Annotation of imach/src/imach.c, revision 1.207

1.207   ! brouard     1: /* $Id: imach.c,v 1.206 2015/10/24 07:14:11 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.207   ! brouard     4:   Revision 1.206  2015/10/24 07:14:11  brouard
        !             5:   *** empty log message ***
        !             6: 
1.206     brouard     7:   Revision 1.205  2015/10/23 15:50:53  brouard
                      8:   Summary: 0.98r3 some clarification for graphs on likelihood contributions
                      9: 
1.205     brouard    10:   Revision 1.204  2015/10/01 16:20:26  brouard
                     11:   Summary: Some new graphs of contribution to likelihood
                     12: 
1.204     brouard    13:   Revision 1.203  2015/09/30 17:45:14  brouard
                     14:   Summary: looking at better estimation of the hessian
                     15: 
                     16:   Also a better criteria for convergence to the period prevalence And
                     17:   therefore adding the number of years needed to converge. (The
                     18:   prevalence in any alive state shold sum to one
                     19: 
1.203     brouard    20:   Revision 1.202  2015/09/22 19:45:16  brouard
                     21:   Summary: Adding some overall graph on contribution to likelihood. Might change
                     22: 
1.202     brouard    23:   Revision 1.201  2015/09/15 17:34:58  brouard
                     24:   Summary: 0.98r0
                     25: 
                     26:   - Some new graphs like suvival functions
                     27:   - Some bugs fixed like model=1+age+V2.
                     28: 
1.201     brouard    29:   Revision 1.200  2015/09/09 16:53:55  brouard
                     30:   Summary: Big bug thanks to Flavia
                     31: 
                     32:   Even model=1+age+V2. did not work anymore
                     33: 
1.200     brouard    34:   Revision 1.199  2015/09/07 14:09:23  brouard
                     35:   Summary: 0.98q6 changing default small png format for graph to vectorized svg.
                     36: 
1.199     brouard    37:   Revision 1.198  2015/09/03 07:14:39  brouard
                     38:   Summary: 0.98q5 Flavia
                     39: 
1.198     brouard    40:   Revision 1.197  2015/09/01 18:24:39  brouard
                     41:   *** empty log message ***
                     42: 
1.197     brouard    43:   Revision 1.196  2015/08/18 23:17:52  brouard
                     44:   Summary: 0.98q5
                     45: 
1.196     brouard    46:   Revision 1.195  2015/08/18 16:28:39  brouard
                     47:   Summary: Adding a hack for testing purpose
                     48: 
                     49:   After reading the title, ftol and model lines, if the comment line has
                     50:   a q, starting with #q, the answer at the end of the run is quit. It
                     51:   permits to run test files in batch with ctest. The former workaround was
                     52:   $ echo q | imach foo.imach
                     53: 
1.195     brouard    54:   Revision 1.194  2015/08/18 13:32:00  brouard
                     55:   Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
                     56: 
1.194     brouard    57:   Revision 1.193  2015/08/04 07:17:42  brouard
                     58:   Summary: 0.98q4
                     59: 
1.193     brouard    60:   Revision 1.192  2015/07/16 16:49:02  brouard
                     61:   Summary: Fixing some outputs
                     62: 
1.192     brouard    63:   Revision 1.191  2015/07/14 10:00:33  brouard
                     64:   Summary: Some fixes
                     65: 
1.191     brouard    66:   Revision 1.190  2015/05/05 08:51:13  brouard
                     67:   Summary: Adding digits in output parameters (7 digits instead of 6)
                     68: 
                     69:   Fix 1+age+.
                     70: 
1.190     brouard    71:   Revision 1.189  2015/04/30 14:45:16  brouard
                     72:   Summary: 0.98q2
                     73: 
1.189     brouard    74:   Revision 1.188  2015/04/30 08:27:53  brouard
                     75:   *** empty log message ***
                     76: 
1.188     brouard    77:   Revision 1.187  2015/04/29 09:11:15  brouard
                     78:   *** empty log message ***
                     79: 
1.187     brouard    80:   Revision 1.186  2015/04/23 12:01:52  brouard
                     81:   Summary: V1*age is working now, version 0.98q1
                     82: 
                     83:   Some codes had been disabled in order to simplify and Vn*age was
                     84:   working in the optimization phase, ie, giving correct MLE parameters,
                     85:   but, as usual, outputs were not correct and program core dumped.
                     86: 
1.186     brouard    87:   Revision 1.185  2015/03/11 13:26:42  brouard
                     88:   Summary: Inclusion of compile and links command line for Intel Compiler
                     89: 
1.185     brouard    90:   Revision 1.184  2015/03/11 11:52:39  brouard
                     91:   Summary: Back from Windows 8. Intel Compiler
                     92: 
1.184     brouard    93:   Revision 1.183  2015/03/10 20:34:32  brouard
                     94:   Summary: 0.98q0, trying with directest, mnbrak fixed
                     95: 
                     96:   We use directest instead of original Powell test; probably no
                     97:   incidence on the results, but better justifications;
                     98:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                     99:   wrong results.
                    100: 
1.183     brouard   101:   Revision 1.182  2015/02/12 08:19:57  brouard
                    102:   Summary: Trying to keep directest which seems simpler and more general
                    103:   Author: Nicolas Brouard
                    104: 
1.182     brouard   105:   Revision 1.181  2015/02/11 23:22:24  brouard
                    106:   Summary: Comments on Powell added
                    107: 
                    108:   Author:
                    109: 
1.181     brouard   110:   Revision 1.180  2015/02/11 17:33:45  brouard
                    111:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                    112: 
1.180     brouard   113:   Revision 1.179  2015/01/04 09:57:06  brouard
                    114:   Summary: back to OS/X
                    115: 
1.179     brouard   116:   Revision 1.178  2015/01/04 09:35:48  brouard
                    117:   *** empty log message ***
                    118: 
1.178     brouard   119:   Revision 1.177  2015/01/03 18:40:56  brouard
                    120:   Summary: Still testing ilc32 on OSX
                    121: 
1.177     brouard   122:   Revision 1.176  2015/01/03 16:45:04  brouard
                    123:   *** empty log message ***
                    124: 
1.176     brouard   125:   Revision 1.175  2015/01/03 16:33:42  brouard
                    126:   *** empty log message ***
                    127: 
1.175     brouard   128:   Revision 1.174  2015/01/03 16:15:49  brouard
                    129:   Summary: Still in cross-compilation
                    130: 
1.174     brouard   131:   Revision 1.173  2015/01/03 12:06:26  brouard
                    132:   Summary: trying to detect cross-compilation
                    133: 
1.173     brouard   134:   Revision 1.172  2014/12/27 12:07:47  brouard
                    135:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                    136: 
1.172     brouard   137:   Revision 1.171  2014/12/23 13:26:59  brouard
                    138:   Summary: Back from Visual C
                    139: 
                    140:   Still problem with utsname.h on Windows
                    141: 
1.171     brouard   142:   Revision 1.170  2014/12/23 11:17:12  brouard
                    143:   Summary: Cleaning some \%% back to %%
                    144: 
                    145:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                    146: 
1.170     brouard   147:   Revision 1.169  2014/12/22 23:08:31  brouard
                    148:   Summary: 0.98p
                    149: 
                    150:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                    151: 
1.169     brouard   152:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard   153:   Summary: update
1.169     brouard   154: 
1.168     brouard   155:   Revision 1.167  2014/12/22 13:50:56  brouard
                    156:   Summary: Testing uname and compiler version and if compiled 32 or 64
                    157: 
                    158:   Testing on Linux 64
                    159: 
1.167     brouard   160:   Revision 1.166  2014/12/22 11:40:47  brouard
                    161:   *** empty log message ***
                    162: 
1.166     brouard   163:   Revision 1.165  2014/12/16 11:20:36  brouard
                    164:   Summary: After compiling on Visual C
                    165: 
                    166:   * imach.c (Module): Merging 1.61 to 1.162
                    167: 
1.165     brouard   168:   Revision 1.164  2014/12/16 10:52:11  brouard
                    169:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    170: 
                    171:   * imach.c (Module): Merging 1.61 to 1.162
                    172: 
1.164     brouard   173:   Revision 1.163  2014/12/16 10:30:11  brouard
                    174:   * imach.c (Module): Merging 1.61 to 1.162
                    175: 
1.163     brouard   176:   Revision 1.162  2014/09/25 11:43:39  brouard
                    177:   Summary: temporary backup 0.99!
                    178: 
1.162     brouard   179:   Revision 1.1  2014/09/16 11:06:58  brouard
                    180:   Summary: With some code (wrong) for nlopt
                    181: 
                    182:   Author:
                    183: 
                    184:   Revision 1.161  2014/09/15 20:41:41  brouard
                    185:   Summary: Problem with macro SQR on Intel compiler
                    186: 
1.161     brouard   187:   Revision 1.160  2014/09/02 09:24:05  brouard
                    188:   *** empty log message ***
                    189: 
1.160     brouard   190:   Revision 1.159  2014/09/01 10:34:10  brouard
                    191:   Summary: WIN32
                    192:   Author: Brouard
                    193: 
1.159     brouard   194:   Revision 1.158  2014/08/27 17:11:51  brouard
                    195:   *** empty log message ***
                    196: 
1.158     brouard   197:   Revision 1.157  2014/08/27 16:26:55  brouard
                    198:   Summary: Preparing windows Visual studio version
                    199:   Author: Brouard
                    200: 
                    201:   In order to compile on Visual studio, time.h is now correct and time_t
                    202:   and tm struct should be used. difftime should be used but sometimes I
                    203:   just make the differences in raw time format (time(&now).
                    204:   Trying to suppress #ifdef LINUX
                    205:   Add xdg-open for __linux in order to open default browser.
                    206: 
1.157     brouard   207:   Revision 1.156  2014/08/25 20:10:10  brouard
                    208:   *** empty log message ***
                    209: 
1.156     brouard   210:   Revision 1.155  2014/08/25 18:32:34  brouard
                    211:   Summary: New compile, minor changes
                    212:   Author: Brouard
                    213: 
1.155     brouard   214:   Revision 1.154  2014/06/20 17:32:08  brouard
                    215:   Summary: Outputs now all graphs of convergence to period prevalence
                    216: 
1.154     brouard   217:   Revision 1.153  2014/06/20 16:45:46  brouard
                    218:   Summary: If 3 live state, convergence to period prevalence on same graph
                    219:   Author: Brouard
                    220: 
1.153     brouard   221:   Revision 1.152  2014/06/18 17:54:09  brouard
                    222:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    223: 
1.152     brouard   224:   Revision 1.151  2014/06/18 16:43:30  brouard
                    225:   *** empty log message ***
                    226: 
1.151     brouard   227:   Revision 1.150  2014/06/18 16:42:35  brouard
                    228:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    229:   Author: brouard
                    230: 
1.150     brouard   231:   Revision 1.149  2014/06/18 15:51:14  brouard
                    232:   Summary: Some fixes in parameter files errors
                    233:   Author: Nicolas Brouard
                    234: 
1.149     brouard   235:   Revision 1.148  2014/06/17 17:38:48  brouard
                    236:   Summary: Nothing new
                    237:   Author: Brouard
                    238: 
                    239:   Just a new packaging for OS/X version 0.98nS
                    240: 
1.148     brouard   241:   Revision 1.147  2014/06/16 10:33:11  brouard
                    242:   *** empty log message ***
                    243: 
1.147     brouard   244:   Revision 1.146  2014/06/16 10:20:28  brouard
                    245:   Summary: Merge
                    246:   Author: Brouard
                    247: 
                    248:   Merge, before building revised version.
                    249: 
1.146     brouard   250:   Revision 1.145  2014/06/10 21:23:15  brouard
                    251:   Summary: Debugging with valgrind
                    252:   Author: Nicolas Brouard
                    253: 
                    254:   Lot of changes in order to output the results with some covariates
                    255:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    256:   improve the code.
                    257:   No more memory valgrind error but a lot has to be done in order to
                    258:   continue the work of splitting the code into subroutines.
                    259:   Also, decodemodel has been improved. Tricode is still not
                    260:   optimal. nbcode should be improved. Documentation has been added in
                    261:   the source code.
                    262: 
1.144     brouard   263:   Revision 1.143  2014/01/26 09:45:38  brouard
                    264:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    265: 
                    266:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    267:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    268: 
1.143     brouard   269:   Revision 1.142  2014/01/26 03:57:36  brouard
                    270:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    271: 
                    272:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    273: 
1.142     brouard   274:   Revision 1.141  2014/01/26 02:42:01  brouard
                    275:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    276: 
1.141     brouard   277:   Revision 1.140  2011/09/02 10:37:54  brouard
                    278:   Summary: times.h is ok with mingw32 now.
                    279: 
1.140     brouard   280:   Revision 1.139  2010/06/14 07:50:17  brouard
                    281:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    282:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    283: 
1.139     brouard   284:   Revision 1.138  2010/04/30 18:19:40  brouard
                    285:   *** empty log message ***
                    286: 
1.138     brouard   287:   Revision 1.137  2010/04/29 18:11:38  brouard
                    288:   (Module): Checking covariates for more complex models
                    289:   than V1+V2. A lot of change to be done. Unstable.
                    290: 
1.137     brouard   291:   Revision 1.136  2010/04/26 20:30:53  brouard
                    292:   (Module): merging some libgsl code. Fixing computation
                    293:   of likelione (using inter/intrapolation if mle = 0) in order to
                    294:   get same likelihood as if mle=1.
                    295:   Some cleaning of code and comments added.
                    296: 
1.136     brouard   297:   Revision 1.135  2009/10/29 15:33:14  brouard
                    298:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    299: 
1.135     brouard   300:   Revision 1.134  2009/10/29 13:18:53  brouard
                    301:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    302: 
1.134     brouard   303:   Revision 1.133  2009/07/06 10:21:25  brouard
                    304:   just nforces
                    305: 
1.133     brouard   306:   Revision 1.132  2009/07/06 08:22:05  brouard
                    307:   Many tings
                    308: 
1.132     brouard   309:   Revision 1.131  2009/06/20 16:22:47  brouard
                    310:   Some dimensions resccaled
                    311: 
1.131     brouard   312:   Revision 1.130  2009/05/26 06:44:34  brouard
                    313:   (Module): Max Covariate is now set to 20 instead of 8. A
                    314:   lot of cleaning with variables initialized to 0. Trying to make
                    315:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    316: 
1.130     brouard   317:   Revision 1.129  2007/08/31 13:49:27  lievre
                    318:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    319: 
1.129     lievre    320:   Revision 1.128  2006/06/30 13:02:05  brouard
                    321:   (Module): Clarifications on computing e.j
                    322: 
1.128     brouard   323:   Revision 1.127  2006/04/28 18:11:50  brouard
                    324:   (Module): Yes the sum of survivors was wrong since
                    325:   imach-114 because nhstepm was no more computed in the age
                    326:   loop. Now we define nhstepma in the age loop.
                    327:   (Module): In order to speed up (in case of numerous covariates) we
                    328:   compute health expectancies (without variances) in a first step
                    329:   and then all the health expectancies with variances or standard
                    330:   deviation (needs data from the Hessian matrices) which slows the
                    331:   computation.
                    332:   In the future we should be able to stop the program is only health
                    333:   expectancies and graph are needed without standard deviations.
                    334: 
1.127     brouard   335:   Revision 1.126  2006/04/28 17:23:28  brouard
                    336:   (Module): Yes the sum of survivors was wrong since
                    337:   imach-114 because nhstepm was no more computed in the age
                    338:   loop. Now we define nhstepma in the age loop.
                    339:   Version 0.98h
                    340: 
1.126     brouard   341:   Revision 1.125  2006/04/04 15:20:31  lievre
                    342:   Errors in calculation of health expectancies. Age was not initialized.
                    343:   Forecasting file added.
                    344: 
                    345:   Revision 1.124  2006/03/22 17:13:53  lievre
                    346:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    347:   The log-likelihood is printed in the log file
                    348: 
                    349:   Revision 1.123  2006/03/20 10:52:43  brouard
                    350:   * imach.c (Module): <title> changed, corresponds to .htm file
                    351:   name. <head> headers where missing.
                    352: 
                    353:   * imach.c (Module): Weights can have a decimal point as for
                    354:   English (a comma might work with a correct LC_NUMERIC environment,
                    355:   otherwise the weight is truncated).
                    356:   Modification of warning when the covariates values are not 0 or
                    357:   1.
                    358:   Version 0.98g
                    359: 
                    360:   Revision 1.122  2006/03/20 09:45:41  brouard
                    361:   (Module): Weights can have a decimal point as for
                    362:   English (a comma might work with a correct LC_NUMERIC environment,
                    363:   otherwise the weight is truncated).
                    364:   Modification of warning when the covariates values are not 0 or
                    365:   1.
                    366:   Version 0.98g
                    367: 
                    368:   Revision 1.121  2006/03/16 17:45:01  lievre
                    369:   * imach.c (Module): Comments concerning covariates added
                    370: 
                    371:   * imach.c (Module): refinements in the computation of lli if
                    372:   status=-2 in order to have more reliable computation if stepm is
                    373:   not 1 month. Version 0.98f
                    374: 
                    375:   Revision 1.120  2006/03/16 15:10:38  lievre
                    376:   (Module): refinements in the computation of lli if
                    377:   status=-2 in order to have more reliable computation if stepm is
                    378:   not 1 month. Version 0.98f
                    379: 
                    380:   Revision 1.119  2006/03/15 17:42:26  brouard
                    381:   (Module): Bug if status = -2, the loglikelihood was
                    382:   computed as likelihood omitting the logarithm. Version O.98e
                    383: 
                    384:   Revision 1.118  2006/03/14 18:20:07  brouard
                    385:   (Module): varevsij Comments added explaining the second
                    386:   table of variances if popbased=1 .
                    387:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    388:   (Module): Function pstamp added
                    389:   (Module): Version 0.98d
                    390: 
                    391:   Revision 1.117  2006/03/14 17:16:22  brouard
                    392:   (Module): varevsij Comments added explaining the second
                    393:   table of variances if popbased=1 .
                    394:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    395:   (Module): Function pstamp added
                    396:   (Module): Version 0.98d
                    397: 
                    398:   Revision 1.116  2006/03/06 10:29:27  brouard
                    399:   (Module): Variance-covariance wrong links and
                    400:   varian-covariance of ej. is needed (Saito).
                    401: 
                    402:   Revision 1.115  2006/02/27 12:17:45  brouard
                    403:   (Module): One freematrix added in mlikeli! 0.98c
                    404: 
                    405:   Revision 1.114  2006/02/26 12:57:58  brouard
                    406:   (Module): Some improvements in processing parameter
                    407:   filename with strsep.
                    408: 
                    409:   Revision 1.113  2006/02/24 14:20:24  brouard
                    410:   (Module): Memory leaks checks with valgrind and:
                    411:   datafile was not closed, some imatrix were not freed and on matrix
                    412:   allocation too.
                    413: 
                    414:   Revision 1.112  2006/01/30 09:55:26  brouard
                    415:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    416: 
                    417:   Revision 1.111  2006/01/25 20:38:18  brouard
                    418:   (Module): Lots of cleaning and bugs added (Gompertz)
                    419:   (Module): Comments can be added in data file. Missing date values
                    420:   can be a simple dot '.'.
                    421: 
                    422:   Revision 1.110  2006/01/25 00:51:50  brouard
                    423:   (Module): Lots of cleaning and bugs added (Gompertz)
                    424: 
                    425:   Revision 1.109  2006/01/24 19:37:15  brouard
                    426:   (Module): Comments (lines starting with a #) are allowed in data.
                    427: 
                    428:   Revision 1.108  2006/01/19 18:05:42  lievre
                    429:   Gnuplot problem appeared...
                    430:   To be fixed
                    431: 
                    432:   Revision 1.107  2006/01/19 16:20:37  brouard
                    433:   Test existence of gnuplot in imach path
                    434: 
                    435:   Revision 1.106  2006/01/19 13:24:36  brouard
                    436:   Some cleaning and links added in html output
                    437: 
                    438:   Revision 1.105  2006/01/05 20:23:19  lievre
                    439:   *** empty log message ***
                    440: 
                    441:   Revision 1.104  2005/09/30 16:11:43  lievre
                    442:   (Module): sump fixed, loop imx fixed, and simplifications.
                    443:   (Module): If the status is missing at the last wave but we know
                    444:   that the person is alive, then we can code his/her status as -2
                    445:   (instead of missing=-1 in earlier versions) and his/her
                    446:   contributions to the likelihood is 1 - Prob of dying from last
                    447:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    448:   the healthy state at last known wave). Version is 0.98
                    449: 
                    450:   Revision 1.103  2005/09/30 15:54:49  lievre
                    451:   (Module): sump fixed, loop imx fixed, and simplifications.
                    452: 
                    453:   Revision 1.102  2004/09/15 17:31:30  brouard
                    454:   Add the possibility to read data file including tab characters.
                    455: 
                    456:   Revision 1.101  2004/09/15 10:38:38  brouard
                    457:   Fix on curr_time
                    458: 
                    459:   Revision 1.100  2004/07/12 18:29:06  brouard
                    460:   Add version for Mac OS X. Just define UNIX in Makefile
                    461: 
                    462:   Revision 1.99  2004/06/05 08:57:40  brouard
                    463:   *** empty log message ***
                    464: 
                    465:   Revision 1.98  2004/05/16 15:05:56  brouard
                    466:   New version 0.97 . First attempt to estimate force of mortality
                    467:   directly from the data i.e. without the need of knowing the health
                    468:   state at each age, but using a Gompertz model: log u =a + b*age .
                    469:   This is the basic analysis of mortality and should be done before any
                    470:   other analysis, in order to test if the mortality estimated from the
                    471:   cross-longitudinal survey is different from the mortality estimated
                    472:   from other sources like vital statistic data.
                    473: 
                    474:   The same imach parameter file can be used but the option for mle should be -3.
                    475: 
1.133     brouard   476:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   477:   former routines in order to include the new code within the former code.
                    478: 
                    479:   The output is very simple: only an estimate of the intercept and of
                    480:   the slope with 95% confident intervals.
                    481: 
                    482:   Current limitations:
                    483:   A) Even if you enter covariates, i.e. with the
                    484:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    485:   B) There is no computation of Life Expectancy nor Life Table.
                    486: 
                    487:   Revision 1.97  2004/02/20 13:25:42  lievre
                    488:   Version 0.96d. Population forecasting command line is (temporarily)
                    489:   suppressed.
                    490: 
                    491:   Revision 1.96  2003/07/15 15:38:55  brouard
                    492:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    493:   rewritten within the same printf. Workaround: many printfs.
                    494: 
                    495:   Revision 1.95  2003/07/08 07:54:34  brouard
                    496:   * imach.c (Repository):
                    497:   (Repository): Using imachwizard code to output a more meaningful covariance
                    498:   matrix (cov(a12,c31) instead of numbers.
                    499: 
                    500:   Revision 1.94  2003/06/27 13:00:02  brouard
                    501:   Just cleaning
                    502: 
                    503:   Revision 1.93  2003/06/25 16:33:55  brouard
                    504:   (Module): On windows (cygwin) function asctime_r doesn't
                    505:   exist so I changed back to asctime which exists.
                    506:   (Module): Version 0.96b
                    507: 
                    508:   Revision 1.92  2003/06/25 16:30:45  brouard
                    509:   (Module): On windows (cygwin) function asctime_r doesn't
                    510:   exist so I changed back to asctime which exists.
                    511: 
                    512:   Revision 1.91  2003/06/25 15:30:29  brouard
                    513:   * imach.c (Repository): Duplicated warning errors corrected.
                    514:   (Repository): Elapsed time after each iteration is now output. It
                    515:   helps to forecast when convergence will be reached. Elapsed time
                    516:   is stamped in powell.  We created a new html file for the graphs
                    517:   concerning matrix of covariance. It has extension -cov.htm.
                    518: 
                    519:   Revision 1.90  2003/06/24 12:34:15  brouard
                    520:   (Module): Some bugs corrected for windows. Also, when
                    521:   mle=-1 a template is output in file "or"mypar.txt with the design
                    522:   of the covariance matrix to be input.
                    523: 
                    524:   Revision 1.89  2003/06/24 12:30:52  brouard
                    525:   (Module): Some bugs corrected for windows. Also, when
                    526:   mle=-1 a template is output in file "or"mypar.txt with the design
                    527:   of the covariance matrix to be input.
                    528: 
                    529:   Revision 1.88  2003/06/23 17:54:56  brouard
                    530:   * 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.
                    531: 
                    532:   Revision 1.87  2003/06/18 12:26:01  brouard
                    533:   Version 0.96
                    534: 
                    535:   Revision 1.86  2003/06/17 20:04:08  brouard
                    536:   (Module): Change position of html and gnuplot routines and added
                    537:   routine fileappend.
                    538: 
                    539:   Revision 1.85  2003/06/17 13:12:43  brouard
                    540:   * imach.c (Repository): Check when date of death was earlier that
                    541:   current date of interview. It may happen when the death was just
                    542:   prior to the death. In this case, dh was negative and likelihood
                    543:   was wrong (infinity). We still send an "Error" but patch by
                    544:   assuming that the date of death was just one stepm after the
                    545:   interview.
                    546:   (Repository): Because some people have very long ID (first column)
                    547:   we changed int to long in num[] and we added a new lvector for
                    548:   memory allocation. But we also truncated to 8 characters (left
                    549:   truncation)
                    550:   (Repository): No more line truncation errors.
                    551: 
                    552:   Revision 1.84  2003/06/13 21:44:43  brouard
                    553:   * imach.c (Repository): Replace "freqsummary" at a correct
                    554:   place. It differs from routine "prevalence" which may be called
                    555:   many times. Probs is memory consuming and must be used with
                    556:   parcimony.
                    557:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    558: 
                    559:   Revision 1.83  2003/06/10 13:39:11  lievre
                    560:   *** empty log message ***
                    561: 
                    562:   Revision 1.82  2003/06/05 15:57:20  brouard
                    563:   Add log in  imach.c and  fullversion number is now printed.
                    564: 
                    565: */
                    566: /*
                    567:    Interpolated Markov Chain
                    568: 
                    569:   Short summary of the programme:
                    570:   
                    571:   This program computes Healthy Life Expectancies from
                    572:   cross-longitudinal data. Cross-longitudinal data consist in: -1- a
                    573:   first survey ("cross") where individuals from different ages are
                    574:   interviewed on their health status or degree of disability (in the
                    575:   case of a health survey which is our main interest) -2- at least a
                    576:   second wave of interviews ("longitudinal") which measure each change
                    577:   (if any) in individual health status.  Health expectancies are
                    578:   computed from the time spent in each health state according to a
                    579:   model. More health states you consider, more time is necessary to reach the
                    580:   Maximum Likelihood of the parameters involved in the model.  The
                    581:   simplest model is the multinomial logistic model where pij is the
                    582:   probability to be observed in state j at the second wave
                    583:   conditional to be observed in state i at the first wave. Therefore
                    584:   the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where
                    585:   'age' is age and 'sex' is a covariate. If you want to have a more
                    586:   complex model than "constant and age", you should modify the program
                    587:   where the markup *Covariates have to be included here again* invites
                    588:   you to do it.  More covariates you add, slower the
                    589:   convergence.
                    590: 
                    591:   The advantage of this computer programme, compared to a simple
                    592:   multinomial logistic model, is clear when the delay between waves is not
                    593:   identical for each individual. Also, if a individual missed an
                    594:   intermediate interview, the information is lost, but taken into
                    595:   account using an interpolation or extrapolation.  
                    596: 
                    597:   hPijx is the probability to be observed in state i at age x+h
                    598:   conditional to the observed state i at age x. The delay 'h' can be
                    599:   split into an exact number (nh*stepm) of unobserved intermediate
                    600:   states. This elementary transition (by month, quarter,
                    601:   semester or year) is modelled as a multinomial logistic.  The hPx
                    602:   matrix is simply the matrix product of nh*stepm elementary matrices
                    603:   and the contribution of each individual to the likelihood is simply
                    604:   hPijx.
                    605: 
                    606:   Also this programme outputs the covariance matrix of the parameters but also
                    607:   of the life expectancies. It also computes the period (stable) prevalence. 
                    608:   
1.133     brouard   609:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                    610:            Institut national d'études démographiques, Paris.
1.126     brouard   611:   This software have been partly granted by Euro-REVES, a concerted action
                    612:   from the European Union.
                    613:   It is copyrighted identically to a GNU software product, ie programme and
                    614:   software can be distributed freely for non commercial use. Latest version
                    615:   can be accessed at http://euroreves.ined.fr/imach .
                    616: 
                    617:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                    618:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                    619:   
                    620:   **********************************************************************/
                    621: /*
                    622:   main
                    623:   read parameterfile
                    624:   read datafile
                    625:   concatwav
                    626:   freqsummary
                    627:   if (mle >= 1)
                    628:     mlikeli
                    629:   print results files
                    630:   if mle==1 
                    631:      computes hessian
                    632:   read end of parameter file: agemin, agemax, bage, fage, estepm
                    633:       begin-prev-date,...
                    634:   open gnuplot file
                    635:   open html file
1.145     brouard   636:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                    637:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                    638:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                    639:     freexexit2 possible for memory heap.
                    640: 
                    641:   h Pij x                         | pij_nom  ficrestpij
                    642:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                    643:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                    644:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                    645: 
                    646:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                    647:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                    648:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                    649:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                    650:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                    651: 
1.126     brouard   652:   forecasting if prevfcast==1 prevforecast call prevalence()
                    653:   health expectancies
                    654:   Variance-covariance of DFLE
                    655:   prevalence()
                    656:    movingaverage()
                    657:   varevsij() 
                    658:   if popbased==1 varevsij(,popbased)
                    659:   total life expectancies
                    660:   Variance of period (stable) prevalence
                    661:  end
                    662: */
                    663: 
1.187     brouard   664: /* #define DEBUG */
                    665: /* #define DEBUGBRENT */
1.203     brouard   666: /* #define DEBUGLINMIN */
                    667: /* #define DEBUGHESS */
                    668: #define DEBUGHESSIJ
                    669: /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan)*\/ */
1.165     brouard   670: #define POWELL /* Instead of NLOPT */
1.192     brouard   671: #define POWELLF1F3 /* Skip test */
1.186     brouard   672: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                    673: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.126     brouard   674: 
                    675: #include <math.h>
                    676: #include <stdio.h>
                    677: #include <stdlib.h>
                    678: #include <string.h>
1.159     brouard   679: 
                    680: #ifdef _WIN32
                    681: #include <io.h>
1.172     brouard   682: #include <windows.h>
                    683: #include <tchar.h>
1.159     brouard   684: #else
1.126     brouard   685: #include <unistd.h>
1.159     brouard   686: #endif
1.126     brouard   687: 
                    688: #include <limits.h>
                    689: #include <sys/types.h>
1.171     brouard   690: 
                    691: #if defined(__GNUC__)
                    692: #include <sys/utsname.h> /* Doesn't work on Windows */
                    693: #endif
                    694: 
1.126     brouard   695: #include <sys/stat.h>
                    696: #include <errno.h>
1.159     brouard   697: /* extern int errno; */
1.126     brouard   698: 
1.157     brouard   699: /* #ifdef LINUX */
                    700: /* #include <time.h> */
                    701: /* #include "timeval.h" */
                    702: /* #else */
                    703: /* #include <sys/time.h> */
                    704: /* #endif */
                    705: 
1.126     brouard   706: #include <time.h>
                    707: 
1.136     brouard   708: #ifdef GSL
                    709: #include <gsl/gsl_errno.h>
                    710: #include <gsl/gsl_multimin.h>
                    711: #endif
                    712: 
1.167     brouard   713: 
1.162     brouard   714: #ifdef NLOPT
                    715: #include <nlopt.h>
                    716: typedef struct {
                    717:   double (* function)(double [] );
                    718: } myfunc_data ;
                    719: #endif
                    720: 
1.126     brouard   721: /* #include <libintl.h> */
                    722: /* #define _(String) gettext (String) */
                    723: 
1.141     brouard   724: #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard   725: 
                    726: #define GNUPLOTPROGRAM "gnuplot"
                    727: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                    728: #define FILENAMELENGTH 132
                    729: 
                    730: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                    731: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                    732: 
1.144     brouard   733: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                    734: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard   735: 
                    736: #define NINTERVMAX 8
1.144     brouard   737: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                    738: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
                    739: #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
1.197     brouard   740: #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.126     brouard   741: #define MAXN 20000
1.144     brouard   742: #define YEARM 12. /**< Number of months per year */
1.126     brouard   743: #define AGESUP 130
                    744: #define AGEBASE 40
1.194     brouard   745: #define AGEOVERFLOW 1.e20
1.164     brouard   746: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard   747: #ifdef _WIN32
                    748: #define DIRSEPARATOR '\\'
                    749: #define CHARSEPARATOR "\\"
                    750: #define ODIRSEPARATOR '/'
                    751: #else
1.126     brouard   752: #define DIRSEPARATOR '/'
                    753: #define CHARSEPARATOR "/"
                    754: #define ODIRSEPARATOR '\\'
                    755: #endif
                    756: 
1.207   ! brouard   757: /* $Id: imach.c,v 1.206 2015/10/24 07:14:11 brouard Exp $ */
1.126     brouard   758: /* $State: Exp $ */
1.196     brouard   759: #include "version.h"
                    760: char version[]=__IMACH_VERSION__;
1.204     brouard   761: char copyright[]="October 2015,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015";
1.207   ! brouard   762: char fullversion[]="$Revision: 1.206 $ $Date: 2015/10/24 07:14:11 $"; 
1.126     brouard   763: char strstart[80];
                    764: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard   765: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard   766: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard   767: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                    768: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                    769: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
                    770: int cptcovs=0; /**< cptcovs number of simple covariates V2+V1 =2 */
                    771: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                    772: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                    773: int cptcoveff=0; /* Total number of covariates to vary for printing results */
                    774: int cptcov=0; /* Working variable */
1.126     brouard   775: int npar=NPARMAX;
                    776: int nlstate=2; /* Number of live states */
                    777: int ndeath=1; /* Number of dead states */
1.130     brouard   778: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.126     brouard   779: int popbased=0;
                    780: 
                    781: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard   782: int maxwav=0; /* Maxim number of waves */
                    783: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                    784: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                    785: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard   786:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard   787: int mle=1, weightopt=0;
1.126     brouard   788: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                    789: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                    790: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                    791:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard   792: int countcallfunc=0;  /* Count the number of calls to func */
1.130     brouard   793: double jmean=1; /* Mean space between 2 waves */
1.145     brouard   794: double **matprod2(); /* test */
1.126     brouard   795: double **oldm, **newm, **savm; /* Working pointers to matrices */
                    796: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.136     brouard   797: /*FILE *fic ; */ /* Used in readdata only */
                    798: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
1.126     brouard   799: FILE *ficlog, *ficrespow;
1.130     brouard   800: int globpr=0; /* Global variable for printing or not */
1.126     brouard   801: double fretone; /* Only one call to likelihood */
1.130     brouard   802: long ipmx=0; /* Number of contributions */
1.126     brouard   803: double sw; /* Sum of weights */
                    804: char filerespow[FILENAMELENGTH];
                    805: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                    806: FILE *ficresilk;
                    807: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                    808: FILE *ficresprobmorprev;
                    809: FILE *fichtm, *fichtmcov; /* Html File */
                    810: FILE *ficreseij;
                    811: char filerese[FILENAMELENGTH];
                    812: FILE *ficresstdeij;
                    813: char fileresstde[FILENAMELENGTH];
                    814: FILE *ficrescveij;
                    815: char filerescve[FILENAMELENGTH];
                    816: FILE  *ficresvij;
                    817: char fileresv[FILENAMELENGTH];
                    818: FILE  *ficresvpl;
                    819: char fileresvpl[FILENAMELENGTH];
                    820: char title[MAXLINE];
                    821: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
                    822: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                    823: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                    824: char command[FILENAMELENGTH];
                    825: int  outcmd=0;
                    826: 
                    827: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
1.202     brouard   828: char fileresu[FILENAMELENGTH]; /* fileres without r in front */
1.126     brouard   829: char filelog[FILENAMELENGTH]; /* Log file */
                    830: char filerest[FILENAMELENGTH];
                    831: char fileregp[FILENAMELENGTH];
                    832: char popfile[FILENAMELENGTH];
                    833: 
                    834: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                    835: 
1.157     brouard   836: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                    837: /* struct timezone tzp; */
                    838: /* extern int gettimeofday(); */
                    839: struct tm tml, *gmtime(), *localtime();
                    840: 
                    841: extern time_t time();
                    842: 
                    843: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                    844: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                    845: struct tm tm;
                    846: 
1.126     brouard   847: char strcurr[80], strfor[80];
                    848: 
                    849: char *endptr;
                    850: long lval;
                    851: double dval;
                    852: 
                    853: #define NR_END 1
                    854: #define FREE_ARG char*
                    855: #define FTOL 1.0e-10
                    856: 
                    857: #define NRANSI 
                    858: #define ITMAX 200 
                    859: 
                    860: #define TOL 2.0e-4 
                    861: 
                    862: #define CGOLD 0.3819660 
                    863: #define ZEPS 1.0e-10 
                    864: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                    865: 
                    866: #define GOLD 1.618034 
                    867: #define GLIMIT 100.0 
                    868: #define TINY 1.0e-20 
                    869: 
                    870: static double maxarg1,maxarg2;
                    871: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                    872: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                    873:   
                    874: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                    875: #define rint(a) floor(a+0.5)
1.166     brouard   876: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard   877: #define mytinydouble 1.0e-16
1.166     brouard   878: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                    879: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                    880: /* static double dsqrarg; */
                    881: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard   882: static double sqrarg;
                    883: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                    884: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                    885: int agegomp= AGEGOMP;
                    886: 
                    887: int imx; 
                    888: int stepm=1;
                    889: /* Stepm, step in month: minimum step interpolation*/
                    890: 
                    891: int estepm;
                    892: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                    893: 
                    894: int m,nb;
                    895: long *num;
1.197     brouard   896: int firstpass=0, lastpass=4,*cod, *cens;
1.192     brouard   897: int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                    898:                   covariate for which somebody answered excluding 
                    899:                   undefined. Usually 2: 0 and 1. */
                    900: int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                    901:                             covariate for which somebody answered including 
                    902:                             undefined. Usually 3: -1, 0 and 1. */
1.126     brouard   903: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
                    904: double **pmmij, ***probs;
                    905: double *ageexmed,*agecens;
                    906: double dateintmean=0;
                    907: 
                    908: double *weight;
                    909: int **s; /* Status */
1.141     brouard   910: double *agedc;
1.145     brouard   911: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard   912:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard   913:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.141     brouard   914: double  idx; 
                    915: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.197     brouard   916: int *Tage;
1.145     brouard   917: int *Ndum; /** Freq of modality (tricode */
1.200     brouard   918: /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
1.141     brouard   919: int **Tvard, *Tprod, cptcovprod, *Tvaraff;
1.126     brouard   920: double *lsurv, *lpop, *tpop;
                    921: 
1.143     brouard   922: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                    923: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard   924: 
                    925: /**************** split *************************/
                    926: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                    927: {
                    928:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                    929:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                    930:   */ 
                    931:   char *ss;                            /* pointer */
1.186     brouard   932:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard   933: 
                    934:   l1 = strlen(path );                  /* length of path */
                    935:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                    936:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                    937:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                    938:     strcpy( name, path );              /* we got the fullname name because no directory */
                    939:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                    940:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                    941:     /* get current working directory */
                    942:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard   943: #ifdef WIN32
                    944:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                    945: #else
                    946:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                    947: #endif
1.126     brouard   948:       return( GLOCK_ERROR_GETCWD );
                    949:     }
                    950:     /* got dirc from getcwd*/
                    951:     printf(" DIRC = %s \n",dirc);
1.205     brouard   952:   } else {                             /* strip directory from path */
1.126     brouard   953:     ss++;                              /* after this, the filename */
                    954:     l2 = strlen( ss );                 /* length of filename */
                    955:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                    956:     strcpy( name, ss );                /* save file name */
                    957:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard   958:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard   959:     printf(" DIRC2 = %s \n",dirc);
                    960:   }
                    961:   /* We add a separator at the end of dirc if not exists */
                    962:   l1 = strlen( dirc );                 /* length of directory */
                    963:   if( dirc[l1-1] != DIRSEPARATOR ){
                    964:     dirc[l1] =  DIRSEPARATOR;
                    965:     dirc[l1+1] = 0; 
                    966:     printf(" DIRC3 = %s \n",dirc);
                    967:   }
                    968:   ss = strrchr( name, '.' );           /* find last / */
                    969:   if (ss >0){
                    970:     ss++;
                    971:     strcpy(ext,ss);                    /* save extension */
                    972:     l1= strlen( name);
                    973:     l2= strlen(ss)+1;
                    974:     strncpy( finame, name, l1-l2);
                    975:     finame[l1-l2]= 0;
                    976:   }
                    977: 
                    978:   return( 0 );                         /* we're done */
                    979: }
                    980: 
                    981: 
                    982: /******************************************/
                    983: 
                    984: void replace_back_to_slash(char *s, char*t)
                    985: {
                    986:   int i;
                    987:   int lg=0;
                    988:   i=0;
                    989:   lg=strlen(t);
                    990:   for(i=0; i<= lg; i++) {
                    991:     (s[i] = t[i]);
                    992:     if (t[i]== '\\') s[i]='/';
                    993:   }
                    994: }
                    995: 
1.132     brouard   996: char *trimbb(char *out, char *in)
1.137     brouard   997: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard   998:   char *s;
                    999:   s=out;
                   1000:   while (*in != '\0'){
1.137     brouard  1001:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard  1002:       in++;
                   1003:     }
                   1004:     *out++ = *in++;
                   1005:   }
                   1006:   *out='\0';
                   1007:   return s;
                   1008: }
                   1009: 
1.187     brouard  1010: /* char *substrchaine(char *out, char *in, char *chain) */
                   1011: /* { */
                   1012: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                   1013: /*   char *s, *t; */
                   1014: /*   t=in;s=out; */
                   1015: /*   while ((*in != *chain) && (*in != '\0')){ */
                   1016: /*     *out++ = *in++; */
                   1017: /*   } */
                   1018: 
                   1019: /*   /\* *in matches *chain *\/ */
                   1020: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                   1021: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1022: /*   } */
                   1023: /*   in--; chain--; */
                   1024: /*   while ( (*in != '\0')){ */
                   1025: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1026: /*     *out++ = *in++; */
                   1027: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1028: /*   } */
                   1029: /*   *out='\0'; */
                   1030: /*   out=s; */
                   1031: /*   return out; */
                   1032: /* } */
                   1033: char *substrchaine(char *out, char *in, char *chain)
                   1034: {
                   1035:   /* Substract chain 'chain' from 'in', return and output 'out' */
                   1036:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                   1037: 
                   1038:   char *strloc;
                   1039: 
                   1040:   strcpy (out, in); 
                   1041:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                   1042:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                   1043:   if(strloc != NULL){ 
                   1044:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                   1045:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                   1046:     /* strcpy (strloc, strloc +strlen(chain));*/
                   1047:   }
                   1048:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                   1049:   return out;
                   1050: }
                   1051: 
                   1052: 
1.145     brouard  1053: char *cutl(char *blocc, char *alocc, char *in, char occ)
                   1054: {
1.187     brouard  1055:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard  1056:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.187     brouard  1057:      gives blocc="abcdef" and alocc="ghi2j".
1.145     brouard  1058:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                   1059:   */
1.160     brouard  1060:   char *s, *t;
1.145     brouard  1061:   t=in;s=in;
                   1062:   while ((*in != occ) && (*in != '\0')){
                   1063:     *alocc++ = *in++;
                   1064:   }
                   1065:   if( *in == occ){
                   1066:     *(alocc)='\0';
                   1067:     s=++in;
                   1068:   }
                   1069:  
                   1070:   if (s == t) {/* occ not found */
                   1071:     *(alocc-(in-s))='\0';
                   1072:     in=s;
                   1073:   }
                   1074:   while ( *in != '\0'){
                   1075:     *blocc++ = *in++;
                   1076:   }
                   1077: 
                   1078:   *blocc='\0';
                   1079:   return t;
                   1080: }
1.137     brouard  1081: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1082: {
1.187     brouard  1083:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1084:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1085:      gives blocc="abcdef2ghi" and alocc="j".
                   1086:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1087:   */
                   1088:   char *s, *t;
                   1089:   t=in;s=in;
                   1090:   while (*in != '\0'){
                   1091:     while( *in == occ){
                   1092:       *blocc++ = *in++;
                   1093:       s=in;
                   1094:     }
                   1095:     *blocc++ = *in++;
                   1096:   }
                   1097:   if (s == t) /* occ not found */
                   1098:     *(blocc-(in-s))='\0';
                   1099:   else
                   1100:     *(blocc-(in-s)-1)='\0';
                   1101:   in=s;
                   1102:   while ( *in != '\0'){
                   1103:     *alocc++ = *in++;
                   1104:   }
                   1105: 
                   1106:   *alocc='\0';
                   1107:   return s;
                   1108: }
                   1109: 
1.126     brouard  1110: int nbocc(char *s, char occ)
                   1111: {
                   1112:   int i,j=0;
                   1113:   int lg=20;
                   1114:   i=0;
                   1115:   lg=strlen(s);
                   1116:   for(i=0; i<= lg; i++) {
                   1117:   if  (s[i] == occ ) j++;
                   1118:   }
                   1119:   return j;
                   1120: }
                   1121: 
1.137     brouard  1122: /* void cutv(char *u,char *v, char*t, char occ) */
                   1123: /* { */
                   1124: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1125: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1126: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1127: /*   int i,lg,j,p=0; */
                   1128: /*   i=0; */
                   1129: /*   lg=strlen(t); */
                   1130: /*   for(j=0; j<=lg-1; j++) { */
                   1131: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1132: /*   } */
1.126     brouard  1133: 
1.137     brouard  1134: /*   for(j=0; j<p; j++) { */
                   1135: /*     (u[j] = t[j]); */
                   1136: /*   } */
                   1137: /*      u[p]='\0'; */
1.126     brouard  1138: 
1.137     brouard  1139: /*    for(j=0; j<= lg; j++) { */
                   1140: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1141: /*   } */
                   1142: /* } */
1.126     brouard  1143: 
1.160     brouard  1144: #ifdef _WIN32
                   1145: char * strsep(char **pp, const char *delim)
                   1146: {
                   1147:   char *p, *q;
                   1148:          
                   1149:   if ((p = *pp) == NULL)
                   1150:     return 0;
                   1151:   if ((q = strpbrk (p, delim)) != NULL)
                   1152:   {
                   1153:     *pp = q + 1;
                   1154:     *q = '\0';
                   1155:   }
                   1156:   else
                   1157:     *pp = 0;
                   1158:   return p;
                   1159: }
                   1160: #endif
                   1161: 
1.126     brouard  1162: /********************** nrerror ********************/
                   1163: 
                   1164: void nrerror(char error_text[])
                   1165: {
                   1166:   fprintf(stderr,"ERREUR ...\n");
                   1167:   fprintf(stderr,"%s\n",error_text);
                   1168:   exit(EXIT_FAILURE);
                   1169: }
                   1170: /*********************** vector *******************/
                   1171: double *vector(int nl, int nh)
                   1172: {
                   1173:   double *v;
                   1174:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1175:   if (!v) nrerror("allocation failure in vector");
                   1176:   return v-nl+NR_END;
                   1177: }
                   1178: 
                   1179: /************************ free vector ******************/
                   1180: void free_vector(double*v, int nl, int nh)
                   1181: {
                   1182:   free((FREE_ARG)(v+nl-NR_END));
                   1183: }
                   1184: 
                   1185: /************************ivector *******************************/
                   1186: int *ivector(long nl,long nh)
                   1187: {
                   1188:   int *v;
                   1189:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1190:   if (!v) nrerror("allocation failure in ivector");
                   1191:   return v-nl+NR_END;
                   1192: }
                   1193: 
                   1194: /******************free ivector **************************/
                   1195: void free_ivector(int *v, long nl, long nh)
                   1196: {
                   1197:   free((FREE_ARG)(v+nl-NR_END));
                   1198: }
                   1199: 
                   1200: /************************lvector *******************************/
                   1201: long *lvector(long nl,long nh)
                   1202: {
                   1203:   long *v;
                   1204:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1205:   if (!v) nrerror("allocation failure in ivector");
                   1206:   return v-nl+NR_END;
                   1207: }
                   1208: 
                   1209: /******************free lvector **************************/
                   1210: void free_lvector(long *v, long nl, long nh)
                   1211: {
                   1212:   free((FREE_ARG)(v+nl-NR_END));
                   1213: }
                   1214: 
                   1215: /******************* imatrix *******************************/
                   1216: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1217:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1218: { 
                   1219:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1220:   int **m; 
                   1221:   
                   1222:   /* allocate pointers to rows */ 
                   1223:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1224:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1225:   m += NR_END; 
                   1226:   m -= nrl; 
                   1227:   
                   1228:   
                   1229:   /* allocate rows and set pointers to them */ 
                   1230:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1231:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1232:   m[nrl] += NR_END; 
                   1233:   m[nrl] -= ncl; 
                   1234:   
                   1235:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1236:   
                   1237:   /* return pointer to array of pointers to rows */ 
                   1238:   return m; 
                   1239: } 
                   1240: 
                   1241: /****************** free_imatrix *************************/
                   1242: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1243:       int **m;
                   1244:       long nch,ncl,nrh,nrl; 
                   1245:      /* free an int matrix allocated by imatrix() */ 
                   1246: { 
                   1247:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1248:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1249: } 
                   1250: 
                   1251: /******************* matrix *******************************/
                   1252: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1253: {
                   1254:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1255:   double **m;
                   1256: 
                   1257:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1258:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1259:   m += NR_END;
                   1260:   m -= nrl;
                   1261: 
                   1262:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1263:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1264:   m[nrl] += NR_END;
                   1265:   m[nrl] -= ncl;
                   1266: 
                   1267:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1268:   return m;
1.145     brouard  1269:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1270: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1271: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1272:    */
                   1273: }
                   1274: 
                   1275: /*************************free matrix ************************/
                   1276: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1277: {
                   1278:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1279:   free((FREE_ARG)(m+nrl-NR_END));
                   1280: }
                   1281: 
                   1282: /******************* ma3x *******************************/
                   1283: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1284: {
                   1285:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1286:   double ***m;
                   1287: 
                   1288:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1289:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1290:   m += NR_END;
                   1291:   m -= nrl;
                   1292: 
                   1293:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1294:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1295:   m[nrl] += NR_END;
                   1296:   m[nrl] -= ncl;
                   1297: 
                   1298:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1299: 
                   1300:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1301:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1302:   m[nrl][ncl] += NR_END;
                   1303:   m[nrl][ncl] -= nll;
                   1304:   for (j=ncl+1; j<=nch; j++) 
                   1305:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1306:   
                   1307:   for (i=nrl+1; i<=nrh; i++) {
                   1308:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1309:     for (j=ncl+1; j<=nch; j++) 
                   1310:       m[i][j]=m[i][j-1]+nlay;
                   1311:   }
                   1312:   return m; 
                   1313:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1314:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1315:   */
                   1316: }
                   1317: 
                   1318: /*************************free ma3x ************************/
                   1319: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1320: {
                   1321:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1322:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1323:   free((FREE_ARG)(m+nrl-NR_END));
                   1324: }
                   1325: 
                   1326: /*************** function subdirf ***********/
                   1327: char *subdirf(char fileres[])
                   1328: {
                   1329:   /* Caution optionfilefiname is hidden */
                   1330:   strcpy(tmpout,optionfilefiname);
                   1331:   strcat(tmpout,"/"); /* Add to the right */
                   1332:   strcat(tmpout,fileres);
                   1333:   return tmpout;
                   1334: }
                   1335: 
                   1336: /*************** function subdirf2 ***********/
                   1337: char *subdirf2(char fileres[], char *preop)
                   1338: {
                   1339:   
                   1340:   /* Caution optionfilefiname is hidden */
                   1341:   strcpy(tmpout,optionfilefiname);
                   1342:   strcat(tmpout,"/");
                   1343:   strcat(tmpout,preop);
                   1344:   strcat(tmpout,fileres);
                   1345:   return tmpout;
                   1346: }
                   1347: 
                   1348: /*************** function subdirf3 ***********/
                   1349: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1350: {
                   1351:   
                   1352:   /* Caution optionfilefiname is hidden */
                   1353:   strcpy(tmpout,optionfilefiname);
                   1354:   strcat(tmpout,"/");
                   1355:   strcat(tmpout,preop);
                   1356:   strcat(tmpout,preop2);
                   1357:   strcat(tmpout,fileres);
                   1358:   return tmpout;
                   1359: }
                   1360: 
1.162     brouard  1361: char *asc_diff_time(long time_sec, char ascdiff[])
                   1362: {
                   1363:   long sec_left, days, hours, minutes;
                   1364:   days = (time_sec) / (60*60*24);
                   1365:   sec_left = (time_sec) % (60*60*24);
                   1366:   hours = (sec_left) / (60*60) ;
                   1367:   sec_left = (sec_left) %(60*60);
                   1368:   minutes = (sec_left) /60;
                   1369:   sec_left = (sec_left) % (60);
                   1370:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1371:   return ascdiff;
                   1372: }
                   1373: 
1.126     brouard  1374: /***************** f1dim *************************/
                   1375: extern int ncom; 
                   1376: extern double *pcom,*xicom;
                   1377: extern double (*nrfunc)(double []); 
                   1378:  
                   1379: double f1dim(double x) 
                   1380: { 
                   1381:   int j; 
                   1382:   double f;
                   1383:   double *xt; 
                   1384:  
                   1385:   xt=vector(1,ncom); 
                   1386:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   1387:   f=(*nrfunc)(xt); 
                   1388:   free_vector(xt,1,ncom); 
                   1389:   return f; 
                   1390: } 
                   1391: 
                   1392: /*****************brent *************************/
                   1393: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  1394: {
                   1395:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   1396:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   1397:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   1398:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   1399:    * returned function value. 
                   1400:   */
1.126     brouard  1401:   int iter; 
                   1402:   double a,b,d,etemp;
1.159     brouard  1403:   double fu=0,fv,fw,fx;
1.164     brouard  1404:   double ftemp=0.;
1.126     brouard  1405:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   1406:   double e=0.0; 
                   1407:  
                   1408:   a=(ax < cx ? ax : cx); 
                   1409:   b=(ax > cx ? ax : cx); 
                   1410:   x=w=v=bx; 
                   1411:   fw=fv=fx=(*f)(x); 
                   1412:   for (iter=1;iter<=ITMAX;iter++) { 
                   1413:     xm=0.5*(a+b); 
                   1414:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   1415:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   1416:     printf(".");fflush(stdout);
                   1417:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  1418: #ifdef DEBUGBRENT
1.126     brouard  1419:     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);
                   1420:     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);
                   1421:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   1422: #endif
                   1423:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   1424:       *xmin=x; 
                   1425:       return fx; 
                   1426:     } 
                   1427:     ftemp=fu;
                   1428:     if (fabs(e) > tol1) { 
                   1429:       r=(x-w)*(fx-fv); 
                   1430:       q=(x-v)*(fx-fw); 
                   1431:       p=(x-v)*q-(x-w)*r; 
                   1432:       q=2.0*(q-r); 
                   1433:       if (q > 0.0) p = -p; 
                   1434:       q=fabs(q); 
                   1435:       etemp=e; 
                   1436:       e=d; 
                   1437:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
                   1438:        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1439:       else { 
                   1440:        d=p/q; 
                   1441:        u=x+d; 
                   1442:        if (u-a < tol2 || b-u < tol2) 
                   1443:          d=SIGN(tol1,xm-x); 
                   1444:       } 
                   1445:     } else { 
                   1446:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1447:     } 
                   1448:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   1449:     fu=(*f)(u); 
                   1450:     if (fu <= fx) { 
                   1451:       if (u >= x) a=x; else b=x; 
                   1452:       SHFT(v,w,x,u) 
1.183     brouard  1453:       SHFT(fv,fw,fx,fu) 
                   1454:     } else { 
                   1455:       if (u < x) a=u; else b=u; 
                   1456:       if (fu <= fw || w == x) { 
                   1457:        v=w; 
                   1458:        w=u; 
                   1459:        fv=fw; 
                   1460:        fw=fu; 
                   1461:       } else if (fu <= fv || v == x || v == w) { 
                   1462:        v=u; 
                   1463:        fv=fu; 
                   1464:       } 
                   1465:     } 
1.126     brouard  1466:   } 
                   1467:   nrerror("Too many iterations in brent"); 
                   1468:   *xmin=x; 
                   1469:   return fx; 
                   1470: } 
                   1471: 
                   1472: /****************** mnbrak ***********************/
                   1473: 
                   1474: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   1475:            double (*func)(double)) 
1.183     brouard  1476: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   1477: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   1478: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   1479: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   1480:    */
1.126     brouard  1481:   double ulim,u,r,q, dum;
                   1482:   double fu; 
1.187     brouard  1483: 
                   1484:   double scale=10.;
                   1485:   int iterscale=0;
                   1486: 
                   1487:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   1488:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   1489: 
                   1490: 
                   1491:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   1492:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   1493:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   1494:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   1495:   /* } */
                   1496: 
1.126     brouard  1497:   if (*fb > *fa) { 
                   1498:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  1499:     SHFT(dum,*fb,*fa,dum) 
                   1500:   } 
1.126     brouard  1501:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   1502:   *fc=(*func)(*cx); 
1.183     brouard  1503: #ifdef DEBUG
                   1504:   printf("mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
                   1505:   fprintf(ficlog,"mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
                   1506: #endif
                   1507:   while (*fb > *fc) { /* Declining a,b,c with fa> fb > fc */
1.126     brouard  1508:     r=(*bx-*ax)*(*fb-*fc); 
                   1509:     q=(*bx-*cx)*(*fb-*fa); 
                   1510:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  1511:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   1512:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   1513:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  1514:       fu=(*func)(u); 
1.163     brouard  1515: #ifdef DEBUG
                   1516:       /* f(x)=A(x-u)**2+f(u) */
                   1517:       double A, fparabu; 
                   1518:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   1519:       fparabu= *fa - A*(*ax-u)*(*ax-u);
                   1520:       printf("mnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu);
                   1521:       fprintf(ficlog, "mnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu);
1.183     brouard  1522:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   1523:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   1524:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   1525:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  1526: #endif 
1.184     brouard  1527: #ifdef MNBRAKORIGINAL
1.183     brouard  1528: #else
1.191     brouard  1529: /*       if (fu > *fc) { */
                   1530: /* #ifdef DEBUG */
                   1531: /*       printf("mnbrak4  fu > fc \n"); */
                   1532: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
                   1533: /* #endif */
                   1534: /*     /\* 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 *\\/  *\/ */
                   1535: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
                   1536: /*     dum=u; /\* Shifting c and u *\/ */
                   1537: /*     u = *cx; */
                   1538: /*     *cx = dum; */
                   1539: /*     dum = fu; */
                   1540: /*     fu = *fc; */
                   1541: /*     *fc =dum; */
                   1542: /*       } else { /\* end *\/ */
                   1543: /* #ifdef DEBUG */
                   1544: /*       printf("mnbrak3  fu < fc \n"); */
                   1545: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
                   1546: /* #endif */
                   1547: /*     dum=u; /\* Shifting c and u *\/ */
                   1548: /*     u = *cx; */
                   1549: /*     *cx = dum; */
                   1550: /*     dum = fu; */
                   1551: /*     fu = *fc; */
                   1552: /*     *fc =dum; */
                   1553: /*       } */
1.183     brouard  1554: #ifdef DEBUG
1.191     brouard  1555:       printf("mnbrak34  fu < or >= fc \n");
                   1556:       fprintf(ficlog, "mnbrak34 fu < fc\n");
1.183     brouard  1557: #endif
1.191     brouard  1558:       dum=u; /* Shifting c and u */
                   1559:       u = *cx;
                   1560:       *cx = dum;
                   1561:       dum = fu;
                   1562:       fu = *fc;
                   1563:       *fc =dum;
1.183     brouard  1564: #endif
1.162     brouard  1565:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  1566: #ifdef DEBUG
                   1567:       printf("mnbrak2  u after c but before ulim\n");
                   1568:       fprintf(ficlog, "mnbrak2 u after c but before ulim\n");
                   1569: #endif
1.126     brouard  1570:       fu=(*func)(u); 
                   1571:       if (fu < *fc) { 
1.183     brouard  1572: #ifdef DEBUG
                   1573:       printf("mnbrak2  u after c but before ulim AND fu < fc\n");
                   1574:       fprintf(ficlog, "mnbrak2 u after c but before ulim AND fu <fc \n");
                   1575: #endif
1.126     brouard  1576:        SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
1.183     brouard  1577:        SHFT(*fb,*fc,fu,(*func)(u)) 
                   1578:       } 
1.162     brouard  1579:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  1580: #ifdef DEBUG
                   1581:       printf("mnbrak2  u outside ulim (verifying that ulim is beyond c)\n");
                   1582:       fprintf(ficlog, "mnbrak2 u outside ulim (verifying that ulim is beyond c)\n");
                   1583: #endif
1.126     brouard  1584:       u=ulim; 
                   1585:       fu=(*func)(u); 
1.183     brouard  1586:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   1587: #ifdef DEBUG
                   1588:       printf("mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
                   1589:       fprintf(ficlog, "mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
                   1590: #endif
1.126     brouard  1591:       u=(*cx)+GOLD*(*cx-*bx); 
                   1592:       fu=(*func)(u); 
1.183     brouard  1593:     } /* end tests */
1.126     brouard  1594:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  1595:     SHFT(*fa,*fb,*fc,fu) 
                   1596: #ifdef DEBUG
                   1597:       printf("mnbrak2 (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu);
                   1598:       fprintf(ficlog, "mnbrak2 (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu);
                   1599: #endif
                   1600:   } /* 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  1601: } 
                   1602: 
                   1603: /*************** linmin ************************/
1.162     brouard  1604: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   1605: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   1606: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   1607: the value of func at the returned location p . This is actually all accomplished by calling the
                   1608: routines mnbrak and brent .*/
1.126     brouard  1609: int ncom; 
                   1610: double *pcom,*xicom;
                   1611: double (*nrfunc)(double []); 
                   1612:  
                   1613: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
                   1614: { 
                   1615:   double brent(double ax, double bx, double cx, 
                   1616:               double (*f)(double), double tol, double *xmin); 
                   1617:   double f1dim(double x); 
                   1618:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   1619:              double *fc, double (*func)(double)); 
                   1620:   int j; 
                   1621:   double xx,xmin,bx,ax; 
                   1622:   double fx,fb,fa;
1.187     brouard  1623: 
1.203     brouard  1624: #ifdef LINMINORIGINAL
                   1625: #else
                   1626:   double scale=10., axs, xxs; /* Scale added for infinity */
                   1627: #endif
                   1628:   
1.126     brouard  1629:   ncom=n; 
                   1630:   pcom=vector(1,n); 
                   1631:   xicom=vector(1,n); 
                   1632:   nrfunc=func; 
                   1633:   for (j=1;j<=n;j++) { 
                   1634:     pcom[j]=p[j]; 
1.202     brouard  1635:     xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
1.126     brouard  1636:   } 
1.187     brouard  1637: 
1.203     brouard  1638: #ifdef LINMINORIGINAL
                   1639:   xx=1.;
                   1640: #else
                   1641:   axs=0.0;
                   1642:   xxs=1.;
                   1643:   do{
                   1644:     xx= xxs;
                   1645: #endif
1.187     brouard  1646:     ax=0.;
                   1647:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   1648:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   1649:     /* 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))   */
                   1650:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   1651:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   1652:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   1653:     /* 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  1654: #ifdef LINMINORIGINAL
                   1655: #else
                   1656:     if (fx != fx){
                   1657:        xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                   1658:        printf("|");
                   1659:        fprintf(ficlog,"|");
                   1660: #ifdef DEBUGLINMIN
                   1661:        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);
                   1662: #endif
                   1663:     }
                   1664:   }while(fx != fx);
                   1665: #endif
                   1666:   
1.191     brouard  1667: #ifdef DEBUGLINMIN
                   1668:   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  1669:   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  1670: #endif
1.187     brouard  1671:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   1672:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   1673:   /* fmin = f(p[j] + xmin * xi[j]) */
                   1674:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   1675:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  1676: #ifdef DEBUG
                   1677:   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
                   1678:   fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
                   1679: #endif
1.191     brouard  1680: #ifdef DEBUGLINMIN
                   1681:   printf("linmin end ");
1.202     brouard  1682:   fprintf(ficlog,"linmin end ");
1.191     brouard  1683: #endif
1.126     brouard  1684:   for (j=1;j<=n;j++) { 
1.203     brouard  1685: #ifdef LINMINORIGINAL
                   1686:     xi[j] *= xmin; 
                   1687: #else
                   1688: #ifdef DEBUGLINMIN
                   1689:     if(xxs <1.0)
                   1690:       printf(" before xi[%d]=%12.8f", j,xi[j]);
                   1691: #endif
                   1692:     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) */
                   1693: #ifdef DEBUGLINMIN
                   1694:     if(xxs <1.0)
                   1695:       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 );
                   1696: #endif
                   1697: #endif
1.187     brouard  1698:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  1699:   } 
1.191     brouard  1700: #ifdef DEBUGLINMIN
1.203     brouard  1701:   printf("\n");
1.191     brouard  1702:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
1.202     brouard  1703:   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  1704:   for (j=1;j<=n;j++) { 
1.202     brouard  1705:     printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1706:     fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1707:     if(j % ncovmodel == 0){
1.191     brouard  1708:       printf("\n");
1.202     brouard  1709:       fprintf(ficlog,"\n");
                   1710:     }
1.191     brouard  1711:   }
1.203     brouard  1712: #else
1.191     brouard  1713: #endif
1.126     brouard  1714:   free_vector(xicom,1,n); 
                   1715:   free_vector(pcom,1,n); 
                   1716: } 
                   1717: 
                   1718: 
                   1719: /*************** powell ************************/
1.162     brouard  1720: /*
                   1721: Minimization of a function func of n variables. Input consists of an initial starting point
                   1722: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
                   1723: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
                   1724: such that failure to decrease by more than this amount on one iteration signals doneness. On
                   1725: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   1726: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   1727:  */
1.126     brouard  1728: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   1729:            double (*func)(double [])) 
                   1730: { 
                   1731:   void linmin(double p[], double xi[], int n, double *fret, 
                   1732:              double (*func)(double [])); 
                   1733:   int i,ibig,j; 
                   1734:   double del,t,*pt,*ptt,*xit;
1.181     brouard  1735:   double directest;
1.126     brouard  1736:   double fp,fptt;
                   1737:   double *xits;
                   1738:   int niterf, itmp;
                   1739: 
                   1740:   pt=vector(1,n); 
                   1741:   ptt=vector(1,n); 
                   1742:   xit=vector(1,n); 
                   1743:   xits=vector(1,n); 
                   1744:   *fret=(*func)(p); 
                   1745:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.202     brouard  1746:   rcurr_time = time(NULL);  
1.126     brouard  1747:   for (*iter=1;;++(*iter)) { 
1.187     brouard  1748:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  1749:     ibig=0; 
                   1750:     del=0.0; 
1.157     brouard  1751:     rlast_time=rcurr_time;
                   1752:     /* (void) gettimeofday(&curr_time,&tzp); */
                   1753:     rcurr_time = time(NULL);  
                   1754:     curr_time = *localtime(&rcurr_time);
                   1755:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   1756:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   1757: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.192     brouard  1758:     for (i=1;i<=n;i++) {
1.126     brouard  1759:       printf(" %d %.12f",i, p[i]);
                   1760:       fprintf(ficlog," %d %.12lf",i, p[i]);
                   1761:       fprintf(ficrespow," %.12lf", p[i]);
                   1762:     }
                   1763:     printf("\n");
                   1764:     fprintf(ficlog,"\n");
                   1765:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   1766:     if(*iter <=3){
1.157     brouard  1767:       tml = *localtime(&rcurr_time);
                   1768:       strcpy(strcurr,asctime(&tml));
                   1769:       rforecast_time=rcurr_time; 
1.126     brouard  1770:       itmp = strlen(strcurr);
                   1771:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
                   1772:        strcurr[itmp-1]='\0';
1.162     brouard  1773:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  1774:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  1775:       for(niterf=10;niterf<=30;niterf+=10){
1.157     brouard  1776:        rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   1777:        forecast_time = *localtime(&rforecast_time);
                   1778:        strcpy(strfor,asctime(&forecast_time));
1.126     brouard  1779:        itmp = strlen(strfor);
                   1780:        if(strfor[itmp-1]=='\n')
                   1781:        strfor[itmp-1]='\0';
1.157     brouard  1782:        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);
                   1783:        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  1784:       }
                   1785:     }
1.187     brouard  1786:     for (i=1;i<=n;i++) { /* For each direction i */
                   1787:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  1788:       fptt=(*fret); 
                   1789: #ifdef DEBUG
1.203     brouard  1790:       printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   1791:       fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  1792: #endif
1.203     brouard  1793:       printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  1794:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.188     brouard  1795:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   1796:                                    /* Outputs are fret(new point p) p is updated and xit rescaled */
                   1797:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
                   1798:        /* because that direction will be replaced unless the gain del is small */
                   1799:        /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   1800:        /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   1801:        /* with the new direction. */
1.126     brouard  1802:        del=fabs(fptt-(*fret)); 
                   1803:        ibig=i; 
                   1804:       } 
                   1805: #ifdef DEBUG
                   1806:       printf("%d %.12e",i,(*fret));
                   1807:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   1808:       for (j=1;j<=n;j++) {
                   1809:        xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   1810:        printf(" x(%d)=%.12e",j,xit[j]);
                   1811:        fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
                   1812:       }
                   1813:       for(j=1;j<=n;j++) {
1.162     brouard  1814:        printf(" p(%d)=%.12e",j,p[j]);
                   1815:        fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  1816:       }
                   1817:       printf("\n");
                   1818:       fprintf(ficlog,"\n");
                   1819: #endif
1.187     brouard  1820:     } /* end loop on each direction i */
                   1821:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  1822:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  1823:     /* New value of last point Pn is not computed, P(n-1) */
1.182     brouard  1824:     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /* Did we reach enough precision? */
1.188     brouard  1825:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   1826:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   1827:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   1828:       /* decreased of more than 3.84  */
                   1829:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   1830:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   1831:       /* By adding 10 parameters more the gain should be 18.31 */
                   1832: 
                   1833:       /* Starting the program with initial values given by a former maximization will simply change */
                   1834:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   1835:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   1836:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  1837: #ifdef DEBUG
                   1838:       int k[2],l;
                   1839:       k[0]=1;
                   1840:       k[1]=-1;
                   1841:       printf("Max: %.12e",(*func)(p));
                   1842:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   1843:       for (j=1;j<=n;j++) {
                   1844:        printf(" %.12e",p[j]);
                   1845:        fprintf(ficlog," %.12e",p[j]);
                   1846:       }
                   1847:       printf("\n");
                   1848:       fprintf(ficlog,"\n");
                   1849:       for(l=0;l<=1;l++) {
                   1850:        for (j=1;j<=n;j++) {
                   1851:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   1852:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   1853:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   1854:        }
                   1855:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   1856:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   1857:       }
                   1858: #endif
                   1859: 
                   1860: 
                   1861:       free_vector(xit,1,n); 
                   1862:       free_vector(xits,1,n); 
                   1863:       free_vector(ptt,1,n); 
                   1864:       free_vector(pt,1,n); 
                   1865:       return; 
1.192     brouard  1866:     } /* enough precision */ 
1.126     brouard  1867:     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  1868:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  1869:       ptt[j]=2.0*p[j]-pt[j]; 
                   1870:       xit[j]=p[j]-pt[j]; 
                   1871:       pt[j]=p[j]; 
                   1872:     } 
1.181     brouard  1873:     fptt=(*func)(ptt); /* f_3 */
1.192     brouard  1874: #ifdef POWELLF1F3
                   1875: #else
1.161     brouard  1876:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.192     brouard  1877: #endif
1.162     brouard  1878:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  1879:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  1880:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   1881:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   1882:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.181     brouard  1883:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del */
1.161     brouard  1884:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.183     brouard  1885: #ifdef NRCORIGINAL
                   1886:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   1887: #else
                   1888:       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  1889:       t= t- del*SQR(fp-fptt);
1.183     brouard  1890: #endif
1.202     brouard  1891:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
1.161     brouard  1892: #ifdef DEBUG
1.181     brouard  1893:       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);
                   1894:       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  1895:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   1896:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   1897:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   1898:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   1899:       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);
                   1900:       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);
                   1901: #endif
1.183     brouard  1902: #ifdef POWELLORIGINAL
                   1903:       if (t < 0.0) { /* Then we use it for new direction */
                   1904: #else
1.182     brouard  1905:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.202     brouard  1906:        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  1907:         printf("f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
1.202     brouard  1908:         fprintf(ficlog,"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  1909:         fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   1910:       } 
1.181     brouard  1911:       if (directest < 0.0) { /* Then we use it for new direction */
                   1912: #endif
1.191     brouard  1913: #ifdef DEBUGLINMIN
                   1914:        printf("Before linmin in direction P%d-P0\n",n);
                   1915:        for (j=1;j<=n;j++) { 
1.202     brouard  1916:          printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   1917:          fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   1918:          if(j % ncovmodel == 0){
1.191     brouard  1919:            printf("\n");
1.202     brouard  1920:            fprintf(ficlog,"\n");
                   1921:          }
1.191     brouard  1922:        }
                   1923: #endif
1.187     brouard  1924:        linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
1.191     brouard  1925: #ifdef DEBUGLINMIN
                   1926:        for (j=1;j<=n;j++) { 
                   1927:          printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
1.202     brouard  1928:          fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   1929:          if(j % ncovmodel == 0){
1.191     brouard  1930:            printf("\n");
1.202     brouard  1931:            fprintf(ficlog,"\n");
                   1932:          }
1.191     brouard  1933:        }
                   1934: #endif
1.126     brouard  1935:        for (j=1;j<=n;j++) { 
1.181     brouard  1936:          xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   1937:          xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
1.126     brouard  1938:        }
1.181     brouard  1939:        printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   1940:        fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
1.161     brouard  1941: 
1.126     brouard  1942: #ifdef DEBUG
1.164     brouard  1943:        printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   1944:        fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
1.126     brouard  1945:        for(j=1;j<=n;j++){
                   1946:          printf(" %.12e",xit[j]);
                   1947:          fprintf(ficlog," %.12e",xit[j]);
                   1948:        }
                   1949:        printf("\n");
                   1950:        fprintf(ficlog,"\n");
                   1951: #endif
1.192     brouard  1952:       } /* end of t or directest negative */
                   1953: #ifdef POWELLF1F3
                   1954: #else
1.162     brouard  1955:     } /* end if (fptt < fp)  */
1.192     brouard  1956: #endif
                   1957:   } /* loop iteration */ 
1.126     brouard  1958: } 
                   1959: 
                   1960: /**** Prevalence limit (stable or period prevalence)  ****************/
                   1961: 
1.203     brouard  1962: double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int *ncvyear, int ij)
1.126     brouard  1963: {
                   1964:   /* Computes the prevalence limit in each live state at age x by left multiplying the unit
1.203     brouard  1965:      matrix by transitions matrix until convergence is reached with precision ftolpl */
1.206     brouard  1966:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   1967:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   1968:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   1969:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   1970:   /* Initial matrix pimij */
                   1971:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   1972:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   1973:   /*  0,                   0                  , 1} */
                   1974:   /*
                   1975:    * and after some iteration: */
                   1976:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   1977:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   1978:   /*  0,                   0                  , 1} */
                   1979:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   1980:   /* {0.51571254859325999, 0.4842874514067399, */
                   1981:   /*  0.51326036147820708, 0.48673963852179264} */
                   1982:   /* If we start from prlim again, prlim tends to a constant matrix */
                   1983: 
1.126     brouard  1984:   int i, ii,j,k;
                   1985:   double min, max, maxmin, maxmax,sumnew=0.;
1.145     brouard  1986:   /* double **matprod2(); */ /* test */
1.131     brouard  1987:   double **out, cov[NCOVMAX+1], **pmij();
1.126     brouard  1988:   double **newm;
1.202     brouard  1989:   double agefin, delaymax=100 ; /* Max number of years to converge */
1.203     brouard  1990:   int ncvloop=0;
1.169     brouard  1991:   
1.126     brouard  1992:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   1993:     for (j=1;j<=nlstate+ndeath;j++){
                   1994:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   1995:     }
1.169     brouard  1996:   
                   1997:   cov[1]=1.;
                   1998:   
                   1999:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.202     brouard  2000:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.126     brouard  2001:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
1.202     brouard  2002:     ncvloop++;
1.126     brouard  2003:     newm=savm;
                   2004:     /* Covariates have to be included here again */
1.138     brouard  2005:     cov[2]=agefin;
1.187     brouard  2006:     if(nagesqr==1)
                   2007:       cov[3]= agefin*agefin;;
1.138     brouard  2008:     for (k=1; k<=cptcovn;k++) {
1.200     brouard  2009:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
                   2010:       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
1.198     brouard  2011:       /* 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  2012:     }
1.186     brouard  2013:     /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200     brouard  2014:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
                   2015:     for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
1.186     brouard  2016:     for (k=1; k<=cptcovprod;k++) /* Useless */
1.200     brouard  2017:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                   2018:       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
1.138     brouard  2019:     
                   2020:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2021:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2022:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  2023:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2024:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.142     brouard  2025:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  2026:     
1.126     brouard  2027:     savm=oldm;
                   2028:     oldm=newm;
                   2029:     maxmax=0.;
                   2030:     for(j=1;j<=nlstate;j++){
                   2031:       min=1.;
                   2032:       max=0.;
                   2033:       for(i=1; i<=nlstate; i++) {
                   2034:        sumnew=0;
                   2035:        for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   2036:        prlim[i][j]= newm[i][j]/(1-sumnew);
                   2037:        max=FMAX(max,prlim[i][j]);
                   2038:        min=FMIN(min,prlim[i][j]);
1.206     brouard  2039:         printf(" age= %d prevalim i=%d, j=%d, prmlim[%d][%d]=%f, agefin=%d max=%f min=%f\n", (int)age, i, j, i, j, prlim[i][j],(int)agefin, max, min);
1.126     brouard  2040:       }
1.203     brouard  2041:       maxmin=(max-min)/(max+min)*2;
1.126     brouard  2042:       maxmax=FMAX(maxmax,maxmin);
1.169     brouard  2043:     } /* j loop */
1.203     brouard  2044:     *ncvyear= (int)age- (int)agefin;
1.207   ! brouard  2045:     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  2046:     if(maxmax < ftolpl){
1.203     brouard  2047:       /* printf("maxmax=%lf maxmin=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, maxmin, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.126     brouard  2048:       return prlim;
                   2049:     }
1.169     brouard  2050:   } /* age loop */
1.203     brouard  2051:   printf("Warning: the stable prevalence at age %d did not converge with the required precision %g > ftolpl=%g. \n\
                   2052: Earliest age to start was %d-%d=%d, ncvloop=%d, ncvyear=%d\n", (int)age, maxmax, ftolpl, (int)age, (int)delaymax, (int)agefin, ncvloop, *ncvyear);
                   2053: /* 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); */
1.169     brouard  2054:   return prlim; /* should not reach here */
1.126     brouard  2055: }
                   2056: 
                   2057: /*************** transition probabilities ***************/ 
                   2058: 
                   2059: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   2060: {
1.138     brouard  2061:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   2062:      computes the probability to be observed in state j being in state i by appying the
                   2063:      model to the ncovmodel covariates (including constant and age).
                   2064:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2065:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2066:      ncth covariate in the global vector x is given by the formula:
                   2067:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2068:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2069:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2070:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   2071:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   2072:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   2073:   */
                   2074:   double s1, lnpijopii;
1.126     brouard  2075:   /*double t34;*/
1.164     brouard  2076:   int i,j, nc, ii, jj;
1.126     brouard  2077: 
                   2078:     for(i=1; i<= nlstate; i++){
                   2079:       for(j=1; j<i;j++){
1.138     brouard  2080:        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2081:          /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   2082:          lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   2083: /*      printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
1.126     brouard  2084:        }
1.138     brouard  2085:        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2086: /*     printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
1.126     brouard  2087:       }
                   2088:       for(j=i+1; j<=nlstate+ndeath;j++){
1.138     brouard  2089:        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2090:          /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   2091:          lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   2092: /*       printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
1.126     brouard  2093:        }
1.138     brouard  2094:        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
1.126     brouard  2095:       }
                   2096:     }
                   2097:     
                   2098:     for(i=1; i<= nlstate; i++){
                   2099:       s1=0;
1.131     brouard  2100:       for(j=1; j<i; j++){
1.138     brouard  2101:        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
1.131     brouard  2102:        /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2103:       }
                   2104:       for(j=i+1; j<=nlstate+ndeath; j++){
1.138     brouard  2105:        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
1.131     brouard  2106:        /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2107:       }
1.138     brouard  2108:       /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
1.126     brouard  2109:       ps[i][i]=1./(s1+1.);
1.138     brouard  2110:       /* Computing other pijs */
1.126     brouard  2111:       for(j=1; j<i; j++)
                   2112:        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2113:       for(j=i+1; j<=nlstate+ndeath; j++)
                   2114:        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2115:       /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2116:     } /* end i */
                   2117:     
                   2118:     for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   2119:       for(jj=1; jj<= nlstate+ndeath; jj++){
                   2120:        ps[ii][jj]=0;
                   2121:        ps[ii][ii]=1;
                   2122:       }
                   2123:     }
                   2124:     
1.145     brouard  2125:     
                   2126:     /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   2127:     /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   2128:     /*         printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   2129:     /*   } */
                   2130:     /*   printf("\n "); */
                   2131:     /* } */
                   2132:     /* printf("\n ");printf("%lf ",cov[2]);*/
                   2133:     /*
1.126     brouard  2134:       for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   2135:       goto end;*/
                   2136:     return ps;
                   2137: }
                   2138: 
                   2139: /**************** Product of 2 matrices ******************/
                   2140: 
1.145     brouard  2141: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  2142: {
                   2143:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   2144:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   2145:   /* in, b, out are matrice of pointers which should have been initialized 
                   2146:      before: only the contents of out is modified. The function returns
                   2147:      a pointer to pointers identical to out */
1.145     brouard  2148:   int i, j, k;
1.126     brouard  2149:   for(i=nrl; i<= nrh; i++)
1.145     brouard  2150:     for(k=ncolol; k<=ncoloh; k++){
                   2151:       out[i][k]=0.;
                   2152:       for(j=ncl; j<=nch; j++)
                   2153:        out[i][k] +=in[i][j]*b[j][k];
                   2154:     }
1.126     brouard  2155:   return out;
                   2156: }
                   2157: 
                   2158: 
                   2159: /************* Higher Matrix Product ***************/
                   2160: 
                   2161: double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
                   2162: {
                   2163:   /* Computes the transition matrix starting at age 'age' over 
                   2164:      'nhstepm*hstepm*stepm' months (i.e. until
                   2165:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   2166:      nhstepm*hstepm matrices. 
                   2167:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   2168:      (typically every 2 years instead of every month which is too big 
                   2169:      for the memory).
                   2170:      Model is determined by parameters x and covariates have to be 
                   2171:      included manually here. 
                   2172: 
                   2173:      */
                   2174: 
                   2175:   int i, j, d, h, k;
1.131     brouard  2176:   double **out, cov[NCOVMAX+1];
1.126     brouard  2177:   double **newm;
1.187     brouard  2178:   double agexact;
1.126     brouard  2179: 
                   2180:   /* Hstepm could be zero and should return the unit matrix */
                   2181:   for (i=1;i<=nlstate+ndeath;i++)
                   2182:     for (j=1;j<=nlstate+ndeath;j++){
                   2183:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   2184:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   2185:     }
                   2186:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2187:   for(h=1; h <=nhstepm; h++){
                   2188:     for(d=1; d <=hstepm; d++){
                   2189:       newm=savm;
                   2190:       /* Covariates have to be included here again */
                   2191:       cov[1]=1.;
1.187     brouard  2192:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
                   2193:       cov[2]=agexact;
                   2194:       if(nagesqr==1)
                   2195:        cov[3]= agexact*agexact;
1.131     brouard  2196:       for (k=1; k<=cptcovn;k++) 
1.200     brouard  2197:        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2198:        /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.186     brouard  2199:       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
                   2200:        /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200     brouard  2201:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2202:        /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
1.145     brouard  2203:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
1.200     brouard  2204:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2205:        /* 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  2206: 
                   2207: 
                   2208:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   2209:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
                   2210:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   2211:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2212:       savm=oldm;
                   2213:       oldm=newm;
                   2214:     }
                   2215:     for(i=1; i<=nlstate+ndeath; i++)
                   2216:       for(j=1;j<=nlstate+ndeath;j++) {
                   2217:        po[i][j][h]=newm[i][j];
1.128     brouard  2218:        /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  2219:       }
1.128     brouard  2220:     /*printf("h=%d ",h);*/
1.126     brouard  2221:   } /* end h */
1.128     brouard  2222: /*     printf("\n H=%d \n",h); */
1.126     brouard  2223:   return po;
                   2224: }
                   2225: 
1.162     brouard  2226: #ifdef NLOPT
                   2227:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   2228:   double fret;
                   2229:   double *xt;
                   2230:   int j;
                   2231:   myfunc_data *d2 = (myfunc_data *) pd;
                   2232: /* xt = (p1-1); */
                   2233:   xt=vector(1,n); 
                   2234:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   2235: 
                   2236:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   2237:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   2238:   printf("Function = %.12lf ",fret);
                   2239:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   2240:   printf("\n");
                   2241:  free_vector(xt,1,n);
                   2242:   return fret;
                   2243: }
                   2244: #endif
1.126     brouard  2245: 
                   2246: /*************** log-likelihood *************/
                   2247: double func( double *x)
                   2248: {
                   2249:   int i, ii, j, k, mi, d, kk;
1.131     brouard  2250:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  2251:   double **out;
                   2252:   double sw; /* Sum of weights */
                   2253:   double lli; /* Individual log likelihood */
                   2254:   int s1, s2;
                   2255:   double bbh, survp;
                   2256:   long ipmx;
1.187     brouard  2257:   double agexact;
1.126     brouard  2258:   /*extern weight */
                   2259:   /* We are differentiating ll according to initial status */
                   2260:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   2261:   /*for(i=1;i<imx;i++) 
                   2262:     printf(" %d\n",s[4][i]);
                   2263:   */
1.162     brouard  2264: 
                   2265:   ++countcallfunc;
                   2266: 
1.126     brouard  2267:   cov[1]=1.;
                   2268: 
                   2269:   for(k=1; k<=nlstate; k++) ll[k]=0.;
                   2270: 
                   2271:   if(mle==1){
                   2272:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.138     brouard  2273:       /* Computes the values of the ncovmodel covariates of the model
                   2274:         depending if the covariates are fixed or variying (age dependent) and stores them in cov[]
                   2275:         Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                   2276:         to be observed in j being in i according to the model.
                   2277:        */
1.145     brouard  2278:       for (k=1; k<=cptcovn;k++){ /* Simple and product covariates without age* products */
1.187     brouard  2279:          cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.145     brouard  2280:       }
1.137     brouard  2281:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
1.138     brouard  2282:         is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
1.137     brouard  2283:         has been calculated etc */
1.126     brouard  2284:       for(mi=1; mi<= wav[i]-1; mi++){
                   2285:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2286:          for (j=1;j<=nlstate+ndeath;j++){
                   2287:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2288:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2289:          }
                   2290:        for(d=0; d<dh[mi][i]; d++){
                   2291:          newm=savm;
1.187     brouard  2292:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2293:          cov[2]=agexact;
                   2294:          if(nagesqr==1)
                   2295:            cov[3]= agexact*agexact;
1.126     brouard  2296:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2297:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
1.126     brouard  2298:          }
                   2299:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2300:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2301:          savm=oldm;
                   2302:          oldm=newm;
                   2303:        } /* end mult */
                   2304:       
                   2305:        /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   2306:        /* But now since version 0.9 we anticipate for bias at large stepm.
                   2307:         * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   2308:         * (in months) between two waves is not a multiple of stepm, we rounded to 
                   2309:         * the nearest (and in case of equal distance, to the lowest) interval but now
                   2310:         * we keep into memory the bias bh[mi][i] and also the previous matrix product
                   2311:         * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                   2312:         * probability in order to take into account the bias as a fraction of the way
                   2313:         * from savm to out if bh is negative or even beyond if bh is positive. bh varies
                   2314:         * -stepm/2 to stepm/2 .
                   2315:         * For stepm=1 the results are the same as for previous versions of Imach.
                   2316:         * For stepm > 1 the results are less biased than in previous versions. 
                   2317:         */
                   2318:        s1=s[mw[mi][i]][i];
                   2319:        s2=s[mw[mi+1][i]][i];
                   2320:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2321:        /* bias bh is positive if real duration
                   2322:         * is higher than the multiple of stepm and negative otherwise.
                   2323:         */
                   2324:        /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
                   2325:        if( s2 > nlstate){ 
                   2326:          /* i.e. if s2 is a death state and if the date of death is known 
                   2327:             then the contribution to the likelihood is the probability to 
                   2328:             die between last step unit time and current  step unit time, 
                   2329:             which is also equal to probability to die before dh 
                   2330:             minus probability to die before dh-stepm . 
                   2331:             In version up to 0.92 likelihood was computed
                   2332:        as if date of death was unknown. Death was treated as any other
                   2333:        health state: the date of the interview describes the actual state
                   2334:        and not the date of a change in health state. The former idea was
                   2335:        to consider that at each interview the state was recorded
                   2336:        (healthy, disable or death) and IMaCh was corrected; but when we
                   2337:        introduced the exact date of death then we should have modified
                   2338:        the contribution of an exact death to the likelihood. This new
                   2339:        contribution is smaller and very dependent of the step unit
                   2340:        stepm. It is no more the probability to die between last interview
                   2341:        and month of death but the probability to survive from last
                   2342:        interview up to one month before death multiplied by the
                   2343:        probability to die within a month. Thanks to Chris
                   2344:        Jackson for correcting this bug.  Former versions increased
                   2345:        mortality artificially. The bad side is that we add another loop
                   2346:        which slows down the processing. The difference can be up to 10%
                   2347:        lower mortality.
                   2348:          */
1.183     brouard  2349:        /* If, at the beginning of the maximization mostly, the
                   2350:           cumulative probability or probability to be dead is
                   2351:           constant (ie = 1) over time d, the difference is equal to
                   2352:           0.  out[s1][3] = savm[s1][3]: probability, being at state
                   2353:           s1 at precedent wave, to be dead a month before current
                   2354:           wave is equal to probability, being at state s1 at
                   2355:           precedent wave, to be dead at mont of the current
                   2356:           wave. Then the observed probability (that this person died)
                   2357:           is null according to current estimated parameter. In fact,
                   2358:           it should be very low but not zero otherwise the log go to
                   2359:           infinity.
                   2360:        */
                   2361: /* #ifdef INFINITYORIGINAL */
                   2362: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   2363: /* #else */
                   2364: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   2365: /*         lli=log(mytinydouble); */
                   2366: /*       else */
                   2367: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   2368: /* #endif */
                   2369:            lli=log(out[s1][s2] - savm[s1][s2]);
1.126     brouard  2370: 
                   2371:        } else if  (s2==-2) {
                   2372:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   2373:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2374:          /*survp += out[s1][j]; */
                   2375:          lli= log(survp);
                   2376:        }
                   2377:        
                   2378:        else if  (s2==-4) { 
                   2379:          for (j=3,survp=0. ; j<=nlstate; j++)  
                   2380:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2381:          lli= log(survp); 
                   2382:        } 
                   2383: 
                   2384:        else if  (s2==-5) { 
                   2385:          for (j=1,survp=0. ; j<=2; j++)  
                   2386:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2387:          lli= log(survp); 
                   2388:        } 
                   2389:        
                   2390:        else{
                   2391:          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2392:          /*  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 */
                   2393:        } 
                   2394:        /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                   2395:        /*if(lli ==000.0)*/
                   2396:        /*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); */
                   2397:        ipmx +=1;
                   2398:        sw += weight[i];
                   2399:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.183     brouard  2400:        /* if (lli < log(mytinydouble)){ */
                   2401:        /*   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); */
                   2402:        /*   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]); */
                   2403:        /* } */
1.126     brouard  2404:       } /* end of wave */
                   2405:     } /* end of individual */
                   2406:   }  else if(mle==2){
                   2407:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2408:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2409:       for(mi=1; mi<= wav[i]-1; mi++){
                   2410:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2411:          for (j=1;j<=nlstate+ndeath;j++){
                   2412:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2413:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2414:          }
                   2415:        for(d=0; d<=dh[mi][i]; d++){
                   2416:          newm=savm;
1.187     brouard  2417:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2418:          cov[2]=agexact;
                   2419:          if(nagesqr==1)
                   2420:            cov[3]= agexact*agexact;
1.126     brouard  2421:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2422:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2423:          }
                   2424:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2425:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2426:          savm=oldm;
                   2427:          oldm=newm;
                   2428:        } /* end mult */
                   2429:       
                   2430:        s1=s[mw[mi][i]][i];
                   2431:        s2=s[mw[mi+1][i]][i];
                   2432:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2433:        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 */
                   2434:        ipmx +=1;
                   2435:        sw += weight[i];
                   2436:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2437:       } /* end of wave */
                   2438:     } /* end of individual */
                   2439:   }  else if(mle==3){  /* exponential inter-extrapolation */
                   2440:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2441:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2442:       for(mi=1; mi<= wav[i]-1; mi++){
                   2443:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2444:          for (j=1;j<=nlstate+ndeath;j++){
                   2445:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2446:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2447:          }
                   2448:        for(d=0; d<dh[mi][i]; d++){
                   2449:          newm=savm;
1.187     brouard  2450:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2451:          cov[2]=agexact;
                   2452:          if(nagesqr==1)
                   2453:            cov[3]= agexact*agexact;
1.126     brouard  2454:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2455:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2456:          }
                   2457:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2458:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2459:          savm=oldm;
                   2460:          oldm=newm;
                   2461:        } /* end mult */
                   2462:       
                   2463:        s1=s[mw[mi][i]][i];
                   2464:        s2=s[mw[mi+1][i]][i];
                   2465:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2466:        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 */
                   2467:        ipmx +=1;
                   2468:        sw += weight[i];
                   2469:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2470:       } /* end of wave */
                   2471:     } /* end of individual */
                   2472:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
                   2473:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2474:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2475:       for(mi=1; mi<= wav[i]-1; mi++){
                   2476:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2477:          for (j=1;j<=nlstate+ndeath;j++){
                   2478:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2479:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2480:          }
                   2481:        for(d=0; d<dh[mi][i]; d++){
                   2482:          newm=savm;
1.187     brouard  2483:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2484:          cov[2]=agexact;
                   2485:          if(nagesqr==1)
                   2486:            cov[3]= agexact*agexact;
1.126     brouard  2487:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2488:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2489:          }
                   2490:        
                   2491:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2492:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2493:          savm=oldm;
                   2494:          oldm=newm;
                   2495:        } /* end mult */
                   2496:       
                   2497:        s1=s[mw[mi][i]][i];
                   2498:        s2=s[mw[mi+1][i]][i];
                   2499:        if( s2 > nlstate){ 
                   2500:          lli=log(out[s1][s2] - savm[s1][s2]);
                   2501:        }else{
                   2502:          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   2503:        }
                   2504:        ipmx +=1;
                   2505:        sw += weight[i];
                   2506:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2507: /*     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]); */
                   2508:       } /* end of wave */
                   2509:     } /* end of individual */
                   2510:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
                   2511:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2512:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2513:       for(mi=1; mi<= wav[i]-1; mi++){
                   2514:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2515:          for (j=1;j<=nlstate+ndeath;j++){
                   2516:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2517:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2518:          }
                   2519:        for(d=0; d<dh[mi][i]; d++){
                   2520:          newm=savm;
1.187     brouard  2521:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2522:          cov[2]=agexact;
                   2523:          if(nagesqr==1)
                   2524:            cov[3]= agexact*agexact;
1.126     brouard  2525:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2526:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2527:          }
                   2528:        
                   2529:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2530:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2531:          savm=oldm;
                   2532:          oldm=newm;
                   2533:        } /* end mult */
                   2534:       
                   2535:        s1=s[mw[mi][i]][i];
                   2536:        s2=s[mw[mi+1][i]][i];
                   2537:        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   2538:        ipmx +=1;
                   2539:        sw += weight[i];
                   2540:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2541:        /*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]);*/
                   2542:       } /* end of wave */
                   2543:     } /* end of individual */
                   2544:   } /* End of if */
                   2545:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   2546:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   2547:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   2548:   return -l;
                   2549: }
                   2550: 
                   2551: /*************** log-likelihood *************/
                   2552: double funcone( double *x)
                   2553: {
                   2554:   /* Same as likeli but slower because of a lot of printf and if */
                   2555:   int i, ii, j, k, mi, d, kk;
1.131     brouard  2556:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  2557:   double **out;
                   2558:   double lli; /* Individual log likelihood */
                   2559:   double llt;
                   2560:   int s1, s2;
                   2561:   double bbh, survp;
1.187     brouard  2562:   double agexact;
1.126     brouard  2563:   /*extern weight */
                   2564:   /* We are differentiating ll according to initial status */
                   2565:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   2566:   /*for(i=1;i<imx;i++) 
                   2567:     printf(" %d\n",s[4][i]);
                   2568:   */
                   2569:   cov[1]=1.;
                   2570: 
                   2571:   for(k=1; k<=nlstate; k++) ll[k]=0.;
                   2572: 
                   2573:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2574:     for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2575:     for(mi=1; mi<= wav[i]-1; mi++){
                   2576:       for (ii=1;ii<=nlstate+ndeath;ii++)
                   2577:        for (j=1;j<=nlstate+ndeath;j++){
                   2578:          oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2579:          savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2580:        }
                   2581:       for(d=0; d<dh[mi][i]; d++){
                   2582:        newm=savm;
1.187     brouard  2583:        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2584:        cov[2]=agexact;
                   2585:        if(nagesqr==1)
                   2586:          cov[3]= agexact*agexact;
1.126     brouard  2587:        for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2588:          cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2589:        }
1.187     brouard  2590: 
1.145     brouard  2591:        /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
1.126     brouard  2592:        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2593:                     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
1.145     brouard  2594:        /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
                   2595:        /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
1.126     brouard  2596:        savm=oldm;
                   2597:        oldm=newm;
                   2598:       } /* end mult */
                   2599:       
                   2600:       s1=s[mw[mi][i]][i];
                   2601:       s2=s[mw[mi+1][i]][i];
                   2602:       bbh=(double)bh[mi][i]/(double)stepm; 
                   2603:       /* bias is positive if real duration
                   2604:        * is higher than the multiple of stepm and negative otherwise.
                   2605:        */
                   2606:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
                   2607:        lli=log(out[s1][s2] - savm[s1][s2]);
                   2608:       } else if  (s2==-2) {
                   2609:        for (j=1,survp=0. ; j<=nlstate; j++) 
                   2610:          survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2611:        lli= log(survp);
                   2612:       }else if (mle==1){
                   2613:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2614:       } else if(mle==2){
                   2615:        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 */
                   2616:       } else if(mle==3){  /* exponential inter-extrapolation */
                   2617:        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 */
                   2618:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
                   2619:        lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  2620:       } else{  /* mle=0 back to 1 */
                   2621:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2622:        /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  2623:       } /* End of if */
                   2624:       ipmx +=1;
                   2625:       sw += weight[i];
                   2626:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  2627:       /*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  2628:       if(globpr){
1.205     brouard  2629:        fprintf(ficresilk,"%9ld %6.1f %6d %2d %2d %2d %2d %3d %11.6f %8.4f %8.3f\
1.126     brouard  2630:  %11.6f %11.6f %11.6f ", \
1.205     brouard  2631:                num[i], agexact, i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],weight[i]*gipmx/gsw,
1.126     brouard  2632:                2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
                   2633:        for(k=1,llt=0.,l=0.; k<=nlstate; k++){
                   2634:          llt +=ll[k]*gipmx/gsw;
                   2635:          fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                   2636:        }
                   2637:        fprintf(ficresilk," %10.6f\n", -llt);
                   2638:       }
                   2639:     } /* end of wave */
                   2640:   } /* end of individual */
                   2641:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   2642:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   2643:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   2644:   if(globpr==0){ /* First time we count the contributions and weights */
                   2645:     gipmx=ipmx;
                   2646:     gsw=sw;
                   2647:   }
                   2648:   return -l;
                   2649: }
                   2650: 
                   2651: 
                   2652: /*************** function likelione ***********/
                   2653: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
                   2654: {
                   2655:   /* This routine should help understanding what is done with 
                   2656:      the selection of individuals/waves and
                   2657:      to check the exact contribution to the likelihood.
                   2658:      Plotting could be done.
                   2659:    */
                   2660:   int k;
                   2661: 
                   2662:   if(*globpri !=0){ /* Just counts and sums, no printings */
1.201     brouard  2663:     strcpy(fileresilk,"ILK_"); 
1.202     brouard  2664:     strcat(fileresilk,fileresu);
1.126     brouard  2665:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   2666:       printf("Problem with resultfile: %s\n", fileresilk);
                   2667:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   2668:     }
1.205     brouard  2669:     fprintf(ficresilk, "#individual(line's_record) count age 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");
1.207   ! brouard  2670:     fprintf(ficresilk, "#num_i age i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav ");
1.126     brouard  2671:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   2672:     for(k=1; k<=nlstate; k++) 
                   2673:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   2674:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   2675:   }
                   2676: 
                   2677:   *fretone=(*funcone)(p);
                   2678:   if(*globpri !=0){
                   2679:     fclose(ficresilk);
1.205     brouard  2680:     if (mle ==0)
                   2681:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
                   2682:     else if(mle >=1)
                   2683:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
                   2684:     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  2685:     
        !          2686:     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  2687: <img src=\"%s-ori.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207   ! brouard  2688:     fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
1.204     brouard  2689: <img src=\"%s-dest.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207   ! brouard  2690:     fflush(fichtm);
1.205     brouard  2691:       
1.207   ! brouard  2692:     for (k=1; k<= nlstate ; k++) {
        !          2693:       fprintf(fichtm,"<br>- Probability p%dj by origin %d and destination j <a href=\"%s-p%dj.png\">%s-p%dj.png</a><br> \
1.204     brouard  2694: <img src=\"%s-p%dj.png\">",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
1.207   ! brouard  2695:     }
1.205     brouard  2696:   }
1.126     brouard  2697:   return;
                   2698: }
                   2699: 
                   2700: 
                   2701: /*********** Maximum Likelihood Estimation ***************/
                   2702: 
                   2703: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   2704: {
1.165     brouard  2705:   int i,j, iter=0;
1.126     brouard  2706:   double **xi;
                   2707:   double fret;
                   2708:   double fretone; /* Only one call to likelihood */
                   2709:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  2710: 
                   2711: #ifdef NLOPT
                   2712:   int creturn;
                   2713:   nlopt_opt opt;
                   2714:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   2715:   double *lb;
                   2716:   double minf; /* the minimum objective value, upon return */
                   2717:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   2718:   myfunc_data dinst, *d = &dinst;
                   2719: #endif
                   2720: 
                   2721: 
1.126     brouard  2722:   xi=matrix(1,npar,1,npar);
                   2723:   for (i=1;i<=npar;i++)
                   2724:     for (j=1;j<=npar;j++)
                   2725:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   2726:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.201     brouard  2727:   strcpy(filerespow,"POW_"); 
1.126     brouard  2728:   strcat(filerespow,fileres);
                   2729:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   2730:     printf("Problem with resultfile: %s\n", filerespow);
                   2731:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   2732:   }
                   2733:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   2734:   for (i=1;i<=nlstate;i++)
                   2735:     for(j=1;j<=nlstate+ndeath;j++)
                   2736:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   2737:   fprintf(ficrespow,"\n");
1.162     brouard  2738: #ifdef POWELL
1.126     brouard  2739:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.162     brouard  2740: #endif
1.126     brouard  2741: 
1.162     brouard  2742: #ifdef NLOPT
                   2743: #ifdef NEWUOA
                   2744:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   2745: #else
                   2746:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   2747: #endif
                   2748:   lb=vector(0,npar-1);
                   2749:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   2750:   nlopt_set_lower_bounds(opt, lb);
                   2751:   nlopt_set_initial_step1(opt, 0.1);
                   2752:   
                   2753:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   2754:   d->function = func;
                   2755:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   2756:   nlopt_set_min_objective(opt, myfunc, d);
                   2757:   nlopt_set_xtol_rel(opt, ftol);
                   2758:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   2759:     printf("nlopt failed! %d\n",creturn); 
                   2760:   }
                   2761:   else {
                   2762:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   2763:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   2764:     iter=1; /* not equal */
                   2765:   }
                   2766:   nlopt_destroy(opt);
                   2767: #endif
1.126     brouard  2768:   free_matrix(xi,1,npar,1,npar);
                   2769:   fclose(ficrespow);
1.203     brouard  2770:   printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   2771:   fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.180     brouard  2772:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  2773: 
                   2774: }
                   2775: 
                   2776: /**** Computes Hessian and covariance matrix ***/
1.203     brouard  2777: void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
1.126     brouard  2778: {
                   2779:   double  **a,**y,*x,pd;
1.203     brouard  2780:   /* double **hess; */
1.164     brouard  2781:   int i, j;
1.126     brouard  2782:   int *indx;
                   2783: 
                   2784:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
1.203     brouard  2785:   double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
1.126     brouard  2786:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   2787:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   2788:   double gompertz(double p[]);
1.203     brouard  2789:   /* hess=matrix(1,npar,1,npar); */
1.126     brouard  2790: 
                   2791:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   2792:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   2793:   for (i=1;i<=npar;i++){
1.203     brouard  2794:     printf("%d-",i);fflush(stdout);
                   2795:     fprintf(ficlog,"%d-",i);fflush(ficlog);
1.126     brouard  2796:    
                   2797:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   2798:     
                   2799:     /*  printf(" %f ",p[i]);
                   2800:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   2801:   }
                   2802:   
                   2803:   for (i=1;i<=npar;i++) {
                   2804:     for (j=1;j<=npar;j++)  {
                   2805:       if (j>i) { 
1.203     brouard  2806:        printf(".%d-%d",i,j);fflush(stdout);
                   2807:        fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
                   2808:        hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
1.126     brouard  2809:        
                   2810:        hess[j][i]=hess[i][j];    
                   2811:        /*printf(" %lf ",hess[i][j]);*/
                   2812:       }
                   2813:     }
                   2814:   }
                   2815:   printf("\n");
                   2816:   fprintf(ficlog,"\n");
                   2817: 
                   2818:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   2819:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   2820:   
                   2821:   a=matrix(1,npar,1,npar);
                   2822:   y=matrix(1,npar,1,npar);
                   2823:   x=vector(1,npar);
                   2824:   indx=ivector(1,npar);
                   2825:   for (i=1;i<=npar;i++)
                   2826:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   2827:   ludcmp(a,npar,indx,&pd);
                   2828: 
                   2829:   for (j=1;j<=npar;j++) {
                   2830:     for (i=1;i<=npar;i++) x[i]=0;
                   2831:     x[j]=1;
                   2832:     lubksb(a,npar,indx,x);
                   2833:     for (i=1;i<=npar;i++){ 
                   2834:       matcov[i][j]=x[i];
                   2835:     }
                   2836:   }
                   2837: 
                   2838:   printf("\n#Hessian matrix#\n");
                   2839:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   2840:   for (i=1;i<=npar;i++) { 
                   2841:     for (j=1;j<=npar;j++) { 
1.203     brouard  2842:       printf("%.6e ",hess[i][j]);
                   2843:       fprintf(ficlog,"%.6e ",hess[i][j]);
1.126     brouard  2844:     }
                   2845:     printf("\n");
                   2846:     fprintf(ficlog,"\n");
                   2847:   }
                   2848: 
1.203     brouard  2849:   /* printf("\n#Covariance matrix#\n"); */
                   2850:   /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
                   2851:   /* for (i=1;i<=npar;i++) {  */
                   2852:   /*   for (j=1;j<=npar;j++) {  */
                   2853:   /*     printf("%.6e ",matcov[i][j]); */
                   2854:   /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
                   2855:   /*   } */
                   2856:   /*   printf("\n"); */
                   2857:   /*   fprintf(ficlog,"\n"); */
                   2858:   /* } */
                   2859: 
1.126     brouard  2860:   /* Recompute Inverse */
1.203     brouard  2861:   /* for (i=1;i<=npar;i++) */
                   2862:   /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
                   2863:   /* ludcmp(a,npar,indx,&pd); */
                   2864: 
                   2865:   /*  printf("\n#Hessian matrix recomputed#\n"); */
                   2866: 
                   2867:   /* for (j=1;j<=npar;j++) { */
                   2868:   /*   for (i=1;i<=npar;i++) x[i]=0; */
                   2869:   /*   x[j]=1; */
                   2870:   /*   lubksb(a,npar,indx,x); */
                   2871:   /*   for (i=1;i<=npar;i++){  */
                   2872:   /*     y[i][j]=x[i]; */
                   2873:   /*     printf("%.3e ",y[i][j]); */
                   2874:   /*     fprintf(ficlog,"%.3e ",y[i][j]); */
                   2875:   /*   } */
                   2876:   /*   printf("\n"); */
                   2877:   /*   fprintf(ficlog,"\n"); */
                   2878:   /* } */
                   2879: 
                   2880:   /* Verifying the inverse matrix */
                   2881: #ifdef DEBUGHESS
                   2882:   y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
1.126     brouard  2883: 
1.203     brouard  2884:    printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
                   2885:    fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
1.126     brouard  2886: 
                   2887:   for (j=1;j<=npar;j++) {
                   2888:     for (i=1;i<=npar;i++){ 
1.203     brouard  2889:       printf("%.2f ",y[i][j]);
                   2890:       fprintf(ficlog,"%.2f ",y[i][j]);
1.126     brouard  2891:     }
                   2892:     printf("\n");
                   2893:     fprintf(ficlog,"\n");
                   2894:   }
1.203     brouard  2895: #endif
1.126     brouard  2896: 
                   2897:   free_matrix(a,1,npar,1,npar);
                   2898:   free_matrix(y,1,npar,1,npar);
                   2899:   free_vector(x,1,npar);
                   2900:   free_ivector(indx,1,npar);
1.203     brouard  2901:   /* free_matrix(hess,1,npar,1,npar); */
1.126     brouard  2902: 
                   2903: 
                   2904: }
                   2905: 
                   2906: /*************** hessian matrix ****************/
                   2907: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
1.203     brouard  2908: { /* Around values of x, computes the function func and returns the scales delti and hessian */
1.126     brouard  2909:   int i;
                   2910:   int l=1, lmax=20;
1.203     brouard  2911:   double k1,k2, res, fx;
1.132     brouard  2912:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  2913:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   2914:   int k=0,kmax=10;
                   2915:   double l1;
                   2916: 
                   2917:   fx=func(x);
                   2918:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  2919:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  2920:     l1=pow(10,l);
                   2921:     delts=delt;
                   2922:     for(k=1 ; k <kmax; k=k+1){
                   2923:       delt = delta*(l1*k);
                   2924:       p2[theta]=x[theta] +delt;
1.145     brouard  2925:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  2926:       p2[theta]=x[theta]-delt;
                   2927:       k2=func(p2)-fx;
                   2928:       /*res= (k1-2.0*fx+k2)/delt/delt; */
1.203     brouard  2929:       res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
1.126     brouard  2930:       
1.203     brouard  2931: #ifdef DEBUGHESSII
1.126     brouard  2932:       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);
                   2933:       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);
                   2934: #endif
                   2935:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   2936:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   2937:        k=kmax;
                   2938:       }
                   2939:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  2940:        k=kmax; l=lmax*10;
1.126     brouard  2941:       }
                   2942:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   2943:        delts=delt;
                   2944:       }
1.203     brouard  2945:     } /* End loop k */
1.126     brouard  2946:   }
                   2947:   delti[theta]=delts;
                   2948:   return res; 
                   2949:   
                   2950: }
                   2951: 
1.203     brouard  2952: double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
1.126     brouard  2953: {
                   2954:   int i;
1.164     brouard  2955:   int l=1, lmax=20;
1.126     brouard  2956:   double k1,k2,k3,k4,res,fx;
1.132     brouard  2957:   double p2[MAXPARM+1];
1.203     brouard  2958:   int k, kmax=1;
                   2959:   double v1, v2, cv12, lc1, lc2;
                   2960:   
1.126     brouard  2961:   fx=func(x);
1.203     brouard  2962:   for (k=1; k<=kmax; k=k+10) {
1.126     brouard  2963:     for (i=1;i<=npar;i++) p2[i]=x[i];
1.203     brouard  2964:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   2965:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  2966:     k1=func(p2)-fx;
                   2967:   
1.203     brouard  2968:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   2969:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  2970:     k2=func(p2)-fx;
                   2971:   
1.203     brouard  2972:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   2973:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  2974:     k3=func(p2)-fx;
                   2975:   
1.203     brouard  2976:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   2977:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  2978:     k4=func(p2)-fx;
1.203     brouard  2979:     res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */
                   2980:     if(k1*k2*k3*k4 <0.){
                   2981:       kmax=kmax+10;
                   2982:       if(kmax >=10){
                   2983:       printf("Warning: directions %d-%d, you are not estimating the Hessian at the exact maximum likelihood; increase ftol=%.2e\n",thetai,thetaj, ftol);
                   2984:       fprintf(ficlog,"Warning: directions %d-%d, you are not estimating the Hessian at the exact maximum likelihood; increase ftol=%.2e\n",thetai,thetaj, ftol);
                   2985:       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);
                   2986:       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);
                   2987:       }
                   2988:     }
                   2989: #ifdef DEBUGHESSIJ
                   2990:     v1=hess[thetai][thetai];
                   2991:     v2=hess[thetaj][thetaj];
                   2992:     cv12=res;
                   2993:     /* Computing eigen value of Hessian matrix */
                   2994:     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   2995:     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   2996:     if ((lc2 <0) || (lc1 <0) ){
                   2997:       printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   2998:       fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   2999:       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);
                   3000:       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);
                   3001:     }
1.126     brouard  3002: #endif
                   3003:   }
                   3004:   return res;
                   3005: }
                   3006: 
1.203     brouard  3007:     /* Not done yet: Was supposed to fix if not exactly at the maximum */
                   3008: /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
                   3009: /* { */
                   3010: /*   int i; */
                   3011: /*   int l=1, lmax=20; */
                   3012: /*   double k1,k2,k3,k4,res,fx; */
                   3013: /*   double p2[MAXPARM+1]; */
                   3014: /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
                   3015: /*   int k=0,kmax=10; */
                   3016: /*   double l1; */
                   3017:   
                   3018: /*   fx=func(x); */
                   3019: /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
                   3020: /*     l1=pow(10,l); */
                   3021: /*     delts=delt; */
                   3022: /*     for(k=1 ; k <kmax; k=k+1){ */
                   3023: /*       delt = delti*(l1*k); */
                   3024: /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
                   3025: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   3026: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   3027: /*       k1=func(p2)-fx; */
                   3028:       
                   3029: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   3030: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   3031: /*       k2=func(p2)-fx; */
                   3032:       
                   3033: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   3034: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   3035: /*       k3=func(p2)-fx; */
                   3036:       
                   3037: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   3038: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   3039: /*       k4=func(p2)-fx; */
                   3040: /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
                   3041: /* #ifdef DEBUGHESSIJ */
                   3042: /*       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); */
                   3043: /*       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); */
                   3044: /* #endif */
                   3045: /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
                   3046: /*     k=kmax; */
                   3047: /*       } */
                   3048: /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
                   3049: /*     k=kmax; l=lmax*10; */
                   3050: /*       } */
                   3051: /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
                   3052: /*     delts=delt; */
                   3053: /*       } */
                   3054: /*     } /\* End loop k *\/ */
                   3055: /*   } */
                   3056: /*   delti[theta]=delts; */
                   3057: /*   return res;  */
                   3058: /* } */
                   3059: 
                   3060: 
1.126     brouard  3061: /************** Inverse of matrix **************/
                   3062: void ludcmp(double **a, int n, int *indx, double *d) 
                   3063: { 
                   3064:   int i,imax,j,k; 
                   3065:   double big,dum,sum,temp; 
                   3066:   double *vv; 
                   3067:  
                   3068:   vv=vector(1,n); 
                   3069:   *d=1.0; 
                   3070:   for (i=1;i<=n;i++) { 
                   3071:     big=0.0; 
                   3072:     for (j=1;j<=n;j++) 
                   3073:       if ((temp=fabs(a[i][j])) > big) big=temp; 
                   3074:     if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
                   3075:     vv[i]=1.0/big; 
                   3076:   } 
                   3077:   for (j=1;j<=n;j++) { 
                   3078:     for (i=1;i<j;i++) { 
                   3079:       sum=a[i][j]; 
                   3080:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   3081:       a[i][j]=sum; 
                   3082:     } 
                   3083:     big=0.0; 
                   3084:     for (i=j;i<=n;i++) { 
                   3085:       sum=a[i][j]; 
                   3086:       for (k=1;k<j;k++) 
                   3087:        sum -= a[i][k]*a[k][j]; 
                   3088:       a[i][j]=sum; 
                   3089:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   3090:        big=dum; 
                   3091:        imax=i; 
                   3092:       } 
                   3093:     } 
                   3094:     if (j != imax) { 
                   3095:       for (k=1;k<=n;k++) { 
                   3096:        dum=a[imax][k]; 
                   3097:        a[imax][k]=a[j][k]; 
                   3098:        a[j][k]=dum; 
                   3099:       } 
                   3100:       *d = -(*d); 
                   3101:       vv[imax]=vv[j]; 
                   3102:     } 
                   3103:     indx[j]=imax; 
                   3104:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   3105:     if (j != n) { 
                   3106:       dum=1.0/(a[j][j]); 
                   3107:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   3108:     } 
                   3109:   } 
                   3110:   free_vector(vv,1,n);  /* Doesn't work */
                   3111: ;
                   3112: } 
                   3113: 
                   3114: void lubksb(double **a, int n, int *indx, double b[]) 
                   3115: { 
                   3116:   int i,ii=0,ip,j; 
                   3117:   double sum; 
                   3118:  
                   3119:   for (i=1;i<=n;i++) { 
                   3120:     ip=indx[i]; 
                   3121:     sum=b[ip]; 
                   3122:     b[ip]=b[i]; 
                   3123:     if (ii) 
                   3124:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   3125:     else if (sum) ii=i; 
                   3126:     b[i]=sum; 
                   3127:   } 
                   3128:   for (i=n;i>=1;i--) { 
                   3129:     sum=b[i]; 
                   3130:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   3131:     b[i]=sum/a[i][i]; 
                   3132:   } 
                   3133: } 
                   3134: 
                   3135: void pstamp(FILE *fichier)
                   3136: {
1.196     brouard  3137:   fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
1.126     brouard  3138: }
                   3139: 
                   3140: /************ Frequencies ********************/
                   3141: void  freqsummary(char fileres[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, int *Tvaraff, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[])
                   3142: {  /* Some frequencies */
                   3143:   
1.164     brouard  3144:   int i, m, jk, j1, bool, z1,j;
1.126     brouard  3145:   int first;
                   3146:   double ***freq; /* Frequencies */
                   3147:   double *pp, **prop;
                   3148:   double pos,posprop, k2, dateintsum=0,k2cpt=0;
                   3149:   char fileresp[FILENAMELENGTH];
                   3150:   
                   3151:   pp=vector(1,nlstate);
                   3152:   prop=matrix(1,nlstate,iagemin,iagemax+3);
1.201     brouard  3153:   strcpy(fileresp,"P_");
                   3154:   strcat(fileresp,fileresu);
1.126     brouard  3155:   if((ficresp=fopen(fileresp,"w"))==NULL) {
                   3156:     printf("Problem with prevalence resultfile: %s\n", fileresp);
                   3157:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
                   3158:     exit(0);
                   3159:   }
                   3160:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin,iagemax+3);
                   3161:   j1=0;
                   3162:   
                   3163:   j=cptcoveff;
                   3164:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
                   3165: 
                   3166:   first=1;
                   3167: 
1.169     brouard  3168:   /* for(k1=1; k1<=j ; k1++){ */  /* Loop on covariates */
                   3169:   /*  for(i1=1; i1<=ncodemax[k1];i1++){ */ /* Now it is 2 */
                   3170:   /*    j1++; */
1.145     brouard  3171:   for (j1 = 1; j1 <= (int) pow(2,cptcoveff); j1++){
1.126     brouard  3172:       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
                   3173:        scanf("%d", i);*/
                   3174:       for (i=-5; i<=nlstate+ndeath; i++)  
                   3175:        for (jk=-5; jk<=nlstate+ndeath; jk++)  
                   3176:          for(m=iagemin; m <= iagemax+3; m++)
                   3177:            freq[i][jk][m]=0;
1.143     brouard  3178:       
                   3179:       for (i=1; i<=nlstate; i++)  
                   3180:        for(m=iagemin; m <= iagemax+3; m++)
                   3181:          prop[i][m]=0;
1.126     brouard  3182:       
                   3183:       dateintsum=0;
                   3184:       k2cpt=0;
                   3185:       for (i=1; i<=imx; i++) {
                   3186:        bool=1;
1.144     brouard  3187:        if  (cptcovn>0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
                   3188:          for (z1=1; z1<=cptcoveff; z1++)       
1.198     brouard  3189:             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){
1.145     brouard  3190:                 /* Tests if the value of each of the covariates of i is equal to filter j1 */
1.144     brouard  3191:               bool=0;
1.198     brouard  3192:               /* 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", 
                   3193:                 bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
                   3194:                 j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
                   3195:               /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
1.144     brouard  3196:             } 
1.126     brouard  3197:        }
1.144     brouard  3198:  
1.126     brouard  3199:        if (bool==1){
                   3200:          for(m=firstpass; m<=lastpass; m++){
                   3201:            k2=anint[m][i]+(mint[m][i]/12.);
                   3202:            /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   3203:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   3204:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
                   3205:              if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
                   3206:              if (m<lastpass) {
                   3207:                freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
                   3208:                freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];
                   3209:              }
                   3210:              
                   3211:              if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {
                   3212:                dateintsum=dateintsum+k2;
                   3213:                k2cpt++;
                   3214:              }
                   3215:              /*}*/
                   3216:          }
                   3217:        }
1.145     brouard  3218:       } /* end i */
1.126     brouard  3219:        
                   3220:       /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
                   3221:       pstamp(ficresp);
                   3222:       if  (cptcovn>0) {
                   3223:        fprintf(ficresp, "\n#********** Variable "); 
1.198     brouard  3224:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  3225:        fprintf(ficresp, "**********\n#");
1.143     brouard  3226:        fprintf(ficlog, "\n#********** Variable "); 
1.198     brouard  3227:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.143     brouard  3228:        fprintf(ficlog, "**********\n#");
1.126     brouard  3229:       }
                   3230:       for(i=1; i<=nlstate;i++) 
                   3231:        fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
                   3232:       fprintf(ficresp, "\n");
                   3233:       
                   3234:       for(i=iagemin; i <= iagemax+3; i++){
                   3235:        if(i==iagemax+3){
                   3236:          fprintf(ficlog,"Total");
                   3237:        }else{
                   3238:          if(first==1){
                   3239:            first=0;
                   3240:            printf("See log file for details...\n");
                   3241:          }
                   3242:          fprintf(ficlog,"Age %d", i);
                   3243:        }
                   3244:        for(jk=1; jk <=nlstate ; jk++){
                   3245:          for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
                   3246:            pp[jk] += freq[jk][m][i]; 
                   3247:        }
                   3248:        for(jk=1; jk <=nlstate ; jk++){
                   3249:          for(m=-1, pos=0; m <=0 ; m++)
                   3250:            pos += freq[jk][m][i];
                   3251:          if(pp[jk]>=1.e-10){
                   3252:            if(first==1){
1.132     brouard  3253:              printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
1.126     brouard  3254:            }
                   3255:            fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
                   3256:          }else{
                   3257:            if(first==1)
                   3258:              printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   3259:            fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   3260:          }
                   3261:        }
                   3262: 
                   3263:        for(jk=1; jk <=nlstate ; jk++){
                   3264:          for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
                   3265:            pp[jk] += freq[jk][m][i];
                   3266:        }       
                   3267:        for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
                   3268:          pos += pp[jk];
                   3269:          posprop += prop[jk][i];
                   3270:        }
                   3271:        for(jk=1; jk <=nlstate ; jk++){
                   3272:          if(pos>=1.e-5){
                   3273:            if(first==1)
                   3274:              printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   3275:            fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   3276:          }else{
                   3277:            if(first==1)
                   3278:              printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   3279:            fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   3280:          }
                   3281:          if( i <= iagemax){
                   3282:            if(pos>=1.e-5){
                   3283:              fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
                   3284:              /*probs[i][jk][j1]= pp[jk]/pos;*/
                   3285:              /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
                   3286:            }
                   3287:            else
                   3288:              fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
                   3289:          }
                   3290:        }
                   3291:        
                   3292:        for(jk=-1; jk <=nlstate+ndeath; jk++)
                   3293:          for(m=-1; m <=nlstate+ndeath; m++)
                   3294:            if(freq[jk][m][i] !=0 ) {
                   3295:            if(first==1)
                   3296:              printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
                   3297:              fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
                   3298:            }
                   3299:        if(i <= iagemax)
                   3300:          fprintf(ficresp,"\n");
                   3301:        if(first==1)
                   3302:          printf("Others in log...\n");
                   3303:        fprintf(ficlog,"\n");
                   3304:       }
1.145     brouard  3305:       /*}*/
1.126     brouard  3306:   }
                   3307:   dateintmean=dateintsum/k2cpt; 
                   3308:  
                   3309:   fclose(ficresp);
                   3310:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin, iagemax+3);
                   3311:   free_vector(pp,1,nlstate);
                   3312:   free_matrix(prop,1,nlstate,iagemin, iagemax+3);
                   3313:   /* End of Freq */
                   3314: }
                   3315: 
                   3316: /************ Prevalence ********************/
                   3317: 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)
                   3318: {  
                   3319:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   3320:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   3321:      We still use firstpass and lastpass as another selection.
                   3322:   */
                   3323:  
1.164     brouard  3324:   int i, m, jk, j1, bool, z1,j;
                   3325: 
                   3326:   double **prop;
                   3327:   double posprop; 
1.126     brouard  3328:   double  y2; /* in fractional years */
                   3329:   int iagemin, iagemax;
1.145     brouard  3330:   int first; /** to stop verbosity which is redirected to log file */
1.126     brouard  3331: 
                   3332:   iagemin= (int) agemin;
                   3333:   iagemax= (int) agemax;
                   3334:   /*pp=vector(1,nlstate);*/
                   3335:   prop=matrix(1,nlstate,iagemin,iagemax+3); 
                   3336:   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   3337:   j1=0;
                   3338:   
1.145     brouard  3339:   /*j=cptcoveff;*/
1.126     brouard  3340:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
                   3341:   
1.145     brouard  3342:   first=1;
                   3343:   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){
                   3344:     /*for(i1=1; i1<=ncodemax[k1];i1++){
                   3345:       j1++;*/
1.126     brouard  3346:       
                   3347:       for (i=1; i<=nlstate; i++)  
                   3348:        for(m=iagemin; m <= iagemax+3; m++)
                   3349:          prop[i][m]=0.0;
                   3350:      
                   3351:       for (i=1; i<=imx; i++) { /* Each individual */
                   3352:        bool=1;
                   3353:        if  (cptcovn>0) {
                   3354:          for (z1=1; z1<=cptcoveff; z1++) 
1.198     brouard  3355:            if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) 
1.126     brouard  3356:              bool=0;
                   3357:        } 
                   3358:        if (bool==1) { 
                   3359:          for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
                   3360:            y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                   3361:            if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                   3362:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   3363:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
                   3364:              if((int)agev[m][i] <iagemin || (int)agev[m][i] >iagemax+3) printf("Error on individual =%d agev[m][i]=%f m=%d\n",i, agev[m][i],m); 
                   3365:              if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   3366:                /*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]]);*/
                   3367:                prop[s[m][i]][(int)agev[m][i]] += weight[i];
                   3368:                prop[s[m][i]][iagemax+3] += weight[i]; 
                   3369:              } 
                   3370:            }
                   3371:          } /* end selection of waves */
                   3372:        }
                   3373:       }
                   3374:       for(i=iagemin; i <= iagemax+3; i++){  
                   3375:        for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
                   3376:          posprop += prop[jk][i]; 
                   3377:        } 
1.145     brouard  3378:        
1.126     brouard  3379:        for(jk=1; jk <=nlstate ; jk++){     
                   3380:          if( i <=  iagemax){ 
                   3381:            if(posprop>=1.e-5){ 
                   3382:              probs[i][jk][j1]= prop[jk][i]/posprop;
1.145     brouard  3383:            } else{
                   3384:              if(first==1){
                   3385:                first=0;
                   3386:                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]);
                   3387:              }
                   3388:            }
1.126     brouard  3389:          } 
                   3390:        }/* end jk */ 
                   3391:       }/* end i */ 
1.145     brouard  3392:     /*} *//* end i1 */
                   3393:   } /* end j1 */
1.126     brouard  3394:   
                   3395:   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   3396:   /*free_vector(pp,1,nlstate);*/
                   3397:   free_matrix(prop,1,nlstate, iagemin,iagemax+3);
                   3398: }  /* End of prevalence */
                   3399: 
                   3400: /************* Waves Concatenation ***************/
                   3401: 
                   3402: 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)
                   3403: {
                   3404:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   3405:      Death is a valid wave (if date is known).
                   3406:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   3407:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   3408:      and mw[mi+1][i]. dh depends on stepm.
                   3409:      */
                   3410: 
                   3411:   int i, mi, m;
                   3412:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   3413:      double sum=0., jmean=0.;*/
                   3414:   int first;
                   3415:   int j, k=0,jk, ju, jl;
                   3416:   double sum=0.;
                   3417:   first=0;
1.164     brouard  3418:   jmin=100000;
1.126     brouard  3419:   jmax=-1;
                   3420:   jmean=0.;
                   3421:   for(i=1; i<=imx; i++){
                   3422:     mi=0;
                   3423:     m=firstpass;
                   3424:     while(s[m][i] <= nlstate){
                   3425:       if(s[m][i]>=1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5)
                   3426:        mw[++mi][i]=m;
                   3427:       if(m >=lastpass)
                   3428:        break;
                   3429:       else
                   3430:        m++;
                   3431:     }/* end while */
                   3432:     if (s[m][i] > nlstate){
                   3433:       mi++;    /* Death is another wave */
                   3434:       /* if(mi==0)  never been interviewed correctly before death */
                   3435:         /* Only death is a correct wave */
                   3436:       mw[mi][i]=m;
                   3437:     }
                   3438: 
                   3439:     wav[i]=mi;
                   3440:     if(mi==0){
                   3441:       nbwarn++;
                   3442:       if(first==0){
                   3443:        printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   3444:        first=1;
                   3445:       }
                   3446:       if(first==1){
                   3447:        fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
                   3448:       }
                   3449:     } /* end mi==0 */
                   3450:   } /* End individuals */
                   3451: 
                   3452:   for(i=1; i<=imx; i++){
                   3453:     for(mi=1; mi<wav[i];mi++){
                   3454:       if (stepm <=0)
                   3455:        dh[mi][i]=1;
                   3456:       else{
                   3457:        if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
                   3458:          if (agedc[i] < 2*AGESUP) {
                   3459:            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   3460:            if(j==0) j=1;  /* Survives at least one month after exam */
                   3461:            else if(j<0){
                   3462:              nberr++;
                   3463:              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]);
                   3464:              j=1; /* Temporary Dangerous patch */
                   3465:              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);
                   3466:              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]);
                   3467:              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);
                   3468:            }
                   3469:            k=k+1;
                   3470:            if (j >= jmax){
                   3471:              jmax=j;
                   3472:              ijmax=i;
                   3473:            }
                   3474:            if (j <= jmin){
                   3475:              jmin=j;
                   3476:              ijmin=i;
                   3477:            }
                   3478:            sum=sum+j;
                   3479:            /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   3480:            /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   3481:          }
                   3482:        }
                   3483:        else{
                   3484:          j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
                   3485: /*       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]); */
                   3486: 
                   3487:          k=k+1;
                   3488:          if (j >= jmax) {
                   3489:            jmax=j;
                   3490:            ijmax=i;
                   3491:          }
                   3492:          else if (j <= jmin){
                   3493:            jmin=j;
                   3494:            ijmin=i;
                   3495:          }
                   3496:          /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   3497:          /*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]);*/
                   3498:          if(j<0){
                   3499:            nberr++;
                   3500:            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]);
                   3501:            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]);
                   3502:          }
                   3503:          sum=sum+j;
                   3504:        }
                   3505:        jk= j/stepm;
                   3506:        jl= j -jk*stepm;
                   3507:        ju= j -(jk+1)*stepm;
                   3508:        if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   3509:          if(jl==0){
                   3510:            dh[mi][i]=jk;
                   3511:            bh[mi][i]=0;
                   3512:          }else{ /* We want a negative bias in order to only have interpolation ie
1.136     brouard  3513:                  * to avoid the price of an extra matrix product in likelihood */
1.126     brouard  3514:            dh[mi][i]=jk+1;
                   3515:            bh[mi][i]=ju;
                   3516:          }
                   3517:        }else{
                   3518:          if(jl <= -ju){
                   3519:            dh[mi][i]=jk;
                   3520:            bh[mi][i]=jl;       /* bias is positive if real duration
                   3521:                                 * is higher than the multiple of stepm and negative otherwise.
                   3522:                                 */
                   3523:          }
                   3524:          else{
                   3525:            dh[mi][i]=jk+1;
                   3526:            bh[mi][i]=ju;
                   3527:          }
                   3528:          if(dh[mi][i]==0){
                   3529:            dh[mi][i]=1; /* At least one step */
                   3530:            bh[mi][i]=ju; /* At least one step */
                   3531:            /*  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);*/
                   3532:          }
                   3533:        } /* end if mle */
                   3534:       }
                   3535:     } /* end wave */
                   3536:   }
                   3537:   jmean=sum/k;
                   3538:   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  3539:   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  3540:  }
                   3541: 
                   3542: /*********** Tricode ****************************/
1.145     brouard  3543: void tricode(int *Tvar, int **nbcode, int imx, int *Ndum)
1.126     brouard  3544: {
1.144     brouard  3545:   /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   3546:   /*     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  3547:    * Boring subroutine which should only output nbcode[Tvar[j]][k]
1.145     brouard  3548:    * Tvar[5] in V2+V1+V3*age+V2*V4 is 2 (V2)
1.169     brouard  3549:    * nbcode[Tvar[j]][1]= 
1.144     brouard  3550:   */
1.130     brouard  3551: 
1.145     brouard  3552:   int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
1.136     brouard  3553:   int modmaxcovj=0; /* Modality max of covariates j */
1.145     brouard  3554:   int cptcode=0; /* Modality max of covariates j */
                   3555:   int modmincovj=0; /* Modality min of covariates j */
                   3556: 
                   3557: 
1.126     brouard  3558:   cptcoveff=0; 
                   3559:  
1.144     brouard  3560:   for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.126     brouard  3561: 
1.145     brouard  3562:   /* Loop on covariates without age and products */
1.186     brouard  3563:   for (j=1; j<=(cptcovs); j++) { /* From model V1 + V2*age+ V3 + V3*V4 keeps V1 + V3 = 2 only */
1.192     brouard  3564:     for (k=-1; k < maxncov; k++) Ndum[k]=0;
1.186     brouard  3565:     for (i=1; i<=imx; i++) { /* Loop on individuals: reads the data file to get the maximum value of the 
1.136     brouard  3566:                               modality of this covariate Vj*/ 
1.145     brouard  3567:       ij=(int)(covar[Tvar[j]][i]); /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                   3568:                                    * If product of Vn*Vm, still boolean *:
                   3569:                                    * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                   3570:                                    * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
                   3571:       /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
1.136     brouard  3572:                                      modality of the nth covariate of individual i. */
1.145     brouard  3573:       if (ij > modmaxcovj)
                   3574:         modmaxcovj=ij; 
                   3575:       else if (ij < modmincovj) 
                   3576:        modmincovj=ij; 
                   3577:       if ((ij < -1) && (ij > NCOVMAX)){
                   3578:        printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
                   3579:        exit(1);
                   3580:       }else
1.136     brouard  3581:       Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
1.145     brouard  3582:       /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
1.126     brouard  3583:       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
1.136     brouard  3584:       /* getting the maximum value of the modality of the covariate
                   3585:         (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
                   3586:         female is 1, then modmaxcovj=1.*/
1.192     brouard  3587:     } /* end for loop on individuals i */
1.145     brouard  3588:     printf(" Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
1.192     brouard  3589:     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  3590:     cptcode=modmaxcovj;
1.137     brouard  3591:     /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
1.145     brouard  3592:    /*for (i=0; i<=cptcode; i++) {*/
1.192     brouard  3593:     for (k=modmincovj;  k<=modmaxcovj; k++) { /* k=-1 ? 0 and 1*//* For each value k of the modality of model-cov j */
                   3594:       printf("Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
                   3595:       fprintf(ficlog, "Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
                   3596:       if( Ndum[k] != 0 ){ /* Counts if nobody answered modality k ie empty modality, we skip it and reorder */
                   3597:        if( k != -1){
                   3598:          ncodemax[j]++;  /* ncodemax[j]= Number of modalities of the j th
                   3599:                             covariate for which somebody answered excluding 
                   3600:                             undefined. Usually 2: 0 and 1. */
                   3601:        }
                   3602:        ncodemaxwundef[j]++; /* ncodemax[j]= Number of modalities of the j th
                   3603:                             covariate for which somebody answered including 
                   3604:                             undefined. Usually 3: -1, 0 and 1. */
1.145     brouard  3605:       }
                   3606:       /* In fact  ncodemax[j]=2 (dichotom. variables only) but it could be more for
                   3607:         historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
1.131     brouard  3608:     } /* Ndum[-1] number of undefined modalities */
1.126     brouard  3609: 
1.136     brouard  3610:     /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
1.186     brouard  3611:     /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. 
                   3612:        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  3613:        modmincovj=3; modmaxcovj = 7;
1.186     brouard  3614:        There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3;
                   3615:        which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10;
                   3616:        defining two dummy variables: variables V1_1 and V1_2.
1.145     brouard  3617:        nbcode[Tvar[j]][ij]=k;
                   3618:        nbcode[Tvar[j]][1]=0;
                   3619:        nbcode[Tvar[j]][2]=1;
                   3620:        nbcode[Tvar[j]][3]=2;
1.197     brouard  3621:        To be continued (not working yet).
1.145     brouard  3622:     */
1.197     brouard  3623:     ij=0; /* ij is similar to i but can jump over null modalities */
                   3624:     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*/
                   3625:        if (Ndum[i] == 0) { /* If nobody responded to this modality k */
1.192     brouard  3626:          break;
                   3627:        }
                   3628:        ij++;
1.197     brouard  3629:        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.*/
1.192     brouard  3630:        cptcode = ij; /* New max modality for covar j */
                   3631:     } /* end of loop on modality i=-1 to 1 or more */
                   3632:       
                   3633:     /*   for (k=0; k<= cptcode; k++) { /\* k=-1 ? k=0 to 1 *\//\* Could be 1 to 4 *\//\* cptcode=modmaxcovj *\/ */
                   3634:     /*         /\*recode from 0 *\/ */
                   3635:     /*                                      k is a modality. If we have model=V1+V1*sex  */
                   3636:     /*                                      then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
                   3637:     /*                                   But if some modality were not used, it is recoded from 0 to a newer modmaxcovj=cptcode *\/ */
                   3638:     /*         } */
                   3639:     /*         /\* cptcode = ij; *\/ /\* New max modality for covar j *\/ */
                   3640:     /*         if (ij > ncodemax[j]) { */
                   3641:     /*           printf( " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]);  */
                   3642:     /*           fprintf(ficlog, " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]); */
                   3643:     /*           break; */
                   3644:     /*         } */
                   3645:     /*   }  /\* end of loop on modality k *\/ */
1.137     brouard  3646:   } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/  
                   3647:   
1.145     brouard  3648:  for (k=-1; k< maxncov; k++) Ndum[k]=0; 
1.137     brouard  3649:   
1.187     brouard  3650:   for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
1.145     brouard  3651:    /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
                   3652:    ij=Tvar[i]; /* Tvar might be -1 if status was unknown */ 
1.187     brouard  3653:    Ndum[ij]++; /* Might be supersed V1 + V1*age */
1.145     brouard  3654:  } 
1.126     brouard  3655: 
1.192     brouard  3656:  ij=0;
1.145     brouard  3657:  for (i=0; i<=  maxncov-1; i++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
                   3658:    /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
1.126     brouard  3659:    if((Ndum[i]!=0) && (i<=ncovcol)){
1.192     brouard  3660:      ij++;
1.145     brouard  3661:      /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
                   3662:      Tvaraff[ij]=i; /*For printing (unclear) */
1.192     brouard  3663:    }else{
                   3664:        /* Tvaraff[ij]=0; */
                   3665:    }
1.126     brouard  3666:  }
1.192     brouard  3667:  /* ij--; */
1.144     brouard  3668:  cptcoveff=ij; /*Number of total covariates*/
1.145     brouard  3669: 
1.126     brouard  3670: }
                   3671: 
1.145     brouard  3672: 
1.126     brouard  3673: /*********** Health Expectancies ****************/
                   3674: 
1.127     brouard  3675: 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  3676: 
                   3677: {
                   3678:   /* Health expectancies, no variances */
1.164     brouard  3679:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  3680:   int nhstepma, nstepma; /* Decreasing with age */
                   3681:   double age, agelim, hf;
                   3682:   double ***p3mat;
                   3683:   double eip;
                   3684: 
                   3685:   pstamp(ficreseij);
                   3686:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   3687:   fprintf(ficreseij,"# Age");
                   3688:   for(i=1; i<=nlstate;i++){
                   3689:     for(j=1; j<=nlstate;j++){
                   3690:       fprintf(ficreseij," e%1d%1d ",i,j);
                   3691:     }
                   3692:     fprintf(ficreseij," e%1d. ",i);
                   3693:   }
                   3694:   fprintf(ficreseij,"\n");
                   3695: 
                   3696:   
                   3697:   if(estepm < stepm){
                   3698:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   3699:   }
                   3700:   else  hstepm=estepm;   
                   3701:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   3702:    * This is mainly to measure the difference between two models: for example
                   3703:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   3704:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   3705:    * progression in between and thus overestimating or underestimating according
                   3706:    * to the curvature of the survival function. If, for the same date, we 
                   3707:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   3708:    * to compare the new estimate of Life expectancy with the same linear 
                   3709:    * hypothesis. A more precise result, taking into account a more precise
                   3710:    * curvature will be obtained if estepm is as small as stepm. */
                   3711: 
                   3712:   /* For example we decided to compute the life expectancy with the smallest unit */
                   3713:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   3714:      nhstepm is the number of hstepm from age to agelim 
                   3715:      nstepm is the number of stepm from age to agelin. 
                   3716:      Look at hpijx to understand the reason of that which relies in memory size
                   3717:      and note for a fixed period like estepm months */
                   3718:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   3719:      survival function given by stepm (the optimization length). Unfortunately it
                   3720:      means that if the survival funtion is printed only each two years of age and if
                   3721:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   3722:      results. So we changed our mind and took the option of the best precision.
                   3723:   */
                   3724:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   3725: 
                   3726:   agelim=AGESUP;
                   3727:   /* If stepm=6 months */
                   3728:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   3729:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   3730:     
                   3731: /* nhstepm age range expressed in number of stepm */
                   3732:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   3733:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3734:   /* if (stepm >= YEARM) hstepm=1;*/
                   3735:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   3736:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3737: 
                   3738:   for (age=bage; age<=fage; age ++){ 
                   3739:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   3740:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3741:     /* if (stepm >= YEARM) hstepm=1;*/
                   3742:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   3743: 
                   3744:     /* If stepm=6 months */
                   3745:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   3746:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   3747:     
                   3748:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   3749:     
                   3750:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   3751:     
                   3752:     printf("%d|",(int)age);fflush(stdout);
                   3753:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   3754:     
                   3755:     /* Computing expectancies */
                   3756:     for(i=1; i<=nlstate;i++)
                   3757:       for(j=1; j<=nlstate;j++)
                   3758:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   3759:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   3760:          
                   3761:          /* 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]);*/
                   3762: 
                   3763:        }
                   3764: 
                   3765:     fprintf(ficreseij,"%3.0f",age );
                   3766:     for(i=1; i<=nlstate;i++){
                   3767:       eip=0;
                   3768:       for(j=1; j<=nlstate;j++){
                   3769:        eip +=eij[i][j][(int)age];
                   3770:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   3771:       }
                   3772:       fprintf(ficreseij,"%9.4f", eip );
                   3773:     }
                   3774:     fprintf(ficreseij,"\n");
                   3775:     
                   3776:   }
                   3777:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3778:   printf("\n");
                   3779:   fprintf(ficlog,"\n");
                   3780:   
                   3781: }
                   3782: 
1.127     brouard  3783: 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  3784: 
                   3785: {
                   3786:   /* Covariances of health expectancies eij and of total life expectancies according
                   3787:    to initial status i, ei. .
                   3788:   */
                   3789:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   3790:   int nhstepma, nstepma; /* Decreasing with age */
                   3791:   double age, agelim, hf;
                   3792:   double ***p3matp, ***p3matm, ***varhe;
                   3793:   double **dnewm,**doldm;
                   3794:   double *xp, *xm;
                   3795:   double **gp, **gm;
                   3796:   double ***gradg, ***trgradg;
                   3797:   int theta;
                   3798: 
                   3799:   double eip, vip;
                   3800: 
                   3801:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   3802:   xp=vector(1,npar);
                   3803:   xm=vector(1,npar);
                   3804:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   3805:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   3806:   
                   3807:   pstamp(ficresstdeij);
                   3808:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   3809:   fprintf(ficresstdeij,"# Age");
                   3810:   for(i=1; i<=nlstate;i++){
                   3811:     for(j=1; j<=nlstate;j++)
                   3812:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   3813:     fprintf(ficresstdeij," e%1d. ",i);
                   3814:   }
                   3815:   fprintf(ficresstdeij,"\n");
                   3816: 
                   3817:   pstamp(ficrescveij);
                   3818:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   3819:   fprintf(ficrescveij,"# Age");
                   3820:   for(i=1; i<=nlstate;i++)
                   3821:     for(j=1; j<=nlstate;j++){
                   3822:       cptj= (j-1)*nlstate+i;
                   3823:       for(i2=1; i2<=nlstate;i2++)
                   3824:        for(j2=1; j2<=nlstate;j2++){
                   3825:          cptj2= (j2-1)*nlstate+i2;
                   3826:          if(cptj2 <= cptj)
                   3827:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   3828:        }
                   3829:     }
                   3830:   fprintf(ficrescveij,"\n");
                   3831:   
                   3832:   if(estepm < stepm){
                   3833:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   3834:   }
                   3835:   else  hstepm=estepm;   
                   3836:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   3837:    * This is mainly to measure the difference between two models: for example
                   3838:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   3839:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   3840:    * progression in between and thus overestimating or underestimating according
                   3841:    * to the curvature of the survival function. If, for the same date, we 
                   3842:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   3843:    * to compare the new estimate of Life expectancy with the same linear 
                   3844:    * hypothesis. A more precise result, taking into account a more precise
                   3845:    * curvature will be obtained if estepm is as small as stepm. */
                   3846: 
                   3847:   /* For example we decided to compute the life expectancy with the smallest unit */
                   3848:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   3849:      nhstepm is the number of hstepm from age to agelim 
                   3850:      nstepm is the number of stepm from age to agelin. 
                   3851:      Look at hpijx to understand the reason of that which relies in memory size
                   3852:      and note for a fixed period like estepm months */
                   3853:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   3854:      survival function given by stepm (the optimization length). Unfortunately it
                   3855:      means that if the survival funtion is printed only each two years of age and if
                   3856:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   3857:      results. So we changed our mind and took the option of the best precision.
                   3858:   */
                   3859:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   3860: 
                   3861:   /* If stepm=6 months */
                   3862:   /* nhstepm age range expressed in number of stepm */
                   3863:   agelim=AGESUP;
                   3864:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   3865:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3866:   /* if (stepm >= YEARM) hstepm=1;*/
                   3867:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   3868:   
                   3869:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3870:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3871:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   3872:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   3873:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   3874:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   3875: 
                   3876:   for (age=bage; age<=fage; age ++){ 
                   3877:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   3878:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3879:     /* if (stepm >= YEARM) hstepm=1;*/
                   3880:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   3881: 
                   3882:     /* If stepm=6 months */
                   3883:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   3884:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   3885:     
                   3886:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   3887: 
                   3888:     /* Computing  Variances of health expectancies */
                   3889:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   3890:        decrease memory allocation */
                   3891:     for(theta=1; theta <=npar; theta++){
                   3892:       for(i=1; i<=npar; i++){ 
                   3893:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   3894:        xm[i] = x[i] - (i==theta ?delti[theta]:0);
                   3895:       }
                   3896:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
                   3897:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
                   3898:   
                   3899:       for(j=1; j<= nlstate; j++){
                   3900:        for(i=1; i<=nlstate; i++){
                   3901:          for(h=0; h<=nhstepm-1; h++){
                   3902:            gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
                   3903:            gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
                   3904:          }
                   3905:        }
                   3906:       }
                   3907:      
                   3908:       for(ij=1; ij<= nlstate*nlstate; ij++)
                   3909:        for(h=0; h<=nhstepm-1; h++){
                   3910:          gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
                   3911:        }
                   3912:     }/* End theta */
                   3913:     
                   3914:     
                   3915:     for(h=0; h<=nhstepm-1; h++)
                   3916:       for(j=1; j<=nlstate*nlstate;j++)
                   3917:        for(theta=1; theta <=npar; theta++)
                   3918:          trgradg[h][j][theta]=gradg[h][theta][j];
                   3919:     
                   3920: 
                   3921:      for(ij=1;ij<=nlstate*nlstate;ij++)
                   3922:       for(ji=1;ji<=nlstate*nlstate;ji++)
                   3923:        varhe[ij][ji][(int)age] =0.;
                   3924: 
                   3925:      printf("%d|",(int)age);fflush(stdout);
                   3926:      fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   3927:      for(h=0;h<=nhstepm-1;h++){
                   3928:       for(k=0;k<=nhstepm-1;k++){
                   3929:        matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
                   3930:        matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
                   3931:        for(ij=1;ij<=nlstate*nlstate;ij++)
                   3932:          for(ji=1;ji<=nlstate*nlstate;ji++)
                   3933:            varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
                   3934:       }
                   3935:     }
                   3936: 
                   3937:     /* Computing expectancies */
                   3938:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   3939:     for(i=1; i<=nlstate;i++)
                   3940:       for(j=1; j<=nlstate;j++)
                   3941:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   3942:          eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
                   3943:          
                   3944:          /* 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]);*/
                   3945: 
                   3946:        }
                   3947: 
                   3948:     fprintf(ficresstdeij,"%3.0f",age );
                   3949:     for(i=1; i<=nlstate;i++){
                   3950:       eip=0.;
                   3951:       vip=0.;
                   3952:       for(j=1; j<=nlstate;j++){
                   3953:        eip += eij[i][j][(int)age];
                   3954:        for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
                   3955:          vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
                   3956:        fprintf(ficresstdeij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[(j-1)*nlstate+i][(j-1)*nlstate+i][(int)age]) );
                   3957:       }
                   3958:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   3959:     }
                   3960:     fprintf(ficresstdeij,"\n");
                   3961: 
                   3962:     fprintf(ficrescveij,"%3.0f",age );
                   3963:     for(i=1; i<=nlstate;i++)
                   3964:       for(j=1; j<=nlstate;j++){
                   3965:        cptj= (j-1)*nlstate+i;
                   3966:        for(i2=1; i2<=nlstate;i2++)
                   3967:          for(j2=1; j2<=nlstate;j2++){
                   3968:            cptj2= (j2-1)*nlstate+i2;
                   3969:            if(cptj2 <= cptj)
                   3970:              fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
                   3971:          }
                   3972:       }
                   3973:     fprintf(ficrescveij,"\n");
                   3974:    
                   3975:   }
                   3976:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   3977:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   3978:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   3979:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   3980:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3981:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3982:   printf("\n");
                   3983:   fprintf(ficlog,"\n");
                   3984: 
                   3985:   free_vector(xm,1,npar);
                   3986:   free_vector(xp,1,npar);
                   3987:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   3988:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   3989:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   3990: }
                   3991: 
                   3992: /************ Variance ******************/
1.203     brouard  3993:  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 *ncvyear, int ij, int estepm, int cptcov, int cptcod, int popbased, int mobilav, char strstart[])
1.126     brouard  3994: {
                   3995:   /* Variance of health expectancies */
                   3996:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
                   3997:   /* double **newm;*/
1.169     brouard  3998:   /* int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)*/
                   3999:   
                   4000:   int movingaverage();
1.126     brouard  4001:   double **dnewm,**doldm;
                   4002:   double **dnewmp,**doldmp;
                   4003:   int i, j, nhstepm, hstepm, h, nstepm ;
1.164     brouard  4004:   int k;
1.126     brouard  4005:   double *xp;
                   4006:   double **gp, **gm;  /* for var eij */
                   4007:   double ***gradg, ***trgradg; /*for var eij */
                   4008:   double **gradgp, **trgradgp; /* for var p point j */
                   4009:   double *gpp, *gmp; /* for var p point j */
                   4010:   double **varppt; /* for var p point j nlstate to nlstate+ndeath */
                   4011:   double ***p3mat;
                   4012:   double age,agelim, hf;
                   4013:   double ***mobaverage;
                   4014:   int theta;
                   4015:   char digit[4];
                   4016:   char digitp[25];
                   4017: 
                   4018:   char fileresprobmorprev[FILENAMELENGTH];
                   4019: 
                   4020:   if(popbased==1){
                   4021:     if(mobilav!=0)
1.201     brouard  4022:       strcpy(digitp,"-POPULBASED-MOBILAV_");
                   4023:     else strcpy(digitp,"-POPULBASED-NOMOBIL_");
1.126     brouard  4024:   }
                   4025:   else 
1.201     brouard  4026:     strcpy(digitp,"-STABLBASED_");
1.126     brouard  4027: 
                   4028:   if (mobilav!=0) {
                   4029:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   4030:     if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
                   4031:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   4032:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   4033:     }
                   4034:   }
                   4035: 
1.201     brouard  4036:   strcpy(fileresprobmorprev,"PRMORPREV-"); 
1.126     brouard  4037:   sprintf(digit,"%-d",ij);
                   4038:   /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
                   4039:   strcat(fileresprobmorprev,digit); /* Tvar to be done */
                   4040:   strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
1.202     brouard  4041:   strcat(fileresprobmorprev,fileresu);
1.126     brouard  4042:   if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
                   4043:     printf("Problem with resultfile: %s\n", fileresprobmorprev);
                   4044:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
                   4045:   }
                   4046:   printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   4047:  
                   4048:   fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   4049:   pstamp(ficresprobmorprev);
                   4050:   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);
                   4051:   fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
                   4052:   for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   4053:     fprintf(ficresprobmorprev," p.%-d SE",j);
                   4054:     for(i=1; i<=nlstate;i++)
                   4055:       fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
                   4056:   }  
                   4057:   fprintf(ficresprobmorprev,"\n");
                   4058:   fprintf(ficgp,"\n# Routine varevsij");
1.200     brouard  4059:   fprintf(ficgp,"\nunset title \n");
                   4060: /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
1.126     brouard  4061:   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");
                   4062:   fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
                   4063: /*   } */
                   4064:   varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   4065:   pstamp(ficresvij);
                   4066:   fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
                   4067:   if(popbased==1)
1.128     brouard  4068:     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);
1.126     brouard  4069:   else
                   4070:     fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
                   4071:   fprintf(ficresvij,"# Age");
                   4072:   for(i=1; i<=nlstate;i++)
                   4073:     for(j=1; j<=nlstate;j++)
                   4074:       fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
                   4075:   fprintf(ficresvij,"\n");
                   4076: 
                   4077:   xp=vector(1,npar);
                   4078:   dnewm=matrix(1,nlstate,1,npar);
                   4079:   doldm=matrix(1,nlstate,1,nlstate);
                   4080:   dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
                   4081:   doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   4082: 
                   4083:   gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
                   4084:   gpp=vector(nlstate+1,nlstate+ndeath);
                   4085:   gmp=vector(nlstate+1,nlstate+ndeath);
                   4086:   trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
                   4087:   
                   4088:   if(estepm < stepm){
                   4089:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   4090:   }
                   4091:   else  hstepm=estepm;   
                   4092:   /* For example we decided to compute the life expectancy with the smallest unit */
                   4093:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   4094:      nhstepm is the number of hstepm from age to agelim 
                   4095:      nstepm is the number of stepm from age to agelin. 
1.128     brouard  4096:      Look at function hpijx to understand why (it is linked to memory size questions) */
1.126     brouard  4097:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   4098:      survival function given by stepm (the optimization length). Unfortunately it
                   4099:      means that if the survival funtion is printed every two years of age and if
                   4100:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   4101:      results. So we changed our mind and took the option of the best precision.
                   4102:   */
                   4103:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   4104:   agelim = AGESUP;
                   4105:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   4106:     nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   4107:     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   4108:     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4109:     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
                   4110:     gp=matrix(0,nhstepm,1,nlstate);
                   4111:     gm=matrix(0,nhstepm,1,nlstate);
                   4112: 
                   4113: 
                   4114:     for(theta=1; theta <=npar; theta++){
                   4115:       for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
                   4116:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   4117:       }
                   4118:       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
1.203     brouard  4119:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyear,ij);
1.126     brouard  4120: 
                   4121:       if (popbased==1) {
                   4122:        if(mobilav ==0){
                   4123:          for(i=1; i<=nlstate;i++)
                   4124:            prlim[i][i]=probs[(int)age][i][ij];
                   4125:        }else{ /* mobilav */ 
                   4126:          for(i=1; i<=nlstate;i++)
                   4127:            prlim[i][i]=mobaverage[(int)age][i][ij];
                   4128:        }
                   4129:       }
                   4130:   
                   4131:       for(j=1; j<= nlstate; j++){
                   4132:        for(h=0; h<=nhstepm; h++){
                   4133:          for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                   4134:            gp[h][j] += prlim[i][i]*p3mat[i][j][h];
                   4135:        }
                   4136:       }
                   4137:       /* This for computing probability of death (h=1 means
                   4138:          computed over hstepm matrices product = hstepm*stepm months) 
                   4139:          as a weighted average of prlim.
                   4140:       */
                   4141:       for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   4142:        for(i=1,gpp[j]=0.; i<= nlstate; i++)
                   4143:          gpp[j] += prlim[i][i]*p3mat[i][j][1];
                   4144:       }    
                   4145:       /* end probability of death */
                   4146: 
                   4147:       for(i=1; i<=npar; i++) /* Computes gradient x - delta */
                   4148:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   4149:       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
1.203     brouard  4150:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyear, ij);
1.126     brouard  4151:  
                   4152:       if (popbased==1) {
                   4153:        if(mobilav ==0){
                   4154:          for(i=1; i<=nlstate;i++)
                   4155:            prlim[i][i]=probs[(int)age][i][ij];
                   4156:        }else{ /* mobilav */ 
                   4157:          for(i=1; i<=nlstate;i++)
                   4158:            prlim[i][i]=mobaverage[(int)age][i][ij];
                   4159:        }
                   4160:       }
                   4161: 
1.128     brouard  4162:       for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
1.126     brouard  4163:        for(h=0; h<=nhstepm; h++){
                   4164:          for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                   4165:            gm[h][j] += prlim[i][i]*p3mat[i][j][h];
                   4166:        }
                   4167:       }
                   4168:       /* This for computing probability of death (h=1 means
                   4169:          computed over hstepm matrices product = hstepm*stepm months) 
                   4170:          as a weighted average of prlim.
                   4171:       */
                   4172:       for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   4173:        for(i=1,gmp[j]=0.; i<= nlstate; i++)
                   4174:          gmp[j] += prlim[i][i]*p3mat[i][j][1];
                   4175:       }    
                   4176:       /* end probability of death */
                   4177: 
                   4178:       for(j=1; j<= nlstate; j++) /* vareij */
                   4179:        for(h=0; h<=nhstepm; h++){
                   4180:          gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
                   4181:        }
                   4182: 
                   4183:       for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
                   4184:        gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
                   4185:       }
                   4186: 
                   4187:     } /* End theta */
                   4188: 
                   4189:     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
                   4190: 
                   4191:     for(h=0; h<=nhstepm; h++) /* veij */
                   4192:       for(j=1; j<=nlstate;j++)
                   4193:        for(theta=1; theta <=npar; theta++)
                   4194:          trgradg[h][j][theta]=gradg[h][theta][j];
                   4195: 
                   4196:     for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                   4197:       for(theta=1; theta <=npar; theta++)
                   4198:        trgradgp[j][theta]=gradgp[theta][j];
                   4199:   
                   4200: 
                   4201:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   4202:     for(i=1;i<=nlstate;i++)
                   4203:       for(j=1;j<=nlstate;j++)
                   4204:        vareij[i][j][(int)age] =0.;
                   4205: 
                   4206:     for(h=0;h<=nhstepm;h++){
                   4207:       for(k=0;k<=nhstepm;k++){
                   4208:        matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
                   4209:        matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
                   4210:        for(i=1;i<=nlstate;i++)
                   4211:          for(j=1;j<=nlstate;j++)
                   4212:            vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
                   4213:       }
                   4214:     }
                   4215:   
                   4216:     /* pptj */
                   4217:     matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
                   4218:     matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
                   4219:     for(j=nlstate+1;j<=nlstate+ndeath;j++)
                   4220:       for(i=nlstate+1;i<=nlstate+ndeath;i++)
                   4221:        varppt[j][i]=doldmp[j][i];
                   4222:     /* end ppptj */
                   4223:     /*  x centered again */
                   4224:     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
1.203     brouard  4225:     prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyear,ij);
1.126     brouard  4226:  
                   4227:     if (popbased==1) {
                   4228:       if(mobilav ==0){
                   4229:        for(i=1; i<=nlstate;i++)
                   4230:          prlim[i][i]=probs[(int)age][i][ij];
                   4231:       }else{ /* mobilav */ 
                   4232:        for(i=1; i<=nlstate;i++)
                   4233:          prlim[i][i]=mobaverage[(int)age][i][ij];
                   4234:       }
                   4235:     }
                   4236:              
                   4237:     /* This for computing probability of death (h=1 means
                   4238:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
                   4239:        as a weighted average of prlim.
                   4240:     */
                   4241:     for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   4242:       for(i=1,gmp[j]=0.;i<= nlstate; i++) 
                   4243:        gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
                   4244:     }    
                   4245:     /* end probability of death */
                   4246: 
                   4247:     fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
                   4248:     for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   4249:       fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
                   4250:       for(i=1; i<=nlstate;i++){
                   4251:        fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
                   4252:       }
                   4253:     } 
                   4254:     fprintf(ficresprobmorprev,"\n");
                   4255: 
                   4256:     fprintf(ficresvij,"%.0f ",age );
                   4257:     for(i=1; i<=nlstate;i++)
                   4258:       for(j=1; j<=nlstate;j++){
                   4259:        fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
                   4260:       }
                   4261:     fprintf(ficresvij,"\n");
                   4262:     free_matrix(gp,0,nhstepm,1,nlstate);
                   4263:     free_matrix(gm,0,nhstepm,1,nlstate);
                   4264:     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
                   4265:     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
                   4266:     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4267:   } /* End age */
                   4268:   free_vector(gpp,nlstate+1,nlstate+ndeath);
                   4269:   free_vector(gmp,nlstate+1,nlstate+ndeath);
                   4270:   free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
                   4271:   free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.199     brouard  4272:   /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
                   4273:   fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
1.126     brouard  4274:   /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
1.131     brouard  4275:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
1.201     brouard  4276:   fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  4277: /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
                   4278: /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   4279: /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
1.145     brouard  4280:   fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
1.170     brouard  4281:   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
1.145     brouard  4282:   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
1.126     brouard  4283:   fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
1.201     brouard  4284:   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);
1.199     brouard  4285:   /*  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  4286: */
1.199     brouard  4287: /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
1.201     brouard  4288:   fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  4289: 
                   4290:   free_vector(xp,1,npar);
                   4291:   free_matrix(doldm,1,nlstate,1,nlstate);
                   4292:   free_matrix(dnewm,1,nlstate,1,npar);
                   4293:   free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   4294:   free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
                   4295:   free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   4296:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   4297:   fclose(ficresprobmorprev);
                   4298:   fflush(ficgp);
                   4299:   fflush(fichtm); 
                   4300: }  /* end varevsij */
                   4301: 
                   4302: /************ Variance of prevlim ******************/
1.203     brouard  4303:  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 *ncvyear, int ij, char strstart[])
1.126     brouard  4304: {
1.205     brouard  4305:   /* Variance of prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
1.126     brouard  4306:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  4307: 
1.126     brouard  4308:   double **dnewm,**doldm;
                   4309:   int i, j, nhstepm, hstepm;
                   4310:   double *xp;
                   4311:   double *gp, *gm;
                   4312:   double **gradg, **trgradg;
                   4313:   double age,agelim;
                   4314:   int theta;
                   4315:   
                   4316:   pstamp(ficresvpl);
                   4317:   fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
                   4318:   fprintf(ficresvpl,"# Age");
                   4319:   for(i=1; i<=nlstate;i++)
                   4320:       fprintf(ficresvpl," %1d-%1d",i,i);
                   4321:   fprintf(ficresvpl,"\n");
                   4322: 
                   4323:   xp=vector(1,npar);
                   4324:   dnewm=matrix(1,nlstate,1,npar);
                   4325:   doldm=matrix(1,nlstate,1,nlstate);
                   4326:   
                   4327:   hstepm=1*YEARM; /* Every year of age */
                   4328:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   4329:   agelim = AGESUP;
                   4330:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   4331:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   4332:     if (stepm >= YEARM) hstepm=1;
                   4333:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   4334:     gradg=matrix(1,npar,1,nlstate);
                   4335:     gp=vector(1,nlstate);
                   4336:     gm=vector(1,nlstate);
                   4337: 
                   4338:     for(theta=1; theta <=npar; theta++){
                   4339:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   4340:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   4341:       }
1.203     brouard  4342:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyear,ij);
1.126     brouard  4343:       for(i=1;i<=nlstate;i++)
                   4344:        gp[i] = prlim[i][i];
                   4345:     
                   4346:       for(i=1; i<=npar; i++) /* Computes gradient */
                   4347:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.203     brouard  4348:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyear,ij);
1.126     brouard  4349:       for(i=1;i<=nlstate;i++)
                   4350:        gm[i] = prlim[i][i];
                   4351: 
                   4352:       for(i=1;i<=nlstate;i++)
                   4353:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
                   4354:     } /* End theta */
                   4355: 
                   4356:     trgradg =matrix(1,nlstate,1,npar);
                   4357: 
                   4358:     for(j=1; j<=nlstate;j++)
                   4359:       for(theta=1; theta <=npar; theta++)
                   4360:        trgradg[j][theta]=gradg[theta][j];
                   4361: 
                   4362:     for(i=1;i<=nlstate;i++)
                   4363:       varpl[i][(int)age] =0.;
1.205     brouard  4364:     if((int)age==67 ||(int)age== 66 ){
                   4365:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   4366:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
                   4367:     }else{
1.126     brouard  4368:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   4369:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  4370:     }
1.126     brouard  4371:     for(i=1;i<=nlstate;i++)
                   4372:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   4373: 
                   4374:     fprintf(ficresvpl,"%.0f ",age );
                   4375:     for(i=1; i<=nlstate;i++)
                   4376:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
                   4377:     fprintf(ficresvpl,"\n");
                   4378:     free_vector(gp,1,nlstate);
                   4379:     free_vector(gm,1,nlstate);
                   4380:     free_matrix(gradg,1,npar,1,nlstate);
                   4381:     free_matrix(trgradg,1,nlstate,1,npar);
                   4382:   } /* End age */
                   4383: 
                   4384:   free_vector(xp,1,npar);
                   4385:   free_matrix(doldm,1,nlstate,1,npar);
                   4386:   free_matrix(dnewm,1,nlstate,1,nlstate);
                   4387: 
                   4388: }
                   4389: 
                   4390: /************ Variance of one-step probabilities  ******************/
                   4391: 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[])
                   4392: {
1.164     brouard  4393:   int i, j=0,  k1, l1, tj;
1.126     brouard  4394:   int k2, l2, j1,  z1;
1.164     brouard  4395:   int k=0, l;
1.145     brouard  4396:   int first=1, first1, first2;
1.126     brouard  4397:   double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   4398:   double **dnewm,**doldm;
                   4399:   double *xp;
                   4400:   double *gp, *gm;
                   4401:   double **gradg, **trgradg;
                   4402:   double **mu;
1.164     brouard  4403:   double age, cov[NCOVMAX+1];
1.126     brouard  4404:   double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   4405:   int theta;
                   4406:   char fileresprob[FILENAMELENGTH];
                   4407:   char fileresprobcov[FILENAMELENGTH];
                   4408:   char fileresprobcor[FILENAMELENGTH];
                   4409:   double ***varpij;
                   4410: 
1.201     brouard  4411:   strcpy(fileresprob,"PROB_"); 
1.126     brouard  4412:   strcat(fileresprob,fileres);
                   4413:   if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   4414:     printf("Problem with resultfile: %s\n", fileresprob);
                   4415:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   4416:   }
1.201     brouard  4417:   strcpy(fileresprobcov,"PROBCOV_"); 
1.202     brouard  4418:   strcat(fileresprobcov,fileresu);
1.126     brouard  4419:   if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   4420:     printf("Problem with resultfile: %s\n", fileresprobcov);
                   4421:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   4422:   }
1.201     brouard  4423:   strcpy(fileresprobcor,"PROBCOR_"); 
1.202     brouard  4424:   strcat(fileresprobcor,fileresu);
1.126     brouard  4425:   if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   4426:     printf("Problem with resultfile: %s\n", fileresprobcor);
                   4427:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   4428:   }
                   4429:   printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   4430:   fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   4431:   printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   4432:   fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   4433:   printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   4434:   fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   4435:   pstamp(ficresprob);
                   4436:   fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   4437:   fprintf(ficresprob,"# Age");
                   4438:   pstamp(ficresprobcov);
                   4439:   fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   4440:   fprintf(ficresprobcov,"# Age");
                   4441:   pstamp(ficresprobcor);
                   4442:   fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   4443:   fprintf(ficresprobcor,"# Age");
                   4444: 
                   4445: 
                   4446:   for(i=1; i<=nlstate;i++)
                   4447:     for(j=1; j<=(nlstate+ndeath);j++){
                   4448:       fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   4449:       fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   4450:       fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   4451:     }  
                   4452:  /* fprintf(ficresprob,"\n");
                   4453:   fprintf(ficresprobcov,"\n");
                   4454:   fprintf(ficresprobcor,"\n");
                   4455:  */
1.131     brouard  4456:   xp=vector(1,npar);
1.126     brouard  4457:   dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   4458:   doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   4459:   mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   4460:   varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   4461:   first=1;
                   4462:   fprintf(ficgp,"\n# Routine varprob");
                   4463:   fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   4464:   fprintf(fichtm,"\n");
                   4465: 
1.200     brouard  4466:   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);
1.197     brouard  4467:   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);
                   4468:   fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
1.126     brouard  4469: and drawn. It helps understanding how is the covariance between two incidences.\
                   4470:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
                   4471:   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. \
                   4472: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   4473: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   4474: standard deviations wide on each axis. <br>\
                   4475:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   4476:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   4477: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   4478: 
                   4479:   cov[1]=1;
1.145     brouard  4480:   /* tj=cptcoveff; */
                   4481:   tj = (int) pow(2,cptcoveff);
1.126     brouard  4482:   if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   4483:   j1=0;
1.145     brouard  4484:   for(j1=1; j1<=tj;j1++){
                   4485:     /*for(i1=1; i1<=ncodemax[t];i1++){ */
                   4486:     /*j1++;*/
1.126     brouard  4487:       if  (cptcovn>0) {
                   4488:        fprintf(ficresprob, "\n#********** Variable "); 
1.198     brouard  4489:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4490:        fprintf(ficresprob, "**********\n#\n");
                   4491:        fprintf(ficresprobcov, "\n#********** Variable "); 
1.198     brouard  4492:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4493:        fprintf(ficresprobcov, "**********\n#\n");
                   4494:        
                   4495:        fprintf(ficgp, "\n#********** Variable "); 
1.198     brouard  4496:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4497:        fprintf(ficgp, "**********\n#\n");
                   4498:        
                   4499:        
                   4500:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
1.198     brouard  4501:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4502:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
                   4503:        
                   4504:        fprintf(ficresprobcor, "\n#********** Variable ");    
1.198     brouard  4505:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4506:        fprintf(ficresprobcor, "**********\n#");    
                   4507:       }
                   4508:       
1.145     brouard  4509:       gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   4510:       trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   4511:       gp=vector(1,(nlstate)*(nlstate+ndeath));
                   4512:       gm=vector(1,(nlstate)*(nlstate+ndeath));
1.126     brouard  4513:       for (age=bage; age<=fage; age ++){ 
                   4514:        cov[2]=age;
1.187     brouard  4515:        if(nagesqr==1)
                   4516:          cov[3]= age*age;
1.126     brouard  4517:        for (k=1; k<=cptcovn;k++) {
1.200     brouard  4518:          cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
                   4519:          /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
1.145     brouard  4520:                                                         * 1  1 1 1 1
                   4521:                                                         * 2  2 1 1 1
                   4522:                                                         * 3  1 2 1 1
                   4523:                                                         */
                   4524:          /* nbcode[1][1]=0 nbcode[1][2]=1;*/
1.126     brouard  4525:        }
1.186     brouard  4526:        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200     brouard  4527:        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
1.126     brouard  4528:        for (k=1; k<=cptcovprod;k++)
1.200     brouard  4529:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.126     brouard  4530:        
                   4531:     
                   4532:        for(theta=1; theta <=npar; theta++){
                   4533:          for(i=1; i<=npar; i++)
                   4534:            xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
                   4535:          
                   4536:          pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   4537:          
                   4538:          k=0;
                   4539:          for(i=1; i<= (nlstate); i++){
                   4540:            for(j=1; j<=(nlstate+ndeath);j++){
                   4541:              k=k+1;
                   4542:              gp[k]=pmmij[i][j];
                   4543:            }
                   4544:          }
                   4545:          
                   4546:          for(i=1; i<=npar; i++)
                   4547:            xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
                   4548:     
                   4549:          pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   4550:          k=0;
                   4551:          for(i=1; i<=(nlstate); i++){
                   4552:            for(j=1; j<=(nlstate+ndeath);j++){
                   4553:              k=k+1;
                   4554:              gm[k]=pmmij[i][j];
                   4555:            }
                   4556:          }
                   4557:      
                   4558:          for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   4559:            gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   4560:        }
                   4561: 
                   4562:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   4563:          for(theta=1; theta <=npar; theta++)
                   4564:            trgradg[j][theta]=gradg[theta][j];
                   4565:        
                   4566:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   4567:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
                   4568: 
                   4569:        pmij(pmmij,cov,ncovmodel,x,nlstate);
                   4570:        
                   4571:        k=0;
                   4572:        for(i=1; i<=(nlstate); i++){
                   4573:          for(j=1; j<=(nlstate+ndeath);j++){
                   4574:            k=k+1;
                   4575:            mu[k][(int) age]=pmmij[i][j];
                   4576:          }
                   4577:        }
                   4578:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   4579:          for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   4580:            varpij[i][j][(int)age] = doldm[i][j];
                   4581: 
                   4582:        /*printf("\n%d ",(int)age);
                   4583:          for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   4584:          printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   4585:          fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   4586:          }*/
                   4587: 
                   4588:        fprintf(ficresprob,"\n%d ",(int)age);
                   4589:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   4590:        fprintf(ficresprobcor,"\n%d ",(int)age);
                   4591: 
                   4592:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   4593:          fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   4594:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   4595:          fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   4596:          fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   4597:        }
                   4598:        i=0;
                   4599:        for (k=1; k<=(nlstate);k++){
                   4600:          for (l=1; l<=(nlstate+ndeath);l++){ 
1.145     brouard  4601:            i++;
1.126     brouard  4602:            fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   4603:            fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   4604:            for (j=1; j<=i;j++){
1.145     brouard  4605:              /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
1.126     brouard  4606:              fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   4607:              fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   4608:            }
                   4609:          }
                   4610:        }/* end of loop for state */
                   4611:       } /* end of loop for age */
1.145     brouard  4612:       free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   4613:       free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   4614:       free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   4615:       free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   4616:       
1.126     brouard  4617:       /* Confidence intervalle of pij  */
                   4618:       /*
1.131     brouard  4619:        fprintf(ficgp,"\nunset parametric;unset label");
1.126     brouard  4620:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   4621:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   4622:        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);
                   4623:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   4624:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   4625:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   4626:       */
                   4627: 
                   4628:       /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
1.145     brouard  4629:       first1=1;first2=2;
1.126     brouard  4630:       for (k2=1; k2<=(nlstate);k2++){
                   4631:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   4632:          if(l2==k2) continue;
                   4633:          j=(k2-1)*(nlstate+ndeath)+l2;
                   4634:          for (k1=1; k1<=(nlstate);k1++){
                   4635:            for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   4636:              if(l1==k1) continue;
                   4637:              i=(k1-1)*(nlstate+ndeath)+l1;
                   4638:              if(i<=j) continue;
                   4639:              for (age=bage; age<=fage; age ++){ 
                   4640:                if ((int)age %5==0){
                   4641:                  v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   4642:                  v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   4643:                  cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   4644:                  mu1=mu[i][(int) age]/stepm*YEARM ;
                   4645:                  mu2=mu[j][(int) age]/stepm*YEARM;
                   4646:                  c12=cv12/sqrt(v1*v2);
                   4647:                  /* Computing eigen value of matrix of covariance */
                   4648:                  lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4649:                  lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
1.135     brouard  4650:                  if ((lc2 <0) || (lc1 <0) ){
1.145     brouard  4651:                    if(first2==1){
                   4652:                      first1=0;
                   4653:                    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);
                   4654:                    }
                   4655:                    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);
                   4656:                    /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   4657:                    /* lc2=fabs(lc2); */
1.135     brouard  4658:                  }
                   4659: 
1.126     brouard  4660:                  /* Eigen vectors */
                   4661:                  v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                   4662:                  /*v21=sqrt(1.-v11*v11); *//* error */
                   4663:                  v21=(lc1-v1)/cv12*v11;
                   4664:                  v12=-v21;
                   4665:                  v22=v11;
                   4666:                  tnalp=v21/v11;
                   4667:                  if(first1==1){
                   4668:                    first1=0;
                   4669:                    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);
                   4670:                  }
                   4671:                  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);
                   4672:                  /*printf(fignu*/
                   4673:                  /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   4674:                  /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   4675:                  if(first==1){
                   4676:                    first=0;
1.200     brouard  4677:                    fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
1.126     brouard  4678:                    fprintf(ficgp,"\nset parametric;unset label");
                   4679:                    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);
1.199     brouard  4680:                    fprintf(ficgp,"\nset ter svg size 640, 480");
1.126     brouard  4681:                    fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
1.201     brouard  4682:  :<a href=\"%s_%d%1d%1d-%1d%1d.svg\">\
                   4683: %s_%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
                   4684:                            subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2,\
                   4685:                            subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   4686:                    fprintf(fichtmcov,"\n<br><img src=\"%s_%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
1.126     brouard  4687:                    fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
1.201     brouard  4688:                    fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
1.126     brouard  4689:                    fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   4690:                    fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   4691:                    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",\
                   4692:                            mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                   4693:                            mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   4694:                  }else{
                   4695:                    first=0;
                   4696:                    fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   4697:                    fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   4698:                    fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   4699:                    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",\
                   4700:                            mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                   4701:                            mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   4702:                  }/* if first */
                   4703:                } /* age mod 5 */
                   4704:              } /* end loop age */
1.201     brouard  4705:              fprintf(ficgp,"\nset out;\nset out \"%s_%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
1.126     brouard  4706:              first=1;
                   4707:            } /*l12 */
                   4708:          } /* k12 */
                   4709:        } /*l1 */
                   4710:       }/* k1 */
1.169     brouard  4711:       /* } */ /* loop covariates */
1.126     brouard  4712:   }
                   4713:   free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   4714:   free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   4715:   free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   4716:   free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   4717:   free_vector(xp,1,npar);
                   4718:   fclose(ficresprob);
                   4719:   fclose(ficresprobcov);
                   4720:   fclose(ficresprobcor);
                   4721:   fflush(ficgp);
                   4722:   fflush(fichtmcov);
                   4723: }
                   4724: 
                   4725: 
                   4726: /******************* Printing html file ***********/
1.201     brouard  4727: void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  4728:                  int lastpass, int stepm, int weightopt, char model[],\
                   4729:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
                   4730:                  int popforecast, int estepm ,\
                   4731:                  double jprev1, double mprev1,double anprev1, \
                   4732:                  double jprev2, double mprev2,double anprev2){
                   4733:   int jj1, k1, i1, cpt;
                   4734: 
                   4735:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   4736:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   4737: </ul>");
                   4738:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n \
                   4739:  - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> <br>\n ",
1.201     brouard  4740:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_"));
1.126     brouard  4741:    fprintf(fichtm,"\
                   4742:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
1.201     brouard  4743:           stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_"));
1.126     brouard  4744:    fprintf(fichtm,"\
                   4745:  - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  4746:           subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
1.126     brouard  4747:    fprintf(fichtm,"\
1.128     brouard  4748:  - (a) Life expectancies by health status at initial age, ei. (b) health expectancies by health status at initial age, eij . 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  4749:    <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  4750:           estepm,subdirf2(fileresu,"E_"),subdirf2(fileresu,"E_"));
1.126     brouard  4751:    fprintf(fichtm,"\
                   4752:  - Population projections by age and states: \
1.201     brouard  4753:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
1.126     brouard  4754: 
                   4755: fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
                   4756: 
1.145     brouard  4757:  m=pow(2,cptcoveff);
1.126     brouard  4758:  if (cptcovn < 1) {m=1;ncodemax[1]=1;}
                   4759: 
                   4760:  jj1=0;
                   4761:  for(k1=1; k1<=m;k1++){
1.192     brouard  4762:    /* for(i1=1; i1<=ncodemax[k1];i1++){ */
1.126     brouard  4763:      jj1++;
                   4764:      if (cptcovn > 0) {
                   4765:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.192     brouard  4766:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
1.198     brouard  4767:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
                   4768:         printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout);
1.192     brouard  4769:        }
1.126     brouard  4770:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   4771:      }
1.201     brouard  4772:      /* aij, bij */
                   4773:      fprintf(fichtm,"<br>- Logit model, 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> \
                   4774: <img src=\"%s_%d-1.svg\">",subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);
1.126     brouard  4775:      /* Pij */
1.202     brouard  4776:      fprintf(fichtm,"<br>\n- Pij 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  4777: <img src=\"%s_%d-2.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);     
1.126     brouard  4778:      /* Quasi-incidences */
1.201     brouard  4779:      fprintf(fichtm,"<br>\n- Iij or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
                   4780:  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too,\
                   4781:  incidence (rates) are the limit when h tends to zero of the ratio of the probability hPij \
                   4782: divided by h: hPij/h : <a href=\"%s_%d-3.svg\">%s_%d-3.svg</a><br> \
                   4783: <img src=\"%s_%d-3.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1); 
                   4784:      /* Survival functions (period) in state j */
                   4785:      for(cpt=1; cpt<=nlstate;cpt++){
                   4786:        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> \
                   4787: <img src=\"%s_%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"LIJ_"),cpt,jj1,subdirf2(optionfilefiname,"LIJ_"),cpt,jj1,subdirf2(optionfilefiname,"LIJ_"),cpt,jj1);
                   4788:      }
                   4789:      /* State specific survival functions (period) */
                   4790:      for(cpt=1; cpt<=nlstate;cpt++){
                   4791:        fprintf(fichtm,"<br>\n- Survival functions from state %d in any different live states and total.\
                   4792:  Or probability to survive in various states (1 to %d) being in state %d at different ages.\
                   4793:  <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);
                   4794:      }
                   4795:      /* Period (stable) prevalence in each health state */
                   4796:      for(cpt=1; cpt<=nlstate;cpt++){
                   4797:        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> \
                   4798: <img src=\"%s_%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"P_"),cpt,jj1,subdirf2(optionfilefiname,"P_"),cpt,jj1,subdirf2(optionfilefiname,"P_"),cpt,jj1);
                   4799:      }
1.126     brouard  4800:      for(cpt=1; cpt<=nlstate;cpt++) {
1.205     brouard  4801:        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  4802: <img src=\"%s_%d%d.svg\">",cpt,nlstate,subdirf2(optionfilefiname,"EXP_"),cpt,jj1,subdirf2(optionfilefiname,"EXP_"),cpt,jj1,subdirf2(optionfilefiname,"EXP_"),cpt,jj1);
1.126     brouard  4803:      }
1.192     brouard  4804:    /* } /\* end i1 *\/ */
1.126     brouard  4805:  }/* End k1 */
                   4806:  fprintf(fichtm,"</ul>");
                   4807: 
                   4808:  fprintf(fichtm,"\
                   4809: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
1.193     brouard  4810:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
1.203     brouard  4811:  - 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  4812: But because parameters are usually highly correlated (a higher incidence of disability \
                   4813: and a higher incidence of recovery can give very close observed transition) it might \
                   4814: be very useful to look not only at linear confidence intervals estimated from the \
                   4815: variances but at the covariance matrix. And instead of looking at the estimated coefficients \
                   4816: (parameters) of the logistic regression, it might be more meaningful to visualize the \
                   4817: covariance matrix of the one-step probabilities. \
                   4818: See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
1.126     brouard  4819: 
1.193     brouard  4820:  fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  4821:         subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_"));
1.126     brouard  4822:  fprintf(fichtm,"\
                   4823:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  4824:         subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_"));
1.126     brouard  4825: 
                   4826:  fprintf(fichtm,"\
                   4827:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  4828:         subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"PROBCOR_"));
1.126     brouard  4829:  fprintf(fichtm,"\
                   4830:  - 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): \
                   4831:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  4832:           estepm,subdirf2(fileresu,"CVE_"),subdirf2(fileresu,"CVE_"));
1.126     brouard  4833:  fprintf(fichtm,"\
                   4834:  - (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): \
                   4835:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  4836:           estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_"));
1.126     brouard  4837:  fprintf(fichtm,"\
1.128     brouard  4838:  - 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",
1.201     brouard  4839:         estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_"));
1.126     brouard  4840:  fprintf(fichtm,"\
1.128     brouard  4841:  - 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",
1.201     brouard  4842:         estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_"));
1.126     brouard  4843:  fprintf(fichtm,"\
                   4844:  - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\
1.201     brouard  4845:         subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
1.126     brouard  4846: 
                   4847: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   4848: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   4849: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   4850: /*     <br>",fileres,fileres,fileres,fileres); */
                   4851: /*  else  */
                   4852: /*    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); */
                   4853:  fflush(fichtm);
                   4854:  fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
                   4855: 
1.145     brouard  4856:  m=pow(2,cptcoveff);
1.126     brouard  4857:  if (cptcovn < 1) {m=1;ncodemax[1]=1;}
                   4858: 
                   4859:  jj1=0;
                   4860:  for(k1=1; k1<=m;k1++){
1.192     brouard  4861:    /* for(i1=1; i1<=ncodemax[k1];i1++){ */
1.126     brouard  4862:      jj1++;
                   4863:      if (cptcovn > 0) {
                   4864:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
                   4865:        for (cpt=1; cpt<=cptcoveff;cpt++) 
1.198     brouard  4866:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
1.126     brouard  4867:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   4868:      }
                   4869:      for(cpt=1; cpt<=nlstate;cpt++) {
                   4870:        fprintf(fichtm,"<br>- Observed (cross-sectional) and period (incidence based) \
1.205     brouard  4871: prevalence (with 95%% confidence interval) in state (%d): <a href=\"%s_%d%d.svg\"> %s_%d-%d.svg <br>\
                   4872: <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  4873:      }
                   4874:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.128     brouard  4875: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
                   4876: true period expectancies (those weighted with period prevalences are also\
                   4877:  drawn in addition to the population based expectancies computed using\
1.205     brouard  4878:  observed and cahotic prevalences:  <a href=\"%s_%d.svg\">%s_%d.svg<br>\
                   4879: <img src=\"%s_%d.svg\">",subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1);
1.192     brouard  4880:    /* } /\* end i1 *\/ */
1.126     brouard  4881:  }/* End k1 */
                   4882:  fprintf(fichtm,"</ul>");
                   4883:  fflush(fichtm);
                   4884: }
                   4885: 
                   4886: /******************* Gnuplot file **************/
1.201     brouard  4887: void printinggnuplot(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
1.126     brouard  4888: 
                   4889:   char dirfileres[132],optfileres[132];
1.164     brouard  4890:   int cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
1.130     brouard  4891:   int ng=0;
1.201     brouard  4892:   int vpopbased;
1.126     brouard  4893: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   4894: /*     printf("Problem with file %s",optionfilegnuplot); */
                   4895: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   4896: /*   } */
                   4897: 
                   4898:   /*#ifdef windows */
                   4899:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   4900:     /*#endif */
                   4901:   m=pow(2,cptcoveff);
                   4902: 
1.202     brouard  4903:   /* Contribution to likelihood */
                   4904:   /* Plot the probability implied in the likelihood */
                   4905:     fprintf(ficgp,"\n# Contributions to the Likelihood, mle >=1. For mle=4 no interpolation, pure matrix products.\n#\n");
                   4906:     fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Likelihood (-2Log(L))\";");
                   4907:     /* fprintf(ficgp,"\nset ter svg size 640, 480"); */ /* Too big for svg */
1.205     brouard  4908:     fprintf(ficgp,"\nset ter pngcairo size 640, 480");
1.204     brouard  4909: /* nice for mle=4 plot by number of matrix products.
1.202     brouard  4910:    replot  "rrtest1/toto.txt" u 2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with point lc 1 */
                   4911: /* replot exp(p1+p2*x)/(1+exp(p1+p2*x)+exp(p3+p4*x)+exp(p5+p6*x)) t "p12(x)"  */
                   4912:     /* fprintf(ficgp,"\nset out \"%s.svg\";",subdirf2(optionfilefiname,"ILK_")); */
1.204     brouard  4913:     fprintf(ficgp,"\nset out \"%s-dest.png\";",subdirf2(optionfilefiname,"ILK_"));
1.205     brouard  4914:     fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$12):5 t \"All sample, transitions colored by destination\" with dots lc variable; set out;\n",subdirf(fileresilk));
1.204     brouard  4915:     fprintf(ficgp,"\nset out \"%s-ori.png\";",subdirf2(optionfilefiname,"ILK_"));
1.205     brouard  4916:     fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$12):4 t \"All sample, transitions colored by origin\" with dots lc variable; set out;\n\n",subdirf(fileresilk));
1.204     brouard  4917:     for (i=1; i<= nlstate ; i ++) {
                   4918:       fprintf(ficgp,"\nset out \"%s-p%dj.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i);
1.205     brouard  4919:       fprintf(ficgp,"unset log;\n# plot weighted, mean weight should have point size of 0.5\n plot  \"%s\"",subdirf(fileresilk));
                   4920:       fprintf(ficgp,"  u  2:($4 == %d && $5==%d ? $9 : 1/0):($11/4.):5 t \"p%d%d\" with points pointtype 7 ps variable lc variable \\\n",i,1,i,1);
1.204     brouard  4921:       for (j=2; j<= nlstate+ndeath ; j ++) {
1.205     brouard  4922:        fprintf(ficgp,",\\\n \"\" u  2:($4 == %d && $5==%d ? $9 : 1/0):($11/4.):5 t \"p%d%d\" with points pointtype 7 ps variable lc variable ",i,j,i,j);
1.204     brouard  4923:       }
                   4924:       fprintf(ficgp,";\nset out; unset ylabel;\n"); 
                   4925:     }
                   4926:     /* 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 */             
                   4927:     /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
                   4928:     /* fprintf(ficgp,"\nreplot  \"%s\" u 2:($3 <= 3 ? -$11 : 1/0):3 t \"First 3 individuals\" with line lc variable", subdirf(fileresilk)); */
1.203     brouard  4929:     fprintf(ficgp,"\nset out;unset log\n");
1.202     brouard  4930:     /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
                   4931: 
1.126     brouard  4932:   strcpy(dirfileres,optionfilefiname);
                   4933:   strcpy(optfileres,"vpl");
                   4934:  /* 1eme*/
1.201     brouard  4935:   fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'VPL_' files\n");
1.126     brouard  4936:   for (cpt=1; cpt<= nlstate ; cpt ++) {
1.145     brouard  4937:     for (k1=1; k1<= m ; k1 ++) { /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
1.201     brouard  4938:      fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1);
                   4939:      fprintf(ficgp,"\n#set out \"V_%s_%d-%d.svg\" \n",optionfilefiname,cpt,k1);
1.126     brouard  4940:      fprintf(ficgp,"set xlabel \"Age\" \n\
                   4941: set ylabel \"Probability\" \n\
1.199     brouard  4942: set ter svg size 640, 480\n\
1.201     brouard  4943: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"%%lf",ageminpar,fage,subdirf2(fileresu,"VPL_"),k1-1,k1-1);
1.126     brouard  4944: 
                   4945:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  4946:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   4947:        else        fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4948:      }
1.201     brouard  4949:      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);
1.126     brouard  4950:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  4951:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   4952:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4953:      } 
1.201     brouard  4954:      fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"%%lf",subdirf2(fileresu,"VPL_"),k1-1,k1-1); 
1.126     brouard  4955:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  4956:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   4957:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4958:      }  
1.201     brouard  4959:      fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1));
                   4960:      fprintf(ficgp,"\nset out \n");
                   4961:     } /* k1 */
                   4962:   } /* cpt */
1.126     brouard  4963:   /*2 eme*/
1.153     brouard  4964:   fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files\n");
1.126     brouard  4965:   for (k1=1; k1<= m ; k1 ++) { 
1.201     brouard  4966:     fprintf(ficgp,"\nset out \"%s_%d.svg\" \n",subdirf2(optionfilefiname,"E_"),k1);
                   4967:     for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
                   4968:       if(vpopbased==0)
                   4969:        fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
                   4970:       else
                   4971:        fprintf(ficgp,"\nreplot ");
                   4972:       for (i=1; i<= nlstate+1 ; i ++) {
                   4973:        k=2*i;
                   4974:        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);
                   4975:        for (j=1; j<= nlstate+1 ; j ++) {
                   4976:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   4977:          else fprintf(ficgp," %%*lf (%%*lf)");
                   4978:        }   
                   4979:        if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l lt %d, \\\n",i);
                   4980:        else fprintf(ficgp,"\" t\"LE in state (%d)\" w l lt %d, \\\n",i-1,i+1);
                   4981:        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);
                   4982:        for (j=1; j<= nlstate+1 ; j ++) {
                   4983:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   4984:          else fprintf(ficgp," %%*lf (%%*lf)");
                   4985:        }   
                   4986:        fprintf(ficgp,"\" t\"\" w l lt 0,");
                   4987:        fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2==%d && $4!=0 ? $4+$5*2 : 1/0) \"%%lf %%lf %%lf",subdirf2(fileresu,"T_"),k1-1,k1-1,vpopbased);
                   4988:        for (j=1; j<= nlstate+1 ; j ++) {
                   4989:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   4990:          else fprintf(ficgp," %%*lf (%%*lf)");
                   4991:        }   
                   4992:        if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   4993:        else fprintf(ficgp,"\" t\"\" w l lt 0,\\\n");
                   4994:       } /* state */
                   4995:     } /* vpopbased */
                   4996:     fprintf(ficgp,"\nset out;set out \"%s_%d.svg\"; replot; set out; \n",subdirf2(optionfilefiname,"E_"),k1); /* Buggy gnuplot */
                   4997:   } /* k1 */
1.126     brouard  4998:   /*3eme*/
                   4999:   
                   5000:   for (k1=1; k1<= m ; k1 ++) { 
                   5001:     for (cpt=1; cpt<= nlstate ; cpt ++) {
                   5002:       /*       k=2+nlstate*(2*cpt-2); */
                   5003:       k=2+(nlstate+1)*(cpt-1);
1.201     brouard  5004:       fprintf(ficgp,"\nset out \"%s_%d%d.svg\" \n",subdirf2(optionfilefiname,"EXP_"),cpt,k1);
1.199     brouard  5005:       fprintf(ficgp,"set ter svg size 640, 480\n\
1.201     brouard  5006: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileresu,"E_"),k1-1,k1-1,k,cpt);
1.126     brouard  5007:       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   5008:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   5009:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   5010:        fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   5011:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   5012:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   5013:        
                   5014:       */
                   5015:       for (i=1; i< nlstate ; i ++) {
1.201     brouard  5016:        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);
1.126     brouard  5017:        /*      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);*/
                   5018:        
                   5019:       } 
1.201     brouard  5020:       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  5021:     }
                   5022:   }
                   5023:   
1.201     brouard  5024:   /* Survival functions (period) from state i in state j by initial state i */
                   5025:   for (k1=1; k1<= m ; k1 ++) { /* For each multivariate if any */
                   5026:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
                   5027:       k=3;
                   5028:       fprintf(ficgp,"\n#\n#\n# Survival functions in state j : 'lij' files, cov=%d state=%d",k1, cpt);
                   5029:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJ_"),cpt,k1);
                   5030:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   5031: set ter svg size 640, 480\n\
                   5032: unset log y\n\
                   5033: plot [%.f:%.f]  ", ageminpar, agemaxpar);
                   5034:       for (i=1; i<= nlstate ; i ++){
                   5035:        if(i==1)
                   5036:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   5037:        else
                   5038:          fprintf(ficgp,", '' ");
                   5039:        l=(nlstate+ndeath)*(i-1)+1;
                   5040:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   5041:        for (j=2; j<= nlstate+ndeath ; j ++)
                   5042:          fprintf(ficgp,"+$%d",k+l+j-1);
                   5043:        fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
                   5044:       } /* nlstate */
                   5045:       fprintf(ficgp,"\nset out\n");
                   5046:     } /* end cpt state*/ 
                   5047:   } /* end covariate */  
                   5048: 
                   5049:   /* Survival functions (period) from state i in state j by final state j */
1.202     brouard  5050:   for (k1=1; k1<= m ; k1 ++) { /* For each covariate if any */
1.201     brouard  5051:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each inital state  */
                   5052:       k=3;
                   5053:       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);
                   5054:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJT_"),cpt,k1);
                   5055:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   5056: set ter svg size 640, 480\n\
                   5057: unset log y\n\
                   5058: plot [%.f:%.f]  ", ageminpar, agemaxpar);
                   5059:       for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   5060:        if(j==1)
                   5061:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   5062:        else
                   5063:          fprintf(ficgp,", '' ");
                   5064:        l=(nlstate+ndeath)*(cpt-1) +j;
                   5065:        fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):($%d",k1,k+l);
                   5066:        /* for (i=2; i<= nlstate+ndeath ; i ++) */
                   5067:        /*   fprintf(ficgp,"+$%d",k+l+i-1); */
                   5068:        fprintf(ficgp,") t \"l(%d,%d)\" w l",cpt,j);
                   5069:       } /* nlstate */
                   5070:       fprintf(ficgp,", '' ");
                   5071:       fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):(",k1);
                   5072:       for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   5073:        l=(nlstate+ndeath)*(cpt-1) +j;
                   5074:        if(j < nlstate)
                   5075:          fprintf(ficgp,"$%d +",k+l);
                   5076:        else
                   5077:          fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
                   5078:       }
                   5079:       fprintf(ficgp,"\nset out\n");
                   5080:     } /* end cpt state*/ 
                   5081:   } /* end covariate */  
                   5082: 
1.202     brouard  5083:   /* CV preval stable (period) for each covariate */
                   5084:   for (k1=1; k1<= m ; k1 ++) { /* For each covariate if any */
1.153     brouard  5085:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.126     brouard  5086:       k=3;
1.153     brouard  5087:       fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, cov=%d state=%d",k1, cpt);
1.201     brouard  5088:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"P_"),cpt,k1);
1.126     brouard  5089:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.199     brouard  5090: set ter svg size 640, 480\n\
1.126     brouard  5091: unset log y\n\
1.153     brouard  5092: plot [%.f:%.f]  ", ageminpar, agemaxpar);
                   5093:       for (i=1; i<= nlstate ; i ++){
                   5094:        if(i==1)
1.201     brouard  5095:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
1.153     brouard  5096:        else
                   5097:          fprintf(ficgp,", '' ");
1.154     brouard  5098:        l=(nlstate+ndeath)*(i-1)+1;
                   5099:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
1.201     brouard  5100:        for (j=2; j<= nlstate ; j ++)
                   5101:          fprintf(ficgp,"+$%d",k+l+j-1);
1.153     brouard  5102:        fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
                   5103:       } /* nlstate */
1.201     brouard  5104:       fprintf(ficgp,"\nset out\n");
1.153     brouard  5105:     } /* end cpt state*/ 
                   5106:   } /* end covariate */  
1.201     brouard  5107: 
1.126     brouard  5108:   /* proba elementaires */
1.187     brouard  5109:   fprintf(ficgp,"\n##############\n#MLE estimated parameters\n#############\n");
1.126     brouard  5110:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  5111:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  5112:     for(k=1; k <=(nlstate+ndeath); k++){
                   5113:       if (k != i) {
1.187     brouard  5114:        fprintf(ficgp,"#   current state %d\n",k);
1.126     brouard  5115:        for(j=1; j <=ncovmodel; j++){
1.187     brouard  5116:          fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
1.126     brouard  5117:          jk++; 
                   5118:        }
1.187     brouard  5119:        fprintf(ficgp,"\n");
1.126     brouard  5120:       }
                   5121:     }
                   5122:    }
1.187     brouard  5123:   fprintf(ficgp,"##############\n#\n");
                   5124: 
1.145     brouard  5125:   /*goto avoid;*/
1.200     brouard  5126:   fprintf(ficgp,"\n##############\n#Graphics of probabilities or incidences\n#############\n");
1.187     brouard  5127:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   5128:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   5129:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   5130:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   5131:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   5132:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   5133:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   5134:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   5135:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   5136:   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   5137:   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
                   5138:   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   5139:   fprintf(ficgp,"#\n");
1.201     brouard  5140:    for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
1.187     brouard  5141:      fprintf(ficgp,"# ng=%d\n",ng);
                   5142:      fprintf(ficgp,"#   jk=1 to 2^%d=%d\n",cptcoveff,m);
1.126     brouard  5143:      for(jk=1; jk <=m; jk++) {
1.187     brouard  5144:        fprintf(ficgp,"#    jk=%d\n",jk);
1.201     brouard  5145:        fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),jk,ng);
                   5146:        fprintf(ficgp,"\nset ter svg size 640, 480 ");
                   5147:        if (ng==1){
                   5148:         fprintf(ficgp,"\nset ylabel \"Value of the logit of the model\"\n"); /* exp(a12+b12*x) could be nice */
                   5149:         fprintf(ficgp,"\nunset log y");
                   5150:        }else if (ng==2){
                   5151:         fprintf(ficgp,"\nset ylabel \"Probability\"\n");
                   5152:         fprintf(ficgp,"\nset log y");
                   5153:        }else if (ng==3){
1.126     brouard  5154:         fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
1.201     brouard  5155:         fprintf(ficgp,"\nset log y");
                   5156:        }else
                   5157:         fprintf(ficgp,"\nunset title ");
                   5158:        fprintf(ficgp,"\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
1.126     brouard  5159:        i=1;
                   5160:        for(k2=1; k2<=nlstate; k2++) {
                   5161:         k3=i;
                   5162:         for(k=1; k<=(nlstate+ndeath); k++) {
                   5163:           if (k != k2){
1.201     brouard  5164:             switch( ng) {
                   5165:             case 1:
1.187     brouard  5166:               if(nagesqr==0)
1.201     brouard  5167:                 fprintf(ficgp," p%d+p%d*x",i,i+1);
1.187     brouard  5168:               else /* nagesqr =1 */
1.201     brouard  5169:                 fprintf(ficgp," p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   5170:               break;
                   5171:             case 2: /* ng=2 */
1.187     brouard  5172:               if(nagesqr==0)
                   5173:                 fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   5174:               else /* nagesqr =1 */
1.201     brouard  5175:                   fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   5176:               break;
                   5177:             case 3:
                   5178:               if(nagesqr==0)
                   5179:                 fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   5180:               else /* nagesqr =1 */
                   5181:                 fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                   5182:               break;
                   5183:             }
1.141     brouard  5184:             ij=1;/* To be checked else nbcode[0][0] wrong */
1.187     brouard  5185:             for(j=3; j <=ncovmodel-nagesqr; j++) {
1.197     brouard  5186:               /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
                   5187:               if(ij <=cptcovage) { /* Bug valgrind */
                   5188:                 if((j-2)==Tage[ij]) { /* Bug valgrind */
1.200     brouard  5189:                   fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                   5190:                   /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
1.197     brouard  5191:                   ij++;
                   5192:                 }
1.186     brouard  5193:               }
                   5194:               else
1.198     brouard  5195:                 fprintf(ficgp,"+p%d*%d",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
1.126     brouard  5196:             }
1.201     brouard  5197:             if(ng != 1){
                   5198:               fprintf(ficgp,")/(1");
1.126     brouard  5199:             
1.201     brouard  5200:               for(k1=1; k1 <=nlstate; k1++){ 
                   5201:                 if(nagesqr==0)
                   5202:                   fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
                   5203:                 else /* nagesqr =1 */
                   5204:                   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);
                   5205:                 
                   5206:                 ij=1;
                   5207:                 for(j=3; j <=ncovmodel-nagesqr; j++){
                   5208:                   if(ij <=cptcovage) { /* Bug valgrind */
                   5209:                     if((j-2)==Tage[ij]) { /* Bug valgrind */
                   5210:                       fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                   5211:                       /* fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
                   5212:                       ij++;
                   5213:                     }
1.197     brouard  5214:                   }
1.201     brouard  5215:                   else
                   5216:                     fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
1.186     brouard  5217:                 }
1.201     brouard  5218:                 fprintf(ficgp,")");
1.126     brouard  5219:               }
                   5220:               fprintf(ficgp,")");
1.201     brouard  5221:               if(ng ==2)
                   5222:                 fprintf(ficgp," t \"p%d%d\" ", k2,k);
                   5223:               else /* ng= 3 */
                   5224:                 fprintf(ficgp," t \"i%d%d\" ", k2,k);
                   5225:             }else{ /* end ng <> 1 */
                   5226:               fprintf(ficgp," t \"logit(p%d%d)\" ", k2,k);
1.126     brouard  5227:             }
                   5228:             if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");
                   5229:             i=i+ncovmodel;
                   5230:           }
                   5231:         } /* end k */
                   5232:        } /* end k2 */
1.201     brouard  5233:        fprintf(ficgp,"\n set out\n");
1.126     brouard  5234:      } /* end jk */
                   5235:    } /* end ng */
1.164     brouard  5236:  /* avoid: */
1.126     brouard  5237:    fflush(ficgp); 
                   5238: }  /* end gnuplot */
                   5239: 
                   5240: 
                   5241: /*************** Moving average **************/
                   5242: int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav){
                   5243: 
                   5244:   int i, cpt, cptcod;
                   5245:   int modcovmax =1;
                   5246:   int mobilavrange, mob;
                   5247:   double age;
                   5248: 
                   5249:   modcovmax=2*cptcoveff;/* Max number of modalities. We suppose 
                   5250:                           a covariate has 2 modalities */
                   5251:   if (cptcovn<1) modcovmax=1; /* At least 1 pass */
                   5252: 
                   5253:   if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   5254:     if(mobilav==1) mobilavrange=5; /* default */
                   5255:     else mobilavrange=mobilav;
                   5256:     for (age=bage; age<=fage; age++)
                   5257:       for (i=1; i<=nlstate;i++)
                   5258:        for (cptcod=1;cptcod<=modcovmax;cptcod++)
                   5259:          mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   5260:     /* We keep the original values on the extreme ages bage, fage and for 
                   5261:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   5262:        we use a 5 terms etc. until the borders are no more concerned. 
                   5263:     */ 
                   5264:     for (mob=3;mob <=mobilavrange;mob=mob+2){
                   5265:       for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
                   5266:        for (i=1; i<=nlstate;i++){
                   5267:          for (cptcod=1;cptcod<=modcovmax;cptcod++){
                   5268:            mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                   5269:              for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   5270:                mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   5271:                mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                   5272:              }
                   5273:            mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
                   5274:          }
                   5275:        }
                   5276:       }/* end age */
                   5277:     }/* end mob */
                   5278:   }else return -1;
                   5279:   return 0;
                   5280: }/* End movingaverage */
                   5281: 
                   5282: 
                   5283: /************** Forecasting ******************/
1.169     brouard  5284: 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  5285:   /* proj1, year, month, day of starting projection 
                   5286:      agemin, agemax range of age
                   5287:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   5288:      anproj2 year of en of projection (same day and month as proj1).
                   5289:   */
1.164     brouard  5290:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1;
1.126     brouard  5291:   double agec; /* generic age */
                   5292:   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
                   5293:   double *popeffectif,*popcount;
                   5294:   double ***p3mat;
                   5295:   double ***mobaverage;
                   5296:   char fileresf[FILENAMELENGTH];
                   5297: 
                   5298:   agelim=AGESUP;
                   5299:   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   5300:  
1.201     brouard  5301:   strcpy(fileresf,"F_"); 
                   5302:   strcat(fileresf,fileresu);
1.126     brouard  5303:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   5304:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   5305:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   5306:   }
                   5307:   printf("Computing forecasting: result on file '%s' \n", fileresf);
                   5308:   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", fileresf);
                   5309: 
                   5310:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   5311: 
                   5312:   if (mobilav!=0) {
                   5313:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5314:     if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
                   5315:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   5316:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   5317:     }
                   5318:   }
                   5319: 
                   5320:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   5321:   if (stepm<=12) stepsize=1;
                   5322:   if(estepm < stepm){
                   5323:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   5324:   }
                   5325:   else  hstepm=estepm;   
                   5326: 
                   5327:   hstepm=hstepm/stepm; 
                   5328:   yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                   5329:                                fractional in yp1 */
                   5330:   anprojmean=yp;
                   5331:   yp2=modf((yp1*12),&yp);
                   5332:   mprojmean=yp;
                   5333:   yp1=modf((yp2*30.5),&yp);
                   5334:   jprojmean=yp;
                   5335:   if(jprojmean==0) jprojmean=1;
                   5336:   if(mprojmean==0) jprojmean=1;
                   5337: 
                   5338:   i1=cptcoveff;
                   5339:   if (cptcovn < 1){i1=1;}
                   5340:   
                   5341:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
                   5342:   
                   5343:   fprintf(ficresf,"#****** Routine prevforecast **\n");
                   5344: 
                   5345: /*           if (h==(int)(YEARM*yearp)){ */
                   5346:   for(cptcov=1, k=0;cptcov<=i1;cptcov++){
                   5347:     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
                   5348:       k=k+1;
                   5349:       fprintf(ficresf,"\n#******");
                   5350:       for(j=1;j<=cptcoveff;j++) {
1.198     brouard  5351:        fprintf(ficresf," V%d=%d, hpijx=probability over h years, hp.jx is weighted by observed prev ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  5352:       }
                   5353:       fprintf(ficresf,"******\n");
                   5354:       fprintf(ficresf,"# Covariate valuofcovar yearproj age");
                   5355:       for(j=1; j<=nlstate+ndeath;j++){ 
                   5356:        for(i=1; i<=nlstate;i++)              
                   5357:           fprintf(ficresf," p%d%d",i,j);
                   5358:        fprintf(ficresf," p.%d",j);
                   5359:       }
                   5360:       for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) { 
                   5361:        fprintf(ficresf,"\n");
                   5362:        fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
                   5363: 
                   5364:        for (agec=fage; agec>=(ageminpar-1); agec--){ 
                   5365:          nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   5366:          nhstepm = nhstepm/hstepm; 
                   5367:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5368:          oldm=oldms;savm=savms;
                   5369:          hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   5370:        
                   5371:          for (h=0; h<=nhstepm; h++){
                   5372:            if (h*hstepm/YEARM*stepm ==yearp) {
                   5373:               fprintf(ficresf,"\n");
                   5374:               for(j=1;j<=cptcoveff;j++) 
1.198     brouard  5375:                 fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  5376:              fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
                   5377:            } 
                   5378:            for(j=1; j<=nlstate+ndeath;j++) {
                   5379:              ppij=0.;
                   5380:              for(i=1; i<=nlstate;i++) {
                   5381:                if (mobilav==1) 
                   5382:                  ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod];
                   5383:                else {
                   5384:                  ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod];
                   5385:                }
                   5386:                if (h*hstepm/YEARM*stepm== yearp) {
                   5387:                  fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   5388:                }
                   5389:              } /* end i */
                   5390:              if (h*hstepm/YEARM*stepm==yearp) {
                   5391:                fprintf(ficresf," %.3f", ppij);
                   5392:              }
                   5393:            }/* end j */
                   5394:          } /* end h */
                   5395:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5396:        } /* end agec */
                   5397:       } /* end yearp */
                   5398:     } /* end cptcod */
                   5399:   } /* end  cptcov */
                   5400:        
                   5401:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5402: 
                   5403:   fclose(ficresf);
                   5404: }
                   5405: 
                   5406: /************** Forecasting *****not tested NB*************/
1.169     brouard  5407: 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  5408:   
                   5409:   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
                   5410:   int *popage;
                   5411:   double calagedatem, agelim, kk1, kk2;
                   5412:   double *popeffectif,*popcount;
                   5413:   double ***p3mat,***tabpop,***tabpopprev;
                   5414:   double ***mobaverage;
                   5415:   char filerespop[FILENAMELENGTH];
                   5416: 
                   5417:   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5418:   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5419:   agelim=AGESUP;
                   5420:   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;
                   5421:   
                   5422:   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   5423:   
                   5424:   
1.201     brouard  5425:   strcpy(filerespop,"POP_"); 
                   5426:   strcat(filerespop,fileresu);
1.126     brouard  5427:   if((ficrespop=fopen(filerespop,"w"))==NULL) {
                   5428:     printf("Problem with forecast resultfile: %s\n", filerespop);
                   5429:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);
                   5430:   }
                   5431:   printf("Computing forecasting: result on file '%s' \n", filerespop);
                   5432:   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);
                   5433: 
                   5434:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   5435: 
                   5436:   if (mobilav!=0) {
                   5437:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5438:     if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
                   5439:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   5440:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   5441:     }
                   5442:   }
                   5443: 
                   5444:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   5445:   if (stepm<=12) stepsize=1;
                   5446:   
                   5447:   agelim=AGESUP;
                   5448:   
                   5449:   hstepm=1;
                   5450:   hstepm=hstepm/stepm; 
                   5451:   
                   5452:   if (popforecast==1) {
                   5453:     if((ficpop=fopen(popfile,"r"))==NULL) {
                   5454:       printf("Problem with population file : %s\n",popfile);exit(0);
                   5455:       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);
                   5456:     } 
                   5457:     popage=ivector(0,AGESUP);
                   5458:     popeffectif=vector(0,AGESUP);
                   5459:     popcount=vector(0,AGESUP);
                   5460:     
                   5461:     i=1;   
                   5462:     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;
                   5463:    
                   5464:     imx=i;
                   5465:     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];
                   5466:   }
                   5467: 
                   5468:   for(cptcov=1,k=0;cptcov<=i2;cptcov++){
                   5469:    for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
                   5470:       k=k+1;
                   5471:       fprintf(ficrespop,"\n#******");
                   5472:       for(j=1;j<=cptcoveff;j++) {
1.198     brouard  5473:        fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  5474:       }
                   5475:       fprintf(ficrespop,"******\n");
                   5476:       fprintf(ficrespop,"# Age");
                   5477:       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);
                   5478:       if (popforecast==1)  fprintf(ficrespop," [Population]");
                   5479:       
                   5480:       for (cpt=0; cpt<=0;cpt++) { 
                   5481:        fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
                   5482:        
                   5483:        for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
                   5484:          nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
                   5485:          nhstepm = nhstepm/hstepm; 
                   5486:          
                   5487:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5488:          oldm=oldms;savm=savms;
                   5489:          hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   5490:        
                   5491:          for (h=0; h<=nhstepm; h++){
                   5492:            if (h==(int) (calagedatem+YEARM*cpt)) {
                   5493:              fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                   5494:            } 
                   5495:            for(j=1; j<=nlstate+ndeath;j++) {
                   5496:              kk1=0.;kk2=0;
                   5497:              for(i=1; i<=nlstate;i++) {              
                   5498:                if (mobilav==1) 
                   5499:                  kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];
                   5500:                else {
                   5501:                  kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];
                   5502:                }
                   5503:              }
                   5504:              if (h==(int)(calagedatem+12*cpt)){
                   5505:                tabpop[(int)(agedeb)][j][cptcod]=kk1;
                   5506:                  /*fprintf(ficrespop," %.3f", kk1);
                   5507:                    if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/
                   5508:              }
                   5509:            }
                   5510:            for(i=1; i<=nlstate;i++){
                   5511:              kk1=0.;
                   5512:                for(j=1; j<=nlstate;j++){
                   5513:                  kk1= kk1+tabpop[(int)(agedeb)][j][cptcod]; 
                   5514:                }
                   5515:                  tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)];
                   5516:            }
                   5517: 
                   5518:            if (h==(int)(calagedatem+12*cpt)) for(j=1; j<=nlstate;j++) 
                   5519:              fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);
                   5520:          }
                   5521:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5522:        }
                   5523:       }
                   5524:  
                   5525:   /******/
                   5526: 
                   5527:       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) { 
                   5528:        fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
                   5529:        for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
                   5530:          nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
                   5531:          nhstepm = nhstepm/hstepm; 
                   5532:          
                   5533:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5534:          oldm=oldms;savm=savms;
                   5535:          hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   5536:          for (h=0; h<=nhstepm; h++){
                   5537:            if (h==(int) (calagedatem+YEARM*cpt)) {
                   5538:              fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                   5539:            } 
                   5540:            for(j=1; j<=nlstate+ndeath;j++) {
                   5541:              kk1=0.;kk2=0;
                   5542:              for(i=1; i<=nlstate;i++) {              
                   5543:                kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];    
                   5544:              }
                   5545:              if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);        
                   5546:            }
                   5547:          }
                   5548:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5549:        }
                   5550:       }
                   5551:    } 
                   5552:   }
                   5553:  
                   5554:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5555: 
                   5556:   if (popforecast==1) {
                   5557:     free_ivector(popage,0,AGESUP);
                   5558:     free_vector(popeffectif,0,AGESUP);
                   5559:     free_vector(popcount,0,AGESUP);
                   5560:   }
                   5561:   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5562:   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5563:   fclose(ficrespop);
                   5564: } /* End of popforecast */
                   5565: 
                   5566: int fileappend(FILE *fichier, char *optionfich)
                   5567: {
                   5568:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   5569:     printf("Problem with file: %s\n", optionfich);
                   5570:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   5571:     return (0);
                   5572:   }
                   5573:   fflush(fichier);
                   5574:   return (1);
                   5575: }
                   5576: 
                   5577: 
                   5578: /**************** function prwizard **********************/
                   5579: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   5580: {
                   5581: 
                   5582:   /* Wizard to print covariance matrix template */
                   5583: 
1.164     brouard  5584:   char ca[32], cb[32];
                   5585:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  5586:   int numlinepar;
                   5587: 
                   5588:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   5589:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   5590:   for(i=1; i <=nlstate; i++){
                   5591:     jj=0;
                   5592:     for(j=1; j <=nlstate+ndeath; j++){
                   5593:       if(j==i) continue;
                   5594:       jj++;
                   5595:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   5596:       printf("%1d%1d",i,j);
                   5597:       fprintf(ficparo,"%1d%1d",i,j);
                   5598:       for(k=1; k<=ncovmodel;k++){
                   5599:        /*        printf(" %lf",param[i][j][k]); */
                   5600:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   5601:        printf(" 0.");
                   5602:        fprintf(ficparo," 0.");
                   5603:       }
                   5604:       printf("\n");
                   5605:       fprintf(ficparo,"\n");
                   5606:     }
                   5607:   }
                   5608:   printf("# Scales (for hessian or gradient estimation)\n");
                   5609:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   5610:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   5611:   for(i=1; i <=nlstate; i++){
                   5612:     jj=0;
                   5613:     for(j=1; j <=nlstate+ndeath; j++){
                   5614:       if(j==i) continue;
                   5615:       jj++;
                   5616:       fprintf(ficparo,"%1d%1d",i,j);
                   5617:       printf("%1d%1d",i,j);
                   5618:       fflush(stdout);
                   5619:       for(k=1; k<=ncovmodel;k++){
                   5620:        /*      printf(" %le",delti3[i][j][k]); */
                   5621:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   5622:        printf(" 0.");
                   5623:        fprintf(ficparo," 0.");
                   5624:       }
                   5625:       numlinepar++;
                   5626:       printf("\n");
                   5627:       fprintf(ficparo,"\n");
                   5628:     }
                   5629:   }
                   5630:   printf("# Covariance matrix\n");
                   5631: /* # 121 Var(a12)\n\ */
                   5632: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   5633: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   5634: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   5635: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   5636: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   5637: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   5638: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   5639:   fflush(stdout);
                   5640:   fprintf(ficparo,"# Covariance matrix\n");
                   5641:   /* # 121 Var(a12)\n\ */
                   5642:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   5643:   /* #   ...\n\ */
                   5644:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   5645:   
                   5646:   for(itimes=1;itimes<=2;itimes++){
                   5647:     jj=0;
                   5648:     for(i=1; i <=nlstate; i++){
                   5649:       for(j=1; j <=nlstate+ndeath; j++){
                   5650:        if(j==i) continue;
                   5651:        for(k=1; k<=ncovmodel;k++){
                   5652:          jj++;
                   5653:          ca[0]= k+'a'-1;ca[1]='\0';
                   5654:          if(itimes==1){
                   5655:            printf("#%1d%1d%d",i,j,k);
                   5656:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   5657:          }else{
                   5658:            printf("%1d%1d%d",i,j,k);
                   5659:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   5660:            /*  printf(" %.5le",matcov[i][j]); */
                   5661:          }
                   5662:          ll=0;
                   5663:          for(li=1;li <=nlstate; li++){
                   5664:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   5665:              if(lj==li) continue;
                   5666:              for(lk=1;lk<=ncovmodel;lk++){
                   5667:                ll++;
                   5668:                if(ll<=jj){
                   5669:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   5670:                  if(ll<jj){
                   5671:                    if(itimes==1){
                   5672:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   5673:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   5674:                    }else{
                   5675:                      printf(" 0.");
                   5676:                      fprintf(ficparo," 0.");
                   5677:                    }
                   5678:                  }else{
                   5679:                    if(itimes==1){
                   5680:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   5681:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   5682:                    }else{
                   5683:                      printf(" 0.");
                   5684:                      fprintf(ficparo," 0.");
                   5685:                    }
                   5686:                  }
                   5687:                }
                   5688:              } /* end lk */
                   5689:            } /* end lj */
                   5690:          } /* end li */
                   5691:          printf("\n");
                   5692:          fprintf(ficparo,"\n");
                   5693:          numlinepar++;
                   5694:        } /* end k*/
                   5695:       } /*end j */
                   5696:     } /* end i */
                   5697:   } /* end itimes */
                   5698: 
                   5699: } /* end of prwizard */
                   5700: /******************* Gompertz Likelihood ******************************/
                   5701: double gompertz(double x[])
                   5702: { 
                   5703:   double A,B,L=0.0,sump=0.,num=0.;
                   5704:   int i,n=0; /* n is the size of the sample */
                   5705: 
                   5706:   for (i=0;i<=imx-1 ; i++) {
                   5707:     sump=sump+weight[i];
                   5708:     /*    sump=sump+1;*/
                   5709:     num=num+1;
                   5710:   }
                   5711:  
                   5712:  
                   5713:   /* for (i=0; i<=imx; i++) 
                   5714:      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]);*/
                   5715: 
                   5716:   for (i=1;i<=imx ; i++)
                   5717:     {
                   5718:       if (cens[i] == 1 && wav[i]>1)
                   5719:        A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   5720:       
                   5721:       if (cens[i] == 0 && wav[i]>1)
                   5722:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                   5723:             +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
                   5724:       
                   5725:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   5726:       if (wav[i] > 1 ) { /* ??? */
                   5727:        L=L+A*weight[i];
                   5728:        /*      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]);*/
                   5729:       }
                   5730:     }
                   5731: 
                   5732:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   5733:  
                   5734:   return -2*L*num/sump;
                   5735: }
                   5736: 
1.136     brouard  5737: #ifdef GSL
                   5738: /******************* Gompertz_f Likelihood ******************************/
                   5739: double gompertz_f(const gsl_vector *v, void *params)
                   5740: { 
                   5741:   double A,B,LL=0.0,sump=0.,num=0.;
                   5742:   double *x= (double *) v->data;
                   5743:   int i,n=0; /* n is the size of the sample */
                   5744: 
                   5745:   for (i=0;i<=imx-1 ; i++) {
                   5746:     sump=sump+weight[i];
                   5747:     /*    sump=sump+1;*/
                   5748:     num=num+1;
                   5749:   }
                   5750:  
                   5751:  
                   5752:   /* for (i=0; i<=imx; i++) 
                   5753:      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]);*/
                   5754:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   5755:   for (i=1;i<=imx ; i++)
                   5756:     {
                   5757:       if (cens[i] == 1 && wav[i]>1)
                   5758:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   5759:       
                   5760:       if (cens[i] == 0 && wav[i]>1)
                   5761:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   5762:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   5763:       
                   5764:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   5765:       if (wav[i] > 1 ) { /* ??? */
                   5766:        LL=LL+A*weight[i];
                   5767:        /*      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]);*/
                   5768:       }
                   5769:     }
                   5770: 
                   5771:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   5772:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   5773:  
                   5774:   return -2*LL*num/sump;
                   5775: }
                   5776: #endif
                   5777: 
1.126     brouard  5778: /******************* Printing html file ***********/
1.201     brouard  5779: void printinghtmlmort(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  5780:                  int lastpass, int stepm, int weightopt, char model[],\
                   5781:                  int imx,  double p[],double **matcov,double agemortsup){
                   5782:   int i,k;
                   5783: 
                   5784:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   5785:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   5786:   for (i=1;i<=2;i++) 
                   5787:     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  5788:   fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
1.126     brouard  5789:   fprintf(fichtm,"</ul>");
                   5790: 
                   5791: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   5792: 
                   5793:  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>");
                   5794: 
                   5795:  for (k=agegomp;k<(agemortsup-2);k++) 
                   5796:    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]);
                   5797: 
                   5798:  
                   5799:   fflush(fichtm);
                   5800: }
                   5801: 
                   5802: /******************* Gnuplot file **************/
1.201     brouard  5803: void printinggnuplotmort(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
1.126     brouard  5804: 
                   5805:   char dirfileres[132],optfileres[132];
1.164     brouard  5806: 
1.126     brouard  5807:   int ng;
                   5808: 
                   5809: 
                   5810:   /*#ifdef windows */
                   5811:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   5812:     /*#endif */
                   5813: 
                   5814: 
                   5815:   strcpy(dirfileres,optionfilefiname);
                   5816:   strcpy(optfileres,"vpl");
1.199     brouard  5817:   fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
1.126     brouard  5818:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.199     brouard  5819:   fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
1.145     brouard  5820:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  5821:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   5822: 
                   5823: } 
                   5824: 
1.136     brouard  5825: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   5826: {
1.126     brouard  5827: 
1.136     brouard  5828:   /*-------- data file ----------*/
                   5829:   FILE *fic;
                   5830:   char dummy[]="                         ";
1.164     brouard  5831:   int i=0, j=0, n=0;
1.136     brouard  5832:   int linei, month, year,iout;
                   5833:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  5834:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  5835:   char *stratrunc;
                   5836:   int lstra;
1.126     brouard  5837: 
                   5838: 
1.136     brouard  5839:   if((fic=fopen(datafile,"r"))==NULL)    {
1.195     brouard  5840:     printf("Problem while opening datafile: %s\n", datafile);fflush(stdout);
                   5841:     fprintf(ficlog,"Problem while opening datafile: %s\n", datafile);fflush(ficlog);return 1;
1.136     brouard  5842:   }
1.126     brouard  5843: 
1.136     brouard  5844:   i=1;
                   5845:   linei=0;
                   5846:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   5847:     linei=linei+1;
                   5848:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   5849:       if(line[j] == '\t')
                   5850:        line[j] = ' ';
                   5851:     }
                   5852:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   5853:       ;
                   5854:     };
                   5855:     line[j+1]=0;  /* Trims blanks at end of line */
                   5856:     if(line[0]=='#'){
                   5857:       fprintf(ficlog,"Comment line\n%s\n",line);
                   5858:       printf("Comment line\n%s\n",line);
                   5859:       continue;
                   5860:     }
                   5861:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  5862:     strcpy(line, linetmp);
1.136     brouard  5863:   
1.126     brouard  5864: 
1.136     brouard  5865:     for (j=maxwav;j>=1;j--){
1.137     brouard  5866:       cutv(stra, strb, line, ' '); 
1.136     brouard  5867:       if(strb[0]=='.') { /* Missing status */
                   5868:        lval=-1;
                   5869:       }else{
                   5870:        errno=0;
                   5871:        lval=strtol(strb,&endptr,10); 
                   5872:       /*       if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   5873:        if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  5874:          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);
                   5875:          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);
1.136     brouard  5876:          return 1;
                   5877:        }
                   5878:       }
                   5879:       s[j][i]=lval;
                   5880:       
                   5881:       strcpy(line,stra);
                   5882:       cutv(stra, strb,line,' ');
1.169     brouard  5883:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  5884:       }
1.169     brouard  5885:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  5886:        month=99;
                   5887:        year=9999;
                   5888:       }else{
1.141     brouard  5889:        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);
                   5890:        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);
1.136     brouard  5891:        return 1;
                   5892:       }
                   5893:       anint[j][i]= (double) year; 
                   5894:       mint[j][i]= (double)month; 
                   5895:       strcpy(line,stra);
                   5896:     } /* ENd Waves */
                   5897:     
                   5898:     cutv(stra, strb,line,' '); 
1.169     brouard  5899:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  5900:     }
1.169     brouard  5901:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  5902:       month=99;
                   5903:       year=9999;
                   5904:     }else{
1.141     brouard  5905:       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);
                   5906:        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);
1.136     brouard  5907:        return 1;
                   5908:     }
                   5909:     andc[i]=(double) year; 
                   5910:     moisdc[i]=(double) month; 
                   5911:     strcpy(line,stra);
                   5912:     
                   5913:     cutv(stra, strb,line,' '); 
1.169     brouard  5914:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  5915:     }
1.169     brouard  5916:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  5917:       month=99;
                   5918:       year=9999;
                   5919:     }else{
1.141     brouard  5920:       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);
                   5921:       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);
1.136     brouard  5922:        return 1;
                   5923:     }
                   5924:     if (year==9999) {
1.141     brouard  5925:       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);
                   5926:       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);
1.136     brouard  5927:        return 1;
1.126     brouard  5928: 
1.136     brouard  5929:     }
                   5930:     annais[i]=(double)(year);
                   5931:     moisnais[i]=(double)(month); 
                   5932:     strcpy(line,stra);
                   5933:     
                   5934:     cutv(stra, strb,line,' '); 
                   5935:     errno=0;
                   5936:     dval=strtod(strb,&endptr); 
                   5937:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  5938:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   5939:       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  5940:       fflush(ficlog);
                   5941:       return 1;
                   5942:     }
                   5943:     weight[i]=dval; 
                   5944:     strcpy(line,stra);
                   5945:     
                   5946:     for (j=ncovcol;j>=1;j--){
                   5947:       cutv(stra, strb,line,' '); 
                   5948:       if(strb[0]=='.') { /* Missing status */
                   5949:        lval=-1;
                   5950:       }else{
                   5951:        errno=0;
                   5952:        lval=strtol(strb,&endptr,10); 
                   5953:        if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  5954:          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);
                   5955:          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);
1.136     brouard  5956:          return 1;
                   5957:        }
                   5958:       }
                   5959:       if(lval <-1 || lval >1){
1.141     brouard  5960:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  5961:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   5962:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
                   5963:  For example, for multinomial values like 1, 2 and 3,\n \
                   5964:  build V1=0 V2=0 for the reference value (1),\n \
                   5965:         V1=1 V2=0 for (2) \n \
                   5966:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
                   5967:  output of IMaCh is often meaningless.\n \
                   5968:  Exiting.\n",lval,linei, i,line,j);
1.141     brouard  5969:        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  5970:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   5971:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
                   5972:  For example, for multinomial values like 1, 2 and 3,\n \
                   5973:  build V1=0 V2=0 for the reference value (1),\n \
                   5974:         V1=1 V2=0 for (2) \n \
                   5975:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
                   5976:  output of IMaCh is often meaningless.\n \
                   5977:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
                   5978:        return 1;
                   5979:       }
                   5980:       covar[j][i]=(double)(lval);
                   5981:       strcpy(line,stra);
                   5982:     }  
                   5983:     lstra=strlen(stra);
                   5984:      
                   5985:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   5986:       stratrunc = &(stra[lstra-9]);
                   5987:       num[i]=atol(stratrunc);
                   5988:     }
                   5989:     else
                   5990:       num[i]=atol(stra);
                   5991:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   5992:       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;}*/
                   5993:     
                   5994:     i=i+1;
                   5995:   } /* End loop reading  data */
1.126     brouard  5996: 
1.136     brouard  5997:   *imax=i-1; /* Number of individuals */
                   5998:   fclose(fic);
                   5999:  
                   6000:   return (0);
1.164     brouard  6001:   /* endread: */
1.136     brouard  6002:     printf("Exiting readdata: ");
                   6003:     fclose(fic);
                   6004:     return (1);
1.126     brouard  6005: 
                   6006: 
                   6007: 
1.136     brouard  6008: }
1.145     brouard  6009: void removespace(char *str) {
                   6010:   char *p1 = str, *p2 = str;
                   6011:   do
                   6012:     while (*p2 == ' ')
                   6013:       p2++;
1.169     brouard  6014:   while (*p1++ == *p2++);
1.145     brouard  6015: }
                   6016: 
                   6017: int decodemodel ( char model[], int lastobs) /**< This routine decode the model and returns:
1.187     brouard  6018:    * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   6019:    * - nagesqr = 1 if age*age in the model, otherwise 0.
                   6020:    * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   6021:    * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
1.145     brouard  6022:    * - cptcovage number of covariates with age*products =2
                   6023:    * - cptcovs number of simple covariates
                   6024:    * - 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
                   6025:    *     which is a new column after the 9 (ncovcol) variables. 
                   6026:    * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
                   6027:    * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   6028:    *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   6029:    * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   6030:  */
1.136     brouard  6031: {
1.145     brouard  6032:   int i, j, k, ks;
1.164     brouard  6033:   int  j1, k1, k2;
1.136     brouard  6034:   char modelsav[80];
1.145     brouard  6035:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  6036:   char *strpt;
1.136     brouard  6037: 
1.145     brouard  6038:   /*removespace(model);*/
1.136     brouard  6039:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  6040:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  6041:     if (strstr(model,"AGE") !=0){
1.192     brouard  6042:       printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
                   6043:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
1.136     brouard  6044:       return 1;
                   6045:     }
1.141     brouard  6046:     if (strstr(model,"v") !=0){
                   6047:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   6048:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   6049:       return 1;
                   6050:     }
1.187     brouard  6051:     strcpy(modelsav,model); 
                   6052:     if ((strpt=strstr(model,"age*age")) !=0){
                   6053:       printf(" strpt=%s, model=%s\n",strpt, model);
                   6054:       if(strpt != model){
                   6055:       printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  6056:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  6057:  corresponding column of parameters.\n",model);
                   6058:       fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  6059:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  6060:  corresponding column of parameters.\n",model); fflush(ficlog);
                   6061:       return 1;
                   6062:     }
                   6063: 
                   6064:       nagesqr=1;
                   6065:       if (strstr(model,"+age*age") !=0)
                   6066:        substrchaine(modelsav, model, "+age*age");
                   6067:       else if (strstr(model,"age*age+") !=0)
                   6068:        substrchaine(modelsav, model, "age*age+");
                   6069:       else 
                   6070:        substrchaine(modelsav, model, "age*age");
                   6071:     }else
                   6072:       nagesqr=0;
                   6073:     if (strlen(modelsav) >1){
                   6074:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   6075:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
                   6076:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =2  */
                   6077:       cptcovt= j+1; /* Number of total covariates in the model, not including
                   6078:                   * cst, age and age*age 
                   6079:                   * V1+V1*age+ V3 + V3*V4+age*age=> 4*/
                   6080:                   /* including age products which are counted in cptcovage.
                   6081:                  * but the covariates which are products must be treated 
                   6082:                  * separately: ncovn=4- 2=2 (V1+V3). */
                   6083:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   6084:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
                   6085: 
                   6086:     
                   6087:       /*   Design
                   6088:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   6089:        *  <          ncovcol=8                >
                   6090:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   6091:        *   k=  1    2      3       4     5       6      7        8
                   6092:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   6093:        *  covar[k,i], value of kth covariate if not including age for individual i:
                   6094:        *       covar[1][i]= (V2), covar[4][i]=(V3), covar[8][i]=(V8)
                   6095:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[4]=3 Tvar[8]=8
                   6096:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   6097:        *  Tage[++cptcovage]=k
                   6098:        *       if products, new covar are created after ncovcol with k1
                   6099:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   6100:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   6101:        *  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
                   6102:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   6103:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   6104:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   6105:        *  <          ncovcol=8                >
                   6106:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   6107:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   6108:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
                   6109:        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   6110:        * p Tprod[1]@2={                         6, 5}
                   6111:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   6112:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   6113:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                   6114:        *How to reorganize?
                   6115:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   6116:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   6117:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   6118:        * Struct []
                   6119:        */
1.145     brouard  6120: 
1.187     brouard  6121:       /* This loop fills the array Tvar from the string 'model'.*/
                   6122:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   6123:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   6124:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   6125:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   6126:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   6127:       /*       k=1 Tvar[1]=2 (from V2) */
                   6128:       /*       k=5 Tvar[5] */
                   6129:       /* for (k=1; k<=cptcovn;k++) { */
1.198     brouard  6130:       /*       cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.187     brouard  6131:       /*       } */
1.198     brouard  6132:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
1.187     brouard  6133:       /*
                   6134:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
                   6135:       for(k=cptcovt; k>=1;k--) /**< Number of covariates */
1.145     brouard  6136:         Tvar[k]=0;
1.187     brouard  6137:       cptcovage=0;
                   6138:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
                   6139:        cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
                   6140:                                         modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
                   6141:        if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
                   6142:        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                   6143:        /*scanf("%d",i);*/
                   6144:        if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
                   6145:          cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
                   6146:          if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                   6147:            /* covar is not filled and then is empty */
                   6148:            cptcovprod--;
                   6149:            cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                   6150:            Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
                   6151:            cptcovage++; /* Sums the number of covariates which include age as a product */
                   6152:            Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
                   6153:            /*printf("stre=%s ", stre);*/
                   6154:          } else if (strcmp(strd,"age")==0) { /* or age*Vn */
                   6155:            cptcovprod--;
                   6156:            cutl(stre,strb,strc,'V');
                   6157:            Tvar[k]=atoi(stre);
                   6158:            cptcovage++;
                   6159:            Tage[cptcovage]=k;
                   6160:          } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                   6161:            /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                   6162:            cptcovn++;
                   6163:            cptcovprodnoage++;k1++;
                   6164:            cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                   6165:            Tvar[k]=ncovcol+k1; /* For model-covariate k tells which data-covariate to use but
                   6166:                                   because this model-covariate is a construction we invent a new column
                   6167:                                   ncovcol + k1
                   6168:                                   If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                   6169:                                   Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
                   6170:            cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                   6171:            Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
                   6172:            Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                   6173:            Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                   6174:            k2=k2+2;
                   6175:            Tvar[cptcovt+k2]=Tvard[k1][1]; /* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) */
                   6176:            Tvar[cptcovt+k2+1]=Tvard[k1][2];  /* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) */
                   6177:            for (i=1; i<=lastobs;i++){
                   6178:              /* Computes the new covariate which is a product of
                   6179:                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                   6180:              covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   6181:            }
                   6182:          } /* End age is not in the model */
                   6183:        } /* End if model includes a product */
                   6184:        else { /* no more sum */
                   6185:          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                   6186:          /*  scanf("%d",i);*/
                   6187:          cutl(strd,strc,strb,'V');
                   6188:          ks++; /**< Number of simple covariates */
1.145     brouard  6189:          cptcovn++;
1.187     brouard  6190:          Tvar[k]=atoi(strd);
                   6191:        }
                   6192:        strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
                   6193:        /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
                   6194:          scanf("%d",i);*/
                   6195:       } /* end of loop + on total covariates */
                   6196:     } /* end if strlen(modelsave == 0) age*age might exist */
                   6197:   } /* end if strlen(model == 0) */
1.136     brouard  6198:   
                   6199:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   6200:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
                   6201: 
                   6202:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
                   6203:   printf("cptcovprod=%d ", cptcovprod);
                   6204:   fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
                   6205: 
                   6206:   scanf("%d ",i);*/
                   6207: 
                   6208: 
1.137     brouard  6209:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  6210:   /*endread:*/
1.136     brouard  6211:     printf("Exiting decodemodel: ");
                   6212:     return (1);
                   6213: }
                   6214: 
1.169     brouard  6215: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.136     brouard  6216: {
                   6217:   int i, m;
                   6218: 
                   6219:   for (i=1; i<=imx; i++) {
                   6220:     for(m=2; (m<= maxwav); m++) {
                   6221:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   6222:        anint[m][i]=9999;
                   6223:        s[m][i]=-1;
                   6224:       }
                   6225:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.169     brouard  6226:        *nberr = *nberr + 1;
                   6227:        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 are biased (%d)\n",(int)moisdc[i],(int)andc[i],num[i],i, *nberr);
                   6228:        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 are biased (%d)\n",(int)moisdc[i],(int)andc[i],num[i],i, *nberr);
1.136     brouard  6229:        s[m][i]=-1;
                   6230:       }
                   6231:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  6232:        (*nberr)++;
1.136     brouard  6233:        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]); 
                   6234:        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]); 
                   6235:        s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
                   6236:       }
                   6237:     }
                   6238:   }
                   6239: 
                   6240:   for (i=1; i<=imx; i++)  {
                   6241:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   6242:     for(m=firstpass; (m<= lastpass); m++){
                   6243:       if(s[m][i] >0 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5){
                   6244:        if (s[m][i] >= nlstate+1) {
1.169     brouard  6245:          if(agedc[i]>0){
                   6246:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  6247:              agev[m][i]=agedc[i];
                   6248:          /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  6249:            }else {
1.136     brouard  6250:              if ((int)andc[i]!=9999){
                   6251:                nbwarn++;
                   6252:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   6253:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   6254:                agev[m][i]=-1;
                   6255:              }
                   6256:            }
1.169     brouard  6257:          } /* agedc > 0 */
1.136     brouard  6258:        }
                   6259:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   6260:                                 years but with the precision of a month */
                   6261:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   6262:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   6263:            agev[m][i]=1;
                   6264:          else if(agev[m][i] < *agemin){ 
                   6265:            *agemin=agev[m][i];
                   6266:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   6267:          }
                   6268:          else if(agev[m][i] >*agemax){
                   6269:            *agemax=agev[m][i];
1.156     brouard  6270:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  6271:          }
                   6272:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   6273:          /*     agev[m][i] = age[i]+2*m;*/
                   6274:        }
                   6275:        else { /* =9 */
                   6276:          agev[m][i]=1;
                   6277:          s[m][i]=-1;
                   6278:        }
                   6279:       }
                   6280:       else /*= 0 Unknown */
                   6281:        agev[m][i]=1;
                   6282:     }
                   6283:     
                   6284:   }
                   6285:   for (i=1; i<=imx; i++)  {
                   6286:     for(m=firstpass; (m<=lastpass); m++){
                   6287:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  6288:        (*nberr)++;
1.136     brouard  6289:        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);     
                   6290:        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);     
                   6291:        return 1;
                   6292:       }
                   6293:     }
                   6294:   }
                   6295: 
                   6296:   /*for (i=1; i<=imx; i++){
                   6297:   for (m=firstpass; (m<lastpass); m++){
                   6298:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   6299: }
                   6300: 
                   6301: }*/
                   6302: 
                   6303: 
1.139     brouard  6304:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   6305:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  6306: 
                   6307:   return (0);
1.164     brouard  6308:  /* endread:*/
1.136     brouard  6309:     printf("Exiting calandcheckages: ");
                   6310:     return (1);
                   6311: }
                   6312: 
1.172     brouard  6313: #if defined(_MSC_VER)
                   6314: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   6315: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   6316: //#include "stdafx.h"
                   6317: //#include <stdio.h>
                   6318: //#include <tchar.h>
                   6319: //#include <windows.h>
                   6320: //#include <iostream>
                   6321: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   6322: 
                   6323: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   6324: 
                   6325: BOOL IsWow64()
                   6326: {
                   6327:        BOOL bIsWow64 = FALSE;
                   6328: 
                   6329:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   6330:        //  (HANDLE, PBOOL);
                   6331: 
                   6332:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   6333: 
                   6334:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   6335:        const char funcName[] = "IsWow64Process";
                   6336:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   6337:                GetProcAddress(module, funcName);
                   6338: 
                   6339:        if (NULL != fnIsWow64Process)
                   6340:        {
                   6341:                if (!fnIsWow64Process(GetCurrentProcess(),
                   6342:                        &bIsWow64))
                   6343:                        //throw std::exception("Unknown error");
                   6344:                        printf("Unknown error\n");
                   6345:        }
                   6346:        return bIsWow64 != FALSE;
                   6347: }
                   6348: #endif
1.177     brouard  6349: 
1.191     brouard  6350: void syscompilerinfo(int logged)
1.167     brouard  6351:  {
                   6352:    /* #include "syscompilerinfo.h"*/
1.185     brouard  6353:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   6354:    /* /GS /W3 /Gy
                   6355:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   6356:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   6357:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  6358:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   6359:    */ 
                   6360:    /* 64 bits */
1.185     brouard  6361:    /*
                   6362:      /GS /W3 /Gy
                   6363:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   6364:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   6365:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   6366:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   6367:    /* Optimization are useless and O3 is slower than O2 */
                   6368:    /*
                   6369:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   6370:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   6371:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   6372:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   6373:    */
1.186     brouard  6374:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  6375:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   6376:       /PDB:"visual studio
                   6377:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   6378:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   6379:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   6380:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   6381:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   6382:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   6383:       uiAccess='false'"
                   6384:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   6385:       /NOLOGO /TLBID:1
                   6386:    */
1.177     brouard  6387: #if defined __INTEL_COMPILER
1.178     brouard  6388: #if defined(__GNUC__)
                   6389:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   6390: #endif
1.177     brouard  6391: #elif defined(__GNUC__) 
1.179     brouard  6392: #ifndef  __APPLE__
1.174     brouard  6393: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  6394: #endif
1.177     brouard  6395:    struct utsname sysInfo;
1.178     brouard  6396:    int cross = CROSS;
                   6397:    if (cross){
                   6398:           printf("Cross-");
1.191     brouard  6399:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  6400:    }
1.174     brouard  6401: #endif
                   6402: 
1.171     brouard  6403: #include <stdint.h>
1.178     brouard  6404: 
1.191     brouard  6405:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  6406: #if defined(__clang__)
1.191     brouard  6407:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  6408: #endif
                   6409: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191     brouard  6410:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  6411: #endif
                   6412: #if defined(__GNUC__) || defined(__GNUG__)
1.191     brouard  6413:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  6414: #endif
                   6415: #if defined(__HP_cc) || defined(__HP_aCC)
1.191     brouard  6416:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  6417: #endif
                   6418: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191     brouard  6419:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  6420: #endif
                   6421: #if defined(_MSC_VER)
1.191     brouard  6422:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  6423: #endif
                   6424: #if defined(__PGI)
1.191     brouard  6425:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  6426: #endif
                   6427: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191     brouard  6428:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  6429: #endif
1.191     brouard  6430:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  6431:    
1.167     brouard  6432: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   6433: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   6434:     // Windows (x64 and x86)
1.191     brouard  6435:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  6436: #elif __unix__ // all unices, not all compilers
                   6437:     // Unix
1.191     brouard  6438:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  6439: #elif __linux__
                   6440:     // linux
1.191     brouard  6441:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  6442: #elif __APPLE__
1.174     brouard  6443:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191     brouard  6444:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  6445: #endif
                   6446: 
                   6447: /*  __MINGW32__          */
                   6448: /*  __CYGWIN__  */
                   6449: /* __MINGW64__  */
                   6450: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   6451: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   6452: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   6453: /* _WIN64  // Defined for applications for Win64. */
                   6454: /* _M_X64 // Defined for compilations that target x64 processors. */
                   6455: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  6456: 
1.167     brouard  6457: #if UINTPTR_MAX == 0xffffffff
1.191     brouard  6458:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  6459: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191     brouard  6460:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  6461: #else
1.191     brouard  6462:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  6463: #endif
                   6464: 
1.169     brouard  6465: #if defined(__GNUC__)
                   6466: # if defined(__GNUC_PATCHLEVEL__)
                   6467: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   6468:                             + __GNUC_MINOR__ * 100 \
                   6469:                             + __GNUC_PATCHLEVEL__)
                   6470: # else
                   6471: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   6472:                             + __GNUC_MINOR__ * 100)
                   6473: # endif
1.174     brouard  6474:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191     brouard  6475:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  6476: 
                   6477:    if (uname(&sysInfo) != -1) {
                   6478:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191     brouard  6479:         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  6480:    }
                   6481:    else
                   6482:       perror("uname() error");
1.179     brouard  6483:    //#ifndef __INTEL_COMPILER 
                   6484: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  6485:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191     brouard  6486:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  6487: #endif
1.169     brouard  6488: #endif
1.172     brouard  6489: 
                   6490:    //   void main()
                   6491:    //   {
1.169     brouard  6492: #if defined(_MSC_VER)
1.174     brouard  6493:    if (IsWow64()){
1.191     brouard  6494:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
                   6495:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  6496:    }
                   6497:    else{
1.191     brouard  6498:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
                   6499:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  6500:    }
1.172     brouard  6501:    //     printf("\nPress Enter to continue...");
                   6502:    //     getchar();
                   6503:    //   }
                   6504: 
1.169     brouard  6505: #endif
                   6506:    
1.167     brouard  6507: 
                   6508:  }
1.136     brouard  6509: 
1.203     brouard  6510:  int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyear){
1.180     brouard  6511:   /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
                   6512:   int i, j, k, i1 ;
1.202     brouard  6513:   /* double ftolpl = 1.e-10; */
1.180     brouard  6514:   double age, agebase, agelim;
1.203     brouard  6515:   double tot;
1.180     brouard  6516: 
1.202     brouard  6517:   strcpy(filerespl,"PL_");
                   6518:   strcat(filerespl,fileresu);
                   6519:   if((ficrespl=fopen(filerespl,"w"))==NULL) {
                   6520:     printf("Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   6521:     fprintf(ficlog,"Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   6522:   }
                   6523:   printf("Computing period (stable) prevalence: result on file '%s' \n", filerespl);
                   6524:   fprintf(ficlog,"Computing period (stable) prevalence: result on file '%s' \n", filerespl);
                   6525:   pstamp(ficrespl);
1.203     brouard  6526:   fprintf(ficrespl,"# Period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.202     brouard  6527:   fprintf(ficrespl,"#Age ");
                   6528:   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   6529:   fprintf(ficrespl,"\n");
1.180     brouard  6530:   
                   6531:     /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   6532: 
                   6533:     agebase=ageminpar;
                   6534:     agelim=agemaxpar;
                   6535: 
                   6536:     i1=pow(2,cptcoveff);
                   6537:     if (cptcovn < 1){i1=1;}
                   6538: 
                   6539:     for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   6540:     /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
                   6541:       //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
                   6542:        k=k+1;
                   6543:        /* to clean */
1.198     brouard  6544:        //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
1.200     brouard  6545:        fprintf(ficrespl,"#******");
                   6546:        printf("#******");
                   6547:        fprintf(ficlog,"#******");
1.180     brouard  6548:        for(j=1;j<=cptcoveff;j++) {
1.198     brouard  6549:          fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   6550:          printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   6551:          fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.180     brouard  6552:        }
                   6553:        fprintf(ficrespl,"******\n");
                   6554:        printf("******\n");
                   6555:        fprintf(ficlog,"******\n");
                   6556: 
                   6557:        fprintf(ficrespl,"#Age ");
                   6558:        for(j=1;j<=cptcoveff;j++) {
1.200     brouard  6559:          fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.180     brouard  6560:        }
1.203     brouard  6561:        for(i=1; i<=nlstate;i++) fprintf(ficrespl,"  %d-%d   ",i,i);
                   6562:        fprintf(ficrespl,"Total Years_to_converge\n");
1.180     brouard  6563:        
                   6564:        for (age=agebase; age<=agelim; age++){
                   6565:        /* for (age=agebase; age<=agebase; age++){ */
1.203     brouard  6566:          prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyear, k);
1.180     brouard  6567:          fprintf(ficrespl,"%.0f ",age );
                   6568:          for(j=1;j<=cptcoveff;j++)
1.198     brouard  6569:            fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.203     brouard  6570:          tot=0.;
                   6571:          for(i=1; i<=nlstate;i++){
                   6572:            tot +=  prlim[i][i];
1.180     brouard  6573:            fprintf(ficrespl," %.5f", prlim[i][i]);
1.203     brouard  6574:          }
                   6575:          fprintf(ficrespl," %.3f %d\n", tot, *ncvyear);
1.180     brouard  6576:        } /* Age */
                   6577:        /* was end of cptcod */
                   6578:     } /* cptcov */
1.184     brouard  6579:        return 0;
1.180     brouard  6580: }
                   6581: 
                   6582: int hPijx(double *p, int bage, int fage){
                   6583:     /*------------- h Pij x at various ages ------------*/
                   6584: 
                   6585:   int stepsize;
                   6586:   int agelim;
                   6587:   int hstepm;
                   6588:   int nhstepm;
                   6589:   int h, i, i1, j, k;
                   6590: 
                   6591:   double agedeb;
                   6592:   double ***p3mat;
                   6593: 
1.201     brouard  6594:     strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
1.180     brouard  6595:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   6596:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   6597:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   6598:     }
                   6599:     printf("Computing pij: result on file '%s' \n", filerespij);
                   6600:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   6601:   
                   6602:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   6603:     /*if (stepm<=24) stepsize=2;*/
                   6604: 
                   6605:     agelim=AGESUP;
                   6606:     hstepm=stepsize*YEARM; /* Every year of age */
                   6607:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
                   6608: 
                   6609:     /* hstepm=1;   aff par mois*/
                   6610:     pstamp(ficrespij);
                   6611:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
                   6612:     i1= pow(2,cptcoveff);
1.183     brouard  6613:    /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   6614:    /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   6615:    /*          k=k+1;  */
                   6616:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   6617:       fprintf(ficrespij,"\n#****** ");
                   6618:       for(j=1;j<=cptcoveff;j++) 
1.198     brouard  6619:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.183     brouard  6620:       fprintf(ficrespij,"******\n");
                   6621:       
                   6622:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   6623:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6624:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6625:        
                   6626:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  6627:        
1.183     brouard  6628:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6629:        oldm=oldms;savm=savms;
                   6630:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   6631:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   6632:        for(i=1; i<=nlstate;i++)
                   6633:          for(j=1; j<=nlstate+ndeath;j++)
                   6634:            fprintf(ficrespij," %1d-%1d",i,j);
                   6635:        fprintf(ficrespij,"\n");
                   6636:        for (h=0; h<=nhstepm; h++){
                   6637:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   6638:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  6639:          for(i=1; i<=nlstate;i++)
                   6640:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  6641:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  6642:          fprintf(ficrespij,"\n");
                   6643:        }
1.183     brouard  6644:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6645:        fprintf(ficrespij,"\n");
                   6646:       }
1.180     brouard  6647:       /*}*/
                   6648:     }
1.184     brouard  6649:        return 0;
1.180     brouard  6650: }
                   6651: 
                   6652: 
1.136     brouard  6653: /***********************************************/
                   6654: /**************** Main Program *****************/
                   6655: /***********************************************/
                   6656: 
                   6657: int main(int argc, char *argv[])
                   6658: {
                   6659: #ifdef GSL
                   6660:   const gsl_multimin_fminimizer_type *T;
                   6661:   size_t iteri = 0, it;
                   6662:   int rval = GSL_CONTINUE;
                   6663:   int status = GSL_SUCCESS;
                   6664:   double ssval;
                   6665: #endif
                   6666:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.164     brouard  6667:   int i,j, k, n=MAXN,iter=0,m,size=100, cptcod;
1.203     brouard  6668:   int ncvyearnp=0;
                   6669:   int *ncvyear=&ncvyearnp; /* Number of years needed for the period prevalence to converge */
1.164     brouard  6670:   int jj, ll, li, lj, lk;
1.136     brouard  6671:   int numlinepar=0; /* Current linenumber of parameter file */
1.197     brouard  6672:   int num_filled;
1.136     brouard  6673:   int itimes;
                   6674:   int NDIM=2;
                   6675:   int vpopbased=0;
                   6676: 
1.164     brouard  6677:   char ca[32], cb[32];
1.136     brouard  6678:   /*  FILE *fichtm; *//* Html File */
                   6679:   /* FILE *ficgp;*/ /*Gnuplot File */
                   6680:   struct stat info;
1.191     brouard  6681:   double agedeb=0.;
1.194     brouard  6682: 
                   6683:   double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
1.136     brouard  6684: 
1.165     brouard  6685:   double fret;
1.191     brouard  6686:   double dum=0.; /* Dummy variable */
1.136     brouard  6687:   double ***p3mat;
                   6688:   double ***mobaverage;
1.164     brouard  6689: 
                   6690:   char line[MAXLINE];
1.197     brouard  6691:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
                   6692: 
                   6693:   char model[MAXLINE], modeltemp[MAXLINE];
1.136     brouard  6694:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  6695:   char *tok, *val; /* pathtot */
1.136     brouard  6696:   int firstobs=1, lastobs=10;
1.195     brouard  6697:   int c,  h , cpt, c2;
1.191     brouard  6698:   int jl=0;
                   6699:   int i1, j1, jk, stepsize=0;
1.194     brouard  6700:   int count=0;
                   6701: 
1.164     brouard  6702:   int *tab; 
1.136     brouard  6703:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
                   6704:   int mobilav=0,popforecast=0;
1.191     brouard  6705:   int hstepm=0, nhstepm=0;
1.136     brouard  6706:   int agemortsup;
                   6707:   float  sumlpop=0.;
                   6708:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   6709:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   6710: 
1.191     brouard  6711:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  6712:   double ftolpl=FTOL;
                   6713:   double **prlim;
                   6714:   double ***param; /* Matrix of parameters */
                   6715:   double  *p;
                   6716:   double **matcov; /* Matrix of covariance */
1.203     brouard  6717:   double **hess; /* Hessian matrix */
1.136     brouard  6718:   double ***delti3; /* Scale */
                   6719:   double *delti; /* Scale */
                   6720:   double ***eij, ***vareij;
                   6721:   double **varpl; /* Variances of prevalence limits by age */
                   6722:   double *epj, vepp;
1.164     brouard  6723: 
1.136     brouard  6724:   double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
                   6725:   double **ximort;
1.145     brouard  6726:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  6727:   int *dcwave;
                   6728: 
1.164     brouard  6729:   char z[1]="c";
1.136     brouard  6730: 
                   6731:   /*char  *strt;*/
                   6732:   char strtend[80];
1.126     brouard  6733: 
1.164     brouard  6734: 
1.126     brouard  6735: /*   setlocale (LC_ALL, ""); */
                   6736: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   6737: /*   textdomain (PACKAGE); */
                   6738: /*   setlocale (LC_CTYPE, ""); */
                   6739: /*   setlocale (LC_MESSAGES, ""); */
                   6740: 
                   6741:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  6742:   rstart_time = time(NULL);  
                   6743:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   6744:   start_time = *localtime(&rstart_time);
1.126     brouard  6745:   curr_time=start_time;
1.157     brouard  6746:   /*tml = *localtime(&start_time.tm_sec);*/
                   6747:   /* strcpy(strstart,asctime(&tml)); */
                   6748:   strcpy(strstart,asctime(&start_time));
1.126     brouard  6749: 
                   6750: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  6751: /*  tp.tm_sec = tp.tm_sec +86400; */
                   6752: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  6753: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   6754: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   6755: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  6756: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  6757: /*   strt=asctime(&tmg); */
                   6758: /*   printf("Time(after) =%s",strstart);  */
                   6759: /*  (void) time (&time_value);
                   6760: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   6761: *  tm = *localtime(&time_value);
                   6762: *  strstart=asctime(&tm);
                   6763: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   6764: */
                   6765: 
                   6766:   nberr=0; /* Number of errors and warnings */
                   6767:   nbwarn=0;
1.184     brouard  6768: #ifdef WIN32
                   6769:   _getcwd(pathcd, size);
                   6770: #else
1.126     brouard  6771:   getcwd(pathcd, size);
1.184     brouard  6772: #endif
1.191     brouard  6773:   syscompilerinfo(0);
1.196     brouard  6774:   printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
1.126     brouard  6775:   if(argc <=1){
                   6776:     printf("\nEnter the parameter file name: ");
1.205     brouard  6777:     if(!fgets(pathr,FILENAMELENGTH,stdin)){
                   6778:       printf("ERROR Empty parameter file name\n");
                   6779:       goto end;
                   6780:     }
1.126     brouard  6781:     i=strlen(pathr);
                   6782:     if(pathr[i-1]=='\n')
                   6783:       pathr[i-1]='\0';
1.156     brouard  6784:     i=strlen(pathr);
1.205     brouard  6785:     if(i >= 1 && pathr[i-1]==' ') {/* This may happen when dragging on oS/X! */
1.156     brouard  6786:       pathr[i-1]='\0';
1.205     brouard  6787:     }
                   6788:     i=strlen(pathr);
                   6789:     if( i==0 ){
                   6790:       printf("ERROR Empty parameter file name\n");
                   6791:       goto end;
                   6792:     }
                   6793:     for (tok = pathr; tok != NULL; ){
1.126     brouard  6794:       printf("Pathr |%s|\n",pathr);
                   6795:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   6796:       printf("val= |%s| pathr=%s\n",val,pathr);
                   6797:       strcpy (pathtot, val);
                   6798:       if(pathr[0] == '\0') break; /* Dirty */
                   6799:     }
                   6800:   }
                   6801:   else{
                   6802:     strcpy(pathtot,argv[1]);
                   6803:   }
                   6804:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   6805:   /*cygwin_split_path(pathtot,path,optionfile);
                   6806:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   6807:   /* cutv(path,optionfile,pathtot,'\\');*/
                   6808: 
                   6809:   /* Split argv[0], imach program to get pathimach */
                   6810:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   6811:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   6812:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   6813:  /*   strcpy(pathimach,argv[0]); */
                   6814:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   6815:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   6816:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  6817: #ifdef WIN32
                   6818:   _chdir(path); /* Can be a relative path */
                   6819:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   6820: #else
1.126     brouard  6821:   chdir(path); /* Can be a relative path */
1.184     brouard  6822:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   6823: #endif
                   6824:   printf("Current directory %s!\n",pathcd);
1.126     brouard  6825:   strcpy(command,"mkdir ");
                   6826:   strcat(command,optionfilefiname);
                   6827:   if((outcmd=system(command)) != 0){
1.169     brouard  6828:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  6829:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   6830:     /* fclose(ficlog); */
                   6831: /*     exit(1); */
                   6832:   }
                   6833: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   6834: /*     perror("mkdir"); */
                   6835: /*   } */
                   6836: 
                   6837:   /*-------- arguments in the command line --------*/
                   6838: 
1.186     brouard  6839:   /* Main Log file */
1.126     brouard  6840:   strcat(filelog, optionfilefiname);
                   6841:   strcat(filelog,".log");    /* */
                   6842:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   6843:     printf("Problem with logfile %s\n",filelog);
                   6844:     goto end;
                   6845:   }
                   6846:   fprintf(ficlog,"Log filename:%s\n",filelog);
1.197     brouard  6847:   fprintf(ficlog,"Version %s %s",version,fullversion);
1.126     brouard  6848:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   6849:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   6850:  path=%s \n\
                   6851:  optionfile=%s\n\
                   6852:  optionfilext=%s\n\
1.156     brouard  6853:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  6854: 
1.197     brouard  6855:   syscompilerinfo(1);
1.167     brouard  6856: 
1.126     brouard  6857:   printf("Local time (at start):%s",strstart);
                   6858:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   6859:   fflush(ficlog);
                   6860: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  6861: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  6862: 
                   6863:   /* */
                   6864:   strcpy(fileres,"r");
                   6865:   strcat(fileres, optionfilefiname);
1.201     brouard  6866:   strcat(fileresu, optionfilefiname); /* Without r in front */
1.126     brouard  6867:   strcat(fileres,".txt");    /* Other files have txt extension */
1.201     brouard  6868:   strcat(fileresu,".txt");    /* Other files have txt extension */
1.126     brouard  6869: 
1.186     brouard  6870:   /* Main ---------arguments file --------*/
1.126     brouard  6871: 
                   6872:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  6873:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   6874:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  6875:     fflush(ficlog);
1.149     brouard  6876:     /* goto end; */
                   6877:     exit(70); 
1.126     brouard  6878:   }
                   6879: 
                   6880: 
                   6881: 
                   6882:   strcpy(filereso,"o");
1.201     brouard  6883:   strcat(filereso,fileresu);
1.126     brouard  6884:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   6885:     printf("Problem with Output resultfile: %s\n", filereso);
                   6886:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   6887:     fflush(ficlog);
                   6888:     goto end;
                   6889:   }
                   6890: 
                   6891:   /* Reads comments: lines beginning with '#' */
                   6892:   numlinepar=0;
1.197     brouard  6893: 
                   6894:     /* First parameter line */
                   6895:   while(fgets(line, MAXLINE, ficpar)) {
                   6896:     /* If line starts with a # it is a comment */
                   6897:     if (line[0] == '#') {
                   6898:       numlinepar++;
                   6899:       fputs(line,stdout);
                   6900:       fputs(line,ficparo);
                   6901:       fputs(line,ficlog);
                   6902:       continue;
                   6903:     }else
                   6904:       break;
                   6905:   }
                   6906:   if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                   6907:                        title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
                   6908:     if (num_filled != 5) {
                   6909:       printf("Should be 5 parameters\n");
                   6910:     }
1.126     brouard  6911:     numlinepar++;
1.197     brouard  6912:     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   6913:   }
                   6914:   /* Second parameter line */
                   6915:   while(fgets(line, MAXLINE, ficpar)) {
                   6916:     /* If line starts with a # it is a comment */
                   6917:     if (line[0] == '#') {
                   6918:       numlinepar++;
                   6919:       fputs(line,stdout);
                   6920:       fputs(line,ficparo);
                   6921:       fputs(line,ficlog);
                   6922:       continue;
                   6923:     }else
                   6924:       break;
                   6925:   }
                   6926:   if((num_filled=sscanf(line,"ftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n", \
                   6927:                        &ftol, &stepm, &ncovcol, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
                   6928:     if (num_filled != 8) {
                   6929:       printf("Not 8\n");
                   6930:     }
                   6931:     printf("ftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n",ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt);
1.126     brouard  6932:   }
1.203     brouard  6933:   /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
                   6934:   ftolpl=6.e-3; /* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
1.197     brouard  6935:   /* Third parameter line */
                   6936:   while(fgets(line, MAXLINE, ficpar)) {
                   6937:     /* If line starts with a # it is a comment */
                   6938:     if (line[0] == '#') {
                   6939:       numlinepar++;
                   6940:       fputs(line,stdout);
                   6941:       fputs(line,ficparo);
                   6942:       fputs(line,ficlog);
                   6943:       continue;
                   6944:     }else
                   6945:       break;
                   6946:   }
1.201     brouard  6947:   if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){
                   6948:     if (num_filled == 0)
                   6949:             model[0]='\0';
                   6950:     else if (num_filled != 1){
1.197     brouard  6951:       printf("ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   6952:       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   6953:       model[0]='\0';
                   6954:       goto end;
                   6955:     }
                   6956:     else{
                   6957:       if (model[0]=='+'){
                   6958:        for(i=1; i<=strlen(model);i++)
                   6959:          modeltemp[i-1]=model[i];
1.201     brouard  6960:        strcpy(model,modeltemp); 
1.197     brouard  6961:       }
                   6962:     }
1.199     brouard  6963:     /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
1.203     brouard  6964:     printf("model=1+age+%s\n",model);fflush(stdout);
1.197     brouard  6965:   }
                   6966:   /* 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); */
                   6967:   /* numlinepar=numlinepar+3; /\* In general *\/ */
                   6968:   /* 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); */
1.203     brouard  6969:   fprintf(ficparo,"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);
                   6970:   fprintf(ficlog,"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);
1.126     brouard  6971:   fflush(ficlog);
1.190     brouard  6972:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   6973:   if(model[0]=='#'){
1.187     brouard  6974:     printf("Error in 'model' line: model should start with 'model=1+age+' and end with '.' \n \
                   6975:  'model=1+age+.' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age.' or \n \
                   6976:  'model=1+age+V1+V2.' or 'model=1+age+V1+V2+V1*V2.' etc. \n");         \
                   6977:     if(mle != -1){
                   6978:       printf("Fix the model line and run imach with mle=-1 to get a correct template of the parameter file.\n");
                   6979:       exit(1);
                   6980:     }
                   6981:   }
1.126     brouard  6982:   while((c=getc(ficpar))=='#' && c!= EOF){
                   6983:     ungetc(c,ficpar);
                   6984:     fgets(line, MAXLINE, ficpar);
                   6985:     numlinepar++;
1.195     brouard  6986:     if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
                   6987:       z[0]=line[1];
                   6988:     }
                   6989:     /* printf("****line [1] = %c \n",line[1]); */
1.141     brouard  6990:     fputs(line, stdout);
                   6991:     //puts(line);
1.126     brouard  6992:     fputs(line,ficparo);
                   6993:     fputs(line,ficlog);
                   6994:   }
                   6995:   ungetc(c,ficpar);
                   6996: 
                   6997:    
1.145     brouard  6998:   covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
1.136     brouard  6999:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   7000:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   7001:      v1+v2*age+v2*v3 makes cptcovn = 3
                   7002:   */
                   7003:   if (strlen(model)>1) 
1.187     brouard  7004:     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  7005:   else
1.187     brouard  7006:     ncovmodel=2; /* Constant and age */
1.133     brouard  7007:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   7008:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  7009:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   7010:     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);
                   7011:     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);
                   7012:     fflush(stdout);
                   7013:     fclose (ficlog);
                   7014:     goto end;
                   7015:   }
1.126     brouard  7016:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   7017:   delti=delti3[1][1];
                   7018:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   7019:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
                   7020:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191     brouard  7021:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
                   7022:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  7023:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   7024:     fclose (ficparo);
                   7025:     fclose (ficlog);
                   7026:     goto end;
                   7027:     exit(0);
                   7028:   }
1.186     brouard  7029:   else if(mle==-3) { /* Main Wizard */
1.126     brouard  7030:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.192     brouard  7031:     printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   7032:     fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  7033:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   7034:     matcov=matrix(1,npar,1,npar);
1.203     brouard  7035:     hess=matrix(1,npar,1,npar);
1.126     brouard  7036:   }
                   7037:   else{
1.145     brouard  7038:     /* Read guessed parameters */
1.126     brouard  7039:     /* Reads comments: lines beginning with '#' */
                   7040:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7041:       ungetc(c,ficpar);
                   7042:       fgets(line, MAXLINE, ficpar);
                   7043:       numlinepar++;
1.141     brouard  7044:       fputs(line,stdout);
1.126     brouard  7045:       fputs(line,ficparo);
                   7046:       fputs(line,ficlog);
                   7047:     }
                   7048:     ungetc(c,ficpar);
                   7049:     
                   7050:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   7051:     for(i=1; i <=nlstate; i++){
                   7052:       j=0;
                   7053:       for(jj=1; jj <=nlstate+ndeath; jj++){
                   7054:        if(jj==i) continue;
                   7055:        j++;
                   7056:        fscanf(ficpar,"%1d%1d",&i1,&j1);
1.193     brouard  7057:        if ((i1 != i) || (j1 != jj)){
1.126     brouard  7058:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
                   7059: It might be a problem of design; if ncovcol and the model are correct\n \
                   7060: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
                   7061:          exit(1);
                   7062:        }
                   7063:        fprintf(ficparo,"%1d%1d",i1,j1);
                   7064:        if(mle==1)
1.193     brouard  7065:          printf("%1d%1d",i,jj);
                   7066:        fprintf(ficlog,"%1d%1d",i,jj);
1.126     brouard  7067:        for(k=1; k<=ncovmodel;k++){
                   7068:          fscanf(ficpar," %lf",&param[i][j][k]);
                   7069:          if(mle==1){
                   7070:            printf(" %lf",param[i][j][k]);
                   7071:            fprintf(ficlog," %lf",param[i][j][k]);
                   7072:          }
                   7073:          else
                   7074:            fprintf(ficlog," %lf",param[i][j][k]);
                   7075:          fprintf(ficparo," %lf",param[i][j][k]);
                   7076:        }
                   7077:        fscanf(ficpar,"\n");
                   7078:        numlinepar++;
                   7079:        if(mle==1)
                   7080:          printf("\n");
                   7081:        fprintf(ficlog,"\n");
                   7082:        fprintf(ficparo,"\n");
                   7083:       }
                   7084:     }  
                   7085:     fflush(ficlog);
                   7086: 
1.145     brouard  7087:     /* Reads scales values */
1.126     brouard  7088:     p=param[1][1];
                   7089:     
                   7090:     /* Reads comments: lines beginning with '#' */
                   7091:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7092:       ungetc(c,ficpar);
                   7093:       fgets(line, MAXLINE, ficpar);
                   7094:       numlinepar++;
1.141     brouard  7095:       fputs(line,stdout);
1.126     brouard  7096:       fputs(line,ficparo);
                   7097:       fputs(line,ficlog);
                   7098:     }
                   7099:     ungetc(c,ficpar);
                   7100: 
                   7101:     for(i=1; i <=nlstate; i++){
                   7102:       for(j=1; j <=nlstate+ndeath-1; j++){
                   7103:        fscanf(ficpar,"%1d%1d",&i1,&j1);
1.164     brouard  7104:        if ( (i1-i) * (j1-j) != 0){
1.126     brouard  7105:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   7106:          exit(1);
                   7107:        }
                   7108:        printf("%1d%1d",i,j);
                   7109:        fprintf(ficparo,"%1d%1d",i1,j1);
                   7110:        fprintf(ficlog,"%1d%1d",i1,j1);
                   7111:        for(k=1; k<=ncovmodel;k++){
                   7112:          fscanf(ficpar,"%le",&delti3[i][j][k]);
                   7113:          printf(" %le",delti3[i][j][k]);
                   7114:          fprintf(ficparo," %le",delti3[i][j][k]);
                   7115:          fprintf(ficlog," %le",delti3[i][j][k]);
                   7116:        }
                   7117:        fscanf(ficpar,"\n");
                   7118:        numlinepar++;
                   7119:        printf("\n");
                   7120:        fprintf(ficparo,"\n");
                   7121:        fprintf(ficlog,"\n");
                   7122:       }
                   7123:     }
                   7124:     fflush(ficlog);
                   7125: 
1.145     brouard  7126:     /* Reads covariance matrix */
1.126     brouard  7127:     delti=delti3[1][1];
                   7128: 
                   7129: 
                   7130:     /* free_ma3x(delti3,1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */ /* Hasn't to to freed here otherwise delti is no more allocated */
                   7131:   
                   7132:     /* Reads comments: lines beginning with '#' */
                   7133:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7134:       ungetc(c,ficpar);
                   7135:       fgets(line, MAXLINE, ficpar);
                   7136:       numlinepar++;
1.141     brouard  7137:       fputs(line,stdout);
1.126     brouard  7138:       fputs(line,ficparo);
                   7139:       fputs(line,ficlog);
                   7140:     }
                   7141:     ungetc(c,ficpar);
                   7142:   
                   7143:     matcov=matrix(1,npar,1,npar);
1.203     brouard  7144:     hess=matrix(1,npar,1,npar);
1.131     brouard  7145:     for(i=1; i <=npar; i++)
                   7146:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
                   7147:       
1.194     brouard  7148:     /* Scans npar lines */
1.126     brouard  7149:     for(i=1; i <=npar; i++){
1.194     brouard  7150:       count=fscanf(ficpar,"%1d%1d%1d",&i1,&j1,&jk);
                   7151:       if(count != 3){
                   7152:        printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
                   7153: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   7154: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
                   7155:        fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
                   7156: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   7157: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
                   7158:        exit(1);
                   7159:       }else
1.126     brouard  7160:       if(mle==1)
1.194     brouard  7161:        printf("%1d%1d%1d",i1,j1,jk);
                   7162:       fprintf(ficlog,"%1d%1d%1d",i1,j1,jk);
                   7163:       fprintf(ficparo,"%1d%1d%1d",i1,j1,jk);
1.126     brouard  7164:       for(j=1; j <=i; j++){
                   7165:        fscanf(ficpar," %le",&matcov[i][j]);
                   7166:        if(mle==1){
                   7167:          printf(" %.5le",matcov[i][j]);
                   7168:        }
                   7169:        fprintf(ficlog," %.5le",matcov[i][j]);
                   7170:        fprintf(ficparo," %.5le",matcov[i][j]);
                   7171:       }
                   7172:       fscanf(ficpar,"\n");
                   7173:       numlinepar++;
                   7174:       if(mle==1)
                   7175:        printf("\n");
                   7176:       fprintf(ficlog,"\n");
                   7177:       fprintf(ficparo,"\n");
                   7178:     }
1.194     brouard  7179:     /* End of read covariance matrix npar lines */
1.126     brouard  7180:     for(i=1; i <=npar; i++)
                   7181:       for(j=i+1;j<=npar;j++)
                   7182:        matcov[i][j]=matcov[j][i];
                   7183:     
                   7184:     if(mle==1)
                   7185:       printf("\n");
                   7186:     fprintf(ficlog,"\n");
                   7187:     
                   7188:     fflush(ficlog);
                   7189:     
                   7190:     /*-------- Rewriting parameter file ----------*/
                   7191:     strcpy(rfileres,"r");    /* "Rparameterfile */
                   7192:     strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
                   7193:     strcat(rfileres,".");    /* */
                   7194:     strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   7195:     if((ficres =fopen(rfileres,"w"))==NULL) {
1.201     brouard  7196:       printf("Problem writing new parameter file: %s\n", rfileres);goto end;
                   7197:       fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
1.126     brouard  7198:     }
                   7199:     fprintf(ficres,"#%s\n",version);
                   7200:   }    /* End of mle != -3 */
                   7201: 
1.186     brouard  7202:   /*  Main data
                   7203:    */
1.126     brouard  7204:   n= lastobs;
                   7205:   num=lvector(1,n);
                   7206:   moisnais=vector(1,n);
                   7207:   annais=vector(1,n);
                   7208:   moisdc=vector(1,n);
                   7209:   andc=vector(1,n);
                   7210:   agedc=vector(1,n);
                   7211:   cod=ivector(1,n);
                   7212:   weight=vector(1,n);
                   7213:   for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */
                   7214:   mint=matrix(1,maxwav,1,n);
                   7215:   anint=matrix(1,maxwav,1,n);
1.131     brouard  7216:   s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  7217:   tab=ivector(1,NCOVMAX);
1.144     brouard  7218:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.192     brouard  7219:   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  7220: 
1.136     brouard  7221:   /* Reads data from file datafile */
                   7222:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   7223:     goto end;
                   7224: 
                   7225:   /* Calculation of the number of parameters from char model */
1.137     brouard  7226:     /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
                   7227:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   7228:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   7229:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   7230:        k=1 Tvar[1]=2 (from V2)
                   7231:     */
                   7232:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
                   7233:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   7234:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   7235:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   7236:   */
                   7237:   /* For model-covariate k tells which data-covariate to use but
                   7238:     because this model-covariate is a construction we invent a new column
                   7239:     ncovcol + k1
                   7240:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   7241:     Tvar[3=V1*V4]=4+1 etc */
1.145     brouard  7242:   Tprod=ivector(1,NCOVMAX); /* Gives the position of a product */
1.137     brouard  7243:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   7244:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
                   7245:   */
1.145     brouard  7246:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   7247:   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  7248:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   7249:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  7250:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  7251:                         4 covariates (3 plus signs)
                   7252:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   7253:                      */  
1.136     brouard  7254: 
1.186     brouard  7255: /* Main decodemodel */
                   7256: 
1.187     brouard  7257: 
1.136     brouard  7258:   if(decodemodel(model, lastobs) == 1)
                   7259:     goto end;
                   7260: 
1.137     brouard  7261:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   7262:     nbwarn++;
                   7263:     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); 
                   7264:     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); 
                   7265:   }
1.136     brouard  7266:     /*  if(mle==1){*/
1.137     brouard  7267:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   7268:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  7269:   }
                   7270: 
                   7271:     /*-calculation of age at interview from date of interview and age at death -*/
                   7272:   agev=matrix(1,maxwav,1,imx);
                   7273: 
                   7274:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   7275:     goto end;
                   7276: 
1.126     brouard  7277: 
1.136     brouard  7278:   agegomp=(int)agemin;
                   7279:   free_vector(moisnais,1,n);
                   7280:   free_vector(annais,1,n);
1.126     brouard  7281:   /* free_matrix(mint,1,maxwav,1,n);
                   7282:      free_matrix(anint,1,maxwav,1,n);*/
                   7283:   free_vector(moisdc,1,n);
                   7284:   free_vector(andc,1,n);
1.145     brouard  7285:   /* */
                   7286:   
1.126     brouard  7287:   wav=ivector(1,imx);
                   7288:   dh=imatrix(1,lastpass-firstpass+1,1,imx);
                   7289:   bh=imatrix(1,lastpass-firstpass+1,1,imx);
                   7290:   mw=imatrix(1,lastpass-firstpass+1,1,imx);
                   7291:    
                   7292:   /* Concatenates waves */
                   7293:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.145     brouard  7294:   /* */
                   7295:  
1.126     brouard  7296:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   7297: 
                   7298:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   7299:   ncodemax[1]=1;
1.145     brouard  7300:   Ndum =ivector(-1,NCOVMAX);  
1.187     brouard  7301:   if (ncovmodel-nagesqr > 2 ) /* That is if covariate other than cst, age and age*age */
1.145     brouard  7302:     tricode(Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
1.186     brouard  7303:   /* Nbcode gives the value of the lth modality of jth covariate, in
                   7304:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
                   7305:   /* 1 to ncodemax[j] is the maximum value of this jth covariate */
1.145     brouard  7306: 
1.200     brouard  7307:   /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
1.198     brouard  7308:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
1.186     brouard  7309:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.145     brouard  7310:   h=0;
                   7311: 
                   7312: 
                   7313:   /*if (cptcovn > 0) */
1.126     brouard  7314:       
1.145     brouard  7315:  
1.126     brouard  7316:   m=pow(2,cptcoveff);
                   7317:  
1.144     brouard  7318:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.186     brouard  7319:           * For k=4 covariates, h goes from 1 to 2**k
                   7320:           * codtabm(h,k)=  1 & (h-1) >> (k-1) ;
                   7321:           *     h\k   1     2     3     4
1.143     brouard  7322:           *______________________________  
                   7323:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   7324:           *     2     2     1     1     1
                   7325:           *     3 i=2 1     2     1     1
                   7326:           *     4     2     2     1     1
                   7327:           *     5 i=3 1 i=2 1     2     1
                   7328:           *     6     2     1     2     1
                   7329:           *     7 i=4 1     2     2     1
                   7330:           *     8     2     2     2     1
1.197     brouard  7331:           *     9 i=5 1 i=3 1 i=2 1     2
                   7332:           *    10     2     1     1     2
                   7333:           *    11 i=6 1     2     1     2
                   7334:           *    12     2     2     1     2
                   7335:           *    13 i=7 1 i=4 1     2     2    
                   7336:           *    14     2     1     2     2
                   7337:           *    15 i=8 1     2     2     2
                   7338:           *    16     2     2     2     2
1.143     brouard  7339:           */
1.202     brouard  7340:   /* /\* for(h=1; h <=100 ;h++){  *\/ */
                   7341:   /*   /\* printf("h=%2d ", h); *\/ */
                   7342:   /*    /\* for(k=1; k <=10; k++){ *\/ */
                   7343:   /*      /\* printf("k=%d %d ",k,codtabm(h,k)); *\/ */
                   7344:   /*    /\*   codtab[h][k]=codtabm(h,k); *\/ */
                   7345:   /*    /\* } *\/ */
                   7346:   /*    /\* printf("\n"); *\/ */
                   7347:   /* } */
1.197     brouard  7348:   /* for(k=1;k<=cptcoveff; k++){ /\* scans any effective covariate *\/ */
                   7349:   /*   for(i=1; i <=pow(2,cptcoveff-k);i++){ /\* i=1 to 8/1=8; i=1 to 8/2=4; i=1 to 8/8=1 *\/  */
                   7350:   /*     for(j=1; j <= ncodemax[k]; j++){ /\* For each modality of this covariate ncodemax=2*\/ */
                   7351:   /*   for(cpt=1; cpt <=pow(2,k-1); cpt++){  /\* cpt=1 to 8/2**(3+1-1 or 3+1-3) =1 or 4 *\/  */
                   7352:   /*     h++; */
                   7353:   /*     if (h>m)  */
                   7354:   /*       h=1; */
                   7355:   /*     codtab[h][k]=j; */
                   7356:   /*     /\* codtab[12][3]=1; *\/ */
                   7357:   /*     /\*codtab[h][Tvar[k]]=j;*\/ */
                   7358:   /*     /\* printf("h=%d k=%d j=%d codtab[h][k]=%d Tvar[k]=%d codtab[h][Tvar[k]]=%d \n",h, k,j,codtab[h][k],Tvar[k],codtab[h][Tvar[k]]); *\/ */
                   7359:   /*   }  */
                   7360:   /*     } */
                   7361:   /*   } */
                   7362:   /* }  */
1.126     brouard  7363:   /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]); 
                   7364:      codtab[1][2]=1;codtab[2][2]=2; */
1.197     brouard  7365:   /* for(i=1; i <=m ;i++){  */
                   7366:   /*    for(k=1; k <=cptcovn; k++){ */
                   7367:   /*      printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff); */
                   7368:   /*    } */
                   7369:   /*    printf("\n"); */
                   7370:   /* } */
                   7371:   /*   scanf("%d",i);*/
1.145     brouard  7372: 
                   7373:  free_ivector(Ndum,-1,NCOVMAX);
                   7374: 
                   7375: 
1.126     brouard  7376:     
1.186     brouard  7377:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  7378:   strcpy(optionfilegnuplot,optionfilefiname);
                   7379:   if(mle==-3)
1.201     brouard  7380:     strcat(optionfilegnuplot,"-MORT_");
1.126     brouard  7381:   strcat(optionfilegnuplot,".gp");
                   7382: 
                   7383:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   7384:     printf("Problem with file %s",optionfilegnuplot);
                   7385:   }
                   7386:   else{
1.204     brouard  7387:     fprintf(ficgp,"\n# IMaCh-%s\n", version); 
1.126     brouard  7388:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  7389:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   7390:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  7391:   }
                   7392:   /*  fclose(ficgp);*/
1.186     brouard  7393: 
                   7394: 
                   7395:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  7396: 
                   7397:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   7398:   if(mle==-3)
1.201     brouard  7399:     strcat(optionfilehtm,"-MORT_");
1.126     brouard  7400:   strcat(optionfilehtm,".htm");
                   7401:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  7402:     printf("Problem with %s \n",optionfilehtm);
                   7403:     exit(0);
1.126     brouard  7404:   }
                   7405: 
                   7406:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   7407:   strcat(optionfilehtmcov,"-cov.htm");
                   7408:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   7409:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   7410:   }
                   7411:   else{
                   7412:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   7413: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  7414: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.126     brouard  7415:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   7416:   }
                   7417: 
1.204     brouard  7418:   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-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</a></font><br>  \
                   7419: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   7420: <font size=\"2\">IMaCh-%s <br> %s</font> \
1.126     brouard  7421: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  7422: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n\
1.126     brouard  7423: \n\
                   7424: <hr  size=\"2\" color=\"#EC5E5E\">\
                   7425:  <ul><li><h4>Parameter files</h4>\n\
                   7426:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   7427:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   7428:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   7429:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   7430:  - Date and time at start: %s</ul>\n",\
                   7431:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   7432:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   7433:          fileres,fileres,\
                   7434:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   7435:   fflush(fichtm);
                   7436: 
                   7437:   strcpy(pathr,path);
                   7438:   strcat(pathr,optionfilefiname);
1.184     brouard  7439: #ifdef WIN32
                   7440:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   7441: #else
1.126     brouard  7442:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  7443: #endif
                   7444:          
1.126     brouard  7445:   
                   7446:   /* Calculates basic frequencies. Computes observed prevalence at single age
                   7447:      and prints on file fileres'p'. */
                   7448:   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart);
                   7449: 
                   7450:   fprintf(fichtm,"\n");
                   7451:   fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
                   7452: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   7453: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
                   7454:          imx,agemin,agemax,jmin,jmax,jmean);
                   7455:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7456:     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7457:     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7458:     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7459:     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
                   7460:     
                   7461:    
                   7462:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   7463:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   7464:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   7465: 
                   7466:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  7467:   /* For mortality only */
1.126     brouard  7468:   if (mle==-3){
1.136     brouard  7469:     ximort=matrix(1,NDIM,1,NDIM); 
1.186     brouard  7470:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.126     brouard  7471:     cens=ivector(1,n);
                   7472:     ageexmed=vector(1,n);
                   7473:     agecens=vector(1,n);
                   7474:     dcwave=ivector(1,n);
                   7475:  
                   7476:     for (i=1; i<=imx; i++){
                   7477:       dcwave[i]=-1;
                   7478:       for (m=firstpass; m<=lastpass; m++)
                   7479:        if (s[m][i]>nlstate) {
                   7480:          dcwave[i]=m;
                   7481:          /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
                   7482:          break;
                   7483:        }
                   7484:     }
                   7485: 
                   7486:     for (i=1; i<=imx; i++) {
                   7487:       if (wav[i]>0){
                   7488:        ageexmed[i]=agev[mw[1][i]][i];
                   7489:        j=wav[i];
                   7490:        agecens[i]=1.; 
                   7491: 
                   7492:        if (ageexmed[i]> 1 && wav[i] > 0){
                   7493:          agecens[i]=agev[mw[j][i]][i];
                   7494:          cens[i]= 1;
                   7495:        }else if (ageexmed[i]< 1) 
                   7496:          cens[i]= -1;
                   7497:        if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
                   7498:          cens[i]=0 ;
                   7499:       }
                   7500:       else cens[i]=-1;
                   7501:     }
                   7502:     
                   7503:     for (i=1;i<=NDIM;i++) {
                   7504:       for (j=1;j<=NDIM;j++)
                   7505:        ximort[i][j]=(i == j ? 1.0 : 0.0);
                   7506:     }
                   7507:     
1.145     brouard  7508:     /*p[1]=0.0268; p[NDIM]=0.083;*/
1.126     brouard  7509:     /*printf("%lf %lf", p[1], p[2]);*/
                   7510:     
                   7511:     
1.136     brouard  7512: #ifdef GSL
                   7513:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  7514: #else
1.126     brouard  7515:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  7516: #endif
1.201     brouard  7517:     strcpy(filerespow,"POW-MORT_"); 
                   7518:     strcat(filerespow,fileresu);
1.126     brouard  7519:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   7520:       printf("Problem with resultfile: %s\n", filerespow);
                   7521:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   7522:     }
1.136     brouard  7523: #ifdef GSL
                   7524:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  7525: #else
1.126     brouard  7526:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  7527: #endif
1.126     brouard  7528:     /*  for (i=1;i<=nlstate;i++)
                   7529:        for(j=1;j<=nlstate+ndeath;j++)
                   7530:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   7531:     */
                   7532:     fprintf(ficrespow,"\n");
1.136     brouard  7533: #ifdef GSL
                   7534:     /* gsl starts here */ 
                   7535:     T = gsl_multimin_fminimizer_nmsimplex;
                   7536:     gsl_multimin_fminimizer *sfm = NULL;
                   7537:     gsl_vector *ss, *x;
                   7538:     gsl_multimin_function minex_func;
                   7539: 
                   7540:     /* Initial vertex size vector */
                   7541:     ss = gsl_vector_alloc (NDIM);
                   7542:     
                   7543:     if (ss == NULL){
                   7544:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   7545:     }
                   7546:     /* Set all step sizes to 1 */
                   7547:     gsl_vector_set_all (ss, 0.001);
                   7548: 
                   7549:     /* Starting point */
1.126     brouard  7550:     
1.136     brouard  7551:     x = gsl_vector_alloc (NDIM);
                   7552:     
                   7553:     if (x == NULL){
                   7554:       gsl_vector_free(ss);
                   7555:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   7556:     }
                   7557:   
                   7558:     /* Initialize method and iterate */
                   7559:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  7560:     /*     gsl_vector_set(x, 0, 0.0268); */
                   7561:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  7562:     gsl_vector_set(x, 0, p[1]);
                   7563:     gsl_vector_set(x, 1, p[2]);
                   7564: 
                   7565:     minex_func.f = &gompertz_f;
                   7566:     minex_func.n = NDIM;
                   7567:     minex_func.params = (void *)&p; /* ??? */
                   7568:     
                   7569:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   7570:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   7571:     
                   7572:     printf("Iterations beginning .....\n\n");
                   7573:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   7574: 
                   7575:     iteri=0;
                   7576:     while (rval == GSL_CONTINUE){
                   7577:       iteri++;
                   7578:       status = gsl_multimin_fminimizer_iterate(sfm);
                   7579:       
                   7580:       if (status) printf("error: %s\n", gsl_strerror (status));
                   7581:       fflush(0);
                   7582:       
                   7583:       if (status) 
                   7584:         break;
                   7585:       
                   7586:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   7587:       ssval = gsl_multimin_fminimizer_size (sfm);
                   7588:       
                   7589:       if (rval == GSL_SUCCESS)
                   7590:         printf ("converged to a local maximum at\n");
                   7591:       
                   7592:       printf("%5d ", iteri);
                   7593:       for (it = 0; it < NDIM; it++){
                   7594:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   7595:       }
                   7596:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   7597:     }
                   7598:     
                   7599:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   7600:     
                   7601:     gsl_vector_free(x); /* initial values */
                   7602:     gsl_vector_free(ss); /* inital step size */
                   7603:     for (it=0; it<NDIM; it++){
                   7604:       p[it+1]=gsl_vector_get(sfm->x,it);
                   7605:       fprintf(ficrespow," %.12lf", p[it]);
                   7606:     }
                   7607:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   7608: #endif
                   7609: #ifdef POWELL
                   7610:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   7611: #endif  
1.126     brouard  7612:     fclose(ficrespow);
                   7613:     
1.203     brouard  7614:     hesscov(matcov, hess, p, NDIM, delti, 1e-4, gompertz); 
1.126     brouard  7615: 
                   7616:     for(i=1; i <=NDIM; i++)
                   7617:       for(j=i+1;j<=NDIM;j++)
                   7618:        matcov[i][j]=matcov[j][i];
                   7619:     
                   7620:     printf("\nCovariance matrix\n ");
1.203     brouard  7621:     fprintf(ficlog,"\nCovariance matrix\n ");
1.126     brouard  7622:     for(i=1; i <=NDIM; i++) {
                   7623:       for(j=1;j<=NDIM;j++){ 
                   7624:        printf("%f ",matcov[i][j]);
1.203     brouard  7625:        fprintf(ficlog,"%f ",matcov[i][j]);
1.126     brouard  7626:       }
1.203     brouard  7627:       printf("\n ");  fprintf(ficlog,"\n ");
1.126     brouard  7628:     }
                   7629:     
                   7630:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
1.193     brouard  7631:     for (i=1;i<=NDIM;i++) {
1.126     brouard  7632:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.193     brouard  7633:       fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   7634:     }
1.126     brouard  7635:     lsurv=vector(1,AGESUP);
                   7636:     lpop=vector(1,AGESUP);
                   7637:     tpop=vector(1,AGESUP);
                   7638:     lsurv[agegomp]=100000;
                   7639:     
                   7640:     for (k=agegomp;k<=AGESUP;k++) {
                   7641:       agemortsup=k;
                   7642:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   7643:     }
                   7644:     
                   7645:     for (k=agegomp;k<agemortsup;k++)
                   7646:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   7647:     
                   7648:     for (k=agegomp;k<agemortsup;k++){
                   7649:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   7650:       sumlpop=sumlpop+lpop[k];
                   7651:     }
                   7652:     
                   7653:     tpop[agegomp]=sumlpop;
                   7654:     for (k=agegomp;k<(agemortsup-3);k++){
                   7655:       /*  tpop[k+1]=2;*/
                   7656:       tpop[k+1]=tpop[k]-lpop[k];
                   7657:     }
                   7658:     
                   7659:     
                   7660:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   7661:     for (k=agegomp;k<(agemortsup-2);k++) 
                   7662:       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]);
                   7663:     
                   7664:     
                   7665:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  7666:     if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
                   7667:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   7668: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   7669: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   7670:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   7671: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   7672: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   7673:     }else
1.201     brouard  7674:       printinggnuplotmort(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
                   7675:     printinghtmlmort(fileresu,title,datafile, firstpass, lastpass, \
1.126     brouard  7676:                     stepm, weightopt,\
                   7677:                     model,imx,p,matcov,agemortsup);
                   7678:     
                   7679:     free_vector(lsurv,1,AGESUP);
                   7680:     free_vector(lpop,1,AGESUP);
                   7681:     free_vector(tpop,1,AGESUP);
1.136     brouard  7682: #ifdef GSL
                   7683:     free_ivector(cens,1,n);
                   7684:     free_vector(agecens,1,n);
                   7685:     free_ivector(dcwave,1,n);
                   7686:     free_matrix(ximort,1,NDIM,1,NDIM);
                   7687: #endif
1.186     brouard  7688:   } /* Endof if mle==-3 mortality only */
1.205     brouard  7689:   /* Standard  */
                   7690:   else{ /* For mle !=- 3, could be 0 or 1 or 4 etc. */
                   7691:     globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   7692:     /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
1.132     brouard  7693:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  7694:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   7695:     for (k=1; k<=npar;k++)
                   7696:       printf(" %d %8.5f",k,p[k]);
                   7697:     printf("\n");
1.205     brouard  7698:     if(mle>=1){ /* Could be 1 or 2, Real Maximization */
                   7699:       /* mlikeli uses func not funcone */
                   7700:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
                   7701:     }
                   7702:     if(mle==0) {/* No optimization, will print the likelihoods for the datafile */
                   7703:       globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   7704:       /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
                   7705:       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   7706:     }
                   7707:     globpr=1; /* again, to print the individual contributions using computed gpimx and gsw */
1.126     brouard  7708:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   7709:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   7710:     for (k=1; k<=npar;k++)
                   7711:       printf(" %d %8.5f",k,p[k]);
                   7712:     printf("\n");
                   7713:     
                   7714:     /*--------- results files --------------*/
1.192     brouard  7715:     fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle= 0 weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate, ndeath, maxwav, weightopt,model);
1.126     brouard  7716:     
                   7717:     
                   7718:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7719:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7720:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7721:     for(i=1,jk=1; i <=nlstate; i++){
                   7722:       for(k=1; k <=(nlstate+ndeath); k++){
                   7723:        if (k != i) {
                   7724:          printf("%d%d ",i,k);
                   7725:          fprintf(ficlog,"%d%d ",i,k);
                   7726:          fprintf(ficres,"%1d%1d ",i,k);
                   7727:          for(j=1; j <=ncovmodel; j++){
1.190     brouard  7728:            printf("%12.7f ",p[jk]);
                   7729:            fprintf(ficlog,"%12.7f ",p[jk]);
                   7730:            fprintf(ficres,"%12.7f ",p[jk]);
1.126     brouard  7731:            jk++; 
                   7732:          }
                   7733:          printf("\n");
                   7734:          fprintf(ficlog,"\n");
                   7735:          fprintf(ficres,"\n");
                   7736:        }
                   7737:       }
                   7738:     }
1.203     brouard  7739:     if(mle != 0){
                   7740:       /* Computing hessian and covariance matrix only at a peak of the Likelihood, that is after optimization */
1.126     brouard  7741:       ftolhess=ftol; /* Usually correct */
1.203     brouard  7742:       hesscov(matcov, hess, p, npar, delti, ftolhess, func);
                   7743:       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");
                   7744:       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");
                   7745:       for(i=1,jk=1; i <=nlstate; i++){
                   7746:        for(k=1; k <=(nlstate+ndeath); k++){
                   7747:          if (k != i) {
                   7748:            printf("%d%d ",i,k);
                   7749:            fprintf(ficlog,"%d%d ",i,k);
                   7750:            for(j=1; j <=ncovmodel; j++){
                   7751:              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]));
                   7752:              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]));
                   7753:              jk++; 
                   7754:            }
                   7755:            printf("\n");
                   7756:            fprintf(ficlog,"\n");
1.193     brouard  7757:          }
                   7758:        }
                   7759:       }
1.203     brouard  7760:     } /* end of hesscov and Wald tests */
1.193     brouard  7761: 
1.203     brouard  7762:     /*  */
1.126     brouard  7763:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   7764:     printf("# Scales (for hessian or gradient estimation)\n");
                   7765:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   7766:     for(i=1,jk=1; i <=nlstate; i++){
                   7767:       for(j=1; j <=nlstate+ndeath; j++){
                   7768:        if (j!=i) {
                   7769:          fprintf(ficres,"%1d%1d",i,j);
                   7770:          printf("%1d%1d",i,j);
                   7771:          fprintf(ficlog,"%1d%1d",i,j);
                   7772:          for(k=1; k<=ncovmodel;k++){
                   7773:            printf(" %.5e",delti[jk]);
                   7774:            fprintf(ficlog," %.5e",delti[jk]);
                   7775:            fprintf(ficres," %.5e",delti[jk]);
                   7776:            jk++;
                   7777:          }
                   7778:          printf("\n");
                   7779:          fprintf(ficlog,"\n");
                   7780:          fprintf(ficres,"\n");
                   7781:        }
                   7782:       }
                   7783:     }
                   7784:     
                   7785:     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  7786:     if(mle >= 1) /* To big for the screen */
1.126     brouard  7787:       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");
                   7788:     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");
                   7789:     /* # 121 Var(a12)\n\ */
                   7790:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   7791:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   7792:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   7793:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   7794:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   7795:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   7796:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   7797:     
                   7798:     
                   7799:     /* Just to have a covariance matrix which will be more understandable
                   7800:        even is we still don't want to manage dictionary of variables
                   7801:     */
                   7802:     for(itimes=1;itimes<=2;itimes++){
                   7803:       jj=0;
                   7804:       for(i=1; i <=nlstate; i++){
                   7805:        for(j=1; j <=nlstate+ndeath; j++){
                   7806:          if(j==i) continue;
                   7807:          for(k=1; k<=ncovmodel;k++){
                   7808:            jj++;
                   7809:            ca[0]= k+'a'-1;ca[1]='\0';
                   7810:            if(itimes==1){
                   7811:              if(mle>=1)
                   7812:                printf("#%1d%1d%d",i,j,k);
                   7813:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
                   7814:              fprintf(ficres,"#%1d%1d%d",i,j,k);
                   7815:            }else{
                   7816:              if(mle>=1)
                   7817:                printf("%1d%1d%d",i,j,k);
                   7818:              fprintf(ficlog,"%1d%1d%d",i,j,k);
                   7819:              fprintf(ficres,"%1d%1d%d",i,j,k);
                   7820:            }
                   7821:            ll=0;
                   7822:            for(li=1;li <=nlstate; li++){
                   7823:              for(lj=1;lj <=nlstate+ndeath; lj++){
                   7824:                if(lj==li) continue;
                   7825:                for(lk=1;lk<=ncovmodel;lk++){
                   7826:                  ll++;
                   7827:                  if(ll<=jj){
                   7828:                    cb[0]= lk +'a'-1;cb[1]='\0';
                   7829:                    if(ll<jj){
                   7830:                      if(itimes==1){
                   7831:                        if(mle>=1)
                   7832:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7833:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7834:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7835:                      }else{
                   7836:                        if(mle>=1)
                   7837:                          printf(" %.5e",matcov[jj][ll]); 
                   7838:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   7839:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   7840:                      }
                   7841:                    }else{
                   7842:                      if(itimes==1){
                   7843:                        if(mle>=1)
                   7844:                          printf(" Var(%s%1d%1d)",ca,i,j);
                   7845:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                   7846:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                   7847:                      }else{
                   7848:                        if(mle>=1)
1.203     brouard  7849:                          printf(" %.7e",matcov[jj][ll]); 
                   7850:                        fprintf(ficlog," %.7e",matcov[jj][ll]); 
                   7851:                        fprintf(ficres," %.7e",matcov[jj][ll]); 
1.126     brouard  7852:                      }
                   7853:                    }
                   7854:                  }
                   7855:                } /* end lk */
                   7856:              } /* end lj */
                   7857:            } /* end li */
                   7858:            if(mle>=1)
                   7859:              printf("\n");
                   7860:            fprintf(ficlog,"\n");
                   7861:            fprintf(ficres,"\n");
                   7862:            numlinepar++;
                   7863:          } /* end k*/
                   7864:        } /*end j */
                   7865:       } /* end i */
                   7866:     } /* end itimes */
                   7867:     
                   7868:     fflush(ficlog);
                   7869:     fflush(ficres);
                   7870:     
                   7871:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7872:       ungetc(c,ficpar);
                   7873:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7874:       fputs(line,stdout);
1.126     brouard  7875:       fputs(line,ficparo);
                   7876:     }
                   7877:     ungetc(c,ficpar);
                   7878:     
                   7879:     estepm=0;
                   7880:     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);
                   7881:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   7882:     if (fage <= 2) {
                   7883:       bage = ageminpar;
                   7884:       fage = agemaxpar;
                   7885:     }
                   7886:     
                   7887:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
                   7888:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
                   7889:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
1.186     brouard  7890: 
                   7891:     /* Other stuffs, more or less useful */    
1.126     brouard  7892:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7893:       ungetc(c,ficpar);
                   7894:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7895:       fputs(line,stdout);
1.126     brouard  7896:       fputs(line,ficparo);
                   7897:     }
                   7898:     ungetc(c,ficpar);
                   7899:     
                   7900:     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);
                   7901:     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);
                   7902:     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);
                   7903:     printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   7904:     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);
                   7905:     
                   7906:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7907:       ungetc(c,ficpar);
                   7908:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7909:       fputs(line,stdout);
1.126     brouard  7910:       fputs(line,ficparo);
                   7911:     }
                   7912:     ungetc(c,ficpar);
                   7913:     
                   7914:     
                   7915:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   7916:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   7917:     
                   7918:     fscanf(ficpar,"pop_based=%d\n",&popbased);
1.193     brouard  7919:     fprintf(ficlog,"pop_based=%d\n",popbased);
1.126     brouard  7920:     fprintf(ficparo,"pop_based=%d\n",popbased);   
                   7921:     fprintf(ficres,"pop_based=%d\n",popbased);   
                   7922:     
                   7923:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7924:       ungetc(c,ficpar);
                   7925:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7926:       fputs(line,stdout);
1.126     brouard  7927:       fputs(line,ficparo);
                   7928:     }
                   7929:     ungetc(c,ficpar);
                   7930:     
                   7931:     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);
                   7932:     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);
                   7933:     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);
                   7934:     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);
                   7935:     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);
                   7936:     /* day and month of proj2 are not used but only year anproj2.*/
                   7937:     
                   7938:     
                   7939:     
1.145     brouard  7940:      /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
                   7941:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  7942:     
                   7943:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  7944:     if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
                   7945:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   7946: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   7947: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   7948:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   7949: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   7950: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   7951:     }else
1.201     brouard  7952:       printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
1.126     brouard  7953:     
1.201     brouard  7954:     printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt,\
1.126     brouard  7955:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,\
                   7956:                 jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);
                   7957:       
                   7958:    /*------------ free_vector  -------------*/
                   7959:    /*  chdir(path); */
                   7960:  
                   7961:     free_ivector(wav,1,imx);
                   7962:     free_imatrix(dh,1,lastpass-firstpass+1,1,imx);
                   7963:     free_imatrix(bh,1,lastpass-firstpass+1,1,imx);
                   7964:     free_imatrix(mw,1,lastpass-firstpass+1,1,imx);   
                   7965:     free_lvector(num,1,n);
                   7966:     free_vector(agedc,1,n);
                   7967:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   7968:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   7969:     fclose(ficparo);
                   7970:     fclose(ficres);
                   7971: 
                   7972: 
1.186     brouard  7973:     /* Other results (useful)*/
                   7974: 
                   7975: 
1.126     brouard  7976:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  7977:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   7978:     prlim=matrix(1,nlstate,1,nlstate);
1.203     brouard  7979:     prevalence_limit(p, prlim,  ageminpar, agemaxpar, ftolpl, ncvyear);
1.126     brouard  7980:     fclose(ficrespl);
                   7981: 
1.145     brouard  7982: #ifdef FREEEXIT2
                   7983: #include "freeexit2.h"
                   7984: #endif
                   7985: 
1.126     brouard  7986:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  7987:     /*#include "hpijx.h"*/
                   7988:     hPijx(p, bage, fage);
1.145     brouard  7989:     fclose(ficrespij);
1.126     brouard  7990: 
1.145     brouard  7991:   /*-------------- Variance of one-step probabilities---*/
                   7992:     k=1;
1.126     brouard  7993:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
                   7994: 
                   7995: 
                   7996:     probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   7997:     for(i=1;i<=AGESUP;i++)
                   7998:       for(j=1;j<=NCOVMAX;j++)
                   7999:        for(k=1;k<=NCOVMAX;k++)
                   8000:          probs[i][j][k]=0.;
                   8001: 
                   8002:     /*---------- Forecasting ------------------*/
                   8003:     /*if((stepm == 1) && (strcmp(model,".")==0)){*/
                   8004:     if(prevfcast==1){
                   8005:       /*    if(stepm ==1){*/
1.201     brouard  8006:       prevforecast(fileresu, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
1.126     brouard  8007:       /* (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);*/
                   8008:       /*      }  */
                   8009:       /*      else{ */
                   8010:       /*        erreur=108; */
                   8011:       /*        printf("Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */
                   8012:       /*        fprintf(ficlog,"Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */
                   8013:       /*      } */
                   8014:     }
1.186     brouard  8015:  
                   8016:     /* ------ Other prevalence ratios------------ */
1.126     brouard  8017: 
1.127     brouard  8018:     /* Computes prevalence between agemin (i.e minimal age computed) and no more ageminpar */
                   8019: 
                   8020:     prevalence(probs, agemin, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   8021:     /*  printf("ageminpar=%f, agemax=%f, s[lastpass][imx]=%d, agev[lastpass][imx]=%f, nlstate=%d, imx=%d,  mint[lastpass][imx]=%f, anint[lastpass][imx]=%f,dateprev1=%f, dateprev2=%f, firstpass=%d, lastpass=%d\n",\
                   8022:        ageminpar, agemax, s[lastpass][imx], agev[lastpass][imx], nlstate, imx, mint[lastpass][imx],anint[lastpass][imx], dateprev1, dateprev2, firstpass, lastpass);
                   8023:     */
1.126     brouard  8024: 
1.127     brouard  8025:     if (mobilav!=0) {
                   8026:       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   8027:       if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
                   8028:        fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   8029:        printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   8030:       }
1.126     brouard  8031:     }
                   8032: 
                   8033: 
1.127     brouard  8034:     /*---------- Health expectancies, no variances ------------*/
                   8035: 
1.201     brouard  8036:     strcpy(filerese,"E_");
                   8037:     strcat(filerese,fileresu);
1.126     brouard  8038:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   8039:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   8040:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   8041:     }
                   8042:     printf("Computing Health Expectancies: result on file '%s' \n", filerese);
                   8043:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' \n", filerese);
1.145     brouard  8044:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   8045:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   8046:           
                   8047:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.127     brouard  8048:        fprintf(ficreseij,"\n#****** ");
                   8049:        for(j=1;j<=cptcoveff;j++) {
1.200     brouard  8050:          fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.127     brouard  8051:        }
                   8052:        fprintf(ficreseij,"******\n");
                   8053: 
                   8054:        eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   8055:        oldm=oldms;savm=savms;
                   8056:        evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart);  
                   8057:       
                   8058:        free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.145     brouard  8059:       /*}*/
1.127     brouard  8060:     }
                   8061:     fclose(ficreseij);
                   8062: 
                   8063: 
                   8064:     /*---------- Health expectancies and variances ------------*/
                   8065: 
                   8066: 
1.201     brouard  8067:     strcpy(filerest,"T_");
                   8068:     strcat(filerest,fileresu);
1.127     brouard  8069:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   8070:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   8071:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   8072:     }
                   8073:     printf("Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); 
                   8074:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); 
                   8075: 
1.126     brouard  8076: 
1.201     brouard  8077:     strcpy(fileresstde,"STDE_");
                   8078:     strcat(fileresstde,fileresu);
1.126     brouard  8079:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
                   8080:       printf("Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   8081:       fprintf(ficlog,"Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   8082:     }
                   8083:     printf("Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   8084:     fprintf(ficlog,"Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   8085: 
1.201     brouard  8086:     strcpy(filerescve,"CVE_");
                   8087:     strcat(filerescve,fileresu);
1.126     brouard  8088:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
                   8089:       printf("Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
                   8090:       fprintf(ficlog,"Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
                   8091:     }
                   8092:     printf("Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
                   8093:     fprintf(ficlog,"Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
                   8094: 
1.201     brouard  8095:     strcpy(fileresv,"V_");
                   8096:     strcat(fileresv,fileresu);
1.126     brouard  8097:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   8098:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   8099:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   8100:     }
                   8101:     printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
                   8102:     fprintf(ficlog,"Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
                   8103: 
1.145     brouard  8104:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   8105:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   8106:           
                   8107:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   8108:        fprintf(ficrest,"\n#****** ");
1.126     brouard  8109:        for(j=1;j<=cptcoveff;j++) 
1.200     brouard  8110:          fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  8111:        fprintf(ficrest,"******\n");
                   8112: 
                   8113:        fprintf(ficresstdeij,"\n#****** ");
                   8114:        fprintf(ficrescveij,"\n#****** ");
                   8115:        for(j=1;j<=cptcoveff;j++) {
1.200     brouard  8116:          fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8117:          fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  8118:        }
                   8119:        fprintf(ficresstdeij,"******\n");
                   8120:        fprintf(ficrescveij,"******\n");
                   8121: 
                   8122:        fprintf(ficresvij,"\n#****** ");
                   8123:        for(j=1;j<=cptcoveff;j++) 
1.200     brouard  8124:          fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  8125:        fprintf(ficresvij,"******\n");
                   8126: 
                   8127:        eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   8128:        oldm=oldms;savm=savms;
1.127     brouard  8129:        cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);  
1.145     brouard  8130:        /*
                   8131:         */
                   8132:        /* goto endfree; */
1.126     brouard  8133:  
                   8134:        vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   8135:        pstamp(ficrest);
1.145     brouard  8136: 
                   8137: 
1.128     brouard  8138:        for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.199     brouard  8139:          oldm=oldms;savm=savms; /* ZZ Segmentation fault */
1.161     brouard  8140:          cptcod= 0; /* To be deleted */
1.203     brouard  8141:          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 */
1.145     brouard  8142:          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 ");
1.128     brouard  8143:          if(vpopbased==1)
                   8144:            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);
                   8145:          else
                   8146:            fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
1.201     brouard  8147:          fprintf(ficrest,"# Age popbased mobilav e.. (std) ");
1.128     brouard  8148:          for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
                   8149:          fprintf(ficrest,"\n");
1.199     brouard  8150:          /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
1.128     brouard  8151:          epj=vector(1,nlstate+1);
                   8152:          for(age=bage; age <=fage ;age++){
1.203     brouard  8153:            prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyear, k); /*ZZ Is it the correct prevalim */
1.128     brouard  8154:            if (vpopbased==1) {
                   8155:              if(mobilav ==0){
                   8156:                for(i=1; i<=nlstate;i++)
                   8157:                  prlim[i][i]=probs[(int)age][i][k];
                   8158:              }else{ /* mobilav */ 
                   8159:                for(i=1; i<=nlstate;i++)
                   8160:                  prlim[i][i]=mobaverage[(int)age][i][k];
                   8161:              }
1.126     brouard  8162:            }
                   8163:        
1.201     brouard  8164:            fprintf(ficrest," %4.0f %d %d",age, vpopbased, mobilav);
1.205     brouard  8165:            /* fprintf(ficrest," %4.0f %d %d %d %d",age, vpopbased, mobilav,Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */ /* to be done */
1.199     brouard  8166:            /* printf(" age %4.0f ",age); */
1.128     brouard  8167:            for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                   8168:              for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   8169:                epj[j] += prlim[i][i]*eij[i][j][(int)age];
1.199     brouard  8170:                /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   8171:                /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
1.128     brouard  8172:              }
                   8173:              epj[nlstate+1] +=epj[j];
1.126     brouard  8174:            }
1.199     brouard  8175:            /* printf(" age %4.0f \n",age); */
1.126     brouard  8176: 
1.128     brouard  8177:            for(i=1, vepp=0.;i <=nlstate;i++)
                   8178:              for(j=1;j <=nlstate;j++)
                   8179:                vepp += vareij[i][j][(int)age];
                   8180:            fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
                   8181:            for(j=1;j <=nlstate;j++){
                   8182:              fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
                   8183:            }
                   8184:            fprintf(ficrest,"\n");
1.126     brouard  8185:          }
                   8186:        }
                   8187:        free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   8188:        free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   8189:        free_vector(epj,1,nlstate+1);
1.145     brouard  8190:       /*}*/
1.126     brouard  8191:     }
                   8192:     free_vector(weight,1,n);
1.145     brouard  8193:     free_imatrix(Tvard,1,NCOVMAX,1,2);
1.126     brouard  8194:     free_imatrix(s,1,maxwav+1,1,n);
                   8195:     free_matrix(anint,1,maxwav,1,n); 
                   8196:     free_matrix(mint,1,maxwav,1,n);
                   8197:     free_ivector(cod,1,n);
                   8198:     free_ivector(tab,1,NCOVMAX);
                   8199:     fclose(ficresstdeij);
                   8200:     fclose(ficrescveij);
                   8201:     fclose(ficresvij);
                   8202:     fclose(ficrest);
                   8203:     fclose(ficpar);
                   8204:   
                   8205:     /*------- Variance of period (stable) prevalence------*/   
                   8206: 
1.201     brouard  8207:     strcpy(fileresvpl,"VPL_");
                   8208:     strcat(fileresvpl,fileresu);
1.126     brouard  8209:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
                   8210:       printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
                   8211:       exit(0);
                   8212:     }
                   8213:     printf("Computing Variance-covariance of period (stable) prevalence: file '%s' \n", fileresvpl);
                   8214: 
1.145     brouard  8215:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   8216:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   8217:           
                   8218:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   8219:        fprintf(ficresvpl,"\n#****** ");
1.126     brouard  8220:        for(j=1;j<=cptcoveff;j++) 
1.200     brouard  8221:          fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  8222:        fprintf(ficresvpl,"******\n");
                   8223:       
                   8224:        varpl=matrix(1,nlstate,(int) bage, (int) fage);
                   8225:        oldm=oldms;savm=savms;
1.203     brouard  8226:        varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, ncvyear, k, strstart);
1.126     brouard  8227:        free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
1.145     brouard  8228:       /*}*/
1.126     brouard  8229:     }
                   8230: 
                   8231:     fclose(ficresvpl);
                   8232: 
                   8233:     /*---------- End : free ----------------*/
                   8234:     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   8235:     free_ma3x(probs,1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   8236:   }  /* mle==-3 arrives here for freeing */
1.164     brouard  8237:  /* endfree:*/
1.141     brouard  8238:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
1.126     brouard  8239:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
                   8240:     free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   8241:     free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   8242:     free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   8243:     free_matrix(covar,0,NCOVMAX,1,n);
                   8244:     free_matrix(matcov,1,npar,1,npar);
1.203     brouard  8245:     free_matrix(hess,1,npar,1,npar);
1.126     brouard  8246:     /*free_vector(delti,1,npar);*/
                   8247:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   8248:     free_matrix(agev,1,maxwav,1,imx);
                   8249:     free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   8250: 
1.145     brouard  8251:     free_ivector(ncodemax,1,NCOVMAX);
1.192     brouard  8252:     free_ivector(ncodemaxwundef,1,NCOVMAX);
1.145     brouard  8253:     free_ivector(Tvar,1,NCOVMAX);
                   8254:     free_ivector(Tprod,1,NCOVMAX);
                   8255:     free_ivector(Tvaraff,1,NCOVMAX);
                   8256:     free_ivector(Tage,1,NCOVMAX);
1.126     brouard  8257: 
                   8258:     free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
1.200     brouard  8259:     /* free_imatrix(codtab,1,100,1,10); */
1.126     brouard  8260:   fflush(fichtm);
                   8261:   fflush(ficgp);
                   8262:   
                   8263: 
                   8264:   if((nberr >0) || (nbwarn>0)){
                   8265:     printf("End of Imach with %d errors and/or %d warnings\n",nberr,nbwarn);
                   8266:     fprintf(ficlog,"End of Imach with %d errors and/or warnings %d\n",nberr,nbwarn);
                   8267:   }else{
                   8268:     printf("End of Imach\n");
                   8269:     fprintf(ficlog,"End of Imach\n");
                   8270:   }
                   8271:   printf("See log file on %s\n",filelog);
                   8272:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  8273:   /*(void) gettimeofday(&end_time,&tzp);*/
                   8274:   rend_time = time(NULL);  
                   8275:   end_time = *localtime(&rend_time);
                   8276:   /* tml = *localtime(&end_time.tm_sec); */
                   8277:   strcpy(strtend,asctime(&end_time));
1.126     brouard  8278:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   8279:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  8280:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.126     brouard  8281: 
1.157     brouard  8282:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   8283:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   8284:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  8285:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   8286: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   8287:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   8288:   fclose(fichtm);
                   8289:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   8290:   fclose(fichtmcov);
                   8291:   fclose(ficgp);
                   8292:   fclose(ficlog);
                   8293:   /*------ End -----------*/
                   8294: 
                   8295: 
                   8296:    printf("Before Current directory %s!\n",pathcd);
1.184     brouard  8297: #ifdef WIN32
                   8298:    if (_chdir(pathcd) != 0)
                   8299:           printf("Can't move to directory %s!\n",path);
                   8300:    if(_getcwd(pathcd,MAXLINE) > 0)
                   8301: #else
1.126     brouard  8302:    if(chdir(pathcd) != 0)
1.184     brouard  8303:           printf("Can't move to directory %s!\n", path);
                   8304:    if (getcwd(pathcd, MAXLINE) > 0)
                   8305: #endif 
1.126     brouard  8306:     printf("Current directory %s!\n",pathcd);
                   8307:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   8308:   sprintf(plotcmd,"gnuplot");
1.157     brouard  8309: #ifdef _WIN32
1.126     brouard  8310:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   8311: #endif
                   8312:   if(!stat(plotcmd,&info)){
1.158     brouard  8313:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  8314:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  8315:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  8316:     }else
                   8317:       strcpy(pplotcmd,plotcmd);
1.157     brouard  8318: #ifdef __unix
1.126     brouard  8319:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   8320:     if(!stat(plotcmd,&info)){
1.158     brouard  8321:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  8322:     }else
                   8323:       strcpy(pplotcmd,plotcmd);
                   8324: #endif
                   8325:   }else
                   8326:     strcpy(pplotcmd,plotcmd);
                   8327:   
                   8328:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  8329:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  8330: 
                   8331:   if((outcmd=system(plotcmd)) != 0){
1.158     brouard  8332:     printf("gnuplot command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  8333:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  8334:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.150     brouard  8335:     if((outcmd=system(plotcmd)) != 0)
1.153     brouard  8336:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.126     brouard  8337:   }
1.158     brouard  8338:   printf(" Successful, please wait...");
1.126     brouard  8339:   while (z[0] != 'q') {
                   8340:     /* chdir(path); */
1.154     brouard  8341:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  8342:     scanf("%s",z);
                   8343: /*     if (z[0] == 'c') system("./imach"); */
                   8344:     if (z[0] == 'e') {
1.158     brouard  8345: #ifdef __APPLE__
1.152     brouard  8346:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  8347: #elif __linux
                   8348:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  8349: #else
1.152     brouard  8350:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  8351: #endif
                   8352:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   8353:       system(pplotcmd);
1.126     brouard  8354:     }
                   8355:     else if (z[0] == 'g') system(plotcmd);
                   8356:     else if (z[0] == 'q') exit(0);
                   8357:   }
                   8358:   end:
                   8359:   while (z[0] != 'q') {
1.195     brouard  8360:     printf("\nType  q for exiting: "); fflush(stdout);
1.126     brouard  8361:     scanf("%s",z);
                   8362:   }
                   8363: }

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