Annotation of imach/src/imach.c, revision 1.205

1.205   ! brouard     1: /* $Id: imach.c,v 1.204 2015/10/01 16:20:26 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.205   ! brouard     4:   Revision 1.204  2015/10/01 16:20:26  brouard
        !             5:   Summary: Some new graphs of contribution to likelihood
        !             6: 
1.204     brouard     7:   Revision 1.203  2015/09/30 17:45:14  brouard
                      8:   Summary: looking at better estimation of the hessian
                      9: 
                     10:   Also a better criteria for convergence to the period prevalence And
                     11:   therefore adding the number of years needed to converge. (The
                     12:   prevalence in any alive state shold sum to one
                     13: 
1.203     brouard    14:   Revision 1.202  2015/09/22 19:45:16  brouard
                     15:   Summary: Adding some overall graph on contribution to likelihood. Might change
                     16: 
1.202     brouard    17:   Revision 1.201  2015/09/15 17:34:58  brouard
                     18:   Summary: 0.98r0
                     19: 
                     20:   - Some new graphs like suvival functions
                     21:   - Some bugs fixed like model=1+age+V2.
                     22: 
1.201     brouard    23:   Revision 1.200  2015/09/09 16:53:55  brouard
                     24:   Summary: Big bug thanks to Flavia
                     25: 
                     26:   Even model=1+age+V2. did not work anymore
                     27: 
1.200     brouard    28:   Revision 1.199  2015/09/07 14:09:23  brouard
                     29:   Summary: 0.98q6 changing default small png format for graph to vectorized svg.
                     30: 
1.199     brouard    31:   Revision 1.198  2015/09/03 07:14:39  brouard
                     32:   Summary: 0.98q5 Flavia
                     33: 
1.198     brouard    34:   Revision 1.197  2015/09/01 18:24:39  brouard
                     35:   *** empty log message ***
                     36: 
1.197     brouard    37:   Revision 1.196  2015/08/18 23:17:52  brouard
                     38:   Summary: 0.98q5
                     39: 
1.196     brouard    40:   Revision 1.195  2015/08/18 16:28:39  brouard
                     41:   Summary: Adding a hack for testing purpose
                     42: 
                     43:   After reading the title, ftol and model lines, if the comment line has
                     44:   a q, starting with #q, the answer at the end of the run is quit. It
                     45:   permits to run test files in batch with ctest. The former workaround was
                     46:   $ echo q | imach foo.imach
                     47: 
1.195     brouard    48:   Revision 1.194  2015/08/18 13:32:00  brouard
                     49:   Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
                     50: 
1.194     brouard    51:   Revision 1.193  2015/08/04 07:17:42  brouard
                     52:   Summary: 0.98q4
                     53: 
1.193     brouard    54:   Revision 1.192  2015/07/16 16:49:02  brouard
                     55:   Summary: Fixing some outputs
                     56: 
1.192     brouard    57:   Revision 1.191  2015/07/14 10:00:33  brouard
                     58:   Summary: Some fixes
                     59: 
1.191     brouard    60:   Revision 1.190  2015/05/05 08:51:13  brouard
                     61:   Summary: Adding digits in output parameters (7 digits instead of 6)
                     62: 
                     63:   Fix 1+age+.
                     64: 
1.190     brouard    65:   Revision 1.189  2015/04/30 14:45:16  brouard
                     66:   Summary: 0.98q2
                     67: 
1.189     brouard    68:   Revision 1.188  2015/04/30 08:27:53  brouard
                     69:   *** empty log message ***
                     70: 
1.188     brouard    71:   Revision 1.187  2015/04/29 09:11:15  brouard
                     72:   *** empty log message ***
                     73: 
1.187     brouard    74:   Revision 1.186  2015/04/23 12:01:52  brouard
                     75:   Summary: V1*age is working now, version 0.98q1
                     76: 
                     77:   Some codes had been disabled in order to simplify and Vn*age was
                     78:   working in the optimization phase, ie, giving correct MLE parameters,
                     79:   but, as usual, outputs were not correct and program core dumped.
                     80: 
1.186     brouard    81:   Revision 1.185  2015/03/11 13:26:42  brouard
                     82:   Summary: Inclusion of compile and links command line for Intel Compiler
                     83: 
1.185     brouard    84:   Revision 1.184  2015/03/11 11:52:39  brouard
                     85:   Summary: Back from Windows 8. Intel Compiler
                     86: 
1.184     brouard    87:   Revision 1.183  2015/03/10 20:34:32  brouard
                     88:   Summary: 0.98q0, trying with directest, mnbrak fixed
                     89: 
                     90:   We use directest instead of original Powell test; probably no
                     91:   incidence on the results, but better justifications;
                     92:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                     93:   wrong results.
                     94: 
1.183     brouard    95:   Revision 1.182  2015/02/12 08:19:57  brouard
                     96:   Summary: Trying to keep directest which seems simpler and more general
                     97:   Author: Nicolas Brouard
                     98: 
1.182     brouard    99:   Revision 1.181  2015/02/11 23:22:24  brouard
                    100:   Summary: Comments on Powell added
                    101: 
                    102:   Author:
                    103: 
1.181     brouard   104:   Revision 1.180  2015/02/11 17:33:45  brouard
                    105:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                    106: 
1.180     brouard   107:   Revision 1.179  2015/01/04 09:57:06  brouard
                    108:   Summary: back to OS/X
                    109: 
1.179     brouard   110:   Revision 1.178  2015/01/04 09:35:48  brouard
                    111:   *** empty log message ***
                    112: 
1.178     brouard   113:   Revision 1.177  2015/01/03 18:40:56  brouard
                    114:   Summary: Still testing ilc32 on OSX
                    115: 
1.177     brouard   116:   Revision 1.176  2015/01/03 16:45:04  brouard
                    117:   *** empty log message ***
                    118: 
1.176     brouard   119:   Revision 1.175  2015/01/03 16:33:42  brouard
                    120:   *** empty log message ***
                    121: 
1.175     brouard   122:   Revision 1.174  2015/01/03 16:15:49  brouard
                    123:   Summary: Still in cross-compilation
                    124: 
1.174     brouard   125:   Revision 1.173  2015/01/03 12:06:26  brouard
                    126:   Summary: trying to detect cross-compilation
                    127: 
1.173     brouard   128:   Revision 1.172  2014/12/27 12:07:47  brouard
                    129:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                    130: 
1.172     brouard   131:   Revision 1.171  2014/12/23 13:26:59  brouard
                    132:   Summary: Back from Visual C
                    133: 
                    134:   Still problem with utsname.h on Windows
                    135: 
1.171     brouard   136:   Revision 1.170  2014/12/23 11:17:12  brouard
                    137:   Summary: Cleaning some \%% back to %%
                    138: 
                    139:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                    140: 
1.170     brouard   141:   Revision 1.169  2014/12/22 23:08:31  brouard
                    142:   Summary: 0.98p
                    143: 
                    144:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                    145: 
1.169     brouard   146:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard   147:   Summary: update
1.169     brouard   148: 
1.168     brouard   149:   Revision 1.167  2014/12/22 13:50:56  brouard
                    150:   Summary: Testing uname and compiler version and if compiled 32 or 64
                    151: 
                    152:   Testing on Linux 64
                    153: 
1.167     brouard   154:   Revision 1.166  2014/12/22 11:40:47  brouard
                    155:   *** empty log message ***
                    156: 
1.166     brouard   157:   Revision 1.165  2014/12/16 11:20:36  brouard
                    158:   Summary: After compiling on Visual C
                    159: 
                    160:   * imach.c (Module): Merging 1.61 to 1.162
                    161: 
1.165     brouard   162:   Revision 1.164  2014/12/16 10:52:11  brouard
                    163:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    164: 
                    165:   * imach.c (Module): Merging 1.61 to 1.162
                    166: 
1.164     brouard   167:   Revision 1.163  2014/12/16 10:30:11  brouard
                    168:   * imach.c (Module): Merging 1.61 to 1.162
                    169: 
1.163     brouard   170:   Revision 1.162  2014/09/25 11:43:39  brouard
                    171:   Summary: temporary backup 0.99!
                    172: 
1.162     brouard   173:   Revision 1.1  2014/09/16 11:06:58  brouard
                    174:   Summary: With some code (wrong) for nlopt
                    175: 
                    176:   Author:
                    177: 
                    178:   Revision 1.161  2014/09/15 20:41:41  brouard
                    179:   Summary: Problem with macro SQR on Intel compiler
                    180: 
1.161     brouard   181:   Revision 1.160  2014/09/02 09:24:05  brouard
                    182:   *** empty log message ***
                    183: 
1.160     brouard   184:   Revision 1.159  2014/09/01 10:34:10  brouard
                    185:   Summary: WIN32
                    186:   Author: Brouard
                    187: 
1.159     brouard   188:   Revision 1.158  2014/08/27 17:11:51  brouard
                    189:   *** empty log message ***
                    190: 
1.158     brouard   191:   Revision 1.157  2014/08/27 16:26:55  brouard
                    192:   Summary: Preparing windows Visual studio version
                    193:   Author: Brouard
                    194: 
                    195:   In order to compile on Visual studio, time.h is now correct and time_t
                    196:   and tm struct should be used. difftime should be used but sometimes I
                    197:   just make the differences in raw time format (time(&now).
                    198:   Trying to suppress #ifdef LINUX
                    199:   Add xdg-open for __linux in order to open default browser.
                    200: 
1.157     brouard   201:   Revision 1.156  2014/08/25 20:10:10  brouard
                    202:   *** empty log message ***
                    203: 
1.156     brouard   204:   Revision 1.155  2014/08/25 18:32:34  brouard
                    205:   Summary: New compile, minor changes
                    206:   Author: Brouard
                    207: 
1.155     brouard   208:   Revision 1.154  2014/06/20 17:32:08  brouard
                    209:   Summary: Outputs now all graphs of convergence to period prevalence
                    210: 
1.154     brouard   211:   Revision 1.153  2014/06/20 16:45:46  brouard
                    212:   Summary: If 3 live state, convergence to period prevalence on same graph
                    213:   Author: Brouard
                    214: 
1.153     brouard   215:   Revision 1.152  2014/06/18 17:54:09  brouard
                    216:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    217: 
1.152     brouard   218:   Revision 1.151  2014/06/18 16:43:30  brouard
                    219:   *** empty log message ***
                    220: 
1.151     brouard   221:   Revision 1.150  2014/06/18 16:42:35  brouard
                    222:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    223:   Author: brouard
                    224: 
1.150     brouard   225:   Revision 1.149  2014/06/18 15:51:14  brouard
                    226:   Summary: Some fixes in parameter files errors
                    227:   Author: Nicolas Brouard
                    228: 
1.149     brouard   229:   Revision 1.148  2014/06/17 17:38:48  brouard
                    230:   Summary: Nothing new
                    231:   Author: Brouard
                    232: 
                    233:   Just a new packaging for OS/X version 0.98nS
                    234: 
1.148     brouard   235:   Revision 1.147  2014/06/16 10:33:11  brouard
                    236:   *** empty log message ***
                    237: 
1.147     brouard   238:   Revision 1.146  2014/06/16 10:20:28  brouard
                    239:   Summary: Merge
                    240:   Author: Brouard
                    241: 
                    242:   Merge, before building revised version.
                    243: 
1.146     brouard   244:   Revision 1.145  2014/06/10 21:23:15  brouard
                    245:   Summary: Debugging with valgrind
                    246:   Author: Nicolas Brouard
                    247: 
                    248:   Lot of changes in order to output the results with some covariates
                    249:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    250:   improve the code.
                    251:   No more memory valgrind error but a lot has to be done in order to
                    252:   continue the work of splitting the code into subroutines.
                    253:   Also, decodemodel has been improved. Tricode is still not
                    254:   optimal. nbcode should be improved. Documentation has been added in
                    255:   the source code.
                    256: 
1.144     brouard   257:   Revision 1.143  2014/01/26 09:45:38  brouard
                    258:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    259: 
                    260:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    261:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    262: 
1.143     brouard   263:   Revision 1.142  2014/01/26 03:57:36  brouard
                    264:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    265: 
                    266:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    267: 
1.142     brouard   268:   Revision 1.141  2014/01/26 02:42:01  brouard
                    269:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    270: 
1.141     brouard   271:   Revision 1.140  2011/09/02 10:37:54  brouard
                    272:   Summary: times.h is ok with mingw32 now.
                    273: 
1.140     brouard   274:   Revision 1.139  2010/06/14 07:50:17  brouard
                    275:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    276:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    277: 
1.139     brouard   278:   Revision 1.138  2010/04/30 18:19:40  brouard
                    279:   *** empty log message ***
                    280: 
1.138     brouard   281:   Revision 1.137  2010/04/29 18:11:38  brouard
                    282:   (Module): Checking covariates for more complex models
                    283:   than V1+V2. A lot of change to be done. Unstable.
                    284: 
1.137     brouard   285:   Revision 1.136  2010/04/26 20:30:53  brouard
                    286:   (Module): merging some libgsl code. Fixing computation
                    287:   of likelione (using inter/intrapolation if mle = 0) in order to
                    288:   get same likelihood as if mle=1.
                    289:   Some cleaning of code and comments added.
                    290: 
1.136     brouard   291:   Revision 1.135  2009/10/29 15:33:14  brouard
                    292:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    293: 
1.135     brouard   294:   Revision 1.134  2009/10/29 13:18:53  brouard
                    295:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    296: 
1.134     brouard   297:   Revision 1.133  2009/07/06 10:21:25  brouard
                    298:   just nforces
                    299: 
1.133     brouard   300:   Revision 1.132  2009/07/06 08:22:05  brouard
                    301:   Many tings
                    302: 
1.132     brouard   303:   Revision 1.131  2009/06/20 16:22:47  brouard
                    304:   Some dimensions resccaled
                    305: 
1.131     brouard   306:   Revision 1.130  2009/05/26 06:44:34  brouard
                    307:   (Module): Max Covariate is now set to 20 instead of 8. A
                    308:   lot of cleaning with variables initialized to 0. Trying to make
                    309:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    310: 
1.130     brouard   311:   Revision 1.129  2007/08/31 13:49:27  lievre
                    312:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    313: 
1.129     lievre    314:   Revision 1.128  2006/06/30 13:02:05  brouard
                    315:   (Module): Clarifications on computing e.j
                    316: 
1.128     brouard   317:   Revision 1.127  2006/04/28 18:11:50  brouard
                    318:   (Module): Yes the sum of survivors was wrong since
                    319:   imach-114 because nhstepm was no more computed in the age
                    320:   loop. Now we define nhstepma in the age loop.
                    321:   (Module): In order to speed up (in case of numerous covariates) we
                    322:   compute health expectancies (without variances) in a first step
                    323:   and then all the health expectancies with variances or standard
                    324:   deviation (needs data from the Hessian matrices) which slows the
                    325:   computation.
                    326:   In the future we should be able to stop the program is only health
                    327:   expectancies and graph are needed without standard deviations.
                    328: 
1.127     brouard   329:   Revision 1.126  2006/04/28 17:23:28  brouard
                    330:   (Module): Yes the sum of survivors was wrong since
                    331:   imach-114 because nhstepm was no more computed in the age
                    332:   loop. Now we define nhstepma in the age loop.
                    333:   Version 0.98h
                    334: 
1.126     brouard   335:   Revision 1.125  2006/04/04 15:20:31  lievre
                    336:   Errors in calculation of health expectancies. Age was not initialized.
                    337:   Forecasting file added.
                    338: 
                    339:   Revision 1.124  2006/03/22 17:13:53  lievre
                    340:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    341:   The log-likelihood is printed in the log file
                    342: 
                    343:   Revision 1.123  2006/03/20 10:52:43  brouard
                    344:   * imach.c (Module): <title> changed, corresponds to .htm file
                    345:   name. <head> headers where missing.
                    346: 
                    347:   * imach.c (Module): Weights can have a decimal point as for
                    348:   English (a comma might work with a correct LC_NUMERIC environment,
                    349:   otherwise the weight is truncated).
                    350:   Modification of warning when the covariates values are not 0 or
                    351:   1.
                    352:   Version 0.98g
                    353: 
                    354:   Revision 1.122  2006/03/20 09:45:41  brouard
                    355:   (Module): Weights can have a decimal point as for
                    356:   English (a comma might work with a correct LC_NUMERIC environment,
                    357:   otherwise the weight is truncated).
                    358:   Modification of warning when the covariates values are not 0 or
                    359:   1.
                    360:   Version 0.98g
                    361: 
                    362:   Revision 1.121  2006/03/16 17:45:01  lievre
                    363:   * imach.c (Module): Comments concerning covariates added
                    364: 
                    365:   * imach.c (Module): refinements in the computation of lli if
                    366:   status=-2 in order to have more reliable computation if stepm is
                    367:   not 1 month. Version 0.98f
                    368: 
                    369:   Revision 1.120  2006/03/16 15:10:38  lievre
                    370:   (Module): refinements in the computation of lli if
                    371:   status=-2 in order to have more reliable computation if stepm is
                    372:   not 1 month. Version 0.98f
                    373: 
                    374:   Revision 1.119  2006/03/15 17:42:26  brouard
                    375:   (Module): Bug if status = -2, the loglikelihood was
                    376:   computed as likelihood omitting the logarithm. Version O.98e
                    377: 
                    378:   Revision 1.118  2006/03/14 18:20:07  brouard
                    379:   (Module): varevsij Comments added explaining the second
                    380:   table of variances if popbased=1 .
                    381:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    382:   (Module): Function pstamp added
                    383:   (Module): Version 0.98d
                    384: 
                    385:   Revision 1.117  2006/03/14 17:16:22  brouard
                    386:   (Module): varevsij Comments added explaining the second
                    387:   table of variances if popbased=1 .
                    388:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    389:   (Module): Function pstamp added
                    390:   (Module): Version 0.98d
                    391: 
                    392:   Revision 1.116  2006/03/06 10:29:27  brouard
                    393:   (Module): Variance-covariance wrong links and
                    394:   varian-covariance of ej. is needed (Saito).
                    395: 
                    396:   Revision 1.115  2006/02/27 12:17:45  brouard
                    397:   (Module): One freematrix added in mlikeli! 0.98c
                    398: 
                    399:   Revision 1.114  2006/02/26 12:57:58  brouard
                    400:   (Module): Some improvements in processing parameter
                    401:   filename with strsep.
                    402: 
                    403:   Revision 1.113  2006/02/24 14:20:24  brouard
                    404:   (Module): Memory leaks checks with valgrind and:
                    405:   datafile was not closed, some imatrix were not freed and on matrix
                    406:   allocation too.
                    407: 
                    408:   Revision 1.112  2006/01/30 09:55:26  brouard
                    409:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    410: 
                    411:   Revision 1.111  2006/01/25 20:38:18  brouard
                    412:   (Module): Lots of cleaning and bugs added (Gompertz)
                    413:   (Module): Comments can be added in data file. Missing date values
                    414:   can be a simple dot '.'.
                    415: 
                    416:   Revision 1.110  2006/01/25 00:51:50  brouard
                    417:   (Module): Lots of cleaning and bugs added (Gompertz)
                    418: 
                    419:   Revision 1.109  2006/01/24 19:37:15  brouard
                    420:   (Module): Comments (lines starting with a #) are allowed in data.
                    421: 
                    422:   Revision 1.108  2006/01/19 18:05:42  lievre
                    423:   Gnuplot problem appeared...
                    424:   To be fixed
                    425: 
                    426:   Revision 1.107  2006/01/19 16:20:37  brouard
                    427:   Test existence of gnuplot in imach path
                    428: 
                    429:   Revision 1.106  2006/01/19 13:24:36  brouard
                    430:   Some cleaning and links added in html output
                    431: 
                    432:   Revision 1.105  2006/01/05 20:23:19  lievre
                    433:   *** empty log message ***
                    434: 
                    435:   Revision 1.104  2005/09/30 16:11:43  lievre
                    436:   (Module): sump fixed, loop imx fixed, and simplifications.
                    437:   (Module): If the status is missing at the last wave but we know
                    438:   that the person is alive, then we can code his/her status as -2
                    439:   (instead of missing=-1 in earlier versions) and his/her
                    440:   contributions to the likelihood is 1 - Prob of dying from last
                    441:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    442:   the healthy state at last known wave). Version is 0.98
                    443: 
                    444:   Revision 1.103  2005/09/30 15:54:49  lievre
                    445:   (Module): sump fixed, loop imx fixed, and simplifications.
                    446: 
                    447:   Revision 1.102  2004/09/15 17:31:30  brouard
                    448:   Add the possibility to read data file including tab characters.
                    449: 
                    450:   Revision 1.101  2004/09/15 10:38:38  brouard
                    451:   Fix on curr_time
                    452: 
                    453:   Revision 1.100  2004/07/12 18:29:06  brouard
                    454:   Add version for Mac OS X. Just define UNIX in Makefile
                    455: 
                    456:   Revision 1.99  2004/06/05 08:57:40  brouard
                    457:   *** empty log message ***
                    458: 
                    459:   Revision 1.98  2004/05/16 15:05:56  brouard
                    460:   New version 0.97 . First attempt to estimate force of mortality
                    461:   directly from the data i.e. without the need of knowing the health
                    462:   state at each age, but using a Gompertz model: log u =a + b*age .
                    463:   This is the basic analysis of mortality and should be done before any
                    464:   other analysis, in order to test if the mortality estimated from the
                    465:   cross-longitudinal survey is different from the mortality estimated
                    466:   from other sources like vital statistic data.
                    467: 
                    468:   The same imach parameter file can be used but the option for mle should be -3.
                    469: 
1.133     brouard   470:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   471:   former routines in order to include the new code within the former code.
                    472: 
                    473:   The output is very simple: only an estimate of the intercept and of
                    474:   the slope with 95% confident intervals.
                    475: 
                    476:   Current limitations:
                    477:   A) Even if you enter covariates, i.e. with the
                    478:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    479:   B) There is no computation of Life Expectancy nor Life Table.
                    480: 
                    481:   Revision 1.97  2004/02/20 13:25:42  lievre
                    482:   Version 0.96d. Population forecasting command line is (temporarily)
                    483:   suppressed.
                    484: 
                    485:   Revision 1.96  2003/07/15 15:38:55  brouard
                    486:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    487:   rewritten within the same printf. Workaround: many printfs.
                    488: 
                    489:   Revision 1.95  2003/07/08 07:54:34  brouard
                    490:   * imach.c (Repository):
                    491:   (Repository): Using imachwizard code to output a more meaningful covariance
                    492:   matrix (cov(a12,c31) instead of numbers.
                    493: 
                    494:   Revision 1.94  2003/06/27 13:00:02  brouard
                    495:   Just cleaning
                    496: 
                    497:   Revision 1.93  2003/06/25 16:33:55  brouard
                    498:   (Module): On windows (cygwin) function asctime_r doesn't
                    499:   exist so I changed back to asctime which exists.
                    500:   (Module): Version 0.96b
                    501: 
                    502:   Revision 1.92  2003/06/25 16:30:45  brouard
                    503:   (Module): On windows (cygwin) function asctime_r doesn't
                    504:   exist so I changed back to asctime which exists.
                    505: 
                    506:   Revision 1.91  2003/06/25 15:30:29  brouard
                    507:   * imach.c (Repository): Duplicated warning errors corrected.
                    508:   (Repository): Elapsed time after each iteration is now output. It
                    509:   helps to forecast when convergence will be reached. Elapsed time
                    510:   is stamped in powell.  We created a new html file for the graphs
                    511:   concerning matrix of covariance. It has extension -cov.htm.
                    512: 
                    513:   Revision 1.90  2003/06/24 12:34:15  brouard
                    514:   (Module): Some bugs corrected for windows. Also, when
                    515:   mle=-1 a template is output in file "or"mypar.txt with the design
                    516:   of the covariance matrix to be input.
                    517: 
                    518:   Revision 1.89  2003/06/24 12:30:52  brouard
                    519:   (Module): Some bugs corrected for windows. Also, when
                    520:   mle=-1 a template is output in file "or"mypar.txt with the design
                    521:   of the covariance matrix to be input.
                    522: 
                    523:   Revision 1.88  2003/06/23 17:54:56  brouard
                    524:   * 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.
                    525: 
                    526:   Revision 1.87  2003/06/18 12:26:01  brouard
                    527:   Version 0.96
                    528: 
                    529:   Revision 1.86  2003/06/17 20:04:08  brouard
                    530:   (Module): Change position of html and gnuplot routines and added
                    531:   routine fileappend.
                    532: 
                    533:   Revision 1.85  2003/06/17 13:12:43  brouard
                    534:   * imach.c (Repository): Check when date of death was earlier that
                    535:   current date of interview. It may happen when the death was just
                    536:   prior to the death. In this case, dh was negative and likelihood
                    537:   was wrong (infinity). We still send an "Error" but patch by
                    538:   assuming that the date of death was just one stepm after the
                    539:   interview.
                    540:   (Repository): Because some people have very long ID (first column)
                    541:   we changed int to long in num[] and we added a new lvector for
                    542:   memory allocation. But we also truncated to 8 characters (left
                    543:   truncation)
                    544:   (Repository): No more line truncation errors.
                    545: 
                    546:   Revision 1.84  2003/06/13 21:44:43  brouard
                    547:   * imach.c (Repository): Replace "freqsummary" at a correct
                    548:   place. It differs from routine "prevalence" which may be called
                    549:   many times. Probs is memory consuming and must be used with
                    550:   parcimony.
                    551:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    552: 
                    553:   Revision 1.83  2003/06/10 13:39:11  lievre
                    554:   *** empty log message ***
                    555: 
                    556:   Revision 1.82  2003/06/05 15:57:20  brouard
                    557:   Add log in  imach.c and  fullversion number is now printed.
                    558: 
                    559: */
                    560: /*
                    561:    Interpolated Markov Chain
                    562: 
                    563:   Short summary of the programme:
                    564:   
                    565:   This program computes Healthy Life Expectancies from
                    566:   cross-longitudinal data. Cross-longitudinal data consist in: -1- a
                    567:   first survey ("cross") where individuals from different ages are
                    568:   interviewed on their health status or degree of disability (in the
                    569:   case of a health survey which is our main interest) -2- at least a
                    570:   second wave of interviews ("longitudinal") which measure each change
                    571:   (if any) in individual health status.  Health expectancies are
                    572:   computed from the time spent in each health state according to a
                    573:   model. More health states you consider, more time is necessary to reach the
                    574:   Maximum Likelihood of the parameters involved in the model.  The
                    575:   simplest model is the multinomial logistic model where pij is the
                    576:   probability to be observed in state j at the second wave
                    577:   conditional to be observed in state i at the first wave. Therefore
                    578:   the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where
                    579:   'age' is age and 'sex' is a covariate. If you want to have a more
                    580:   complex model than "constant and age", you should modify the program
                    581:   where the markup *Covariates have to be included here again* invites
                    582:   you to do it.  More covariates you add, slower the
                    583:   convergence.
                    584: 
                    585:   The advantage of this computer programme, compared to a simple
                    586:   multinomial logistic model, is clear when the delay between waves is not
                    587:   identical for each individual. Also, if a individual missed an
                    588:   intermediate interview, the information is lost, but taken into
                    589:   account using an interpolation or extrapolation.  
                    590: 
                    591:   hPijx is the probability to be observed in state i at age x+h
                    592:   conditional to the observed state i at age x. The delay 'h' can be
                    593:   split into an exact number (nh*stepm) of unobserved intermediate
                    594:   states. This elementary transition (by month, quarter,
                    595:   semester or year) is modelled as a multinomial logistic.  The hPx
                    596:   matrix is simply the matrix product of nh*stepm elementary matrices
                    597:   and the contribution of each individual to the likelihood is simply
                    598:   hPijx.
                    599: 
                    600:   Also this programme outputs the covariance matrix of the parameters but also
                    601:   of the life expectancies. It also computes the period (stable) prevalence. 
                    602:   
1.133     brouard   603:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                    604:            Institut national d'études démographiques, Paris.
1.126     brouard   605:   This software have been partly granted by Euro-REVES, a concerted action
                    606:   from the European Union.
                    607:   It is copyrighted identically to a GNU software product, ie programme and
                    608:   software can be distributed freely for non commercial use. Latest version
                    609:   can be accessed at http://euroreves.ined.fr/imach .
                    610: 
                    611:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                    612:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                    613:   
                    614:   **********************************************************************/
                    615: /*
                    616:   main
                    617:   read parameterfile
                    618:   read datafile
                    619:   concatwav
                    620:   freqsummary
                    621:   if (mle >= 1)
                    622:     mlikeli
                    623:   print results files
                    624:   if mle==1 
                    625:      computes hessian
                    626:   read end of parameter file: agemin, agemax, bage, fage, estepm
                    627:       begin-prev-date,...
                    628:   open gnuplot file
                    629:   open html file
1.145     brouard   630:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                    631:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                    632:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                    633:     freexexit2 possible for memory heap.
                    634: 
                    635:   h Pij x                         | pij_nom  ficrestpij
                    636:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                    637:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                    638:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                    639: 
                    640:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                    641:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                    642:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                    643:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                    644:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                    645: 
1.126     brouard   646:   forecasting if prevfcast==1 prevforecast call prevalence()
                    647:   health expectancies
                    648:   Variance-covariance of DFLE
                    649:   prevalence()
                    650:    movingaverage()
                    651:   varevsij() 
                    652:   if popbased==1 varevsij(,popbased)
                    653:   total life expectancies
                    654:   Variance of period (stable) prevalence
                    655:  end
                    656: */
                    657: 
1.187     brouard   658: /* #define DEBUG */
                    659: /* #define DEBUGBRENT */
1.203     brouard   660: /* #define DEBUGLINMIN */
                    661: /* #define DEBUGHESS */
                    662: #define DEBUGHESSIJ
                    663: /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan)*\/ */
1.165     brouard   664: #define POWELL /* Instead of NLOPT */
1.192     brouard   665: #define POWELLF1F3 /* Skip test */
1.186     brouard   666: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                    667: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.126     brouard   668: 
                    669: #include <math.h>
                    670: #include <stdio.h>
                    671: #include <stdlib.h>
                    672: #include <string.h>
1.159     brouard   673: 
                    674: #ifdef _WIN32
                    675: #include <io.h>
1.172     brouard   676: #include <windows.h>
                    677: #include <tchar.h>
1.159     brouard   678: #else
1.126     brouard   679: #include <unistd.h>
1.159     brouard   680: #endif
1.126     brouard   681: 
                    682: #include <limits.h>
                    683: #include <sys/types.h>
1.171     brouard   684: 
                    685: #if defined(__GNUC__)
                    686: #include <sys/utsname.h> /* Doesn't work on Windows */
                    687: #endif
                    688: 
1.126     brouard   689: #include <sys/stat.h>
                    690: #include <errno.h>
1.159     brouard   691: /* extern int errno; */
1.126     brouard   692: 
1.157     brouard   693: /* #ifdef LINUX */
                    694: /* #include <time.h> */
                    695: /* #include "timeval.h" */
                    696: /* #else */
                    697: /* #include <sys/time.h> */
                    698: /* #endif */
                    699: 
1.126     brouard   700: #include <time.h>
                    701: 
1.136     brouard   702: #ifdef GSL
                    703: #include <gsl/gsl_errno.h>
                    704: #include <gsl/gsl_multimin.h>
                    705: #endif
                    706: 
1.167     brouard   707: 
1.162     brouard   708: #ifdef NLOPT
                    709: #include <nlopt.h>
                    710: typedef struct {
                    711:   double (* function)(double [] );
                    712: } myfunc_data ;
                    713: #endif
                    714: 
1.126     brouard   715: /* #include <libintl.h> */
                    716: /* #define _(String) gettext (String) */
                    717: 
1.141     brouard   718: #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard   719: 
                    720: #define GNUPLOTPROGRAM "gnuplot"
                    721: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                    722: #define FILENAMELENGTH 132
                    723: 
                    724: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                    725: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                    726: 
1.144     brouard   727: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                    728: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard   729: 
                    730: #define NINTERVMAX 8
1.144     brouard   731: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                    732: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
                    733: #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
1.197     brouard   734: #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.126     brouard   735: #define MAXN 20000
1.144     brouard   736: #define YEARM 12. /**< Number of months per year */
1.126     brouard   737: #define AGESUP 130
                    738: #define AGEBASE 40
1.194     brouard   739: #define AGEOVERFLOW 1.e20
1.164     brouard   740: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard   741: #ifdef _WIN32
                    742: #define DIRSEPARATOR '\\'
                    743: #define CHARSEPARATOR "\\"
                    744: #define ODIRSEPARATOR '/'
                    745: #else
1.126     brouard   746: #define DIRSEPARATOR '/'
                    747: #define CHARSEPARATOR "/"
                    748: #define ODIRSEPARATOR '\\'
                    749: #endif
                    750: 
1.205   ! brouard   751: /* $Id: imach.c,v 1.204 2015/10/01 16:20:26 brouard Exp $ */
1.126     brouard   752: /* $State: Exp $ */
1.196     brouard   753: #include "version.h"
                    754: char version[]=__IMACH_VERSION__;
1.204     brouard   755: 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";
1.205   ! brouard   756: char fullversion[]="$Revision: 1.204 $ $Date: 2015/10/01 16:20:26 $"; 
1.126     brouard   757: char strstart[80];
                    758: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard   759: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard   760: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard   761: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                    762: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                    763: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
                    764: int cptcovs=0; /**< cptcovs number of simple covariates V2+V1 =2 */
                    765: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                    766: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                    767: int cptcoveff=0; /* Total number of covariates to vary for printing results */
                    768: int cptcov=0; /* Working variable */
1.126     brouard   769: int npar=NPARMAX;
                    770: int nlstate=2; /* Number of live states */
                    771: int ndeath=1; /* Number of dead states */
1.130     brouard   772: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.126     brouard   773: int popbased=0;
                    774: 
                    775: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard   776: int maxwav=0; /* Maxim number of waves */
                    777: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                    778: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                    779: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard   780:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard   781: int mle=1, weightopt=0;
1.126     brouard   782: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                    783: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                    784: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                    785:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard   786: int countcallfunc=0;  /* Count the number of calls to func */
1.130     brouard   787: double jmean=1; /* Mean space between 2 waves */
1.145     brouard   788: double **matprod2(); /* test */
1.126     brouard   789: double **oldm, **newm, **savm; /* Working pointers to matrices */
                    790: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.136     brouard   791: /*FILE *fic ; */ /* Used in readdata only */
                    792: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
1.126     brouard   793: FILE *ficlog, *ficrespow;
1.130     brouard   794: int globpr=0; /* Global variable for printing or not */
1.126     brouard   795: double fretone; /* Only one call to likelihood */
1.130     brouard   796: long ipmx=0; /* Number of contributions */
1.126     brouard   797: double sw; /* Sum of weights */
                    798: char filerespow[FILENAMELENGTH];
                    799: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                    800: FILE *ficresilk;
                    801: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                    802: FILE *ficresprobmorprev;
                    803: FILE *fichtm, *fichtmcov; /* Html File */
                    804: FILE *ficreseij;
                    805: char filerese[FILENAMELENGTH];
                    806: FILE *ficresstdeij;
                    807: char fileresstde[FILENAMELENGTH];
                    808: FILE *ficrescveij;
                    809: char filerescve[FILENAMELENGTH];
                    810: FILE  *ficresvij;
                    811: char fileresv[FILENAMELENGTH];
                    812: FILE  *ficresvpl;
                    813: char fileresvpl[FILENAMELENGTH];
                    814: char title[MAXLINE];
                    815: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
                    816: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                    817: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                    818: char command[FILENAMELENGTH];
                    819: int  outcmd=0;
                    820: 
                    821: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
1.202     brouard   822: char fileresu[FILENAMELENGTH]; /* fileres without r in front */
1.126     brouard   823: char filelog[FILENAMELENGTH]; /* Log file */
                    824: char filerest[FILENAMELENGTH];
                    825: char fileregp[FILENAMELENGTH];
                    826: char popfile[FILENAMELENGTH];
                    827: 
                    828: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                    829: 
1.157     brouard   830: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                    831: /* struct timezone tzp; */
                    832: /* extern int gettimeofday(); */
                    833: struct tm tml, *gmtime(), *localtime();
                    834: 
                    835: extern time_t time();
                    836: 
                    837: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                    838: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                    839: struct tm tm;
                    840: 
1.126     brouard   841: char strcurr[80], strfor[80];
                    842: 
                    843: char *endptr;
                    844: long lval;
                    845: double dval;
                    846: 
                    847: #define NR_END 1
                    848: #define FREE_ARG char*
                    849: #define FTOL 1.0e-10
                    850: 
                    851: #define NRANSI 
                    852: #define ITMAX 200 
                    853: 
                    854: #define TOL 2.0e-4 
                    855: 
                    856: #define CGOLD 0.3819660 
                    857: #define ZEPS 1.0e-10 
                    858: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                    859: 
                    860: #define GOLD 1.618034 
                    861: #define GLIMIT 100.0 
                    862: #define TINY 1.0e-20 
                    863: 
                    864: static double maxarg1,maxarg2;
                    865: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                    866: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                    867:   
                    868: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                    869: #define rint(a) floor(a+0.5)
1.166     brouard   870: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard   871: #define mytinydouble 1.0e-16
1.166     brouard   872: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                    873: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                    874: /* static double dsqrarg; */
                    875: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard   876: static double sqrarg;
                    877: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                    878: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                    879: int agegomp= AGEGOMP;
                    880: 
                    881: int imx; 
                    882: int stepm=1;
                    883: /* Stepm, step in month: minimum step interpolation*/
                    884: 
                    885: int estepm;
                    886: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                    887: 
                    888: int m,nb;
                    889: long *num;
1.197     brouard   890: int firstpass=0, lastpass=4,*cod, *cens;
1.192     brouard   891: int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                    892:                   covariate for which somebody answered excluding 
                    893:                   undefined. Usually 2: 0 and 1. */
                    894: int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                    895:                             covariate for which somebody answered including 
                    896:                             undefined. Usually 3: -1, 0 and 1. */
1.126     brouard   897: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
                    898: double **pmmij, ***probs;
                    899: double *ageexmed,*agecens;
                    900: double dateintmean=0;
                    901: 
                    902: double *weight;
                    903: int **s; /* Status */
1.141     brouard   904: double *agedc;
1.145     brouard   905: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard   906:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard   907:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.141     brouard   908: double  idx; 
                    909: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.197     brouard   910: int *Tage;
1.145     brouard   911: int *Ndum; /** Freq of modality (tricode */
1.200     brouard   912: /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
1.141     brouard   913: int **Tvard, *Tprod, cptcovprod, *Tvaraff;
1.126     brouard   914: double *lsurv, *lpop, *tpop;
                    915: 
1.143     brouard   916: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                    917: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard   918: 
                    919: /**************** split *************************/
                    920: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                    921: {
                    922:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                    923:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                    924:   */ 
                    925:   char *ss;                            /* pointer */
1.186     brouard   926:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard   927: 
                    928:   l1 = strlen(path );                  /* length of path */
                    929:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                    930:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                    931:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                    932:     strcpy( name, path );              /* we got the fullname name because no directory */
                    933:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                    934:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                    935:     /* get current working directory */
                    936:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard   937: #ifdef WIN32
                    938:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                    939: #else
                    940:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                    941: #endif
1.126     brouard   942:       return( GLOCK_ERROR_GETCWD );
                    943:     }
                    944:     /* got dirc from getcwd*/
                    945:     printf(" DIRC = %s \n",dirc);
1.205   ! brouard   946:   } else {                             /* strip directory from path */
1.126     brouard   947:     ss++;                              /* after this, the filename */
                    948:     l2 = strlen( ss );                 /* length of filename */
                    949:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                    950:     strcpy( name, ss );                /* save file name */
                    951:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard   952:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard   953:     printf(" DIRC2 = %s \n",dirc);
                    954:   }
                    955:   /* We add a separator at the end of dirc if not exists */
                    956:   l1 = strlen( dirc );                 /* length of directory */
                    957:   if( dirc[l1-1] != DIRSEPARATOR ){
                    958:     dirc[l1] =  DIRSEPARATOR;
                    959:     dirc[l1+1] = 0; 
                    960:     printf(" DIRC3 = %s \n",dirc);
                    961:   }
                    962:   ss = strrchr( name, '.' );           /* find last / */
                    963:   if (ss >0){
                    964:     ss++;
                    965:     strcpy(ext,ss);                    /* save extension */
                    966:     l1= strlen( name);
                    967:     l2= strlen(ss)+1;
                    968:     strncpy( finame, name, l1-l2);
                    969:     finame[l1-l2]= 0;
                    970:   }
                    971: 
                    972:   return( 0 );                         /* we're done */
                    973: }
                    974: 
                    975: 
                    976: /******************************************/
                    977: 
                    978: void replace_back_to_slash(char *s, char*t)
                    979: {
                    980:   int i;
                    981:   int lg=0;
                    982:   i=0;
                    983:   lg=strlen(t);
                    984:   for(i=0; i<= lg; i++) {
                    985:     (s[i] = t[i]);
                    986:     if (t[i]== '\\') s[i]='/';
                    987:   }
                    988: }
                    989: 
1.132     brouard   990: char *trimbb(char *out, char *in)
1.137     brouard   991: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard   992:   char *s;
                    993:   s=out;
                    994:   while (*in != '\0'){
1.137     brouard   995:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard   996:       in++;
                    997:     }
                    998:     *out++ = *in++;
                    999:   }
                   1000:   *out='\0';
                   1001:   return s;
                   1002: }
                   1003: 
1.187     brouard  1004: /* char *substrchaine(char *out, char *in, char *chain) */
                   1005: /* { */
                   1006: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                   1007: /*   char *s, *t; */
                   1008: /*   t=in;s=out; */
                   1009: /*   while ((*in != *chain) && (*in != '\0')){ */
                   1010: /*     *out++ = *in++; */
                   1011: /*   } */
                   1012: 
                   1013: /*   /\* *in matches *chain *\/ */
                   1014: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                   1015: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1016: /*   } */
                   1017: /*   in--; chain--; */
                   1018: /*   while ( (*in != '\0')){ */
                   1019: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1020: /*     *out++ = *in++; */
                   1021: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1022: /*   } */
                   1023: /*   *out='\0'; */
                   1024: /*   out=s; */
                   1025: /*   return out; */
                   1026: /* } */
                   1027: char *substrchaine(char *out, char *in, char *chain)
                   1028: {
                   1029:   /* Substract chain 'chain' from 'in', return and output 'out' */
                   1030:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                   1031: 
                   1032:   char *strloc;
                   1033: 
                   1034:   strcpy (out, in); 
                   1035:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                   1036:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                   1037:   if(strloc != NULL){ 
                   1038:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                   1039:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                   1040:     /* strcpy (strloc, strloc +strlen(chain));*/
                   1041:   }
                   1042:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                   1043:   return out;
                   1044: }
                   1045: 
                   1046: 
1.145     brouard  1047: char *cutl(char *blocc, char *alocc, char *in, char occ)
                   1048: {
1.187     brouard  1049:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard  1050:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.187     brouard  1051:      gives blocc="abcdef" and alocc="ghi2j".
1.145     brouard  1052:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                   1053:   */
1.160     brouard  1054:   char *s, *t;
1.145     brouard  1055:   t=in;s=in;
                   1056:   while ((*in != occ) && (*in != '\0')){
                   1057:     *alocc++ = *in++;
                   1058:   }
                   1059:   if( *in == occ){
                   1060:     *(alocc)='\0';
                   1061:     s=++in;
                   1062:   }
                   1063:  
                   1064:   if (s == t) {/* occ not found */
                   1065:     *(alocc-(in-s))='\0';
                   1066:     in=s;
                   1067:   }
                   1068:   while ( *in != '\0'){
                   1069:     *blocc++ = *in++;
                   1070:   }
                   1071: 
                   1072:   *blocc='\0';
                   1073:   return t;
                   1074: }
1.137     brouard  1075: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1076: {
1.187     brouard  1077:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1078:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1079:      gives blocc="abcdef2ghi" and alocc="j".
                   1080:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1081:   */
                   1082:   char *s, *t;
                   1083:   t=in;s=in;
                   1084:   while (*in != '\0'){
                   1085:     while( *in == occ){
                   1086:       *blocc++ = *in++;
                   1087:       s=in;
                   1088:     }
                   1089:     *blocc++ = *in++;
                   1090:   }
                   1091:   if (s == t) /* occ not found */
                   1092:     *(blocc-(in-s))='\0';
                   1093:   else
                   1094:     *(blocc-(in-s)-1)='\0';
                   1095:   in=s;
                   1096:   while ( *in != '\0'){
                   1097:     *alocc++ = *in++;
                   1098:   }
                   1099: 
                   1100:   *alocc='\0';
                   1101:   return s;
                   1102: }
                   1103: 
1.126     brouard  1104: int nbocc(char *s, char occ)
                   1105: {
                   1106:   int i,j=0;
                   1107:   int lg=20;
                   1108:   i=0;
                   1109:   lg=strlen(s);
                   1110:   for(i=0; i<= lg; i++) {
                   1111:   if  (s[i] == occ ) j++;
                   1112:   }
                   1113:   return j;
                   1114: }
                   1115: 
1.137     brouard  1116: /* void cutv(char *u,char *v, char*t, char occ) */
                   1117: /* { */
                   1118: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1119: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1120: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1121: /*   int i,lg,j,p=0; */
                   1122: /*   i=0; */
                   1123: /*   lg=strlen(t); */
                   1124: /*   for(j=0; j<=lg-1; j++) { */
                   1125: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1126: /*   } */
1.126     brouard  1127: 
1.137     brouard  1128: /*   for(j=0; j<p; j++) { */
                   1129: /*     (u[j] = t[j]); */
                   1130: /*   } */
                   1131: /*      u[p]='\0'; */
1.126     brouard  1132: 
1.137     brouard  1133: /*    for(j=0; j<= lg; j++) { */
                   1134: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1135: /*   } */
                   1136: /* } */
1.126     brouard  1137: 
1.160     brouard  1138: #ifdef _WIN32
                   1139: char * strsep(char **pp, const char *delim)
                   1140: {
                   1141:   char *p, *q;
                   1142:          
                   1143:   if ((p = *pp) == NULL)
                   1144:     return 0;
                   1145:   if ((q = strpbrk (p, delim)) != NULL)
                   1146:   {
                   1147:     *pp = q + 1;
                   1148:     *q = '\0';
                   1149:   }
                   1150:   else
                   1151:     *pp = 0;
                   1152:   return p;
                   1153: }
                   1154: #endif
                   1155: 
1.126     brouard  1156: /********************** nrerror ********************/
                   1157: 
                   1158: void nrerror(char error_text[])
                   1159: {
                   1160:   fprintf(stderr,"ERREUR ...\n");
                   1161:   fprintf(stderr,"%s\n",error_text);
                   1162:   exit(EXIT_FAILURE);
                   1163: }
                   1164: /*********************** vector *******************/
                   1165: double *vector(int nl, int nh)
                   1166: {
                   1167:   double *v;
                   1168:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1169:   if (!v) nrerror("allocation failure in vector");
                   1170:   return v-nl+NR_END;
                   1171: }
                   1172: 
                   1173: /************************ free vector ******************/
                   1174: void free_vector(double*v, int nl, int nh)
                   1175: {
                   1176:   free((FREE_ARG)(v+nl-NR_END));
                   1177: }
                   1178: 
                   1179: /************************ivector *******************************/
                   1180: int *ivector(long nl,long nh)
                   1181: {
                   1182:   int *v;
                   1183:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1184:   if (!v) nrerror("allocation failure in ivector");
                   1185:   return v-nl+NR_END;
                   1186: }
                   1187: 
                   1188: /******************free ivector **************************/
                   1189: void free_ivector(int *v, long nl, long nh)
                   1190: {
                   1191:   free((FREE_ARG)(v+nl-NR_END));
                   1192: }
                   1193: 
                   1194: /************************lvector *******************************/
                   1195: long *lvector(long nl,long nh)
                   1196: {
                   1197:   long *v;
                   1198:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1199:   if (!v) nrerror("allocation failure in ivector");
                   1200:   return v-nl+NR_END;
                   1201: }
                   1202: 
                   1203: /******************free lvector **************************/
                   1204: void free_lvector(long *v, long nl, long nh)
                   1205: {
                   1206:   free((FREE_ARG)(v+nl-NR_END));
                   1207: }
                   1208: 
                   1209: /******************* imatrix *******************************/
                   1210: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1211:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1212: { 
                   1213:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1214:   int **m; 
                   1215:   
                   1216:   /* allocate pointers to rows */ 
                   1217:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1218:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1219:   m += NR_END; 
                   1220:   m -= nrl; 
                   1221:   
                   1222:   
                   1223:   /* allocate rows and set pointers to them */ 
                   1224:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1225:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1226:   m[nrl] += NR_END; 
                   1227:   m[nrl] -= ncl; 
                   1228:   
                   1229:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1230:   
                   1231:   /* return pointer to array of pointers to rows */ 
                   1232:   return m; 
                   1233: } 
                   1234: 
                   1235: /****************** free_imatrix *************************/
                   1236: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1237:       int **m;
                   1238:       long nch,ncl,nrh,nrl; 
                   1239:      /* free an int matrix allocated by imatrix() */ 
                   1240: { 
                   1241:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1242:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1243: } 
                   1244: 
                   1245: /******************* matrix *******************************/
                   1246: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1247: {
                   1248:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1249:   double **m;
                   1250: 
                   1251:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1252:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1253:   m += NR_END;
                   1254:   m -= nrl;
                   1255: 
                   1256:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1257:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1258:   m[nrl] += NR_END;
                   1259:   m[nrl] -= ncl;
                   1260: 
                   1261:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1262:   return m;
1.145     brouard  1263:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1264: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1265: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1266:    */
                   1267: }
                   1268: 
                   1269: /*************************free matrix ************************/
                   1270: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1271: {
                   1272:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1273:   free((FREE_ARG)(m+nrl-NR_END));
                   1274: }
                   1275: 
                   1276: /******************* ma3x *******************************/
                   1277: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1278: {
                   1279:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1280:   double ***m;
                   1281: 
                   1282:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1283:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1284:   m += NR_END;
                   1285:   m -= nrl;
                   1286: 
                   1287:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1288:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1289:   m[nrl] += NR_END;
                   1290:   m[nrl] -= ncl;
                   1291: 
                   1292:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1293: 
                   1294:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1295:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1296:   m[nrl][ncl] += NR_END;
                   1297:   m[nrl][ncl] -= nll;
                   1298:   for (j=ncl+1; j<=nch; j++) 
                   1299:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1300:   
                   1301:   for (i=nrl+1; i<=nrh; i++) {
                   1302:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1303:     for (j=ncl+1; j<=nch; j++) 
                   1304:       m[i][j]=m[i][j-1]+nlay;
                   1305:   }
                   1306:   return m; 
                   1307:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1308:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1309:   */
                   1310: }
                   1311: 
                   1312: /*************************free ma3x ************************/
                   1313: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1314: {
                   1315:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1316:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1317:   free((FREE_ARG)(m+nrl-NR_END));
                   1318: }
                   1319: 
                   1320: /*************** function subdirf ***********/
                   1321: char *subdirf(char fileres[])
                   1322: {
                   1323:   /* Caution optionfilefiname is hidden */
                   1324:   strcpy(tmpout,optionfilefiname);
                   1325:   strcat(tmpout,"/"); /* Add to the right */
                   1326:   strcat(tmpout,fileres);
                   1327:   return tmpout;
                   1328: }
                   1329: 
                   1330: /*************** function subdirf2 ***********/
                   1331: char *subdirf2(char fileres[], char *preop)
                   1332: {
                   1333:   
                   1334:   /* Caution optionfilefiname is hidden */
                   1335:   strcpy(tmpout,optionfilefiname);
                   1336:   strcat(tmpout,"/");
                   1337:   strcat(tmpout,preop);
                   1338:   strcat(tmpout,fileres);
                   1339:   return tmpout;
                   1340: }
                   1341: 
                   1342: /*************** function subdirf3 ***********/
                   1343: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1344: {
                   1345:   
                   1346:   /* Caution optionfilefiname is hidden */
                   1347:   strcpy(tmpout,optionfilefiname);
                   1348:   strcat(tmpout,"/");
                   1349:   strcat(tmpout,preop);
                   1350:   strcat(tmpout,preop2);
                   1351:   strcat(tmpout,fileres);
                   1352:   return tmpout;
                   1353: }
                   1354: 
1.162     brouard  1355: char *asc_diff_time(long time_sec, char ascdiff[])
                   1356: {
                   1357:   long sec_left, days, hours, minutes;
                   1358:   days = (time_sec) / (60*60*24);
                   1359:   sec_left = (time_sec) % (60*60*24);
                   1360:   hours = (sec_left) / (60*60) ;
                   1361:   sec_left = (sec_left) %(60*60);
                   1362:   minutes = (sec_left) /60;
                   1363:   sec_left = (sec_left) % (60);
                   1364:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1365:   return ascdiff;
                   1366: }
                   1367: 
1.126     brouard  1368: /***************** f1dim *************************/
                   1369: extern int ncom; 
                   1370: extern double *pcom,*xicom;
                   1371: extern double (*nrfunc)(double []); 
                   1372:  
                   1373: double f1dim(double x) 
                   1374: { 
                   1375:   int j; 
                   1376:   double f;
                   1377:   double *xt; 
                   1378:  
                   1379:   xt=vector(1,ncom); 
                   1380:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   1381:   f=(*nrfunc)(xt); 
                   1382:   free_vector(xt,1,ncom); 
                   1383:   return f; 
                   1384: } 
                   1385: 
                   1386: /*****************brent *************************/
                   1387: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  1388: {
                   1389:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   1390:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   1391:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   1392:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   1393:    * returned function value. 
                   1394:   */
1.126     brouard  1395:   int iter; 
                   1396:   double a,b,d,etemp;
1.159     brouard  1397:   double fu=0,fv,fw,fx;
1.164     brouard  1398:   double ftemp=0.;
1.126     brouard  1399:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   1400:   double e=0.0; 
                   1401:  
                   1402:   a=(ax < cx ? ax : cx); 
                   1403:   b=(ax > cx ? ax : cx); 
                   1404:   x=w=v=bx; 
                   1405:   fw=fv=fx=(*f)(x); 
                   1406:   for (iter=1;iter<=ITMAX;iter++) { 
                   1407:     xm=0.5*(a+b); 
                   1408:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   1409:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   1410:     printf(".");fflush(stdout);
                   1411:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  1412: #ifdef DEBUGBRENT
1.126     brouard  1413:     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);
                   1414:     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);
                   1415:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   1416: #endif
                   1417:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   1418:       *xmin=x; 
                   1419:       return fx; 
                   1420:     } 
                   1421:     ftemp=fu;
                   1422:     if (fabs(e) > tol1) { 
                   1423:       r=(x-w)*(fx-fv); 
                   1424:       q=(x-v)*(fx-fw); 
                   1425:       p=(x-v)*q-(x-w)*r; 
                   1426:       q=2.0*(q-r); 
                   1427:       if (q > 0.0) p = -p; 
                   1428:       q=fabs(q); 
                   1429:       etemp=e; 
                   1430:       e=d; 
                   1431:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
                   1432:        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1433:       else { 
                   1434:        d=p/q; 
                   1435:        u=x+d; 
                   1436:        if (u-a < tol2 || b-u < tol2) 
                   1437:          d=SIGN(tol1,xm-x); 
                   1438:       } 
                   1439:     } else { 
                   1440:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1441:     } 
                   1442:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   1443:     fu=(*f)(u); 
                   1444:     if (fu <= fx) { 
                   1445:       if (u >= x) a=x; else b=x; 
                   1446:       SHFT(v,w,x,u) 
1.183     brouard  1447:       SHFT(fv,fw,fx,fu) 
                   1448:     } else { 
                   1449:       if (u < x) a=u; else b=u; 
                   1450:       if (fu <= fw || w == x) { 
                   1451:        v=w; 
                   1452:        w=u; 
                   1453:        fv=fw; 
                   1454:        fw=fu; 
                   1455:       } else if (fu <= fv || v == x || v == w) { 
                   1456:        v=u; 
                   1457:        fv=fu; 
                   1458:       } 
                   1459:     } 
1.126     brouard  1460:   } 
                   1461:   nrerror("Too many iterations in brent"); 
                   1462:   *xmin=x; 
                   1463:   return fx; 
                   1464: } 
                   1465: 
                   1466: /****************** mnbrak ***********************/
                   1467: 
                   1468: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   1469:            double (*func)(double)) 
1.183     brouard  1470: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   1471: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   1472: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   1473: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   1474:    */
1.126     brouard  1475:   double ulim,u,r,q, dum;
                   1476:   double fu; 
1.187     brouard  1477: 
                   1478:   double scale=10.;
                   1479:   int iterscale=0;
                   1480: 
                   1481:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   1482:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   1483: 
                   1484: 
                   1485:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   1486:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   1487:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   1488:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   1489:   /* } */
                   1490: 
1.126     brouard  1491:   if (*fb > *fa) { 
                   1492:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  1493:     SHFT(dum,*fb,*fa,dum) 
                   1494:   } 
1.126     brouard  1495:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   1496:   *fc=(*func)(*cx); 
1.183     brouard  1497: #ifdef DEBUG
                   1498:   printf("mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
                   1499:   fprintf(ficlog,"mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
                   1500: #endif
                   1501:   while (*fb > *fc) { /* Declining a,b,c with fa> fb > fc */
1.126     brouard  1502:     r=(*bx-*ax)*(*fb-*fc); 
                   1503:     q=(*bx-*cx)*(*fb-*fa); 
                   1504:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  1505:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   1506:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   1507:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  1508:       fu=(*func)(u); 
1.163     brouard  1509: #ifdef DEBUG
                   1510:       /* f(x)=A(x-u)**2+f(u) */
                   1511:       double A, fparabu; 
                   1512:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   1513:       fparabu= *fa - A*(*ax-u)*(*ax-u);
                   1514:       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);
                   1515:       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  1516:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   1517:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   1518:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   1519:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  1520: #endif 
1.184     brouard  1521: #ifdef MNBRAKORIGINAL
1.183     brouard  1522: #else
1.191     brouard  1523: /*       if (fu > *fc) { */
                   1524: /* #ifdef DEBUG */
                   1525: /*       printf("mnbrak4  fu > fc \n"); */
                   1526: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
                   1527: /* #endif */
                   1528: /*     /\* 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 *\\/  *\/ */
                   1529: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
                   1530: /*     dum=u; /\* Shifting c and u *\/ */
                   1531: /*     u = *cx; */
                   1532: /*     *cx = dum; */
                   1533: /*     dum = fu; */
                   1534: /*     fu = *fc; */
                   1535: /*     *fc =dum; */
                   1536: /*       } else { /\* end *\/ */
                   1537: /* #ifdef DEBUG */
                   1538: /*       printf("mnbrak3  fu < fc \n"); */
                   1539: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
                   1540: /* #endif */
                   1541: /*     dum=u; /\* Shifting c and u *\/ */
                   1542: /*     u = *cx; */
                   1543: /*     *cx = dum; */
                   1544: /*     dum = fu; */
                   1545: /*     fu = *fc; */
                   1546: /*     *fc =dum; */
                   1547: /*       } */
1.183     brouard  1548: #ifdef DEBUG
1.191     brouard  1549:       printf("mnbrak34  fu < or >= fc \n");
                   1550:       fprintf(ficlog, "mnbrak34 fu < fc\n");
1.183     brouard  1551: #endif
1.191     brouard  1552:       dum=u; /* Shifting c and u */
                   1553:       u = *cx;
                   1554:       *cx = dum;
                   1555:       dum = fu;
                   1556:       fu = *fc;
                   1557:       *fc =dum;
1.183     brouard  1558: #endif
1.162     brouard  1559:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  1560: #ifdef DEBUG
                   1561:       printf("mnbrak2  u after c but before ulim\n");
                   1562:       fprintf(ficlog, "mnbrak2 u after c but before ulim\n");
                   1563: #endif
1.126     brouard  1564:       fu=(*func)(u); 
                   1565:       if (fu < *fc) { 
1.183     brouard  1566: #ifdef DEBUG
                   1567:       printf("mnbrak2  u after c but before ulim AND fu < fc\n");
                   1568:       fprintf(ficlog, "mnbrak2 u after c but before ulim AND fu <fc \n");
                   1569: #endif
1.126     brouard  1570:        SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
1.183     brouard  1571:        SHFT(*fb,*fc,fu,(*func)(u)) 
                   1572:       } 
1.162     brouard  1573:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  1574: #ifdef DEBUG
                   1575:       printf("mnbrak2  u outside ulim (verifying that ulim is beyond c)\n");
                   1576:       fprintf(ficlog, "mnbrak2 u outside ulim (verifying that ulim is beyond c)\n");
                   1577: #endif
1.126     brouard  1578:       u=ulim; 
                   1579:       fu=(*func)(u); 
1.183     brouard  1580:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   1581: #ifdef DEBUG
                   1582:       printf("mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
                   1583:       fprintf(ficlog, "mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
                   1584: #endif
1.126     brouard  1585:       u=(*cx)+GOLD*(*cx-*bx); 
                   1586:       fu=(*func)(u); 
1.183     brouard  1587:     } /* end tests */
1.126     brouard  1588:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  1589:     SHFT(*fa,*fb,*fc,fu) 
                   1590: #ifdef DEBUG
                   1591:       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);
                   1592:       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);
                   1593: #endif
                   1594:   } /* 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  1595: } 
                   1596: 
                   1597: /*************** linmin ************************/
1.162     brouard  1598: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   1599: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   1600: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   1601: the value of func at the returned location p . This is actually all accomplished by calling the
                   1602: routines mnbrak and brent .*/
1.126     brouard  1603: int ncom; 
                   1604: double *pcom,*xicom;
                   1605: double (*nrfunc)(double []); 
                   1606:  
                   1607: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
                   1608: { 
                   1609:   double brent(double ax, double bx, double cx, 
                   1610:               double (*f)(double), double tol, double *xmin); 
                   1611:   double f1dim(double x); 
                   1612:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   1613:              double *fc, double (*func)(double)); 
                   1614:   int j; 
                   1615:   double xx,xmin,bx,ax; 
                   1616:   double fx,fb,fa;
1.187     brouard  1617: 
1.203     brouard  1618: #ifdef LINMINORIGINAL
                   1619: #else
                   1620:   double scale=10., axs, xxs; /* Scale added for infinity */
                   1621: #endif
                   1622:   
1.126     brouard  1623:   ncom=n; 
                   1624:   pcom=vector(1,n); 
                   1625:   xicom=vector(1,n); 
                   1626:   nrfunc=func; 
                   1627:   for (j=1;j<=n;j++) { 
                   1628:     pcom[j]=p[j]; 
1.202     brouard  1629:     xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
1.126     brouard  1630:   } 
1.187     brouard  1631: 
1.203     brouard  1632: #ifdef LINMINORIGINAL
                   1633:   xx=1.;
                   1634: #else
                   1635:   axs=0.0;
                   1636:   xxs=1.;
                   1637:   do{
                   1638:     xx= xxs;
                   1639: #endif
1.187     brouard  1640:     ax=0.;
                   1641:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   1642:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   1643:     /* 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))   */
                   1644:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   1645:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   1646:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   1647:     /* 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  1648: #ifdef LINMINORIGINAL
                   1649: #else
                   1650:     if (fx != fx){
                   1651:        xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                   1652:        printf("|");
                   1653:        fprintf(ficlog,"|");
                   1654: #ifdef DEBUGLINMIN
                   1655:        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);
                   1656: #endif
                   1657:     }
                   1658:   }while(fx != fx);
                   1659: #endif
                   1660:   
1.191     brouard  1661: #ifdef DEBUGLINMIN
                   1662:   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  1663:   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  1664: #endif
1.187     brouard  1665:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   1666:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   1667:   /* fmin = f(p[j] + xmin * xi[j]) */
                   1668:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   1669:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  1670: #ifdef DEBUG
                   1671:   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
                   1672:   fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
                   1673: #endif
1.191     brouard  1674: #ifdef DEBUGLINMIN
                   1675:   printf("linmin end ");
1.202     brouard  1676:   fprintf(ficlog,"linmin end ");
1.191     brouard  1677: #endif
1.126     brouard  1678:   for (j=1;j<=n;j++) { 
1.203     brouard  1679: #ifdef LINMINORIGINAL
                   1680:     xi[j] *= xmin; 
                   1681: #else
                   1682: #ifdef DEBUGLINMIN
                   1683:     if(xxs <1.0)
                   1684:       printf(" before xi[%d]=%12.8f", j,xi[j]);
                   1685: #endif
                   1686:     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) */
                   1687: #ifdef DEBUGLINMIN
                   1688:     if(xxs <1.0)
                   1689:       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 );
                   1690: #endif
                   1691: #endif
1.187     brouard  1692:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  1693:   } 
1.191     brouard  1694: #ifdef DEBUGLINMIN
1.203     brouard  1695:   printf("\n");
1.191     brouard  1696:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
1.202     brouard  1697:   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  1698:   for (j=1;j<=n;j++) { 
1.202     brouard  1699:     printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1700:     fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1701:     if(j % ncovmodel == 0){
1.191     brouard  1702:       printf("\n");
1.202     brouard  1703:       fprintf(ficlog,"\n");
                   1704:     }
1.191     brouard  1705:   }
1.203     brouard  1706: #else
1.191     brouard  1707: #endif
1.126     brouard  1708:   free_vector(xicom,1,n); 
                   1709:   free_vector(pcom,1,n); 
                   1710: } 
                   1711: 
                   1712: 
                   1713: /*************** powell ************************/
1.162     brouard  1714: /*
                   1715: Minimization of a function func of n variables. Input consists of an initial starting point
                   1716: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
                   1717: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
                   1718: such that failure to decrease by more than this amount on one iteration signals doneness. On
                   1719: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   1720: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   1721:  */
1.126     brouard  1722: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   1723:            double (*func)(double [])) 
                   1724: { 
                   1725:   void linmin(double p[], double xi[], int n, double *fret, 
                   1726:              double (*func)(double [])); 
                   1727:   int i,ibig,j; 
                   1728:   double del,t,*pt,*ptt,*xit;
1.181     brouard  1729:   double directest;
1.126     brouard  1730:   double fp,fptt;
                   1731:   double *xits;
                   1732:   int niterf, itmp;
                   1733: 
                   1734:   pt=vector(1,n); 
                   1735:   ptt=vector(1,n); 
                   1736:   xit=vector(1,n); 
                   1737:   xits=vector(1,n); 
                   1738:   *fret=(*func)(p); 
                   1739:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.202     brouard  1740:   rcurr_time = time(NULL);  
1.126     brouard  1741:   for (*iter=1;;++(*iter)) { 
1.187     brouard  1742:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  1743:     ibig=0; 
                   1744:     del=0.0; 
1.157     brouard  1745:     rlast_time=rcurr_time;
                   1746:     /* (void) gettimeofday(&curr_time,&tzp); */
                   1747:     rcurr_time = time(NULL);  
                   1748:     curr_time = *localtime(&rcurr_time);
                   1749:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   1750:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   1751: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.192     brouard  1752:     for (i=1;i<=n;i++) {
1.126     brouard  1753:       printf(" %d %.12f",i, p[i]);
                   1754:       fprintf(ficlog," %d %.12lf",i, p[i]);
                   1755:       fprintf(ficrespow," %.12lf", p[i]);
                   1756:     }
                   1757:     printf("\n");
                   1758:     fprintf(ficlog,"\n");
                   1759:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   1760:     if(*iter <=3){
1.157     brouard  1761:       tml = *localtime(&rcurr_time);
                   1762:       strcpy(strcurr,asctime(&tml));
                   1763:       rforecast_time=rcurr_time; 
1.126     brouard  1764:       itmp = strlen(strcurr);
                   1765:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
                   1766:        strcurr[itmp-1]='\0';
1.162     brouard  1767:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  1768:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  1769:       for(niterf=10;niterf<=30;niterf+=10){
1.157     brouard  1770:        rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   1771:        forecast_time = *localtime(&rforecast_time);
                   1772:        strcpy(strfor,asctime(&forecast_time));
1.126     brouard  1773:        itmp = strlen(strfor);
                   1774:        if(strfor[itmp-1]=='\n')
                   1775:        strfor[itmp-1]='\0';
1.157     brouard  1776:        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);
                   1777:        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  1778:       }
                   1779:     }
1.187     brouard  1780:     for (i=1;i<=n;i++) { /* For each direction i */
                   1781:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  1782:       fptt=(*fret); 
                   1783: #ifdef DEBUG
1.203     brouard  1784:       printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   1785:       fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  1786: #endif
1.203     brouard  1787:       printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  1788:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.188     brouard  1789:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   1790:                                    /* Outputs are fret(new point p) p is updated and xit rescaled */
                   1791:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
                   1792:        /* because that direction will be replaced unless the gain del is small */
                   1793:        /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   1794:        /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   1795:        /* with the new direction. */
1.126     brouard  1796:        del=fabs(fptt-(*fret)); 
                   1797:        ibig=i; 
                   1798:       } 
                   1799: #ifdef DEBUG
                   1800:       printf("%d %.12e",i,(*fret));
                   1801:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   1802:       for (j=1;j<=n;j++) {
                   1803:        xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   1804:        printf(" x(%d)=%.12e",j,xit[j]);
                   1805:        fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
                   1806:       }
                   1807:       for(j=1;j<=n;j++) {
1.162     brouard  1808:        printf(" p(%d)=%.12e",j,p[j]);
                   1809:        fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  1810:       }
                   1811:       printf("\n");
                   1812:       fprintf(ficlog,"\n");
                   1813: #endif
1.187     brouard  1814:     } /* end loop on each direction i */
                   1815:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  1816:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  1817:     /* New value of last point Pn is not computed, P(n-1) */
1.182     brouard  1818:     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /* Did we reach enough precision? */
1.188     brouard  1819:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   1820:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   1821:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   1822:       /* decreased of more than 3.84  */
                   1823:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   1824:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   1825:       /* By adding 10 parameters more the gain should be 18.31 */
                   1826: 
                   1827:       /* Starting the program with initial values given by a former maximization will simply change */
                   1828:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   1829:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   1830:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  1831: #ifdef DEBUG
                   1832:       int k[2],l;
                   1833:       k[0]=1;
                   1834:       k[1]=-1;
                   1835:       printf("Max: %.12e",(*func)(p));
                   1836:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   1837:       for (j=1;j<=n;j++) {
                   1838:        printf(" %.12e",p[j]);
                   1839:        fprintf(ficlog," %.12e",p[j]);
                   1840:       }
                   1841:       printf("\n");
                   1842:       fprintf(ficlog,"\n");
                   1843:       for(l=0;l<=1;l++) {
                   1844:        for (j=1;j<=n;j++) {
                   1845:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   1846:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   1847:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   1848:        }
                   1849:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   1850:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   1851:       }
                   1852: #endif
                   1853: 
                   1854: 
                   1855:       free_vector(xit,1,n); 
                   1856:       free_vector(xits,1,n); 
                   1857:       free_vector(ptt,1,n); 
                   1858:       free_vector(pt,1,n); 
                   1859:       return; 
1.192     brouard  1860:     } /* enough precision */ 
1.126     brouard  1861:     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  1862:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  1863:       ptt[j]=2.0*p[j]-pt[j]; 
                   1864:       xit[j]=p[j]-pt[j]; 
                   1865:       pt[j]=p[j]; 
                   1866:     } 
1.181     brouard  1867:     fptt=(*func)(ptt); /* f_3 */
1.192     brouard  1868: #ifdef POWELLF1F3
                   1869: #else
1.161     brouard  1870:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.192     brouard  1871: #endif
1.162     brouard  1872:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  1873:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  1874:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   1875:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   1876:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.181     brouard  1877:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del */
1.161     brouard  1878:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.183     brouard  1879: #ifdef NRCORIGINAL
                   1880:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   1881: #else
                   1882:       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  1883:       t= t- del*SQR(fp-fptt);
1.183     brouard  1884: #endif
1.202     brouard  1885:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
1.161     brouard  1886: #ifdef DEBUG
1.181     brouard  1887:       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);
                   1888:       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  1889:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   1890:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   1891:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   1892:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   1893:       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);
                   1894:       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);
                   1895: #endif
1.183     brouard  1896: #ifdef POWELLORIGINAL
                   1897:       if (t < 0.0) { /* Then we use it for new direction */
                   1898: #else
1.182     brouard  1899:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.202     brouard  1900:        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  1901:         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  1902:         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  1903:         fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   1904:       } 
1.181     brouard  1905:       if (directest < 0.0) { /* Then we use it for new direction */
                   1906: #endif
1.191     brouard  1907: #ifdef DEBUGLINMIN
                   1908:        printf("Before linmin in direction P%d-P0\n",n);
                   1909:        for (j=1;j<=n;j++) { 
1.202     brouard  1910:          printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   1911:          fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   1912:          if(j % ncovmodel == 0){
1.191     brouard  1913:            printf("\n");
1.202     brouard  1914:            fprintf(ficlog,"\n");
                   1915:          }
1.191     brouard  1916:        }
                   1917: #endif
1.187     brouard  1918:        linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
1.191     brouard  1919: #ifdef DEBUGLINMIN
                   1920:        for (j=1;j<=n;j++) { 
                   1921:          printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
1.202     brouard  1922:          fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   1923:          if(j % ncovmodel == 0){
1.191     brouard  1924:            printf("\n");
1.202     brouard  1925:            fprintf(ficlog,"\n");
                   1926:          }
1.191     brouard  1927:        }
                   1928: #endif
1.126     brouard  1929:        for (j=1;j<=n;j++) { 
1.181     brouard  1930:          xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   1931:          xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
1.126     brouard  1932:        }
1.181     brouard  1933:        printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   1934:        fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
1.161     brouard  1935: 
1.126     brouard  1936: #ifdef DEBUG
1.164     brouard  1937:        printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   1938:        fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
1.126     brouard  1939:        for(j=1;j<=n;j++){
                   1940:          printf(" %.12e",xit[j]);
                   1941:          fprintf(ficlog," %.12e",xit[j]);
                   1942:        }
                   1943:        printf("\n");
                   1944:        fprintf(ficlog,"\n");
                   1945: #endif
1.192     brouard  1946:       } /* end of t or directest negative */
                   1947: #ifdef POWELLF1F3
                   1948: #else
1.162     brouard  1949:     } /* end if (fptt < fp)  */
1.192     brouard  1950: #endif
                   1951:   } /* loop iteration */ 
1.126     brouard  1952: } 
                   1953: 
                   1954: /**** Prevalence limit (stable or period prevalence)  ****************/
                   1955: 
1.203     brouard  1956: double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int *ncvyear, int ij)
1.126     brouard  1957: {
                   1958:   /* Computes the prevalence limit in each live state at age x by left multiplying the unit
1.203     brouard  1959:      matrix by transitions matrix until convergence is reached with precision ftolpl */
1.169     brouard  1960:   
1.126     brouard  1961:   int i, ii,j,k;
                   1962:   double min, max, maxmin, maxmax,sumnew=0.;
1.145     brouard  1963:   /* double **matprod2(); */ /* test */
1.131     brouard  1964:   double **out, cov[NCOVMAX+1], **pmij();
1.126     brouard  1965:   double **newm;
1.202     brouard  1966:   double agefin, delaymax=100 ; /* Max number of years to converge */
1.203     brouard  1967:   int ncvloop=0;
1.169     brouard  1968:   
1.126     brouard  1969:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   1970:     for (j=1;j<=nlstate+ndeath;j++){
                   1971:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   1972:     }
1.169     brouard  1973:   
                   1974:   cov[1]=1.;
                   1975:   
                   1976:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.202     brouard  1977:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.126     brouard  1978:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
1.202     brouard  1979:     ncvloop++;
1.126     brouard  1980:     newm=savm;
                   1981:     /* Covariates have to be included here again */
1.138     brouard  1982:     cov[2]=agefin;
1.187     brouard  1983:     if(nagesqr==1)
                   1984:       cov[3]= agefin*agefin;;
1.138     brouard  1985:     for (k=1; k<=cptcovn;k++) {
1.200     brouard  1986:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
                   1987:       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
1.198     brouard  1988:       /* 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  1989:     }
1.186     brouard  1990:     /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200     brouard  1991:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
                   1992:     for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
1.186     brouard  1993:     for (k=1; k<=cptcovprod;k++) /* Useless */
1.200     brouard  1994:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                   1995:       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
1.138     brouard  1996:     
                   1997:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   1998:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   1999:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  2000:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2001:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.142     brouard  2002:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  2003:     
1.126     brouard  2004:     savm=oldm;
                   2005:     oldm=newm;
                   2006:     maxmax=0.;
                   2007:     for(j=1;j<=nlstate;j++){
                   2008:       min=1.;
                   2009:       max=0.;
                   2010:       for(i=1; i<=nlstate; i++) {
                   2011:        sumnew=0;
                   2012:        for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   2013:        prlim[i][j]= newm[i][j]/(1-sumnew);
                   2014:        max=FMAX(max,prlim[i][j]);
                   2015:        min=FMIN(min,prlim[i][j]);
1.202     brouard  2016:         /* 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  2017:       }
1.203     brouard  2018:       maxmin=(max-min)/(max+min)*2;
1.126     brouard  2019:       maxmax=FMAX(maxmax,maxmin);
1.169     brouard  2020:     } /* j loop */
1.203     brouard  2021:     *ncvyear= (int)age- (int)agefin;
                   2022:     /* 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  2023:     if(maxmax < ftolpl){
1.203     brouard  2024:       /* 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  2025:       return prlim;
                   2026:     }
1.169     brouard  2027:   } /* age loop */
1.203     brouard  2028:   printf("Warning: the stable prevalence at age %d did not converge with the required precision %g > ftolpl=%g. \n\
                   2029: 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);
                   2030: /* 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  2031:   return prlim; /* should not reach here */
1.126     brouard  2032: }
                   2033: 
                   2034: /*************** transition probabilities ***************/ 
                   2035: 
                   2036: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   2037: {
1.138     brouard  2038:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   2039:      computes the probability to be observed in state j being in state i by appying the
                   2040:      model to the ncovmodel covariates (including constant and age).
                   2041:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2042:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2043:      ncth covariate in the global vector x is given by the formula:
                   2044:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2045:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2046:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2047:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   2048:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   2049:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   2050:   */
                   2051:   double s1, lnpijopii;
1.126     brouard  2052:   /*double t34;*/
1.164     brouard  2053:   int i,j, nc, ii, jj;
1.126     brouard  2054: 
                   2055:     for(i=1; i<= nlstate; i++){
                   2056:       for(j=1; j<i;j++){
1.138     brouard  2057:        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2058:          /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   2059:          lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   2060: /*      printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
1.126     brouard  2061:        }
1.138     brouard  2062:        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2063: /*     printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
1.126     brouard  2064:       }
                   2065:       for(j=i+1; j<=nlstate+ndeath;j++){
1.138     brouard  2066:        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2067:          /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   2068:          lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   2069: /*       printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
1.126     brouard  2070:        }
1.138     brouard  2071:        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
1.126     brouard  2072:       }
                   2073:     }
                   2074:     
                   2075:     for(i=1; i<= nlstate; i++){
                   2076:       s1=0;
1.131     brouard  2077:       for(j=1; j<i; j++){
1.138     brouard  2078:        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
1.131     brouard  2079:        /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2080:       }
                   2081:       for(j=i+1; j<=nlstate+ndeath; j++){
1.138     brouard  2082:        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
1.131     brouard  2083:        /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2084:       }
1.138     brouard  2085:       /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
1.126     brouard  2086:       ps[i][i]=1./(s1+1.);
1.138     brouard  2087:       /* Computing other pijs */
1.126     brouard  2088:       for(j=1; j<i; j++)
                   2089:        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2090:       for(j=i+1; j<=nlstate+ndeath; j++)
                   2091:        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2092:       /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2093:     } /* end i */
                   2094:     
                   2095:     for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   2096:       for(jj=1; jj<= nlstate+ndeath; jj++){
                   2097:        ps[ii][jj]=0;
                   2098:        ps[ii][ii]=1;
                   2099:       }
                   2100:     }
                   2101:     
1.145     brouard  2102:     
                   2103:     /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   2104:     /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   2105:     /*         printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   2106:     /*   } */
                   2107:     /*   printf("\n "); */
                   2108:     /* } */
                   2109:     /* printf("\n ");printf("%lf ",cov[2]);*/
                   2110:     /*
1.126     brouard  2111:       for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   2112:       goto end;*/
                   2113:     return ps;
                   2114: }
                   2115: 
                   2116: /**************** Product of 2 matrices ******************/
                   2117: 
1.145     brouard  2118: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  2119: {
                   2120:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   2121:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   2122:   /* in, b, out are matrice of pointers which should have been initialized 
                   2123:      before: only the contents of out is modified. The function returns
                   2124:      a pointer to pointers identical to out */
1.145     brouard  2125:   int i, j, k;
1.126     brouard  2126:   for(i=nrl; i<= nrh; i++)
1.145     brouard  2127:     for(k=ncolol; k<=ncoloh; k++){
                   2128:       out[i][k]=0.;
                   2129:       for(j=ncl; j<=nch; j++)
                   2130:        out[i][k] +=in[i][j]*b[j][k];
                   2131:     }
1.126     brouard  2132:   return out;
                   2133: }
                   2134: 
                   2135: 
                   2136: /************* Higher Matrix Product ***************/
                   2137: 
                   2138: double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
                   2139: {
                   2140:   /* Computes the transition matrix starting at age 'age' over 
                   2141:      'nhstepm*hstepm*stepm' months (i.e. until
                   2142:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   2143:      nhstepm*hstepm matrices. 
                   2144:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   2145:      (typically every 2 years instead of every month which is too big 
                   2146:      for the memory).
                   2147:      Model is determined by parameters x and covariates have to be 
                   2148:      included manually here. 
                   2149: 
                   2150:      */
                   2151: 
                   2152:   int i, j, d, h, k;
1.131     brouard  2153:   double **out, cov[NCOVMAX+1];
1.126     brouard  2154:   double **newm;
1.187     brouard  2155:   double agexact;
1.126     brouard  2156: 
                   2157:   /* Hstepm could be zero and should return the unit matrix */
                   2158:   for (i=1;i<=nlstate+ndeath;i++)
                   2159:     for (j=1;j<=nlstate+ndeath;j++){
                   2160:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   2161:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   2162:     }
                   2163:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2164:   for(h=1; h <=nhstepm; h++){
                   2165:     for(d=1; d <=hstepm; d++){
                   2166:       newm=savm;
                   2167:       /* Covariates have to be included here again */
                   2168:       cov[1]=1.;
1.187     brouard  2169:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
                   2170:       cov[2]=agexact;
                   2171:       if(nagesqr==1)
                   2172:        cov[3]= agexact*agexact;
1.131     brouard  2173:       for (k=1; k<=cptcovn;k++) 
1.200     brouard  2174:        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2175:        /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.186     brouard  2176:       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
                   2177:        /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200     brouard  2178:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2179:        /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
1.145     brouard  2180:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
1.200     brouard  2181:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2182:        /* 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  2183: 
                   2184: 
                   2185:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   2186:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
                   2187:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   2188:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2189:       savm=oldm;
                   2190:       oldm=newm;
                   2191:     }
                   2192:     for(i=1; i<=nlstate+ndeath; i++)
                   2193:       for(j=1;j<=nlstate+ndeath;j++) {
                   2194:        po[i][j][h]=newm[i][j];
1.128     brouard  2195:        /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  2196:       }
1.128     brouard  2197:     /*printf("h=%d ",h);*/
1.126     brouard  2198:   } /* end h */
1.128     brouard  2199: /*     printf("\n H=%d \n",h); */
1.126     brouard  2200:   return po;
                   2201: }
                   2202: 
1.162     brouard  2203: #ifdef NLOPT
                   2204:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   2205:   double fret;
                   2206:   double *xt;
                   2207:   int j;
                   2208:   myfunc_data *d2 = (myfunc_data *) pd;
                   2209: /* xt = (p1-1); */
                   2210:   xt=vector(1,n); 
                   2211:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   2212: 
                   2213:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   2214:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   2215:   printf("Function = %.12lf ",fret);
                   2216:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   2217:   printf("\n");
                   2218:  free_vector(xt,1,n);
                   2219:   return fret;
                   2220: }
                   2221: #endif
1.126     brouard  2222: 
                   2223: /*************** log-likelihood *************/
                   2224: double func( double *x)
                   2225: {
                   2226:   int i, ii, j, k, mi, d, kk;
1.131     brouard  2227:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  2228:   double **out;
                   2229:   double sw; /* Sum of weights */
                   2230:   double lli; /* Individual log likelihood */
                   2231:   int s1, s2;
                   2232:   double bbh, survp;
                   2233:   long ipmx;
1.187     brouard  2234:   double agexact;
1.126     brouard  2235:   /*extern weight */
                   2236:   /* We are differentiating ll according to initial status */
                   2237:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   2238:   /*for(i=1;i<imx;i++) 
                   2239:     printf(" %d\n",s[4][i]);
                   2240:   */
1.162     brouard  2241: 
                   2242:   ++countcallfunc;
                   2243: 
1.126     brouard  2244:   cov[1]=1.;
                   2245: 
                   2246:   for(k=1; k<=nlstate; k++) ll[k]=0.;
                   2247: 
                   2248:   if(mle==1){
                   2249:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.138     brouard  2250:       /* Computes the values of the ncovmodel covariates of the model
                   2251:         depending if the covariates are fixed or variying (age dependent) and stores them in cov[]
                   2252:         Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                   2253:         to be observed in j being in i according to the model.
                   2254:        */
1.145     brouard  2255:       for (k=1; k<=cptcovn;k++){ /* Simple and product covariates without age* products */
1.187     brouard  2256:          cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.145     brouard  2257:       }
1.137     brouard  2258:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
1.138     brouard  2259:         is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
1.137     brouard  2260:         has been calculated etc */
1.126     brouard  2261:       for(mi=1; mi<= wav[i]-1; mi++){
                   2262:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2263:          for (j=1;j<=nlstate+ndeath;j++){
                   2264:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2265:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2266:          }
                   2267:        for(d=0; d<dh[mi][i]; d++){
                   2268:          newm=savm;
1.187     brouard  2269:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2270:          cov[2]=agexact;
                   2271:          if(nagesqr==1)
                   2272:            cov[3]= agexact*agexact;
1.126     brouard  2273:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2274:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
1.126     brouard  2275:          }
                   2276:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2277:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2278:          savm=oldm;
                   2279:          oldm=newm;
                   2280:        } /* end mult */
                   2281:       
                   2282:        /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   2283:        /* But now since version 0.9 we anticipate for bias at large stepm.
                   2284:         * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   2285:         * (in months) between two waves is not a multiple of stepm, we rounded to 
                   2286:         * the nearest (and in case of equal distance, to the lowest) interval but now
                   2287:         * we keep into memory the bias bh[mi][i] and also the previous matrix product
                   2288:         * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                   2289:         * probability in order to take into account the bias as a fraction of the way
                   2290:         * from savm to out if bh is negative or even beyond if bh is positive. bh varies
                   2291:         * -stepm/2 to stepm/2 .
                   2292:         * For stepm=1 the results are the same as for previous versions of Imach.
                   2293:         * For stepm > 1 the results are less biased than in previous versions. 
                   2294:         */
                   2295:        s1=s[mw[mi][i]][i];
                   2296:        s2=s[mw[mi+1][i]][i];
                   2297:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2298:        /* bias bh is positive if real duration
                   2299:         * is higher than the multiple of stepm and negative otherwise.
                   2300:         */
                   2301:        /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
                   2302:        if( s2 > nlstate){ 
                   2303:          /* i.e. if s2 is a death state and if the date of death is known 
                   2304:             then the contribution to the likelihood is the probability to 
                   2305:             die between last step unit time and current  step unit time, 
                   2306:             which is also equal to probability to die before dh 
                   2307:             minus probability to die before dh-stepm . 
                   2308:             In version up to 0.92 likelihood was computed
                   2309:        as if date of death was unknown. Death was treated as any other
                   2310:        health state: the date of the interview describes the actual state
                   2311:        and not the date of a change in health state. The former idea was
                   2312:        to consider that at each interview the state was recorded
                   2313:        (healthy, disable or death) and IMaCh was corrected; but when we
                   2314:        introduced the exact date of death then we should have modified
                   2315:        the contribution of an exact death to the likelihood. This new
                   2316:        contribution is smaller and very dependent of the step unit
                   2317:        stepm. It is no more the probability to die between last interview
                   2318:        and month of death but the probability to survive from last
                   2319:        interview up to one month before death multiplied by the
                   2320:        probability to die within a month. Thanks to Chris
                   2321:        Jackson for correcting this bug.  Former versions increased
                   2322:        mortality artificially. The bad side is that we add another loop
                   2323:        which slows down the processing. The difference can be up to 10%
                   2324:        lower mortality.
                   2325:          */
1.183     brouard  2326:        /* If, at the beginning of the maximization mostly, the
                   2327:           cumulative probability or probability to be dead is
                   2328:           constant (ie = 1) over time d, the difference is equal to
                   2329:           0.  out[s1][3] = savm[s1][3]: probability, being at state
                   2330:           s1 at precedent wave, to be dead a month before current
                   2331:           wave is equal to probability, being at state s1 at
                   2332:           precedent wave, to be dead at mont of the current
                   2333:           wave. Then the observed probability (that this person died)
                   2334:           is null according to current estimated parameter. In fact,
                   2335:           it should be very low but not zero otherwise the log go to
                   2336:           infinity.
                   2337:        */
                   2338: /* #ifdef INFINITYORIGINAL */
                   2339: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   2340: /* #else */
                   2341: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   2342: /*         lli=log(mytinydouble); */
                   2343: /*       else */
                   2344: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   2345: /* #endif */
                   2346:            lli=log(out[s1][s2] - savm[s1][s2]);
1.126     brouard  2347: 
                   2348:        } else if  (s2==-2) {
                   2349:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   2350:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2351:          /*survp += out[s1][j]; */
                   2352:          lli= log(survp);
                   2353:        }
                   2354:        
                   2355:        else if  (s2==-4) { 
                   2356:          for (j=3,survp=0. ; j<=nlstate; j++)  
                   2357:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2358:          lli= log(survp); 
                   2359:        } 
                   2360: 
                   2361:        else if  (s2==-5) { 
                   2362:          for (j=1,survp=0. ; j<=2; j++)  
                   2363:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2364:          lli= log(survp); 
                   2365:        } 
                   2366:        
                   2367:        else{
                   2368:          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2369:          /*  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 */
                   2370:        } 
                   2371:        /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                   2372:        /*if(lli ==000.0)*/
                   2373:        /*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); */
                   2374:        ipmx +=1;
                   2375:        sw += weight[i];
                   2376:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.183     brouard  2377:        /* if (lli < log(mytinydouble)){ */
                   2378:        /*   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); */
                   2379:        /*   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]); */
                   2380:        /* } */
1.126     brouard  2381:       } /* end of wave */
                   2382:     } /* end of individual */
                   2383:   }  else if(mle==2){
                   2384:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2385:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2386:       for(mi=1; mi<= wav[i]-1; mi++){
                   2387:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2388:          for (j=1;j<=nlstate+ndeath;j++){
                   2389:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2390:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2391:          }
                   2392:        for(d=0; d<=dh[mi][i]; d++){
                   2393:          newm=savm;
1.187     brouard  2394:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2395:          cov[2]=agexact;
                   2396:          if(nagesqr==1)
                   2397:            cov[3]= agexact*agexact;
1.126     brouard  2398:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2399:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2400:          }
                   2401:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2402:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2403:          savm=oldm;
                   2404:          oldm=newm;
                   2405:        } /* end mult */
                   2406:       
                   2407:        s1=s[mw[mi][i]][i];
                   2408:        s2=s[mw[mi+1][i]][i];
                   2409:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2410:        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 */
                   2411:        ipmx +=1;
                   2412:        sw += weight[i];
                   2413:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2414:       } /* end of wave */
                   2415:     } /* end of individual */
                   2416:   }  else if(mle==3){  /* exponential inter-extrapolation */
                   2417:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2418:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2419:       for(mi=1; mi<= wav[i]-1; mi++){
                   2420:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2421:          for (j=1;j<=nlstate+ndeath;j++){
                   2422:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2423:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2424:          }
                   2425:        for(d=0; d<dh[mi][i]; d++){
                   2426:          newm=savm;
1.187     brouard  2427:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2428:          cov[2]=agexact;
                   2429:          if(nagesqr==1)
                   2430:            cov[3]= agexact*agexact;
1.126     brouard  2431:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2432:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2433:          }
                   2434:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2435:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2436:          savm=oldm;
                   2437:          oldm=newm;
                   2438:        } /* end mult */
                   2439:       
                   2440:        s1=s[mw[mi][i]][i];
                   2441:        s2=s[mw[mi+1][i]][i];
                   2442:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2443:        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 */
                   2444:        ipmx +=1;
                   2445:        sw += weight[i];
                   2446:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2447:       } /* end of wave */
                   2448:     } /* end of individual */
                   2449:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
                   2450:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2451:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2452:       for(mi=1; mi<= wav[i]-1; mi++){
                   2453:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2454:          for (j=1;j<=nlstate+ndeath;j++){
                   2455:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2456:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2457:          }
                   2458:        for(d=0; d<dh[mi][i]; d++){
                   2459:          newm=savm;
1.187     brouard  2460:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2461:          cov[2]=agexact;
                   2462:          if(nagesqr==1)
                   2463:            cov[3]= agexact*agexact;
1.126     brouard  2464:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2465:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2466:          }
                   2467:        
                   2468:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2469:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2470:          savm=oldm;
                   2471:          oldm=newm;
                   2472:        } /* end mult */
                   2473:       
                   2474:        s1=s[mw[mi][i]][i];
                   2475:        s2=s[mw[mi+1][i]][i];
                   2476:        if( s2 > nlstate){ 
                   2477:          lli=log(out[s1][s2] - savm[s1][s2]);
                   2478:        }else{
                   2479:          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   2480:        }
                   2481:        ipmx +=1;
                   2482:        sw += weight[i];
                   2483:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2484: /*     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]); */
                   2485:       } /* end of wave */
                   2486:     } /* end of individual */
                   2487:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
                   2488:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2489:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2490:       for(mi=1; mi<= wav[i]-1; mi++){
                   2491:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2492:          for (j=1;j<=nlstate+ndeath;j++){
                   2493:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2494:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2495:          }
                   2496:        for(d=0; d<dh[mi][i]; d++){
                   2497:          newm=savm;
1.187     brouard  2498:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2499:          cov[2]=agexact;
                   2500:          if(nagesqr==1)
                   2501:            cov[3]= agexact*agexact;
1.126     brouard  2502:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2503:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2504:          }
                   2505:        
                   2506:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2507:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2508:          savm=oldm;
                   2509:          oldm=newm;
                   2510:        } /* end mult */
                   2511:       
                   2512:        s1=s[mw[mi][i]][i];
                   2513:        s2=s[mw[mi+1][i]][i];
                   2514:        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   2515:        ipmx +=1;
                   2516:        sw += weight[i];
                   2517:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2518:        /*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]);*/
                   2519:       } /* end of wave */
                   2520:     } /* end of individual */
                   2521:   } /* End of if */
                   2522:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   2523:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   2524:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   2525:   return -l;
                   2526: }
                   2527: 
                   2528: /*************** log-likelihood *************/
                   2529: double funcone( double *x)
                   2530: {
                   2531:   /* Same as likeli but slower because of a lot of printf and if */
                   2532:   int i, ii, j, k, mi, d, kk;
1.131     brouard  2533:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  2534:   double **out;
                   2535:   double lli; /* Individual log likelihood */
                   2536:   double llt;
                   2537:   int s1, s2;
                   2538:   double bbh, survp;
1.187     brouard  2539:   double agexact;
1.126     brouard  2540:   /*extern weight */
                   2541:   /* We are differentiating ll according to initial status */
                   2542:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   2543:   /*for(i=1;i<imx;i++) 
                   2544:     printf(" %d\n",s[4][i]);
                   2545:   */
                   2546:   cov[1]=1.;
                   2547: 
                   2548:   for(k=1; k<=nlstate; k++) ll[k]=0.;
                   2549: 
                   2550:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2551:     for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2552:     for(mi=1; mi<= wav[i]-1; mi++){
                   2553:       for (ii=1;ii<=nlstate+ndeath;ii++)
                   2554:        for (j=1;j<=nlstate+ndeath;j++){
                   2555:          oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2556:          savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2557:        }
                   2558:       for(d=0; d<dh[mi][i]; d++){
                   2559:        newm=savm;
1.187     brouard  2560:        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2561:        cov[2]=agexact;
                   2562:        if(nagesqr==1)
                   2563:          cov[3]= agexact*agexact;
1.126     brouard  2564:        for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2565:          cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2566:        }
1.187     brouard  2567: 
1.145     brouard  2568:        /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
1.126     brouard  2569:        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2570:                     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
1.145     brouard  2571:        /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
                   2572:        /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
1.126     brouard  2573:        savm=oldm;
                   2574:        oldm=newm;
                   2575:       } /* end mult */
                   2576:       
                   2577:       s1=s[mw[mi][i]][i];
                   2578:       s2=s[mw[mi+1][i]][i];
                   2579:       bbh=(double)bh[mi][i]/(double)stepm; 
                   2580:       /* bias is positive if real duration
                   2581:        * is higher than the multiple of stepm and negative otherwise.
                   2582:        */
                   2583:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
                   2584:        lli=log(out[s1][s2] - savm[s1][s2]);
                   2585:       } else if  (s2==-2) {
                   2586:        for (j=1,survp=0. ; j<=nlstate; j++) 
                   2587:          survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2588:        lli= log(survp);
                   2589:       }else if (mle==1){
                   2590:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2591:       } else if(mle==2){
                   2592:        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 */
                   2593:       } else if(mle==3){  /* exponential inter-extrapolation */
                   2594:        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 */
                   2595:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
                   2596:        lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  2597:       } else{  /* mle=0 back to 1 */
                   2598:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2599:        /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  2600:       } /* End of if */
                   2601:       ipmx +=1;
                   2602:       sw += weight[i];
                   2603:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  2604:       /*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  2605:       if(globpr){
1.205   ! brouard  2606:        fprintf(ficresilk,"%9ld %6.1f %6d %2d %2d %2d %2d %3d %11.6f %8.4f %8.3f\
1.126     brouard  2607:  %11.6f %11.6f %11.6f ", \
1.205   ! brouard  2608:                num[i], agexact, i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],weight[i]*gipmx/gsw,
1.126     brouard  2609:                2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
                   2610:        for(k=1,llt=0.,l=0.; k<=nlstate; k++){
                   2611:          llt +=ll[k]*gipmx/gsw;
                   2612:          fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                   2613:        }
                   2614:        fprintf(ficresilk," %10.6f\n", -llt);
                   2615:       }
                   2616:     } /* end of wave */
                   2617:   } /* end of individual */
                   2618:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   2619:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   2620:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   2621:   if(globpr==0){ /* First time we count the contributions and weights */
                   2622:     gipmx=ipmx;
                   2623:     gsw=sw;
                   2624:   }
                   2625:   return -l;
                   2626: }
                   2627: 
                   2628: 
                   2629: /*************** function likelione ***********/
                   2630: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
                   2631: {
                   2632:   /* This routine should help understanding what is done with 
                   2633:      the selection of individuals/waves and
                   2634:      to check the exact contribution to the likelihood.
                   2635:      Plotting could be done.
                   2636:    */
                   2637:   int k;
                   2638: 
                   2639:   if(*globpri !=0){ /* Just counts and sums, no printings */
1.201     brouard  2640:     strcpy(fileresilk,"ILK_"); 
1.202     brouard  2641:     strcat(fileresilk,fileresu);
1.126     brouard  2642:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   2643:       printf("Problem with resultfile: %s\n", fileresilk);
                   2644:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   2645:     }
1.205   ! brouard  2646:     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");
        !          2647:     fprintf(ficresilk, "#num_i age i s1 s2 mi mw dh likeli weight %weight 2wlli out sav ");
1.126     brouard  2648:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   2649:     for(k=1; k<=nlstate; k++) 
                   2650:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   2651:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   2652:   }
                   2653: 
                   2654:   *fretone=(*funcone)(p);
                   2655:   if(*globpri !=0){
                   2656:     fclose(ficresilk);
1.205   ! brouard  2657:     if (mle ==0)
        !          2658:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
        !          2659:     else if(mle >=1)
        !          2660:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
        !          2661:     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));
        !          2662: 
        !          2663:       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  2664: <img src=\"%s-ori.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.205   ! brouard  2665:       fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
1.204     brouard  2666: <img src=\"%s-dest.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.205   ! brouard  2667:       fflush(fichtm);
        !          2668:       
        !          2669:       for (k=1; k<= nlstate ; k++) {
        !          2670:        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  2671: <img src=\"%s-p%dj.png\">",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
1.205   ! brouard  2672:       }
        !          2673:   }
1.126     brouard  2674:   return;
                   2675: }
                   2676: 
                   2677: 
                   2678: /*********** Maximum Likelihood Estimation ***************/
                   2679: 
                   2680: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   2681: {
1.165     brouard  2682:   int i,j, iter=0;
1.126     brouard  2683:   double **xi;
                   2684:   double fret;
                   2685:   double fretone; /* Only one call to likelihood */
                   2686:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  2687: 
                   2688: #ifdef NLOPT
                   2689:   int creturn;
                   2690:   nlopt_opt opt;
                   2691:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   2692:   double *lb;
                   2693:   double minf; /* the minimum objective value, upon return */
                   2694:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   2695:   myfunc_data dinst, *d = &dinst;
                   2696: #endif
                   2697: 
                   2698: 
1.126     brouard  2699:   xi=matrix(1,npar,1,npar);
                   2700:   for (i=1;i<=npar;i++)
                   2701:     for (j=1;j<=npar;j++)
                   2702:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   2703:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.201     brouard  2704:   strcpy(filerespow,"POW_"); 
1.126     brouard  2705:   strcat(filerespow,fileres);
                   2706:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   2707:     printf("Problem with resultfile: %s\n", filerespow);
                   2708:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   2709:   }
                   2710:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   2711:   for (i=1;i<=nlstate;i++)
                   2712:     for(j=1;j<=nlstate+ndeath;j++)
                   2713:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   2714:   fprintf(ficrespow,"\n");
1.162     brouard  2715: #ifdef POWELL
1.126     brouard  2716:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.162     brouard  2717: #endif
1.126     brouard  2718: 
1.162     brouard  2719: #ifdef NLOPT
                   2720: #ifdef NEWUOA
                   2721:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   2722: #else
                   2723:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   2724: #endif
                   2725:   lb=vector(0,npar-1);
                   2726:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   2727:   nlopt_set_lower_bounds(opt, lb);
                   2728:   nlopt_set_initial_step1(opt, 0.1);
                   2729:   
                   2730:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   2731:   d->function = func;
                   2732:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   2733:   nlopt_set_min_objective(opt, myfunc, d);
                   2734:   nlopt_set_xtol_rel(opt, ftol);
                   2735:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   2736:     printf("nlopt failed! %d\n",creturn); 
                   2737:   }
                   2738:   else {
                   2739:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   2740:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   2741:     iter=1; /* not equal */
                   2742:   }
                   2743:   nlopt_destroy(opt);
                   2744: #endif
1.126     brouard  2745:   free_matrix(xi,1,npar,1,npar);
                   2746:   fclose(ficrespow);
1.203     brouard  2747:   printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   2748:   fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.180     brouard  2749:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  2750: 
                   2751: }
                   2752: 
                   2753: /**** Computes Hessian and covariance matrix ***/
1.203     brouard  2754: void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
1.126     brouard  2755: {
                   2756:   double  **a,**y,*x,pd;
1.203     brouard  2757:   /* double **hess; */
1.164     brouard  2758:   int i, j;
1.126     brouard  2759:   int *indx;
                   2760: 
                   2761:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
1.203     brouard  2762:   double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
1.126     brouard  2763:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   2764:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   2765:   double gompertz(double p[]);
1.203     brouard  2766:   /* hess=matrix(1,npar,1,npar); */
1.126     brouard  2767: 
                   2768:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   2769:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   2770:   for (i=1;i<=npar;i++){
1.203     brouard  2771:     printf("%d-",i);fflush(stdout);
                   2772:     fprintf(ficlog,"%d-",i);fflush(ficlog);
1.126     brouard  2773:    
                   2774:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   2775:     
                   2776:     /*  printf(" %f ",p[i]);
                   2777:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   2778:   }
                   2779:   
                   2780:   for (i=1;i<=npar;i++) {
                   2781:     for (j=1;j<=npar;j++)  {
                   2782:       if (j>i) { 
1.203     brouard  2783:        printf(".%d-%d",i,j);fflush(stdout);
                   2784:        fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
                   2785:        hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
1.126     brouard  2786:        
                   2787:        hess[j][i]=hess[i][j];    
                   2788:        /*printf(" %lf ",hess[i][j]);*/
                   2789:       }
                   2790:     }
                   2791:   }
                   2792:   printf("\n");
                   2793:   fprintf(ficlog,"\n");
                   2794: 
                   2795:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   2796:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   2797:   
                   2798:   a=matrix(1,npar,1,npar);
                   2799:   y=matrix(1,npar,1,npar);
                   2800:   x=vector(1,npar);
                   2801:   indx=ivector(1,npar);
                   2802:   for (i=1;i<=npar;i++)
                   2803:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   2804:   ludcmp(a,npar,indx,&pd);
                   2805: 
                   2806:   for (j=1;j<=npar;j++) {
                   2807:     for (i=1;i<=npar;i++) x[i]=0;
                   2808:     x[j]=1;
                   2809:     lubksb(a,npar,indx,x);
                   2810:     for (i=1;i<=npar;i++){ 
                   2811:       matcov[i][j]=x[i];
                   2812:     }
                   2813:   }
                   2814: 
                   2815:   printf("\n#Hessian matrix#\n");
                   2816:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   2817:   for (i=1;i<=npar;i++) { 
                   2818:     for (j=1;j<=npar;j++) { 
1.203     brouard  2819:       printf("%.6e ",hess[i][j]);
                   2820:       fprintf(ficlog,"%.6e ",hess[i][j]);
1.126     brouard  2821:     }
                   2822:     printf("\n");
                   2823:     fprintf(ficlog,"\n");
                   2824:   }
                   2825: 
1.203     brouard  2826:   /* printf("\n#Covariance matrix#\n"); */
                   2827:   /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
                   2828:   /* for (i=1;i<=npar;i++) {  */
                   2829:   /*   for (j=1;j<=npar;j++) {  */
                   2830:   /*     printf("%.6e ",matcov[i][j]); */
                   2831:   /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
                   2832:   /*   } */
                   2833:   /*   printf("\n"); */
                   2834:   /*   fprintf(ficlog,"\n"); */
                   2835:   /* } */
                   2836: 
1.126     brouard  2837:   /* Recompute Inverse */
1.203     brouard  2838:   /* for (i=1;i<=npar;i++) */
                   2839:   /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
                   2840:   /* ludcmp(a,npar,indx,&pd); */
                   2841: 
                   2842:   /*  printf("\n#Hessian matrix recomputed#\n"); */
                   2843: 
                   2844:   /* for (j=1;j<=npar;j++) { */
                   2845:   /*   for (i=1;i<=npar;i++) x[i]=0; */
                   2846:   /*   x[j]=1; */
                   2847:   /*   lubksb(a,npar,indx,x); */
                   2848:   /*   for (i=1;i<=npar;i++){  */
                   2849:   /*     y[i][j]=x[i]; */
                   2850:   /*     printf("%.3e ",y[i][j]); */
                   2851:   /*     fprintf(ficlog,"%.3e ",y[i][j]); */
                   2852:   /*   } */
                   2853:   /*   printf("\n"); */
                   2854:   /*   fprintf(ficlog,"\n"); */
                   2855:   /* } */
                   2856: 
                   2857:   /* Verifying the inverse matrix */
                   2858: #ifdef DEBUGHESS
                   2859:   y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
1.126     brouard  2860: 
1.203     brouard  2861:    printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
                   2862:    fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
1.126     brouard  2863: 
                   2864:   for (j=1;j<=npar;j++) {
                   2865:     for (i=1;i<=npar;i++){ 
1.203     brouard  2866:       printf("%.2f ",y[i][j]);
                   2867:       fprintf(ficlog,"%.2f ",y[i][j]);
1.126     brouard  2868:     }
                   2869:     printf("\n");
                   2870:     fprintf(ficlog,"\n");
                   2871:   }
1.203     brouard  2872: #endif
1.126     brouard  2873: 
                   2874:   free_matrix(a,1,npar,1,npar);
                   2875:   free_matrix(y,1,npar,1,npar);
                   2876:   free_vector(x,1,npar);
                   2877:   free_ivector(indx,1,npar);
1.203     brouard  2878:   /* free_matrix(hess,1,npar,1,npar); */
1.126     brouard  2879: 
                   2880: 
                   2881: }
                   2882: 
                   2883: /*************** hessian matrix ****************/
                   2884: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
1.203     brouard  2885: { /* Around values of x, computes the function func and returns the scales delti and hessian */
1.126     brouard  2886:   int i;
                   2887:   int l=1, lmax=20;
1.203     brouard  2888:   double k1,k2, res, fx;
1.132     brouard  2889:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  2890:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   2891:   int k=0,kmax=10;
                   2892:   double l1;
                   2893: 
                   2894:   fx=func(x);
                   2895:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  2896:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  2897:     l1=pow(10,l);
                   2898:     delts=delt;
                   2899:     for(k=1 ; k <kmax; k=k+1){
                   2900:       delt = delta*(l1*k);
                   2901:       p2[theta]=x[theta] +delt;
1.145     brouard  2902:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  2903:       p2[theta]=x[theta]-delt;
                   2904:       k2=func(p2)-fx;
                   2905:       /*res= (k1-2.0*fx+k2)/delt/delt; */
1.203     brouard  2906:       res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
1.126     brouard  2907:       
1.203     brouard  2908: #ifdef DEBUGHESSII
1.126     brouard  2909:       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);
                   2910:       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);
                   2911: #endif
                   2912:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   2913:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   2914:        k=kmax;
                   2915:       }
                   2916:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  2917:        k=kmax; l=lmax*10;
1.126     brouard  2918:       }
                   2919:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   2920:        delts=delt;
                   2921:       }
1.203     brouard  2922:     } /* End loop k */
1.126     brouard  2923:   }
                   2924:   delti[theta]=delts;
                   2925:   return res; 
                   2926:   
                   2927: }
                   2928: 
1.203     brouard  2929: double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
1.126     brouard  2930: {
                   2931:   int i;
1.164     brouard  2932:   int l=1, lmax=20;
1.126     brouard  2933:   double k1,k2,k3,k4,res,fx;
1.132     brouard  2934:   double p2[MAXPARM+1];
1.203     brouard  2935:   int k, kmax=1;
                   2936:   double v1, v2, cv12, lc1, lc2;
                   2937:   
1.126     brouard  2938:   fx=func(x);
1.203     brouard  2939:   for (k=1; k<=kmax; k=k+10) {
1.126     brouard  2940:     for (i=1;i<=npar;i++) p2[i]=x[i];
1.203     brouard  2941:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   2942:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  2943:     k1=func(p2)-fx;
                   2944:   
1.203     brouard  2945:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   2946:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  2947:     k2=func(p2)-fx;
                   2948:   
1.203     brouard  2949:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   2950:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  2951:     k3=func(p2)-fx;
                   2952:   
1.203     brouard  2953:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   2954:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  2955:     k4=func(p2)-fx;
1.203     brouard  2956:     res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */
                   2957:     if(k1*k2*k3*k4 <0.){
                   2958:       kmax=kmax+10;
                   2959:       if(kmax >=10){
                   2960:       printf("Warning: directions %d-%d, you are not estimating the Hessian at the exact maximum likelihood; increase ftol=%.2e\n",thetai,thetaj, ftol);
                   2961:       fprintf(ficlog,"Warning: directions %d-%d, you are not estimating the Hessian at the exact maximum likelihood; increase ftol=%.2e\n",thetai,thetaj, ftol);
                   2962:       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);
                   2963:       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);
                   2964:       }
                   2965:     }
                   2966: #ifdef DEBUGHESSIJ
                   2967:     v1=hess[thetai][thetai];
                   2968:     v2=hess[thetaj][thetaj];
                   2969:     cv12=res;
                   2970:     /* Computing eigen value of Hessian matrix */
                   2971:     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   2972:     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   2973:     if ((lc2 <0) || (lc1 <0) ){
                   2974:       printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   2975:       fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   2976:       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);
                   2977:       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);
                   2978:     }
1.126     brouard  2979: #endif
                   2980:   }
                   2981:   return res;
                   2982: }
                   2983: 
1.203     brouard  2984:     /* Not done yet: Was supposed to fix if not exactly at the maximum */
                   2985: /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
                   2986: /* { */
                   2987: /*   int i; */
                   2988: /*   int l=1, lmax=20; */
                   2989: /*   double k1,k2,k3,k4,res,fx; */
                   2990: /*   double p2[MAXPARM+1]; */
                   2991: /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
                   2992: /*   int k=0,kmax=10; */
                   2993: /*   double l1; */
                   2994:   
                   2995: /*   fx=func(x); */
                   2996: /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
                   2997: /*     l1=pow(10,l); */
                   2998: /*     delts=delt; */
                   2999: /*     for(k=1 ; k <kmax; k=k+1){ */
                   3000: /*       delt = delti*(l1*k); */
                   3001: /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
                   3002: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   3003: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   3004: /*       k1=func(p2)-fx; */
                   3005:       
                   3006: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   3007: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   3008: /*       k2=func(p2)-fx; */
                   3009:       
                   3010: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   3011: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   3012: /*       k3=func(p2)-fx; */
                   3013:       
                   3014: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   3015: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   3016: /*       k4=func(p2)-fx; */
                   3017: /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
                   3018: /* #ifdef DEBUGHESSIJ */
                   3019: /*       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); */
                   3020: /*       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); */
                   3021: /* #endif */
                   3022: /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
                   3023: /*     k=kmax; */
                   3024: /*       } */
                   3025: /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
                   3026: /*     k=kmax; l=lmax*10; */
                   3027: /*       } */
                   3028: /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
                   3029: /*     delts=delt; */
                   3030: /*       } */
                   3031: /*     } /\* End loop k *\/ */
                   3032: /*   } */
                   3033: /*   delti[theta]=delts; */
                   3034: /*   return res;  */
                   3035: /* } */
                   3036: 
                   3037: 
1.126     brouard  3038: /************** Inverse of matrix **************/
                   3039: void ludcmp(double **a, int n, int *indx, double *d) 
                   3040: { 
                   3041:   int i,imax,j,k; 
                   3042:   double big,dum,sum,temp; 
                   3043:   double *vv; 
                   3044:  
                   3045:   vv=vector(1,n); 
                   3046:   *d=1.0; 
                   3047:   for (i=1;i<=n;i++) { 
                   3048:     big=0.0; 
                   3049:     for (j=1;j<=n;j++) 
                   3050:       if ((temp=fabs(a[i][j])) > big) big=temp; 
                   3051:     if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
                   3052:     vv[i]=1.0/big; 
                   3053:   } 
                   3054:   for (j=1;j<=n;j++) { 
                   3055:     for (i=1;i<j;i++) { 
                   3056:       sum=a[i][j]; 
                   3057:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   3058:       a[i][j]=sum; 
                   3059:     } 
                   3060:     big=0.0; 
                   3061:     for (i=j;i<=n;i++) { 
                   3062:       sum=a[i][j]; 
                   3063:       for (k=1;k<j;k++) 
                   3064:        sum -= a[i][k]*a[k][j]; 
                   3065:       a[i][j]=sum; 
                   3066:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   3067:        big=dum; 
                   3068:        imax=i; 
                   3069:       } 
                   3070:     } 
                   3071:     if (j != imax) { 
                   3072:       for (k=1;k<=n;k++) { 
                   3073:        dum=a[imax][k]; 
                   3074:        a[imax][k]=a[j][k]; 
                   3075:        a[j][k]=dum; 
                   3076:       } 
                   3077:       *d = -(*d); 
                   3078:       vv[imax]=vv[j]; 
                   3079:     } 
                   3080:     indx[j]=imax; 
                   3081:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   3082:     if (j != n) { 
                   3083:       dum=1.0/(a[j][j]); 
                   3084:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   3085:     } 
                   3086:   } 
                   3087:   free_vector(vv,1,n);  /* Doesn't work */
                   3088: ;
                   3089: } 
                   3090: 
                   3091: void lubksb(double **a, int n, int *indx, double b[]) 
                   3092: { 
                   3093:   int i,ii=0,ip,j; 
                   3094:   double sum; 
                   3095:  
                   3096:   for (i=1;i<=n;i++) { 
                   3097:     ip=indx[i]; 
                   3098:     sum=b[ip]; 
                   3099:     b[ip]=b[i]; 
                   3100:     if (ii) 
                   3101:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   3102:     else if (sum) ii=i; 
                   3103:     b[i]=sum; 
                   3104:   } 
                   3105:   for (i=n;i>=1;i--) { 
                   3106:     sum=b[i]; 
                   3107:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   3108:     b[i]=sum/a[i][i]; 
                   3109:   } 
                   3110: } 
                   3111: 
                   3112: void pstamp(FILE *fichier)
                   3113: {
1.196     brouard  3114:   fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
1.126     brouard  3115: }
                   3116: 
                   3117: /************ Frequencies ********************/
                   3118: 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[])
                   3119: {  /* Some frequencies */
                   3120:   
1.164     brouard  3121:   int i, m, jk, j1, bool, z1,j;
1.126     brouard  3122:   int first;
                   3123:   double ***freq; /* Frequencies */
                   3124:   double *pp, **prop;
                   3125:   double pos,posprop, k2, dateintsum=0,k2cpt=0;
                   3126:   char fileresp[FILENAMELENGTH];
                   3127:   
                   3128:   pp=vector(1,nlstate);
                   3129:   prop=matrix(1,nlstate,iagemin,iagemax+3);
1.201     brouard  3130:   strcpy(fileresp,"P_");
                   3131:   strcat(fileresp,fileresu);
1.126     brouard  3132:   if((ficresp=fopen(fileresp,"w"))==NULL) {
                   3133:     printf("Problem with prevalence resultfile: %s\n", fileresp);
                   3134:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
                   3135:     exit(0);
                   3136:   }
                   3137:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin,iagemax+3);
                   3138:   j1=0;
                   3139:   
                   3140:   j=cptcoveff;
                   3141:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
                   3142: 
                   3143:   first=1;
                   3144: 
1.169     brouard  3145:   /* for(k1=1; k1<=j ; k1++){ */  /* Loop on covariates */
                   3146:   /*  for(i1=1; i1<=ncodemax[k1];i1++){ */ /* Now it is 2 */
                   3147:   /*    j1++; */
1.145     brouard  3148:   for (j1 = 1; j1 <= (int) pow(2,cptcoveff); j1++){
1.126     brouard  3149:       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
                   3150:        scanf("%d", i);*/
                   3151:       for (i=-5; i<=nlstate+ndeath; i++)  
                   3152:        for (jk=-5; jk<=nlstate+ndeath; jk++)  
                   3153:          for(m=iagemin; m <= iagemax+3; m++)
                   3154:            freq[i][jk][m]=0;
1.143     brouard  3155:       
                   3156:       for (i=1; i<=nlstate; i++)  
                   3157:        for(m=iagemin; m <= iagemax+3; m++)
                   3158:          prop[i][m]=0;
1.126     brouard  3159:       
                   3160:       dateintsum=0;
                   3161:       k2cpt=0;
                   3162:       for (i=1; i<=imx; i++) {
                   3163:        bool=1;
1.144     brouard  3164:        if  (cptcovn>0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
                   3165:          for (z1=1; z1<=cptcoveff; z1++)       
1.198     brouard  3166:             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){
1.145     brouard  3167:                 /* Tests if the value of each of the covariates of i is equal to filter j1 */
1.144     brouard  3168:               bool=0;
1.198     brouard  3169:               /* 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", 
                   3170:                 bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
                   3171:                 j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
                   3172:               /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
1.144     brouard  3173:             } 
1.126     brouard  3174:        }
1.144     brouard  3175:  
1.126     brouard  3176:        if (bool==1){
                   3177:          for(m=firstpass; m<=lastpass; m++){
                   3178:            k2=anint[m][i]+(mint[m][i]/12.);
                   3179:            /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   3180:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   3181:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
                   3182:              if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
                   3183:              if (m<lastpass) {
                   3184:                freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
                   3185:                freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];
                   3186:              }
                   3187:              
                   3188:              if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {
                   3189:                dateintsum=dateintsum+k2;
                   3190:                k2cpt++;
                   3191:              }
                   3192:              /*}*/
                   3193:          }
                   3194:        }
1.145     brouard  3195:       } /* end i */
1.126     brouard  3196:        
                   3197:       /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
                   3198:       pstamp(ficresp);
                   3199:       if  (cptcovn>0) {
                   3200:        fprintf(ficresp, "\n#********** Variable "); 
1.198     brouard  3201:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  3202:        fprintf(ficresp, "**********\n#");
1.143     brouard  3203:        fprintf(ficlog, "\n#********** Variable "); 
1.198     brouard  3204:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.143     brouard  3205:        fprintf(ficlog, "**********\n#");
1.126     brouard  3206:       }
                   3207:       for(i=1; i<=nlstate;i++) 
                   3208:        fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
                   3209:       fprintf(ficresp, "\n");
                   3210:       
                   3211:       for(i=iagemin; i <= iagemax+3; i++){
                   3212:        if(i==iagemax+3){
                   3213:          fprintf(ficlog,"Total");
                   3214:        }else{
                   3215:          if(first==1){
                   3216:            first=0;
                   3217:            printf("See log file for details...\n");
                   3218:          }
                   3219:          fprintf(ficlog,"Age %d", i);
                   3220:        }
                   3221:        for(jk=1; jk <=nlstate ; jk++){
                   3222:          for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
                   3223:            pp[jk] += freq[jk][m][i]; 
                   3224:        }
                   3225:        for(jk=1; jk <=nlstate ; jk++){
                   3226:          for(m=-1, pos=0; m <=0 ; m++)
                   3227:            pos += freq[jk][m][i];
                   3228:          if(pp[jk]>=1.e-10){
                   3229:            if(first==1){
1.132     brouard  3230:              printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
1.126     brouard  3231:            }
                   3232:            fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
                   3233:          }else{
                   3234:            if(first==1)
                   3235:              printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   3236:            fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   3237:          }
                   3238:        }
                   3239: 
                   3240:        for(jk=1; jk <=nlstate ; jk++){
                   3241:          for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
                   3242:            pp[jk] += freq[jk][m][i];
                   3243:        }       
                   3244:        for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
                   3245:          pos += pp[jk];
                   3246:          posprop += prop[jk][i];
                   3247:        }
                   3248:        for(jk=1; jk <=nlstate ; jk++){
                   3249:          if(pos>=1.e-5){
                   3250:            if(first==1)
                   3251:              printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   3252:            fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   3253:          }else{
                   3254:            if(first==1)
                   3255:              printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   3256:            fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   3257:          }
                   3258:          if( i <= iagemax){
                   3259:            if(pos>=1.e-5){
                   3260:              fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
                   3261:              /*probs[i][jk][j1]= pp[jk]/pos;*/
                   3262:              /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
                   3263:            }
                   3264:            else
                   3265:              fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
                   3266:          }
                   3267:        }
                   3268:        
                   3269:        for(jk=-1; jk <=nlstate+ndeath; jk++)
                   3270:          for(m=-1; m <=nlstate+ndeath; m++)
                   3271:            if(freq[jk][m][i] !=0 ) {
                   3272:            if(first==1)
                   3273:              printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
                   3274:              fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
                   3275:            }
                   3276:        if(i <= iagemax)
                   3277:          fprintf(ficresp,"\n");
                   3278:        if(first==1)
                   3279:          printf("Others in log...\n");
                   3280:        fprintf(ficlog,"\n");
                   3281:       }
1.145     brouard  3282:       /*}*/
1.126     brouard  3283:   }
                   3284:   dateintmean=dateintsum/k2cpt; 
                   3285:  
                   3286:   fclose(ficresp);
                   3287:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin, iagemax+3);
                   3288:   free_vector(pp,1,nlstate);
                   3289:   free_matrix(prop,1,nlstate,iagemin, iagemax+3);
                   3290:   /* End of Freq */
                   3291: }
                   3292: 
                   3293: /************ Prevalence ********************/
                   3294: 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)
                   3295: {  
                   3296:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   3297:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   3298:      We still use firstpass and lastpass as another selection.
                   3299:   */
                   3300:  
1.164     brouard  3301:   int i, m, jk, j1, bool, z1,j;
                   3302: 
                   3303:   double **prop;
                   3304:   double posprop; 
1.126     brouard  3305:   double  y2; /* in fractional years */
                   3306:   int iagemin, iagemax;
1.145     brouard  3307:   int first; /** to stop verbosity which is redirected to log file */
1.126     brouard  3308: 
                   3309:   iagemin= (int) agemin;
                   3310:   iagemax= (int) agemax;
                   3311:   /*pp=vector(1,nlstate);*/
                   3312:   prop=matrix(1,nlstate,iagemin,iagemax+3); 
                   3313:   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   3314:   j1=0;
                   3315:   
1.145     brouard  3316:   /*j=cptcoveff;*/
1.126     brouard  3317:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
                   3318:   
1.145     brouard  3319:   first=1;
                   3320:   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){
                   3321:     /*for(i1=1; i1<=ncodemax[k1];i1++){
                   3322:       j1++;*/
1.126     brouard  3323:       
                   3324:       for (i=1; i<=nlstate; i++)  
                   3325:        for(m=iagemin; m <= iagemax+3; m++)
                   3326:          prop[i][m]=0.0;
                   3327:      
                   3328:       for (i=1; i<=imx; i++) { /* Each individual */
                   3329:        bool=1;
                   3330:        if  (cptcovn>0) {
                   3331:          for (z1=1; z1<=cptcoveff; z1++) 
1.198     brouard  3332:            if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) 
1.126     brouard  3333:              bool=0;
                   3334:        } 
                   3335:        if (bool==1) { 
                   3336:          for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
                   3337:            y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                   3338:            if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                   3339:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   3340:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
                   3341:              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); 
                   3342:              if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   3343:                /*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]]);*/
                   3344:                prop[s[m][i]][(int)agev[m][i]] += weight[i];
                   3345:                prop[s[m][i]][iagemax+3] += weight[i]; 
                   3346:              } 
                   3347:            }
                   3348:          } /* end selection of waves */
                   3349:        }
                   3350:       }
                   3351:       for(i=iagemin; i <= iagemax+3; i++){  
                   3352:        for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
                   3353:          posprop += prop[jk][i]; 
                   3354:        } 
1.145     brouard  3355:        
1.126     brouard  3356:        for(jk=1; jk <=nlstate ; jk++){     
                   3357:          if( i <=  iagemax){ 
                   3358:            if(posprop>=1.e-5){ 
                   3359:              probs[i][jk][j1]= prop[jk][i]/posprop;
1.145     brouard  3360:            } else{
                   3361:              if(first==1){
                   3362:                first=0;
                   3363:                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]);
                   3364:              }
                   3365:            }
1.126     brouard  3366:          } 
                   3367:        }/* end jk */ 
                   3368:       }/* end i */ 
1.145     brouard  3369:     /*} *//* end i1 */
                   3370:   } /* end j1 */
1.126     brouard  3371:   
                   3372:   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   3373:   /*free_vector(pp,1,nlstate);*/
                   3374:   free_matrix(prop,1,nlstate, iagemin,iagemax+3);
                   3375: }  /* End of prevalence */
                   3376: 
                   3377: /************* Waves Concatenation ***************/
                   3378: 
                   3379: 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)
                   3380: {
                   3381:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   3382:      Death is a valid wave (if date is known).
                   3383:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   3384:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   3385:      and mw[mi+1][i]. dh depends on stepm.
                   3386:      */
                   3387: 
                   3388:   int i, mi, m;
                   3389:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   3390:      double sum=0., jmean=0.;*/
                   3391:   int first;
                   3392:   int j, k=0,jk, ju, jl;
                   3393:   double sum=0.;
                   3394:   first=0;
1.164     brouard  3395:   jmin=100000;
1.126     brouard  3396:   jmax=-1;
                   3397:   jmean=0.;
                   3398:   for(i=1; i<=imx; i++){
                   3399:     mi=0;
                   3400:     m=firstpass;
                   3401:     while(s[m][i] <= nlstate){
                   3402:       if(s[m][i]>=1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5)
                   3403:        mw[++mi][i]=m;
                   3404:       if(m >=lastpass)
                   3405:        break;
                   3406:       else
                   3407:        m++;
                   3408:     }/* end while */
                   3409:     if (s[m][i] > nlstate){
                   3410:       mi++;    /* Death is another wave */
                   3411:       /* if(mi==0)  never been interviewed correctly before death */
                   3412:         /* Only death is a correct wave */
                   3413:       mw[mi][i]=m;
                   3414:     }
                   3415: 
                   3416:     wav[i]=mi;
                   3417:     if(mi==0){
                   3418:       nbwarn++;
                   3419:       if(first==0){
                   3420:        printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   3421:        first=1;
                   3422:       }
                   3423:       if(first==1){
                   3424:        fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
                   3425:       }
                   3426:     } /* end mi==0 */
                   3427:   } /* End individuals */
                   3428: 
                   3429:   for(i=1; i<=imx; i++){
                   3430:     for(mi=1; mi<wav[i];mi++){
                   3431:       if (stepm <=0)
                   3432:        dh[mi][i]=1;
                   3433:       else{
                   3434:        if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
                   3435:          if (agedc[i] < 2*AGESUP) {
                   3436:            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   3437:            if(j==0) j=1;  /* Survives at least one month after exam */
                   3438:            else if(j<0){
                   3439:              nberr++;
                   3440:              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]);
                   3441:              j=1; /* Temporary Dangerous patch */
                   3442:              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);
                   3443:              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]);
                   3444:              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);
                   3445:            }
                   3446:            k=k+1;
                   3447:            if (j >= jmax){
                   3448:              jmax=j;
                   3449:              ijmax=i;
                   3450:            }
                   3451:            if (j <= jmin){
                   3452:              jmin=j;
                   3453:              ijmin=i;
                   3454:            }
                   3455:            sum=sum+j;
                   3456:            /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   3457:            /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   3458:          }
                   3459:        }
                   3460:        else{
                   3461:          j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
                   3462: /*       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]); */
                   3463: 
                   3464:          k=k+1;
                   3465:          if (j >= jmax) {
                   3466:            jmax=j;
                   3467:            ijmax=i;
                   3468:          }
                   3469:          else if (j <= jmin){
                   3470:            jmin=j;
                   3471:            ijmin=i;
                   3472:          }
                   3473:          /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   3474:          /*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]);*/
                   3475:          if(j<0){
                   3476:            nberr++;
                   3477:            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]);
                   3478:            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]);
                   3479:          }
                   3480:          sum=sum+j;
                   3481:        }
                   3482:        jk= j/stepm;
                   3483:        jl= j -jk*stepm;
                   3484:        ju= j -(jk+1)*stepm;
                   3485:        if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   3486:          if(jl==0){
                   3487:            dh[mi][i]=jk;
                   3488:            bh[mi][i]=0;
                   3489:          }else{ /* We want a negative bias in order to only have interpolation ie
1.136     brouard  3490:                  * to avoid the price of an extra matrix product in likelihood */
1.126     brouard  3491:            dh[mi][i]=jk+1;
                   3492:            bh[mi][i]=ju;
                   3493:          }
                   3494:        }else{
                   3495:          if(jl <= -ju){
                   3496:            dh[mi][i]=jk;
                   3497:            bh[mi][i]=jl;       /* bias is positive if real duration
                   3498:                                 * is higher than the multiple of stepm and negative otherwise.
                   3499:                                 */
                   3500:          }
                   3501:          else{
                   3502:            dh[mi][i]=jk+1;
                   3503:            bh[mi][i]=ju;
                   3504:          }
                   3505:          if(dh[mi][i]==0){
                   3506:            dh[mi][i]=1; /* At least one step */
                   3507:            bh[mi][i]=ju; /* At least one step */
                   3508:            /*  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);*/
                   3509:          }
                   3510:        } /* end if mle */
                   3511:       }
                   3512:     } /* end wave */
                   3513:   }
                   3514:   jmean=sum/k;
                   3515:   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  3516:   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  3517:  }
                   3518: 
                   3519: /*********** Tricode ****************************/
1.145     brouard  3520: void tricode(int *Tvar, int **nbcode, int imx, int *Ndum)
1.126     brouard  3521: {
1.144     brouard  3522:   /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   3523:   /*     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  3524:    * Boring subroutine which should only output nbcode[Tvar[j]][k]
1.145     brouard  3525:    * Tvar[5] in V2+V1+V3*age+V2*V4 is 2 (V2)
1.169     brouard  3526:    * nbcode[Tvar[j]][1]= 
1.144     brouard  3527:   */
1.130     brouard  3528: 
1.145     brouard  3529:   int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
1.136     brouard  3530:   int modmaxcovj=0; /* Modality max of covariates j */
1.145     brouard  3531:   int cptcode=0; /* Modality max of covariates j */
                   3532:   int modmincovj=0; /* Modality min of covariates j */
                   3533: 
                   3534: 
1.126     brouard  3535:   cptcoveff=0; 
                   3536:  
1.144     brouard  3537:   for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.126     brouard  3538: 
1.145     brouard  3539:   /* Loop on covariates without age and products */
1.186     brouard  3540:   for (j=1; j<=(cptcovs); j++) { /* From model V1 + V2*age+ V3 + V3*V4 keeps V1 + V3 = 2 only */
1.192     brouard  3541:     for (k=-1; k < maxncov; k++) Ndum[k]=0;
1.186     brouard  3542:     for (i=1; i<=imx; i++) { /* Loop on individuals: reads the data file to get the maximum value of the 
1.136     brouard  3543:                               modality of this covariate Vj*/ 
1.145     brouard  3544:       ij=(int)(covar[Tvar[j]][i]); /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                   3545:                                    * If product of Vn*Vm, still boolean *:
                   3546:                                    * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                   3547:                                    * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
                   3548:       /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
1.136     brouard  3549:                                      modality of the nth covariate of individual i. */
1.145     brouard  3550:       if (ij > modmaxcovj)
                   3551:         modmaxcovj=ij; 
                   3552:       else if (ij < modmincovj) 
                   3553:        modmincovj=ij; 
                   3554:       if ((ij < -1) && (ij > NCOVMAX)){
                   3555:        printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
                   3556:        exit(1);
                   3557:       }else
1.136     brouard  3558:       Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
1.145     brouard  3559:       /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
1.126     brouard  3560:       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
1.136     brouard  3561:       /* getting the maximum value of the modality of the covariate
                   3562:         (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
                   3563:         female is 1, then modmaxcovj=1.*/
1.192     brouard  3564:     } /* end for loop on individuals i */
1.145     brouard  3565:     printf(" Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
1.192     brouard  3566:     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  3567:     cptcode=modmaxcovj;
1.137     brouard  3568:     /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
1.145     brouard  3569:    /*for (i=0; i<=cptcode; i++) {*/
1.192     brouard  3570:     for (k=modmincovj;  k<=modmaxcovj; k++) { /* k=-1 ? 0 and 1*//* For each value k of the modality of model-cov j */
                   3571:       printf("Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
                   3572:       fprintf(ficlog, "Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
                   3573:       if( Ndum[k] != 0 ){ /* Counts if nobody answered modality k ie empty modality, we skip it and reorder */
                   3574:        if( k != -1){
                   3575:          ncodemax[j]++;  /* ncodemax[j]= Number of modalities of the j th
                   3576:                             covariate for which somebody answered excluding 
                   3577:                             undefined. Usually 2: 0 and 1. */
                   3578:        }
                   3579:        ncodemaxwundef[j]++; /* ncodemax[j]= Number of modalities of the j th
                   3580:                             covariate for which somebody answered including 
                   3581:                             undefined. Usually 3: -1, 0 and 1. */
1.145     brouard  3582:       }
                   3583:       /* In fact  ncodemax[j]=2 (dichotom. variables only) but it could be more for
                   3584:         historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
1.131     brouard  3585:     } /* Ndum[-1] number of undefined modalities */
1.126     brouard  3586: 
1.136     brouard  3587:     /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
1.186     brouard  3588:     /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. 
                   3589:        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  3590:        modmincovj=3; modmaxcovj = 7;
1.186     brouard  3591:        There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3;
                   3592:        which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10;
                   3593:        defining two dummy variables: variables V1_1 and V1_2.
1.145     brouard  3594:        nbcode[Tvar[j]][ij]=k;
                   3595:        nbcode[Tvar[j]][1]=0;
                   3596:        nbcode[Tvar[j]][2]=1;
                   3597:        nbcode[Tvar[j]][3]=2;
1.197     brouard  3598:        To be continued (not working yet).
1.145     brouard  3599:     */
1.197     brouard  3600:     ij=0; /* ij is similar to i but can jump over null modalities */
                   3601:     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*/
                   3602:        if (Ndum[i] == 0) { /* If nobody responded to this modality k */
1.192     brouard  3603:          break;
                   3604:        }
                   3605:        ij++;
1.197     brouard  3606:        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  3607:        cptcode = ij; /* New max modality for covar j */
                   3608:     } /* end of loop on modality i=-1 to 1 or more */
                   3609:       
                   3610:     /*   for (k=0; k<= cptcode; k++) { /\* k=-1 ? k=0 to 1 *\//\* Could be 1 to 4 *\//\* cptcode=modmaxcovj *\/ */
                   3611:     /*         /\*recode from 0 *\/ */
                   3612:     /*                                      k is a modality. If we have model=V1+V1*sex  */
                   3613:     /*                                      then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
                   3614:     /*                                   But if some modality were not used, it is recoded from 0 to a newer modmaxcovj=cptcode *\/ */
                   3615:     /*         } */
                   3616:     /*         /\* cptcode = ij; *\/ /\* New max modality for covar j *\/ */
                   3617:     /*         if (ij > ncodemax[j]) { */
                   3618:     /*           printf( " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]);  */
                   3619:     /*           fprintf(ficlog, " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]); */
                   3620:     /*           break; */
                   3621:     /*         } */
                   3622:     /*   }  /\* end of loop on modality k *\/ */
1.137     brouard  3623:   } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/  
                   3624:   
1.145     brouard  3625:  for (k=-1; k< maxncov; k++) Ndum[k]=0; 
1.137     brouard  3626:   
1.187     brouard  3627:   for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
1.145     brouard  3628:    /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
                   3629:    ij=Tvar[i]; /* Tvar might be -1 if status was unknown */ 
1.187     brouard  3630:    Ndum[ij]++; /* Might be supersed V1 + V1*age */
1.145     brouard  3631:  } 
1.126     brouard  3632: 
1.192     brouard  3633:  ij=0;
1.145     brouard  3634:  for (i=0; i<=  maxncov-1; i++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
                   3635:    /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
1.126     brouard  3636:    if((Ndum[i]!=0) && (i<=ncovcol)){
1.192     brouard  3637:      ij++;
1.145     brouard  3638:      /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
                   3639:      Tvaraff[ij]=i; /*For printing (unclear) */
1.192     brouard  3640:    }else{
                   3641:        /* Tvaraff[ij]=0; */
                   3642:    }
1.126     brouard  3643:  }
1.192     brouard  3644:  /* ij--; */
1.144     brouard  3645:  cptcoveff=ij; /*Number of total covariates*/
1.145     brouard  3646: 
1.126     brouard  3647: }
                   3648: 
1.145     brouard  3649: 
1.126     brouard  3650: /*********** Health Expectancies ****************/
                   3651: 
1.127     brouard  3652: 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  3653: 
                   3654: {
                   3655:   /* Health expectancies, no variances */
1.164     brouard  3656:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  3657:   int nhstepma, nstepma; /* Decreasing with age */
                   3658:   double age, agelim, hf;
                   3659:   double ***p3mat;
                   3660:   double eip;
                   3661: 
                   3662:   pstamp(ficreseij);
                   3663:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   3664:   fprintf(ficreseij,"# Age");
                   3665:   for(i=1; i<=nlstate;i++){
                   3666:     for(j=1; j<=nlstate;j++){
                   3667:       fprintf(ficreseij," e%1d%1d ",i,j);
                   3668:     }
                   3669:     fprintf(ficreseij," e%1d. ",i);
                   3670:   }
                   3671:   fprintf(ficreseij,"\n");
                   3672: 
                   3673:   
                   3674:   if(estepm < stepm){
                   3675:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   3676:   }
                   3677:   else  hstepm=estepm;   
                   3678:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   3679:    * This is mainly to measure the difference between two models: for example
                   3680:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   3681:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   3682:    * progression in between and thus overestimating or underestimating according
                   3683:    * to the curvature of the survival function. If, for the same date, we 
                   3684:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   3685:    * to compare the new estimate of Life expectancy with the same linear 
                   3686:    * hypothesis. A more precise result, taking into account a more precise
                   3687:    * curvature will be obtained if estepm is as small as stepm. */
                   3688: 
                   3689:   /* For example we decided to compute the life expectancy with the smallest unit */
                   3690:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   3691:      nhstepm is the number of hstepm from age to agelim 
                   3692:      nstepm is the number of stepm from age to agelin. 
                   3693:      Look at hpijx to understand the reason of that which relies in memory size
                   3694:      and note for a fixed period like estepm months */
                   3695:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   3696:      survival function given by stepm (the optimization length). Unfortunately it
                   3697:      means that if the survival funtion is printed only each two years of age and if
                   3698:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   3699:      results. So we changed our mind and took the option of the best precision.
                   3700:   */
                   3701:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   3702: 
                   3703:   agelim=AGESUP;
                   3704:   /* If stepm=6 months */
                   3705:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   3706:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   3707:     
                   3708: /* nhstepm age range expressed in number of stepm */
                   3709:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   3710:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3711:   /* if (stepm >= YEARM) hstepm=1;*/
                   3712:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   3713:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3714: 
                   3715:   for (age=bage; age<=fage; age ++){ 
                   3716:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   3717:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3718:     /* if (stepm >= YEARM) hstepm=1;*/
                   3719:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   3720: 
                   3721:     /* If stepm=6 months */
                   3722:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   3723:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   3724:     
                   3725:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   3726:     
                   3727:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   3728:     
                   3729:     printf("%d|",(int)age);fflush(stdout);
                   3730:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   3731:     
                   3732:     /* Computing expectancies */
                   3733:     for(i=1; i<=nlstate;i++)
                   3734:       for(j=1; j<=nlstate;j++)
                   3735:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   3736:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   3737:          
                   3738:          /* 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]);*/
                   3739: 
                   3740:        }
                   3741: 
                   3742:     fprintf(ficreseij,"%3.0f",age );
                   3743:     for(i=1; i<=nlstate;i++){
                   3744:       eip=0;
                   3745:       for(j=1; j<=nlstate;j++){
                   3746:        eip +=eij[i][j][(int)age];
                   3747:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   3748:       }
                   3749:       fprintf(ficreseij,"%9.4f", eip );
                   3750:     }
                   3751:     fprintf(ficreseij,"\n");
                   3752:     
                   3753:   }
                   3754:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3755:   printf("\n");
                   3756:   fprintf(ficlog,"\n");
                   3757:   
                   3758: }
                   3759: 
1.127     brouard  3760: 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  3761: 
                   3762: {
                   3763:   /* Covariances of health expectancies eij and of total life expectancies according
                   3764:    to initial status i, ei. .
                   3765:   */
                   3766:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   3767:   int nhstepma, nstepma; /* Decreasing with age */
                   3768:   double age, agelim, hf;
                   3769:   double ***p3matp, ***p3matm, ***varhe;
                   3770:   double **dnewm,**doldm;
                   3771:   double *xp, *xm;
                   3772:   double **gp, **gm;
                   3773:   double ***gradg, ***trgradg;
                   3774:   int theta;
                   3775: 
                   3776:   double eip, vip;
                   3777: 
                   3778:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   3779:   xp=vector(1,npar);
                   3780:   xm=vector(1,npar);
                   3781:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   3782:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   3783:   
                   3784:   pstamp(ficresstdeij);
                   3785:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   3786:   fprintf(ficresstdeij,"# Age");
                   3787:   for(i=1; i<=nlstate;i++){
                   3788:     for(j=1; j<=nlstate;j++)
                   3789:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   3790:     fprintf(ficresstdeij," e%1d. ",i);
                   3791:   }
                   3792:   fprintf(ficresstdeij,"\n");
                   3793: 
                   3794:   pstamp(ficrescveij);
                   3795:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   3796:   fprintf(ficrescveij,"# Age");
                   3797:   for(i=1; i<=nlstate;i++)
                   3798:     for(j=1; j<=nlstate;j++){
                   3799:       cptj= (j-1)*nlstate+i;
                   3800:       for(i2=1; i2<=nlstate;i2++)
                   3801:        for(j2=1; j2<=nlstate;j2++){
                   3802:          cptj2= (j2-1)*nlstate+i2;
                   3803:          if(cptj2 <= cptj)
                   3804:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   3805:        }
                   3806:     }
                   3807:   fprintf(ficrescveij,"\n");
                   3808:   
                   3809:   if(estepm < stepm){
                   3810:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   3811:   }
                   3812:   else  hstepm=estepm;   
                   3813:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   3814:    * This is mainly to measure the difference between two models: for example
                   3815:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   3816:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   3817:    * progression in between and thus overestimating or underestimating according
                   3818:    * to the curvature of the survival function. If, for the same date, we 
                   3819:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   3820:    * to compare the new estimate of Life expectancy with the same linear 
                   3821:    * hypothesis. A more precise result, taking into account a more precise
                   3822:    * curvature will be obtained if estepm is as small as stepm. */
                   3823: 
                   3824:   /* For example we decided to compute the life expectancy with the smallest unit */
                   3825:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   3826:      nhstepm is the number of hstepm from age to agelim 
                   3827:      nstepm is the number of stepm from age to agelin. 
                   3828:      Look at hpijx to understand the reason of that which relies in memory size
                   3829:      and note for a fixed period like estepm months */
                   3830:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   3831:      survival function given by stepm (the optimization length). Unfortunately it
                   3832:      means that if the survival funtion is printed only each two years of age and if
                   3833:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   3834:      results. So we changed our mind and took the option of the best precision.
                   3835:   */
                   3836:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   3837: 
                   3838:   /* If stepm=6 months */
                   3839:   /* nhstepm age range expressed in number of stepm */
                   3840:   agelim=AGESUP;
                   3841:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   3842:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3843:   /* if (stepm >= YEARM) hstepm=1;*/
                   3844:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   3845:   
                   3846:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3847:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3848:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   3849:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   3850:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   3851:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   3852: 
                   3853:   for (age=bage; age<=fage; age ++){ 
                   3854:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   3855:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3856:     /* if (stepm >= YEARM) hstepm=1;*/
                   3857:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   3858: 
                   3859:     /* If stepm=6 months */
                   3860:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   3861:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   3862:     
                   3863:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   3864: 
                   3865:     /* Computing  Variances of health expectancies */
                   3866:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   3867:        decrease memory allocation */
                   3868:     for(theta=1; theta <=npar; theta++){
                   3869:       for(i=1; i<=npar; i++){ 
                   3870:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   3871:        xm[i] = x[i] - (i==theta ?delti[theta]:0);
                   3872:       }
                   3873:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
                   3874:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
                   3875:   
                   3876:       for(j=1; j<= nlstate; j++){
                   3877:        for(i=1; i<=nlstate; i++){
                   3878:          for(h=0; h<=nhstepm-1; h++){
                   3879:            gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
                   3880:            gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
                   3881:          }
                   3882:        }
                   3883:       }
                   3884:      
                   3885:       for(ij=1; ij<= nlstate*nlstate; ij++)
                   3886:        for(h=0; h<=nhstepm-1; h++){
                   3887:          gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
                   3888:        }
                   3889:     }/* End theta */
                   3890:     
                   3891:     
                   3892:     for(h=0; h<=nhstepm-1; h++)
                   3893:       for(j=1; j<=nlstate*nlstate;j++)
                   3894:        for(theta=1; theta <=npar; theta++)
                   3895:          trgradg[h][j][theta]=gradg[h][theta][j];
                   3896:     
                   3897: 
                   3898:      for(ij=1;ij<=nlstate*nlstate;ij++)
                   3899:       for(ji=1;ji<=nlstate*nlstate;ji++)
                   3900:        varhe[ij][ji][(int)age] =0.;
                   3901: 
                   3902:      printf("%d|",(int)age);fflush(stdout);
                   3903:      fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   3904:      for(h=0;h<=nhstepm-1;h++){
                   3905:       for(k=0;k<=nhstepm-1;k++){
                   3906:        matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
                   3907:        matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
                   3908:        for(ij=1;ij<=nlstate*nlstate;ij++)
                   3909:          for(ji=1;ji<=nlstate*nlstate;ji++)
                   3910:            varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
                   3911:       }
                   3912:     }
                   3913: 
                   3914:     /* Computing expectancies */
                   3915:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   3916:     for(i=1; i<=nlstate;i++)
                   3917:       for(j=1; j<=nlstate;j++)
                   3918:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   3919:          eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
                   3920:          
                   3921:          /* 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]);*/
                   3922: 
                   3923:        }
                   3924: 
                   3925:     fprintf(ficresstdeij,"%3.0f",age );
                   3926:     for(i=1; i<=nlstate;i++){
                   3927:       eip=0.;
                   3928:       vip=0.;
                   3929:       for(j=1; j<=nlstate;j++){
                   3930:        eip += eij[i][j][(int)age];
                   3931:        for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
                   3932:          vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
                   3933:        fprintf(ficresstdeij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[(j-1)*nlstate+i][(j-1)*nlstate+i][(int)age]) );
                   3934:       }
                   3935:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   3936:     }
                   3937:     fprintf(ficresstdeij,"\n");
                   3938: 
                   3939:     fprintf(ficrescveij,"%3.0f",age );
                   3940:     for(i=1; i<=nlstate;i++)
                   3941:       for(j=1; j<=nlstate;j++){
                   3942:        cptj= (j-1)*nlstate+i;
                   3943:        for(i2=1; i2<=nlstate;i2++)
                   3944:          for(j2=1; j2<=nlstate;j2++){
                   3945:            cptj2= (j2-1)*nlstate+i2;
                   3946:            if(cptj2 <= cptj)
                   3947:              fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
                   3948:          }
                   3949:       }
                   3950:     fprintf(ficrescveij,"\n");
                   3951:    
                   3952:   }
                   3953:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   3954:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   3955:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   3956:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   3957:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3958:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3959:   printf("\n");
                   3960:   fprintf(ficlog,"\n");
                   3961: 
                   3962:   free_vector(xm,1,npar);
                   3963:   free_vector(xp,1,npar);
                   3964:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   3965:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   3966:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   3967: }
                   3968: 
                   3969: /************ Variance ******************/
1.203     brouard  3970:  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  3971: {
                   3972:   /* Variance of health expectancies */
                   3973:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
                   3974:   /* double **newm;*/
1.169     brouard  3975:   /* int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)*/
                   3976:   
                   3977:   int movingaverage();
1.126     brouard  3978:   double **dnewm,**doldm;
                   3979:   double **dnewmp,**doldmp;
                   3980:   int i, j, nhstepm, hstepm, h, nstepm ;
1.164     brouard  3981:   int k;
1.126     brouard  3982:   double *xp;
                   3983:   double **gp, **gm;  /* for var eij */
                   3984:   double ***gradg, ***trgradg; /*for var eij */
                   3985:   double **gradgp, **trgradgp; /* for var p point j */
                   3986:   double *gpp, *gmp; /* for var p point j */
                   3987:   double **varppt; /* for var p point j nlstate to nlstate+ndeath */
                   3988:   double ***p3mat;
                   3989:   double age,agelim, hf;
                   3990:   double ***mobaverage;
                   3991:   int theta;
                   3992:   char digit[4];
                   3993:   char digitp[25];
                   3994: 
                   3995:   char fileresprobmorprev[FILENAMELENGTH];
                   3996: 
                   3997:   if(popbased==1){
                   3998:     if(mobilav!=0)
1.201     brouard  3999:       strcpy(digitp,"-POPULBASED-MOBILAV_");
                   4000:     else strcpy(digitp,"-POPULBASED-NOMOBIL_");
1.126     brouard  4001:   }
                   4002:   else 
1.201     brouard  4003:     strcpy(digitp,"-STABLBASED_");
1.126     brouard  4004: 
                   4005:   if (mobilav!=0) {
                   4006:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   4007:     if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
                   4008:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   4009:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   4010:     }
                   4011:   }
                   4012: 
1.201     brouard  4013:   strcpy(fileresprobmorprev,"PRMORPREV-"); 
1.126     brouard  4014:   sprintf(digit,"%-d",ij);
                   4015:   /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
                   4016:   strcat(fileresprobmorprev,digit); /* Tvar to be done */
                   4017:   strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
1.202     brouard  4018:   strcat(fileresprobmorprev,fileresu);
1.126     brouard  4019:   if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
                   4020:     printf("Problem with resultfile: %s\n", fileresprobmorprev);
                   4021:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
                   4022:   }
                   4023:   printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   4024:  
                   4025:   fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   4026:   pstamp(ficresprobmorprev);
                   4027:   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);
                   4028:   fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
                   4029:   for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   4030:     fprintf(ficresprobmorprev," p.%-d SE",j);
                   4031:     for(i=1; i<=nlstate;i++)
                   4032:       fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
                   4033:   }  
                   4034:   fprintf(ficresprobmorprev,"\n");
                   4035:   fprintf(ficgp,"\n# Routine varevsij");
1.200     brouard  4036:   fprintf(ficgp,"\nunset title \n");
                   4037: /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
1.126     brouard  4038:   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");
                   4039:   fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
                   4040: /*   } */
                   4041:   varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   4042:   pstamp(ficresvij);
                   4043:   fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
                   4044:   if(popbased==1)
1.128     brouard  4045:     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  4046:   else
                   4047:     fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
                   4048:   fprintf(ficresvij,"# Age");
                   4049:   for(i=1; i<=nlstate;i++)
                   4050:     for(j=1; j<=nlstate;j++)
                   4051:       fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
                   4052:   fprintf(ficresvij,"\n");
                   4053: 
                   4054:   xp=vector(1,npar);
                   4055:   dnewm=matrix(1,nlstate,1,npar);
                   4056:   doldm=matrix(1,nlstate,1,nlstate);
                   4057:   dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
                   4058:   doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   4059: 
                   4060:   gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
                   4061:   gpp=vector(nlstate+1,nlstate+ndeath);
                   4062:   gmp=vector(nlstate+1,nlstate+ndeath);
                   4063:   trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
                   4064:   
                   4065:   if(estepm < stepm){
                   4066:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   4067:   }
                   4068:   else  hstepm=estepm;   
                   4069:   /* For example we decided to compute the life expectancy with the smallest unit */
                   4070:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   4071:      nhstepm is the number of hstepm from age to agelim 
                   4072:      nstepm is the number of stepm from age to agelin. 
1.128     brouard  4073:      Look at function hpijx to understand why (it is linked to memory size questions) */
1.126     brouard  4074:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   4075:      survival function given by stepm (the optimization length). Unfortunately it
                   4076:      means that if the survival funtion is printed every two years of age and if
                   4077:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   4078:      results. So we changed our mind and took the option of the best precision.
                   4079:   */
                   4080:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   4081:   agelim = AGESUP;
                   4082:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   4083:     nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   4084:     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   4085:     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4086:     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
                   4087:     gp=matrix(0,nhstepm,1,nlstate);
                   4088:     gm=matrix(0,nhstepm,1,nlstate);
                   4089: 
                   4090: 
                   4091:     for(theta=1; theta <=npar; theta++){
                   4092:       for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
                   4093:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   4094:       }
                   4095:       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
1.203     brouard  4096:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyear,ij);
1.126     brouard  4097: 
                   4098:       if (popbased==1) {
                   4099:        if(mobilav ==0){
                   4100:          for(i=1; i<=nlstate;i++)
                   4101:            prlim[i][i]=probs[(int)age][i][ij];
                   4102:        }else{ /* mobilav */ 
                   4103:          for(i=1; i<=nlstate;i++)
                   4104:            prlim[i][i]=mobaverage[(int)age][i][ij];
                   4105:        }
                   4106:       }
                   4107:   
                   4108:       for(j=1; j<= nlstate; j++){
                   4109:        for(h=0; h<=nhstepm; h++){
                   4110:          for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                   4111:            gp[h][j] += prlim[i][i]*p3mat[i][j][h];
                   4112:        }
                   4113:       }
                   4114:       /* This for computing probability of death (h=1 means
                   4115:          computed over hstepm matrices product = hstepm*stepm months) 
                   4116:          as a weighted average of prlim.
                   4117:       */
                   4118:       for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   4119:        for(i=1,gpp[j]=0.; i<= nlstate; i++)
                   4120:          gpp[j] += prlim[i][i]*p3mat[i][j][1];
                   4121:       }    
                   4122:       /* end probability of death */
                   4123: 
                   4124:       for(i=1; i<=npar; i++) /* Computes gradient x - delta */
                   4125:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   4126:       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
1.203     brouard  4127:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyear, ij);
1.126     brouard  4128:  
                   4129:       if (popbased==1) {
                   4130:        if(mobilav ==0){
                   4131:          for(i=1; i<=nlstate;i++)
                   4132:            prlim[i][i]=probs[(int)age][i][ij];
                   4133:        }else{ /* mobilav */ 
                   4134:          for(i=1; i<=nlstate;i++)
                   4135:            prlim[i][i]=mobaverage[(int)age][i][ij];
                   4136:        }
                   4137:       }
                   4138: 
1.128     brouard  4139:       for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
1.126     brouard  4140:        for(h=0; h<=nhstepm; h++){
                   4141:          for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                   4142:            gm[h][j] += prlim[i][i]*p3mat[i][j][h];
                   4143:        }
                   4144:       }
                   4145:       /* This for computing probability of death (h=1 means
                   4146:          computed over hstepm matrices product = hstepm*stepm months) 
                   4147:          as a weighted average of prlim.
                   4148:       */
                   4149:       for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   4150:        for(i=1,gmp[j]=0.; i<= nlstate; i++)
                   4151:          gmp[j] += prlim[i][i]*p3mat[i][j][1];
                   4152:       }    
                   4153:       /* end probability of death */
                   4154: 
                   4155:       for(j=1; j<= nlstate; j++) /* vareij */
                   4156:        for(h=0; h<=nhstepm; h++){
                   4157:          gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
                   4158:        }
                   4159: 
                   4160:       for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
                   4161:        gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
                   4162:       }
                   4163: 
                   4164:     } /* End theta */
                   4165: 
                   4166:     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
                   4167: 
                   4168:     for(h=0; h<=nhstepm; h++) /* veij */
                   4169:       for(j=1; j<=nlstate;j++)
                   4170:        for(theta=1; theta <=npar; theta++)
                   4171:          trgradg[h][j][theta]=gradg[h][theta][j];
                   4172: 
                   4173:     for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                   4174:       for(theta=1; theta <=npar; theta++)
                   4175:        trgradgp[j][theta]=gradgp[theta][j];
                   4176:   
                   4177: 
                   4178:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   4179:     for(i=1;i<=nlstate;i++)
                   4180:       for(j=1;j<=nlstate;j++)
                   4181:        vareij[i][j][(int)age] =0.;
                   4182: 
                   4183:     for(h=0;h<=nhstepm;h++){
                   4184:       for(k=0;k<=nhstepm;k++){
                   4185:        matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
                   4186:        matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
                   4187:        for(i=1;i<=nlstate;i++)
                   4188:          for(j=1;j<=nlstate;j++)
                   4189:            vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
                   4190:       }
                   4191:     }
                   4192:   
                   4193:     /* pptj */
                   4194:     matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
                   4195:     matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
                   4196:     for(j=nlstate+1;j<=nlstate+ndeath;j++)
                   4197:       for(i=nlstate+1;i<=nlstate+ndeath;i++)
                   4198:        varppt[j][i]=doldmp[j][i];
                   4199:     /* end ppptj */
                   4200:     /*  x centered again */
                   4201:     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
1.203     brouard  4202:     prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyear,ij);
1.126     brouard  4203:  
                   4204:     if (popbased==1) {
                   4205:       if(mobilav ==0){
                   4206:        for(i=1; i<=nlstate;i++)
                   4207:          prlim[i][i]=probs[(int)age][i][ij];
                   4208:       }else{ /* mobilav */ 
                   4209:        for(i=1; i<=nlstate;i++)
                   4210:          prlim[i][i]=mobaverage[(int)age][i][ij];
                   4211:       }
                   4212:     }
                   4213:              
                   4214:     /* This for computing probability of death (h=1 means
                   4215:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
                   4216:        as a weighted average of prlim.
                   4217:     */
                   4218:     for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   4219:       for(i=1,gmp[j]=0.;i<= nlstate; i++) 
                   4220:        gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
                   4221:     }    
                   4222:     /* end probability of death */
                   4223: 
                   4224:     fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
                   4225:     for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   4226:       fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
                   4227:       for(i=1; i<=nlstate;i++){
                   4228:        fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
                   4229:       }
                   4230:     } 
                   4231:     fprintf(ficresprobmorprev,"\n");
                   4232: 
                   4233:     fprintf(ficresvij,"%.0f ",age );
                   4234:     for(i=1; i<=nlstate;i++)
                   4235:       for(j=1; j<=nlstate;j++){
                   4236:        fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
                   4237:       }
                   4238:     fprintf(ficresvij,"\n");
                   4239:     free_matrix(gp,0,nhstepm,1,nlstate);
                   4240:     free_matrix(gm,0,nhstepm,1,nlstate);
                   4241:     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
                   4242:     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
                   4243:     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4244:   } /* End age */
                   4245:   free_vector(gpp,nlstate+1,nlstate+ndeath);
                   4246:   free_vector(gmp,nlstate+1,nlstate+ndeath);
                   4247:   free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
                   4248:   free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.199     brouard  4249:   /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
                   4250:   fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
1.126     brouard  4251:   /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
1.131     brouard  4252:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
1.201     brouard  4253:   fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  4254: /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
                   4255: /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   4256: /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
1.145     brouard  4257:   fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
1.170     brouard  4258:   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
1.145     brouard  4259:   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
1.126     brouard  4260:   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  4261:   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  4262:   /*  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  4263: */
1.199     brouard  4264: /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
1.201     brouard  4265:   fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  4266: 
                   4267:   free_vector(xp,1,npar);
                   4268:   free_matrix(doldm,1,nlstate,1,nlstate);
                   4269:   free_matrix(dnewm,1,nlstate,1,npar);
                   4270:   free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   4271:   free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
                   4272:   free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   4273:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   4274:   fclose(ficresprobmorprev);
                   4275:   fflush(ficgp);
                   4276:   fflush(fichtm); 
                   4277: }  /* end varevsij */
                   4278: 
                   4279: /************ Variance of prevlim ******************/
1.203     brouard  4280:  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  4281: {
1.205   ! brouard  4282:   /* Variance of prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
1.126     brouard  4283:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  4284: 
1.126     brouard  4285:   double **dnewm,**doldm;
                   4286:   int i, j, nhstepm, hstepm;
                   4287:   double *xp;
                   4288:   double *gp, *gm;
                   4289:   double **gradg, **trgradg;
                   4290:   double age,agelim;
                   4291:   int theta;
                   4292:   
                   4293:   pstamp(ficresvpl);
                   4294:   fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
                   4295:   fprintf(ficresvpl,"# Age");
                   4296:   for(i=1; i<=nlstate;i++)
                   4297:       fprintf(ficresvpl," %1d-%1d",i,i);
                   4298:   fprintf(ficresvpl,"\n");
                   4299: 
                   4300:   xp=vector(1,npar);
                   4301:   dnewm=matrix(1,nlstate,1,npar);
                   4302:   doldm=matrix(1,nlstate,1,nlstate);
                   4303:   
                   4304:   hstepm=1*YEARM; /* Every year of age */
                   4305:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   4306:   agelim = AGESUP;
                   4307:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   4308:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   4309:     if (stepm >= YEARM) hstepm=1;
                   4310:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   4311:     gradg=matrix(1,npar,1,nlstate);
                   4312:     gp=vector(1,nlstate);
                   4313:     gm=vector(1,nlstate);
                   4314: 
                   4315:     for(theta=1; theta <=npar; theta++){
                   4316:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   4317:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   4318:       }
1.203     brouard  4319:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyear,ij);
1.126     brouard  4320:       for(i=1;i<=nlstate;i++)
                   4321:        gp[i] = prlim[i][i];
                   4322:     
                   4323:       for(i=1; i<=npar; i++) /* Computes gradient */
                   4324:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.203     brouard  4325:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyear,ij);
1.126     brouard  4326:       for(i=1;i<=nlstate;i++)
                   4327:        gm[i] = prlim[i][i];
                   4328: 
                   4329:       for(i=1;i<=nlstate;i++)
                   4330:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
                   4331:     } /* End theta */
                   4332: 
                   4333:     trgradg =matrix(1,nlstate,1,npar);
                   4334: 
                   4335:     for(j=1; j<=nlstate;j++)
                   4336:       for(theta=1; theta <=npar; theta++)
                   4337:        trgradg[j][theta]=gradg[theta][j];
                   4338: 
                   4339:     for(i=1;i<=nlstate;i++)
                   4340:       varpl[i][(int)age] =0.;
1.205   ! brouard  4341:     if((int)age==67 ||(int)age== 66 ){
        !          4342:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
        !          4343:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
        !          4344:     }else{
1.126     brouard  4345:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   4346:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
1.205   ! brouard  4347:     }
1.126     brouard  4348:     for(i=1;i<=nlstate;i++)
                   4349:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   4350: 
                   4351:     fprintf(ficresvpl,"%.0f ",age );
                   4352:     for(i=1; i<=nlstate;i++)
                   4353:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
                   4354:     fprintf(ficresvpl,"\n");
                   4355:     free_vector(gp,1,nlstate);
                   4356:     free_vector(gm,1,nlstate);
                   4357:     free_matrix(gradg,1,npar,1,nlstate);
                   4358:     free_matrix(trgradg,1,nlstate,1,npar);
                   4359:   } /* End age */
                   4360: 
                   4361:   free_vector(xp,1,npar);
                   4362:   free_matrix(doldm,1,nlstate,1,npar);
                   4363:   free_matrix(dnewm,1,nlstate,1,nlstate);
                   4364: 
                   4365: }
                   4366: 
                   4367: /************ Variance of one-step probabilities  ******************/
                   4368: 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[])
                   4369: {
1.164     brouard  4370:   int i, j=0,  k1, l1, tj;
1.126     brouard  4371:   int k2, l2, j1,  z1;
1.164     brouard  4372:   int k=0, l;
1.145     brouard  4373:   int first=1, first1, first2;
1.126     brouard  4374:   double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   4375:   double **dnewm,**doldm;
                   4376:   double *xp;
                   4377:   double *gp, *gm;
                   4378:   double **gradg, **trgradg;
                   4379:   double **mu;
1.164     brouard  4380:   double age, cov[NCOVMAX+1];
1.126     brouard  4381:   double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   4382:   int theta;
                   4383:   char fileresprob[FILENAMELENGTH];
                   4384:   char fileresprobcov[FILENAMELENGTH];
                   4385:   char fileresprobcor[FILENAMELENGTH];
                   4386:   double ***varpij;
                   4387: 
1.201     brouard  4388:   strcpy(fileresprob,"PROB_"); 
1.126     brouard  4389:   strcat(fileresprob,fileres);
                   4390:   if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   4391:     printf("Problem with resultfile: %s\n", fileresprob);
                   4392:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   4393:   }
1.201     brouard  4394:   strcpy(fileresprobcov,"PROBCOV_"); 
1.202     brouard  4395:   strcat(fileresprobcov,fileresu);
1.126     brouard  4396:   if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   4397:     printf("Problem with resultfile: %s\n", fileresprobcov);
                   4398:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   4399:   }
1.201     brouard  4400:   strcpy(fileresprobcor,"PROBCOR_"); 
1.202     brouard  4401:   strcat(fileresprobcor,fileresu);
1.126     brouard  4402:   if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   4403:     printf("Problem with resultfile: %s\n", fileresprobcor);
                   4404:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   4405:   }
                   4406:   printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   4407:   fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   4408:   printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   4409:   fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   4410:   printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   4411:   fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   4412:   pstamp(ficresprob);
                   4413:   fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   4414:   fprintf(ficresprob,"# Age");
                   4415:   pstamp(ficresprobcov);
                   4416:   fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   4417:   fprintf(ficresprobcov,"# Age");
                   4418:   pstamp(ficresprobcor);
                   4419:   fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   4420:   fprintf(ficresprobcor,"# Age");
                   4421: 
                   4422: 
                   4423:   for(i=1; i<=nlstate;i++)
                   4424:     for(j=1; j<=(nlstate+ndeath);j++){
                   4425:       fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   4426:       fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   4427:       fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   4428:     }  
                   4429:  /* fprintf(ficresprob,"\n");
                   4430:   fprintf(ficresprobcov,"\n");
                   4431:   fprintf(ficresprobcor,"\n");
                   4432:  */
1.131     brouard  4433:   xp=vector(1,npar);
1.126     brouard  4434:   dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   4435:   doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   4436:   mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   4437:   varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   4438:   first=1;
                   4439:   fprintf(ficgp,"\n# Routine varprob");
                   4440:   fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   4441:   fprintf(fichtm,"\n");
                   4442: 
1.200     brouard  4443:   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  4444:   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);
                   4445:   fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
1.126     brouard  4446: and drawn. It helps understanding how is the covariance between two incidences.\
                   4447:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
                   4448:   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. \
                   4449: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   4450: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   4451: standard deviations wide on each axis. <br>\
                   4452:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   4453:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   4454: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   4455: 
                   4456:   cov[1]=1;
1.145     brouard  4457:   /* tj=cptcoveff; */
                   4458:   tj = (int) pow(2,cptcoveff);
1.126     brouard  4459:   if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   4460:   j1=0;
1.145     brouard  4461:   for(j1=1; j1<=tj;j1++){
                   4462:     /*for(i1=1; i1<=ncodemax[t];i1++){ */
                   4463:     /*j1++;*/
1.126     brouard  4464:       if  (cptcovn>0) {
                   4465:        fprintf(ficresprob, "\n#********** Variable "); 
1.198     brouard  4466:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4467:        fprintf(ficresprob, "**********\n#\n");
                   4468:        fprintf(ficresprobcov, "\n#********** Variable "); 
1.198     brouard  4469:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4470:        fprintf(ficresprobcov, "**********\n#\n");
                   4471:        
                   4472:        fprintf(ficgp, "\n#********** Variable "); 
1.198     brouard  4473:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4474:        fprintf(ficgp, "**********\n#\n");
                   4475:        
                   4476:        
                   4477:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
1.198     brouard  4478:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4479:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
                   4480:        
                   4481:        fprintf(ficresprobcor, "\n#********** Variable ");    
1.198     brouard  4482:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4483:        fprintf(ficresprobcor, "**********\n#");    
                   4484:       }
                   4485:       
1.145     brouard  4486:       gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   4487:       trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   4488:       gp=vector(1,(nlstate)*(nlstate+ndeath));
                   4489:       gm=vector(1,(nlstate)*(nlstate+ndeath));
1.126     brouard  4490:       for (age=bage; age<=fage; age ++){ 
                   4491:        cov[2]=age;
1.187     brouard  4492:        if(nagesqr==1)
                   4493:          cov[3]= age*age;
1.126     brouard  4494:        for (k=1; k<=cptcovn;k++) {
1.200     brouard  4495:          cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
                   4496:          /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
1.145     brouard  4497:                                                         * 1  1 1 1 1
                   4498:                                                         * 2  2 1 1 1
                   4499:                                                         * 3  1 2 1 1
                   4500:                                                         */
                   4501:          /* nbcode[1][1]=0 nbcode[1][2]=1;*/
1.126     brouard  4502:        }
1.186     brouard  4503:        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200     brouard  4504:        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
1.126     brouard  4505:        for (k=1; k<=cptcovprod;k++)
1.200     brouard  4506:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.126     brouard  4507:        
                   4508:     
                   4509:        for(theta=1; theta <=npar; theta++){
                   4510:          for(i=1; i<=npar; i++)
                   4511:            xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
                   4512:          
                   4513:          pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   4514:          
                   4515:          k=0;
                   4516:          for(i=1; i<= (nlstate); i++){
                   4517:            for(j=1; j<=(nlstate+ndeath);j++){
                   4518:              k=k+1;
                   4519:              gp[k]=pmmij[i][j];
                   4520:            }
                   4521:          }
                   4522:          
                   4523:          for(i=1; i<=npar; i++)
                   4524:            xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
                   4525:     
                   4526:          pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   4527:          k=0;
                   4528:          for(i=1; i<=(nlstate); i++){
                   4529:            for(j=1; j<=(nlstate+ndeath);j++){
                   4530:              k=k+1;
                   4531:              gm[k]=pmmij[i][j];
                   4532:            }
                   4533:          }
                   4534:      
                   4535:          for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   4536:            gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   4537:        }
                   4538: 
                   4539:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   4540:          for(theta=1; theta <=npar; theta++)
                   4541:            trgradg[j][theta]=gradg[theta][j];
                   4542:        
                   4543:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   4544:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
                   4545: 
                   4546:        pmij(pmmij,cov,ncovmodel,x,nlstate);
                   4547:        
                   4548:        k=0;
                   4549:        for(i=1; i<=(nlstate); i++){
                   4550:          for(j=1; j<=(nlstate+ndeath);j++){
                   4551:            k=k+1;
                   4552:            mu[k][(int) age]=pmmij[i][j];
                   4553:          }
                   4554:        }
                   4555:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   4556:          for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   4557:            varpij[i][j][(int)age] = doldm[i][j];
                   4558: 
                   4559:        /*printf("\n%d ",(int)age);
                   4560:          for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   4561:          printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   4562:          fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   4563:          }*/
                   4564: 
                   4565:        fprintf(ficresprob,"\n%d ",(int)age);
                   4566:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   4567:        fprintf(ficresprobcor,"\n%d ",(int)age);
                   4568: 
                   4569:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   4570:          fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   4571:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   4572:          fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   4573:          fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   4574:        }
                   4575:        i=0;
                   4576:        for (k=1; k<=(nlstate);k++){
                   4577:          for (l=1; l<=(nlstate+ndeath);l++){ 
1.145     brouard  4578:            i++;
1.126     brouard  4579:            fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   4580:            fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   4581:            for (j=1; j<=i;j++){
1.145     brouard  4582:              /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
1.126     brouard  4583:              fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   4584:              fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   4585:            }
                   4586:          }
                   4587:        }/* end of loop for state */
                   4588:       } /* end of loop for age */
1.145     brouard  4589:       free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   4590:       free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   4591:       free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   4592:       free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   4593:       
1.126     brouard  4594:       /* Confidence intervalle of pij  */
                   4595:       /*
1.131     brouard  4596:        fprintf(ficgp,"\nunset parametric;unset label");
1.126     brouard  4597:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   4598:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   4599:        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);
                   4600:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   4601:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   4602:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   4603:       */
                   4604: 
                   4605:       /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
1.145     brouard  4606:       first1=1;first2=2;
1.126     brouard  4607:       for (k2=1; k2<=(nlstate);k2++){
                   4608:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   4609:          if(l2==k2) continue;
                   4610:          j=(k2-1)*(nlstate+ndeath)+l2;
                   4611:          for (k1=1; k1<=(nlstate);k1++){
                   4612:            for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   4613:              if(l1==k1) continue;
                   4614:              i=(k1-1)*(nlstate+ndeath)+l1;
                   4615:              if(i<=j) continue;
                   4616:              for (age=bage; age<=fage; age ++){ 
                   4617:                if ((int)age %5==0){
                   4618:                  v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   4619:                  v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   4620:                  cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   4621:                  mu1=mu[i][(int) age]/stepm*YEARM ;
                   4622:                  mu2=mu[j][(int) age]/stepm*YEARM;
                   4623:                  c12=cv12/sqrt(v1*v2);
                   4624:                  /* Computing eigen value of matrix of covariance */
                   4625:                  lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4626:                  lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
1.135     brouard  4627:                  if ((lc2 <0) || (lc1 <0) ){
1.145     brouard  4628:                    if(first2==1){
                   4629:                      first1=0;
                   4630:                    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);
                   4631:                    }
                   4632:                    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);
                   4633:                    /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   4634:                    /* lc2=fabs(lc2); */
1.135     brouard  4635:                  }
                   4636: 
1.126     brouard  4637:                  /* Eigen vectors */
                   4638:                  v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                   4639:                  /*v21=sqrt(1.-v11*v11); *//* error */
                   4640:                  v21=(lc1-v1)/cv12*v11;
                   4641:                  v12=-v21;
                   4642:                  v22=v11;
                   4643:                  tnalp=v21/v11;
                   4644:                  if(first1==1){
                   4645:                    first1=0;
                   4646:                    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);
                   4647:                  }
                   4648:                  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);
                   4649:                  /*printf(fignu*/
                   4650:                  /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   4651:                  /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   4652:                  if(first==1){
                   4653:                    first=0;
1.200     brouard  4654:                    fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
1.126     brouard  4655:                    fprintf(ficgp,"\nset parametric;unset label");
                   4656:                    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  4657:                    fprintf(ficgp,"\nset ter svg size 640, 480");
1.126     brouard  4658:                    fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
1.201     brouard  4659:  :<a href=\"%s_%d%1d%1d-%1d%1d.svg\">\
                   4660: %s_%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
                   4661:                            subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2,\
                   4662:                            subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   4663:                    fprintf(fichtmcov,"\n<br><img src=\"%s_%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
1.126     brouard  4664:                    fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
1.201     brouard  4665:                    fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
1.126     brouard  4666:                    fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   4667:                    fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   4668:                    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",\
                   4669:                            mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                   4670:                            mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   4671:                  }else{
                   4672:                    first=0;
                   4673:                    fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   4674:                    fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   4675:                    fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   4676:                    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",\
                   4677:                            mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                   4678:                            mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   4679:                  }/* if first */
                   4680:                } /* age mod 5 */
                   4681:              } /* end loop age */
1.201     brouard  4682:              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  4683:              first=1;
                   4684:            } /*l12 */
                   4685:          } /* k12 */
                   4686:        } /*l1 */
                   4687:       }/* k1 */
1.169     brouard  4688:       /* } */ /* loop covariates */
1.126     brouard  4689:   }
                   4690:   free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   4691:   free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   4692:   free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   4693:   free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   4694:   free_vector(xp,1,npar);
                   4695:   fclose(ficresprob);
                   4696:   fclose(ficresprobcov);
                   4697:   fclose(ficresprobcor);
                   4698:   fflush(ficgp);
                   4699:   fflush(fichtmcov);
                   4700: }
                   4701: 
                   4702: 
                   4703: /******************* Printing html file ***********/
1.201     brouard  4704: void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  4705:                  int lastpass, int stepm, int weightopt, char model[],\
                   4706:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
                   4707:                  int popforecast, int estepm ,\
                   4708:                  double jprev1, double mprev1,double anprev1, \
                   4709:                  double jprev2, double mprev2,double anprev2){
                   4710:   int jj1, k1, i1, cpt;
                   4711: 
                   4712:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   4713:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   4714: </ul>");
                   4715:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n \
                   4716:  - 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  4717:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_"));
1.126     brouard  4718:    fprintf(fichtm,"\
                   4719:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
1.201     brouard  4720:           stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_"));
1.126     brouard  4721:    fprintf(fichtm,"\
                   4722:  - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  4723:           subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
1.126     brouard  4724:    fprintf(fichtm,"\
1.128     brouard  4725:  - (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  4726:    <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  4727:           estepm,subdirf2(fileresu,"E_"),subdirf2(fileresu,"E_"));
1.126     brouard  4728:    fprintf(fichtm,"\
                   4729:  - Population projections by age and states: \
1.201     brouard  4730:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
1.126     brouard  4731: 
                   4732: fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
                   4733: 
1.145     brouard  4734:  m=pow(2,cptcoveff);
1.126     brouard  4735:  if (cptcovn < 1) {m=1;ncodemax[1]=1;}
                   4736: 
                   4737:  jj1=0;
                   4738:  for(k1=1; k1<=m;k1++){
1.192     brouard  4739:    /* for(i1=1; i1<=ncodemax[k1];i1++){ */
1.126     brouard  4740:      jj1++;
                   4741:      if (cptcovn > 0) {
                   4742:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.192     brouard  4743:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
1.198     brouard  4744:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
                   4745:         printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout);
1.192     brouard  4746:        }
1.126     brouard  4747:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   4748:      }
1.201     brouard  4749:      /* aij, bij */
                   4750:      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> \
                   4751: <img src=\"%s_%d-1.svg\">",subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);
1.126     brouard  4752:      /* Pij */
1.202     brouard  4753:      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  4754: <img src=\"%s_%d-2.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);     
1.126     brouard  4755:      /* Quasi-incidences */
1.201     brouard  4756:      fprintf(fichtm,"<br>\n- Iij or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
                   4757:  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too,\
                   4758:  incidence (rates) are the limit when h tends to zero of the ratio of the probability hPij \
                   4759: divided by h: hPij/h : <a href=\"%s_%d-3.svg\">%s_%d-3.svg</a><br> \
                   4760: <img src=\"%s_%d-3.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1); 
                   4761:      /* Survival functions (period) in state j */
                   4762:      for(cpt=1; cpt<=nlstate;cpt++){
                   4763:        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> \
                   4764: <img src=\"%s_%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"LIJ_"),cpt,jj1,subdirf2(optionfilefiname,"LIJ_"),cpt,jj1,subdirf2(optionfilefiname,"LIJ_"),cpt,jj1);
                   4765:      }
                   4766:      /* State specific survival functions (period) */
                   4767:      for(cpt=1; cpt<=nlstate;cpt++){
                   4768:        fprintf(fichtm,"<br>\n- Survival functions from state %d in any different live states and total.\
                   4769:  Or probability to survive in various states (1 to %d) being in state %d at different ages.\
                   4770:  <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);
                   4771:      }
                   4772:      /* Period (stable) prevalence in each health state */
                   4773:      for(cpt=1; cpt<=nlstate;cpt++){
                   4774:        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> \
                   4775: <img src=\"%s_%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"P_"),cpt,jj1,subdirf2(optionfilefiname,"P_"),cpt,jj1,subdirf2(optionfilefiname,"P_"),cpt,jj1);
                   4776:      }
1.126     brouard  4777:      for(cpt=1; cpt<=nlstate;cpt++) {
1.205   ! brouard  4778:        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  4779: <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  4780:      }
1.192     brouard  4781:    /* } /\* end i1 *\/ */
1.126     brouard  4782:  }/* End k1 */
                   4783:  fprintf(fichtm,"</ul>");
                   4784: 
                   4785:  fprintf(fichtm,"\
                   4786: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
1.193     brouard  4787:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
1.203     brouard  4788:  - 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  4789: But because parameters are usually highly correlated (a higher incidence of disability \
                   4790: and a higher incidence of recovery can give very close observed transition) it might \
                   4791: be very useful to look not only at linear confidence intervals estimated from the \
                   4792: variances but at the covariance matrix. And instead of looking at the estimated coefficients \
                   4793: (parameters) of the logistic regression, it might be more meaningful to visualize the \
                   4794: covariance matrix of the one-step probabilities. \
                   4795: See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
1.126     brouard  4796: 
1.193     brouard  4797:  fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  4798:         subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_"));
1.126     brouard  4799:  fprintf(fichtm,"\
                   4800:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  4801:         subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_"));
1.126     brouard  4802: 
                   4803:  fprintf(fichtm,"\
                   4804:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  4805:         subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"PROBCOR_"));
1.126     brouard  4806:  fprintf(fichtm,"\
                   4807:  - 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): \
                   4808:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  4809:           estepm,subdirf2(fileresu,"CVE_"),subdirf2(fileresu,"CVE_"));
1.126     brouard  4810:  fprintf(fichtm,"\
                   4811:  - (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): \
                   4812:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  4813:           estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_"));
1.126     brouard  4814:  fprintf(fichtm,"\
1.128     brouard  4815:  - 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  4816:         estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_"));
1.126     brouard  4817:  fprintf(fichtm,"\
1.128     brouard  4818:  - 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  4819:         estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_"));
1.126     brouard  4820:  fprintf(fichtm,"\
                   4821:  - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\
1.201     brouard  4822:         subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
1.126     brouard  4823: 
                   4824: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   4825: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   4826: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   4827: /*     <br>",fileres,fileres,fileres,fileres); */
                   4828: /*  else  */
                   4829: /*    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); */
                   4830:  fflush(fichtm);
                   4831:  fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
                   4832: 
1.145     brouard  4833:  m=pow(2,cptcoveff);
1.126     brouard  4834:  if (cptcovn < 1) {m=1;ncodemax[1]=1;}
                   4835: 
                   4836:  jj1=0;
                   4837:  for(k1=1; k1<=m;k1++){
1.192     brouard  4838:    /* for(i1=1; i1<=ncodemax[k1];i1++){ */
1.126     brouard  4839:      jj1++;
                   4840:      if (cptcovn > 0) {
                   4841:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
                   4842:        for (cpt=1; cpt<=cptcoveff;cpt++) 
1.198     brouard  4843:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
1.126     brouard  4844:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   4845:      }
                   4846:      for(cpt=1; cpt<=nlstate;cpt++) {
                   4847:        fprintf(fichtm,"<br>- Observed (cross-sectional) and period (incidence based) \
1.205   ! brouard  4848: prevalence (with 95%% confidence interval) in state (%d): <a href=\"%s_%d%d.svg\"> %s_%d-%d.svg <br>\
        !          4849: <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  4850:      }
                   4851:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.128     brouard  4852: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
                   4853: true period expectancies (those weighted with period prevalences are also\
                   4854:  drawn in addition to the population based expectancies computed using\
1.205   ! brouard  4855:  observed and cahotic prevalences:  <a href=\"%s_%d.svg\">%s_%d.svg<br>\
        !          4856: <img src=\"%s_%d.svg\">",subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1);
1.192     brouard  4857:    /* } /\* end i1 *\/ */
1.126     brouard  4858:  }/* End k1 */
                   4859:  fprintf(fichtm,"</ul>");
                   4860:  fflush(fichtm);
                   4861: }
                   4862: 
                   4863: /******************* Gnuplot file **************/
1.201     brouard  4864: void printinggnuplot(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
1.126     brouard  4865: 
                   4866:   char dirfileres[132],optfileres[132];
1.164     brouard  4867:   int cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
1.130     brouard  4868:   int ng=0;
1.201     brouard  4869:   int vpopbased;
1.126     brouard  4870: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   4871: /*     printf("Problem with file %s",optionfilegnuplot); */
                   4872: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   4873: /*   } */
                   4874: 
                   4875:   /*#ifdef windows */
                   4876:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   4877:     /*#endif */
                   4878:   m=pow(2,cptcoveff);
                   4879: 
1.202     brouard  4880:   /* Contribution to likelihood */
                   4881:   /* Plot the probability implied in the likelihood */
                   4882:     fprintf(ficgp,"\n# Contributions to the Likelihood, mle >=1. For mle=4 no interpolation, pure matrix products.\n#\n");
                   4883:     fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Likelihood (-2Log(L))\";");
                   4884:     /* fprintf(ficgp,"\nset ter svg size 640, 480"); */ /* Too big for svg */
1.205   ! brouard  4885:     fprintf(ficgp,"\nset ter pngcairo size 640, 480");
1.204     brouard  4886: /* nice for mle=4 plot by number of matrix products.
1.202     brouard  4887:    replot  "rrtest1/toto.txt" u 2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with point lc 1 */
                   4888: /* replot exp(p1+p2*x)/(1+exp(p1+p2*x)+exp(p3+p4*x)+exp(p5+p6*x)) t "p12(x)"  */
                   4889:     /* fprintf(ficgp,"\nset out \"%s.svg\";",subdirf2(optionfilefiname,"ILK_")); */
1.204     brouard  4890:     fprintf(ficgp,"\nset out \"%s-dest.png\";",subdirf2(optionfilefiname,"ILK_"));
1.205   ! brouard  4891:     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  4892:     fprintf(ficgp,"\nset out \"%s-ori.png\";",subdirf2(optionfilefiname,"ILK_"));
1.205   ! brouard  4893:     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  4894:     for (i=1; i<= nlstate ; i ++) {
                   4895:       fprintf(ficgp,"\nset out \"%s-p%dj.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i);
1.205   ! brouard  4896:       fprintf(ficgp,"unset log;\n# plot weighted, mean weight should have point size of 0.5\n plot  \"%s\"",subdirf(fileresilk));
        !          4897:       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  4898:       for (j=2; j<= nlstate+ndeath ; j ++) {
1.205   ! brouard  4899:        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  4900:       }
                   4901:       fprintf(ficgp,";\nset out; unset ylabel;\n"); 
                   4902:     }
                   4903:     /* 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 */             
                   4904:     /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
                   4905:     /* 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  4906:     fprintf(ficgp,"\nset out;unset log\n");
1.202     brouard  4907:     /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
                   4908: 
1.126     brouard  4909:   strcpy(dirfileres,optionfilefiname);
                   4910:   strcpy(optfileres,"vpl");
                   4911:  /* 1eme*/
1.201     brouard  4912:   fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'VPL_' files\n");
1.126     brouard  4913:   for (cpt=1; cpt<= nlstate ; cpt ++) {
1.145     brouard  4914:     for (k1=1; k1<= m ; k1 ++) { /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
1.201     brouard  4915:      fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1);
                   4916:      fprintf(ficgp,"\n#set out \"V_%s_%d-%d.svg\" \n",optionfilefiname,cpt,k1);
1.126     brouard  4917:      fprintf(ficgp,"set xlabel \"Age\" \n\
                   4918: set ylabel \"Probability\" \n\
1.199     brouard  4919: set ter svg size 640, 480\n\
1.201     brouard  4920: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"%%lf",ageminpar,fage,subdirf2(fileresu,"VPL_"),k1-1,k1-1);
1.126     brouard  4921: 
                   4922:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  4923:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   4924:        else        fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4925:      }
1.201     brouard  4926:      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  4927:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  4928:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   4929:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4930:      } 
1.201     brouard  4931:      fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"%%lf",subdirf2(fileresu,"VPL_"),k1-1,k1-1); 
1.126     brouard  4932:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  4933:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   4934:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4935:      }  
1.201     brouard  4936:      fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1));
                   4937:      fprintf(ficgp,"\nset out \n");
                   4938:     } /* k1 */
                   4939:   } /* cpt */
1.126     brouard  4940:   /*2 eme*/
1.153     brouard  4941:   fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files\n");
1.126     brouard  4942:   for (k1=1; k1<= m ; k1 ++) { 
1.201     brouard  4943:     fprintf(ficgp,"\nset out \"%s_%d.svg\" \n",subdirf2(optionfilefiname,"E_"),k1);
                   4944:     for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
                   4945:       if(vpopbased==0)
                   4946:        fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
                   4947:       else
                   4948:        fprintf(ficgp,"\nreplot ");
                   4949:       for (i=1; i<= nlstate+1 ; i ++) {
                   4950:        k=2*i;
                   4951:        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);
                   4952:        for (j=1; j<= nlstate+1 ; j ++) {
                   4953:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   4954:          else fprintf(ficgp," %%*lf (%%*lf)");
                   4955:        }   
                   4956:        if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l lt %d, \\\n",i);
                   4957:        else fprintf(ficgp,"\" t\"LE in state (%d)\" w l lt %d, \\\n",i-1,i+1);
                   4958:        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);
                   4959:        for (j=1; j<= nlstate+1 ; j ++) {
                   4960:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   4961:          else fprintf(ficgp," %%*lf (%%*lf)");
                   4962:        }   
                   4963:        fprintf(ficgp,"\" t\"\" w l lt 0,");
                   4964:        fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2==%d && $4!=0 ? $4+$5*2 : 1/0) \"%%lf %%lf %%lf",subdirf2(fileresu,"T_"),k1-1,k1-1,vpopbased);
                   4965:        for (j=1; j<= nlstate+1 ; j ++) {
                   4966:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   4967:          else fprintf(ficgp," %%*lf (%%*lf)");
                   4968:        }   
                   4969:        if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   4970:        else fprintf(ficgp,"\" t\"\" w l lt 0,\\\n");
                   4971:       } /* state */
                   4972:     } /* vpopbased */
                   4973:     fprintf(ficgp,"\nset out;set out \"%s_%d.svg\"; replot; set out; \n",subdirf2(optionfilefiname,"E_"),k1); /* Buggy gnuplot */
                   4974:   } /* k1 */
1.126     brouard  4975:   /*3eme*/
                   4976:   
                   4977:   for (k1=1; k1<= m ; k1 ++) { 
                   4978:     for (cpt=1; cpt<= nlstate ; cpt ++) {
                   4979:       /*       k=2+nlstate*(2*cpt-2); */
                   4980:       k=2+(nlstate+1)*(cpt-1);
1.201     brouard  4981:       fprintf(ficgp,"\nset out \"%s_%d%d.svg\" \n",subdirf2(optionfilefiname,"EXP_"),cpt,k1);
1.199     brouard  4982:       fprintf(ficgp,"set ter svg size 640, 480\n\
1.201     brouard  4983: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileresu,"E_"),k1-1,k1-1,k,cpt);
1.126     brouard  4984:       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   4985:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   4986:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   4987:        fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   4988:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   4989:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   4990:        
                   4991:       */
                   4992:       for (i=1; i< nlstate ; i ++) {
1.201     brouard  4993:        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  4994:        /*      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);*/
                   4995:        
                   4996:       } 
1.201     brouard  4997:       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  4998:     }
                   4999:   }
                   5000:   
1.201     brouard  5001:   /* Survival functions (period) from state i in state j by initial state i */
                   5002:   for (k1=1; k1<= m ; k1 ++) { /* For each multivariate if any */
                   5003:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
                   5004:       k=3;
                   5005:       fprintf(ficgp,"\n#\n#\n# Survival functions in state j : 'lij' files, cov=%d state=%d",k1, cpt);
                   5006:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJ_"),cpt,k1);
                   5007:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   5008: set ter svg size 640, 480\n\
                   5009: unset log y\n\
                   5010: plot [%.f:%.f]  ", ageminpar, agemaxpar);
                   5011:       for (i=1; i<= nlstate ; i ++){
                   5012:        if(i==1)
                   5013:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   5014:        else
                   5015:          fprintf(ficgp,", '' ");
                   5016:        l=(nlstate+ndeath)*(i-1)+1;
                   5017:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   5018:        for (j=2; j<= nlstate+ndeath ; j ++)
                   5019:          fprintf(ficgp,"+$%d",k+l+j-1);
                   5020:        fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
                   5021:       } /* nlstate */
                   5022:       fprintf(ficgp,"\nset out\n");
                   5023:     } /* end cpt state*/ 
                   5024:   } /* end covariate */  
                   5025: 
                   5026:   /* Survival functions (period) from state i in state j by final state j */
1.202     brouard  5027:   for (k1=1; k1<= m ; k1 ++) { /* For each covariate if any */
1.201     brouard  5028:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each inital state  */
                   5029:       k=3;
                   5030:       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);
                   5031:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJT_"),cpt,k1);
                   5032:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   5033: set ter svg size 640, 480\n\
                   5034: unset log y\n\
                   5035: plot [%.f:%.f]  ", ageminpar, agemaxpar);
                   5036:       for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   5037:        if(j==1)
                   5038:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   5039:        else
                   5040:          fprintf(ficgp,", '' ");
                   5041:        l=(nlstate+ndeath)*(cpt-1) +j;
                   5042:        fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):($%d",k1,k+l);
                   5043:        /* for (i=2; i<= nlstate+ndeath ; i ++) */
                   5044:        /*   fprintf(ficgp,"+$%d",k+l+i-1); */
                   5045:        fprintf(ficgp,") t \"l(%d,%d)\" w l",cpt,j);
                   5046:       } /* nlstate */
                   5047:       fprintf(ficgp,", '' ");
                   5048:       fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):(",k1);
                   5049:       for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   5050:        l=(nlstate+ndeath)*(cpt-1) +j;
                   5051:        if(j < nlstate)
                   5052:          fprintf(ficgp,"$%d +",k+l);
                   5053:        else
                   5054:          fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
                   5055:       }
                   5056:       fprintf(ficgp,"\nset out\n");
                   5057:     } /* end cpt state*/ 
                   5058:   } /* end covariate */  
                   5059: 
1.202     brouard  5060:   /* CV preval stable (period) for each covariate */
                   5061:   for (k1=1; k1<= m ; k1 ++) { /* For each covariate if any */
1.153     brouard  5062:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.126     brouard  5063:       k=3;
1.153     brouard  5064:       fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, cov=%d state=%d",k1, cpt);
1.201     brouard  5065:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"P_"),cpt,k1);
1.126     brouard  5066:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.199     brouard  5067: set ter svg size 640, 480\n\
1.126     brouard  5068: unset log y\n\
1.153     brouard  5069: plot [%.f:%.f]  ", ageminpar, agemaxpar);
                   5070:       for (i=1; i<= nlstate ; i ++){
                   5071:        if(i==1)
1.201     brouard  5072:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
1.153     brouard  5073:        else
                   5074:          fprintf(ficgp,", '' ");
1.154     brouard  5075:        l=(nlstate+ndeath)*(i-1)+1;
                   5076:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
1.201     brouard  5077:        for (j=2; j<= nlstate ; j ++)
                   5078:          fprintf(ficgp,"+$%d",k+l+j-1);
1.153     brouard  5079:        fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
                   5080:       } /* nlstate */
1.201     brouard  5081:       fprintf(ficgp,"\nset out\n");
1.153     brouard  5082:     } /* end cpt state*/ 
                   5083:   } /* end covariate */  
1.201     brouard  5084: 
1.126     brouard  5085:   /* proba elementaires */
1.187     brouard  5086:   fprintf(ficgp,"\n##############\n#MLE estimated parameters\n#############\n");
1.126     brouard  5087:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  5088:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  5089:     for(k=1; k <=(nlstate+ndeath); k++){
                   5090:       if (k != i) {
1.187     brouard  5091:        fprintf(ficgp,"#   current state %d\n",k);
1.126     brouard  5092:        for(j=1; j <=ncovmodel; j++){
1.187     brouard  5093:          fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
1.126     brouard  5094:          jk++; 
                   5095:        }
1.187     brouard  5096:        fprintf(ficgp,"\n");
1.126     brouard  5097:       }
                   5098:     }
                   5099:    }
1.187     brouard  5100:   fprintf(ficgp,"##############\n#\n");
                   5101: 
1.145     brouard  5102:   /*goto avoid;*/
1.200     brouard  5103:   fprintf(ficgp,"\n##############\n#Graphics of probabilities or incidences\n#############\n");
1.187     brouard  5104:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   5105:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   5106:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   5107:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   5108:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   5109:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   5110:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   5111:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   5112:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   5113:   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   5114:   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
                   5115:   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   5116:   fprintf(ficgp,"#\n");
1.201     brouard  5117:    for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
1.187     brouard  5118:      fprintf(ficgp,"# ng=%d\n",ng);
                   5119:      fprintf(ficgp,"#   jk=1 to 2^%d=%d\n",cptcoveff,m);
1.126     brouard  5120:      for(jk=1; jk <=m; jk++) {
1.187     brouard  5121:        fprintf(ficgp,"#    jk=%d\n",jk);
1.201     brouard  5122:        fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),jk,ng);
                   5123:        fprintf(ficgp,"\nset ter svg size 640, 480 ");
                   5124:        if (ng==1){
                   5125:         fprintf(ficgp,"\nset ylabel \"Value of the logit of the model\"\n"); /* exp(a12+b12*x) could be nice */
                   5126:         fprintf(ficgp,"\nunset log y");
                   5127:        }else if (ng==2){
                   5128:         fprintf(ficgp,"\nset ylabel \"Probability\"\n");
                   5129:         fprintf(ficgp,"\nset log y");
                   5130:        }else if (ng==3){
1.126     brouard  5131:         fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
1.201     brouard  5132:         fprintf(ficgp,"\nset log y");
                   5133:        }else
                   5134:         fprintf(ficgp,"\nunset title ");
                   5135:        fprintf(ficgp,"\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
1.126     brouard  5136:        i=1;
                   5137:        for(k2=1; k2<=nlstate; k2++) {
                   5138:         k3=i;
                   5139:         for(k=1; k<=(nlstate+ndeath); k++) {
                   5140:           if (k != k2){
1.201     brouard  5141:             switch( ng) {
                   5142:             case 1:
1.187     brouard  5143:               if(nagesqr==0)
1.201     brouard  5144:                 fprintf(ficgp," p%d+p%d*x",i,i+1);
1.187     brouard  5145:               else /* nagesqr =1 */
1.201     brouard  5146:                 fprintf(ficgp," p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   5147:               break;
                   5148:             case 2: /* ng=2 */
1.187     brouard  5149:               if(nagesqr==0)
                   5150:                 fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   5151:               else /* nagesqr =1 */
1.201     brouard  5152:                   fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   5153:               break;
                   5154:             case 3:
                   5155:               if(nagesqr==0)
                   5156:                 fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   5157:               else /* nagesqr =1 */
                   5158:                 fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                   5159:               break;
                   5160:             }
1.141     brouard  5161:             ij=1;/* To be checked else nbcode[0][0] wrong */
1.187     brouard  5162:             for(j=3; j <=ncovmodel-nagesqr; j++) {
1.197     brouard  5163:               /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
                   5164:               if(ij <=cptcovage) { /* Bug valgrind */
                   5165:                 if((j-2)==Tage[ij]) { /* Bug valgrind */
1.200     brouard  5166:                   fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                   5167:                   /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
1.197     brouard  5168:                   ij++;
                   5169:                 }
1.186     brouard  5170:               }
                   5171:               else
1.198     brouard  5172:                 fprintf(ficgp,"+p%d*%d",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
1.126     brouard  5173:             }
1.201     brouard  5174:             if(ng != 1){
                   5175:               fprintf(ficgp,")/(1");
1.126     brouard  5176:             
1.201     brouard  5177:               for(k1=1; k1 <=nlstate; k1++){ 
                   5178:                 if(nagesqr==0)
                   5179:                   fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
                   5180:                 else /* nagesqr =1 */
                   5181:                   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);
                   5182:                 
                   5183:                 ij=1;
                   5184:                 for(j=3; j <=ncovmodel-nagesqr; j++){
                   5185:                   if(ij <=cptcovage) { /* Bug valgrind */
                   5186:                     if((j-2)==Tage[ij]) { /* Bug valgrind */
                   5187:                       fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                   5188:                       /* fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
                   5189:                       ij++;
                   5190:                     }
1.197     brouard  5191:                   }
1.201     brouard  5192:                   else
                   5193:                     fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
1.186     brouard  5194:                 }
1.201     brouard  5195:                 fprintf(ficgp,")");
1.126     brouard  5196:               }
                   5197:               fprintf(ficgp,")");
1.201     brouard  5198:               if(ng ==2)
                   5199:                 fprintf(ficgp," t \"p%d%d\" ", k2,k);
                   5200:               else /* ng= 3 */
                   5201:                 fprintf(ficgp," t \"i%d%d\" ", k2,k);
                   5202:             }else{ /* end ng <> 1 */
                   5203:               fprintf(ficgp," t \"logit(p%d%d)\" ", k2,k);
1.126     brouard  5204:             }
                   5205:             if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");
                   5206:             i=i+ncovmodel;
                   5207:           }
                   5208:         } /* end k */
                   5209:        } /* end k2 */
1.201     brouard  5210:        fprintf(ficgp,"\n set out\n");
1.126     brouard  5211:      } /* end jk */
                   5212:    } /* end ng */
1.164     brouard  5213:  /* avoid: */
1.126     brouard  5214:    fflush(ficgp); 
                   5215: }  /* end gnuplot */
                   5216: 
                   5217: 
                   5218: /*************** Moving average **************/
                   5219: int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav){
                   5220: 
                   5221:   int i, cpt, cptcod;
                   5222:   int modcovmax =1;
                   5223:   int mobilavrange, mob;
                   5224:   double age;
                   5225: 
                   5226:   modcovmax=2*cptcoveff;/* Max number of modalities. We suppose 
                   5227:                           a covariate has 2 modalities */
                   5228:   if (cptcovn<1) modcovmax=1; /* At least 1 pass */
                   5229: 
                   5230:   if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   5231:     if(mobilav==1) mobilavrange=5; /* default */
                   5232:     else mobilavrange=mobilav;
                   5233:     for (age=bage; age<=fage; age++)
                   5234:       for (i=1; i<=nlstate;i++)
                   5235:        for (cptcod=1;cptcod<=modcovmax;cptcod++)
                   5236:          mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   5237:     /* We keep the original values on the extreme ages bage, fage and for 
                   5238:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   5239:        we use a 5 terms etc. until the borders are no more concerned. 
                   5240:     */ 
                   5241:     for (mob=3;mob <=mobilavrange;mob=mob+2){
                   5242:       for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
                   5243:        for (i=1; i<=nlstate;i++){
                   5244:          for (cptcod=1;cptcod<=modcovmax;cptcod++){
                   5245:            mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                   5246:              for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   5247:                mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   5248:                mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                   5249:              }
                   5250:            mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
                   5251:          }
                   5252:        }
                   5253:       }/* end age */
                   5254:     }/* end mob */
                   5255:   }else return -1;
                   5256:   return 0;
                   5257: }/* End movingaverage */
                   5258: 
                   5259: 
                   5260: /************** Forecasting ******************/
1.169     brouard  5261: 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  5262:   /* proj1, year, month, day of starting projection 
                   5263:      agemin, agemax range of age
                   5264:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   5265:      anproj2 year of en of projection (same day and month as proj1).
                   5266:   */
1.164     brouard  5267:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1;
1.126     brouard  5268:   double agec; /* generic age */
                   5269:   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
                   5270:   double *popeffectif,*popcount;
                   5271:   double ***p3mat;
                   5272:   double ***mobaverage;
                   5273:   char fileresf[FILENAMELENGTH];
                   5274: 
                   5275:   agelim=AGESUP;
                   5276:   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   5277:  
1.201     brouard  5278:   strcpy(fileresf,"F_"); 
                   5279:   strcat(fileresf,fileresu);
1.126     brouard  5280:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   5281:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   5282:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   5283:   }
                   5284:   printf("Computing forecasting: result on file '%s' \n", fileresf);
                   5285:   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", fileresf);
                   5286: 
                   5287:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   5288: 
                   5289:   if (mobilav!=0) {
                   5290:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5291:     if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
                   5292:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   5293:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   5294:     }
                   5295:   }
                   5296: 
                   5297:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   5298:   if (stepm<=12) stepsize=1;
                   5299:   if(estepm < stepm){
                   5300:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   5301:   }
                   5302:   else  hstepm=estepm;   
                   5303: 
                   5304:   hstepm=hstepm/stepm; 
                   5305:   yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                   5306:                                fractional in yp1 */
                   5307:   anprojmean=yp;
                   5308:   yp2=modf((yp1*12),&yp);
                   5309:   mprojmean=yp;
                   5310:   yp1=modf((yp2*30.5),&yp);
                   5311:   jprojmean=yp;
                   5312:   if(jprojmean==0) jprojmean=1;
                   5313:   if(mprojmean==0) jprojmean=1;
                   5314: 
                   5315:   i1=cptcoveff;
                   5316:   if (cptcovn < 1){i1=1;}
                   5317:   
                   5318:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
                   5319:   
                   5320:   fprintf(ficresf,"#****** Routine prevforecast **\n");
                   5321: 
                   5322: /*           if (h==(int)(YEARM*yearp)){ */
                   5323:   for(cptcov=1, k=0;cptcov<=i1;cptcov++){
                   5324:     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
                   5325:       k=k+1;
                   5326:       fprintf(ficresf,"\n#******");
                   5327:       for(j=1;j<=cptcoveff;j++) {
1.198     brouard  5328:        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  5329:       }
                   5330:       fprintf(ficresf,"******\n");
                   5331:       fprintf(ficresf,"# Covariate valuofcovar yearproj age");
                   5332:       for(j=1; j<=nlstate+ndeath;j++){ 
                   5333:        for(i=1; i<=nlstate;i++)              
                   5334:           fprintf(ficresf," p%d%d",i,j);
                   5335:        fprintf(ficresf," p.%d",j);
                   5336:       }
                   5337:       for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) { 
                   5338:        fprintf(ficresf,"\n");
                   5339:        fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
                   5340: 
                   5341:        for (agec=fage; agec>=(ageminpar-1); agec--){ 
                   5342:          nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   5343:          nhstepm = nhstepm/hstepm; 
                   5344:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5345:          oldm=oldms;savm=savms;
                   5346:          hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   5347:        
                   5348:          for (h=0; h<=nhstepm; h++){
                   5349:            if (h*hstepm/YEARM*stepm ==yearp) {
                   5350:               fprintf(ficresf,"\n");
                   5351:               for(j=1;j<=cptcoveff;j++) 
1.198     brouard  5352:                 fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  5353:              fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
                   5354:            } 
                   5355:            for(j=1; j<=nlstate+ndeath;j++) {
                   5356:              ppij=0.;
                   5357:              for(i=1; i<=nlstate;i++) {
                   5358:                if (mobilav==1) 
                   5359:                  ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod];
                   5360:                else {
                   5361:                  ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod];
                   5362:                }
                   5363:                if (h*hstepm/YEARM*stepm== yearp) {
                   5364:                  fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   5365:                }
                   5366:              } /* end i */
                   5367:              if (h*hstepm/YEARM*stepm==yearp) {
                   5368:                fprintf(ficresf," %.3f", ppij);
                   5369:              }
                   5370:            }/* end j */
                   5371:          } /* end h */
                   5372:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5373:        } /* end agec */
                   5374:       } /* end yearp */
                   5375:     } /* end cptcod */
                   5376:   } /* end  cptcov */
                   5377:        
                   5378:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5379: 
                   5380:   fclose(ficresf);
                   5381: }
                   5382: 
                   5383: /************** Forecasting *****not tested NB*************/
1.169     brouard  5384: 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  5385:   
                   5386:   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
                   5387:   int *popage;
                   5388:   double calagedatem, agelim, kk1, kk2;
                   5389:   double *popeffectif,*popcount;
                   5390:   double ***p3mat,***tabpop,***tabpopprev;
                   5391:   double ***mobaverage;
                   5392:   char filerespop[FILENAMELENGTH];
                   5393: 
                   5394:   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5395:   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5396:   agelim=AGESUP;
                   5397:   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;
                   5398:   
                   5399:   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   5400:   
                   5401:   
1.201     brouard  5402:   strcpy(filerespop,"POP_"); 
                   5403:   strcat(filerespop,fileresu);
1.126     brouard  5404:   if((ficrespop=fopen(filerespop,"w"))==NULL) {
                   5405:     printf("Problem with forecast resultfile: %s\n", filerespop);
                   5406:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);
                   5407:   }
                   5408:   printf("Computing forecasting: result on file '%s' \n", filerespop);
                   5409:   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);
                   5410: 
                   5411:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   5412: 
                   5413:   if (mobilav!=0) {
                   5414:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5415:     if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
                   5416:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   5417:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   5418:     }
                   5419:   }
                   5420: 
                   5421:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   5422:   if (stepm<=12) stepsize=1;
                   5423:   
                   5424:   agelim=AGESUP;
                   5425:   
                   5426:   hstepm=1;
                   5427:   hstepm=hstepm/stepm; 
                   5428:   
                   5429:   if (popforecast==1) {
                   5430:     if((ficpop=fopen(popfile,"r"))==NULL) {
                   5431:       printf("Problem with population file : %s\n",popfile);exit(0);
                   5432:       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);
                   5433:     } 
                   5434:     popage=ivector(0,AGESUP);
                   5435:     popeffectif=vector(0,AGESUP);
                   5436:     popcount=vector(0,AGESUP);
                   5437:     
                   5438:     i=1;   
                   5439:     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;
                   5440:    
                   5441:     imx=i;
                   5442:     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];
                   5443:   }
                   5444: 
                   5445:   for(cptcov=1,k=0;cptcov<=i2;cptcov++){
                   5446:    for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
                   5447:       k=k+1;
                   5448:       fprintf(ficrespop,"\n#******");
                   5449:       for(j=1;j<=cptcoveff;j++) {
1.198     brouard  5450:        fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  5451:       }
                   5452:       fprintf(ficrespop,"******\n");
                   5453:       fprintf(ficrespop,"# Age");
                   5454:       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);
                   5455:       if (popforecast==1)  fprintf(ficrespop," [Population]");
                   5456:       
                   5457:       for (cpt=0; cpt<=0;cpt++) { 
                   5458:        fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
                   5459:        
                   5460:        for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
                   5461:          nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
                   5462:          nhstepm = nhstepm/hstepm; 
                   5463:          
                   5464:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5465:          oldm=oldms;savm=savms;
                   5466:          hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   5467:        
                   5468:          for (h=0; h<=nhstepm; h++){
                   5469:            if (h==(int) (calagedatem+YEARM*cpt)) {
                   5470:              fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                   5471:            } 
                   5472:            for(j=1; j<=nlstate+ndeath;j++) {
                   5473:              kk1=0.;kk2=0;
                   5474:              for(i=1; i<=nlstate;i++) {              
                   5475:                if (mobilav==1) 
                   5476:                  kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];
                   5477:                else {
                   5478:                  kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];
                   5479:                }
                   5480:              }
                   5481:              if (h==(int)(calagedatem+12*cpt)){
                   5482:                tabpop[(int)(agedeb)][j][cptcod]=kk1;
                   5483:                  /*fprintf(ficrespop," %.3f", kk1);
                   5484:                    if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/
                   5485:              }
                   5486:            }
                   5487:            for(i=1; i<=nlstate;i++){
                   5488:              kk1=0.;
                   5489:                for(j=1; j<=nlstate;j++){
                   5490:                  kk1= kk1+tabpop[(int)(agedeb)][j][cptcod]; 
                   5491:                }
                   5492:                  tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)];
                   5493:            }
                   5494: 
                   5495:            if (h==(int)(calagedatem+12*cpt)) for(j=1; j<=nlstate;j++) 
                   5496:              fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);
                   5497:          }
                   5498:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5499:        }
                   5500:       }
                   5501:  
                   5502:   /******/
                   5503: 
                   5504:       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) { 
                   5505:        fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
                   5506:        for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
                   5507:          nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
                   5508:          nhstepm = nhstepm/hstepm; 
                   5509:          
                   5510:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5511:          oldm=oldms;savm=savms;
                   5512:          hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   5513:          for (h=0; h<=nhstepm; h++){
                   5514:            if (h==(int) (calagedatem+YEARM*cpt)) {
                   5515:              fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                   5516:            } 
                   5517:            for(j=1; j<=nlstate+ndeath;j++) {
                   5518:              kk1=0.;kk2=0;
                   5519:              for(i=1; i<=nlstate;i++) {              
                   5520:                kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];    
                   5521:              }
                   5522:              if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);        
                   5523:            }
                   5524:          }
                   5525:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5526:        }
                   5527:       }
                   5528:    } 
                   5529:   }
                   5530:  
                   5531:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5532: 
                   5533:   if (popforecast==1) {
                   5534:     free_ivector(popage,0,AGESUP);
                   5535:     free_vector(popeffectif,0,AGESUP);
                   5536:     free_vector(popcount,0,AGESUP);
                   5537:   }
                   5538:   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5539:   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5540:   fclose(ficrespop);
                   5541: } /* End of popforecast */
                   5542: 
                   5543: int fileappend(FILE *fichier, char *optionfich)
                   5544: {
                   5545:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   5546:     printf("Problem with file: %s\n", optionfich);
                   5547:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   5548:     return (0);
                   5549:   }
                   5550:   fflush(fichier);
                   5551:   return (1);
                   5552: }
                   5553: 
                   5554: 
                   5555: /**************** function prwizard **********************/
                   5556: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   5557: {
                   5558: 
                   5559:   /* Wizard to print covariance matrix template */
                   5560: 
1.164     brouard  5561:   char ca[32], cb[32];
                   5562:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  5563:   int numlinepar;
                   5564: 
                   5565:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   5566:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   5567:   for(i=1; i <=nlstate; i++){
                   5568:     jj=0;
                   5569:     for(j=1; j <=nlstate+ndeath; j++){
                   5570:       if(j==i) continue;
                   5571:       jj++;
                   5572:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   5573:       printf("%1d%1d",i,j);
                   5574:       fprintf(ficparo,"%1d%1d",i,j);
                   5575:       for(k=1; k<=ncovmodel;k++){
                   5576:        /*        printf(" %lf",param[i][j][k]); */
                   5577:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   5578:        printf(" 0.");
                   5579:        fprintf(ficparo," 0.");
                   5580:       }
                   5581:       printf("\n");
                   5582:       fprintf(ficparo,"\n");
                   5583:     }
                   5584:   }
                   5585:   printf("# Scales (for hessian or gradient estimation)\n");
                   5586:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   5587:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   5588:   for(i=1; i <=nlstate; i++){
                   5589:     jj=0;
                   5590:     for(j=1; j <=nlstate+ndeath; j++){
                   5591:       if(j==i) continue;
                   5592:       jj++;
                   5593:       fprintf(ficparo,"%1d%1d",i,j);
                   5594:       printf("%1d%1d",i,j);
                   5595:       fflush(stdout);
                   5596:       for(k=1; k<=ncovmodel;k++){
                   5597:        /*      printf(" %le",delti3[i][j][k]); */
                   5598:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   5599:        printf(" 0.");
                   5600:        fprintf(ficparo," 0.");
                   5601:       }
                   5602:       numlinepar++;
                   5603:       printf("\n");
                   5604:       fprintf(ficparo,"\n");
                   5605:     }
                   5606:   }
                   5607:   printf("# Covariance matrix\n");
                   5608: /* # 121 Var(a12)\n\ */
                   5609: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   5610: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   5611: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   5612: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   5613: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   5614: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   5615: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   5616:   fflush(stdout);
                   5617:   fprintf(ficparo,"# Covariance matrix\n");
                   5618:   /* # 121 Var(a12)\n\ */
                   5619:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   5620:   /* #   ...\n\ */
                   5621:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   5622:   
                   5623:   for(itimes=1;itimes<=2;itimes++){
                   5624:     jj=0;
                   5625:     for(i=1; i <=nlstate; i++){
                   5626:       for(j=1; j <=nlstate+ndeath; j++){
                   5627:        if(j==i) continue;
                   5628:        for(k=1; k<=ncovmodel;k++){
                   5629:          jj++;
                   5630:          ca[0]= k+'a'-1;ca[1]='\0';
                   5631:          if(itimes==1){
                   5632:            printf("#%1d%1d%d",i,j,k);
                   5633:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   5634:          }else{
                   5635:            printf("%1d%1d%d",i,j,k);
                   5636:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   5637:            /*  printf(" %.5le",matcov[i][j]); */
                   5638:          }
                   5639:          ll=0;
                   5640:          for(li=1;li <=nlstate; li++){
                   5641:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   5642:              if(lj==li) continue;
                   5643:              for(lk=1;lk<=ncovmodel;lk++){
                   5644:                ll++;
                   5645:                if(ll<=jj){
                   5646:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   5647:                  if(ll<jj){
                   5648:                    if(itimes==1){
                   5649:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   5650:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   5651:                    }else{
                   5652:                      printf(" 0.");
                   5653:                      fprintf(ficparo," 0.");
                   5654:                    }
                   5655:                  }else{
                   5656:                    if(itimes==1){
                   5657:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   5658:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   5659:                    }else{
                   5660:                      printf(" 0.");
                   5661:                      fprintf(ficparo," 0.");
                   5662:                    }
                   5663:                  }
                   5664:                }
                   5665:              } /* end lk */
                   5666:            } /* end lj */
                   5667:          } /* end li */
                   5668:          printf("\n");
                   5669:          fprintf(ficparo,"\n");
                   5670:          numlinepar++;
                   5671:        } /* end k*/
                   5672:       } /*end j */
                   5673:     } /* end i */
                   5674:   } /* end itimes */
                   5675: 
                   5676: } /* end of prwizard */
                   5677: /******************* Gompertz Likelihood ******************************/
                   5678: double gompertz(double x[])
                   5679: { 
                   5680:   double A,B,L=0.0,sump=0.,num=0.;
                   5681:   int i,n=0; /* n is the size of the sample */
                   5682: 
                   5683:   for (i=0;i<=imx-1 ; i++) {
                   5684:     sump=sump+weight[i];
                   5685:     /*    sump=sump+1;*/
                   5686:     num=num+1;
                   5687:   }
                   5688:  
                   5689:  
                   5690:   /* for (i=0; i<=imx; i++) 
                   5691:      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]);*/
                   5692: 
                   5693:   for (i=1;i<=imx ; i++)
                   5694:     {
                   5695:       if (cens[i] == 1 && wav[i]>1)
                   5696:        A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   5697:       
                   5698:       if (cens[i] == 0 && wav[i]>1)
                   5699:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                   5700:             +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
                   5701:       
                   5702:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   5703:       if (wav[i] > 1 ) { /* ??? */
                   5704:        L=L+A*weight[i];
                   5705:        /*      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]);*/
                   5706:       }
                   5707:     }
                   5708: 
                   5709:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   5710:  
                   5711:   return -2*L*num/sump;
                   5712: }
                   5713: 
1.136     brouard  5714: #ifdef GSL
                   5715: /******************* Gompertz_f Likelihood ******************************/
                   5716: double gompertz_f(const gsl_vector *v, void *params)
                   5717: { 
                   5718:   double A,B,LL=0.0,sump=0.,num=0.;
                   5719:   double *x= (double *) v->data;
                   5720:   int i,n=0; /* n is the size of the sample */
                   5721: 
                   5722:   for (i=0;i<=imx-1 ; i++) {
                   5723:     sump=sump+weight[i];
                   5724:     /*    sump=sump+1;*/
                   5725:     num=num+1;
                   5726:   }
                   5727:  
                   5728:  
                   5729:   /* for (i=0; i<=imx; i++) 
                   5730:      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]);*/
                   5731:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   5732:   for (i=1;i<=imx ; i++)
                   5733:     {
                   5734:       if (cens[i] == 1 && wav[i]>1)
                   5735:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   5736:       
                   5737:       if (cens[i] == 0 && wav[i]>1)
                   5738:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   5739:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   5740:       
                   5741:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   5742:       if (wav[i] > 1 ) { /* ??? */
                   5743:        LL=LL+A*weight[i];
                   5744:        /*      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]);*/
                   5745:       }
                   5746:     }
                   5747: 
                   5748:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   5749:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   5750:  
                   5751:   return -2*LL*num/sump;
                   5752: }
                   5753: #endif
                   5754: 
1.126     brouard  5755: /******************* Printing html file ***********/
1.201     brouard  5756: void printinghtmlmort(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  5757:                  int lastpass, int stepm, int weightopt, char model[],\
                   5758:                  int imx,  double p[],double **matcov,double agemortsup){
                   5759:   int i,k;
                   5760: 
                   5761:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   5762:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   5763:   for (i=1;i<=2;i++) 
                   5764:     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  5765:   fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
1.126     brouard  5766:   fprintf(fichtm,"</ul>");
                   5767: 
                   5768: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   5769: 
                   5770:  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>");
                   5771: 
                   5772:  for (k=agegomp;k<(agemortsup-2);k++) 
                   5773:    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]);
                   5774: 
                   5775:  
                   5776:   fflush(fichtm);
                   5777: }
                   5778: 
                   5779: /******************* Gnuplot file **************/
1.201     brouard  5780: void printinggnuplotmort(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
1.126     brouard  5781: 
                   5782:   char dirfileres[132],optfileres[132];
1.164     brouard  5783: 
1.126     brouard  5784:   int ng;
                   5785: 
                   5786: 
                   5787:   /*#ifdef windows */
                   5788:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   5789:     /*#endif */
                   5790: 
                   5791: 
                   5792:   strcpy(dirfileres,optionfilefiname);
                   5793:   strcpy(optfileres,"vpl");
1.199     brouard  5794:   fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
1.126     brouard  5795:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.199     brouard  5796:   fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
1.145     brouard  5797:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  5798:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   5799: 
                   5800: } 
                   5801: 
1.136     brouard  5802: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   5803: {
1.126     brouard  5804: 
1.136     brouard  5805:   /*-------- data file ----------*/
                   5806:   FILE *fic;
                   5807:   char dummy[]="                         ";
1.164     brouard  5808:   int i=0, j=0, n=0;
1.136     brouard  5809:   int linei, month, year,iout;
                   5810:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  5811:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  5812:   char *stratrunc;
                   5813:   int lstra;
1.126     brouard  5814: 
                   5815: 
1.136     brouard  5816:   if((fic=fopen(datafile,"r"))==NULL)    {
1.195     brouard  5817:     printf("Problem while opening datafile: %s\n", datafile);fflush(stdout);
                   5818:     fprintf(ficlog,"Problem while opening datafile: %s\n", datafile);fflush(ficlog);return 1;
1.136     brouard  5819:   }
1.126     brouard  5820: 
1.136     brouard  5821:   i=1;
                   5822:   linei=0;
                   5823:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   5824:     linei=linei+1;
                   5825:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   5826:       if(line[j] == '\t')
                   5827:        line[j] = ' ';
                   5828:     }
                   5829:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   5830:       ;
                   5831:     };
                   5832:     line[j+1]=0;  /* Trims blanks at end of line */
                   5833:     if(line[0]=='#'){
                   5834:       fprintf(ficlog,"Comment line\n%s\n",line);
                   5835:       printf("Comment line\n%s\n",line);
                   5836:       continue;
                   5837:     }
                   5838:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  5839:     strcpy(line, linetmp);
1.136     brouard  5840:   
1.126     brouard  5841: 
1.136     brouard  5842:     for (j=maxwav;j>=1;j--){
1.137     brouard  5843:       cutv(stra, strb, line, ' '); 
1.136     brouard  5844:       if(strb[0]=='.') { /* Missing status */
                   5845:        lval=-1;
                   5846:       }else{
                   5847:        errno=0;
                   5848:        lval=strtol(strb,&endptr,10); 
                   5849:       /*       if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   5850:        if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  5851:          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);
                   5852:          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  5853:          return 1;
                   5854:        }
                   5855:       }
                   5856:       s[j][i]=lval;
                   5857:       
                   5858:       strcpy(line,stra);
                   5859:       cutv(stra, strb,line,' ');
1.169     brouard  5860:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  5861:       }
1.169     brouard  5862:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  5863:        month=99;
                   5864:        year=9999;
                   5865:       }else{
1.141     brouard  5866:        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);
                   5867:        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  5868:        return 1;
                   5869:       }
                   5870:       anint[j][i]= (double) year; 
                   5871:       mint[j][i]= (double)month; 
                   5872:       strcpy(line,stra);
                   5873:     } /* ENd Waves */
                   5874:     
                   5875:     cutv(stra, strb,line,' '); 
1.169     brouard  5876:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  5877:     }
1.169     brouard  5878:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  5879:       month=99;
                   5880:       year=9999;
                   5881:     }else{
1.141     brouard  5882:       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);
                   5883:        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  5884:        return 1;
                   5885:     }
                   5886:     andc[i]=(double) year; 
                   5887:     moisdc[i]=(double) month; 
                   5888:     strcpy(line,stra);
                   5889:     
                   5890:     cutv(stra, strb,line,' '); 
1.169     brouard  5891:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  5892:     }
1.169     brouard  5893:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  5894:       month=99;
                   5895:       year=9999;
                   5896:     }else{
1.141     brouard  5897:       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);
                   5898:       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  5899:        return 1;
                   5900:     }
                   5901:     if (year==9999) {
1.141     brouard  5902:       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);
                   5903:       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  5904:        return 1;
1.126     brouard  5905: 
1.136     brouard  5906:     }
                   5907:     annais[i]=(double)(year);
                   5908:     moisnais[i]=(double)(month); 
                   5909:     strcpy(line,stra);
                   5910:     
                   5911:     cutv(stra, strb,line,' '); 
                   5912:     errno=0;
                   5913:     dval=strtod(strb,&endptr); 
                   5914:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  5915:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   5916:       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  5917:       fflush(ficlog);
                   5918:       return 1;
                   5919:     }
                   5920:     weight[i]=dval; 
                   5921:     strcpy(line,stra);
                   5922:     
                   5923:     for (j=ncovcol;j>=1;j--){
                   5924:       cutv(stra, strb,line,' '); 
                   5925:       if(strb[0]=='.') { /* Missing status */
                   5926:        lval=-1;
                   5927:       }else{
                   5928:        errno=0;
                   5929:        lval=strtol(strb,&endptr,10); 
                   5930:        if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  5931:          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);
                   5932:          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  5933:          return 1;
                   5934:        }
                   5935:       }
                   5936:       if(lval <-1 || lval >1){
1.141     brouard  5937:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  5938:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   5939:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
                   5940:  For example, for multinomial values like 1, 2 and 3,\n \
                   5941:  build V1=0 V2=0 for the reference value (1),\n \
                   5942:         V1=1 V2=0 for (2) \n \
                   5943:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
                   5944:  output of IMaCh is often meaningless.\n \
                   5945:  Exiting.\n",lval,linei, i,line,j);
1.141     brouard  5946:        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  5947:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   5948:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
                   5949:  For example, for multinomial values like 1, 2 and 3,\n \
                   5950:  build V1=0 V2=0 for the reference value (1),\n \
                   5951:         V1=1 V2=0 for (2) \n \
                   5952:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
                   5953:  output of IMaCh is often meaningless.\n \
                   5954:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
                   5955:        return 1;
                   5956:       }
                   5957:       covar[j][i]=(double)(lval);
                   5958:       strcpy(line,stra);
                   5959:     }  
                   5960:     lstra=strlen(stra);
                   5961:      
                   5962:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   5963:       stratrunc = &(stra[lstra-9]);
                   5964:       num[i]=atol(stratrunc);
                   5965:     }
                   5966:     else
                   5967:       num[i]=atol(stra);
                   5968:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   5969:       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;}*/
                   5970:     
                   5971:     i=i+1;
                   5972:   } /* End loop reading  data */
1.126     brouard  5973: 
1.136     brouard  5974:   *imax=i-1; /* Number of individuals */
                   5975:   fclose(fic);
                   5976:  
                   5977:   return (0);
1.164     brouard  5978:   /* endread: */
1.136     brouard  5979:     printf("Exiting readdata: ");
                   5980:     fclose(fic);
                   5981:     return (1);
1.126     brouard  5982: 
                   5983: 
                   5984: 
1.136     brouard  5985: }
1.145     brouard  5986: void removespace(char *str) {
                   5987:   char *p1 = str, *p2 = str;
                   5988:   do
                   5989:     while (*p2 == ' ')
                   5990:       p2++;
1.169     brouard  5991:   while (*p1++ == *p2++);
1.145     brouard  5992: }
                   5993: 
                   5994: int decodemodel ( char model[], int lastobs) /**< This routine decode the model and returns:
1.187     brouard  5995:    * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   5996:    * - nagesqr = 1 if age*age in the model, otherwise 0.
                   5997:    * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   5998:    * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
1.145     brouard  5999:    * - cptcovage number of covariates with age*products =2
                   6000:    * - cptcovs number of simple covariates
                   6001:    * - 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
                   6002:    *     which is a new column after the 9 (ncovcol) variables. 
                   6003:    * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
                   6004:    * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   6005:    *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   6006:    * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   6007:  */
1.136     brouard  6008: {
1.145     brouard  6009:   int i, j, k, ks;
1.164     brouard  6010:   int  j1, k1, k2;
1.136     brouard  6011:   char modelsav[80];
1.145     brouard  6012:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  6013:   char *strpt;
1.136     brouard  6014: 
1.145     brouard  6015:   /*removespace(model);*/
1.136     brouard  6016:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  6017:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  6018:     if (strstr(model,"AGE") !=0){
1.192     brouard  6019:       printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
                   6020:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
1.136     brouard  6021:       return 1;
                   6022:     }
1.141     brouard  6023:     if (strstr(model,"v") !=0){
                   6024:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   6025:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   6026:       return 1;
                   6027:     }
1.187     brouard  6028:     strcpy(modelsav,model); 
                   6029:     if ((strpt=strstr(model,"age*age")) !=0){
                   6030:       printf(" strpt=%s, model=%s\n",strpt, model);
                   6031:       if(strpt != model){
                   6032:       printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  6033:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  6034:  corresponding column of parameters.\n",model);
                   6035:       fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  6036:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  6037:  corresponding column of parameters.\n",model); fflush(ficlog);
                   6038:       return 1;
                   6039:     }
                   6040: 
                   6041:       nagesqr=1;
                   6042:       if (strstr(model,"+age*age") !=0)
                   6043:        substrchaine(modelsav, model, "+age*age");
                   6044:       else if (strstr(model,"age*age+") !=0)
                   6045:        substrchaine(modelsav, model, "age*age+");
                   6046:       else 
                   6047:        substrchaine(modelsav, model, "age*age");
                   6048:     }else
                   6049:       nagesqr=0;
                   6050:     if (strlen(modelsav) >1){
                   6051:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   6052:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
                   6053:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =2  */
                   6054:       cptcovt= j+1; /* Number of total covariates in the model, not including
                   6055:                   * cst, age and age*age 
                   6056:                   * V1+V1*age+ V3 + V3*V4+age*age=> 4*/
                   6057:                   /* including age products which are counted in cptcovage.
                   6058:                  * but the covariates which are products must be treated 
                   6059:                  * separately: ncovn=4- 2=2 (V1+V3). */
                   6060:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   6061:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
                   6062: 
                   6063:     
                   6064:       /*   Design
                   6065:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   6066:        *  <          ncovcol=8                >
                   6067:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   6068:        *   k=  1    2      3       4     5       6      7        8
                   6069:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   6070:        *  covar[k,i], value of kth covariate if not including age for individual i:
                   6071:        *       covar[1][i]= (V2), covar[4][i]=(V3), covar[8][i]=(V8)
                   6072:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[4]=3 Tvar[8]=8
                   6073:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   6074:        *  Tage[++cptcovage]=k
                   6075:        *       if products, new covar are created after ncovcol with k1
                   6076:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   6077:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   6078:        *  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
                   6079:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   6080:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   6081:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   6082:        *  <          ncovcol=8                >
                   6083:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   6084:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   6085:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
                   6086:        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   6087:        * p Tprod[1]@2={                         6, 5}
                   6088:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   6089:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   6090:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                   6091:        *How to reorganize?
                   6092:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   6093:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   6094:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   6095:        * Struct []
                   6096:        */
1.145     brouard  6097: 
1.187     brouard  6098:       /* This loop fills the array Tvar from the string 'model'.*/
                   6099:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   6100:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   6101:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   6102:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   6103:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   6104:       /*       k=1 Tvar[1]=2 (from V2) */
                   6105:       /*       k=5 Tvar[5] */
                   6106:       /* for (k=1; k<=cptcovn;k++) { */
1.198     brouard  6107:       /*       cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.187     brouard  6108:       /*       } */
1.198     brouard  6109:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
1.187     brouard  6110:       /*
                   6111:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
                   6112:       for(k=cptcovt; k>=1;k--) /**< Number of covariates */
1.145     brouard  6113:         Tvar[k]=0;
1.187     brouard  6114:       cptcovage=0;
                   6115:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
                   6116:        cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
                   6117:                                         modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
                   6118:        if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
                   6119:        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                   6120:        /*scanf("%d",i);*/
                   6121:        if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
                   6122:          cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
                   6123:          if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                   6124:            /* covar is not filled and then is empty */
                   6125:            cptcovprod--;
                   6126:            cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                   6127:            Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
                   6128:            cptcovage++; /* Sums the number of covariates which include age as a product */
                   6129:            Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
                   6130:            /*printf("stre=%s ", stre);*/
                   6131:          } else if (strcmp(strd,"age")==0) { /* or age*Vn */
                   6132:            cptcovprod--;
                   6133:            cutl(stre,strb,strc,'V');
                   6134:            Tvar[k]=atoi(stre);
                   6135:            cptcovage++;
                   6136:            Tage[cptcovage]=k;
                   6137:          } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                   6138:            /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                   6139:            cptcovn++;
                   6140:            cptcovprodnoage++;k1++;
                   6141:            cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                   6142:            Tvar[k]=ncovcol+k1; /* For model-covariate k tells which data-covariate to use but
                   6143:                                   because this model-covariate is a construction we invent a new column
                   6144:                                   ncovcol + k1
                   6145:                                   If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                   6146:                                   Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
                   6147:            cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                   6148:            Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
                   6149:            Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                   6150:            Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                   6151:            k2=k2+2;
                   6152:            Tvar[cptcovt+k2]=Tvard[k1][1]; /* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) */
                   6153:            Tvar[cptcovt+k2+1]=Tvard[k1][2];  /* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) */
                   6154:            for (i=1; i<=lastobs;i++){
                   6155:              /* Computes the new covariate which is a product of
                   6156:                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                   6157:              covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   6158:            }
                   6159:          } /* End age is not in the model */
                   6160:        } /* End if model includes a product */
                   6161:        else { /* no more sum */
                   6162:          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                   6163:          /*  scanf("%d",i);*/
                   6164:          cutl(strd,strc,strb,'V');
                   6165:          ks++; /**< Number of simple covariates */
1.145     brouard  6166:          cptcovn++;
1.187     brouard  6167:          Tvar[k]=atoi(strd);
                   6168:        }
                   6169:        strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
                   6170:        /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
                   6171:          scanf("%d",i);*/
                   6172:       } /* end of loop + on total covariates */
                   6173:     } /* end if strlen(modelsave == 0) age*age might exist */
                   6174:   } /* end if strlen(model == 0) */
1.136     brouard  6175:   
                   6176:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   6177:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
                   6178: 
                   6179:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
                   6180:   printf("cptcovprod=%d ", cptcovprod);
                   6181:   fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
                   6182: 
                   6183:   scanf("%d ",i);*/
                   6184: 
                   6185: 
1.137     brouard  6186:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  6187:   /*endread:*/
1.136     brouard  6188:     printf("Exiting decodemodel: ");
                   6189:     return (1);
                   6190: }
                   6191: 
1.169     brouard  6192: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.136     brouard  6193: {
                   6194:   int i, m;
                   6195: 
                   6196:   for (i=1; i<=imx; i++) {
                   6197:     for(m=2; (m<= maxwav); m++) {
                   6198:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   6199:        anint[m][i]=9999;
                   6200:        s[m][i]=-1;
                   6201:       }
                   6202:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.169     brouard  6203:        *nberr = *nberr + 1;
                   6204:        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);
                   6205:        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  6206:        s[m][i]=-1;
                   6207:       }
                   6208:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  6209:        (*nberr)++;
1.136     brouard  6210:        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]); 
                   6211:        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]); 
                   6212:        s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
                   6213:       }
                   6214:     }
                   6215:   }
                   6216: 
                   6217:   for (i=1; i<=imx; i++)  {
                   6218:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   6219:     for(m=firstpass; (m<= lastpass); m++){
                   6220:       if(s[m][i] >0 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5){
                   6221:        if (s[m][i] >= nlstate+1) {
1.169     brouard  6222:          if(agedc[i]>0){
                   6223:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  6224:              agev[m][i]=agedc[i];
                   6225:          /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  6226:            }else {
1.136     brouard  6227:              if ((int)andc[i]!=9999){
                   6228:                nbwarn++;
                   6229:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   6230:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   6231:                agev[m][i]=-1;
                   6232:              }
                   6233:            }
1.169     brouard  6234:          } /* agedc > 0 */
1.136     brouard  6235:        }
                   6236:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   6237:                                 years but with the precision of a month */
                   6238:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   6239:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   6240:            agev[m][i]=1;
                   6241:          else if(agev[m][i] < *agemin){ 
                   6242:            *agemin=agev[m][i];
                   6243:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   6244:          }
                   6245:          else if(agev[m][i] >*agemax){
                   6246:            *agemax=agev[m][i];
1.156     brouard  6247:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  6248:          }
                   6249:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   6250:          /*     agev[m][i] = age[i]+2*m;*/
                   6251:        }
                   6252:        else { /* =9 */
                   6253:          agev[m][i]=1;
                   6254:          s[m][i]=-1;
                   6255:        }
                   6256:       }
                   6257:       else /*= 0 Unknown */
                   6258:        agev[m][i]=1;
                   6259:     }
                   6260:     
                   6261:   }
                   6262:   for (i=1; i<=imx; i++)  {
                   6263:     for(m=firstpass; (m<=lastpass); m++){
                   6264:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  6265:        (*nberr)++;
1.136     brouard  6266:        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);     
                   6267:        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);     
                   6268:        return 1;
                   6269:       }
                   6270:     }
                   6271:   }
                   6272: 
                   6273:   /*for (i=1; i<=imx; i++){
                   6274:   for (m=firstpass; (m<lastpass); m++){
                   6275:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   6276: }
                   6277: 
                   6278: }*/
                   6279: 
                   6280: 
1.139     brouard  6281:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   6282:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  6283: 
                   6284:   return (0);
1.164     brouard  6285:  /* endread:*/
1.136     brouard  6286:     printf("Exiting calandcheckages: ");
                   6287:     return (1);
                   6288: }
                   6289: 
1.172     brouard  6290: #if defined(_MSC_VER)
                   6291: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   6292: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   6293: //#include "stdafx.h"
                   6294: //#include <stdio.h>
                   6295: //#include <tchar.h>
                   6296: //#include <windows.h>
                   6297: //#include <iostream>
                   6298: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   6299: 
                   6300: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   6301: 
                   6302: BOOL IsWow64()
                   6303: {
                   6304:        BOOL bIsWow64 = FALSE;
                   6305: 
                   6306:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   6307:        //  (HANDLE, PBOOL);
                   6308: 
                   6309:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   6310: 
                   6311:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   6312:        const char funcName[] = "IsWow64Process";
                   6313:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   6314:                GetProcAddress(module, funcName);
                   6315: 
                   6316:        if (NULL != fnIsWow64Process)
                   6317:        {
                   6318:                if (!fnIsWow64Process(GetCurrentProcess(),
                   6319:                        &bIsWow64))
                   6320:                        //throw std::exception("Unknown error");
                   6321:                        printf("Unknown error\n");
                   6322:        }
                   6323:        return bIsWow64 != FALSE;
                   6324: }
                   6325: #endif
1.177     brouard  6326: 
1.191     brouard  6327: void syscompilerinfo(int logged)
1.167     brouard  6328:  {
                   6329:    /* #include "syscompilerinfo.h"*/
1.185     brouard  6330:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   6331:    /* /GS /W3 /Gy
                   6332:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   6333:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   6334:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  6335:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   6336:    */ 
                   6337:    /* 64 bits */
1.185     brouard  6338:    /*
                   6339:      /GS /W3 /Gy
                   6340:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   6341:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   6342:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   6343:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   6344:    /* Optimization are useless and O3 is slower than O2 */
                   6345:    /*
                   6346:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   6347:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   6348:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   6349:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   6350:    */
1.186     brouard  6351:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  6352:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   6353:       /PDB:"visual studio
                   6354:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   6355:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   6356:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   6357:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   6358:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   6359:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   6360:       uiAccess='false'"
                   6361:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   6362:       /NOLOGO /TLBID:1
                   6363:    */
1.177     brouard  6364: #if defined __INTEL_COMPILER
1.178     brouard  6365: #if defined(__GNUC__)
                   6366:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   6367: #endif
1.177     brouard  6368: #elif defined(__GNUC__) 
1.179     brouard  6369: #ifndef  __APPLE__
1.174     brouard  6370: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  6371: #endif
1.177     brouard  6372:    struct utsname sysInfo;
1.178     brouard  6373:    int cross = CROSS;
                   6374:    if (cross){
                   6375:           printf("Cross-");
1.191     brouard  6376:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  6377:    }
1.174     brouard  6378: #endif
                   6379: 
1.171     brouard  6380: #include <stdint.h>
1.178     brouard  6381: 
1.191     brouard  6382:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  6383: #if defined(__clang__)
1.191     brouard  6384:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  6385: #endif
                   6386: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191     brouard  6387:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  6388: #endif
                   6389: #if defined(__GNUC__) || defined(__GNUG__)
1.191     brouard  6390:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  6391: #endif
                   6392: #if defined(__HP_cc) || defined(__HP_aCC)
1.191     brouard  6393:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  6394: #endif
                   6395: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191     brouard  6396:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  6397: #endif
                   6398: #if defined(_MSC_VER)
1.191     brouard  6399:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  6400: #endif
                   6401: #if defined(__PGI)
1.191     brouard  6402:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  6403: #endif
                   6404: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191     brouard  6405:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  6406: #endif
1.191     brouard  6407:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  6408:    
1.167     brouard  6409: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   6410: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   6411:     // Windows (x64 and x86)
1.191     brouard  6412:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  6413: #elif __unix__ // all unices, not all compilers
                   6414:     // Unix
1.191     brouard  6415:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  6416: #elif __linux__
                   6417:     // linux
1.191     brouard  6418:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  6419: #elif __APPLE__
1.174     brouard  6420:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191     brouard  6421:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  6422: #endif
                   6423: 
                   6424: /*  __MINGW32__          */
                   6425: /*  __CYGWIN__  */
                   6426: /* __MINGW64__  */
                   6427: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   6428: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   6429: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   6430: /* _WIN64  // Defined for applications for Win64. */
                   6431: /* _M_X64 // Defined for compilations that target x64 processors. */
                   6432: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  6433: 
1.167     brouard  6434: #if UINTPTR_MAX == 0xffffffff
1.191     brouard  6435:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  6436: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191     brouard  6437:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  6438: #else
1.191     brouard  6439:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  6440: #endif
                   6441: 
1.169     brouard  6442: #if defined(__GNUC__)
                   6443: # if defined(__GNUC_PATCHLEVEL__)
                   6444: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   6445:                             + __GNUC_MINOR__ * 100 \
                   6446:                             + __GNUC_PATCHLEVEL__)
                   6447: # else
                   6448: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   6449:                             + __GNUC_MINOR__ * 100)
                   6450: # endif
1.174     brouard  6451:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191     brouard  6452:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  6453: 
                   6454:    if (uname(&sysInfo) != -1) {
                   6455:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191     brouard  6456:         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  6457:    }
                   6458:    else
                   6459:       perror("uname() error");
1.179     brouard  6460:    //#ifndef __INTEL_COMPILER 
                   6461: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  6462:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191     brouard  6463:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  6464: #endif
1.169     brouard  6465: #endif
1.172     brouard  6466: 
                   6467:    //   void main()
                   6468:    //   {
1.169     brouard  6469: #if defined(_MSC_VER)
1.174     brouard  6470:    if (IsWow64()){
1.191     brouard  6471:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
                   6472:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  6473:    }
                   6474:    else{
1.191     brouard  6475:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
                   6476:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  6477:    }
1.172     brouard  6478:    //     printf("\nPress Enter to continue...");
                   6479:    //     getchar();
                   6480:    //   }
                   6481: 
1.169     brouard  6482: #endif
                   6483:    
1.167     brouard  6484: 
                   6485:  }
1.136     brouard  6486: 
1.203     brouard  6487:  int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyear){
1.180     brouard  6488:   /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
                   6489:   int i, j, k, i1 ;
1.202     brouard  6490:   /* double ftolpl = 1.e-10; */
1.180     brouard  6491:   double age, agebase, agelim;
1.203     brouard  6492:   double tot;
1.180     brouard  6493: 
1.202     brouard  6494:   strcpy(filerespl,"PL_");
                   6495:   strcat(filerespl,fileresu);
                   6496:   if((ficrespl=fopen(filerespl,"w"))==NULL) {
                   6497:     printf("Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   6498:     fprintf(ficlog,"Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   6499:   }
                   6500:   printf("Computing period (stable) prevalence: result on file '%s' \n", filerespl);
                   6501:   fprintf(ficlog,"Computing period (stable) prevalence: result on file '%s' \n", filerespl);
                   6502:   pstamp(ficrespl);
1.203     brouard  6503:   fprintf(ficrespl,"# Period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.202     brouard  6504:   fprintf(ficrespl,"#Age ");
                   6505:   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   6506:   fprintf(ficrespl,"\n");
1.180     brouard  6507:   
                   6508:     /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   6509: 
                   6510:     agebase=ageminpar;
                   6511:     agelim=agemaxpar;
                   6512: 
                   6513:     i1=pow(2,cptcoveff);
                   6514:     if (cptcovn < 1){i1=1;}
                   6515: 
                   6516:     for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   6517:     /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
                   6518:       //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
                   6519:        k=k+1;
                   6520:        /* to clean */
1.198     brouard  6521:        //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
1.200     brouard  6522:        fprintf(ficrespl,"#******");
                   6523:        printf("#******");
                   6524:        fprintf(ficlog,"#******");
1.180     brouard  6525:        for(j=1;j<=cptcoveff;j++) {
1.198     brouard  6526:          fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   6527:          printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   6528:          fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.180     brouard  6529:        }
                   6530:        fprintf(ficrespl,"******\n");
                   6531:        printf("******\n");
                   6532:        fprintf(ficlog,"******\n");
                   6533: 
                   6534:        fprintf(ficrespl,"#Age ");
                   6535:        for(j=1;j<=cptcoveff;j++) {
1.200     brouard  6536:          fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.180     brouard  6537:        }
1.203     brouard  6538:        for(i=1; i<=nlstate;i++) fprintf(ficrespl,"  %d-%d   ",i,i);
                   6539:        fprintf(ficrespl,"Total Years_to_converge\n");
1.180     brouard  6540:        
                   6541:        for (age=agebase; age<=agelim; age++){
                   6542:        /* for (age=agebase; age<=agebase; age++){ */
1.203     brouard  6543:          prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyear, k);
1.180     brouard  6544:          fprintf(ficrespl,"%.0f ",age );
                   6545:          for(j=1;j<=cptcoveff;j++)
1.198     brouard  6546:            fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.203     brouard  6547:          tot=0.;
                   6548:          for(i=1; i<=nlstate;i++){
                   6549:            tot +=  prlim[i][i];
1.180     brouard  6550:            fprintf(ficrespl," %.5f", prlim[i][i]);
1.203     brouard  6551:          }
                   6552:          fprintf(ficrespl," %.3f %d\n", tot, *ncvyear);
1.180     brouard  6553:        } /* Age */
                   6554:        /* was end of cptcod */
                   6555:     } /* cptcov */
1.184     brouard  6556:        return 0;
1.180     brouard  6557: }
                   6558: 
                   6559: int hPijx(double *p, int bage, int fage){
                   6560:     /*------------- h Pij x at various ages ------------*/
                   6561: 
                   6562:   int stepsize;
                   6563:   int agelim;
                   6564:   int hstepm;
                   6565:   int nhstepm;
                   6566:   int h, i, i1, j, k;
                   6567: 
                   6568:   double agedeb;
                   6569:   double ***p3mat;
                   6570: 
1.201     brouard  6571:     strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
1.180     brouard  6572:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   6573:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   6574:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   6575:     }
                   6576:     printf("Computing pij: result on file '%s' \n", filerespij);
                   6577:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   6578:   
                   6579:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   6580:     /*if (stepm<=24) stepsize=2;*/
                   6581: 
                   6582:     agelim=AGESUP;
                   6583:     hstepm=stepsize*YEARM; /* Every year of age */
                   6584:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
                   6585: 
                   6586:     /* hstepm=1;   aff par mois*/
                   6587:     pstamp(ficrespij);
                   6588:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
                   6589:     i1= pow(2,cptcoveff);
1.183     brouard  6590:    /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   6591:    /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   6592:    /*          k=k+1;  */
                   6593:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   6594:       fprintf(ficrespij,"\n#****** ");
                   6595:       for(j=1;j<=cptcoveff;j++) 
1.198     brouard  6596:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.183     brouard  6597:       fprintf(ficrespij,"******\n");
                   6598:       
                   6599:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   6600:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6601:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6602:        
                   6603:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  6604:        
1.183     brouard  6605:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6606:        oldm=oldms;savm=savms;
                   6607:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   6608:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   6609:        for(i=1; i<=nlstate;i++)
                   6610:          for(j=1; j<=nlstate+ndeath;j++)
                   6611:            fprintf(ficrespij," %1d-%1d",i,j);
                   6612:        fprintf(ficrespij,"\n");
                   6613:        for (h=0; h<=nhstepm; h++){
                   6614:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   6615:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  6616:          for(i=1; i<=nlstate;i++)
                   6617:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  6618:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  6619:          fprintf(ficrespij,"\n");
                   6620:        }
1.183     brouard  6621:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6622:        fprintf(ficrespij,"\n");
                   6623:       }
1.180     brouard  6624:       /*}*/
                   6625:     }
1.184     brouard  6626:        return 0;
1.180     brouard  6627: }
                   6628: 
                   6629: 
1.136     brouard  6630: /***********************************************/
                   6631: /**************** Main Program *****************/
                   6632: /***********************************************/
                   6633: 
                   6634: int main(int argc, char *argv[])
                   6635: {
                   6636: #ifdef GSL
                   6637:   const gsl_multimin_fminimizer_type *T;
                   6638:   size_t iteri = 0, it;
                   6639:   int rval = GSL_CONTINUE;
                   6640:   int status = GSL_SUCCESS;
                   6641:   double ssval;
                   6642: #endif
                   6643:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.164     brouard  6644:   int i,j, k, n=MAXN,iter=0,m,size=100, cptcod;
1.203     brouard  6645:   int ncvyearnp=0;
                   6646:   int *ncvyear=&ncvyearnp; /* Number of years needed for the period prevalence to converge */
1.164     brouard  6647:   int jj, ll, li, lj, lk;
1.136     brouard  6648:   int numlinepar=0; /* Current linenumber of parameter file */
1.197     brouard  6649:   int num_filled;
1.136     brouard  6650:   int itimes;
                   6651:   int NDIM=2;
                   6652:   int vpopbased=0;
                   6653: 
1.164     brouard  6654:   char ca[32], cb[32];
1.136     brouard  6655:   /*  FILE *fichtm; *//* Html File */
                   6656:   /* FILE *ficgp;*/ /*Gnuplot File */
                   6657:   struct stat info;
1.191     brouard  6658:   double agedeb=0.;
1.194     brouard  6659: 
                   6660:   double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
1.136     brouard  6661: 
1.165     brouard  6662:   double fret;
1.191     brouard  6663:   double dum=0.; /* Dummy variable */
1.136     brouard  6664:   double ***p3mat;
                   6665:   double ***mobaverage;
1.164     brouard  6666: 
                   6667:   char line[MAXLINE];
1.197     brouard  6668:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
                   6669: 
                   6670:   char model[MAXLINE], modeltemp[MAXLINE];
1.136     brouard  6671:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  6672:   char *tok, *val; /* pathtot */
1.136     brouard  6673:   int firstobs=1, lastobs=10;
1.195     brouard  6674:   int c,  h , cpt, c2;
1.191     brouard  6675:   int jl=0;
                   6676:   int i1, j1, jk, stepsize=0;
1.194     brouard  6677:   int count=0;
                   6678: 
1.164     brouard  6679:   int *tab; 
1.136     brouard  6680:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
                   6681:   int mobilav=0,popforecast=0;
1.191     brouard  6682:   int hstepm=0, nhstepm=0;
1.136     brouard  6683:   int agemortsup;
                   6684:   float  sumlpop=0.;
                   6685:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   6686:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   6687: 
1.191     brouard  6688:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  6689:   double ftolpl=FTOL;
                   6690:   double **prlim;
                   6691:   double ***param; /* Matrix of parameters */
                   6692:   double  *p;
                   6693:   double **matcov; /* Matrix of covariance */
1.203     brouard  6694:   double **hess; /* Hessian matrix */
1.136     brouard  6695:   double ***delti3; /* Scale */
                   6696:   double *delti; /* Scale */
                   6697:   double ***eij, ***vareij;
                   6698:   double **varpl; /* Variances of prevalence limits by age */
                   6699:   double *epj, vepp;
1.164     brouard  6700: 
1.136     brouard  6701:   double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
                   6702:   double **ximort;
1.145     brouard  6703:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  6704:   int *dcwave;
                   6705: 
1.164     brouard  6706:   char z[1]="c";
1.136     brouard  6707: 
                   6708:   /*char  *strt;*/
                   6709:   char strtend[80];
1.126     brouard  6710: 
1.164     brouard  6711: 
1.126     brouard  6712: /*   setlocale (LC_ALL, ""); */
                   6713: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   6714: /*   textdomain (PACKAGE); */
                   6715: /*   setlocale (LC_CTYPE, ""); */
                   6716: /*   setlocale (LC_MESSAGES, ""); */
                   6717: 
                   6718:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  6719:   rstart_time = time(NULL);  
                   6720:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   6721:   start_time = *localtime(&rstart_time);
1.126     brouard  6722:   curr_time=start_time;
1.157     brouard  6723:   /*tml = *localtime(&start_time.tm_sec);*/
                   6724:   /* strcpy(strstart,asctime(&tml)); */
                   6725:   strcpy(strstart,asctime(&start_time));
1.126     brouard  6726: 
                   6727: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  6728: /*  tp.tm_sec = tp.tm_sec +86400; */
                   6729: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  6730: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   6731: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   6732: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  6733: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  6734: /*   strt=asctime(&tmg); */
                   6735: /*   printf("Time(after) =%s",strstart);  */
                   6736: /*  (void) time (&time_value);
                   6737: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   6738: *  tm = *localtime(&time_value);
                   6739: *  strstart=asctime(&tm);
                   6740: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   6741: */
                   6742: 
                   6743:   nberr=0; /* Number of errors and warnings */
                   6744:   nbwarn=0;
1.184     brouard  6745: #ifdef WIN32
                   6746:   _getcwd(pathcd, size);
                   6747: #else
1.126     brouard  6748:   getcwd(pathcd, size);
1.184     brouard  6749: #endif
1.191     brouard  6750:   syscompilerinfo(0);
1.196     brouard  6751:   printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
1.126     brouard  6752:   if(argc <=1){
                   6753:     printf("\nEnter the parameter file name: ");
1.205   ! brouard  6754:     if(!fgets(pathr,FILENAMELENGTH,stdin)){
        !          6755:       printf("ERROR Empty parameter file name\n");
        !          6756:       goto end;
        !          6757:     }
1.126     brouard  6758:     i=strlen(pathr);
                   6759:     if(pathr[i-1]=='\n')
                   6760:       pathr[i-1]='\0';
1.156     brouard  6761:     i=strlen(pathr);
1.205   ! brouard  6762:     if(i >= 1 && pathr[i-1]==' ') {/* This may happen when dragging on oS/X! */
1.156     brouard  6763:       pathr[i-1]='\0';
1.205   ! brouard  6764:     }
        !          6765:     i=strlen(pathr);
        !          6766:     if( i==0 ){
        !          6767:       printf("ERROR Empty parameter file name\n");
        !          6768:       goto end;
        !          6769:     }
        !          6770:     for (tok = pathr; tok != NULL; ){
1.126     brouard  6771:       printf("Pathr |%s|\n",pathr);
                   6772:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   6773:       printf("val= |%s| pathr=%s\n",val,pathr);
                   6774:       strcpy (pathtot, val);
                   6775:       if(pathr[0] == '\0') break; /* Dirty */
                   6776:     }
                   6777:   }
                   6778:   else{
                   6779:     strcpy(pathtot,argv[1]);
                   6780:   }
                   6781:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   6782:   /*cygwin_split_path(pathtot,path,optionfile);
                   6783:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   6784:   /* cutv(path,optionfile,pathtot,'\\');*/
                   6785: 
                   6786:   /* Split argv[0], imach program to get pathimach */
                   6787:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   6788:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   6789:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   6790:  /*   strcpy(pathimach,argv[0]); */
                   6791:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   6792:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   6793:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  6794: #ifdef WIN32
                   6795:   _chdir(path); /* Can be a relative path */
                   6796:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   6797: #else
1.126     brouard  6798:   chdir(path); /* Can be a relative path */
1.184     brouard  6799:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   6800: #endif
                   6801:   printf("Current directory %s!\n",pathcd);
1.126     brouard  6802:   strcpy(command,"mkdir ");
                   6803:   strcat(command,optionfilefiname);
                   6804:   if((outcmd=system(command)) != 0){
1.169     brouard  6805:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  6806:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   6807:     /* fclose(ficlog); */
                   6808: /*     exit(1); */
                   6809:   }
                   6810: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   6811: /*     perror("mkdir"); */
                   6812: /*   } */
                   6813: 
                   6814:   /*-------- arguments in the command line --------*/
                   6815: 
1.186     brouard  6816:   /* Main Log file */
1.126     brouard  6817:   strcat(filelog, optionfilefiname);
                   6818:   strcat(filelog,".log");    /* */
                   6819:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   6820:     printf("Problem with logfile %s\n",filelog);
                   6821:     goto end;
                   6822:   }
                   6823:   fprintf(ficlog,"Log filename:%s\n",filelog);
1.197     brouard  6824:   fprintf(ficlog,"Version %s %s",version,fullversion);
1.126     brouard  6825:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   6826:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   6827:  path=%s \n\
                   6828:  optionfile=%s\n\
                   6829:  optionfilext=%s\n\
1.156     brouard  6830:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  6831: 
1.197     brouard  6832:   syscompilerinfo(1);
1.167     brouard  6833: 
1.126     brouard  6834:   printf("Local time (at start):%s",strstart);
                   6835:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   6836:   fflush(ficlog);
                   6837: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  6838: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  6839: 
                   6840:   /* */
                   6841:   strcpy(fileres,"r");
                   6842:   strcat(fileres, optionfilefiname);
1.201     brouard  6843:   strcat(fileresu, optionfilefiname); /* Without r in front */
1.126     brouard  6844:   strcat(fileres,".txt");    /* Other files have txt extension */
1.201     brouard  6845:   strcat(fileresu,".txt");    /* Other files have txt extension */
1.126     brouard  6846: 
1.186     brouard  6847:   /* Main ---------arguments file --------*/
1.126     brouard  6848: 
                   6849:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  6850:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   6851:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  6852:     fflush(ficlog);
1.149     brouard  6853:     /* goto end; */
                   6854:     exit(70); 
1.126     brouard  6855:   }
                   6856: 
                   6857: 
                   6858: 
                   6859:   strcpy(filereso,"o");
1.201     brouard  6860:   strcat(filereso,fileresu);
1.126     brouard  6861:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   6862:     printf("Problem with Output resultfile: %s\n", filereso);
                   6863:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   6864:     fflush(ficlog);
                   6865:     goto end;
                   6866:   }
                   6867: 
                   6868:   /* Reads comments: lines beginning with '#' */
                   6869:   numlinepar=0;
1.197     brouard  6870: 
                   6871:     /* First parameter line */
                   6872:   while(fgets(line, MAXLINE, ficpar)) {
                   6873:     /* If line starts with a # it is a comment */
                   6874:     if (line[0] == '#') {
                   6875:       numlinepar++;
                   6876:       fputs(line,stdout);
                   6877:       fputs(line,ficparo);
                   6878:       fputs(line,ficlog);
                   6879:       continue;
                   6880:     }else
                   6881:       break;
                   6882:   }
                   6883:   if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                   6884:                        title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
                   6885:     if (num_filled != 5) {
                   6886:       printf("Should be 5 parameters\n");
                   6887:     }
1.126     brouard  6888:     numlinepar++;
1.197     brouard  6889:     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   6890:   }
                   6891:   /* Second parameter line */
                   6892:   while(fgets(line, MAXLINE, ficpar)) {
                   6893:     /* If line starts with a # it is a comment */
                   6894:     if (line[0] == '#') {
                   6895:       numlinepar++;
                   6896:       fputs(line,stdout);
                   6897:       fputs(line,ficparo);
                   6898:       fputs(line,ficlog);
                   6899:       continue;
                   6900:     }else
                   6901:       break;
                   6902:   }
                   6903:   if((num_filled=sscanf(line,"ftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n", \
                   6904:                        &ftol, &stepm, &ncovcol, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
                   6905:     if (num_filled != 8) {
                   6906:       printf("Not 8\n");
                   6907:     }
                   6908:     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  6909:   }
1.203     brouard  6910:   /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
                   6911:   ftolpl=6.e-3; /* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
1.197     brouard  6912:   /* Third parameter line */
                   6913:   while(fgets(line, MAXLINE, ficpar)) {
                   6914:     /* If line starts with a # it is a comment */
                   6915:     if (line[0] == '#') {
                   6916:       numlinepar++;
                   6917:       fputs(line,stdout);
                   6918:       fputs(line,ficparo);
                   6919:       fputs(line,ficlog);
                   6920:       continue;
                   6921:     }else
                   6922:       break;
                   6923:   }
1.201     brouard  6924:   if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){
                   6925:     if (num_filled == 0)
                   6926:             model[0]='\0';
                   6927:     else if (num_filled != 1){
1.197     brouard  6928:       printf("ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   6929:       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   6930:       model[0]='\0';
                   6931:       goto end;
                   6932:     }
                   6933:     else{
                   6934:       if (model[0]=='+'){
                   6935:        for(i=1; i<=strlen(model);i++)
                   6936:          modeltemp[i-1]=model[i];
1.201     brouard  6937:        strcpy(model,modeltemp); 
1.197     brouard  6938:       }
                   6939:     }
1.199     brouard  6940:     /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
1.203     brouard  6941:     printf("model=1+age+%s\n",model);fflush(stdout);
1.197     brouard  6942:   }
                   6943:   /* 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); */
                   6944:   /* numlinepar=numlinepar+3; /\* In general *\/ */
                   6945:   /* 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  6946:   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);
                   6947:   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  6948:   fflush(ficlog);
1.190     brouard  6949:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   6950:   if(model[0]=='#'){
1.187     brouard  6951:     printf("Error in 'model' line: model should start with 'model=1+age+' and end with '.' \n \
                   6952:  'model=1+age+.' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age.' or \n \
                   6953:  'model=1+age+V1+V2.' or 'model=1+age+V1+V2+V1*V2.' etc. \n");         \
                   6954:     if(mle != -1){
                   6955:       printf("Fix the model line and run imach with mle=-1 to get a correct template of the parameter file.\n");
                   6956:       exit(1);
                   6957:     }
                   6958:   }
1.126     brouard  6959:   while((c=getc(ficpar))=='#' && c!= EOF){
                   6960:     ungetc(c,ficpar);
                   6961:     fgets(line, MAXLINE, ficpar);
                   6962:     numlinepar++;
1.195     brouard  6963:     if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
                   6964:       z[0]=line[1];
                   6965:     }
                   6966:     /* printf("****line [1] = %c \n",line[1]); */
1.141     brouard  6967:     fputs(line, stdout);
                   6968:     //puts(line);
1.126     brouard  6969:     fputs(line,ficparo);
                   6970:     fputs(line,ficlog);
                   6971:   }
                   6972:   ungetc(c,ficpar);
                   6973: 
                   6974:    
1.145     brouard  6975:   covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
1.136     brouard  6976:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   6977:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   6978:      v1+v2*age+v2*v3 makes cptcovn = 3
                   6979:   */
                   6980:   if (strlen(model)>1) 
1.187     brouard  6981:     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  6982:   else
1.187     brouard  6983:     ncovmodel=2; /* Constant and age */
1.133     brouard  6984:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   6985:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  6986:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   6987:     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);
                   6988:     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);
                   6989:     fflush(stdout);
                   6990:     fclose (ficlog);
                   6991:     goto end;
                   6992:   }
1.126     brouard  6993:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   6994:   delti=delti3[1][1];
                   6995:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   6996:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
                   6997:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191     brouard  6998:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
                   6999:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  7000:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   7001:     fclose (ficparo);
                   7002:     fclose (ficlog);
                   7003:     goto end;
                   7004:     exit(0);
                   7005:   }
1.186     brouard  7006:   else if(mle==-3) { /* Main Wizard */
1.126     brouard  7007:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.192     brouard  7008:     printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   7009:     fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  7010:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   7011:     matcov=matrix(1,npar,1,npar);
1.203     brouard  7012:     hess=matrix(1,npar,1,npar);
1.126     brouard  7013:   }
                   7014:   else{
1.145     brouard  7015:     /* Read guessed parameters */
1.126     brouard  7016:     /* Reads comments: lines beginning with '#' */
                   7017:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7018:       ungetc(c,ficpar);
                   7019:       fgets(line, MAXLINE, ficpar);
                   7020:       numlinepar++;
1.141     brouard  7021:       fputs(line,stdout);
1.126     brouard  7022:       fputs(line,ficparo);
                   7023:       fputs(line,ficlog);
                   7024:     }
                   7025:     ungetc(c,ficpar);
                   7026:     
                   7027:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   7028:     for(i=1; i <=nlstate; i++){
                   7029:       j=0;
                   7030:       for(jj=1; jj <=nlstate+ndeath; jj++){
                   7031:        if(jj==i) continue;
                   7032:        j++;
                   7033:        fscanf(ficpar,"%1d%1d",&i1,&j1);
1.193     brouard  7034:        if ((i1 != i) || (j1 != jj)){
1.126     brouard  7035:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
                   7036: It might be a problem of design; if ncovcol and the model are correct\n \
                   7037: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
                   7038:          exit(1);
                   7039:        }
                   7040:        fprintf(ficparo,"%1d%1d",i1,j1);
                   7041:        if(mle==1)
1.193     brouard  7042:          printf("%1d%1d",i,jj);
                   7043:        fprintf(ficlog,"%1d%1d",i,jj);
1.126     brouard  7044:        for(k=1; k<=ncovmodel;k++){
                   7045:          fscanf(ficpar," %lf",&param[i][j][k]);
                   7046:          if(mle==1){
                   7047:            printf(" %lf",param[i][j][k]);
                   7048:            fprintf(ficlog," %lf",param[i][j][k]);
                   7049:          }
                   7050:          else
                   7051:            fprintf(ficlog," %lf",param[i][j][k]);
                   7052:          fprintf(ficparo," %lf",param[i][j][k]);
                   7053:        }
                   7054:        fscanf(ficpar,"\n");
                   7055:        numlinepar++;
                   7056:        if(mle==1)
                   7057:          printf("\n");
                   7058:        fprintf(ficlog,"\n");
                   7059:        fprintf(ficparo,"\n");
                   7060:       }
                   7061:     }  
                   7062:     fflush(ficlog);
                   7063: 
1.145     brouard  7064:     /* Reads scales values */
1.126     brouard  7065:     p=param[1][1];
                   7066:     
                   7067:     /* Reads comments: lines beginning with '#' */
                   7068:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7069:       ungetc(c,ficpar);
                   7070:       fgets(line, MAXLINE, ficpar);
                   7071:       numlinepar++;
1.141     brouard  7072:       fputs(line,stdout);
1.126     brouard  7073:       fputs(line,ficparo);
                   7074:       fputs(line,ficlog);
                   7075:     }
                   7076:     ungetc(c,ficpar);
                   7077: 
                   7078:     for(i=1; i <=nlstate; i++){
                   7079:       for(j=1; j <=nlstate+ndeath-1; j++){
                   7080:        fscanf(ficpar,"%1d%1d",&i1,&j1);
1.164     brouard  7081:        if ( (i1-i) * (j1-j) != 0){
1.126     brouard  7082:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   7083:          exit(1);
                   7084:        }
                   7085:        printf("%1d%1d",i,j);
                   7086:        fprintf(ficparo,"%1d%1d",i1,j1);
                   7087:        fprintf(ficlog,"%1d%1d",i1,j1);
                   7088:        for(k=1; k<=ncovmodel;k++){
                   7089:          fscanf(ficpar,"%le",&delti3[i][j][k]);
                   7090:          printf(" %le",delti3[i][j][k]);
                   7091:          fprintf(ficparo," %le",delti3[i][j][k]);
                   7092:          fprintf(ficlog," %le",delti3[i][j][k]);
                   7093:        }
                   7094:        fscanf(ficpar,"\n");
                   7095:        numlinepar++;
                   7096:        printf("\n");
                   7097:        fprintf(ficparo,"\n");
                   7098:        fprintf(ficlog,"\n");
                   7099:       }
                   7100:     }
                   7101:     fflush(ficlog);
                   7102: 
1.145     brouard  7103:     /* Reads covariance matrix */
1.126     brouard  7104:     delti=delti3[1][1];
                   7105: 
                   7106: 
                   7107:     /* free_ma3x(delti3,1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */ /* Hasn't to to freed here otherwise delti is no more allocated */
                   7108:   
                   7109:     /* Reads comments: lines beginning with '#' */
                   7110:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7111:       ungetc(c,ficpar);
                   7112:       fgets(line, MAXLINE, ficpar);
                   7113:       numlinepar++;
1.141     brouard  7114:       fputs(line,stdout);
1.126     brouard  7115:       fputs(line,ficparo);
                   7116:       fputs(line,ficlog);
                   7117:     }
                   7118:     ungetc(c,ficpar);
                   7119:   
                   7120:     matcov=matrix(1,npar,1,npar);
1.203     brouard  7121:     hess=matrix(1,npar,1,npar);
1.131     brouard  7122:     for(i=1; i <=npar; i++)
                   7123:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
                   7124:       
1.194     brouard  7125:     /* Scans npar lines */
1.126     brouard  7126:     for(i=1; i <=npar; i++){
1.194     brouard  7127:       count=fscanf(ficpar,"%1d%1d%1d",&i1,&j1,&jk);
                   7128:       if(count != 3){
                   7129:        printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
                   7130: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   7131: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
                   7132:        fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
                   7133: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   7134: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
                   7135:        exit(1);
                   7136:       }else
1.126     brouard  7137:       if(mle==1)
1.194     brouard  7138:        printf("%1d%1d%1d",i1,j1,jk);
                   7139:       fprintf(ficlog,"%1d%1d%1d",i1,j1,jk);
                   7140:       fprintf(ficparo,"%1d%1d%1d",i1,j1,jk);
1.126     brouard  7141:       for(j=1; j <=i; j++){
                   7142:        fscanf(ficpar," %le",&matcov[i][j]);
                   7143:        if(mle==1){
                   7144:          printf(" %.5le",matcov[i][j]);
                   7145:        }
                   7146:        fprintf(ficlog," %.5le",matcov[i][j]);
                   7147:        fprintf(ficparo," %.5le",matcov[i][j]);
                   7148:       }
                   7149:       fscanf(ficpar,"\n");
                   7150:       numlinepar++;
                   7151:       if(mle==1)
                   7152:        printf("\n");
                   7153:       fprintf(ficlog,"\n");
                   7154:       fprintf(ficparo,"\n");
                   7155:     }
1.194     brouard  7156:     /* End of read covariance matrix npar lines */
1.126     brouard  7157:     for(i=1; i <=npar; i++)
                   7158:       for(j=i+1;j<=npar;j++)
                   7159:        matcov[i][j]=matcov[j][i];
                   7160:     
                   7161:     if(mle==1)
                   7162:       printf("\n");
                   7163:     fprintf(ficlog,"\n");
                   7164:     
                   7165:     fflush(ficlog);
                   7166:     
                   7167:     /*-------- Rewriting parameter file ----------*/
                   7168:     strcpy(rfileres,"r");    /* "Rparameterfile */
                   7169:     strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
                   7170:     strcat(rfileres,".");    /* */
                   7171:     strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   7172:     if((ficres =fopen(rfileres,"w"))==NULL) {
1.201     brouard  7173:       printf("Problem writing new parameter file: %s\n", rfileres);goto end;
                   7174:       fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
1.126     brouard  7175:     }
                   7176:     fprintf(ficres,"#%s\n",version);
                   7177:   }    /* End of mle != -3 */
                   7178: 
1.186     brouard  7179:   /*  Main data
                   7180:    */
1.126     brouard  7181:   n= lastobs;
                   7182:   num=lvector(1,n);
                   7183:   moisnais=vector(1,n);
                   7184:   annais=vector(1,n);
                   7185:   moisdc=vector(1,n);
                   7186:   andc=vector(1,n);
                   7187:   agedc=vector(1,n);
                   7188:   cod=ivector(1,n);
                   7189:   weight=vector(1,n);
                   7190:   for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */
                   7191:   mint=matrix(1,maxwav,1,n);
                   7192:   anint=matrix(1,maxwav,1,n);
1.131     brouard  7193:   s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  7194:   tab=ivector(1,NCOVMAX);
1.144     brouard  7195:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.192     brouard  7196:   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  7197: 
1.136     brouard  7198:   /* Reads data from file datafile */
                   7199:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   7200:     goto end;
                   7201: 
                   7202:   /* Calculation of the number of parameters from char model */
1.137     brouard  7203:     /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
                   7204:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   7205:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   7206:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   7207:        k=1 Tvar[1]=2 (from V2)
                   7208:     */
                   7209:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
                   7210:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   7211:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   7212:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   7213:   */
                   7214:   /* For model-covariate k tells which data-covariate to use but
                   7215:     because this model-covariate is a construction we invent a new column
                   7216:     ncovcol + k1
                   7217:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   7218:     Tvar[3=V1*V4]=4+1 etc */
1.145     brouard  7219:   Tprod=ivector(1,NCOVMAX); /* Gives the position of a product */
1.137     brouard  7220:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   7221:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
                   7222:   */
1.145     brouard  7223:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   7224:   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  7225:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   7226:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  7227:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  7228:                         4 covariates (3 plus signs)
                   7229:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   7230:                      */  
1.136     brouard  7231: 
1.186     brouard  7232: /* Main decodemodel */
                   7233: 
1.187     brouard  7234: 
1.136     brouard  7235:   if(decodemodel(model, lastobs) == 1)
                   7236:     goto end;
                   7237: 
1.137     brouard  7238:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   7239:     nbwarn++;
                   7240:     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); 
                   7241:     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); 
                   7242:   }
1.136     brouard  7243:     /*  if(mle==1){*/
1.137     brouard  7244:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   7245:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  7246:   }
                   7247: 
                   7248:     /*-calculation of age at interview from date of interview and age at death -*/
                   7249:   agev=matrix(1,maxwav,1,imx);
                   7250: 
                   7251:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   7252:     goto end;
                   7253: 
1.126     brouard  7254: 
1.136     brouard  7255:   agegomp=(int)agemin;
                   7256:   free_vector(moisnais,1,n);
                   7257:   free_vector(annais,1,n);
1.126     brouard  7258:   /* free_matrix(mint,1,maxwav,1,n);
                   7259:      free_matrix(anint,1,maxwav,1,n);*/
                   7260:   free_vector(moisdc,1,n);
                   7261:   free_vector(andc,1,n);
1.145     brouard  7262:   /* */
                   7263:   
1.126     brouard  7264:   wav=ivector(1,imx);
                   7265:   dh=imatrix(1,lastpass-firstpass+1,1,imx);
                   7266:   bh=imatrix(1,lastpass-firstpass+1,1,imx);
                   7267:   mw=imatrix(1,lastpass-firstpass+1,1,imx);
                   7268:    
                   7269:   /* Concatenates waves */
                   7270:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.145     brouard  7271:   /* */
                   7272:  
1.126     brouard  7273:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   7274: 
                   7275:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   7276:   ncodemax[1]=1;
1.145     brouard  7277:   Ndum =ivector(-1,NCOVMAX);  
1.187     brouard  7278:   if (ncovmodel-nagesqr > 2 ) /* That is if covariate other than cst, age and age*age */
1.145     brouard  7279:     tricode(Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
1.186     brouard  7280:   /* Nbcode gives the value of the lth modality of jth covariate, in
                   7281:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
                   7282:   /* 1 to ncodemax[j] is the maximum value of this jth covariate */
1.145     brouard  7283: 
1.200     brouard  7284:   /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
1.198     brouard  7285:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
1.186     brouard  7286:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.145     brouard  7287:   h=0;
                   7288: 
                   7289: 
                   7290:   /*if (cptcovn > 0) */
1.126     brouard  7291:       
1.145     brouard  7292:  
1.126     brouard  7293:   m=pow(2,cptcoveff);
                   7294:  
1.144     brouard  7295:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.186     brouard  7296:           * For k=4 covariates, h goes from 1 to 2**k
                   7297:           * codtabm(h,k)=  1 & (h-1) >> (k-1) ;
                   7298:           *     h\k   1     2     3     4
1.143     brouard  7299:           *______________________________  
                   7300:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   7301:           *     2     2     1     1     1
                   7302:           *     3 i=2 1     2     1     1
                   7303:           *     4     2     2     1     1
                   7304:           *     5 i=3 1 i=2 1     2     1
                   7305:           *     6     2     1     2     1
                   7306:           *     7 i=4 1     2     2     1
                   7307:           *     8     2     2     2     1
1.197     brouard  7308:           *     9 i=5 1 i=3 1 i=2 1     2
                   7309:           *    10     2     1     1     2
                   7310:           *    11 i=6 1     2     1     2
                   7311:           *    12     2     2     1     2
                   7312:           *    13 i=7 1 i=4 1     2     2    
                   7313:           *    14     2     1     2     2
                   7314:           *    15 i=8 1     2     2     2
                   7315:           *    16     2     2     2     2
1.143     brouard  7316:           */
1.202     brouard  7317:   /* /\* for(h=1; h <=100 ;h++){  *\/ */
                   7318:   /*   /\* printf("h=%2d ", h); *\/ */
                   7319:   /*    /\* for(k=1; k <=10; k++){ *\/ */
                   7320:   /*      /\* printf("k=%d %d ",k,codtabm(h,k)); *\/ */
                   7321:   /*    /\*   codtab[h][k]=codtabm(h,k); *\/ */
                   7322:   /*    /\* } *\/ */
                   7323:   /*    /\* printf("\n"); *\/ */
                   7324:   /* } */
1.197     brouard  7325:   /* for(k=1;k<=cptcoveff; k++){ /\* scans any effective covariate *\/ */
                   7326:   /*   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 *\/  */
                   7327:   /*     for(j=1; j <= ncodemax[k]; j++){ /\* For each modality of this covariate ncodemax=2*\/ */
                   7328:   /*   for(cpt=1; cpt <=pow(2,k-1); cpt++){  /\* cpt=1 to 8/2**(3+1-1 or 3+1-3) =1 or 4 *\/  */
                   7329:   /*     h++; */
                   7330:   /*     if (h>m)  */
                   7331:   /*       h=1; */
                   7332:   /*     codtab[h][k]=j; */
                   7333:   /*     /\* codtab[12][3]=1; *\/ */
                   7334:   /*     /\*codtab[h][Tvar[k]]=j;*\/ */
                   7335:   /*     /\* 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]]); *\/ */
                   7336:   /*   }  */
                   7337:   /*     } */
                   7338:   /*   } */
                   7339:   /* }  */
1.126     brouard  7340:   /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]); 
                   7341:      codtab[1][2]=1;codtab[2][2]=2; */
1.197     brouard  7342:   /* for(i=1; i <=m ;i++){  */
                   7343:   /*    for(k=1; k <=cptcovn; k++){ */
                   7344:   /*      printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff); */
                   7345:   /*    } */
                   7346:   /*    printf("\n"); */
                   7347:   /* } */
                   7348:   /*   scanf("%d",i);*/
1.145     brouard  7349: 
                   7350:  free_ivector(Ndum,-1,NCOVMAX);
                   7351: 
                   7352: 
1.126     brouard  7353:     
1.186     brouard  7354:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  7355:   strcpy(optionfilegnuplot,optionfilefiname);
                   7356:   if(mle==-3)
1.201     brouard  7357:     strcat(optionfilegnuplot,"-MORT_");
1.126     brouard  7358:   strcat(optionfilegnuplot,".gp");
                   7359: 
                   7360:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   7361:     printf("Problem with file %s",optionfilegnuplot);
                   7362:   }
                   7363:   else{
1.204     brouard  7364:     fprintf(ficgp,"\n# IMaCh-%s\n", version); 
1.126     brouard  7365:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  7366:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   7367:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  7368:   }
                   7369:   /*  fclose(ficgp);*/
1.186     brouard  7370: 
                   7371: 
                   7372:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  7373: 
                   7374:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   7375:   if(mle==-3)
1.201     brouard  7376:     strcat(optionfilehtm,"-MORT_");
1.126     brouard  7377:   strcat(optionfilehtm,".htm");
                   7378:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  7379:     printf("Problem with %s \n",optionfilehtm);
                   7380:     exit(0);
1.126     brouard  7381:   }
                   7382: 
                   7383:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   7384:   strcat(optionfilehtmcov,"-cov.htm");
                   7385:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   7386:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   7387:   }
                   7388:   else{
                   7389:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   7390: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  7391: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.126     brouard  7392:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   7393:   }
                   7394: 
1.204     brouard  7395:   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>  \
                   7396: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   7397: <font size=\"2\">IMaCh-%s <br> %s</font> \
1.126     brouard  7398: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  7399: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n\
1.126     brouard  7400: \n\
                   7401: <hr  size=\"2\" color=\"#EC5E5E\">\
                   7402:  <ul><li><h4>Parameter files</h4>\n\
                   7403:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   7404:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   7405:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   7406:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   7407:  - Date and time at start: %s</ul>\n",\
                   7408:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   7409:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   7410:          fileres,fileres,\
                   7411:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   7412:   fflush(fichtm);
                   7413: 
                   7414:   strcpy(pathr,path);
                   7415:   strcat(pathr,optionfilefiname);
1.184     brouard  7416: #ifdef WIN32
                   7417:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   7418: #else
1.126     brouard  7419:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  7420: #endif
                   7421:          
1.126     brouard  7422:   
                   7423:   /* Calculates basic frequencies. Computes observed prevalence at single age
                   7424:      and prints on file fileres'p'. */
                   7425:   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart);
                   7426: 
                   7427:   fprintf(fichtm,"\n");
                   7428:   fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
                   7429: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   7430: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
                   7431:          imx,agemin,agemax,jmin,jmax,jmean);
                   7432:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7433:     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7434:     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7435:     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7436:     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
                   7437:     
                   7438:    
                   7439:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   7440:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   7441:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   7442: 
                   7443:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  7444:   /* For mortality only */
1.126     brouard  7445:   if (mle==-3){
1.136     brouard  7446:     ximort=matrix(1,NDIM,1,NDIM); 
1.186     brouard  7447:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.126     brouard  7448:     cens=ivector(1,n);
                   7449:     ageexmed=vector(1,n);
                   7450:     agecens=vector(1,n);
                   7451:     dcwave=ivector(1,n);
                   7452:  
                   7453:     for (i=1; i<=imx; i++){
                   7454:       dcwave[i]=-1;
                   7455:       for (m=firstpass; m<=lastpass; m++)
                   7456:        if (s[m][i]>nlstate) {
                   7457:          dcwave[i]=m;
                   7458:          /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
                   7459:          break;
                   7460:        }
                   7461:     }
                   7462: 
                   7463:     for (i=1; i<=imx; i++) {
                   7464:       if (wav[i]>0){
                   7465:        ageexmed[i]=agev[mw[1][i]][i];
                   7466:        j=wav[i];
                   7467:        agecens[i]=1.; 
                   7468: 
                   7469:        if (ageexmed[i]> 1 && wav[i] > 0){
                   7470:          agecens[i]=agev[mw[j][i]][i];
                   7471:          cens[i]= 1;
                   7472:        }else if (ageexmed[i]< 1) 
                   7473:          cens[i]= -1;
                   7474:        if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
                   7475:          cens[i]=0 ;
                   7476:       }
                   7477:       else cens[i]=-1;
                   7478:     }
                   7479:     
                   7480:     for (i=1;i<=NDIM;i++) {
                   7481:       for (j=1;j<=NDIM;j++)
                   7482:        ximort[i][j]=(i == j ? 1.0 : 0.0);
                   7483:     }
                   7484:     
1.145     brouard  7485:     /*p[1]=0.0268; p[NDIM]=0.083;*/
1.126     brouard  7486:     /*printf("%lf %lf", p[1], p[2]);*/
                   7487:     
                   7488:     
1.136     brouard  7489: #ifdef GSL
                   7490:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  7491: #else
1.126     brouard  7492:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  7493: #endif
1.201     brouard  7494:     strcpy(filerespow,"POW-MORT_"); 
                   7495:     strcat(filerespow,fileresu);
1.126     brouard  7496:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   7497:       printf("Problem with resultfile: %s\n", filerespow);
                   7498:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   7499:     }
1.136     brouard  7500: #ifdef GSL
                   7501:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  7502: #else
1.126     brouard  7503:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  7504: #endif
1.126     brouard  7505:     /*  for (i=1;i<=nlstate;i++)
                   7506:        for(j=1;j<=nlstate+ndeath;j++)
                   7507:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   7508:     */
                   7509:     fprintf(ficrespow,"\n");
1.136     brouard  7510: #ifdef GSL
                   7511:     /* gsl starts here */ 
                   7512:     T = gsl_multimin_fminimizer_nmsimplex;
                   7513:     gsl_multimin_fminimizer *sfm = NULL;
                   7514:     gsl_vector *ss, *x;
                   7515:     gsl_multimin_function minex_func;
                   7516: 
                   7517:     /* Initial vertex size vector */
                   7518:     ss = gsl_vector_alloc (NDIM);
                   7519:     
                   7520:     if (ss == NULL){
                   7521:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   7522:     }
                   7523:     /* Set all step sizes to 1 */
                   7524:     gsl_vector_set_all (ss, 0.001);
                   7525: 
                   7526:     /* Starting point */
1.126     brouard  7527:     
1.136     brouard  7528:     x = gsl_vector_alloc (NDIM);
                   7529:     
                   7530:     if (x == NULL){
                   7531:       gsl_vector_free(ss);
                   7532:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   7533:     }
                   7534:   
                   7535:     /* Initialize method and iterate */
                   7536:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  7537:     /*     gsl_vector_set(x, 0, 0.0268); */
                   7538:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  7539:     gsl_vector_set(x, 0, p[1]);
                   7540:     gsl_vector_set(x, 1, p[2]);
                   7541: 
                   7542:     minex_func.f = &gompertz_f;
                   7543:     minex_func.n = NDIM;
                   7544:     minex_func.params = (void *)&p; /* ??? */
                   7545:     
                   7546:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   7547:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   7548:     
                   7549:     printf("Iterations beginning .....\n\n");
                   7550:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   7551: 
                   7552:     iteri=0;
                   7553:     while (rval == GSL_CONTINUE){
                   7554:       iteri++;
                   7555:       status = gsl_multimin_fminimizer_iterate(sfm);
                   7556:       
                   7557:       if (status) printf("error: %s\n", gsl_strerror (status));
                   7558:       fflush(0);
                   7559:       
                   7560:       if (status) 
                   7561:         break;
                   7562:       
                   7563:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   7564:       ssval = gsl_multimin_fminimizer_size (sfm);
                   7565:       
                   7566:       if (rval == GSL_SUCCESS)
                   7567:         printf ("converged to a local maximum at\n");
                   7568:       
                   7569:       printf("%5d ", iteri);
                   7570:       for (it = 0; it < NDIM; it++){
                   7571:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   7572:       }
                   7573:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   7574:     }
                   7575:     
                   7576:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   7577:     
                   7578:     gsl_vector_free(x); /* initial values */
                   7579:     gsl_vector_free(ss); /* inital step size */
                   7580:     for (it=0; it<NDIM; it++){
                   7581:       p[it+1]=gsl_vector_get(sfm->x,it);
                   7582:       fprintf(ficrespow," %.12lf", p[it]);
                   7583:     }
                   7584:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   7585: #endif
                   7586: #ifdef POWELL
                   7587:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   7588: #endif  
1.126     brouard  7589:     fclose(ficrespow);
                   7590:     
1.203     brouard  7591:     hesscov(matcov, hess, p, NDIM, delti, 1e-4, gompertz); 
1.126     brouard  7592: 
                   7593:     for(i=1; i <=NDIM; i++)
                   7594:       for(j=i+1;j<=NDIM;j++)
                   7595:        matcov[i][j]=matcov[j][i];
                   7596:     
                   7597:     printf("\nCovariance matrix\n ");
1.203     brouard  7598:     fprintf(ficlog,"\nCovariance matrix\n ");
1.126     brouard  7599:     for(i=1; i <=NDIM; i++) {
                   7600:       for(j=1;j<=NDIM;j++){ 
                   7601:        printf("%f ",matcov[i][j]);
1.203     brouard  7602:        fprintf(ficlog,"%f ",matcov[i][j]);
1.126     brouard  7603:       }
1.203     brouard  7604:       printf("\n ");  fprintf(ficlog,"\n ");
1.126     brouard  7605:     }
                   7606:     
                   7607:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
1.193     brouard  7608:     for (i=1;i<=NDIM;i++) {
1.126     brouard  7609:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.193     brouard  7610:       fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   7611:     }
1.126     brouard  7612:     lsurv=vector(1,AGESUP);
                   7613:     lpop=vector(1,AGESUP);
                   7614:     tpop=vector(1,AGESUP);
                   7615:     lsurv[agegomp]=100000;
                   7616:     
                   7617:     for (k=agegomp;k<=AGESUP;k++) {
                   7618:       agemortsup=k;
                   7619:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   7620:     }
                   7621:     
                   7622:     for (k=agegomp;k<agemortsup;k++)
                   7623:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   7624:     
                   7625:     for (k=agegomp;k<agemortsup;k++){
                   7626:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   7627:       sumlpop=sumlpop+lpop[k];
                   7628:     }
                   7629:     
                   7630:     tpop[agegomp]=sumlpop;
                   7631:     for (k=agegomp;k<(agemortsup-3);k++){
                   7632:       /*  tpop[k+1]=2;*/
                   7633:       tpop[k+1]=tpop[k]-lpop[k];
                   7634:     }
                   7635:     
                   7636:     
                   7637:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   7638:     for (k=agegomp;k<(agemortsup-2);k++) 
                   7639:       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]);
                   7640:     
                   7641:     
                   7642:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  7643:     if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
                   7644:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   7645: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   7646: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   7647:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   7648: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   7649: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   7650:     }else
1.201     brouard  7651:       printinggnuplotmort(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
                   7652:     printinghtmlmort(fileresu,title,datafile, firstpass, lastpass, \
1.126     brouard  7653:                     stepm, weightopt,\
                   7654:                     model,imx,p,matcov,agemortsup);
                   7655:     
                   7656:     free_vector(lsurv,1,AGESUP);
                   7657:     free_vector(lpop,1,AGESUP);
                   7658:     free_vector(tpop,1,AGESUP);
1.136     brouard  7659: #ifdef GSL
                   7660:     free_ivector(cens,1,n);
                   7661:     free_vector(agecens,1,n);
                   7662:     free_ivector(dcwave,1,n);
                   7663:     free_matrix(ximort,1,NDIM,1,NDIM);
                   7664: #endif
1.186     brouard  7665:   } /* Endof if mle==-3 mortality only */
1.205   ! brouard  7666:   /* Standard  */
        !          7667:   else{ /* For mle !=- 3, could be 0 or 1 or 4 etc. */
        !          7668:     globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
        !          7669:     /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
1.132     brouard  7670:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  7671:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   7672:     for (k=1; k<=npar;k++)
                   7673:       printf(" %d %8.5f",k,p[k]);
                   7674:     printf("\n");
1.205   ! brouard  7675:     if(mle>=1){ /* Could be 1 or 2, Real Maximization */
        !          7676:       /* mlikeli uses func not funcone */
        !          7677:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
        !          7678:     }
        !          7679:     if(mle==0) {/* No optimization, will print the likelihoods for the datafile */
        !          7680:       globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
        !          7681:       /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
        !          7682:       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
        !          7683:     }
        !          7684:     globpr=1; /* again, to print the individual contributions using computed gpimx and gsw */
1.126     brouard  7685:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   7686:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   7687:     for (k=1; k<=npar;k++)
                   7688:       printf(" %d %8.5f",k,p[k]);
                   7689:     printf("\n");
                   7690:     
                   7691:     /*--------- results files --------------*/
1.192     brouard  7692:     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  7693:     
                   7694:     
                   7695:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7696:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7697:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7698:     for(i=1,jk=1; i <=nlstate; i++){
                   7699:       for(k=1; k <=(nlstate+ndeath); k++){
                   7700:        if (k != i) {
                   7701:          printf("%d%d ",i,k);
                   7702:          fprintf(ficlog,"%d%d ",i,k);
                   7703:          fprintf(ficres,"%1d%1d ",i,k);
                   7704:          for(j=1; j <=ncovmodel; j++){
1.190     brouard  7705:            printf("%12.7f ",p[jk]);
                   7706:            fprintf(ficlog,"%12.7f ",p[jk]);
                   7707:            fprintf(ficres,"%12.7f ",p[jk]);
1.126     brouard  7708:            jk++; 
                   7709:          }
                   7710:          printf("\n");
                   7711:          fprintf(ficlog,"\n");
                   7712:          fprintf(ficres,"\n");
                   7713:        }
                   7714:       }
                   7715:     }
1.203     brouard  7716:     if(mle != 0){
                   7717:       /* Computing hessian and covariance matrix only at a peak of the Likelihood, that is after optimization */
1.126     brouard  7718:       ftolhess=ftol; /* Usually correct */
1.203     brouard  7719:       hesscov(matcov, hess, p, npar, delti, ftolhess, func);
                   7720:       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");
                   7721:       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");
                   7722:       for(i=1,jk=1; i <=nlstate; i++){
                   7723:        for(k=1; k <=(nlstate+ndeath); k++){
                   7724:          if (k != i) {
                   7725:            printf("%d%d ",i,k);
                   7726:            fprintf(ficlog,"%d%d ",i,k);
                   7727:            for(j=1; j <=ncovmodel; j++){
                   7728:              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]));
                   7729:              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]));
                   7730:              jk++; 
                   7731:            }
                   7732:            printf("\n");
                   7733:            fprintf(ficlog,"\n");
1.193     brouard  7734:          }
                   7735:        }
                   7736:       }
1.203     brouard  7737:     } /* end of hesscov and Wald tests */
1.193     brouard  7738: 
1.203     brouard  7739:     /*  */
1.126     brouard  7740:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   7741:     printf("# Scales (for hessian or gradient estimation)\n");
                   7742:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   7743:     for(i=1,jk=1; i <=nlstate; i++){
                   7744:       for(j=1; j <=nlstate+ndeath; j++){
                   7745:        if (j!=i) {
                   7746:          fprintf(ficres,"%1d%1d",i,j);
                   7747:          printf("%1d%1d",i,j);
                   7748:          fprintf(ficlog,"%1d%1d",i,j);
                   7749:          for(k=1; k<=ncovmodel;k++){
                   7750:            printf(" %.5e",delti[jk]);
                   7751:            fprintf(ficlog," %.5e",delti[jk]);
                   7752:            fprintf(ficres," %.5e",delti[jk]);
                   7753:            jk++;
                   7754:          }
                   7755:          printf("\n");
                   7756:          fprintf(ficlog,"\n");
                   7757:          fprintf(ficres,"\n");
                   7758:        }
                   7759:       }
                   7760:     }
                   7761:     
                   7762:     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  7763:     if(mle >= 1) /* To big for the screen */
1.126     brouard  7764:       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");
                   7765:     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");
                   7766:     /* # 121 Var(a12)\n\ */
                   7767:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   7768:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   7769:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   7770:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   7771:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   7772:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   7773:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   7774:     
                   7775:     
                   7776:     /* Just to have a covariance matrix which will be more understandable
                   7777:        even is we still don't want to manage dictionary of variables
                   7778:     */
                   7779:     for(itimes=1;itimes<=2;itimes++){
                   7780:       jj=0;
                   7781:       for(i=1; i <=nlstate; i++){
                   7782:        for(j=1; j <=nlstate+ndeath; j++){
                   7783:          if(j==i) continue;
                   7784:          for(k=1; k<=ncovmodel;k++){
                   7785:            jj++;
                   7786:            ca[0]= k+'a'-1;ca[1]='\0';
                   7787:            if(itimes==1){
                   7788:              if(mle>=1)
                   7789:                printf("#%1d%1d%d",i,j,k);
                   7790:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
                   7791:              fprintf(ficres,"#%1d%1d%d",i,j,k);
                   7792:            }else{
                   7793:              if(mle>=1)
                   7794:                printf("%1d%1d%d",i,j,k);
                   7795:              fprintf(ficlog,"%1d%1d%d",i,j,k);
                   7796:              fprintf(ficres,"%1d%1d%d",i,j,k);
                   7797:            }
                   7798:            ll=0;
                   7799:            for(li=1;li <=nlstate; li++){
                   7800:              for(lj=1;lj <=nlstate+ndeath; lj++){
                   7801:                if(lj==li) continue;
                   7802:                for(lk=1;lk<=ncovmodel;lk++){
                   7803:                  ll++;
                   7804:                  if(ll<=jj){
                   7805:                    cb[0]= lk +'a'-1;cb[1]='\0';
                   7806:                    if(ll<jj){
                   7807:                      if(itimes==1){
                   7808:                        if(mle>=1)
                   7809:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7810:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7811:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7812:                      }else{
                   7813:                        if(mle>=1)
                   7814:                          printf(" %.5e",matcov[jj][ll]); 
                   7815:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   7816:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   7817:                      }
                   7818:                    }else{
                   7819:                      if(itimes==1){
                   7820:                        if(mle>=1)
                   7821:                          printf(" Var(%s%1d%1d)",ca,i,j);
                   7822:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                   7823:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                   7824:                      }else{
                   7825:                        if(mle>=1)
1.203     brouard  7826:                          printf(" %.7e",matcov[jj][ll]); 
                   7827:                        fprintf(ficlog," %.7e",matcov[jj][ll]); 
                   7828:                        fprintf(ficres," %.7e",matcov[jj][ll]); 
1.126     brouard  7829:                      }
                   7830:                    }
                   7831:                  }
                   7832:                } /* end lk */
                   7833:              } /* end lj */
                   7834:            } /* end li */
                   7835:            if(mle>=1)
                   7836:              printf("\n");
                   7837:            fprintf(ficlog,"\n");
                   7838:            fprintf(ficres,"\n");
                   7839:            numlinepar++;
                   7840:          } /* end k*/
                   7841:        } /*end j */
                   7842:       } /* end i */
                   7843:     } /* end itimes */
                   7844:     
                   7845:     fflush(ficlog);
                   7846:     fflush(ficres);
                   7847:     
                   7848:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7849:       ungetc(c,ficpar);
                   7850:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7851:       fputs(line,stdout);
1.126     brouard  7852:       fputs(line,ficparo);
                   7853:     }
                   7854:     ungetc(c,ficpar);
                   7855:     
                   7856:     estepm=0;
                   7857:     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);
                   7858:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   7859:     if (fage <= 2) {
                   7860:       bage = ageminpar;
                   7861:       fage = agemaxpar;
                   7862:     }
                   7863:     
                   7864:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
                   7865:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
                   7866:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
1.186     brouard  7867: 
                   7868:     /* Other stuffs, more or less useful */    
1.126     brouard  7869:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7870:       ungetc(c,ficpar);
                   7871:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7872:       fputs(line,stdout);
1.126     brouard  7873:       fputs(line,ficparo);
                   7874:     }
                   7875:     ungetc(c,ficpar);
                   7876:     
                   7877:     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);
                   7878:     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);
                   7879:     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);
                   7880:     printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   7881:     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);
                   7882:     
                   7883:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7884:       ungetc(c,ficpar);
                   7885:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7886:       fputs(line,stdout);
1.126     brouard  7887:       fputs(line,ficparo);
                   7888:     }
                   7889:     ungetc(c,ficpar);
                   7890:     
                   7891:     
                   7892:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   7893:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   7894:     
                   7895:     fscanf(ficpar,"pop_based=%d\n",&popbased);
1.193     brouard  7896:     fprintf(ficlog,"pop_based=%d\n",popbased);
1.126     brouard  7897:     fprintf(ficparo,"pop_based=%d\n",popbased);   
                   7898:     fprintf(ficres,"pop_based=%d\n",popbased);   
                   7899:     
                   7900:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7901:       ungetc(c,ficpar);
                   7902:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7903:       fputs(line,stdout);
1.126     brouard  7904:       fputs(line,ficparo);
                   7905:     }
                   7906:     ungetc(c,ficpar);
                   7907:     
                   7908:     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);
                   7909:     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);
                   7910:     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);
                   7911:     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);
                   7912:     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);
                   7913:     /* day and month of proj2 are not used but only year anproj2.*/
                   7914:     
                   7915:     
                   7916:     
1.145     brouard  7917:      /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
                   7918:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  7919:     
                   7920:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  7921:     if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
                   7922:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   7923: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   7924: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   7925:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   7926: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   7927: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   7928:     }else
1.201     brouard  7929:       printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
1.126     brouard  7930:     
1.201     brouard  7931:     printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt,\
1.126     brouard  7932:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,\
                   7933:                 jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);
                   7934:       
                   7935:    /*------------ free_vector  -------------*/
                   7936:    /*  chdir(path); */
                   7937:  
                   7938:     free_ivector(wav,1,imx);
                   7939:     free_imatrix(dh,1,lastpass-firstpass+1,1,imx);
                   7940:     free_imatrix(bh,1,lastpass-firstpass+1,1,imx);
                   7941:     free_imatrix(mw,1,lastpass-firstpass+1,1,imx);   
                   7942:     free_lvector(num,1,n);
                   7943:     free_vector(agedc,1,n);
                   7944:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   7945:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   7946:     fclose(ficparo);
                   7947:     fclose(ficres);
                   7948: 
                   7949: 
1.186     brouard  7950:     /* Other results (useful)*/
                   7951: 
                   7952: 
1.126     brouard  7953:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  7954:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   7955:     prlim=matrix(1,nlstate,1,nlstate);
1.203     brouard  7956:     prevalence_limit(p, prlim,  ageminpar, agemaxpar, ftolpl, ncvyear);
1.126     brouard  7957:     fclose(ficrespl);
                   7958: 
1.145     brouard  7959: #ifdef FREEEXIT2
                   7960: #include "freeexit2.h"
                   7961: #endif
                   7962: 
1.126     brouard  7963:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  7964:     /*#include "hpijx.h"*/
                   7965:     hPijx(p, bage, fage);
1.145     brouard  7966:     fclose(ficrespij);
1.126     brouard  7967: 
1.145     brouard  7968:   /*-------------- Variance of one-step probabilities---*/
                   7969:     k=1;
1.126     brouard  7970:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
                   7971: 
                   7972: 
                   7973:     probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   7974:     for(i=1;i<=AGESUP;i++)
                   7975:       for(j=1;j<=NCOVMAX;j++)
                   7976:        for(k=1;k<=NCOVMAX;k++)
                   7977:          probs[i][j][k]=0.;
                   7978: 
                   7979:     /*---------- Forecasting ------------------*/
                   7980:     /*if((stepm == 1) && (strcmp(model,".")==0)){*/
                   7981:     if(prevfcast==1){
                   7982:       /*    if(stepm ==1){*/
1.201     brouard  7983:       prevforecast(fileresu, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
1.126     brouard  7984:       /* (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);*/
                   7985:       /*      }  */
                   7986:       /*      else{ */
                   7987:       /*        erreur=108; */
                   7988:       /*        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); */
                   7989:       /*        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); */
                   7990:       /*      } */
                   7991:     }
1.186     brouard  7992:  
                   7993:     /* ------ Other prevalence ratios------------ */
1.126     brouard  7994: 
1.127     brouard  7995:     /* Computes prevalence between agemin (i.e minimal age computed) and no more ageminpar */
                   7996: 
                   7997:     prevalence(probs, agemin, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   7998:     /*  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",\
                   7999:        ageminpar, agemax, s[lastpass][imx], agev[lastpass][imx], nlstate, imx, mint[lastpass][imx],anint[lastpass][imx], dateprev1, dateprev2, firstpass, lastpass);
                   8000:     */
1.126     brouard  8001: 
1.127     brouard  8002:     if (mobilav!=0) {
                   8003:       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   8004:       if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
                   8005:        fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   8006:        printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   8007:       }
1.126     brouard  8008:     }
                   8009: 
                   8010: 
1.127     brouard  8011:     /*---------- Health expectancies, no variances ------------*/
                   8012: 
1.201     brouard  8013:     strcpy(filerese,"E_");
                   8014:     strcat(filerese,fileresu);
1.126     brouard  8015:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   8016:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   8017:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   8018:     }
                   8019:     printf("Computing Health Expectancies: result on file '%s' \n", filerese);
                   8020:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' \n", filerese);
1.145     brouard  8021:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   8022:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   8023:           
                   8024:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.127     brouard  8025:        fprintf(ficreseij,"\n#****** ");
                   8026:        for(j=1;j<=cptcoveff;j++) {
1.200     brouard  8027:          fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.127     brouard  8028:        }
                   8029:        fprintf(ficreseij,"******\n");
                   8030: 
                   8031:        eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   8032:        oldm=oldms;savm=savms;
                   8033:        evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart);  
                   8034:       
                   8035:        free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.145     brouard  8036:       /*}*/
1.127     brouard  8037:     }
                   8038:     fclose(ficreseij);
                   8039: 
                   8040: 
                   8041:     /*---------- Health expectancies and variances ------------*/
                   8042: 
                   8043: 
1.201     brouard  8044:     strcpy(filerest,"T_");
                   8045:     strcat(filerest,fileresu);
1.127     brouard  8046:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   8047:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   8048:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   8049:     }
                   8050:     printf("Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); 
                   8051:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); 
                   8052: 
1.126     brouard  8053: 
1.201     brouard  8054:     strcpy(fileresstde,"STDE_");
                   8055:     strcat(fileresstde,fileresu);
1.126     brouard  8056:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
                   8057:       printf("Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   8058:       fprintf(ficlog,"Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   8059:     }
                   8060:     printf("Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   8061:     fprintf(ficlog,"Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   8062: 
1.201     brouard  8063:     strcpy(filerescve,"CVE_");
                   8064:     strcat(filerescve,fileresu);
1.126     brouard  8065:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
                   8066:       printf("Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
                   8067:       fprintf(ficlog,"Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
                   8068:     }
                   8069:     printf("Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
                   8070:     fprintf(ficlog,"Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
                   8071: 
1.201     brouard  8072:     strcpy(fileresv,"V_");
                   8073:     strcat(fileresv,fileresu);
1.126     brouard  8074:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   8075:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   8076:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   8077:     }
                   8078:     printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
                   8079:     fprintf(ficlog,"Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
                   8080: 
1.145     brouard  8081:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   8082:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   8083:           
                   8084:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   8085:        fprintf(ficrest,"\n#****** ");
1.126     brouard  8086:        for(j=1;j<=cptcoveff;j++) 
1.200     brouard  8087:          fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  8088:        fprintf(ficrest,"******\n");
                   8089: 
                   8090:        fprintf(ficresstdeij,"\n#****** ");
                   8091:        fprintf(ficrescveij,"\n#****** ");
                   8092:        for(j=1;j<=cptcoveff;j++) {
1.200     brouard  8093:          fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8094:          fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  8095:        }
                   8096:        fprintf(ficresstdeij,"******\n");
                   8097:        fprintf(ficrescveij,"******\n");
                   8098: 
                   8099:        fprintf(ficresvij,"\n#****** ");
                   8100:        for(j=1;j<=cptcoveff;j++) 
1.200     brouard  8101:          fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  8102:        fprintf(ficresvij,"******\n");
                   8103: 
                   8104:        eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   8105:        oldm=oldms;savm=savms;
1.127     brouard  8106:        cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);  
1.145     brouard  8107:        /*
                   8108:         */
                   8109:        /* goto endfree; */
1.126     brouard  8110:  
                   8111:        vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   8112:        pstamp(ficrest);
1.145     brouard  8113: 
                   8114: 
1.128     brouard  8115:        for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.199     brouard  8116:          oldm=oldms;savm=savms; /* ZZ Segmentation fault */
1.161     brouard  8117:          cptcod= 0; /* To be deleted */
1.203     brouard  8118:          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  8119:          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  8120:          if(vpopbased==1)
                   8121:            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);
                   8122:          else
                   8123:            fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
1.201     brouard  8124:          fprintf(ficrest,"# Age popbased mobilav e.. (std) ");
1.128     brouard  8125:          for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
                   8126:          fprintf(ficrest,"\n");
1.199     brouard  8127:          /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
1.128     brouard  8128:          epj=vector(1,nlstate+1);
                   8129:          for(age=bage; age <=fage ;age++){
1.203     brouard  8130:            prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyear, k); /*ZZ Is it the correct prevalim */
1.128     brouard  8131:            if (vpopbased==1) {
                   8132:              if(mobilav ==0){
                   8133:                for(i=1; i<=nlstate;i++)
                   8134:                  prlim[i][i]=probs[(int)age][i][k];
                   8135:              }else{ /* mobilav */ 
                   8136:                for(i=1; i<=nlstate;i++)
                   8137:                  prlim[i][i]=mobaverage[(int)age][i][k];
                   8138:              }
1.126     brouard  8139:            }
                   8140:        
1.201     brouard  8141:            fprintf(ficrest," %4.0f %d %d",age, vpopbased, mobilav);
1.205   ! brouard  8142:            /* 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  8143:            /* printf(" age %4.0f ",age); */
1.128     brouard  8144:            for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                   8145:              for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   8146:                epj[j] += prlim[i][i]*eij[i][j][(int)age];
1.199     brouard  8147:                /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   8148:                /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
1.128     brouard  8149:              }
                   8150:              epj[nlstate+1] +=epj[j];
1.126     brouard  8151:            }
1.199     brouard  8152:            /* printf(" age %4.0f \n",age); */
1.126     brouard  8153: 
1.128     brouard  8154:            for(i=1, vepp=0.;i <=nlstate;i++)
                   8155:              for(j=1;j <=nlstate;j++)
                   8156:                vepp += vareij[i][j][(int)age];
                   8157:            fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
                   8158:            for(j=1;j <=nlstate;j++){
                   8159:              fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
                   8160:            }
                   8161:            fprintf(ficrest,"\n");
1.126     brouard  8162:          }
                   8163:        }
                   8164:        free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   8165:        free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   8166:        free_vector(epj,1,nlstate+1);
1.145     brouard  8167:       /*}*/
1.126     brouard  8168:     }
                   8169:     free_vector(weight,1,n);
1.145     brouard  8170:     free_imatrix(Tvard,1,NCOVMAX,1,2);
1.126     brouard  8171:     free_imatrix(s,1,maxwav+1,1,n);
                   8172:     free_matrix(anint,1,maxwav,1,n); 
                   8173:     free_matrix(mint,1,maxwav,1,n);
                   8174:     free_ivector(cod,1,n);
                   8175:     free_ivector(tab,1,NCOVMAX);
                   8176:     fclose(ficresstdeij);
                   8177:     fclose(ficrescveij);
                   8178:     fclose(ficresvij);
                   8179:     fclose(ficrest);
                   8180:     fclose(ficpar);
                   8181:   
                   8182:     /*------- Variance of period (stable) prevalence------*/   
                   8183: 
1.201     brouard  8184:     strcpy(fileresvpl,"VPL_");
                   8185:     strcat(fileresvpl,fileresu);
1.126     brouard  8186:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
                   8187:       printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
                   8188:       exit(0);
                   8189:     }
                   8190:     printf("Computing Variance-covariance of period (stable) prevalence: file '%s' \n", fileresvpl);
                   8191: 
1.145     brouard  8192:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   8193:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   8194:           
                   8195:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   8196:        fprintf(ficresvpl,"\n#****** ");
1.126     brouard  8197:        for(j=1;j<=cptcoveff;j++) 
1.200     brouard  8198:          fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  8199:        fprintf(ficresvpl,"******\n");
                   8200:       
                   8201:        varpl=matrix(1,nlstate,(int) bage, (int) fage);
                   8202:        oldm=oldms;savm=savms;
1.203     brouard  8203:        varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, ncvyear, k, strstart);
1.126     brouard  8204:        free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
1.145     brouard  8205:       /*}*/
1.126     brouard  8206:     }
                   8207: 
                   8208:     fclose(ficresvpl);
                   8209: 
                   8210:     /*---------- End : free ----------------*/
                   8211:     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   8212:     free_ma3x(probs,1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   8213:   }  /* mle==-3 arrives here for freeing */
1.164     brouard  8214:  /* endfree:*/
1.141     brouard  8215:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
1.126     brouard  8216:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
                   8217:     free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   8218:     free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   8219:     free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   8220:     free_matrix(covar,0,NCOVMAX,1,n);
                   8221:     free_matrix(matcov,1,npar,1,npar);
1.203     brouard  8222:     free_matrix(hess,1,npar,1,npar);
1.126     brouard  8223:     /*free_vector(delti,1,npar);*/
                   8224:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   8225:     free_matrix(agev,1,maxwav,1,imx);
                   8226:     free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   8227: 
1.145     brouard  8228:     free_ivector(ncodemax,1,NCOVMAX);
1.192     brouard  8229:     free_ivector(ncodemaxwundef,1,NCOVMAX);
1.145     brouard  8230:     free_ivector(Tvar,1,NCOVMAX);
                   8231:     free_ivector(Tprod,1,NCOVMAX);
                   8232:     free_ivector(Tvaraff,1,NCOVMAX);
                   8233:     free_ivector(Tage,1,NCOVMAX);
1.126     brouard  8234: 
                   8235:     free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
1.200     brouard  8236:     /* free_imatrix(codtab,1,100,1,10); */
1.126     brouard  8237:   fflush(fichtm);
                   8238:   fflush(ficgp);
                   8239:   
                   8240: 
                   8241:   if((nberr >0) || (nbwarn>0)){
                   8242:     printf("End of Imach with %d errors and/or %d warnings\n",nberr,nbwarn);
                   8243:     fprintf(ficlog,"End of Imach with %d errors and/or warnings %d\n",nberr,nbwarn);
                   8244:   }else{
                   8245:     printf("End of Imach\n");
                   8246:     fprintf(ficlog,"End of Imach\n");
                   8247:   }
                   8248:   printf("See log file on %s\n",filelog);
                   8249:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  8250:   /*(void) gettimeofday(&end_time,&tzp);*/
                   8251:   rend_time = time(NULL);  
                   8252:   end_time = *localtime(&rend_time);
                   8253:   /* tml = *localtime(&end_time.tm_sec); */
                   8254:   strcpy(strtend,asctime(&end_time));
1.126     brouard  8255:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   8256:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  8257:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.126     brouard  8258: 
1.157     brouard  8259:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   8260:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   8261:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  8262:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   8263: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   8264:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   8265:   fclose(fichtm);
                   8266:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   8267:   fclose(fichtmcov);
                   8268:   fclose(ficgp);
                   8269:   fclose(ficlog);
                   8270:   /*------ End -----------*/
                   8271: 
                   8272: 
                   8273:    printf("Before Current directory %s!\n",pathcd);
1.184     brouard  8274: #ifdef WIN32
                   8275:    if (_chdir(pathcd) != 0)
                   8276:           printf("Can't move to directory %s!\n",path);
                   8277:    if(_getcwd(pathcd,MAXLINE) > 0)
                   8278: #else
1.126     brouard  8279:    if(chdir(pathcd) != 0)
1.184     brouard  8280:           printf("Can't move to directory %s!\n", path);
                   8281:    if (getcwd(pathcd, MAXLINE) > 0)
                   8282: #endif 
1.126     brouard  8283:     printf("Current directory %s!\n",pathcd);
                   8284:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   8285:   sprintf(plotcmd,"gnuplot");
1.157     brouard  8286: #ifdef _WIN32
1.126     brouard  8287:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   8288: #endif
                   8289:   if(!stat(plotcmd,&info)){
1.158     brouard  8290:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  8291:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  8292:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  8293:     }else
                   8294:       strcpy(pplotcmd,plotcmd);
1.157     brouard  8295: #ifdef __unix
1.126     brouard  8296:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   8297:     if(!stat(plotcmd,&info)){
1.158     brouard  8298:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  8299:     }else
                   8300:       strcpy(pplotcmd,plotcmd);
                   8301: #endif
                   8302:   }else
                   8303:     strcpy(pplotcmd,plotcmd);
                   8304:   
                   8305:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  8306:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  8307: 
                   8308:   if((outcmd=system(plotcmd)) != 0){
1.158     brouard  8309:     printf("gnuplot command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  8310:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  8311:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.150     brouard  8312:     if((outcmd=system(plotcmd)) != 0)
1.153     brouard  8313:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.126     brouard  8314:   }
1.158     brouard  8315:   printf(" Successful, please wait...");
1.126     brouard  8316:   while (z[0] != 'q') {
                   8317:     /* chdir(path); */
1.154     brouard  8318:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  8319:     scanf("%s",z);
                   8320: /*     if (z[0] == 'c') system("./imach"); */
                   8321:     if (z[0] == 'e') {
1.158     brouard  8322: #ifdef __APPLE__
1.152     brouard  8323:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  8324: #elif __linux
                   8325:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  8326: #else
1.152     brouard  8327:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  8328: #endif
                   8329:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   8330:       system(pplotcmd);
1.126     brouard  8331:     }
                   8332:     else if (z[0] == 'g') system(plotcmd);
                   8333:     else if (z[0] == 'q') exit(0);
                   8334:   }
                   8335:   end:
                   8336:   while (z[0] != 'q') {
1.195     brouard  8337:     printf("\nType  q for exiting: "); fflush(stdout);
1.126     brouard  8338:     scanf("%s",z);
                   8339:   }
                   8340: }

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