Annotation of imach/src/imach.c, revision 1.320

1.320   ! brouard     1: /* $Id: imach.c,v 1.319 2022/06/02 04:45:11 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.320   ! brouard     4:   Revision 1.319  2022/06/02 04:45:11  brouard
        !             5:   * imach.c (Module): Adding the Wald tests from the log to the main
        !             6:   htm for better display of the maximum likelihood estimators.
        !             7: 
1.319     brouard     8:   Revision 1.318  2022/05/24 08:10:59  brouard
                      9:   * imach.c (Module): Some attempts to find a bug of wrong estimates
                     10:   of confidencce intervals with product in the equation modelC
                     11: 
1.318     brouard    12:   Revision 1.317  2022/05/15 15:06:23  brouard
                     13:   * imach.c (Module):  Some minor improvements
                     14: 
1.317     brouard    15:   Revision 1.316  2022/05/11 15:11:31  brouard
                     16:   Summary: r27
                     17: 
1.316     brouard    18:   Revision 1.315  2022/05/11 15:06:32  brouard
                     19:   *** empty log message ***
                     20: 
1.315     brouard    21:   Revision 1.314  2022/04/13 17:43:09  brouard
                     22:   * imach.c (Module): Adding link to text data files
                     23: 
1.314     brouard    24:   Revision 1.313  2022/04/11 15:57:42  brouard
                     25:   * imach.c (Module): Error in rewriting the 'r' file with yearsfproj or yearsbproj fixed
                     26: 
1.313     brouard    27:   Revision 1.312  2022/04/05 21:24:39  brouard
                     28:   *** empty log message ***
                     29: 
1.312     brouard    30:   Revision 1.311  2022/04/05 21:03:51  brouard
                     31:   Summary: Fixed quantitative covariates
                     32: 
                     33:          Fixed covariates (dummy or quantitative)
                     34:        with missing values have never been allowed but are ERRORS and
                     35:        program quits. Standard deviations of fixed covariates were
                     36:        wrongly computed. Mean and standard deviations of time varying
                     37:        covariates are still not computed.
                     38: 
1.311     brouard    39:   Revision 1.310  2022/03/17 08:45:53  brouard
                     40:   Summary: 99r25
                     41: 
                     42:   Improving detection of errors: result lines should be compatible with
                     43:   the model.
                     44: 
1.310     brouard    45:   Revision 1.309  2021/05/20 12:39:14  brouard
                     46:   Summary: Version 0.99r24
                     47: 
1.309     brouard    48:   Revision 1.308  2021/03/31 13:11:57  brouard
                     49:   Summary: Version 0.99r23
                     50: 
                     51: 
                     52:   * imach.c (Module): Still bugs in the result loop. Thank to Holly Benett
                     53: 
1.308     brouard    54:   Revision 1.307  2021/03/08 18:11:32  brouard
                     55:   Summary: 0.99r22 fixed bug on result:
                     56: 
1.307     brouard    57:   Revision 1.306  2021/02/20 15:44:02  brouard
                     58:   Summary: Version 0.99r21
                     59: 
                     60:   * imach.c (Module): Fix bug on quitting after result lines!
                     61:   (Module): Version 0.99r21
                     62: 
1.306     brouard    63:   Revision 1.305  2021/02/20 15:28:30  brouard
                     64:   * imach.c (Module): Fix bug on quitting after result lines!
                     65: 
1.305     brouard    66:   Revision 1.304  2021/02/12 11:34:20  brouard
                     67:   * imach.c (Module): The use of a Windows BOM (huge) file is now an error
                     68: 
1.304     brouard    69:   Revision 1.303  2021/02/11 19:50:15  brouard
                     70:   *  (Module): imach.c Someone entered 'results:' instead of 'result:'. Now it is an error which is printed.
                     71: 
1.303     brouard    72:   Revision 1.302  2020/02/22 21:00:05  brouard
                     73:   *  (Module): imach.c Update mle=-3 (for computing Life expectancy
                     74:   and life table from the data without any state)
                     75: 
1.302     brouard    76:   Revision 1.301  2019/06/04 13:51:20  brouard
                     77:   Summary: Error in 'r'parameter file backcast yearsbproj instead of yearsfproj
                     78: 
1.301     brouard    79:   Revision 1.300  2019/05/22 19:09:45  brouard
                     80:   Summary: version 0.99r19 of May 2019
                     81: 
1.300     brouard    82:   Revision 1.299  2019/05/22 18:37:08  brouard
                     83:   Summary: Cleaned 0.99r19
                     84: 
1.299     brouard    85:   Revision 1.298  2019/05/22 18:19:56  brouard
                     86:   *** empty log message ***
                     87: 
1.298     brouard    88:   Revision 1.297  2019/05/22 17:56:10  brouard
                     89:   Summary: Fix bug by moving date2dmy and nhstepm which gaefin=-1
                     90: 
1.297     brouard    91:   Revision 1.296  2019/05/20 13:03:18  brouard
                     92:   Summary: Projection syntax simplified
                     93: 
                     94: 
                     95:   We can now start projections, forward or backward, from the mean date
                     96:   of inteviews up to or down to a number of years of projection:
                     97:   prevforecast=1 yearsfproj=15.3 mobil_average=0
                     98:   or
                     99:   prevforecast=1 starting-proj-date=1/1/2007 final-proj-date=12/31/2017 mobil_average=0
                    100:   or
                    101:   prevbackcast=1 yearsbproj=12.3 mobil_average=1
                    102:   or
                    103:   prevbackcast=1 starting-back-date=1/10/1999 final-back-date=1/1/1985 mobil_average=1
                    104: 
1.296     brouard   105:   Revision 1.295  2019/05/18 09:52:50  brouard
                    106:   Summary: doxygen tex bug
                    107: 
1.295     brouard   108:   Revision 1.294  2019/05/16 14:54:33  brouard
                    109:   Summary: There was some wrong lines added
                    110: 
1.294     brouard   111:   Revision 1.293  2019/05/09 15:17:34  brouard
                    112:   *** empty log message ***
                    113: 
1.293     brouard   114:   Revision 1.292  2019/05/09 14:17:20  brouard
                    115:   Summary: Some updates
                    116: 
1.292     brouard   117:   Revision 1.291  2019/05/09 13:44:18  brouard
                    118:   Summary: Before ncovmax
                    119: 
1.291     brouard   120:   Revision 1.290  2019/05/09 13:39:37  brouard
                    121:   Summary: 0.99r18 unlimited number of individuals
                    122: 
                    123:   The number n which was limited to 20,000 cases is now unlimited, from firstobs to lastobs. If the number is too for the virtual memory, probably an error will occur.
                    124: 
1.290     brouard   125:   Revision 1.289  2018/12/13 09:16:26  brouard
                    126:   Summary: Bug for young ages (<-30) will be in r17
                    127: 
1.289     brouard   128:   Revision 1.288  2018/05/02 20:58:27  brouard
                    129:   Summary: Some bugs fixed
                    130: 
1.288     brouard   131:   Revision 1.287  2018/05/01 17:57:25  brouard
                    132:   Summary: Bug fixed by providing frequencies only for non missing covariates
                    133: 
1.287     brouard   134:   Revision 1.286  2018/04/27 14:27:04  brouard
                    135:   Summary: some minor bugs
                    136: 
1.286     brouard   137:   Revision 1.285  2018/04/21 21:02:16  brouard
                    138:   Summary: Some bugs fixed, valgrind tested
                    139: 
1.285     brouard   140:   Revision 1.284  2018/04/20 05:22:13  brouard
                    141:   Summary: Computing mean and stdeviation of fixed quantitative variables
                    142: 
1.284     brouard   143:   Revision 1.283  2018/04/19 14:49:16  brouard
                    144:   Summary: Some minor bugs fixed
                    145: 
1.283     brouard   146:   Revision 1.282  2018/02/27 22:50:02  brouard
                    147:   *** empty log message ***
                    148: 
1.282     brouard   149:   Revision 1.281  2018/02/27 19:25:23  brouard
                    150:   Summary: Adding second argument for quitting
                    151: 
1.281     brouard   152:   Revision 1.280  2018/02/21 07:58:13  brouard
                    153:   Summary: 0.99r15
                    154: 
                    155:   New Makefile with recent VirtualBox 5.26. Bug in sqrt negatve in imach.c
                    156: 
1.280     brouard   157:   Revision 1.279  2017/07/20 13:35:01  brouard
                    158:   Summary: temporary working
                    159: 
1.279     brouard   160:   Revision 1.278  2017/07/19 14:09:02  brouard
                    161:   Summary: Bug for mobil_average=0 and prevforecast fixed(?)
                    162: 
1.278     brouard   163:   Revision 1.277  2017/07/17 08:53:49  brouard
                    164:   Summary: BOM files can be read now
                    165: 
1.277     brouard   166:   Revision 1.276  2017/06/30 15:48:31  brouard
                    167:   Summary: Graphs improvements
                    168: 
1.276     brouard   169:   Revision 1.275  2017/06/30 13:39:33  brouard
                    170:   Summary: Saito's color
                    171: 
1.275     brouard   172:   Revision 1.274  2017/06/29 09:47:08  brouard
                    173:   Summary: Version 0.99r14
                    174: 
1.274     brouard   175:   Revision 1.273  2017/06/27 11:06:02  brouard
                    176:   Summary: More documentation on projections
                    177: 
1.273     brouard   178:   Revision 1.272  2017/06/27 10:22:40  brouard
                    179:   Summary: Color of backprojection changed from 6 to 5(yellow)
                    180: 
1.272     brouard   181:   Revision 1.271  2017/06/27 10:17:50  brouard
                    182:   Summary: Some bug with rint
                    183: 
1.271     brouard   184:   Revision 1.270  2017/05/24 05:45:29  brouard
                    185:   *** empty log message ***
                    186: 
1.270     brouard   187:   Revision 1.269  2017/05/23 08:39:25  brouard
                    188:   Summary: Code into subroutine, cleanings
                    189: 
1.269     brouard   190:   Revision 1.268  2017/05/18 20:09:32  brouard
                    191:   Summary: backprojection and confidence intervals of backprevalence
                    192: 
1.268     brouard   193:   Revision 1.267  2017/05/13 10:25:05  brouard
                    194:   Summary: temporary save for backprojection
                    195: 
1.267     brouard   196:   Revision 1.266  2017/05/13 07:26:12  brouard
                    197:   Summary: Version 0.99r13 (improvements and bugs fixed)
                    198: 
1.266     brouard   199:   Revision 1.265  2017/04/26 16:22:11  brouard
                    200:   Summary: imach 0.99r13 Some bugs fixed
                    201: 
1.265     brouard   202:   Revision 1.264  2017/04/26 06:01:29  brouard
                    203:   Summary: Labels in graphs
                    204: 
1.264     brouard   205:   Revision 1.263  2017/04/24 15:23:15  brouard
                    206:   Summary: to save
                    207: 
1.263     brouard   208:   Revision 1.262  2017/04/18 16:48:12  brouard
                    209:   *** empty log message ***
                    210: 
1.262     brouard   211:   Revision 1.261  2017/04/05 10:14:09  brouard
                    212:   Summary: Bug in E_ as well as in T_ fixed nres-1 vs k1-1
                    213: 
1.261     brouard   214:   Revision 1.260  2017/04/04 17:46:59  brouard
                    215:   Summary: Gnuplot indexations fixed (humm)
                    216: 
1.260     brouard   217:   Revision 1.259  2017/04/04 13:01:16  brouard
                    218:   Summary: Some errors to warnings only if date of death is unknown but status is death we could set to pi3
                    219: 
1.259     brouard   220:   Revision 1.258  2017/04/03 10:17:47  brouard
                    221:   Summary: Version 0.99r12
                    222: 
                    223:   Some cleanings, conformed with updated documentation.
                    224: 
1.258     brouard   225:   Revision 1.257  2017/03/29 16:53:30  brouard
                    226:   Summary: Temp
                    227: 
1.257     brouard   228:   Revision 1.256  2017/03/27 05:50:23  brouard
                    229:   Summary: Temporary
                    230: 
1.256     brouard   231:   Revision 1.255  2017/03/08 16:02:28  brouard
                    232:   Summary: IMaCh version 0.99r10 bugs in gnuplot fixed
                    233: 
1.255     brouard   234:   Revision 1.254  2017/03/08 07:13:00  brouard
                    235:   Summary: Fixing data parameter line
                    236: 
1.254     brouard   237:   Revision 1.253  2016/12/15 11:59:41  brouard
                    238:   Summary: 0.99 in progress
                    239: 
1.253     brouard   240:   Revision 1.252  2016/09/15 21:15:37  brouard
                    241:   *** empty log message ***
                    242: 
1.252     brouard   243:   Revision 1.251  2016/09/15 15:01:13  brouard
                    244:   Summary: not working
                    245: 
1.251     brouard   246:   Revision 1.250  2016/09/08 16:07:27  brouard
                    247:   Summary: continue
                    248: 
1.250     brouard   249:   Revision 1.249  2016/09/07 17:14:18  brouard
                    250:   Summary: Starting values from frequencies
                    251: 
1.249     brouard   252:   Revision 1.248  2016/09/07 14:10:18  brouard
                    253:   *** empty log message ***
                    254: 
1.248     brouard   255:   Revision 1.247  2016/09/02 11:11:21  brouard
                    256:   *** empty log message ***
                    257: 
1.247     brouard   258:   Revision 1.246  2016/09/02 08:49:22  brouard
                    259:   *** empty log message ***
                    260: 
1.246     brouard   261:   Revision 1.245  2016/09/02 07:25:01  brouard
                    262:   *** empty log message ***
                    263: 
1.245     brouard   264:   Revision 1.244  2016/09/02 07:17:34  brouard
                    265:   *** empty log message ***
                    266: 
1.244     brouard   267:   Revision 1.243  2016/09/02 06:45:35  brouard
                    268:   *** empty log message ***
                    269: 
1.243     brouard   270:   Revision 1.242  2016/08/30 15:01:20  brouard
                    271:   Summary: Fixing a lots
                    272: 
1.242     brouard   273:   Revision 1.241  2016/08/29 17:17:25  brouard
                    274:   Summary: gnuplot problem in Back projection to fix
                    275: 
1.241     brouard   276:   Revision 1.240  2016/08/29 07:53:18  brouard
                    277:   Summary: Better
                    278: 
1.240     brouard   279:   Revision 1.239  2016/08/26 15:51:03  brouard
                    280:   Summary: Improvement in Powell output in order to copy and paste
                    281: 
                    282:   Author:
                    283: 
1.239     brouard   284:   Revision 1.238  2016/08/26 14:23:35  brouard
                    285:   Summary: Starting tests of 0.99
                    286: 
1.238     brouard   287:   Revision 1.237  2016/08/26 09:20:19  brouard
                    288:   Summary: to valgrind
                    289: 
1.237     brouard   290:   Revision 1.236  2016/08/25 10:50:18  brouard
                    291:   *** empty log message ***
                    292: 
1.236     brouard   293:   Revision 1.235  2016/08/25 06:59:23  brouard
                    294:   *** empty log message ***
                    295: 
1.235     brouard   296:   Revision 1.234  2016/08/23 16:51:20  brouard
                    297:   *** empty log message ***
                    298: 
1.234     brouard   299:   Revision 1.233  2016/08/23 07:40:50  brouard
                    300:   Summary: not working
                    301: 
1.233     brouard   302:   Revision 1.232  2016/08/22 14:20:21  brouard
                    303:   Summary: not working
                    304: 
1.232     brouard   305:   Revision 1.231  2016/08/22 07:17:15  brouard
                    306:   Summary: not working
                    307: 
1.231     brouard   308:   Revision 1.230  2016/08/22 06:55:53  brouard
                    309:   Summary: Not working
                    310: 
1.230     brouard   311:   Revision 1.229  2016/07/23 09:45:53  brouard
                    312:   Summary: Completing for func too
                    313: 
1.229     brouard   314:   Revision 1.228  2016/07/22 17:45:30  brouard
                    315:   Summary: Fixing some arrays, still debugging
                    316: 
1.227     brouard   317:   Revision 1.226  2016/07/12 18:42:34  brouard
                    318:   Summary: temp
                    319: 
1.226     brouard   320:   Revision 1.225  2016/07/12 08:40:03  brouard
                    321:   Summary: saving but not running
                    322: 
1.225     brouard   323:   Revision 1.224  2016/07/01 13:16:01  brouard
                    324:   Summary: Fixes
                    325: 
1.224     brouard   326:   Revision 1.223  2016/02/19 09:23:35  brouard
                    327:   Summary: temporary
                    328: 
1.223     brouard   329:   Revision 1.222  2016/02/17 08:14:50  brouard
                    330:   Summary: Probably last 0.98 stable version 0.98r6
                    331: 
1.222     brouard   332:   Revision 1.221  2016/02/15 23:35:36  brouard
                    333:   Summary: minor bug
                    334: 
1.220     brouard   335:   Revision 1.219  2016/02/15 00:48:12  brouard
                    336:   *** empty log message ***
                    337: 
1.219     brouard   338:   Revision 1.218  2016/02/12 11:29:23  brouard
                    339:   Summary: 0.99 Back projections
                    340: 
1.218     brouard   341:   Revision 1.217  2015/12/23 17:18:31  brouard
                    342:   Summary: Experimental backcast
                    343: 
1.217     brouard   344:   Revision 1.216  2015/12/18 17:32:11  brouard
                    345:   Summary: 0.98r4 Warning and status=-2
                    346: 
                    347:   Version 0.98r4 is now:
                    348:    - displaying an error when status is -1, date of interview unknown and date of death known;
                    349:    - permitting a status -2 when the vital status is unknown at a known date of right truncation.
                    350:   Older changes concerning s=-2, dating from 2005 have been supersed.
                    351: 
1.216     brouard   352:   Revision 1.215  2015/12/16 08:52:24  brouard
                    353:   Summary: 0.98r4 working
                    354: 
1.215     brouard   355:   Revision 1.214  2015/12/16 06:57:54  brouard
                    356:   Summary: temporary not working
                    357: 
1.214     brouard   358:   Revision 1.213  2015/12/11 18:22:17  brouard
                    359:   Summary: 0.98r4
                    360: 
1.213     brouard   361:   Revision 1.212  2015/11/21 12:47:24  brouard
                    362:   Summary: minor typo
                    363: 
1.212     brouard   364:   Revision 1.211  2015/11/21 12:41:11  brouard
                    365:   Summary: 0.98r3 with some graph of projected cross-sectional
                    366: 
                    367:   Author: Nicolas Brouard
                    368: 
1.211     brouard   369:   Revision 1.210  2015/11/18 17:41:20  brouard
1.252     brouard   370:   Summary: Start working on projected prevalences  Revision 1.209  2015/11/17 22:12:03  brouard
1.210     brouard   371:   Summary: Adding ftolpl parameter
                    372:   Author: N Brouard
                    373: 
                    374:   We had difficulties to get smoothed confidence intervals. It was due
                    375:   to the period prevalence which wasn't computed accurately. The inner
                    376:   parameter ftolpl is now an outer parameter of the .imach parameter
                    377:   file after estepm. If ftolpl is small 1.e-4 and estepm too,
                    378:   computation are long.
                    379: 
1.209     brouard   380:   Revision 1.208  2015/11/17 14:31:57  brouard
                    381:   Summary: temporary
                    382: 
1.208     brouard   383:   Revision 1.207  2015/10/27 17:36:57  brouard
                    384:   *** empty log message ***
                    385: 
1.207     brouard   386:   Revision 1.206  2015/10/24 07:14:11  brouard
                    387:   *** empty log message ***
                    388: 
1.206     brouard   389:   Revision 1.205  2015/10/23 15:50:53  brouard
                    390:   Summary: 0.98r3 some clarification for graphs on likelihood contributions
                    391: 
1.205     brouard   392:   Revision 1.204  2015/10/01 16:20:26  brouard
                    393:   Summary: Some new graphs of contribution to likelihood
                    394: 
1.204     brouard   395:   Revision 1.203  2015/09/30 17:45:14  brouard
                    396:   Summary: looking at better estimation of the hessian
                    397: 
                    398:   Also a better criteria for convergence to the period prevalence And
                    399:   therefore adding the number of years needed to converge. (The
                    400:   prevalence in any alive state shold sum to one
                    401: 
1.203     brouard   402:   Revision 1.202  2015/09/22 19:45:16  brouard
                    403:   Summary: Adding some overall graph on contribution to likelihood. Might change
                    404: 
1.202     brouard   405:   Revision 1.201  2015/09/15 17:34:58  brouard
                    406:   Summary: 0.98r0
                    407: 
                    408:   - Some new graphs like suvival functions
                    409:   - Some bugs fixed like model=1+age+V2.
                    410: 
1.201     brouard   411:   Revision 1.200  2015/09/09 16:53:55  brouard
                    412:   Summary: Big bug thanks to Flavia
                    413: 
                    414:   Even model=1+age+V2. did not work anymore
                    415: 
1.200     brouard   416:   Revision 1.199  2015/09/07 14:09:23  brouard
                    417:   Summary: 0.98q6 changing default small png format for graph to vectorized svg.
                    418: 
1.199     brouard   419:   Revision 1.198  2015/09/03 07:14:39  brouard
                    420:   Summary: 0.98q5 Flavia
                    421: 
1.198     brouard   422:   Revision 1.197  2015/09/01 18:24:39  brouard
                    423:   *** empty log message ***
                    424: 
1.197     brouard   425:   Revision 1.196  2015/08/18 23:17:52  brouard
                    426:   Summary: 0.98q5
                    427: 
1.196     brouard   428:   Revision 1.195  2015/08/18 16:28:39  brouard
                    429:   Summary: Adding a hack for testing purpose
                    430: 
                    431:   After reading the title, ftol and model lines, if the comment line has
                    432:   a q, starting with #q, the answer at the end of the run is quit. It
                    433:   permits to run test files in batch with ctest. The former workaround was
                    434:   $ echo q | imach foo.imach
                    435: 
1.195     brouard   436:   Revision 1.194  2015/08/18 13:32:00  brouard
                    437:   Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
                    438: 
1.194     brouard   439:   Revision 1.193  2015/08/04 07:17:42  brouard
                    440:   Summary: 0.98q4
                    441: 
1.193     brouard   442:   Revision 1.192  2015/07/16 16:49:02  brouard
                    443:   Summary: Fixing some outputs
                    444: 
1.192     brouard   445:   Revision 1.191  2015/07/14 10:00:33  brouard
                    446:   Summary: Some fixes
                    447: 
1.191     brouard   448:   Revision 1.190  2015/05/05 08:51:13  brouard
                    449:   Summary: Adding digits in output parameters (7 digits instead of 6)
                    450: 
                    451:   Fix 1+age+.
                    452: 
1.190     brouard   453:   Revision 1.189  2015/04/30 14:45:16  brouard
                    454:   Summary: 0.98q2
                    455: 
1.189     brouard   456:   Revision 1.188  2015/04/30 08:27:53  brouard
                    457:   *** empty log message ***
                    458: 
1.188     brouard   459:   Revision 1.187  2015/04/29 09:11:15  brouard
                    460:   *** empty log message ***
                    461: 
1.187     brouard   462:   Revision 1.186  2015/04/23 12:01:52  brouard
                    463:   Summary: V1*age is working now, version 0.98q1
                    464: 
                    465:   Some codes had been disabled in order to simplify and Vn*age was
                    466:   working in the optimization phase, ie, giving correct MLE parameters,
                    467:   but, as usual, outputs were not correct and program core dumped.
                    468: 
1.186     brouard   469:   Revision 1.185  2015/03/11 13:26:42  brouard
                    470:   Summary: Inclusion of compile and links command line for Intel Compiler
                    471: 
1.185     brouard   472:   Revision 1.184  2015/03/11 11:52:39  brouard
                    473:   Summary: Back from Windows 8. Intel Compiler
                    474: 
1.184     brouard   475:   Revision 1.183  2015/03/10 20:34:32  brouard
                    476:   Summary: 0.98q0, trying with directest, mnbrak fixed
                    477: 
                    478:   We use directest instead of original Powell test; probably no
                    479:   incidence on the results, but better justifications;
                    480:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                    481:   wrong results.
                    482: 
1.183     brouard   483:   Revision 1.182  2015/02/12 08:19:57  brouard
                    484:   Summary: Trying to keep directest which seems simpler and more general
                    485:   Author: Nicolas Brouard
                    486: 
1.182     brouard   487:   Revision 1.181  2015/02/11 23:22:24  brouard
                    488:   Summary: Comments on Powell added
                    489: 
                    490:   Author:
                    491: 
1.181     brouard   492:   Revision 1.180  2015/02/11 17:33:45  brouard
                    493:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                    494: 
1.180     brouard   495:   Revision 1.179  2015/01/04 09:57:06  brouard
                    496:   Summary: back to OS/X
                    497: 
1.179     brouard   498:   Revision 1.178  2015/01/04 09:35:48  brouard
                    499:   *** empty log message ***
                    500: 
1.178     brouard   501:   Revision 1.177  2015/01/03 18:40:56  brouard
                    502:   Summary: Still testing ilc32 on OSX
                    503: 
1.177     brouard   504:   Revision 1.176  2015/01/03 16:45:04  brouard
                    505:   *** empty log message ***
                    506: 
1.176     brouard   507:   Revision 1.175  2015/01/03 16:33:42  brouard
                    508:   *** empty log message ***
                    509: 
1.175     brouard   510:   Revision 1.174  2015/01/03 16:15:49  brouard
                    511:   Summary: Still in cross-compilation
                    512: 
1.174     brouard   513:   Revision 1.173  2015/01/03 12:06:26  brouard
                    514:   Summary: trying to detect cross-compilation
                    515: 
1.173     brouard   516:   Revision 1.172  2014/12/27 12:07:47  brouard
                    517:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                    518: 
1.172     brouard   519:   Revision 1.171  2014/12/23 13:26:59  brouard
                    520:   Summary: Back from Visual C
                    521: 
                    522:   Still problem with utsname.h on Windows
                    523: 
1.171     brouard   524:   Revision 1.170  2014/12/23 11:17:12  brouard
                    525:   Summary: Cleaning some \%% back to %%
                    526: 
                    527:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                    528: 
1.170     brouard   529:   Revision 1.169  2014/12/22 23:08:31  brouard
                    530:   Summary: 0.98p
                    531: 
                    532:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                    533: 
1.169     brouard   534:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard   535:   Summary: update
1.169     brouard   536: 
1.168     brouard   537:   Revision 1.167  2014/12/22 13:50:56  brouard
                    538:   Summary: Testing uname and compiler version and if compiled 32 or 64
                    539: 
                    540:   Testing on Linux 64
                    541: 
1.167     brouard   542:   Revision 1.166  2014/12/22 11:40:47  brouard
                    543:   *** empty log message ***
                    544: 
1.166     brouard   545:   Revision 1.165  2014/12/16 11:20:36  brouard
                    546:   Summary: After compiling on Visual C
                    547: 
                    548:   * imach.c (Module): Merging 1.61 to 1.162
                    549: 
1.165     brouard   550:   Revision 1.164  2014/12/16 10:52:11  brouard
                    551:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    552: 
                    553:   * imach.c (Module): Merging 1.61 to 1.162
                    554: 
1.164     brouard   555:   Revision 1.163  2014/12/16 10:30:11  brouard
                    556:   * imach.c (Module): Merging 1.61 to 1.162
                    557: 
1.163     brouard   558:   Revision 1.162  2014/09/25 11:43:39  brouard
                    559:   Summary: temporary backup 0.99!
                    560: 
1.162     brouard   561:   Revision 1.1  2014/09/16 11:06:58  brouard
                    562:   Summary: With some code (wrong) for nlopt
                    563: 
                    564:   Author:
                    565: 
                    566:   Revision 1.161  2014/09/15 20:41:41  brouard
                    567:   Summary: Problem with macro SQR on Intel compiler
                    568: 
1.161     brouard   569:   Revision 1.160  2014/09/02 09:24:05  brouard
                    570:   *** empty log message ***
                    571: 
1.160     brouard   572:   Revision 1.159  2014/09/01 10:34:10  brouard
                    573:   Summary: WIN32
                    574:   Author: Brouard
                    575: 
1.159     brouard   576:   Revision 1.158  2014/08/27 17:11:51  brouard
                    577:   *** empty log message ***
                    578: 
1.158     brouard   579:   Revision 1.157  2014/08/27 16:26:55  brouard
                    580:   Summary: Preparing windows Visual studio version
                    581:   Author: Brouard
                    582: 
                    583:   In order to compile on Visual studio, time.h is now correct and time_t
                    584:   and tm struct should be used. difftime should be used but sometimes I
                    585:   just make the differences in raw time format (time(&now).
                    586:   Trying to suppress #ifdef LINUX
                    587:   Add xdg-open for __linux in order to open default browser.
                    588: 
1.157     brouard   589:   Revision 1.156  2014/08/25 20:10:10  brouard
                    590:   *** empty log message ***
                    591: 
1.156     brouard   592:   Revision 1.155  2014/08/25 18:32:34  brouard
                    593:   Summary: New compile, minor changes
                    594:   Author: Brouard
                    595: 
1.155     brouard   596:   Revision 1.154  2014/06/20 17:32:08  brouard
                    597:   Summary: Outputs now all graphs of convergence to period prevalence
                    598: 
1.154     brouard   599:   Revision 1.153  2014/06/20 16:45:46  brouard
                    600:   Summary: If 3 live state, convergence to period prevalence on same graph
                    601:   Author: Brouard
                    602: 
1.153     brouard   603:   Revision 1.152  2014/06/18 17:54:09  brouard
                    604:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    605: 
1.152     brouard   606:   Revision 1.151  2014/06/18 16:43:30  brouard
                    607:   *** empty log message ***
                    608: 
1.151     brouard   609:   Revision 1.150  2014/06/18 16:42:35  brouard
                    610:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    611:   Author: brouard
                    612: 
1.150     brouard   613:   Revision 1.149  2014/06/18 15:51:14  brouard
                    614:   Summary: Some fixes in parameter files errors
                    615:   Author: Nicolas Brouard
                    616: 
1.149     brouard   617:   Revision 1.148  2014/06/17 17:38:48  brouard
                    618:   Summary: Nothing new
                    619:   Author: Brouard
                    620: 
                    621:   Just a new packaging for OS/X version 0.98nS
                    622: 
1.148     brouard   623:   Revision 1.147  2014/06/16 10:33:11  brouard
                    624:   *** empty log message ***
                    625: 
1.147     brouard   626:   Revision 1.146  2014/06/16 10:20:28  brouard
                    627:   Summary: Merge
                    628:   Author: Brouard
                    629: 
                    630:   Merge, before building revised version.
                    631: 
1.146     brouard   632:   Revision 1.145  2014/06/10 21:23:15  brouard
                    633:   Summary: Debugging with valgrind
                    634:   Author: Nicolas Brouard
                    635: 
                    636:   Lot of changes in order to output the results with some covariates
                    637:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    638:   improve the code.
                    639:   No more memory valgrind error but a lot has to be done in order to
                    640:   continue the work of splitting the code into subroutines.
                    641:   Also, decodemodel has been improved. Tricode is still not
                    642:   optimal. nbcode should be improved. Documentation has been added in
                    643:   the source code.
                    644: 
1.144     brouard   645:   Revision 1.143  2014/01/26 09:45:38  brouard
                    646:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    647: 
                    648:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    649:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    650: 
1.143     brouard   651:   Revision 1.142  2014/01/26 03:57:36  brouard
                    652:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    653: 
                    654:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    655: 
1.142     brouard   656:   Revision 1.141  2014/01/26 02:42:01  brouard
                    657:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    658: 
1.141     brouard   659:   Revision 1.140  2011/09/02 10:37:54  brouard
                    660:   Summary: times.h is ok with mingw32 now.
                    661: 
1.140     brouard   662:   Revision 1.139  2010/06/14 07:50:17  brouard
                    663:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    664:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    665: 
1.139     brouard   666:   Revision 1.138  2010/04/30 18:19:40  brouard
                    667:   *** empty log message ***
                    668: 
1.138     brouard   669:   Revision 1.137  2010/04/29 18:11:38  brouard
                    670:   (Module): Checking covariates for more complex models
                    671:   than V1+V2. A lot of change to be done. Unstable.
                    672: 
1.137     brouard   673:   Revision 1.136  2010/04/26 20:30:53  brouard
                    674:   (Module): merging some libgsl code. Fixing computation
                    675:   of likelione (using inter/intrapolation if mle = 0) in order to
                    676:   get same likelihood as if mle=1.
                    677:   Some cleaning of code and comments added.
                    678: 
1.136     brouard   679:   Revision 1.135  2009/10/29 15:33:14  brouard
                    680:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    681: 
1.135     brouard   682:   Revision 1.134  2009/10/29 13:18:53  brouard
                    683:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    684: 
1.134     brouard   685:   Revision 1.133  2009/07/06 10:21:25  brouard
                    686:   just nforces
                    687: 
1.133     brouard   688:   Revision 1.132  2009/07/06 08:22:05  brouard
                    689:   Many tings
                    690: 
1.132     brouard   691:   Revision 1.131  2009/06/20 16:22:47  brouard
                    692:   Some dimensions resccaled
                    693: 
1.131     brouard   694:   Revision 1.130  2009/05/26 06:44:34  brouard
                    695:   (Module): Max Covariate is now set to 20 instead of 8. A
                    696:   lot of cleaning with variables initialized to 0. Trying to make
                    697:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    698: 
1.130     brouard   699:   Revision 1.129  2007/08/31 13:49:27  lievre
                    700:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    701: 
1.129     lievre    702:   Revision 1.128  2006/06/30 13:02:05  brouard
                    703:   (Module): Clarifications on computing e.j
                    704: 
1.128     brouard   705:   Revision 1.127  2006/04/28 18:11:50  brouard
                    706:   (Module): Yes the sum of survivors was wrong since
                    707:   imach-114 because nhstepm was no more computed in the age
                    708:   loop. Now we define nhstepma in the age loop.
                    709:   (Module): In order to speed up (in case of numerous covariates) we
                    710:   compute health expectancies (without variances) in a first step
                    711:   and then all the health expectancies with variances or standard
                    712:   deviation (needs data from the Hessian matrices) which slows the
                    713:   computation.
                    714:   In the future we should be able to stop the program is only health
                    715:   expectancies and graph are needed without standard deviations.
                    716: 
1.127     brouard   717:   Revision 1.126  2006/04/28 17:23:28  brouard
                    718:   (Module): Yes the sum of survivors was wrong since
                    719:   imach-114 because nhstepm was no more computed in the age
                    720:   loop. Now we define nhstepma in the age loop.
                    721:   Version 0.98h
                    722: 
1.126     brouard   723:   Revision 1.125  2006/04/04 15:20:31  lievre
                    724:   Errors in calculation of health expectancies. Age was not initialized.
                    725:   Forecasting file added.
                    726: 
                    727:   Revision 1.124  2006/03/22 17:13:53  lievre
                    728:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    729:   The log-likelihood is printed in the log file
                    730: 
                    731:   Revision 1.123  2006/03/20 10:52:43  brouard
                    732:   * imach.c (Module): <title> changed, corresponds to .htm file
                    733:   name. <head> headers where missing.
                    734: 
                    735:   * imach.c (Module): Weights can have a decimal point as for
                    736:   English (a comma might work with a correct LC_NUMERIC environment,
                    737:   otherwise the weight is truncated).
                    738:   Modification of warning when the covariates values are not 0 or
                    739:   1.
                    740:   Version 0.98g
                    741: 
                    742:   Revision 1.122  2006/03/20 09:45:41  brouard
                    743:   (Module): Weights can have a decimal point as for
                    744:   English (a comma might work with a correct LC_NUMERIC environment,
                    745:   otherwise the weight is truncated).
                    746:   Modification of warning when the covariates values are not 0 or
                    747:   1.
                    748:   Version 0.98g
                    749: 
                    750:   Revision 1.121  2006/03/16 17:45:01  lievre
                    751:   * imach.c (Module): Comments concerning covariates added
                    752: 
                    753:   * imach.c (Module): refinements in the computation of lli if
                    754:   status=-2 in order to have more reliable computation if stepm is
                    755:   not 1 month. Version 0.98f
                    756: 
                    757:   Revision 1.120  2006/03/16 15:10:38  lievre
                    758:   (Module): refinements in the computation of lli if
                    759:   status=-2 in order to have more reliable computation if stepm is
                    760:   not 1 month. Version 0.98f
                    761: 
                    762:   Revision 1.119  2006/03/15 17:42:26  brouard
                    763:   (Module): Bug if status = -2, the loglikelihood was
                    764:   computed as likelihood omitting the logarithm. Version O.98e
                    765: 
                    766:   Revision 1.118  2006/03/14 18:20:07  brouard
                    767:   (Module): varevsij Comments added explaining the second
                    768:   table of variances if popbased=1 .
                    769:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    770:   (Module): Function pstamp added
                    771:   (Module): Version 0.98d
                    772: 
                    773:   Revision 1.117  2006/03/14 17:16:22  brouard
                    774:   (Module): varevsij Comments added explaining the second
                    775:   table of variances if popbased=1 .
                    776:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    777:   (Module): Function pstamp added
                    778:   (Module): Version 0.98d
                    779: 
                    780:   Revision 1.116  2006/03/06 10:29:27  brouard
                    781:   (Module): Variance-covariance wrong links and
                    782:   varian-covariance of ej. is needed (Saito).
                    783: 
                    784:   Revision 1.115  2006/02/27 12:17:45  brouard
                    785:   (Module): One freematrix added in mlikeli! 0.98c
                    786: 
                    787:   Revision 1.114  2006/02/26 12:57:58  brouard
                    788:   (Module): Some improvements in processing parameter
                    789:   filename with strsep.
                    790: 
                    791:   Revision 1.113  2006/02/24 14:20:24  brouard
                    792:   (Module): Memory leaks checks with valgrind and:
                    793:   datafile was not closed, some imatrix were not freed and on matrix
                    794:   allocation too.
                    795: 
                    796:   Revision 1.112  2006/01/30 09:55:26  brouard
                    797:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    798: 
                    799:   Revision 1.111  2006/01/25 20:38:18  brouard
                    800:   (Module): Lots of cleaning and bugs added (Gompertz)
                    801:   (Module): Comments can be added in data file. Missing date values
                    802:   can be a simple dot '.'.
                    803: 
                    804:   Revision 1.110  2006/01/25 00:51:50  brouard
                    805:   (Module): Lots of cleaning and bugs added (Gompertz)
                    806: 
                    807:   Revision 1.109  2006/01/24 19:37:15  brouard
                    808:   (Module): Comments (lines starting with a #) are allowed in data.
                    809: 
                    810:   Revision 1.108  2006/01/19 18:05:42  lievre
                    811:   Gnuplot problem appeared...
                    812:   To be fixed
                    813: 
                    814:   Revision 1.107  2006/01/19 16:20:37  brouard
                    815:   Test existence of gnuplot in imach path
                    816: 
                    817:   Revision 1.106  2006/01/19 13:24:36  brouard
                    818:   Some cleaning and links added in html output
                    819: 
                    820:   Revision 1.105  2006/01/05 20:23:19  lievre
                    821:   *** empty log message ***
                    822: 
                    823:   Revision 1.104  2005/09/30 16:11:43  lievre
                    824:   (Module): sump fixed, loop imx fixed, and simplifications.
                    825:   (Module): If the status is missing at the last wave but we know
                    826:   that the person is alive, then we can code his/her status as -2
                    827:   (instead of missing=-1 in earlier versions) and his/her
                    828:   contributions to the likelihood is 1 - Prob of dying from last
                    829:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    830:   the healthy state at last known wave). Version is 0.98
                    831: 
                    832:   Revision 1.103  2005/09/30 15:54:49  lievre
                    833:   (Module): sump fixed, loop imx fixed, and simplifications.
                    834: 
                    835:   Revision 1.102  2004/09/15 17:31:30  brouard
                    836:   Add the possibility to read data file including tab characters.
                    837: 
                    838:   Revision 1.101  2004/09/15 10:38:38  brouard
                    839:   Fix on curr_time
                    840: 
                    841:   Revision 1.100  2004/07/12 18:29:06  brouard
                    842:   Add version for Mac OS X. Just define UNIX in Makefile
                    843: 
                    844:   Revision 1.99  2004/06/05 08:57:40  brouard
                    845:   *** empty log message ***
                    846: 
                    847:   Revision 1.98  2004/05/16 15:05:56  brouard
                    848:   New version 0.97 . First attempt to estimate force of mortality
                    849:   directly from the data i.e. without the need of knowing the health
                    850:   state at each age, but using a Gompertz model: log u =a + b*age .
                    851:   This is the basic analysis of mortality and should be done before any
                    852:   other analysis, in order to test if the mortality estimated from the
                    853:   cross-longitudinal survey is different from the mortality estimated
                    854:   from other sources like vital statistic data.
                    855: 
                    856:   The same imach parameter file can be used but the option for mle should be -3.
                    857: 
1.133     brouard   858:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   859:   former routines in order to include the new code within the former code.
                    860: 
                    861:   The output is very simple: only an estimate of the intercept and of
                    862:   the slope with 95% confident intervals.
                    863: 
                    864:   Current limitations:
                    865:   A) Even if you enter covariates, i.e. with the
                    866:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    867:   B) There is no computation of Life Expectancy nor Life Table.
                    868: 
                    869:   Revision 1.97  2004/02/20 13:25:42  lievre
                    870:   Version 0.96d. Population forecasting command line is (temporarily)
                    871:   suppressed.
                    872: 
                    873:   Revision 1.96  2003/07/15 15:38:55  brouard
                    874:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    875:   rewritten within the same printf. Workaround: many printfs.
                    876: 
                    877:   Revision 1.95  2003/07/08 07:54:34  brouard
                    878:   * imach.c (Repository):
                    879:   (Repository): Using imachwizard code to output a more meaningful covariance
                    880:   matrix (cov(a12,c31) instead of numbers.
                    881: 
                    882:   Revision 1.94  2003/06/27 13:00:02  brouard
                    883:   Just cleaning
                    884: 
                    885:   Revision 1.93  2003/06/25 16:33:55  brouard
                    886:   (Module): On windows (cygwin) function asctime_r doesn't
                    887:   exist so I changed back to asctime which exists.
                    888:   (Module): Version 0.96b
                    889: 
                    890:   Revision 1.92  2003/06/25 16:30:45  brouard
                    891:   (Module): On windows (cygwin) function asctime_r doesn't
                    892:   exist so I changed back to asctime which exists.
                    893: 
                    894:   Revision 1.91  2003/06/25 15:30:29  brouard
                    895:   * imach.c (Repository): Duplicated warning errors corrected.
                    896:   (Repository): Elapsed time after each iteration is now output. It
                    897:   helps to forecast when convergence will be reached. Elapsed time
                    898:   is stamped in powell.  We created a new html file for the graphs
                    899:   concerning matrix of covariance. It has extension -cov.htm.
                    900: 
                    901:   Revision 1.90  2003/06/24 12:34:15  brouard
                    902:   (Module): Some bugs corrected for windows. Also, when
                    903:   mle=-1 a template is output in file "or"mypar.txt with the design
                    904:   of the covariance matrix to be input.
                    905: 
                    906:   Revision 1.89  2003/06/24 12:30:52  brouard
                    907:   (Module): Some bugs corrected for windows. Also, when
                    908:   mle=-1 a template is output in file "or"mypar.txt with the design
                    909:   of the covariance matrix to be input.
                    910: 
                    911:   Revision 1.88  2003/06/23 17:54:56  brouard
                    912:   * 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.
                    913: 
                    914:   Revision 1.87  2003/06/18 12:26:01  brouard
                    915:   Version 0.96
                    916: 
                    917:   Revision 1.86  2003/06/17 20:04:08  brouard
                    918:   (Module): Change position of html and gnuplot routines and added
                    919:   routine fileappend.
                    920: 
                    921:   Revision 1.85  2003/06/17 13:12:43  brouard
                    922:   * imach.c (Repository): Check when date of death was earlier that
                    923:   current date of interview. It may happen when the death was just
                    924:   prior to the death. In this case, dh was negative and likelihood
                    925:   was wrong (infinity). We still send an "Error" but patch by
                    926:   assuming that the date of death was just one stepm after the
                    927:   interview.
                    928:   (Repository): Because some people have very long ID (first column)
                    929:   we changed int to long in num[] and we added a new lvector for
                    930:   memory allocation. But we also truncated to 8 characters (left
                    931:   truncation)
                    932:   (Repository): No more line truncation errors.
                    933: 
                    934:   Revision 1.84  2003/06/13 21:44:43  brouard
                    935:   * imach.c (Repository): Replace "freqsummary" at a correct
                    936:   place. It differs from routine "prevalence" which may be called
                    937:   many times. Probs is memory consuming and must be used with
                    938:   parcimony.
                    939:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    940: 
                    941:   Revision 1.83  2003/06/10 13:39:11  lievre
                    942:   *** empty log message ***
                    943: 
                    944:   Revision 1.82  2003/06/05 15:57:20  brouard
                    945:   Add log in  imach.c and  fullversion number is now printed.
                    946: 
                    947: */
                    948: /*
                    949:    Interpolated Markov Chain
                    950: 
                    951:   Short summary of the programme:
                    952:   
1.227     brouard   953:   This program computes Healthy Life Expectancies or State-specific
                    954:   (if states aren't health statuses) Expectancies from
                    955:   cross-longitudinal data. Cross-longitudinal data consist in: 
                    956: 
                    957:   -1- a first survey ("cross") where individuals from different ages
                    958:   are interviewed on their health status or degree of disability (in
                    959:   the case of a health survey which is our main interest)
                    960: 
                    961:   -2- at least a second wave of interviews ("longitudinal") which
                    962:   measure each change (if any) in individual health status.  Health
                    963:   expectancies are computed from the time spent in each health state
                    964:   according to a model. More health states you consider, more time is
                    965:   necessary to reach the Maximum Likelihood of the parameters involved
                    966:   in the model.  The simplest model is the multinomial logistic model
                    967:   where pij is the probability to be observed in state j at the second
                    968:   wave conditional to be observed in state i at the first
                    969:   wave. Therefore the model is: log(pij/pii)= aij + bij*age+ cij*sex +
                    970:   etc , where 'age' is age and 'sex' is a covariate. If you want to
                    971:   have a more complex model than "constant and age", you should modify
                    972:   the program where the markup *Covariates have to be included here
                    973:   again* invites you to do it.  More covariates you add, slower the
1.126     brouard   974:   convergence.
                    975: 
                    976:   The advantage of this computer programme, compared to a simple
                    977:   multinomial logistic model, is clear when the delay between waves is not
                    978:   identical for each individual. Also, if a individual missed an
                    979:   intermediate interview, the information is lost, but taken into
                    980:   account using an interpolation or extrapolation.  
                    981: 
                    982:   hPijx is the probability to be observed in state i at age x+h
                    983:   conditional to the observed state i at age x. The delay 'h' can be
                    984:   split into an exact number (nh*stepm) of unobserved intermediate
                    985:   states. This elementary transition (by month, quarter,
                    986:   semester or year) is modelled as a multinomial logistic.  The hPx
                    987:   matrix is simply the matrix product of nh*stepm elementary matrices
                    988:   and the contribution of each individual to the likelihood is simply
                    989:   hPijx.
                    990: 
                    991:   Also this programme outputs the covariance matrix of the parameters but also
1.218     brouard   992:   of the life expectancies. It also computes the period (stable) prevalence.
                    993: 
                    994: Back prevalence and projections:
1.227     brouard   995: 
                    996:  - back_prevalence_limit(double *p, double **bprlim, double ageminpar,
                    997:    double agemaxpar, double ftolpl, int *ncvyearp, double
                    998:    dateprev1,double dateprev2, int firstpass, int lastpass, int
                    999:    mobilavproj)
                   1000: 
                   1001:     Computes the back prevalence limit for any combination of
                   1002:     covariate values k at any age between ageminpar and agemaxpar and
                   1003:     returns it in **bprlim. In the loops,
                   1004: 
                   1005:    - **bprevalim(**bprlim, ***mobaverage, nlstate, *p, age, **oldm,
                   1006:        **savm, **dnewm, **doldm, **dsavm, ftolpl, ncvyearp, k);
                   1007: 
                   1008:    - hBijx Back Probability to be in state i at age x-h being in j at x
1.218     brouard  1009:    Computes for any combination of covariates k and any age between bage and fage 
                   1010:    p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   1011:                        oldm=oldms;savm=savms;
1.227     brouard  1012: 
1.267     brouard  1013:    - hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k, nres);
1.218     brouard  1014:      Computes the transition matrix starting at age 'age' over
                   1015:      'nhstepm*hstepm*stepm' months (i.e. until
                   1016:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
1.227     brouard  1017:      nhstepm*hstepm matrices. 
                   1018: 
                   1019:      Returns p3mat[i][j][h] after calling
                   1020:      p3mat[i][j][h]=matprod2(newm,
                   1021:      bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm,
                   1022:      dsavm,ij),\ 1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,
                   1023:      oldm);
1.226     brouard  1024: 
                   1025: Important routines
                   1026: 
                   1027: - func (or funcone), computes logit (pij) distinguishing
                   1028:   o fixed variables (single or product dummies or quantitative);
                   1029:   o varying variables by:
                   1030:    (1) wave (single, product dummies, quantitative), 
                   1031:    (2) by age (can be month) age (done), age*age (done), age*Vn where Vn can be:
                   1032:        % fixed dummy (treated) or quantitative (not done because time-consuming);
                   1033:        % varying dummy (not done) or quantitative (not done);
                   1034: - Tricode which tests the modality of dummy variables (in order to warn with wrong or empty modalities)
                   1035:   and returns the number of efficient covariates cptcoveff and modalities nbcode[Tvar[k]][1]= 0 and nbcode[Tvar[k]][2]= 1 usually.
                   1036: - printinghtml which outputs results like life expectancy in and from a state for a combination of modalities of dummy variables
                   1037:   o There are 2*cptcoveff combinations of (0,1) for cptcoveff variables. Outputting only combinations with people, éliminating 1 1 if
                   1038:     race White (0 0), Black vs White (1 0), Hispanic (0 1) and 1 1 being meaningless.
1.218     brouard  1039: 
1.226     brouard  1040: 
                   1041:   
1.133     brouard  1042:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                   1043:            Institut national d'études démographiques, Paris.
1.126     brouard  1044:   This software have been partly granted by Euro-REVES, a concerted action
                   1045:   from the European Union.
                   1046:   It is copyrighted identically to a GNU software product, ie programme and
                   1047:   software can be distributed freely for non commercial use. Latest version
                   1048:   can be accessed at http://euroreves.ined.fr/imach .
                   1049: 
                   1050:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                   1051:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                   1052:   
                   1053:   **********************************************************************/
                   1054: /*
                   1055:   main
                   1056:   read parameterfile
                   1057:   read datafile
                   1058:   concatwav
                   1059:   freqsummary
                   1060:   if (mle >= 1)
                   1061:     mlikeli
                   1062:   print results files
                   1063:   if mle==1 
                   1064:      computes hessian
                   1065:   read end of parameter file: agemin, agemax, bage, fage, estepm
                   1066:       begin-prev-date,...
                   1067:   open gnuplot file
                   1068:   open html file
1.145     brouard  1069:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                   1070:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                   1071:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                   1072:     freexexit2 possible for memory heap.
                   1073: 
                   1074:   h Pij x                         | pij_nom  ficrestpij
                   1075:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                   1076:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                   1077:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                   1078: 
                   1079:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                   1080:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                   1081:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                   1082:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                   1083:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                   1084: 
1.126     brouard  1085:   forecasting if prevfcast==1 prevforecast call prevalence()
                   1086:   health expectancies
                   1087:   Variance-covariance of DFLE
                   1088:   prevalence()
                   1089:    movingaverage()
                   1090:   varevsij() 
                   1091:   if popbased==1 varevsij(,popbased)
                   1092:   total life expectancies
                   1093:   Variance of period (stable) prevalence
                   1094:  end
                   1095: */
                   1096: 
1.187     brouard  1097: /* #define DEBUG */
                   1098: /* #define DEBUGBRENT */
1.203     brouard  1099: /* #define DEBUGLINMIN */
                   1100: /* #define DEBUGHESS */
                   1101: #define DEBUGHESSIJ
1.224     brouard  1102: /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan) *\/ */
1.165     brouard  1103: #define POWELL /* Instead of NLOPT */
1.224     brouard  1104: #define POWELLNOF3INFF1TEST /* Skip test */
1.186     brouard  1105: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                   1106: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.319     brouard  1107: /* #define FLATSUP  *//* Suppresses directions where likelihood is flat */
1.126     brouard  1108: 
                   1109: #include <math.h>
                   1110: #include <stdio.h>
                   1111: #include <stdlib.h>
                   1112: #include <string.h>
1.226     brouard  1113: #include <ctype.h>
1.159     brouard  1114: 
                   1115: #ifdef _WIN32
                   1116: #include <io.h>
1.172     brouard  1117: #include <windows.h>
                   1118: #include <tchar.h>
1.159     brouard  1119: #else
1.126     brouard  1120: #include <unistd.h>
1.159     brouard  1121: #endif
1.126     brouard  1122: 
                   1123: #include <limits.h>
                   1124: #include <sys/types.h>
1.171     brouard  1125: 
                   1126: #if defined(__GNUC__)
                   1127: #include <sys/utsname.h> /* Doesn't work on Windows */
                   1128: #endif
                   1129: 
1.126     brouard  1130: #include <sys/stat.h>
                   1131: #include <errno.h>
1.159     brouard  1132: /* extern int errno; */
1.126     brouard  1133: 
1.157     brouard  1134: /* #ifdef LINUX */
                   1135: /* #include <time.h> */
                   1136: /* #include "timeval.h" */
                   1137: /* #else */
                   1138: /* #include <sys/time.h> */
                   1139: /* #endif */
                   1140: 
1.126     brouard  1141: #include <time.h>
                   1142: 
1.136     brouard  1143: #ifdef GSL
                   1144: #include <gsl/gsl_errno.h>
                   1145: #include <gsl/gsl_multimin.h>
                   1146: #endif
                   1147: 
1.167     brouard  1148: 
1.162     brouard  1149: #ifdef NLOPT
                   1150: #include <nlopt.h>
                   1151: typedef struct {
                   1152:   double (* function)(double [] );
                   1153: } myfunc_data ;
                   1154: #endif
                   1155: 
1.126     brouard  1156: /* #include <libintl.h> */
                   1157: /* #define _(String) gettext (String) */
                   1158: 
1.251     brouard  1159: #define MAXLINE 2048 /* Was 256 and 1024. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard  1160: 
                   1161: #define GNUPLOTPROGRAM "gnuplot"
                   1162: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                   1163: #define FILENAMELENGTH 132
                   1164: 
                   1165: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                   1166: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                   1167: 
1.144     brouard  1168: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                   1169: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard  1170: 
                   1171: #define NINTERVMAX 8
1.144     brouard  1172: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                   1173: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
1.318     brouard  1174: #define NCOVMAX 30  /**< Maximum number of covariates, including generated covariates V1*V2 */
1.197     brouard  1175: #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.211     brouard  1176: /*#define decodtabm(h,k,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (k-1)) & 1) +1 : -1)*/
                   1177: #define decodtabm(h,k,cptcoveff) (((h-1) >> (k-1)) & 1) +1 
1.290     brouard  1178: /*#define MAXN 20000 */ /* Should by replaced by nobs, real number of observations and unlimited */
1.144     brouard  1179: #define YEARM 12. /**< Number of months per year */
1.218     brouard  1180: /* #define AGESUP 130 */
1.288     brouard  1181: /* #define AGESUP 150 */
                   1182: #define AGESUP 200
1.268     brouard  1183: #define AGEINF 0
1.218     brouard  1184: #define AGEMARGE 25 /* Marge for agemin and agemax for(iage=agemin-AGEMARGE; iage <= agemax+3+AGEMARGE; iage++) */
1.126     brouard  1185: #define AGEBASE 40
1.194     brouard  1186: #define AGEOVERFLOW 1.e20
1.164     brouard  1187: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard  1188: #ifdef _WIN32
                   1189: #define DIRSEPARATOR '\\'
                   1190: #define CHARSEPARATOR "\\"
                   1191: #define ODIRSEPARATOR '/'
                   1192: #else
1.126     brouard  1193: #define DIRSEPARATOR '/'
                   1194: #define CHARSEPARATOR "/"
                   1195: #define ODIRSEPARATOR '\\'
                   1196: #endif
                   1197: 
1.320   ! brouard  1198: /* $Id: imach.c,v 1.319 2022/06/02 04:45:11 brouard Exp $ */
1.126     brouard  1199: /* $State: Exp $ */
1.196     brouard  1200: #include "version.h"
                   1201: char version[]=__IMACH_VERSION__;
1.316     brouard  1202: char copyright[]="May 2022,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015-2020, Nihon University 2021-202, INED 2000-2022";
1.320   ! brouard  1203: char fullversion[]="$Revision: 1.319 $ $Date: 2022/06/02 04:45:11 $"; 
1.126     brouard  1204: char strstart[80];
                   1205: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard  1206: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard  1207: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard  1208: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                   1209: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                   1210: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
1.225     brouard  1211: int cptcovs=0; /**< cptcovs number of simple covariates in the model V2+V1 =2 */
                   1212: int cptcovsnq=0; /**< cptcovsnq number of simple covariates in the model but non quantitative V2+V1 =2 */
1.145     brouard  1213: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                   1214: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                   1215: int cptcoveff=0; /* Total number of covariates to vary for printing results */
1.233     brouard  1216: int ncovf=0; /* Total number of effective fixed covariates (dummy or quantitative) in the model */
                   1217: int ncovv=0; /* Total number of effective (wave) varying covariates (dummy or quantitative) in the model */
1.232     brouard  1218: int ncova=0; /* Total number of effective (wave and stepm) varying with age covariates (dummy of quantitative) in the model */
1.234     brouard  1219: int nsd=0; /**< Total number of single dummy variables (output) */
                   1220: int nsq=0; /**< Total number of single quantitative variables (output) */
1.232     brouard  1221: int ncoveff=0; /* Total number of effective fixed dummy covariates in the model */
1.225     brouard  1222: int nqfveff=0; /**< nqfveff Number of Quantitative Fixed Variables Effective */
1.224     brouard  1223: int ntveff=0; /**< ntveff number of effective time varying variables */
                   1224: int nqtveff=0; /**< ntqveff number of effective time varying quantitative variables */
1.145     brouard  1225: int cptcov=0; /* Working variable */
1.290     brouard  1226: int nobs=10;  /* Number of observations in the data lastobs-firstobs */
1.218     brouard  1227: int ncovcombmax=NCOVMAX; /* Maximum calculated number of covariate combination = pow(2, cptcoveff) */
1.302     brouard  1228: int npar=NPARMAX; /* Number of parameters (nlstate+ndeath-1)*nlstate*ncovmodel; */
1.126     brouard  1229: int nlstate=2; /* Number of live states */
                   1230: int ndeath=1; /* Number of dead states */
1.130     brouard  1231: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.223     brouard  1232: int  nqv=0, ntv=0, nqtv=0;    /* Total number of quantitative variables, time variable (dummy), quantitative and time variable */ 
1.126     brouard  1233: int popbased=0;
                   1234: 
                   1235: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard  1236: int maxwav=0; /* Maxim number of waves */
                   1237: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                   1238: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                   1239: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard  1240:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard  1241: int mle=1, weightopt=0;
1.126     brouard  1242: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                   1243: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                   1244: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                   1245:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard  1246: int countcallfunc=0;  /* Count the number of calls to func */
1.230     brouard  1247: int selected(int kvar); /* Is covariate kvar selected for printing results */
                   1248: 
1.130     brouard  1249: double jmean=1; /* Mean space between 2 waves */
1.145     brouard  1250: double **matprod2(); /* test */
1.126     brouard  1251: double **oldm, **newm, **savm; /* Working pointers to matrices */
                   1252: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.218     brouard  1253: double  **ddnewms, **ddoldms, **ddsavms; /* for freeing later */
                   1254: 
1.136     brouard  1255: /*FILE *fic ; */ /* Used in readdata only */
1.217     brouard  1256: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficresphtm, *ficresphtmfr, *ficrespl, *ficresplb,*ficrespij, *ficrespijb, *ficrest,*ficresf, *ficresfb,*ficrespop;
1.126     brouard  1257: FILE *ficlog, *ficrespow;
1.130     brouard  1258: int globpr=0; /* Global variable for printing or not */
1.126     brouard  1259: double fretone; /* Only one call to likelihood */
1.130     brouard  1260: long ipmx=0; /* Number of contributions */
1.126     brouard  1261: double sw; /* Sum of weights */
                   1262: char filerespow[FILENAMELENGTH];
                   1263: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                   1264: FILE *ficresilk;
                   1265: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                   1266: FILE *ficresprobmorprev;
                   1267: FILE *fichtm, *fichtmcov; /* Html File */
                   1268: FILE *ficreseij;
                   1269: char filerese[FILENAMELENGTH];
                   1270: FILE *ficresstdeij;
                   1271: char fileresstde[FILENAMELENGTH];
                   1272: FILE *ficrescveij;
                   1273: char filerescve[FILENAMELENGTH];
                   1274: FILE  *ficresvij;
                   1275: char fileresv[FILENAMELENGTH];
1.269     brouard  1276: 
1.126     brouard  1277: char title[MAXLINE];
1.234     brouard  1278: char model[MAXLINE]; /**< The model line */
1.217     brouard  1279: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH],  fileresplb[FILENAMELENGTH];
1.126     brouard  1280: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                   1281: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                   1282: char command[FILENAMELENGTH];
                   1283: int  outcmd=0;
                   1284: 
1.217     brouard  1285: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filerespijb[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
1.202     brouard  1286: char fileresu[FILENAMELENGTH]; /* fileres without r in front */
1.126     brouard  1287: char filelog[FILENAMELENGTH]; /* Log file */
                   1288: char filerest[FILENAMELENGTH];
                   1289: char fileregp[FILENAMELENGTH];
                   1290: char popfile[FILENAMELENGTH];
                   1291: 
                   1292: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                   1293: 
1.157     brouard  1294: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                   1295: /* struct timezone tzp; */
                   1296: /* extern int gettimeofday(); */
                   1297: struct tm tml, *gmtime(), *localtime();
                   1298: 
                   1299: extern time_t time();
                   1300: 
                   1301: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                   1302: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                   1303: struct tm tm;
                   1304: 
1.126     brouard  1305: char strcurr[80], strfor[80];
                   1306: 
                   1307: char *endptr;
                   1308: long lval;
                   1309: double dval;
                   1310: 
                   1311: #define NR_END 1
                   1312: #define FREE_ARG char*
                   1313: #define FTOL 1.0e-10
                   1314: 
                   1315: #define NRANSI 
1.240     brouard  1316: #define ITMAX 200
                   1317: #define ITPOWMAX 20 /* This is now multiplied by the number of parameters */ 
1.126     brouard  1318: 
                   1319: #define TOL 2.0e-4 
                   1320: 
                   1321: #define CGOLD 0.3819660 
                   1322: #define ZEPS 1.0e-10 
                   1323: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                   1324: 
                   1325: #define GOLD 1.618034 
                   1326: #define GLIMIT 100.0 
                   1327: #define TINY 1.0e-20 
                   1328: 
                   1329: static double maxarg1,maxarg2;
                   1330: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                   1331: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                   1332:   
                   1333: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                   1334: #define rint(a) floor(a+0.5)
1.166     brouard  1335: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard  1336: #define mytinydouble 1.0e-16
1.166     brouard  1337: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                   1338: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                   1339: /* static double dsqrarg; */
                   1340: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard  1341: static double sqrarg;
                   1342: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                   1343: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                   1344: int agegomp= AGEGOMP;
                   1345: 
                   1346: int imx; 
                   1347: int stepm=1;
                   1348: /* Stepm, step in month: minimum step interpolation*/
                   1349: 
                   1350: int estepm;
                   1351: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                   1352: 
                   1353: int m,nb;
                   1354: long *num;
1.197     brouard  1355: int firstpass=0, lastpass=4,*cod, *cens;
1.192     brouard  1356: int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                   1357:                   covariate for which somebody answered excluding 
                   1358:                   undefined. Usually 2: 0 and 1. */
                   1359: int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                   1360:                             covariate for which somebody answered including 
                   1361:                             undefined. Usually 3: -1, 0 and 1. */
1.126     brouard  1362: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
1.218     brouard  1363: double **pmmij, ***probs; /* Global pointer */
1.219     brouard  1364: double ***mobaverage, ***mobaverages; /* New global variable */
1.126     brouard  1365: double *ageexmed,*agecens;
                   1366: double dateintmean=0;
1.296     brouard  1367:   double anprojd, mprojd, jprojd; /* For eventual projections */
                   1368:   double anprojf, mprojf, jprojf;
1.126     brouard  1369: 
1.296     brouard  1370:   double anbackd, mbackd, jbackd; /* For eventual backprojections */
                   1371:   double anbackf, mbackf, jbackf;
                   1372:   double jintmean,mintmean,aintmean;  
1.126     brouard  1373: double *weight;
                   1374: int **s; /* Status */
1.141     brouard  1375: double *agedc;
1.145     brouard  1376: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard  1377:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard  1378:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.268     brouard  1379: double **coqvar; /* Fixed quantitative covariate nqv */
                   1380: double ***cotvar; /* Time varying covariate ntv */
1.225     brouard  1381: double ***cotqvar; /* Time varying quantitative covariate itqv */
1.141     brouard  1382: double  idx; 
                   1383: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.319     brouard  1384: /* Some documentation */
                   1385:       /*   Design original data
                   1386:        *  V1   V2   V3   V4  V5  V6  V7  V8  Weight ddb ddth d1st s1 V9 V10 V11 V12 s2 V9 V10 V11 V12 
                   1387:        *  <          ncovcol=6   >   nqv=2 (V7 V8)                   dv dv  dv  qtv    dv dv  dvv qtv
                   1388:        *                                                             ntv=3     nqtv=1
                   1389:        *  cptcovn number of covariates (not including constant and age) = # of + plus 1 = 10+1=11
                   1390:        * For time varying covariate, quanti or dummies
                   1391:        *       cotqvar[wav][iv(1 to nqtv)][i]= [1][12][i]=(V12) quanti
                   1392:        *       cotvar[wav][ntv+iv][i]= [3+(1 to nqtv)][i]=(V12) quanti
                   1393:        *       cotvar[wav][iv(1 to ntv)][i]= [1][1][i]=(V9) dummies at wav 1
                   1394:        *       cotvar[wav][iv(1 to ntv)][i]= [1][2][i]=(V10) dummies at wav 1
                   1395:        *       covar[k,i], value of kth fixed covariate dummy or quanti :
                   1396:        *       covar[1][i]= (V1), covar[4][i]=(V4), covar[8][i]=(V8)
                   1397:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8 + V9 + V9*age + V10
                   1398:        *   k=  1    2      3       4     5       6      7        8   9     10       11 
                   1399:        */
                   1400: /* According to the model, more columns can be added to covar by the product of covariates */
1.318     brouard  1401: /* ncovcol=1(Males=0 Females=1) nqv=1(raedyrs) ntv=2(withoutiadl=0 withiadl=1, witoutadl=0 withoutadl=1) nqtv=1(bmi) nlstate=3 ndeath=1
                   1402:   # States 1=Coresidence, 2 Living alone, 3 Institution
                   1403:   # V1=sex, V2=raedyrs Quant Fixed, State=livarnb4..livarnb11, V3=iadl4..iald11, V4=adlw4..adlw11, V5=r4bmi..r11bmi
                   1404: */
1.319     brouard  1405: /*             V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1406: /*    k        1  2   3   4     5    6    7     8    9 */
                   1407: /*Typevar[k]=  0  0   0   2     1    0    2     1    0 *//*0 for simple covariate (dummy, quantitative,*/
                   1408:                                                          /* fixed or varying), 1 for age product, 2 for*/
                   1409:                                                          /* product */
                   1410: /*Dummy[k]=    1  0   0   1     3    1    1     2    0 *//*Dummy[k] 0=dummy (0 1), 1 quantitative */
                   1411:                                                          /*(single or product without age), 2 dummy*/
                   1412:                                                          /* with age product, 3 quant with age product*/
                   1413: /*Tvar[k]=     5  4   3   6     5    2    7     1    1 */
                   1414: /*    nsd         1   2                              3 */ /* Counting single dummies covar fixed or tv */
                   1415: /*TvarsD[nsd]     4   3                              1 */ /* ID of single dummy cova fixed or timevary*/
                   1416: /*TvarsDind[k]    2   3                              9 */ /* position K of single dummy cova */
                   1417: /*    nsq      1                     2                 */ /* Counting single quantit tv */
                   1418: /* TvarsQ[k]   5                     2                 */ /* Number of single quantitative cova */
                   1419: /* TvarsQind   1                     6                 */ /* position K of single quantitative cova */
                   1420: /* Tprod[i]=k             1               2            */ /* Position in model of the ith prod without age */
                   1421: /* cptcovage                    1               2      */ /* Counting cov*age in the model equation */
                   1422: /* Tage[cptcovage]=k            5               8      */ /* Position in the model of ith cov*age */
                   1423: /* Tvard[1][1]@4={4,3,1,2}    V4*V3 V1*V2              */ /* Position in model of the ith prod without age */
                   1424: /* TvarF TvarF[1]=Tvar[6]=2,  TvarF[2]=Tvar[7]=7, TvarF[3]=Tvar[9]=1  ID of fixed covariates or product V2, V1*V2, V1 */
1.320   ! brouard  1425: /* TvarFind;  TvarFind[1]=6,  TvarFind[2]=7, TvarFind[3]=9 *//* Inverse V2(6) is first fixed (single or prod)  */
1.234     brouard  1426: /* Type                    */
                   1427: /* V         1  2  3  4  5 */
                   1428: /*           F  F  V  V  V */
                   1429: /*           D  Q  D  D  Q */
                   1430: /*                         */
                   1431: int *TvarsD;
                   1432: int *TvarsDind;
                   1433: int *TvarsQ;
                   1434: int *TvarsQind;
                   1435: 
1.318     brouard  1436: #define MAXRESULTLINESPONE 10+1
1.235     brouard  1437: int nresult=0;
1.258     brouard  1438: int parameterline=0; /* # of the parameter (type) line */
1.318     brouard  1439: int TKresult[MAXRESULTLINESPONE];
                   1440: int Tresult[MAXRESULTLINESPONE][NCOVMAX];/* For dummy variable , value (output) */
                   1441: int Tinvresult[MAXRESULTLINESPONE][NCOVMAX];/* For dummy variable , value (output) */
                   1442: int Tvresult[MAXRESULTLINESPONE][NCOVMAX]; /* For dummy variable , variable # (output) */
                   1443: double Tqresult[MAXRESULTLINESPONE][NCOVMAX]; /* For quantitative variable , value (output) */
                   1444: double Tqinvresult[MAXRESULTLINESPONE][NCOVMAX]; /* For quantitative variable , value (output) */
                   1445: int Tvqresult[MAXRESULTLINESPONE][NCOVMAX]; /* For quantitative variable , variable # (output) */
                   1446: 
                   1447: /* ncovcol=1(Males=0 Females=1) nqv=1(raedyrs) ntv=2(withoutiadl=0 withiadl=1, witoutadl=0 withoutadl=1) nqtv=1(bmi) nlstate=3 ndeath=1
                   1448:   # States 1=Coresidence, 2 Living alone, 3 Institution
                   1449:   # V1=sex, V2=raedyrs Quant Fixed, State=livarnb4..livarnb11, V3=iadl4..iald11, V4=adlw4..adlw11, V5=r4bmi..r11bmi
                   1450: */
1.234     brouard  1451: /* int *TDvar; /\**< TDvar[1]=4,  TDvarF[2]=3, TDvar[3]=6  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 *\/ */
1.232     brouard  1452: int *TvarF; /**< TvarF[1]=Tvar[6]=2,  TvarF[2]=Tvar[7]=7, TvarF[3]=Tvar[9]=1  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1453: int *TvarFind; /**< TvarFind[1]=6,  TvarFind[2]=7, Tvarind[3]=9  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1454: int *TvarV; /**< TvarV[1]=Tvar[1]=5, TvarV[2]=Tvar[2]=4  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1455: int *TvarVind; /**< TvarVind[1]=1, TvarVind[2]=2  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1456: int *TvarA; /**< TvarA[1]=Tvar[5]=5, TvarA[2]=Tvar[8]=1  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1457: int *TvarAind; /**< TvarindA[1]=5, TvarAind[2]=8  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
1.231     brouard  1458: int *TvarFD; /**< TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1459: int *TvarFDind; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1460: int *TvarFQ; /* TvarFQ[1]=V2 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1461: int *TvarFQind; /* TvarFQind[1]=6 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1462: int *TvarVD; /* TvarVD[1]=V5 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1463: int *TvarVDind; /* TvarVDind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1464: int *TvarVQ; /* TvarVQ[1]=V5 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying quantitative variable */
                   1465: int *TvarVQind; /* TvarVQind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying quantitative variable */
                   1466: 
1.230     brouard  1467: int *Tvarsel; /**< Selected covariates for output */
                   1468: double *Tvalsel; /**< Selected modality value of covariate for output */
1.226     brouard  1469: int *Typevar; /**< 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product */
1.227     brouard  1470: int *Fixed; /** Fixed[k] 0=fixed, 1 varying, 2 fixed with age product, 3 varying with age product */ 
                   1471: int *Dummy; /** Dummy[k] 0=dummy (0 1), 1 quantitative (single or product without age), 2 dummy with age product, 3 quant with age product */ 
1.238     brouard  1472: int *DummyV; /** Dummy[v] 0=dummy (0 1), 1 quantitative */
                   1473: int *FixedV; /** FixedV[v] 0 fixed, 1 varying */
1.197     brouard  1474: int *Tage;
1.227     brouard  1475: int anyvaryingduminmodel=0; /**< Any varying dummy in Model=1 yes, 0 no, to avoid a loop on waves in freq */ 
1.228     brouard  1476: int *Tmodelind; /** Tmodelind[Tvaraff[3]]=9 for V1 position,Tvaraff[1]@9={4, 3, 1, 0, 0, 0, 0, 0, 0}, model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
1.230     brouard  1477: int *TmodelInvind; /** Tmodelind[Tvaraff[3]]=9 for V1 position,Tvaraff[1]@9={4, 3, 1, 0, 0, 0, 0, 0, 0}, model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/ 
                   1478: int *TmodelInvQind; /** Tmodelqind[1]=1 for V5(quantitative varying) position,Tvaraff[1]@9={4, 3, 1, 0, 0, 0, 0, 0, 0}, model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1  */
1.145     brouard  1479: int *Ndum; /** Freq of modality (tricode */
1.200     brouard  1480: /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
1.227     brouard  1481: int **Tvard;
                   1482: int *Tprod;/**< Gives the k position of the k1 product */
1.238     brouard  1483: /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3  */
1.227     brouard  1484: int *Tposprod; /**< Gives the k1 product from the k position */
1.238     brouard  1485:    /* if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2) */
                   1486:    /* Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5(V3*V2)]=2 (2nd product without age) */
1.227     brouard  1487: int cptcovprod, *Tvaraff, *invalidvarcomb;
1.126     brouard  1488: double *lsurv, *lpop, *tpop;
                   1489: 
1.231     brouard  1490: #define FD 1; /* Fixed dummy covariate */
                   1491: #define FQ 2; /* Fixed quantitative covariate */
                   1492: #define FP 3; /* Fixed product covariate */
                   1493: #define FPDD 7; /* Fixed product dummy*dummy covariate */
                   1494: #define FPDQ 8; /* Fixed product dummy*quantitative covariate */
                   1495: #define FPQQ 9; /* Fixed product quantitative*quantitative covariate */
                   1496: #define VD 10; /* Varying dummy covariate */
                   1497: #define VQ 11; /* Varying quantitative covariate */
                   1498: #define VP 12; /* Varying product covariate */
                   1499: #define VPDD 13; /* Varying product dummy*dummy covariate */
                   1500: #define VPDQ 14; /* Varying product dummy*quantitative covariate */
                   1501: #define VPQQ 15; /* Varying product quantitative*quantitative covariate */
                   1502: #define APFD 16; /* Age product * fixed dummy covariate */
                   1503: #define APFQ 17; /* Age product * fixed quantitative covariate */
                   1504: #define APVD 18; /* Age product * varying dummy covariate */
                   1505: #define APVQ 19; /* Age product * varying quantitative covariate */
                   1506: 
                   1507: #define FTYPE 1; /* Fixed covariate */
                   1508: #define VTYPE 2; /* Varying covariate (loop in wave) */
                   1509: #define ATYPE 2; /* Age product covariate (loop in dh within wave)*/
                   1510: 
                   1511: struct kmodel{
                   1512:        int maintype; /* main type */
                   1513:        int subtype; /* subtype */
                   1514: };
                   1515: struct kmodel modell[NCOVMAX];
                   1516: 
1.143     brouard  1517: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                   1518: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard  1519: 
                   1520: /**************** split *************************/
                   1521: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                   1522: {
                   1523:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                   1524:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                   1525:   */ 
                   1526:   char *ss;                            /* pointer */
1.186     brouard  1527:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard  1528: 
                   1529:   l1 = strlen(path );                  /* length of path */
                   1530:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1531:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                   1532:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                   1533:     strcpy( name, path );              /* we got the fullname name because no directory */
                   1534:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                   1535:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                   1536:     /* get current working directory */
                   1537:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard  1538: #ifdef WIN32
                   1539:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                   1540: #else
                   1541:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                   1542: #endif
1.126     brouard  1543:       return( GLOCK_ERROR_GETCWD );
                   1544:     }
                   1545:     /* got dirc from getcwd*/
                   1546:     printf(" DIRC = %s \n",dirc);
1.205     brouard  1547:   } else {                             /* strip directory from path */
1.126     brouard  1548:     ss++;                              /* after this, the filename */
                   1549:     l2 = strlen( ss );                 /* length of filename */
                   1550:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1551:     strcpy( name, ss );                /* save file name */
                   1552:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard  1553:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard  1554:     printf(" DIRC2 = %s \n",dirc);
                   1555:   }
                   1556:   /* We add a separator at the end of dirc if not exists */
                   1557:   l1 = strlen( dirc );                 /* length of directory */
                   1558:   if( dirc[l1-1] != DIRSEPARATOR ){
                   1559:     dirc[l1] =  DIRSEPARATOR;
                   1560:     dirc[l1+1] = 0; 
                   1561:     printf(" DIRC3 = %s \n",dirc);
                   1562:   }
                   1563:   ss = strrchr( name, '.' );           /* find last / */
                   1564:   if (ss >0){
                   1565:     ss++;
                   1566:     strcpy(ext,ss);                    /* save extension */
                   1567:     l1= strlen( name);
                   1568:     l2= strlen(ss)+1;
                   1569:     strncpy( finame, name, l1-l2);
                   1570:     finame[l1-l2]= 0;
                   1571:   }
                   1572: 
                   1573:   return( 0 );                         /* we're done */
                   1574: }
                   1575: 
                   1576: 
                   1577: /******************************************/
                   1578: 
                   1579: void replace_back_to_slash(char *s, char*t)
                   1580: {
                   1581:   int i;
                   1582:   int lg=0;
                   1583:   i=0;
                   1584:   lg=strlen(t);
                   1585:   for(i=0; i<= lg; i++) {
                   1586:     (s[i] = t[i]);
                   1587:     if (t[i]== '\\') s[i]='/';
                   1588:   }
                   1589: }
                   1590: 
1.132     brouard  1591: char *trimbb(char *out, char *in)
1.137     brouard  1592: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard  1593:   char *s;
                   1594:   s=out;
                   1595:   while (*in != '\0'){
1.137     brouard  1596:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard  1597:       in++;
                   1598:     }
                   1599:     *out++ = *in++;
                   1600:   }
                   1601:   *out='\0';
                   1602:   return s;
                   1603: }
                   1604: 
1.187     brouard  1605: /* char *substrchaine(char *out, char *in, char *chain) */
                   1606: /* { */
                   1607: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                   1608: /*   char *s, *t; */
                   1609: /*   t=in;s=out; */
                   1610: /*   while ((*in != *chain) && (*in != '\0')){ */
                   1611: /*     *out++ = *in++; */
                   1612: /*   } */
                   1613: 
                   1614: /*   /\* *in matches *chain *\/ */
                   1615: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                   1616: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1617: /*   } */
                   1618: /*   in--; chain--; */
                   1619: /*   while ( (*in != '\0')){ */
                   1620: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1621: /*     *out++ = *in++; */
                   1622: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1623: /*   } */
                   1624: /*   *out='\0'; */
                   1625: /*   out=s; */
                   1626: /*   return out; */
                   1627: /* } */
                   1628: char *substrchaine(char *out, char *in, char *chain)
                   1629: {
                   1630:   /* Substract chain 'chain' from 'in', return and output 'out' */
                   1631:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                   1632: 
                   1633:   char *strloc;
                   1634: 
                   1635:   strcpy (out, in); 
                   1636:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                   1637:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                   1638:   if(strloc != NULL){ 
                   1639:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                   1640:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                   1641:     /* strcpy (strloc, strloc +strlen(chain));*/
                   1642:   }
                   1643:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                   1644:   return out;
                   1645: }
                   1646: 
                   1647: 
1.145     brouard  1648: char *cutl(char *blocc, char *alocc, char *in, char occ)
                   1649: {
1.187     brouard  1650:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard  1651:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.310     brouard  1652:      gives alocc="abcdef" and blocc="ghi2j".
1.145     brouard  1653:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                   1654:   */
1.160     brouard  1655:   char *s, *t;
1.145     brouard  1656:   t=in;s=in;
                   1657:   while ((*in != occ) && (*in != '\0')){
                   1658:     *alocc++ = *in++;
                   1659:   }
                   1660:   if( *in == occ){
                   1661:     *(alocc)='\0';
                   1662:     s=++in;
                   1663:   }
                   1664:  
                   1665:   if (s == t) {/* occ not found */
                   1666:     *(alocc-(in-s))='\0';
                   1667:     in=s;
                   1668:   }
                   1669:   while ( *in != '\0'){
                   1670:     *blocc++ = *in++;
                   1671:   }
                   1672: 
                   1673:   *blocc='\0';
                   1674:   return t;
                   1675: }
1.137     brouard  1676: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1677: {
1.187     brouard  1678:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1679:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1680:      gives blocc="abcdef2ghi" and alocc="j".
                   1681:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1682:   */
                   1683:   char *s, *t;
                   1684:   t=in;s=in;
                   1685:   while (*in != '\0'){
                   1686:     while( *in == occ){
                   1687:       *blocc++ = *in++;
                   1688:       s=in;
                   1689:     }
                   1690:     *blocc++ = *in++;
                   1691:   }
                   1692:   if (s == t) /* occ not found */
                   1693:     *(blocc-(in-s))='\0';
                   1694:   else
                   1695:     *(blocc-(in-s)-1)='\0';
                   1696:   in=s;
                   1697:   while ( *in != '\0'){
                   1698:     *alocc++ = *in++;
                   1699:   }
                   1700: 
                   1701:   *alocc='\0';
                   1702:   return s;
                   1703: }
                   1704: 
1.126     brouard  1705: int nbocc(char *s, char occ)
                   1706: {
                   1707:   int i,j=0;
                   1708:   int lg=20;
                   1709:   i=0;
                   1710:   lg=strlen(s);
                   1711:   for(i=0; i<= lg; i++) {
1.234     brouard  1712:     if  (s[i] == occ ) j++;
1.126     brouard  1713:   }
                   1714:   return j;
                   1715: }
                   1716: 
1.137     brouard  1717: /* void cutv(char *u,char *v, char*t, char occ) */
                   1718: /* { */
                   1719: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1720: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1721: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1722: /*   int i,lg,j,p=0; */
                   1723: /*   i=0; */
                   1724: /*   lg=strlen(t); */
                   1725: /*   for(j=0; j<=lg-1; j++) { */
                   1726: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1727: /*   } */
1.126     brouard  1728: 
1.137     brouard  1729: /*   for(j=0; j<p; j++) { */
                   1730: /*     (u[j] = t[j]); */
                   1731: /*   } */
                   1732: /*      u[p]='\0'; */
1.126     brouard  1733: 
1.137     brouard  1734: /*    for(j=0; j<= lg; j++) { */
                   1735: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1736: /*   } */
                   1737: /* } */
1.126     brouard  1738: 
1.160     brouard  1739: #ifdef _WIN32
                   1740: char * strsep(char **pp, const char *delim)
                   1741: {
                   1742:   char *p, *q;
                   1743:          
                   1744:   if ((p = *pp) == NULL)
                   1745:     return 0;
                   1746:   if ((q = strpbrk (p, delim)) != NULL)
                   1747:   {
                   1748:     *pp = q + 1;
                   1749:     *q = '\0';
                   1750:   }
                   1751:   else
                   1752:     *pp = 0;
                   1753:   return p;
                   1754: }
                   1755: #endif
                   1756: 
1.126     brouard  1757: /********************** nrerror ********************/
                   1758: 
                   1759: void nrerror(char error_text[])
                   1760: {
                   1761:   fprintf(stderr,"ERREUR ...\n");
                   1762:   fprintf(stderr,"%s\n",error_text);
                   1763:   exit(EXIT_FAILURE);
                   1764: }
                   1765: /*********************** vector *******************/
                   1766: double *vector(int nl, int nh)
                   1767: {
                   1768:   double *v;
                   1769:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1770:   if (!v) nrerror("allocation failure in vector");
                   1771:   return v-nl+NR_END;
                   1772: }
                   1773: 
                   1774: /************************ free vector ******************/
                   1775: void free_vector(double*v, int nl, int nh)
                   1776: {
                   1777:   free((FREE_ARG)(v+nl-NR_END));
                   1778: }
                   1779: 
                   1780: /************************ivector *******************************/
                   1781: int *ivector(long nl,long nh)
                   1782: {
                   1783:   int *v;
                   1784:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1785:   if (!v) nrerror("allocation failure in ivector");
                   1786:   return v-nl+NR_END;
                   1787: }
                   1788: 
                   1789: /******************free ivector **************************/
                   1790: void free_ivector(int *v, long nl, long nh)
                   1791: {
                   1792:   free((FREE_ARG)(v+nl-NR_END));
                   1793: }
                   1794: 
                   1795: /************************lvector *******************************/
                   1796: long *lvector(long nl,long nh)
                   1797: {
                   1798:   long *v;
                   1799:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1800:   if (!v) nrerror("allocation failure in ivector");
                   1801:   return v-nl+NR_END;
                   1802: }
                   1803: 
                   1804: /******************free lvector **************************/
                   1805: void free_lvector(long *v, long nl, long nh)
                   1806: {
                   1807:   free((FREE_ARG)(v+nl-NR_END));
                   1808: }
                   1809: 
                   1810: /******************* imatrix *******************************/
                   1811: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1812:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1813: { 
                   1814:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1815:   int **m; 
                   1816:   
                   1817:   /* allocate pointers to rows */ 
                   1818:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1819:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1820:   m += NR_END; 
                   1821:   m -= nrl; 
                   1822:   
                   1823:   
                   1824:   /* allocate rows and set pointers to them */ 
                   1825:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1826:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1827:   m[nrl] += NR_END; 
                   1828:   m[nrl] -= ncl; 
                   1829:   
                   1830:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1831:   
                   1832:   /* return pointer to array of pointers to rows */ 
                   1833:   return m; 
                   1834: } 
                   1835: 
                   1836: /****************** free_imatrix *************************/
                   1837: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1838:       int **m;
                   1839:       long nch,ncl,nrh,nrl; 
                   1840:      /* free an int matrix allocated by imatrix() */ 
                   1841: { 
                   1842:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1843:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1844: } 
                   1845: 
                   1846: /******************* matrix *******************************/
                   1847: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1848: {
                   1849:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1850:   double **m;
                   1851: 
                   1852:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1853:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1854:   m += NR_END;
                   1855:   m -= nrl;
                   1856: 
                   1857:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1858:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1859:   m[nrl] += NR_END;
                   1860:   m[nrl] -= ncl;
                   1861: 
                   1862:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1863:   return m;
1.145     brouard  1864:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1865: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1866: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1867:    */
                   1868: }
                   1869: 
                   1870: /*************************free matrix ************************/
                   1871: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1872: {
                   1873:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1874:   free((FREE_ARG)(m+nrl-NR_END));
                   1875: }
                   1876: 
                   1877: /******************* ma3x *******************************/
                   1878: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1879: {
                   1880:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1881:   double ***m;
                   1882: 
                   1883:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1884:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1885:   m += NR_END;
                   1886:   m -= nrl;
                   1887: 
                   1888:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1889:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1890:   m[nrl] += NR_END;
                   1891:   m[nrl] -= ncl;
                   1892: 
                   1893:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1894: 
                   1895:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1896:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1897:   m[nrl][ncl] += NR_END;
                   1898:   m[nrl][ncl] -= nll;
                   1899:   for (j=ncl+1; j<=nch; j++) 
                   1900:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1901:   
                   1902:   for (i=nrl+1; i<=nrh; i++) {
                   1903:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1904:     for (j=ncl+1; j<=nch; j++) 
                   1905:       m[i][j]=m[i][j-1]+nlay;
                   1906:   }
                   1907:   return m; 
                   1908:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1909:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1910:   */
                   1911: }
                   1912: 
                   1913: /*************************free ma3x ************************/
                   1914: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1915: {
                   1916:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1917:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1918:   free((FREE_ARG)(m+nrl-NR_END));
                   1919: }
                   1920: 
                   1921: /*************** function subdirf ***********/
                   1922: char *subdirf(char fileres[])
                   1923: {
                   1924:   /* Caution optionfilefiname is hidden */
                   1925:   strcpy(tmpout,optionfilefiname);
                   1926:   strcat(tmpout,"/"); /* Add to the right */
                   1927:   strcat(tmpout,fileres);
                   1928:   return tmpout;
                   1929: }
                   1930: 
                   1931: /*************** function subdirf2 ***********/
                   1932: char *subdirf2(char fileres[], char *preop)
                   1933: {
1.314     brouard  1934:   /* Example subdirf2(optionfilefiname,"FB_") with optionfilefiname="texte", result="texte/FB_texte"
                   1935:  Errors in subdirf, 2, 3 while printing tmpout is
1.315     brouard  1936:  rewritten within the same printf. Workaround: many printfs */
1.126     brouard  1937:   /* Caution optionfilefiname is hidden */
                   1938:   strcpy(tmpout,optionfilefiname);
                   1939:   strcat(tmpout,"/");
                   1940:   strcat(tmpout,preop);
                   1941:   strcat(tmpout,fileres);
                   1942:   return tmpout;
                   1943: }
                   1944: 
                   1945: /*************** function subdirf3 ***********/
                   1946: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1947: {
                   1948:   
                   1949:   /* Caution optionfilefiname is hidden */
                   1950:   strcpy(tmpout,optionfilefiname);
                   1951:   strcat(tmpout,"/");
                   1952:   strcat(tmpout,preop);
                   1953:   strcat(tmpout,preop2);
                   1954:   strcat(tmpout,fileres);
                   1955:   return tmpout;
                   1956: }
1.213     brouard  1957:  
                   1958: /*************** function subdirfext ***********/
                   1959: char *subdirfext(char fileres[], char *preop, char *postop)
                   1960: {
                   1961:   
                   1962:   strcpy(tmpout,preop);
                   1963:   strcat(tmpout,fileres);
                   1964:   strcat(tmpout,postop);
                   1965:   return tmpout;
                   1966: }
1.126     brouard  1967: 
1.213     brouard  1968: /*************** function subdirfext3 ***********/
                   1969: char *subdirfext3(char fileres[], char *preop, char *postop)
                   1970: {
                   1971:   
                   1972:   /* Caution optionfilefiname is hidden */
                   1973:   strcpy(tmpout,optionfilefiname);
                   1974:   strcat(tmpout,"/");
                   1975:   strcat(tmpout,preop);
                   1976:   strcat(tmpout,fileres);
                   1977:   strcat(tmpout,postop);
                   1978:   return tmpout;
                   1979: }
                   1980:  
1.162     brouard  1981: char *asc_diff_time(long time_sec, char ascdiff[])
                   1982: {
                   1983:   long sec_left, days, hours, minutes;
                   1984:   days = (time_sec) / (60*60*24);
                   1985:   sec_left = (time_sec) % (60*60*24);
                   1986:   hours = (sec_left) / (60*60) ;
                   1987:   sec_left = (sec_left) %(60*60);
                   1988:   minutes = (sec_left) /60;
                   1989:   sec_left = (sec_left) % (60);
                   1990:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1991:   return ascdiff;
                   1992: }
                   1993: 
1.126     brouard  1994: /***************** f1dim *************************/
                   1995: extern int ncom; 
                   1996: extern double *pcom,*xicom;
                   1997: extern double (*nrfunc)(double []); 
                   1998:  
                   1999: double f1dim(double x) 
                   2000: { 
                   2001:   int j; 
                   2002:   double f;
                   2003:   double *xt; 
                   2004:  
                   2005:   xt=vector(1,ncom); 
                   2006:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   2007:   f=(*nrfunc)(xt); 
                   2008:   free_vector(xt,1,ncom); 
                   2009:   return f; 
                   2010: } 
                   2011: 
                   2012: /*****************brent *************************/
                   2013: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  2014: {
                   2015:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   2016:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   2017:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   2018:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   2019:    * returned function value. 
                   2020:   */
1.126     brouard  2021:   int iter; 
                   2022:   double a,b,d,etemp;
1.159     brouard  2023:   double fu=0,fv,fw,fx;
1.164     brouard  2024:   double ftemp=0.;
1.126     brouard  2025:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   2026:   double e=0.0; 
                   2027:  
                   2028:   a=(ax < cx ? ax : cx); 
                   2029:   b=(ax > cx ? ax : cx); 
                   2030:   x=w=v=bx; 
                   2031:   fw=fv=fx=(*f)(x); 
                   2032:   for (iter=1;iter<=ITMAX;iter++) { 
                   2033:     xm=0.5*(a+b); 
                   2034:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   2035:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   2036:     printf(".");fflush(stdout);
                   2037:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  2038: #ifdef DEBUGBRENT
1.126     brouard  2039:     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);
                   2040:     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);
                   2041:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   2042: #endif
                   2043:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   2044:       *xmin=x; 
                   2045:       return fx; 
                   2046:     } 
                   2047:     ftemp=fu;
                   2048:     if (fabs(e) > tol1) { 
                   2049:       r=(x-w)*(fx-fv); 
                   2050:       q=(x-v)*(fx-fw); 
                   2051:       p=(x-v)*q-(x-w)*r; 
                   2052:       q=2.0*(q-r); 
                   2053:       if (q > 0.0) p = -p; 
                   2054:       q=fabs(q); 
                   2055:       etemp=e; 
                   2056:       e=d; 
                   2057:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
1.224     brouard  2058:                                d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
1.126     brouard  2059:       else { 
1.224     brouard  2060:                                d=p/q; 
                   2061:                                u=x+d; 
                   2062:                                if (u-a < tol2 || b-u < tol2) 
                   2063:                                        d=SIGN(tol1,xm-x); 
1.126     brouard  2064:       } 
                   2065:     } else { 
                   2066:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   2067:     } 
                   2068:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   2069:     fu=(*f)(u); 
                   2070:     if (fu <= fx) { 
                   2071:       if (u >= x) a=x; else b=x; 
                   2072:       SHFT(v,w,x,u) 
1.183     brouard  2073:       SHFT(fv,fw,fx,fu) 
                   2074:     } else { 
                   2075:       if (u < x) a=u; else b=u; 
                   2076:       if (fu <= fw || w == x) { 
1.224     brouard  2077:                                v=w; 
                   2078:                                w=u; 
                   2079:                                fv=fw; 
                   2080:                                fw=fu; 
1.183     brouard  2081:       } else if (fu <= fv || v == x || v == w) { 
1.224     brouard  2082:                                v=u; 
                   2083:                                fv=fu; 
1.183     brouard  2084:       } 
                   2085:     } 
1.126     brouard  2086:   } 
                   2087:   nrerror("Too many iterations in brent"); 
                   2088:   *xmin=x; 
                   2089:   return fx; 
                   2090: } 
                   2091: 
                   2092: /****************** mnbrak ***********************/
                   2093: 
                   2094: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   2095:            double (*func)(double)) 
1.183     brouard  2096: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   2097: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   2098: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   2099: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   2100:    */
1.126     brouard  2101:   double ulim,u,r,q, dum;
                   2102:   double fu; 
1.187     brouard  2103: 
                   2104:   double scale=10.;
                   2105:   int iterscale=0;
                   2106: 
                   2107:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   2108:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   2109: 
                   2110: 
                   2111:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   2112:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   2113:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   2114:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   2115:   /* } */
                   2116: 
1.126     brouard  2117:   if (*fb > *fa) { 
                   2118:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  2119:     SHFT(dum,*fb,*fa,dum) 
                   2120:   } 
1.126     brouard  2121:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   2122:   *fc=(*func)(*cx); 
1.183     brouard  2123: #ifdef DEBUG
1.224     brouard  2124:   printf("mnbrak0 a=%lf *fa=%lf, b=%lf *fb=%lf, c=%lf *fc=%lf\n",*ax,*fa,*bx,*fb,*cx, *fc);
                   2125:   fprintf(ficlog,"mnbrak0 a=%lf *fa=%lf, b=%lf *fb=%lf, c=%lf *fc=%lf\n",*ax,*fa,*bx,*fb,*cx, *fc);
1.183     brouard  2126: #endif
1.224     brouard  2127:   while (*fb > *fc) { /* Declining a,b,c with fa> fb > fc. If fc=inf it exits and if flat fb=fc it exits too.*/
1.126     brouard  2128:     r=(*bx-*ax)*(*fb-*fc); 
1.224     brouard  2129:     q=(*bx-*cx)*(*fb-*fa); /* What if fa=inf */
1.126     brouard  2130:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  2131:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   2132:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   2133:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  2134:       fu=(*func)(u); 
1.163     brouard  2135: #ifdef DEBUG
                   2136:       /* f(x)=A(x-u)**2+f(u) */
                   2137:       double A, fparabu; 
                   2138:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   2139:       fparabu= *fa - A*(*ax-u)*(*ax-u);
1.224     brouard  2140:       printf("\nmnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f, q=%lf < %lf=r)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu,q,r);
                   2141:       fprintf(ficlog,"\nmnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f, q=%lf < %lf=r)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu,q,r);
1.183     brouard  2142:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   2143:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   2144:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   2145:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  2146: #endif 
1.184     brouard  2147: #ifdef MNBRAKORIGINAL
1.183     brouard  2148: #else
1.191     brouard  2149: /*       if (fu > *fc) { */
                   2150: /* #ifdef DEBUG */
                   2151: /*       printf("mnbrak4  fu > fc \n"); */
                   2152: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
                   2153: /* #endif */
                   2154: /*     /\* 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 *\\/  *\/ */
                   2155: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
                   2156: /*     dum=u; /\* Shifting c and u *\/ */
                   2157: /*     u = *cx; */
                   2158: /*     *cx = dum; */
                   2159: /*     dum = fu; */
                   2160: /*     fu = *fc; */
                   2161: /*     *fc =dum; */
                   2162: /*       } else { /\* end *\/ */
                   2163: /* #ifdef DEBUG */
                   2164: /*       printf("mnbrak3  fu < fc \n"); */
                   2165: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
                   2166: /* #endif */
                   2167: /*     dum=u; /\* Shifting c and u *\/ */
                   2168: /*     u = *cx; */
                   2169: /*     *cx = dum; */
                   2170: /*     dum = fu; */
                   2171: /*     fu = *fc; */
                   2172: /*     *fc =dum; */
                   2173: /*       } */
1.224     brouard  2174: #ifdef DEBUGMNBRAK
                   2175:                 double A, fparabu; 
                   2176:      A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   2177:      fparabu= *fa - A*(*ax-u)*(*ax-u);
                   2178:      printf("\nmnbrak35 ax=%lf fa=%lf bx=%lf fb=%lf, u=%lf fp=%lf fu=%lf < or >= fc=%lf cx=%lf, q=%lf < %lf=r \n",*ax, *fa, *bx,*fb,u,fparabu,fu,*fc,*cx,q,r);
                   2179:      fprintf(ficlog,"\nmnbrak35 ax=%lf fa=%lf bx=%lf fb=%lf, u=%lf fp=%lf fu=%lf < or >= fc=%lf cx=%lf, q=%lf < %lf=r \n",*ax, *fa, *bx,*fb,u,fparabu,fu,*fc,*cx,q,r);
1.183     brouard  2180: #endif
1.191     brouard  2181:       dum=u; /* Shifting c and u */
                   2182:       u = *cx;
                   2183:       *cx = dum;
                   2184:       dum = fu;
                   2185:       fu = *fc;
                   2186:       *fc =dum;
1.183     brouard  2187: #endif
1.162     brouard  2188:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  2189: #ifdef DEBUG
1.224     brouard  2190:       printf("\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
                   2191:       fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
1.183     brouard  2192: #endif
1.126     brouard  2193:       fu=(*func)(u); 
                   2194:       if (fu < *fc) { 
1.183     brouard  2195: #ifdef DEBUG
1.224     brouard  2196:                                printf("\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   2197:                          fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   2198: #endif
                   2199:                          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
                   2200:                                SHFT(*fb,*fc,fu,(*func)(u)) 
                   2201: #ifdef DEBUG
                   2202:                                        printf("\nmnbrak2 shift GOLD c=%lf",*cx+GOLD*(*cx-*bx));
1.183     brouard  2203: #endif
                   2204:       } 
1.162     brouard  2205:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  2206: #ifdef DEBUG
1.224     brouard  2207:       printf("\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
                   2208:       fprintf(ficlog,"\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
1.183     brouard  2209: #endif
1.126     brouard  2210:       u=ulim; 
                   2211:       fu=(*func)(u); 
1.183     brouard  2212:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   2213: #ifdef DEBUG
1.224     brouard  2214:       printf("\nmnbrak2  u=%lf could be left to b=%lf (if r=%lf > q=%lf parabola has a maximum)\n",u,*bx,r,q);
                   2215:       fprintf(ficlog,"\nmnbrak2  u=%lf could be left to b=%lf (if r=%lf > q=%lf parabola has a maximum)\n",u,*bx,r,q);
1.183     brouard  2216: #endif
1.126     brouard  2217:       u=(*cx)+GOLD*(*cx-*bx); 
                   2218:       fu=(*func)(u); 
1.224     brouard  2219: #ifdef DEBUG
                   2220:       printf("\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   2221:       fprintf(ficlog,"\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   2222: #endif
1.183     brouard  2223:     } /* end tests */
1.126     brouard  2224:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  2225:     SHFT(*fa,*fb,*fc,fu) 
                   2226: #ifdef DEBUG
1.224     brouard  2227:       printf("\nmnbrak2 shift (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc);
                   2228:       fprintf(ficlog, "\nmnbrak2 shift (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc);
1.183     brouard  2229: #endif
                   2230:   } /* 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  2231: } 
                   2232: 
                   2233: /*************** linmin ************************/
1.162     brouard  2234: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   2235: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   2236: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   2237: the value of func at the returned location p . This is actually all accomplished by calling the
                   2238: routines mnbrak and brent .*/
1.126     brouard  2239: int ncom; 
                   2240: double *pcom,*xicom;
                   2241: double (*nrfunc)(double []); 
                   2242:  
1.224     brouard  2243: #ifdef LINMINORIGINAL
1.126     brouard  2244: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
1.224     brouard  2245: #else
                   2246: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []), int *flat) 
                   2247: #endif
1.126     brouard  2248: { 
                   2249:   double brent(double ax, double bx, double cx, 
                   2250:               double (*f)(double), double tol, double *xmin); 
                   2251:   double f1dim(double x); 
                   2252:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   2253:              double *fc, double (*func)(double)); 
                   2254:   int j; 
                   2255:   double xx,xmin,bx,ax; 
                   2256:   double fx,fb,fa;
1.187     brouard  2257: 
1.203     brouard  2258: #ifdef LINMINORIGINAL
                   2259: #else
                   2260:   double scale=10., axs, xxs; /* Scale added for infinity */
                   2261: #endif
                   2262:   
1.126     brouard  2263:   ncom=n; 
                   2264:   pcom=vector(1,n); 
                   2265:   xicom=vector(1,n); 
                   2266:   nrfunc=func; 
                   2267:   for (j=1;j<=n;j++) { 
                   2268:     pcom[j]=p[j]; 
1.202     brouard  2269:     xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
1.126     brouard  2270:   } 
1.187     brouard  2271: 
1.203     brouard  2272: #ifdef LINMINORIGINAL
                   2273:   xx=1.;
                   2274: #else
                   2275:   axs=0.0;
                   2276:   xxs=1.;
                   2277:   do{
                   2278:     xx= xxs;
                   2279: #endif
1.187     brouard  2280:     ax=0.;
                   2281:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   2282:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   2283:     /* 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))   */
                   2284:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   2285:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   2286:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   2287:     /* 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  2288: #ifdef LINMINORIGINAL
                   2289: #else
                   2290:     if (fx != fx){
1.224     brouard  2291:                        xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                   2292:                        printf("|");
                   2293:                        fprintf(ficlog,"|");
1.203     brouard  2294: #ifdef DEBUGLINMIN
1.224     brouard  2295:                        printf("\nLinmin NAN : input [axs=%lf:xxs=%lf], mnbrak outputs fx=%lf <(fb=%lf and fa=%lf) with xx=%lf in [ax=%lf:bx=%lf] \n",  axs, xxs, fx,fb, fa, xx, ax, bx);
1.203     brouard  2296: #endif
                   2297:     }
1.224     brouard  2298:   }while(fx != fx && xxs > 1.e-5);
1.203     brouard  2299: #endif
                   2300:   
1.191     brouard  2301: #ifdef DEBUGLINMIN
                   2302:   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  2303:   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  2304: #endif
1.224     brouard  2305: #ifdef LINMINORIGINAL
                   2306: #else
1.317     brouard  2307:   if(fb == fx){ /* Flat function in the direction */
                   2308:     xmin=xx;
1.224     brouard  2309:     *flat=1;
1.317     brouard  2310:   }else{
1.224     brouard  2311:     *flat=0;
                   2312: #endif
                   2313:                /*Flat mnbrak2 shift (*ax=0.000000000000, *fa=51626.272983130431), (*bx=-1.618034000000, *fb=51590.149499362531), (*cx=-4.236068025156, *fc=51590.149499362531) */
1.187     brouard  2314:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   2315:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   2316:   /* fmin = f(p[j] + xmin * xi[j]) */
                   2317:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   2318:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  2319: #ifdef DEBUG
1.224     brouard  2320:   printf("retour brent from bracket (a=%lf fa=%lf, xx=%lf fx=%lf, b=%lf fb=%lf): fret=%lf xmin=%lf\n",ax,fa,xx,fx,bx,fb,*fret,xmin);
                   2321:   fprintf(ficlog,"retour brent from bracket (a=%lf fa=%lf, xx=%lf fx=%lf, b=%lf fb=%lf): fret=%lf xmin=%lf\n",ax,fa,xx,fx,bx,fb,*fret,xmin);
                   2322: #endif
                   2323: #ifdef LINMINORIGINAL
                   2324: #else
                   2325:                        }
1.126     brouard  2326: #endif
1.191     brouard  2327: #ifdef DEBUGLINMIN
                   2328:   printf("linmin end ");
1.202     brouard  2329:   fprintf(ficlog,"linmin end ");
1.191     brouard  2330: #endif
1.126     brouard  2331:   for (j=1;j<=n;j++) { 
1.203     brouard  2332: #ifdef LINMINORIGINAL
                   2333:     xi[j] *= xmin; 
                   2334: #else
                   2335: #ifdef DEBUGLINMIN
                   2336:     if(xxs <1.0)
                   2337:       printf(" before xi[%d]=%12.8f", j,xi[j]);
                   2338: #endif
                   2339:     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) */
                   2340: #ifdef DEBUGLINMIN
                   2341:     if(xxs <1.0)
                   2342:       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 );
                   2343: #endif
                   2344: #endif
1.187     brouard  2345:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  2346:   } 
1.191     brouard  2347: #ifdef DEBUGLINMIN
1.203     brouard  2348:   printf("\n");
1.191     brouard  2349:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
1.202     brouard  2350:   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  2351:   for (j=1;j<=n;j++) { 
1.202     brouard  2352:     printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   2353:     fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   2354:     if(j % ncovmodel == 0){
1.191     brouard  2355:       printf("\n");
1.202     brouard  2356:       fprintf(ficlog,"\n");
                   2357:     }
1.191     brouard  2358:   }
1.203     brouard  2359: #else
1.191     brouard  2360: #endif
1.126     brouard  2361:   free_vector(xicom,1,n); 
                   2362:   free_vector(pcom,1,n); 
                   2363: } 
                   2364: 
                   2365: 
                   2366: /*************** powell ************************/
1.162     brouard  2367: /*
1.317     brouard  2368: Minimization of a function func of n variables. Input consists in an initial starting point
                   2369: p[1..n] ; an initial matrix xi[1..n][1..n]  whose columns contain the initial set of di-
                   2370: rections (usually the n unit vectors); and ftol, the fractional tolerance in the function value
                   2371: such that failure to decrease by more than this amount in one iteration signals doneness. On
1.162     brouard  2372: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   2373: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   2374:  */
1.224     brouard  2375: #ifdef LINMINORIGINAL
                   2376: #else
                   2377:        int *flatdir; /* Function is vanishing in that direction */
1.225     brouard  2378:        int flat=0, flatd=0; /* Function is vanishing in that direction */
1.224     brouard  2379: #endif
1.126     brouard  2380: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   2381:            double (*func)(double [])) 
                   2382: { 
1.224     brouard  2383: #ifdef LINMINORIGINAL
                   2384:  void linmin(double p[], double xi[], int n, double *fret, 
1.126     brouard  2385:              double (*func)(double [])); 
1.224     brouard  2386: #else 
1.241     brouard  2387:  void linmin(double p[], double xi[], int n, double *fret,
                   2388:             double (*func)(double []),int *flat); 
1.224     brouard  2389: #endif
1.239     brouard  2390:  int i,ibig,j,jk,k; 
1.126     brouard  2391:   double del,t,*pt,*ptt,*xit;
1.181     brouard  2392:   double directest;
1.126     brouard  2393:   double fp,fptt;
                   2394:   double *xits;
                   2395:   int niterf, itmp;
                   2396: 
                   2397:   pt=vector(1,n); 
                   2398:   ptt=vector(1,n); 
                   2399:   xit=vector(1,n); 
                   2400:   xits=vector(1,n); 
                   2401:   *fret=(*func)(p); 
                   2402:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.202     brouard  2403:   rcurr_time = time(NULL);  
1.126     brouard  2404:   for (*iter=1;;++(*iter)) { 
1.187     brouard  2405:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  2406:     ibig=0; 
                   2407:     del=0.0; 
1.157     brouard  2408:     rlast_time=rcurr_time;
                   2409:     /* (void) gettimeofday(&curr_time,&tzp); */
                   2410:     rcurr_time = time(NULL);  
                   2411:     curr_time = *localtime(&rcurr_time);
                   2412:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   2413:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   2414: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.192     brouard  2415:     for (i=1;i<=n;i++) {
1.126     brouard  2416:       fprintf(ficrespow," %.12lf", p[i]);
                   2417:     }
1.239     brouard  2418:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   2419:     printf("\n#model=  1      +     age ");
                   2420:     fprintf(ficlog,"\n#model=  1      +     age ");
                   2421:     if(nagesqr==1){
1.241     brouard  2422:        printf("  + age*age  ");
                   2423:        fprintf(ficlog,"  + age*age  ");
1.239     brouard  2424:     }
                   2425:     for(j=1;j <=ncovmodel-2;j++){
                   2426:       if(Typevar[j]==0) {
                   2427:        printf("  +      V%d  ",Tvar[j]);
                   2428:        fprintf(ficlog,"  +      V%d  ",Tvar[j]);
                   2429:       }else if(Typevar[j]==1) {
                   2430:        printf("  +    V%d*age ",Tvar[j]);
                   2431:        fprintf(ficlog,"  +    V%d*age ",Tvar[j]);
                   2432:       }else if(Typevar[j]==2) {
                   2433:        printf("  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   2434:        fprintf(ficlog,"  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   2435:       }
                   2436:     }
1.126     brouard  2437:     printf("\n");
1.239     brouard  2438: /*     printf("12   47.0114589    0.0154322   33.2424412    0.3279905    2.3731903  */
                   2439: /* 13  -21.5392400    0.1118147    1.2680506    1.2973408   -1.0663662  */
1.126     brouard  2440:     fprintf(ficlog,"\n");
1.239     brouard  2441:     for(i=1,jk=1; i <=nlstate; i++){
                   2442:       for(k=1; k <=(nlstate+ndeath); k++){
                   2443:        if (k != i) {
                   2444:          printf("%d%d ",i,k);
                   2445:          fprintf(ficlog,"%d%d ",i,k);
                   2446:          for(j=1; j <=ncovmodel; j++){
                   2447:            printf("%12.7f ",p[jk]);
                   2448:            fprintf(ficlog,"%12.7f ",p[jk]);
                   2449:            jk++; 
                   2450:          }
                   2451:          printf("\n");
                   2452:          fprintf(ficlog,"\n");
                   2453:        }
                   2454:       }
                   2455:     }
1.241     brouard  2456:     if(*iter <=3 && *iter >1){
1.157     brouard  2457:       tml = *localtime(&rcurr_time);
                   2458:       strcpy(strcurr,asctime(&tml));
                   2459:       rforecast_time=rcurr_time; 
1.126     brouard  2460:       itmp = strlen(strcurr);
                   2461:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
1.241     brouard  2462:        strcurr[itmp-1]='\0';
1.162     brouard  2463:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  2464:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  2465:       for(niterf=10;niterf<=30;niterf+=10){
1.241     brouard  2466:        rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   2467:        forecast_time = *localtime(&rforecast_time);
                   2468:        strcpy(strfor,asctime(&forecast_time));
                   2469:        itmp = strlen(strfor);
                   2470:        if(strfor[itmp-1]=='\n')
                   2471:          strfor[itmp-1]='\0';
                   2472:        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);
                   2473:        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  2474:       }
                   2475:     }
1.187     brouard  2476:     for (i=1;i<=n;i++) { /* For each direction i */
                   2477:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  2478:       fptt=(*fret); 
                   2479: #ifdef DEBUG
1.203     brouard  2480:       printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   2481:       fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  2482: #endif
1.203     brouard  2483:       printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  2484:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.224     brouard  2485: #ifdef LINMINORIGINAL
1.188     brouard  2486:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
1.224     brouard  2487: #else
                   2488:       linmin(p,xit,n,fret,func,&flat); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   2489:                        flatdir[i]=flat; /* Function is vanishing in that direction i */
                   2490: #endif
                   2491:                        /* Outputs are fret(new point p) p is updated and xit rescaled */
1.188     brouard  2492:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
1.224     brouard  2493:                                /* because that direction will be replaced unless the gain del is small */
                   2494:                                /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   2495:                                /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   2496:                                /* with the new direction. */
                   2497:                                del=fabs(fptt-(*fret)); 
                   2498:                                ibig=i; 
1.126     brouard  2499:       } 
                   2500: #ifdef DEBUG
                   2501:       printf("%d %.12e",i,(*fret));
                   2502:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   2503:       for (j=1;j<=n;j++) {
1.224     brouard  2504:                                xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   2505:                                printf(" x(%d)=%.12e",j,xit[j]);
                   2506:                                fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
1.126     brouard  2507:       }
                   2508:       for(j=1;j<=n;j++) {
1.225     brouard  2509:                                printf(" p(%d)=%.12e",j,p[j]);
                   2510:                                fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  2511:       }
                   2512:       printf("\n");
                   2513:       fprintf(ficlog,"\n");
                   2514: #endif
1.187     brouard  2515:     } /* end loop on each direction i */
                   2516:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  2517:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  2518:     /* New value of last point Pn is not computed, P(n-1) */
1.319     brouard  2519:     for(j=1;j<=n;j++) {
                   2520:       if(flatdir[j] >0){
                   2521:         printf(" p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2522:         fprintf(ficlog," p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
1.302     brouard  2523:       }
1.319     brouard  2524:       /* printf("\n"); */
                   2525:       /* fprintf(ficlog,"\n"); */
                   2526:     }
1.243     brouard  2527:     /* if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /\* Did we reach enough precision? *\/ */
                   2528:     if (2.0*fabs(fp-(*fret)) <= ftol) { /* Did we reach enough precision? */
1.188     brouard  2529:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   2530:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   2531:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   2532:       /* decreased of more than 3.84  */
                   2533:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   2534:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   2535:       /* By adding 10 parameters more the gain should be 18.31 */
1.224     brouard  2536:                        
1.188     brouard  2537:       /* Starting the program with initial values given by a former maximization will simply change */
                   2538:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   2539:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   2540:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  2541: #ifdef DEBUG
                   2542:       int k[2],l;
                   2543:       k[0]=1;
                   2544:       k[1]=-1;
                   2545:       printf("Max: %.12e",(*func)(p));
                   2546:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   2547:       for (j=1;j<=n;j++) {
                   2548:        printf(" %.12e",p[j]);
                   2549:        fprintf(ficlog," %.12e",p[j]);
                   2550:       }
                   2551:       printf("\n");
                   2552:       fprintf(ficlog,"\n");
                   2553:       for(l=0;l<=1;l++) {
                   2554:        for (j=1;j<=n;j++) {
                   2555:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   2556:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2557:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2558:        }
                   2559:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2560:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2561:       }
                   2562: #endif
                   2563: 
                   2564:       free_vector(xit,1,n); 
                   2565:       free_vector(xits,1,n); 
                   2566:       free_vector(ptt,1,n); 
                   2567:       free_vector(pt,1,n); 
                   2568:       return; 
1.192     brouard  2569:     } /* enough precision */ 
1.240     brouard  2570:     if (*iter == ITMAX*n) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  2571:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  2572:       ptt[j]=2.0*p[j]-pt[j]; 
                   2573:       xit[j]=p[j]-pt[j]; 
                   2574:       pt[j]=p[j]; 
                   2575:     } 
1.181     brouard  2576:     fptt=(*func)(ptt); /* f_3 */
1.224     brouard  2577: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
                   2578:                if (*iter <=4) {
1.225     brouard  2579: #else
                   2580: #endif
1.224     brouard  2581: #ifdef POWELLNOF3INFF1TEST    /* skips test F3 <F1 */
1.192     brouard  2582: #else
1.161     brouard  2583:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.192     brouard  2584: #endif
1.162     brouard  2585:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  2586:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  2587:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   2588:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   2589:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.224     brouard  2590:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del or directest <0 */
                   2591:       /* also  lamda^2=(f1-f2)^2/mu² is a parasite solution of powell */
                   2592:       /* For powell, inclusion of this average direction is only if t(del)<0 or del inbetween mu^2 and lambda^2 */
1.161     brouard  2593:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.224     brouard  2594:       /*  Even if f3 <f1, directest can be negative and t >0 */
                   2595:       /* mu² and del² are equal when f3=f1 */
                   2596:                        /* f3 < f1 : mu² < del <= lambda^2 both test are equivalent */
                   2597:                        /* f3 < f1 : mu² < lambda^2 < del then directtest is negative and powell t is positive */
                   2598:                        /* f3 > f1 : lambda² < mu^2 < del then t is negative and directest >0  */
                   2599:                        /* f3 > f1 : lambda² < del < mu^2 then t is positive and directest >0  */
1.183     brouard  2600: #ifdef NRCORIGINAL
                   2601:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   2602: #else
                   2603:       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  2604:       t= t- del*SQR(fp-fptt);
1.183     brouard  2605: #endif
1.202     brouard  2606:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
1.161     brouard  2607: #ifdef DEBUG
1.181     brouard  2608:       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);
                   2609:       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  2610:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2611:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2612:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2613:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2614:       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);
                   2615:       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);
                   2616: #endif
1.183     brouard  2617: #ifdef POWELLORIGINAL
                   2618:       if (t < 0.0) { /* Then we use it for new direction */
                   2619: #else
1.182     brouard  2620:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.224     brouard  2621:                                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  2622:         printf("f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
1.224     brouard  2623:         fprintf(ficlog,"directest= %.12lf (if directest<0 or t<0 we include P0 Pn as new direction), t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt, del);
1.192     brouard  2624:         fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   2625:       } 
1.181     brouard  2626:       if (directest < 0.0) { /* Then we use it for new direction */
                   2627: #endif
1.191     brouard  2628: #ifdef DEBUGLINMIN
1.234     brouard  2629:        printf("Before linmin in direction P%d-P0\n",n);
                   2630:        for (j=1;j<=n;j++) {
                   2631:          printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2632:          fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2633:          if(j % ncovmodel == 0){
                   2634:            printf("\n");
                   2635:            fprintf(ficlog,"\n");
                   2636:          }
                   2637:        }
1.224     brouard  2638: #endif
                   2639: #ifdef LINMINORIGINAL
1.234     brouard  2640:        linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
1.224     brouard  2641: #else
1.234     brouard  2642:        linmin(p,xit,n,fret,func,&flat); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                   2643:        flatdir[i]=flat; /* Function is vanishing in that direction i */
1.191     brouard  2644: #endif
1.234     brouard  2645:        
1.191     brouard  2646: #ifdef DEBUGLINMIN
1.234     brouard  2647:        for (j=1;j<=n;j++) { 
                   2648:          printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2649:          fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2650:          if(j % ncovmodel == 0){
                   2651:            printf("\n");
                   2652:            fprintf(ficlog,"\n");
                   2653:          }
                   2654:        }
1.224     brouard  2655: #endif
1.234     brouard  2656:        for (j=1;j<=n;j++) { 
                   2657:          xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   2658:          xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
                   2659:        }
1.224     brouard  2660: #ifdef LINMINORIGINAL
                   2661: #else
1.234     brouard  2662:        for (j=1, flatd=0;j<=n;j++) {
                   2663:          if(flatdir[j]>0)
                   2664:            flatd++;
                   2665:        }
                   2666:        if(flatd >0){
1.255     brouard  2667:          printf("%d flat directions: ",flatd);
                   2668:          fprintf(ficlog,"%d flat directions :",flatd);
1.234     brouard  2669:          for (j=1;j<=n;j++) { 
                   2670:            if(flatdir[j]>0){
                   2671:              printf("%d ",j);
                   2672:              fprintf(ficlog,"%d ",j);
                   2673:            }
                   2674:          }
                   2675:          printf("\n");
                   2676:          fprintf(ficlog,"\n");
1.319     brouard  2677: #ifdef FLATSUP
                   2678:           free_vector(xit,1,n); 
                   2679:           free_vector(xits,1,n); 
                   2680:           free_vector(ptt,1,n); 
                   2681:           free_vector(pt,1,n); 
                   2682:           return;
                   2683: #endif
1.234     brouard  2684:        }
1.191     brouard  2685: #endif
1.234     brouard  2686:        printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2687:        fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2688:        
1.126     brouard  2689: #ifdef DEBUG
1.234     brouard  2690:        printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2691:        fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2692:        for(j=1;j<=n;j++){
                   2693:          printf(" %lf",xit[j]);
                   2694:          fprintf(ficlog," %lf",xit[j]);
                   2695:        }
                   2696:        printf("\n");
                   2697:        fprintf(ficlog,"\n");
1.126     brouard  2698: #endif
1.192     brouard  2699:       } /* end of t or directest negative */
1.224     brouard  2700: #ifdef POWELLNOF3INFF1TEST
1.192     brouard  2701: #else
1.234     brouard  2702:       } /* end if (fptt < fp)  */
1.192     brouard  2703: #endif
1.225     brouard  2704: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
1.234     brouard  2705:     } /*NODIRECTIONCHANGEDUNTILNITER  No change in drections until some iterations are done */
1.225     brouard  2706: #else
1.224     brouard  2707: #endif
1.234     brouard  2708:                } /* loop iteration */ 
1.126     brouard  2709: } 
1.234     brouard  2710:   
1.126     brouard  2711: /**** Prevalence limit (stable or period prevalence)  ****************/
1.234     brouard  2712:   
1.235     brouard  2713:   double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int *ncvyear, int ij, int nres)
1.234     brouard  2714:   {
1.279     brouard  2715:     /**< Computes the prevalence limit in each live state at age x and for covariate combination ij 
                   2716:      *   (and selected quantitative values in nres)
                   2717:      *  by left multiplying the unit
                   2718:      *  matrix by transitions matrix until convergence is reached with precision ftolpl 
                   2719:      * Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I
                   2720:      * Wx is row vector: population in state 1, population in state 2, population dead
                   2721:      * or prevalence in state 1, prevalence in state 2, 0
                   2722:      * newm is the matrix after multiplications, its rows are identical at a factor.
                   2723:      * Inputs are the parameter, age, a tolerance for the prevalence limit ftolpl.
                   2724:      * Output is prlim.
                   2725:      * Initial matrix pimij 
                   2726:      */
1.206     brouard  2727:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2728:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2729:   /*  0,                   0                  , 1} */
                   2730:   /*
                   2731:    * and after some iteration: */
                   2732:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2733:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2734:   /*  0,                   0                  , 1} */
                   2735:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2736:   /* {0.51571254859325999, 0.4842874514067399, */
                   2737:   /*  0.51326036147820708, 0.48673963852179264} */
                   2738:   /* If we start from prlim again, prlim tends to a constant matrix */
1.234     brouard  2739:     
1.126     brouard  2740:   int i, ii,j,k;
1.209     brouard  2741:   double *min, *max, *meandiff, maxmax,sumnew=0.;
1.145     brouard  2742:   /* double **matprod2(); */ /* test */
1.218     brouard  2743:   double **out, cov[NCOVMAX+1], **pmij(); /* **pmmij is a global variable feeded with oldms etc */
1.126     brouard  2744:   double **newm;
1.209     brouard  2745:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
1.203     brouard  2746:   int ncvloop=0;
1.288     brouard  2747:   int first=0;
1.169     brouard  2748:   
1.209     brouard  2749:   min=vector(1,nlstate);
                   2750:   max=vector(1,nlstate);
                   2751:   meandiff=vector(1,nlstate);
                   2752: 
1.218     brouard  2753:        /* Starting with matrix unity */
1.126     brouard  2754:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2755:     for (j=1;j<=nlstate+ndeath;j++){
                   2756:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2757:     }
1.169     brouard  2758:   
                   2759:   cov[1]=1.;
                   2760:   
                   2761:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.202     brouard  2762:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.126     brouard  2763:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
1.202     brouard  2764:     ncvloop++;
1.126     brouard  2765:     newm=savm;
                   2766:     /* Covariates have to be included here again */
1.138     brouard  2767:     cov[2]=agefin;
1.319     brouard  2768:      if(nagesqr==1){
                   2769:       cov[3]= agefin*agefin;
                   2770:      }
1.234     brouard  2771:     for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   2772:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   2773:       cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
1.319     brouard  2774:       /* cov[++k1]=nbcode[TvarsD[k]][codtabm(ij,k)]; */
1.235     brouard  2775:       /* printf("prevalim Dummy combi=%d k=%d TvarsD[%d]=V%d TvarsDind[%d]=%d nbcode=%d cov=%lf codtabm(%d,Tvar[%d])=%d \n",ij,k, k, TvarsD[k],k,TvarsDind[k],nbcode[TvarsD[k]][codtabm(ij,k)],cov[2+nagesqr+TvarsDind[k]], ij, k, codtabm(ij,k)); */
1.234     brouard  2776:     }
                   2777:     for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   2778:                        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
1.319     brouard  2779:       cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k];
                   2780:       /* cov[++k1]=Tqresult[nres][k];  */
1.235     brouard  2781:       /* printf("prevalim Quantitative k=%d  TvarsQind[%d]=%d, TvarsQ[%d]=V%d,Tqresult[%d][%d]=%f\n",k,k,TvarsQind[k],k,TvarsQ[k],nres,k,Tqresult[nres][k]); */
1.138     brouard  2782:     }
1.237     brouard  2783:     for (k=1; k<=cptcovage;k++){  /* For product with age */
1.319     brouard  2784:       if(Dummy[Tage[k]]==2){ /* dummy with age */
1.234     brouard  2785:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
1.319     brouard  2786:        /* cov[++k1]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2]; */
                   2787:       } else if(Dummy[Tage[k]]==3){ /* quantitative with age */
                   2788:        cov[2+nagesqr+Tage[k]]=Tqresult[nres][k];
                   2789:        /* cov[++k1]=Tqresult[nres][k];  */
1.234     brouard  2790:       }
1.235     brouard  2791:       /* printf("prevalim Age combi=%d k=%d  Tage[%d]=V%d Tqresult[%d][%d]=%f\n",ij,k,k,Tage[k],nres,k,Tqresult[nres][k]); */
1.234     brouard  2792:     }
1.237     brouard  2793:     for (k=1; k<=cptcovprod;k++){ /* For product without age */
1.235     brouard  2794:       /* printf("prevalim Prod ij=%d k=%d  Tprod[%d]=%d Tvard[%d][1]=V%d, Tvard[%d][2]=V%d\n",ij,k,k,Tprod[k], k,Tvard[k][1], k,Tvard[k][2]); */
1.237     brouard  2795:       if(Dummy[Tvard[k][1]==0]){
                   2796:        if(Dummy[Tvard[k][2]==0]){
                   2797:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
1.319     brouard  2798:          /* cov[++k1]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)]; */
1.237     brouard  2799:        }else{
                   2800:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k];
1.319     brouard  2801:          /* cov[++k1]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k]; */
1.237     brouard  2802:        }
                   2803:       }else{
                   2804:        if(Dummy[Tvard[k][2]==0]){
                   2805:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]];
1.319     brouard  2806:          /* cov[++k1]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]]; */
1.237     brouard  2807:        }else{
                   2808:          cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]];
1.319     brouard  2809:          /* cov[++k1]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]]; */
1.237     brouard  2810:        }
                   2811:       }
1.234     brouard  2812:     }
1.138     brouard  2813:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2814:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2815:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  2816:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2817:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.319     brouard  2818:     /* age and covariate values of ij are in 'cov' */
1.142     brouard  2819:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  2820:     
1.126     brouard  2821:     savm=oldm;
                   2822:     oldm=newm;
1.209     brouard  2823: 
                   2824:     for(j=1; j<=nlstate; j++){
                   2825:       max[j]=0.;
                   2826:       min[j]=1.;
                   2827:     }
                   2828:     for(i=1;i<=nlstate;i++){
                   2829:       sumnew=0;
                   2830:       for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   2831:       for(j=1; j<=nlstate; j++){ 
                   2832:        prlim[i][j]= newm[i][j]/(1-sumnew);
                   2833:        max[j]=FMAX(max[j],prlim[i][j]);
                   2834:        min[j]=FMIN(min[j],prlim[i][j]);
                   2835:       }
                   2836:     }
                   2837: 
1.126     brouard  2838:     maxmax=0.;
1.209     brouard  2839:     for(j=1; j<=nlstate; j++){
                   2840:       meandiff[j]=(max[j]-min[j])/(max[j]+min[j])*2.; /* mean difference for each column */
                   2841:       maxmax=FMAX(maxmax,meandiff[j]);
                   2842:       /* printf(" age= %d meandiff[%d]=%f, agefin=%d max[%d]=%f min[%d]=%f maxmax=%f\n", (int)age, j, meandiff[j],(int)agefin, j, max[j], j, min[j],maxmax); */
1.169     brouard  2843:     } /* j loop */
1.203     brouard  2844:     *ncvyear= (int)age- (int)agefin;
1.208     brouard  2845:     /* printf("maxmax=%lf maxmin=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, maxmin, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.126     brouard  2846:     if(maxmax < ftolpl){
1.209     brouard  2847:       /* printf("maxmax=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
                   2848:       free_vector(min,1,nlstate);
                   2849:       free_vector(max,1,nlstate);
                   2850:       free_vector(meandiff,1,nlstate);
1.126     brouard  2851:       return prlim;
                   2852:     }
1.288     brouard  2853:   } /* agefin loop */
1.208     brouard  2854:     /* After some age loop it doesn't converge */
1.288     brouard  2855:   if(!first){
                   2856:     first=1;
                   2857:     printf("Warning: the stable prevalence at age %d did not converge with the required precision (%g > ftolpl=%g) within %.d years and %d loops. Try to lower 'ftolpl'. Youngest age to start was %d=(%d-%d). Others in log file only...\n", (int)age, maxmax, ftolpl, *ncvyear, ncvloop, (int)(agefin+stepm/YEARM),  (int)(age-stepm/YEARM), (int)delaymax);
1.317     brouard  2858:     fprintf(ficlog, "Warning: the stable prevalence at age %d did not converge with the required precision (%g > ftolpl=%g) within %.d years and %d loops. Try to lower 'ftolpl'. Youngest age to start was %d=(%d-%d).\n", (int)age, maxmax, ftolpl, *ncvyear, ncvloop, (int)(agefin+stepm/YEARM),  (int)(age-stepm/YEARM), (int)delaymax);
                   2859:   }else if (first >=1 && first <10){
                   2860:     fprintf(ficlog, "Warning: the stable prevalence at age %d did not converge with the required precision (%g > ftolpl=%g) within %.d years and %d loops. Try to lower 'ftolpl'. Youngest age to start was %d=(%d-%d).\n", (int)age, maxmax, ftolpl, *ncvyear, ncvloop, (int)(agefin+stepm/YEARM),  (int)(age-stepm/YEARM), (int)delaymax);
                   2861:     first++;
                   2862:   }else if (first ==10){
                   2863:     fprintf(ficlog, "Warning: the stable prevalence at age %d did not converge with the required precision (%g > ftolpl=%g) within %.d years and %d loops. Try to lower 'ftolpl'. Youngest age to start was %d=(%d-%d).\n", (int)age, maxmax, ftolpl, *ncvyear, ncvloop, (int)(agefin+stepm/YEARM),  (int)(age-stepm/YEARM), (int)delaymax);
                   2864:     printf("Warning: the stable prevalence dit not converge. This warning came too often, IMaCh will stop notifying, even in its log file. Look at the graphs to appreciate the non convergence.\n");
                   2865:     fprintf(ficlog,"Warning: the stable prevalence no convergence; too many cases, giving up noticing, even in log file\n");
                   2866:     first++;
1.288     brouard  2867:   }
                   2868: 
1.209     brouard  2869:   /* 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); */
                   2870:   free_vector(min,1,nlstate);
                   2871:   free_vector(max,1,nlstate);
                   2872:   free_vector(meandiff,1,nlstate);
1.208     brouard  2873:   
1.169     brouard  2874:   return prlim; /* should not reach here */
1.126     brouard  2875: }
                   2876: 
1.217     brouard  2877: 
                   2878:  /**** Back Prevalence limit (stable or period prevalence)  ****************/
                   2879: 
1.218     brouard  2880:  /* double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ageminpar, double agemaxpar, double **oldm, double **savm, double **dnewm, double **doldm, double **dsavm, double ftolpl, int *ncvyear, int ij) */
                   2881:  /* double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double **oldm, double **savm, double **dnewm, double **doldm, double **dsavm, double ftolpl, int *ncvyear, int ij) */
1.242     brouard  2882:   double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ftolpl, int *ncvyear, int ij, int nres)
1.217     brouard  2883: {
1.264     brouard  2884:   /* Computes the prevalence limit in each live state at age x and for covariate combination ij (<=2**cptcoveff) by left multiplying the unit
1.217     brouard  2885:      matrix by transitions matrix until convergence is reached with precision ftolpl */
                   2886:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2887:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2888:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2889:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2890:   /* Initial matrix pimij */
                   2891:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2892:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2893:   /*  0,                   0                  , 1} */
                   2894:   /*
                   2895:    * and after some iteration: */
                   2896:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2897:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2898:   /*  0,                   0                  , 1} */
                   2899:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2900:   /* {0.51571254859325999, 0.4842874514067399, */
                   2901:   /*  0.51326036147820708, 0.48673963852179264} */
                   2902:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2903: 
                   2904:   int i, ii,j,k;
1.247     brouard  2905:   int first=0;
1.217     brouard  2906:   double *min, *max, *meandiff, maxmax,sumnew=0.;
                   2907:   /* double **matprod2(); */ /* test */
                   2908:   double **out, cov[NCOVMAX+1], **bmij();
                   2909:   double **newm;
1.218     brouard  2910:   double        **dnewm, **doldm, **dsavm;  /* for use */
                   2911:   double        **oldm, **savm;  /* for use */
                   2912: 
1.217     brouard  2913:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
                   2914:   int ncvloop=0;
                   2915:   
                   2916:   min=vector(1,nlstate);
                   2917:   max=vector(1,nlstate);
                   2918:   meandiff=vector(1,nlstate);
                   2919: 
1.266     brouard  2920:   dnewm=ddnewms; doldm=ddoldms; dsavm=ddsavms;
                   2921:   oldm=oldms; savm=savms;
                   2922:   
                   2923:   /* Starting with matrix unity */
                   2924:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2925:     for (j=1;j<=nlstate+ndeath;j++){
1.217     brouard  2926:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2927:     }
                   2928:   
                   2929:   cov[1]=1.;
                   2930:   
                   2931:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2932:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.218     brouard  2933:   /* for(agefin=age+stepm/YEARM; agefin<=age+delaymax; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
1.288     brouard  2934:   /* for(agefin=age; agefin<AGESUP; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
                   2935:   for(agefin=age; agefin<FMIN(AGESUP,age+delaymax); agefin=agefin+stepm/YEARM){ /* A changer en age */
1.217     brouard  2936:     ncvloop++;
1.218     brouard  2937:     newm=savm; /* oldm should be kept from previous iteration or unity at start */
                   2938:                /* newm points to the allocated table savm passed by the function it can be written, savm could be reallocated */
1.217     brouard  2939:     /* Covariates have to be included here again */
                   2940:     cov[2]=agefin;
1.319     brouard  2941:     if(nagesqr==1){
1.217     brouard  2942:       cov[3]= agefin*agefin;;
1.319     brouard  2943:     }
1.242     brouard  2944:     for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   2945:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   2946:       cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
1.264     brouard  2947:       /* printf("bprevalim Dummy agefin=%.0f combi=%d k=%d TvarsD[%d]=V%d TvarsDind[%d]=%d nbcode=%d cov[%d]=%lf codtabm(%d,Tvar[%d])=%d \n",agefin,ij,k, k, TvarsD[k],k,TvarsDind[k],nbcode[TvarsD[k]][codtabm(ij,k)],2+nagesqr+TvarsDind[k],cov[2+nagesqr+TvarsDind[k]], ij, k, codtabm(ij,k)); */
1.242     brouard  2948:     }
                   2949:     /* for (k=1; k<=cptcovn;k++) { */
                   2950:     /*   /\* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; *\/ */
                   2951:     /*   cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   2952:     /*   /\* 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])]); *\/ */
                   2953:     /* } */
                   2954:     for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   2955:                        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   2956:       cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   2957:       /* printf("prevalim Quantitative k=%d  TvarsQind[%d]=%d, TvarsQ[%d]=V%d,Tqresult[%d][%d]=%f\n",k,k,TvarsQind[k],k,TvarsQ[k],nres,k,Tqresult[nres][k]); */
                   2958:     }
                   2959:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2]; */
                   2960:     /* for (k=1; k<=cptcovprod;k++) /\* Useless *\/ */
                   2961:     /*   /\* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; *\/ */
                   2962:     /*   cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)]; */
                   2963:     for (k=1; k<=cptcovage;k++){  /* For product with age */
1.319     brouard  2964:       /* if(Dummy[Tvar[Tage[k]]]== 2){ /\* dummy with age *\/ ERROR ???*/
                   2965:       if(Dummy[Tage[k]]== 2){ /* dummy with age */
1.242     brouard  2966:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
1.319     brouard  2967:       } else if(Dummy[Tage[k]]== 3){ /* quantitative with age */
                   2968:        cov[2+nagesqr+Tage[k]]=Tqresult[nres][k];
1.242     brouard  2969:       }
                   2970:       /* printf("prevalim Age combi=%d k=%d  Tage[%d]=V%d Tqresult[%d][%d]=%f\n",ij,k,k,Tage[k],nres,k,Tqresult[nres][k]); */
                   2971:     }
                   2972:     for (k=1; k<=cptcovprod;k++){ /* For product without age */
                   2973:       /* printf("prevalim Prod ij=%d k=%d  Tprod[%d]=%d Tvard[%d][1]=V%d, Tvard[%d][2]=V%d\n",ij,k,k,Tprod[k], k,Tvard[k][1], k,Tvard[k][2]); */
                   2974:       if(Dummy[Tvard[k][1]==0]){
                   2975:        if(Dummy[Tvard[k][2]==0]){
                   2976:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2977:        }else{
                   2978:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k];
                   2979:        }
                   2980:       }else{
                   2981:        if(Dummy[Tvard[k][2]==0]){
                   2982:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]];
                   2983:        }else{
                   2984:          cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]];
                   2985:        }
                   2986:       }
1.217     brouard  2987:     }
                   2988:     
                   2989:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2990:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2991:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
                   2992:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2993:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2994:                /* ij should be linked to the correct index of cov */
                   2995:                /* age and covariate values ij are in 'cov', but we need to pass
                   2996:                 * ij for the observed prevalence at age and status and covariate
                   2997:                 * number:  prevacurrent[(int)agefin][ii][ij]
                   2998:                 */
                   2999:     /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, ageminpar, agemaxpar, dnewm, doldm, dsavm,ij)); /\* Bug Valgrind *\/ */
                   3000:     /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij)); /\* Bug Valgrind *\/ */
                   3001:     out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij)); /* Bug Valgrind */
1.268     brouard  3002:     /* if((int)age == 86 || (int)age == 87){ */
1.266     brouard  3003:     /*   printf(" Backward prevalim age=%d agefin=%d \n", (int) age, (int) agefin); */
                   3004:     /*   for(i=1; i<=nlstate+ndeath; i++) { */
                   3005:     /*         printf("%d newm= ",i); */
                   3006:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3007:     /*           printf("%f ",newm[i][j]); */
                   3008:     /*         } */
                   3009:     /*         printf("oldm * "); */
                   3010:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3011:     /*           printf("%f ",oldm[i][j]); */
                   3012:     /*         } */
1.268     brouard  3013:     /*         printf(" bmmij "); */
1.266     brouard  3014:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3015:     /*           printf("%f ",pmmij[i][j]); */
                   3016:     /*         } */
                   3017:     /*         printf("\n"); */
                   3018:     /*   } */
                   3019:     /* } */
1.217     brouard  3020:     savm=oldm;
                   3021:     oldm=newm;
1.266     brouard  3022: 
1.217     brouard  3023:     for(j=1; j<=nlstate; j++){
                   3024:       max[j]=0.;
                   3025:       min[j]=1.;
                   3026:     }
                   3027:     for(j=1; j<=nlstate; j++){ 
                   3028:       for(i=1;i<=nlstate;i++){
1.234     brouard  3029:        /* bprlim[i][j]= newm[i][j]/(1-sumnew); */
                   3030:        bprlim[i][j]= newm[i][j];
                   3031:        max[i]=FMAX(max[i],bprlim[i][j]); /* Max in line */
                   3032:        min[i]=FMIN(min[i],bprlim[i][j]);
1.217     brouard  3033:       }
                   3034:     }
1.218     brouard  3035:                
1.217     brouard  3036:     maxmax=0.;
                   3037:     for(i=1; i<=nlstate; i++){
1.318     brouard  3038:       meandiff[i]=(max[i]-min[i])/(max[i]+min[i])*2.; /* mean difference for each column, could be nan! */
1.217     brouard  3039:       maxmax=FMAX(maxmax,meandiff[i]);
                   3040:       /* printf("Back age= %d meandiff[%d]=%f, agefin=%d max[%d]=%f min[%d]=%f maxmax=%f\n", (int)age, i, meandiff[i],(int)agefin, i, max[i], i, min[i],maxmax); */
1.268     brouard  3041:     } /* i loop */
1.217     brouard  3042:     *ncvyear= -( (int)age- (int)agefin);
1.268     brouard  3043:     /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  3044:     if(maxmax < ftolpl){
1.220     brouard  3045:       /* printf("OK Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  3046:       free_vector(min,1,nlstate);
                   3047:       free_vector(max,1,nlstate);
                   3048:       free_vector(meandiff,1,nlstate);
                   3049:       return bprlim;
                   3050:     }
1.288     brouard  3051:   } /* agefin loop */
1.217     brouard  3052:     /* After some age loop it doesn't converge */
1.288     brouard  3053:   if(!first){
1.247     brouard  3054:     first=1;
                   3055:     printf("Warning: the back stable prevalence at age %d did not converge with the required precision (%g > ftolpl=%g) within %.0f years. Try to lower 'ftolpl'. Others in log file only...\n\
                   3056: Oldest age to start was %d-%d=%d, ncvloop=%d, ncvyear=%d\n", (int)age, maxmax, ftolpl, delaymax, (int)age, (int)delaymax, (int)agefin, ncvloop, *ncvyear);
                   3057:   }
                   3058:   fprintf(ficlog,"Warning: the back stable prevalence at age %d did not converge with the required precision (%g > ftolpl=%g) within %.0f years. Try to lower 'ftolpl'. \n\
1.217     brouard  3059: Oldest age to start was %d-%d=%d, ncvloop=%d, ncvyear=%d\n", (int)age, maxmax, ftolpl, delaymax, (int)age, (int)delaymax, (int)agefin, ncvloop, *ncvyear);
                   3060:   /* 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); */
                   3061:   free_vector(min,1,nlstate);
                   3062:   free_vector(max,1,nlstate);
                   3063:   free_vector(meandiff,1,nlstate);
                   3064:   
                   3065:   return bprlim; /* should not reach here */
                   3066: }
                   3067: 
1.126     brouard  3068: /*************** transition probabilities ***************/ 
                   3069: 
                   3070: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   3071: {
1.138     brouard  3072:   /* According to parameters values stored in x and the covariate's values stored in cov,
1.266     brouard  3073:      computes the probability to be observed in state j (after stepm years) being in state i by appying the
1.138     brouard  3074:      model to the ncovmodel covariates (including constant and age).
                   3075:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   3076:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   3077:      ncth covariate in the global vector x is given by the formula:
                   3078:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   3079:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   3080:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   3081:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
1.266     brouard  3082:      Outputs ps[i][j] or probability to be observed in j being in i according to
1.138     brouard  3083:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
1.266     brouard  3084:      Sum on j ps[i][j] should equal to 1.
1.138     brouard  3085:   */
                   3086:   double s1, lnpijopii;
1.126     brouard  3087:   /*double t34;*/
1.164     brouard  3088:   int i,j, nc, ii, jj;
1.126     brouard  3089: 
1.223     brouard  3090:   for(i=1; i<= nlstate; i++){
                   3091:     for(j=1; j<i;j++){
                   3092:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   3093:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   3094:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   3095:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   3096:       }
                   3097:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   3098:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   3099:     }
                   3100:     for(j=i+1; j<=nlstate+ndeath;j++){
                   3101:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   3102:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   3103:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   3104:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   3105:       }
                   3106:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   3107:     }
                   3108:   }
1.218     brouard  3109:   
1.223     brouard  3110:   for(i=1; i<= nlstate; i++){
                   3111:     s1=0;
                   3112:     for(j=1; j<i; j++){
                   3113:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   3114:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   3115:     }
                   3116:     for(j=i+1; j<=nlstate+ndeath; j++){
                   3117:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   3118:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   3119:     }
                   3120:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   3121:     ps[i][i]=1./(s1+1.);
                   3122:     /* Computing other pijs */
                   3123:     for(j=1; j<i; j++)
                   3124:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3125:     for(j=i+1; j<=nlstate+ndeath; j++)
                   3126:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3127:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   3128:   } /* end i */
1.218     brouard  3129:   
1.223     brouard  3130:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   3131:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   3132:       ps[ii][jj]=0;
                   3133:       ps[ii][ii]=1;
                   3134:     }
                   3135:   }
1.294     brouard  3136: 
                   3137: 
1.223     brouard  3138:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   3139:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   3140:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   3141:   /*   } */
                   3142:   /*   printf("\n "); */
                   3143:   /* } */
                   3144:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   3145:   /*
                   3146:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
1.218     brouard  3147:                goto end;*/
1.266     brouard  3148:   return ps; /* Pointer is unchanged since its call */
1.126     brouard  3149: }
                   3150: 
1.218     brouard  3151: /*************** backward transition probabilities ***************/ 
                   3152: 
                   3153:  /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ageminpar, double agemaxpar, double ***dnewm, double **doldm, double **dsavm, int ij ) */
                   3154: /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ***dnewm, double **doldm, double **dsavm, int ij ) */
                   3155:  double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, int ij )
                   3156: {
1.302     brouard  3157:   /* Computes the backward probability at age agefin, cov[2], and covariate combination 'ij'. In fact cov is already filled and x too.
1.266     brouard  3158:    * Call to pmij(cov and x), call to cross prevalence, sums and inverses, left multiply, and returns in **ps as well as **bmij.
1.222     brouard  3159:    */
1.218     brouard  3160:   int i, ii, j,k;
1.222     brouard  3161:   
                   3162:   double **out, **pmij();
                   3163:   double sumnew=0.;
1.218     brouard  3164:   double agefin;
1.292     brouard  3165:   double k3=0.; /* constant of the w_x diagonal matrix (in order for B to sum to 1 even for death state) */
1.222     brouard  3166:   double **dnewm, **dsavm, **doldm;
                   3167:   double **bbmij;
                   3168:   
1.218     brouard  3169:   doldm=ddoldms; /* global pointers */
1.222     brouard  3170:   dnewm=ddnewms;
                   3171:   dsavm=ddsavms;
1.318     brouard  3172: 
                   3173:   /* Debug */
                   3174:   /* printf("Bmij ij=%d, cov[2}=%f\n", ij, cov[2]); */
1.222     brouard  3175:   agefin=cov[2];
1.268     brouard  3176:   /* Bx = Diag(w_x) P_x Diag(Sum_i w^i_x p^ij_x */
1.222     brouard  3177:   /* bmij *//* age is cov[2], ij is included in cov, but we need for
1.266     brouard  3178:      the observed prevalence (with this covariate ij) at beginning of transition */
                   3179:   /* dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
1.268     brouard  3180: 
                   3181:   /* P_x */
1.266     brouard  3182:   pmmij=pmij(pmmij,cov,ncovmodel,x,nlstate); /*This is forward probability from agefin to agefin + stepm */
1.268     brouard  3183:   /* outputs pmmij which is a stochastic matrix in row */
                   3184: 
                   3185:   /* Diag(w_x) */
1.292     brouard  3186:   /* Rescaling the cross-sectional prevalence: Problem with prevacurrent which can be zero */
1.268     brouard  3187:   sumnew=0.;
1.269     brouard  3188:   /*for (ii=1;ii<=nlstate+ndeath;ii++){*/
1.268     brouard  3189:   for (ii=1;ii<=nlstate;ii++){ /* Only on live states */
1.297     brouard  3190:     /* printf(" agefin=%d, ii=%d, ij=%d, prev=%f\n",(int)agefin,ii, ij, prevacurrent[(int)agefin][ii][ij]); */
1.268     brouard  3191:     sumnew+=prevacurrent[(int)agefin][ii][ij];
                   3192:   }
                   3193:   if(sumnew >0.01){  /* At least some value in the prevalence */
                   3194:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   3195:       for (j=1;j<=nlstate+ndeath;j++)
1.269     brouard  3196:        doldm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij]/sumnew : 0.0);
1.268     brouard  3197:     }
                   3198:   }else{
                   3199:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   3200:       for (j=1;j<=nlstate+ndeath;j++)
                   3201:       doldm[ii][j]=(ii==j ? 1./nlstate : 0.0);
                   3202:     }
                   3203:     /* if(sumnew <0.9){ */
                   3204:     /*   printf("Problem internal bmij B: sum on i wi <0.9: j=%d, sum_i wi=%lf,agefin=%d\n",j,sumnew, (int)agefin); */
                   3205:     /* } */
                   3206:   }
                   3207:   k3=0.0;  /* We put the last diagonal to 0 */
                   3208:   for (ii=nlstate+1;ii<=nlstate+ndeath;ii++){
                   3209:       doldm[ii][ii]= k3;
                   3210:   }
                   3211:   /* End doldm, At the end doldm is diag[(w_i)] */
                   3212:   
1.292     brouard  3213:   /* Left product of this diag matrix by pmmij=Px (dnewm=dsavm*doldm): diag[(w_i)*Px */
                   3214:   bbmij=matprod2(dnewm, doldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, pmmij); /* was a Bug Valgrind */
1.268     brouard  3215: 
1.292     brouard  3216:   /* Diag(Sum_i w^i_x p^ij_x, should be the prevalence at age x+stepm */
1.268     brouard  3217:   /* w1 p11 + w2 p21 only on live states N1./N..*N11/N1. + N2./N..*N21/N2.=(N11+N21)/N..=N.1/N.. */
1.222     brouard  3218:   for (j=1;j<=nlstate+ndeath;j++){
1.268     brouard  3219:     sumnew=0.;
1.222     brouard  3220:     for (ii=1;ii<=nlstate;ii++){
1.266     brouard  3221:       /* sumnew+=dsavm[ii][j]*prevacurrent[(int)agefin][ii][ij]; */
1.268     brouard  3222:       sumnew+=pmmij[ii][j]*doldm[ii][ii]; /* Yes prevalence at beginning of transition */
1.222     brouard  3223:     } /* sumnew is (N11+N21)/N..= N.1/N.. = sum on i of w_i pij */
1.268     brouard  3224:     for (ii=1;ii<=nlstate+ndeath;ii++){
1.222     brouard  3225:        /* if(agefin >= agemaxpar && agefin <= agemaxpar+stepm/YEARM){ */
1.268     brouard  3226:        /*      dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
1.222     brouard  3227:        /* }else if(agefin >= agemaxpar+stepm/YEARM){ */
1.268     brouard  3228:        /*      dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
1.222     brouard  3229:        /* }else */
1.268     brouard  3230:       dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0);
                   3231:     } /*End ii */
                   3232:   } /* End j, At the end dsavm is diag[1/(w_1p1i+w_2 p2i)] for ALL states even if the sum is only for live states */
                   3233: 
1.292     brouard  3234:   ps=matprod2(ps, dnewm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dsavm); /* was a Bug Valgrind */
1.268     brouard  3235:   /* ps is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */
1.222     brouard  3236:   /* end bmij */
1.266     brouard  3237:   return ps; /*pointer is unchanged */
1.218     brouard  3238: }
1.217     brouard  3239: /*************** transition probabilities ***************/ 
                   3240: 
1.218     brouard  3241: double **bpmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
1.217     brouard  3242: {
                   3243:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   3244:      computes the probability to be observed in state j being in state i by appying the
                   3245:      model to the ncovmodel covariates (including constant and age).
                   3246:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   3247:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   3248:      ncth covariate in the global vector x is given by the formula:
                   3249:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   3250:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   3251:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   3252:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   3253:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   3254:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   3255:   */
                   3256:   double s1, lnpijopii;
                   3257:   /*double t34;*/
                   3258:   int i,j, nc, ii, jj;
                   3259: 
1.234     brouard  3260:   for(i=1; i<= nlstate; i++){
                   3261:     for(j=1; j<i;j++){
                   3262:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   3263:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   3264:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   3265:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   3266:       }
                   3267:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   3268:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   3269:     }
                   3270:     for(j=i+1; j<=nlstate+ndeath;j++){
                   3271:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   3272:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   3273:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   3274:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   3275:       }
                   3276:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   3277:     }
                   3278:   }
                   3279:   
                   3280:   for(i=1; i<= nlstate; i++){
                   3281:     s1=0;
                   3282:     for(j=1; j<i; j++){
                   3283:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   3284:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   3285:     }
                   3286:     for(j=i+1; j<=nlstate+ndeath; j++){
                   3287:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   3288:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   3289:     }
                   3290:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   3291:     ps[i][i]=1./(s1+1.);
                   3292:     /* Computing other pijs */
                   3293:     for(j=1; j<i; j++)
                   3294:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3295:     for(j=i+1; j<=nlstate+ndeath; j++)
                   3296:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3297:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   3298:   } /* end i */
                   3299:   
                   3300:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   3301:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   3302:       ps[ii][jj]=0;
                   3303:       ps[ii][ii]=1;
                   3304:     }
                   3305:   }
1.296     brouard  3306:   /* Added for prevbcast */ /* Transposed matrix too */
1.234     brouard  3307:   for(jj=1; jj<= nlstate+ndeath; jj++){
                   3308:     s1=0.;
                   3309:     for(ii=1; ii<= nlstate+ndeath; ii++){
                   3310:       s1+=ps[ii][jj];
                   3311:     }
                   3312:     for(ii=1; ii<= nlstate; ii++){
                   3313:       ps[ii][jj]=ps[ii][jj]/s1;
                   3314:     }
                   3315:   }
                   3316:   /* Transposition */
                   3317:   for(jj=1; jj<= nlstate+ndeath; jj++){
                   3318:     for(ii=jj; ii<= nlstate+ndeath; ii++){
                   3319:       s1=ps[ii][jj];
                   3320:       ps[ii][jj]=ps[jj][ii];
                   3321:       ps[jj][ii]=s1;
                   3322:     }
                   3323:   }
                   3324:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   3325:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   3326:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   3327:   /*   } */
                   3328:   /*   printf("\n "); */
                   3329:   /* } */
                   3330:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   3331:   /*
                   3332:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   3333:     goto end;*/
                   3334:   return ps;
1.217     brouard  3335: }
                   3336: 
                   3337: 
1.126     brouard  3338: /**************** Product of 2 matrices ******************/
                   3339: 
1.145     brouard  3340: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  3341: {
                   3342:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   3343:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   3344:   /* in, b, out are matrice of pointers which should have been initialized 
                   3345:      before: only the contents of out is modified. The function returns
                   3346:      a pointer to pointers identical to out */
1.145     brouard  3347:   int i, j, k;
1.126     brouard  3348:   for(i=nrl; i<= nrh; i++)
1.145     brouard  3349:     for(k=ncolol; k<=ncoloh; k++){
                   3350:       out[i][k]=0.;
                   3351:       for(j=ncl; j<=nch; j++)
                   3352:        out[i][k] +=in[i][j]*b[j][k];
                   3353:     }
1.126     brouard  3354:   return out;
                   3355: }
                   3356: 
                   3357: 
                   3358: /************* Higher Matrix Product ***************/
                   3359: 
1.235     brouard  3360: double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij, int nres )
1.126     brouard  3361: {
1.218     brouard  3362:   /* Computes the transition matrix starting at age 'age' and combination of covariate values corresponding to ij over 
1.126     brouard  3363:      'nhstepm*hstepm*stepm' months (i.e. until
                   3364:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   3365:      nhstepm*hstepm matrices. 
                   3366:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   3367:      (typically every 2 years instead of every month which is too big 
                   3368:      for the memory).
                   3369:      Model is determined by parameters x and covariates have to be 
                   3370:      included manually here. 
                   3371: 
                   3372:      */
                   3373: 
                   3374:   int i, j, d, h, k;
1.131     brouard  3375:   double **out, cov[NCOVMAX+1];
1.126     brouard  3376:   double **newm;
1.187     brouard  3377:   double agexact;
1.214     brouard  3378:   double agebegin, ageend;
1.126     brouard  3379: 
                   3380:   /* Hstepm could be zero and should return the unit matrix */
                   3381:   for (i=1;i<=nlstate+ndeath;i++)
                   3382:     for (j=1;j<=nlstate+ndeath;j++){
                   3383:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   3384:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   3385:     }
                   3386:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   3387:   for(h=1; h <=nhstepm; h++){
                   3388:     for(d=1; d <=hstepm; d++){
                   3389:       newm=savm;
                   3390:       /* Covariates have to be included here again */
                   3391:       cov[1]=1.;
1.214     brouard  3392:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
1.187     brouard  3393:       cov[2]=agexact;
1.319     brouard  3394:       if(nagesqr==1){
1.227     brouard  3395:        cov[3]= agexact*agexact;
1.319     brouard  3396:       }
1.235     brouard  3397:       for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
1.319     brouard  3398: /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   3399:        /* codtabm(ij,k)  (1 & (ij-1) >> (k-1))+1 */
                   3400: /*             V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   3401: /*    k        1  2   3   4     5    6    7     8    9 */
                   3402: /*Tvar[k]=     5  4   3   6     5    2    7     1    1 */
                   3403: /*    nsd         1   2                              3 */ /* Counting single dummies covar fixed or tv */
                   3404: /*TvarsD[nsd]     4   3                              1 */ /* ID of single dummy cova fixed or timevary*/
                   3405: /*TvarsDind[k]    2   3                              9 */ /* position K of single dummy cova */
1.235     brouard  3406:        cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
                   3407:        /* printf("hpxij Dummy combi=%d k=%d TvarsD[%d]=V%d TvarsDind[%d]=%d nbcode=%d cov=%lf codtabm(%d,Tvar[%d])=%d \n",ij,k, k, TvarsD[k],k,TvarsDind[k],nbcode[TvarsD[k]][codtabm(ij,k)],cov[2+nagesqr+TvarsDind[k]], ij, k, codtabm(ij,k)); */
                   3408:       }
                   3409:       for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   3410:        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
1.319     brouard  3411:        cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k];
1.235     brouard  3412:        /* printf("hPxij Quantitative k=%d  TvarsQind[%d]=%d, TvarsQ[%d]=V%d,Tqresult[%d][%d]=%f\n",k,k,TvarsQind[k],k,TvarsQ[k],nres,k,Tqresult[nres][k]); */
                   3413:       }
1.319     brouard  3414:       for (k=1; k<=cptcovage;k++){ /* For product with age V1+V1*age +V4 +age*V3 */
                   3415:        /* 1+2 Tage[1]=2 TVar[2]=1 Dummy[2]=2, Tage[2]=4 TVar[4]=3 Dummy[4]=3 quant*/
                   3416:        /* */
                   3417:        if(Dummy[Tage[k]]== 2){ /* dummy with age */
                   3418:        /* if(Dummy[Tvar[Tage[k]]]== 2){ /\* dummy with age *\/ */
1.235     brouard  3419:          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
1.319     brouard  3420:        } else if(Dummy[Tage[k]]== 3){ /* quantitative with age */
                   3421:          cov[2+nagesqr+Tage[k]]=Tqresult[nres][k];
1.235     brouard  3422:        }
                   3423:        /* printf("hPxij Age combi=%d k=%d  Tage[%d]=V%d Tqresult[%d][%d]=%f\n",ij,k,k,Tage[k],nres,k,Tqresult[nres][k]); */
                   3424:       }
1.319     brouard  3425:       for (k=1; k<=cptcovprod;k++){ /*  For product without age */
1.235     brouard  3426:        /* printf("hPxij Prod ij=%d k=%d  Tprod[%d]=%d Tvard[%d][1]=V%d, Tvard[%d][2]=V%d\n",ij,k,k,Tprod[k], k,Tvard[k][1], k,Tvard[k][2]); */
1.319     brouard  3427:        /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)]; */
                   3428:        if(Dummy[Tvard[k][1]==0]){
                   3429:          if(Dummy[Tvard[k][2]==0]){
                   3430:            cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   3431:          }else{
                   3432:            cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k];
                   3433:          }
                   3434:        }else{
                   3435:          if(Dummy[Tvard[k][2]==0]){
                   3436:            cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]];
                   3437:          }else{
                   3438:            cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]];
                   3439:          }
                   3440:        }
1.235     brouard  3441:       }
                   3442:       /* for (k=1; k<=cptcovn;k++)  */
                   3443:       /*       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   3444:       /* for (k=1; k<=cptcovage;k++) /\* Should start at cptcovn+1 *\/ */
                   3445:       /*       cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2]; */
                   3446:       /* for (k=1; k<=cptcovprod;k++) /\* Useless because included in cptcovn *\/ */
                   3447:       /*       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)]; */
1.227     brouard  3448:       
                   3449:       
1.126     brouard  3450:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   3451:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.319     brouard  3452:       /* right multiplication of oldm by the current matrix */
1.126     brouard  3453:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   3454:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
1.217     brouard  3455:       /* if((int)age == 70){ */
                   3456:       /*       printf(" Forward hpxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   3457:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   3458:       /*         printf("%d pmmij ",i); */
                   3459:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3460:       /*           printf("%f ",pmmij[i][j]); */
                   3461:       /*         } */
                   3462:       /*         printf(" oldm "); */
                   3463:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3464:       /*           printf("%f ",oldm[i][j]); */
                   3465:       /*         } */
                   3466:       /*         printf("\n"); */
                   3467:       /*       } */
                   3468:       /* } */
1.126     brouard  3469:       savm=oldm;
                   3470:       oldm=newm;
                   3471:     }
                   3472:     for(i=1; i<=nlstate+ndeath; i++)
                   3473:       for(j=1;j<=nlstate+ndeath;j++) {
1.267     brouard  3474:        po[i][j][h]=newm[i][j];
                   3475:        /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  3476:       }
1.128     brouard  3477:     /*printf("h=%d ",h);*/
1.126     brouard  3478:   } /* end h */
1.267     brouard  3479:   /*     printf("\n H=%d \n",h); */
1.126     brouard  3480:   return po;
                   3481: }
                   3482: 
1.217     brouard  3483: /************* Higher Back Matrix Product ***************/
1.218     brouard  3484: /* double ***hbxij(double ***po, int nhstepm, double age, int hstepm, double *x, double ***prevacurrent, int nlstate, int stepm, double **oldm, double **savm, double **dnewm, double **doldm, double **dsavm, int ij ) */
1.267     brouard  3485: double ***hbxij(double ***po, int nhstepm, double age, int hstepm, double *x, double ***prevacurrent, int nlstate, int stepm, int ij, int nres )
1.217     brouard  3486: {
1.266     brouard  3487:   /* For a combination of dummy covariate ij, computes the transition matrix starting at age 'age' over
1.217     brouard  3488:      'nhstepm*hstepm*stepm' months (i.e. until
1.218     brouard  3489:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
                   3490:      nhstepm*hstepm matrices.
                   3491:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step
                   3492:      (typically every 2 years instead of every month which is too big
1.217     brouard  3493:      for the memory).
1.218     brouard  3494:      Model is determined by parameters x and covariates have to be
1.266     brouard  3495:      included manually here. Then we use a call to bmij(x and cov)
                   3496:      The addresss of po (p3mat allocated to the dimension of nhstepm) should be stored for output
1.222     brouard  3497:   */
1.217     brouard  3498: 
                   3499:   int i, j, d, h, k;
1.266     brouard  3500:   double **out, cov[NCOVMAX+1], **bmij();
                   3501:   double **newm, ***newmm;
1.217     brouard  3502:   double agexact;
                   3503:   double agebegin, ageend;
1.222     brouard  3504:   double **oldm, **savm;
1.217     brouard  3505: 
1.266     brouard  3506:   newmm=po; /* To be saved */
                   3507:   oldm=oldms;savm=savms; /* Global pointers */
1.217     brouard  3508:   /* Hstepm could be zero and should return the unit matrix */
                   3509:   for (i=1;i<=nlstate+ndeath;i++)
                   3510:     for (j=1;j<=nlstate+ndeath;j++){
                   3511:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   3512:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   3513:     }
                   3514:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   3515:   for(h=1; h <=nhstepm; h++){
                   3516:     for(d=1; d <=hstepm; d++){
                   3517:       newm=savm;
                   3518:       /* Covariates have to be included here again */
                   3519:       cov[1]=1.;
1.271     brouard  3520:       agexact=age-( (h-1)*hstepm + (d)  )*stepm/YEARM; /* age just before transition, d or d-1? */
1.217     brouard  3521:       /* agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /\* age just before transition *\/ */
1.318     brouard  3522:         /* Debug */
                   3523:       /* printf("hBxij age=%lf, agexact=%lf\n", age, agexact); */
1.217     brouard  3524:       cov[2]=agexact;
                   3525:       if(nagesqr==1)
1.222     brouard  3526:        cov[3]= agexact*agexact;
1.266     brouard  3527:       for (k=1; k<=cptcovn;k++){
                   3528:       /*       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   3529:       /* /\* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; *\/ */
                   3530:        cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
                   3531:         /* printf("hbxij Dummy agexact=%.0f combi=%d k=%d TvarsD[%d]=V%d TvarsDind[%d]=%d nbcode=%d cov[%d]=%lf codtabm(%d,Tvar[%d])=%d \n",agexact,ij,k, k, TvarsD[k],k,TvarsDind[k],nbcode[TvarsD[k]][codtabm(ij,k)],2+nagesqr+TvarsDind[k],cov[2+nagesqr+TvarsDind[k]], ij, k, codtabm(ij,k)); */
                   3532:       }
1.267     brouard  3533:       for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   3534:        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   3535:        cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   3536:        /* printf("hPxij Quantitative k=%d  TvarsQind[%d]=%d, TvarsQ[%d]=V%d,Tqresult[%d][%d]=%f\n",k,k,TvarsQind[k],k,TvarsQ[k],nres,k,Tqresult[nres][k]); */
                   3537:       }
1.319     brouard  3538:       for (k=1; k<=cptcovage;k++){ /* Should start at cptcovn+1 *//* For product with age */
                   3539:        /* if(Dummy[Tvar[Tage[k]]]== 2){ /\* dummy with age error!!!*\/ */
                   3540:        if(Dummy[Tage[k]]== 2){ /* dummy with age */
1.267     brouard  3541:          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
1.319     brouard  3542:        } else if(Dummy[Tage[k]]== 3){ /* quantitative with age */
1.267     brouard  3543:          cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   3544:        }
                   3545:        /* printf("hBxij Age combi=%d k=%d  Tage[%d]=V%d Tqresult[%d][%d]=%f\n",ij,k,k,Tage[k],nres,k,Tqresult[nres][k]); */
                   3546:       }
                   3547:       for (k=1; k<=cptcovprod;k++){ /* Useless because included in cptcovn */
1.222     brouard  3548:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.267     brouard  3549:       }                        
1.217     brouard  3550:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   3551:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.267     brouard  3552: 
1.218     brouard  3553:       /* Careful transposed matrix */
1.266     brouard  3554:       /* age is in cov[2], prevacurrent at beginning of transition. */
1.218     brouard  3555:       /* out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\ */
1.222     brouard  3556:       /*                                                1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); */
1.218     brouard  3557:       out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij),\
1.222     brouard  3558:                   1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
1.217     brouard  3559:       /* if((int)age == 70){ */
                   3560:       /*       printf(" Backward hbxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   3561:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   3562:       /*         printf("%d pmmij ",i); */
                   3563:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3564:       /*           printf("%f ",pmmij[i][j]); */
                   3565:       /*         } */
                   3566:       /*         printf(" oldm "); */
                   3567:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3568:       /*           printf("%f ",oldm[i][j]); */
                   3569:       /*         } */
                   3570:       /*         printf("\n"); */
                   3571:       /*       } */
                   3572:       /* } */
                   3573:       savm=oldm;
                   3574:       oldm=newm;
                   3575:     }
                   3576:     for(i=1; i<=nlstate+ndeath; i++)
                   3577:       for(j=1;j<=nlstate+ndeath;j++) {
1.222     brouard  3578:        po[i][j][h]=newm[i][j];
1.268     brouard  3579:        /* if(h==nhstepm) */
                   3580:        /*   printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]); */
1.217     brouard  3581:       }
1.268     brouard  3582:     /* printf("h=%d %.1f ",h, agexact); */
1.217     brouard  3583:   } /* end h */
1.268     brouard  3584:   /* printf("\n H=%d nhs=%d \n",h, nhstepm); */
1.217     brouard  3585:   return po;
                   3586: }
                   3587: 
                   3588: 
1.162     brouard  3589: #ifdef NLOPT
                   3590:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   3591:   double fret;
                   3592:   double *xt;
                   3593:   int j;
                   3594:   myfunc_data *d2 = (myfunc_data *) pd;
                   3595: /* xt = (p1-1); */
                   3596:   xt=vector(1,n); 
                   3597:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   3598: 
                   3599:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   3600:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   3601:   printf("Function = %.12lf ",fret);
                   3602:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   3603:   printf("\n");
                   3604:  free_vector(xt,1,n);
                   3605:   return fret;
                   3606: }
                   3607: #endif
1.126     brouard  3608: 
                   3609: /*************** log-likelihood *************/
                   3610: double func( double *x)
                   3611: {
1.226     brouard  3612:   int i, ii, j, k, mi, d, kk;
                   3613:   int ioffset=0;
                   3614:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
                   3615:   double **out;
                   3616:   double lli; /* Individual log likelihood */
                   3617:   int s1, s2;
1.228     brouard  3618:   int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate, quantitative time varying covariate */
1.226     brouard  3619:   double bbh, survp;
                   3620:   long ipmx;
                   3621:   double agexact;
                   3622:   /*extern weight */
                   3623:   /* We are differentiating ll according to initial status */
                   3624:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3625:   /*for(i=1;i<imx;i++) 
                   3626:     printf(" %d\n",s[4][i]);
                   3627:   */
1.162     brouard  3628: 
1.226     brouard  3629:   ++countcallfunc;
1.162     brouard  3630: 
1.226     brouard  3631:   cov[1]=1.;
1.126     brouard  3632: 
1.226     brouard  3633:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3634:   ioffset=0;
1.226     brouard  3635:   if(mle==1){
                   3636:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3637:       /* Computes the values of the ncovmodel covariates of the model
                   3638:         depending if the covariates are fixed or varying (age dependent) and stores them in cov[]
                   3639:         Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                   3640:         to be observed in j being in i according to the model.
                   3641:       */
1.243     brouard  3642:       ioffset=2+nagesqr ;
1.233     brouard  3643:    /* Fixed */
1.319     brouard  3644:       for (k=1; k<=ncovf;k++){ /* For each fixed covariate dummu or quant or prod */
                   3645:        /* # V1=sex, V2=raedyrs Quant Fixed, State=livarnb4..livarnb11, V3=iadl4..iald11, V4=adlw4..adlw11, V5=r4bmi..r11bmi */
                   3646:         /*             V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   3647:        /*  TvarF[1]=Tvar[6]=2,  TvarF[2]=Tvar[7]=7, TvarF[3]=Tvar[9]=1  ID of fixed covariates or product V2, V1*V2, V1 */
1.320   ! brouard  3648:         /* TvarFind;  TvarFind[1]=6,  TvarFind[2]=7, TvarFind[3]=9 *//* Inverse V2(6) is first fixed (single or prod)  */
1.319     brouard  3649:        cov[ioffset+TvarFind[k]]=covar[Tvar[TvarFind[k]]][i];/* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, only V1 is fixed (TvarFind[1]=6)*/
                   3650:        /* V1*V2 (7)  TvarFind[2]=7, TvarFind[3]=9 */
1.234     brouard  3651:       }
1.226     brouard  3652:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
1.319     brouard  3653:         is 5, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2]=6 
1.226     brouard  3654:         has been calculated etc */
                   3655:       /* For an individual i, wav[i] gives the number of effective waves */
                   3656:       /* We compute the contribution to Likelihood of each effective transition
                   3657:         mw[mi][i] is real wave of the mi th effectve wave */
                   3658:       /* Then statuses are computed at each begin and end of an effective wave s1=s[ mw[mi][i] ][i];
                   3659:         s2=s[mw[mi+1][i]][i];
                   3660:         And the iv th varying covariate is the cotvar[mw[mi+1][i]][iv][i]
                   3661:         But if the variable is not in the model TTvar[iv] is the real variable effective in the model:
                   3662:         meaning that decodemodel should be used cotvar[mw[mi+1][i]][TTvar[iv]][i]
                   3663:       */
                   3664:       for(mi=1; mi<= wav[i]-1; mi++){
1.319     brouard  3665:        for(k=1; k <= ncovv ; k++){ /* Varying  covariates in the model (single and product but no age )"V5+V4+V3+V4*V3+V5*age+V1*age+V1" +TvarVind 1,2,3,4(V4*V3)  Tvar[1]@7{5, 4, 3, 6, 5, 1, 1 ; 6 because the created covar is after V5 and is 6, minus 1+1, 3,2,1,4 positions in cotvar*/
                   3666:          /* cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i]; but where is the crossproduct? */
1.242     brouard  3667:          cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]-ncovcol-nqv][i];
1.234     brouard  3668:        }
                   3669:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3670:          for (j=1;j<=nlstate+ndeath;j++){
                   3671:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3672:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3673:          }
                   3674:        for(d=0; d<dh[mi][i]; d++){
                   3675:          newm=savm;
                   3676:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3677:          cov[2]=agexact;
                   3678:          if(nagesqr==1)
                   3679:            cov[3]= agexact*agexact;  /* Should be changed here */
                   3680:          for (kk=1; kk<=cptcovage;kk++) {
1.318     brouard  3681:            if(!FixedV[Tvar[Tage[kk]]])
                   3682:              cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
                   3683:            else
                   3684:              cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]-ncovcol-nqv][i]*agexact;
1.234     brouard  3685:          }
                   3686:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3687:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3688:          savm=oldm;
                   3689:          oldm=newm;
                   3690:        } /* end mult */
                   3691:        
                   3692:        /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   3693:        /* But now since version 0.9 we anticipate for bias at large stepm.
                   3694:         * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   3695:         * (in months) between two waves is not a multiple of stepm, we rounded to 
                   3696:         * the nearest (and in case of equal distance, to the lowest) interval but now
                   3697:         * we keep into memory the bias bh[mi][i] and also the previous matrix product
                   3698:         * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                   3699:         * probability in order to take into account the bias as a fraction of the way
1.231     brouard  3700:                                 * from savm to out if bh is negative or even beyond if bh is positive. bh varies
                   3701:                                 * -stepm/2 to stepm/2 .
                   3702:                                 * For stepm=1 the results are the same as for previous versions of Imach.
                   3703:                                 * For stepm > 1 the results are less biased than in previous versions. 
                   3704:                                 */
1.234     brouard  3705:        s1=s[mw[mi][i]][i];
                   3706:        s2=s[mw[mi+1][i]][i];
                   3707:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3708:        /* bias bh is positive if real duration
                   3709:         * is higher than the multiple of stepm and negative otherwise.
                   3710:         */
                   3711:        /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
                   3712:        if( s2 > nlstate){ 
                   3713:          /* i.e. if s2 is a death state and if the date of death is known 
                   3714:             then the contribution to the likelihood is the probability to 
                   3715:             die between last step unit time and current  step unit time, 
                   3716:             which is also equal to probability to die before dh 
                   3717:             minus probability to die before dh-stepm . 
                   3718:             In version up to 0.92 likelihood was computed
                   3719:             as if date of death was unknown. Death was treated as any other
                   3720:             health state: the date of the interview describes the actual state
                   3721:             and not the date of a change in health state. The former idea was
                   3722:             to consider that at each interview the state was recorded
                   3723:             (healthy, disable or death) and IMaCh was corrected; but when we
                   3724:             introduced the exact date of death then we should have modified
                   3725:             the contribution of an exact death to the likelihood. This new
                   3726:             contribution is smaller and very dependent of the step unit
                   3727:             stepm. It is no more the probability to die between last interview
                   3728:             and month of death but the probability to survive from last
                   3729:             interview up to one month before death multiplied by the
                   3730:             probability to die within a month. Thanks to Chris
                   3731:             Jackson for correcting this bug.  Former versions increased
                   3732:             mortality artificially. The bad side is that we add another loop
                   3733:             which slows down the processing. The difference can be up to 10%
                   3734:             lower mortality.
                   3735:          */
                   3736:          /* If, at the beginning of the maximization mostly, the
                   3737:             cumulative probability or probability to be dead is
                   3738:             constant (ie = 1) over time d, the difference is equal to
                   3739:             0.  out[s1][3] = savm[s1][3]: probability, being at state
                   3740:             s1 at precedent wave, to be dead a month before current
                   3741:             wave is equal to probability, being at state s1 at
                   3742:             precedent wave, to be dead at mont of the current
                   3743:             wave. Then the observed probability (that this person died)
                   3744:             is null according to current estimated parameter. In fact,
                   3745:             it should be very low but not zero otherwise the log go to
                   3746:             infinity.
                   3747:          */
1.183     brouard  3748: /* #ifdef INFINITYORIGINAL */
                   3749: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3750: /* #else */
                   3751: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   3752: /*         lli=log(mytinydouble); */
                   3753: /*       else */
                   3754: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3755: /* #endif */
1.226     brouard  3756:          lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3757:          
1.226     brouard  3758:        } else if  ( s2==-1 ) { /* alive */
                   3759:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3760:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3761:          /*survp += out[s1][j]; */
                   3762:          lli= log(survp);
                   3763:        }
                   3764:        else if  (s2==-4) { 
                   3765:          for (j=3,survp=0. ; j<=nlstate; j++)  
                   3766:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3767:          lli= log(survp); 
                   3768:        } 
                   3769:        else if  (s2==-5) { 
                   3770:          for (j=1,survp=0. ; j<=2; j++)  
                   3771:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3772:          lli= log(survp); 
                   3773:        } 
                   3774:        else{
                   3775:          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3776:          /*  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 */
                   3777:        } 
                   3778:        /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                   3779:        /*if(lli ==000.0)*/
                   3780:        /*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); */
                   3781:        ipmx +=1;
                   3782:        sw += weight[i];
                   3783:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3784:        /* if (lli < log(mytinydouble)){ */
                   3785:        /*   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); */
                   3786:        /*   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]); */
                   3787:        /* } */
                   3788:       } /* end of wave */
                   3789:     } /* end of individual */
                   3790:   }  else if(mle==2){
                   3791:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.319     brouard  3792:       ioffset=2+nagesqr ;
                   3793:       for (k=1; k<=ncovf;k++)
                   3794:        cov[ioffset+TvarFind[k]]=covar[Tvar[TvarFind[k]]][i];
1.226     brouard  3795:       for(mi=1; mi<= wav[i]-1; mi++){
1.319     brouard  3796:        for(k=1; k <= ncovv ; k++){
                   3797:          cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]-ncovcol-nqv][i];
                   3798:        }
1.226     brouard  3799:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3800:          for (j=1;j<=nlstate+ndeath;j++){
                   3801:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3802:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3803:          }
                   3804:        for(d=0; d<=dh[mi][i]; d++){
                   3805:          newm=savm;
                   3806:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3807:          cov[2]=agexact;
                   3808:          if(nagesqr==1)
                   3809:            cov[3]= agexact*agexact;
                   3810:          for (kk=1; kk<=cptcovage;kk++) {
                   3811:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3812:          }
                   3813:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3814:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3815:          savm=oldm;
                   3816:          oldm=newm;
                   3817:        } /* end mult */
                   3818:       
                   3819:        s1=s[mw[mi][i]][i];
                   3820:        s2=s[mw[mi+1][i]][i];
                   3821:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3822:        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 */
                   3823:        ipmx +=1;
                   3824:        sw += weight[i];
                   3825:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3826:       } /* end of wave */
                   3827:     } /* end of individual */
                   3828:   }  else if(mle==3){  /* exponential inter-extrapolation */
                   3829:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3830:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3831:       for(mi=1; mi<= wav[i]-1; mi++){
                   3832:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3833:          for (j=1;j<=nlstate+ndeath;j++){
                   3834:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3835:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3836:          }
                   3837:        for(d=0; d<dh[mi][i]; d++){
                   3838:          newm=savm;
                   3839:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3840:          cov[2]=agexact;
                   3841:          if(nagesqr==1)
                   3842:            cov[3]= agexact*agexact;
                   3843:          for (kk=1; kk<=cptcovage;kk++) {
                   3844:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3845:          }
                   3846:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3847:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3848:          savm=oldm;
                   3849:          oldm=newm;
                   3850:        } /* end mult */
                   3851:       
                   3852:        s1=s[mw[mi][i]][i];
                   3853:        s2=s[mw[mi+1][i]][i];
                   3854:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3855:        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 */
                   3856:        ipmx +=1;
                   3857:        sw += weight[i];
                   3858:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3859:       } /* end of wave */
                   3860:     } /* end of individual */
                   3861:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
                   3862:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3863:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3864:       for(mi=1; mi<= wav[i]-1; mi++){
                   3865:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3866:          for (j=1;j<=nlstate+ndeath;j++){
                   3867:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3868:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3869:          }
                   3870:        for(d=0; d<dh[mi][i]; d++){
                   3871:          newm=savm;
                   3872:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3873:          cov[2]=agexact;
                   3874:          if(nagesqr==1)
                   3875:            cov[3]= agexact*agexact;
                   3876:          for (kk=1; kk<=cptcovage;kk++) {
                   3877:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3878:          }
1.126     brouard  3879:        
1.226     brouard  3880:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3881:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3882:          savm=oldm;
                   3883:          oldm=newm;
                   3884:        } /* end mult */
                   3885:       
                   3886:        s1=s[mw[mi][i]][i];
                   3887:        s2=s[mw[mi+1][i]][i];
                   3888:        if( s2 > nlstate){ 
                   3889:          lli=log(out[s1][s2] - savm[s1][s2]);
                   3890:        } else if  ( s2==-1 ) { /* alive */
                   3891:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3892:            survp += out[s1][j];
                   3893:          lli= log(survp);
                   3894:        }else{
                   3895:          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3896:        }
                   3897:        ipmx +=1;
                   3898:        sw += weight[i];
                   3899:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.126     brouard  3900: /*     printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
1.226     brouard  3901:       } /* end of wave */
                   3902:     } /* end of individual */
                   3903:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
                   3904:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3905:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3906:       for(mi=1; mi<= wav[i]-1; mi++){
                   3907:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3908:          for (j=1;j<=nlstate+ndeath;j++){
                   3909:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3910:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3911:          }
                   3912:        for(d=0; d<dh[mi][i]; d++){
                   3913:          newm=savm;
                   3914:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3915:          cov[2]=agexact;
                   3916:          if(nagesqr==1)
                   3917:            cov[3]= agexact*agexact;
                   3918:          for (kk=1; kk<=cptcovage;kk++) {
                   3919:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3920:          }
1.126     brouard  3921:        
1.226     brouard  3922:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3923:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3924:          savm=oldm;
                   3925:          oldm=newm;
                   3926:        } /* end mult */
                   3927:       
                   3928:        s1=s[mw[mi][i]][i];
                   3929:        s2=s[mw[mi+1][i]][i];
                   3930:        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3931:        ipmx +=1;
                   3932:        sw += weight[i];
                   3933:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3934:        /*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]);*/
                   3935:       } /* end of wave */
                   3936:     } /* end of individual */
                   3937:   } /* End of if */
                   3938:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3939:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3940:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3941:   return -l;
1.126     brouard  3942: }
                   3943: 
                   3944: /*************** log-likelihood *************/
                   3945: double funcone( double *x)
                   3946: {
1.228     brouard  3947:   /* Same as func but slower because of a lot of printf and if */
1.126     brouard  3948:   int i, ii, j, k, mi, d, kk;
1.228     brouard  3949:   int ioffset=0;
1.131     brouard  3950:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  3951:   double **out;
                   3952:   double lli; /* Individual log likelihood */
                   3953:   double llt;
                   3954:   int s1, s2;
1.228     brouard  3955:   int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate, quantitative time varying covariate */
                   3956: 
1.126     brouard  3957:   double bbh, survp;
1.187     brouard  3958:   double agexact;
1.214     brouard  3959:   double agebegin, ageend;
1.126     brouard  3960:   /*extern weight */
                   3961:   /* We are differentiating ll according to initial status */
                   3962:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3963:   /*for(i=1;i<imx;i++) 
                   3964:     printf(" %d\n",s[4][i]);
                   3965:   */
                   3966:   cov[1]=1.;
                   3967: 
                   3968:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3969:   ioffset=0;
                   3970:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.243     brouard  3971:     /* ioffset=2+nagesqr+cptcovage; */
                   3972:     ioffset=2+nagesqr;
1.232     brouard  3973:     /* Fixed */
1.224     brouard  3974:     /* for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i]; */
1.232     brouard  3975:     /* for (k=1; k<=ncoveff;k++){ /\* Simple and product fixed Dummy covariates without age* products *\/ */
1.311     brouard  3976:     for (k=1; k<=ncovf;k++){ /* Simple and product fixed covariates without age* products *//* Missing values are set to -1 but should be dropped */
1.232     brouard  3977:       cov[ioffset+TvarFind[k]]=covar[Tvar[TvarFind[k]]][i];/* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, only V1 is fixed (k=6)*/
                   3978: /*    cov[ioffset+TvarFind[1]]=covar[Tvar[TvarFind[1]]][i];  */
                   3979: /*    cov[2+6]=covar[Tvar[6]][i];  */
                   3980: /*    cov[2+6]=covar[2][i]; V2  */
                   3981: /*    cov[TvarFind[2]]=covar[Tvar[TvarFind[2]]][i];  */
                   3982: /*    cov[2+7]=covar[Tvar[7]][i];  */
                   3983: /*    cov[2+7]=covar[7][i]; V7=V1*V2  */
                   3984: /*    cov[TvarFind[3]]=covar[Tvar[TvarFind[3]]][i];  */
                   3985: /*    cov[2+9]=covar[Tvar[9]][i];  */
                   3986: /*    cov[2+9]=covar[1][i]; V1  */
1.225     brouard  3987:     }
1.232     brouard  3988:     /* for (k=1; k<=nqfveff;k++){ /\* Simple and product fixed Quantitative covariates without age* products *\/ */
                   3989:     /*   cov[++ioffset]=coqvar[TvarFQ[k]][i];/\* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, only V2 and V1*V2 is fixed (k=6 and 7?)*\/ */
                   3990:     /* } */
1.231     brouard  3991:     /* for(iqv=1; iqv <= nqfveff; iqv++){ /\* Quantitative fixed covariates *\/ */
                   3992:     /*   cov[++ioffset]=coqvar[Tvar[iqv]][i]; /\* Only V2 k=6 and V1*V2 7 *\/ */
                   3993:     /* } */
1.225     brouard  3994:     
1.233     brouard  3995: 
                   3996:     for(mi=1; mi<= wav[i]-1; mi++){  /* Varying with waves */
1.232     brouard  3997:     /* Wave varying (but not age varying) */
                   3998:       for(k=1; k <= ncovv ; k++){ /* Varying  covariates (single and product but no age )*/
1.242     brouard  3999:        /* cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i]; */
                   4000:        cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]-ncovcol-nqv][i];
                   4001:       }
1.232     brouard  4002:       /* for(itv=1; itv <= ntveff; itv++){ /\* Varying dummy covariates (single??)*\/ */
1.242     brouard  4003:       /* iv= Tvar[Tmodelind[ioffset-2-nagesqr-cptcovage+itv]]-ncovcol-nqv; /\* Counting the # varying covariate from 1 to ntveff *\/ */
                   4004:       /* cov[ioffset+iv]=cotvar[mw[mi][i]][iv][i]; */
                   4005:       /* k=ioffset-2-nagesqr-cptcovage+itv; /\* position in simple model *\/ */
                   4006:       /* cov[ioffset+itv]=cotvar[mw[mi][i]][TmodelInvind[itv]][i]; */
                   4007:       /* printf(" i=%d,mi=%d,itv=%d,TmodelInvind[itv]=%d,cotvar[mw[mi][i]][TmodelInvind[itv]][i]=%f\n", i, mi, itv, TmodelInvind[itv],cotvar[mw[mi][i]][TmodelInvind[itv]][i]); */
1.232     brouard  4008:       /* for(iqtv=1; iqtv <= nqtveff; iqtv++){ /\* Varying quantitatives covariates *\/ */
1.242     brouard  4009:       /*       iv=TmodelInvQind[iqtv]; /\* Counting the # varying covariate from 1 to ntveff *\/ */
                   4010:       /*       /\* printf(" i=%d,mi=%d,iqtv=%d,TmodelInvQind[iqtv]=%d,cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i]=%f\n", i, mi, iqtv, TmodelInvQind[iqtv],cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i]); *\/ */
                   4011:       /*       cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i]; */
1.232     brouard  4012:       /* } */
1.126     brouard  4013:       for (ii=1;ii<=nlstate+ndeath;ii++)
1.242     brouard  4014:        for (j=1;j<=nlstate+ndeath;j++){
                   4015:          oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   4016:          savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   4017:        }
1.214     brouard  4018:       
                   4019:       agebegin=agev[mw[mi][i]][i]; /* Age at beginning of effective wave */
                   4020:       ageend=agev[mw[mi][i]][i] + (dh[mi][i])*stepm/YEARM; /* Age at end of effective wave and at the end of transition */
                   4021:       for(d=0; d<dh[mi][i]; d++){  /* Delay between two effective waves */
1.247     brouard  4022:       /* for(d=0; d<=0; d++){  /\* Delay between two effective waves Only one matrix to speed up*\/ */
1.242     brouard  4023:        /*dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   4024:          and mw[mi+1][i]. dh depends on stepm.*/
                   4025:        newm=savm;
1.247     brouard  4026:        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;  /* Here d is needed */
1.242     brouard  4027:        cov[2]=agexact;
                   4028:        if(nagesqr==1)
                   4029:          cov[3]= agexact*agexact;
                   4030:        for (kk=1; kk<=cptcovage;kk++) {
                   4031:          if(!FixedV[Tvar[Tage[kk]]])
                   4032:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   4033:          else
                   4034:            cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]-ncovcol-nqv][i]*agexact;
                   4035:        }
                   4036:        /* printf("i=%d,mi=%d,d=%d,mw[mi][i]=%d\n",i, mi,d,mw[mi][i]); */
                   4037:        /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   4038:        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   4039:                     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   4040:        /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
                   4041:        /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
                   4042:        savm=oldm;
                   4043:        oldm=newm;
1.126     brouard  4044:       } /* end mult */
                   4045:       
                   4046:       s1=s[mw[mi][i]][i];
                   4047:       s2=s[mw[mi+1][i]][i];
1.217     brouard  4048:       /* if(s2==-1){ */
1.268     brouard  4049:       /*       printf(" ERROR s1=%d, s2=%d i=%d \n", s1, s2, i); */
1.217     brouard  4050:       /*       /\* exit(1); *\/ */
                   4051:       /* } */
1.126     brouard  4052:       bbh=(double)bh[mi][i]/(double)stepm; 
                   4053:       /* bias is positive if real duration
                   4054:        * is higher than the multiple of stepm and negative otherwise.
                   4055:        */
                   4056:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
1.242     brouard  4057:        lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  4058:       } else if  ( s2==-1 ) { /* alive */
1.242     brouard  4059:        for (j=1,survp=0. ; j<=nlstate; j++) 
                   4060:          survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   4061:        lli= log(survp);
1.126     brouard  4062:       }else if (mle==1){
1.242     brouard  4063:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
1.126     brouard  4064:       } else if(mle==2){
1.242     brouard  4065:        lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* linear interpolation */
1.126     brouard  4066:       } else if(mle==3){  /* exponential inter-extrapolation */
1.242     brouard  4067:        lli= (savm[s1][s2]>(double)1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* exponential inter-extrapolation */
1.126     brouard  4068:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
1.242     brouard  4069:        lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  4070:       } else{  /* mle=0 back to 1 */
1.242     brouard  4071:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   4072:        /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  4073:       } /* End of if */
                   4074:       ipmx +=1;
                   4075:       sw += weight[i];
                   4076:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  4077:       /*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  4078:       if(globpr){
1.246     brouard  4079:        fprintf(ficresilk,"%09ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %15.6f %8.4f %8.3f\
1.126     brouard  4080:  %11.6f %11.6f %11.6f ", \
1.242     brouard  4081:                num[i], agebegin, ageend, i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],weight[i]*gipmx/gsw,
1.268     brouard  4082:                2*weight[i]*lli,(s2==-1? -1: out[s1][s2]),(s2==-1? -1: savm[s1][s2]));
1.242     brouard  4083:        for(k=1,llt=0.,l=0.; k<=nlstate; k++){
                   4084:          llt +=ll[k]*gipmx/gsw;
                   4085:          fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                   4086:        }
                   4087:        fprintf(ficresilk," %10.6f\n", -llt);
1.126     brouard  4088:       }
1.232     brouard  4089:        } /* end of wave */
                   4090: } /* end of individual */
                   4091: for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   4092: /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   4093: l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   4094: if(globpr==0){ /* First time we count the contributions and weights */
                   4095:        gipmx=ipmx;
                   4096:        gsw=sw;
                   4097: }
                   4098: return -l;
1.126     brouard  4099: }
                   4100: 
                   4101: 
                   4102: /*************** function likelione ***********/
1.292     brouard  4103: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*func)(double []))
1.126     brouard  4104: {
                   4105:   /* This routine should help understanding what is done with 
                   4106:      the selection of individuals/waves and
                   4107:      to check the exact contribution to the likelihood.
                   4108:      Plotting could be done.
                   4109:    */
                   4110:   int k;
                   4111: 
                   4112:   if(*globpri !=0){ /* Just counts and sums, no printings */
1.201     brouard  4113:     strcpy(fileresilk,"ILK_"); 
1.202     brouard  4114:     strcat(fileresilk,fileresu);
1.126     brouard  4115:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   4116:       printf("Problem with resultfile: %s\n", fileresilk);
                   4117:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   4118:     }
1.214     brouard  4119:     fprintf(ficresilk, "#individual(line's_record) count ageb ageend s1 s2 wave# effective_wave# number_of_matrices_product pij weight weight/gpw -2ln(pij)*weight 0pij_x 0pij_(x-stepm) cumulating_loglikeli_by_health_state(reweighted=-2ll*weightXnumber_of_contribs/sum_of_weights) and_total\n");
                   4120:     fprintf(ficresilk, "#num_i ageb agend i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav ");
1.126     brouard  4121:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   4122:     for(k=1; k<=nlstate; k++) 
                   4123:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   4124:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   4125:   }
                   4126: 
1.292     brouard  4127:   *fretone=(*func)(p);
1.126     brouard  4128:   if(*globpri !=0){
                   4129:     fclose(ficresilk);
1.205     brouard  4130:     if (mle ==0)
                   4131:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
                   4132:     else if(mle >=1)
                   4133:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
                   4134:     fprintf(fichtm," You should at least run with mle >= 1 to get starting values corresponding to the optimized parameters in order to visualize the real contribution of each individual/wave: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));
1.274     brouard  4135:     fprintf(fichtm,"\n<br>Equation of the model: <b>model=1+age+%s</b><br>\n",model); 
1.208     brouard  4136:       
                   4137:     for (k=1; k<= nlstate ; k++) {
1.211     brouard  4138:       fprintf(fichtm,"<br>- Probability p<sub>%dj</sub> by origin %d and destination j. Dot's sizes are related to corresponding weight: <a href=\"%s-p%dj.png\">%s-p%dj.png</a><br> \
1.208     brouard  4139: <img src=\"%s-p%dj.png\">",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
                   4140:     }
1.207     brouard  4141:     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  4142: <img src=\"%s-ori.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  4143:     fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
1.204     brouard  4144: <img src=\"%s-dest.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  4145:     fflush(fichtm);
1.205     brouard  4146:   }
1.126     brouard  4147:   return;
                   4148: }
                   4149: 
                   4150: 
                   4151: /*********** Maximum Likelihood Estimation ***************/
                   4152: 
                   4153: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   4154: {
1.319     brouard  4155:   int i,j,k, jk, jkk=0, iter=0;
1.126     brouard  4156:   double **xi;
                   4157:   double fret;
                   4158:   double fretone; /* Only one call to likelihood */
                   4159:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  4160: 
                   4161: #ifdef NLOPT
                   4162:   int creturn;
                   4163:   nlopt_opt opt;
                   4164:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   4165:   double *lb;
                   4166:   double minf; /* the minimum objective value, upon return */
                   4167:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   4168:   myfunc_data dinst, *d = &dinst;
                   4169: #endif
                   4170: 
                   4171: 
1.126     brouard  4172:   xi=matrix(1,npar,1,npar);
                   4173:   for (i=1;i<=npar;i++)
                   4174:     for (j=1;j<=npar;j++)
                   4175:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   4176:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.201     brouard  4177:   strcpy(filerespow,"POW_"); 
1.126     brouard  4178:   strcat(filerespow,fileres);
                   4179:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   4180:     printf("Problem with resultfile: %s\n", filerespow);
                   4181:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   4182:   }
                   4183:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   4184:   for (i=1;i<=nlstate;i++)
                   4185:     for(j=1;j<=nlstate+ndeath;j++)
                   4186:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   4187:   fprintf(ficrespow,"\n");
1.162     brouard  4188: #ifdef POWELL
1.319     brouard  4189: #ifdef LINMINORIGINAL
                   4190: #else /* LINMINORIGINAL */
                   4191:   
                   4192:   flatdir=ivector(1,npar); 
                   4193:   for (j=1;j<=npar;j++) flatdir[j]=0; 
                   4194: #endif /*LINMINORIGINAL */
                   4195: 
                   4196: #ifdef FLATSUP
                   4197:   powell(p,xi,npar,ftol,&iter,&fret,flatdir,func);
                   4198:   /* reorganizing p by suppressing flat directions */
                   4199:   for(i=1, jk=1; i <=nlstate; i++){
                   4200:     for(k=1; k <=(nlstate+ndeath); k++){
                   4201:       if (k != i) {
                   4202:         printf("%d%d flatdir[%d]=%d",i,k,jk, flatdir[jk]);
                   4203:         if(flatdir[jk]==1){
                   4204:           printf(" To be skipped %d%d flatdir[%d]=%d ",i,k,jk, flatdir[jk]);
                   4205:         }
                   4206:         for(j=1; j <=ncovmodel; j++){
                   4207:           printf("%12.7f ",p[jk]);
                   4208:           jk++; 
                   4209:         }
                   4210:         printf("\n");
                   4211:       }
                   4212:     }
                   4213:   }
                   4214: /* skipping */
                   4215:   /* for(i=1, jk=1, jkk=1;(flatdir[jk]==0)&& (i <=nlstate); i++){ */
                   4216:   for(i=1, jk=1, jkk=1;i <=nlstate; i++){
                   4217:     for(k=1; k <=(nlstate+ndeath); k++){
                   4218:       if (k != i) {
                   4219:         printf("%d%d flatdir[%d]=%d",i,k,jk, flatdir[jk]);
                   4220:         if(flatdir[jk]==1){
                   4221:           printf(" To be skipped %d%d flatdir[%d]=%d jk=%d p[%d] ",i,k,jk, flatdir[jk],jk, jk);
                   4222:           for(j=1; j <=ncovmodel;  jk++,j++){
                   4223:             printf(" p[%d]=%12.7f",jk, p[jk]);
                   4224:             /*q[jjk]=p[jk];*/
                   4225:           }
                   4226:         }else{
                   4227:           printf(" To be kept %d%d flatdir[%d]=%d jk=%d q[%d]=p[%d] ",i,k,jk, flatdir[jk],jk, jkk, jk);
                   4228:           for(j=1; j <=ncovmodel;  jk++,jkk++,j++){
                   4229:             printf(" p[%d]=%12.7f=q[%d]",jk, p[jk],jkk);
                   4230:             /*q[jjk]=p[jk];*/
                   4231:           }
                   4232:         }
                   4233:         printf("\n");
                   4234:       }
                   4235:       fflush(stdout);
                   4236:     }
                   4237:   }
                   4238:   powell(p,xi,npar,ftol,&iter,&fret,flatdir,func);
                   4239: #else  /* FLATSUP */
1.126     brouard  4240:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.319     brouard  4241: #endif  /* FLATSUP */
                   4242: 
                   4243: #ifdef LINMINORIGINAL
                   4244: #else
                   4245:       free_ivector(flatdir,1,npar); 
                   4246: #endif  /* LINMINORIGINAL*/
                   4247: #endif /* POWELL */
1.126     brouard  4248: 
1.162     brouard  4249: #ifdef NLOPT
                   4250: #ifdef NEWUOA
                   4251:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   4252: #else
                   4253:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   4254: #endif
                   4255:   lb=vector(0,npar-1);
                   4256:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   4257:   nlopt_set_lower_bounds(opt, lb);
                   4258:   nlopt_set_initial_step1(opt, 0.1);
                   4259:   
                   4260:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   4261:   d->function = func;
                   4262:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   4263:   nlopt_set_min_objective(opt, myfunc, d);
                   4264:   nlopt_set_xtol_rel(opt, ftol);
                   4265:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   4266:     printf("nlopt failed! %d\n",creturn); 
                   4267:   }
                   4268:   else {
                   4269:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   4270:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   4271:     iter=1; /* not equal */
                   4272:   }
                   4273:   nlopt_destroy(opt);
                   4274: #endif
1.319     brouard  4275: #ifdef FLATSUP
                   4276:   /* npared = npar -flatd/ncovmodel; */
                   4277:   /* xired= matrix(1,npared,1,npared); */
                   4278:   /* paramred= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */
                   4279:   /* powell(pred,xired,npared,ftol,&iter,&fret,flatdir,func); */
                   4280:   /* free_matrix(xire,1,npared,1,npared); */
                   4281: #else  /* FLATSUP */
                   4282: #endif /* FLATSUP */
1.126     brouard  4283:   free_matrix(xi,1,npar,1,npar);
                   4284:   fclose(ficrespow);
1.203     brouard  4285:   printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   4286:   fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.180     brouard  4287:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  4288: 
                   4289: }
                   4290: 
                   4291: /**** Computes Hessian and covariance matrix ***/
1.203     brouard  4292: void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
1.126     brouard  4293: {
                   4294:   double  **a,**y,*x,pd;
1.203     brouard  4295:   /* double **hess; */
1.164     brouard  4296:   int i, j;
1.126     brouard  4297:   int *indx;
                   4298: 
                   4299:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
1.203     brouard  4300:   double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
1.126     brouard  4301:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   4302:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   4303:   double gompertz(double p[]);
1.203     brouard  4304:   /* hess=matrix(1,npar,1,npar); */
1.126     brouard  4305: 
                   4306:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   4307:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   4308:   for (i=1;i<=npar;i++){
1.203     brouard  4309:     printf("%d-",i);fflush(stdout);
                   4310:     fprintf(ficlog,"%d-",i);fflush(ficlog);
1.126     brouard  4311:    
                   4312:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   4313:     
                   4314:     /*  printf(" %f ",p[i]);
                   4315:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   4316:   }
                   4317:   
                   4318:   for (i=1;i<=npar;i++) {
                   4319:     for (j=1;j<=npar;j++)  {
                   4320:       if (j>i) { 
1.203     brouard  4321:        printf(".%d-%d",i,j);fflush(stdout);
                   4322:        fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
                   4323:        hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
1.126     brouard  4324:        
                   4325:        hess[j][i]=hess[i][j];    
                   4326:        /*printf(" %lf ",hess[i][j]);*/
                   4327:       }
                   4328:     }
                   4329:   }
                   4330:   printf("\n");
                   4331:   fprintf(ficlog,"\n");
                   4332: 
                   4333:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   4334:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   4335:   
                   4336:   a=matrix(1,npar,1,npar);
                   4337:   y=matrix(1,npar,1,npar);
                   4338:   x=vector(1,npar);
                   4339:   indx=ivector(1,npar);
                   4340:   for (i=1;i<=npar;i++)
                   4341:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   4342:   ludcmp(a,npar,indx,&pd);
                   4343: 
                   4344:   for (j=1;j<=npar;j++) {
                   4345:     for (i=1;i<=npar;i++) x[i]=0;
                   4346:     x[j]=1;
                   4347:     lubksb(a,npar,indx,x);
                   4348:     for (i=1;i<=npar;i++){ 
                   4349:       matcov[i][j]=x[i];
                   4350:     }
                   4351:   }
                   4352: 
                   4353:   printf("\n#Hessian matrix#\n");
                   4354:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   4355:   for (i=1;i<=npar;i++) { 
                   4356:     for (j=1;j<=npar;j++) { 
1.203     brouard  4357:       printf("%.6e ",hess[i][j]);
                   4358:       fprintf(ficlog,"%.6e ",hess[i][j]);
1.126     brouard  4359:     }
                   4360:     printf("\n");
                   4361:     fprintf(ficlog,"\n");
                   4362:   }
                   4363: 
1.203     brouard  4364:   /* printf("\n#Covariance matrix#\n"); */
                   4365:   /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
                   4366:   /* for (i=1;i<=npar;i++) {  */
                   4367:   /*   for (j=1;j<=npar;j++) {  */
                   4368:   /*     printf("%.6e ",matcov[i][j]); */
                   4369:   /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
                   4370:   /*   } */
                   4371:   /*   printf("\n"); */
                   4372:   /*   fprintf(ficlog,"\n"); */
                   4373:   /* } */
                   4374: 
1.126     brouard  4375:   /* Recompute Inverse */
1.203     brouard  4376:   /* for (i=1;i<=npar;i++) */
                   4377:   /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
                   4378:   /* ludcmp(a,npar,indx,&pd); */
                   4379: 
                   4380:   /*  printf("\n#Hessian matrix recomputed#\n"); */
                   4381: 
                   4382:   /* for (j=1;j<=npar;j++) { */
                   4383:   /*   for (i=1;i<=npar;i++) x[i]=0; */
                   4384:   /*   x[j]=1; */
                   4385:   /*   lubksb(a,npar,indx,x); */
                   4386:   /*   for (i=1;i<=npar;i++){  */
                   4387:   /*     y[i][j]=x[i]; */
                   4388:   /*     printf("%.3e ",y[i][j]); */
                   4389:   /*     fprintf(ficlog,"%.3e ",y[i][j]); */
                   4390:   /*   } */
                   4391:   /*   printf("\n"); */
                   4392:   /*   fprintf(ficlog,"\n"); */
                   4393:   /* } */
                   4394: 
                   4395:   /* Verifying the inverse matrix */
                   4396: #ifdef DEBUGHESS
                   4397:   y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
1.126     brouard  4398: 
1.203     brouard  4399:    printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
                   4400:    fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
1.126     brouard  4401: 
                   4402:   for (j=1;j<=npar;j++) {
                   4403:     for (i=1;i<=npar;i++){ 
1.203     brouard  4404:       printf("%.2f ",y[i][j]);
                   4405:       fprintf(ficlog,"%.2f ",y[i][j]);
1.126     brouard  4406:     }
                   4407:     printf("\n");
                   4408:     fprintf(ficlog,"\n");
                   4409:   }
1.203     brouard  4410: #endif
1.126     brouard  4411: 
                   4412:   free_matrix(a,1,npar,1,npar);
                   4413:   free_matrix(y,1,npar,1,npar);
                   4414:   free_vector(x,1,npar);
                   4415:   free_ivector(indx,1,npar);
1.203     brouard  4416:   /* free_matrix(hess,1,npar,1,npar); */
1.126     brouard  4417: 
                   4418: 
                   4419: }
                   4420: 
                   4421: /*************** hessian matrix ****************/
                   4422: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
1.203     brouard  4423: { /* Around values of x, computes the function func and returns the scales delti and hessian */
1.126     brouard  4424:   int i;
                   4425:   int l=1, lmax=20;
1.203     brouard  4426:   double k1,k2, res, fx;
1.132     brouard  4427:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  4428:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   4429:   int k=0,kmax=10;
                   4430:   double l1;
                   4431: 
                   4432:   fx=func(x);
                   4433:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  4434:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  4435:     l1=pow(10,l);
                   4436:     delts=delt;
                   4437:     for(k=1 ; k <kmax; k=k+1){
                   4438:       delt = delta*(l1*k);
                   4439:       p2[theta]=x[theta] +delt;
1.145     brouard  4440:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  4441:       p2[theta]=x[theta]-delt;
                   4442:       k2=func(p2)-fx;
                   4443:       /*res= (k1-2.0*fx+k2)/delt/delt; */
1.203     brouard  4444:       res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
1.126     brouard  4445:       
1.203     brouard  4446: #ifdef DEBUGHESSII
1.126     brouard  4447:       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);
                   4448:       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);
                   4449: #endif
                   4450:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   4451:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   4452:        k=kmax;
                   4453:       }
                   4454:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  4455:        k=kmax; l=lmax*10;
1.126     brouard  4456:       }
                   4457:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   4458:        delts=delt;
                   4459:       }
1.203     brouard  4460:     } /* End loop k */
1.126     brouard  4461:   }
                   4462:   delti[theta]=delts;
                   4463:   return res; 
                   4464:   
                   4465: }
                   4466: 
1.203     brouard  4467: double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
1.126     brouard  4468: {
                   4469:   int i;
1.164     brouard  4470:   int l=1, lmax=20;
1.126     brouard  4471:   double k1,k2,k3,k4,res,fx;
1.132     brouard  4472:   double p2[MAXPARM+1];
1.203     brouard  4473:   int k, kmax=1;
                   4474:   double v1, v2, cv12, lc1, lc2;
1.208     brouard  4475: 
                   4476:   int firstime=0;
1.203     brouard  4477:   
1.126     brouard  4478:   fx=func(x);
1.203     brouard  4479:   for (k=1; k<=kmax; k=k+10) {
1.126     brouard  4480:     for (i=1;i<=npar;i++) p2[i]=x[i];
1.203     brouard  4481:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   4482:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  4483:     k1=func(p2)-fx;
                   4484:   
1.203     brouard  4485:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   4486:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  4487:     k2=func(p2)-fx;
                   4488:   
1.203     brouard  4489:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   4490:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  4491:     k3=func(p2)-fx;
                   4492:   
1.203     brouard  4493:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   4494:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  4495:     k4=func(p2)-fx;
1.203     brouard  4496:     res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */
                   4497:     if(k1*k2*k3*k4 <0.){
1.208     brouard  4498:       firstime=1;
1.203     brouard  4499:       kmax=kmax+10;
1.208     brouard  4500:     }
                   4501:     if(kmax >=10 || firstime ==1){
1.246     brouard  4502:       printf("Warning: directions %d-%d, you are not estimating the Hessian at the exact maximum likelihood; you could increase ftol=%.2e\n",thetai,thetaj, ftol);
                   4503:       fprintf(ficlog,"Warning: directions %d-%d, you are not estimating the Hessian at the exact maximum likelihood; you could increase ftol=%.2e\n",thetai,thetaj, ftol);
1.203     brouard  4504:       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);
                   4505:       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);
                   4506:     }
                   4507: #ifdef DEBUGHESSIJ
                   4508:     v1=hess[thetai][thetai];
                   4509:     v2=hess[thetaj][thetaj];
                   4510:     cv12=res;
                   4511:     /* Computing eigen value of Hessian matrix */
                   4512:     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4513:     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4514:     if ((lc2 <0) || (lc1 <0) ){
                   4515:       printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   4516:       fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   4517:       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);
                   4518:       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);
                   4519:     }
1.126     brouard  4520: #endif
                   4521:   }
                   4522:   return res;
                   4523: }
                   4524: 
1.203     brouard  4525:     /* Not done yet: Was supposed to fix if not exactly at the maximum */
                   4526: /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
                   4527: /* { */
                   4528: /*   int i; */
                   4529: /*   int l=1, lmax=20; */
                   4530: /*   double k1,k2,k3,k4,res,fx; */
                   4531: /*   double p2[MAXPARM+1]; */
                   4532: /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
                   4533: /*   int k=0,kmax=10; */
                   4534: /*   double l1; */
                   4535:   
                   4536: /*   fx=func(x); */
                   4537: /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
                   4538: /*     l1=pow(10,l); */
                   4539: /*     delts=delt; */
                   4540: /*     for(k=1 ; k <kmax; k=k+1){ */
                   4541: /*       delt = delti*(l1*k); */
                   4542: /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
                   4543: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   4544: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   4545: /*       k1=func(p2)-fx; */
                   4546:       
                   4547: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   4548: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   4549: /*       k2=func(p2)-fx; */
                   4550:       
                   4551: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   4552: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   4553: /*       k3=func(p2)-fx; */
                   4554:       
                   4555: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   4556: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   4557: /*       k4=func(p2)-fx; */
                   4558: /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
                   4559: /* #ifdef DEBUGHESSIJ */
                   4560: /*       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); */
                   4561: /*       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); */
                   4562: /* #endif */
                   4563: /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
                   4564: /*     k=kmax; */
                   4565: /*       } */
                   4566: /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
                   4567: /*     k=kmax; l=lmax*10; */
                   4568: /*       } */
                   4569: /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
                   4570: /*     delts=delt; */
                   4571: /*       } */
                   4572: /*     } /\* End loop k *\/ */
                   4573: /*   } */
                   4574: /*   delti[theta]=delts; */
                   4575: /*   return res;  */
                   4576: /* } */
                   4577: 
                   4578: 
1.126     brouard  4579: /************** Inverse of matrix **************/
                   4580: void ludcmp(double **a, int n, int *indx, double *d) 
                   4581: { 
                   4582:   int i,imax,j,k; 
                   4583:   double big,dum,sum,temp; 
                   4584:   double *vv; 
                   4585:  
                   4586:   vv=vector(1,n); 
                   4587:   *d=1.0; 
                   4588:   for (i=1;i<=n;i++) { 
                   4589:     big=0.0; 
                   4590:     for (j=1;j<=n;j++) 
                   4591:       if ((temp=fabs(a[i][j])) > big) big=temp; 
1.256     brouard  4592:     if (big == 0.0){
                   4593:       printf(" Singular Hessian matrix at row %d:\n",i);
                   4594:       for (j=1;j<=n;j++) {
                   4595:        printf(" a[%d][%d]=%f,",i,j,a[i][j]);
                   4596:        fprintf(ficlog," a[%d][%d]=%f,",i,j,a[i][j]);
                   4597:       }
                   4598:       fflush(ficlog);
                   4599:       fclose(ficlog);
                   4600:       nrerror("Singular matrix in routine ludcmp"); 
                   4601:     }
1.126     brouard  4602:     vv[i]=1.0/big; 
                   4603:   } 
                   4604:   for (j=1;j<=n;j++) { 
                   4605:     for (i=1;i<j;i++) { 
                   4606:       sum=a[i][j]; 
                   4607:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   4608:       a[i][j]=sum; 
                   4609:     } 
                   4610:     big=0.0; 
                   4611:     for (i=j;i<=n;i++) { 
                   4612:       sum=a[i][j]; 
                   4613:       for (k=1;k<j;k++) 
                   4614:        sum -= a[i][k]*a[k][j]; 
                   4615:       a[i][j]=sum; 
                   4616:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   4617:        big=dum; 
                   4618:        imax=i; 
                   4619:       } 
                   4620:     } 
                   4621:     if (j != imax) { 
                   4622:       for (k=1;k<=n;k++) { 
                   4623:        dum=a[imax][k]; 
                   4624:        a[imax][k]=a[j][k]; 
                   4625:        a[j][k]=dum; 
                   4626:       } 
                   4627:       *d = -(*d); 
                   4628:       vv[imax]=vv[j]; 
                   4629:     } 
                   4630:     indx[j]=imax; 
                   4631:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   4632:     if (j != n) { 
                   4633:       dum=1.0/(a[j][j]); 
                   4634:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   4635:     } 
                   4636:   } 
                   4637:   free_vector(vv,1,n);  /* Doesn't work */
                   4638: ;
                   4639: } 
                   4640: 
                   4641: void lubksb(double **a, int n, int *indx, double b[]) 
                   4642: { 
                   4643:   int i,ii=0,ip,j; 
                   4644:   double sum; 
                   4645:  
                   4646:   for (i=1;i<=n;i++) { 
                   4647:     ip=indx[i]; 
                   4648:     sum=b[ip]; 
                   4649:     b[ip]=b[i]; 
                   4650:     if (ii) 
                   4651:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   4652:     else if (sum) ii=i; 
                   4653:     b[i]=sum; 
                   4654:   } 
                   4655:   for (i=n;i>=1;i--) { 
                   4656:     sum=b[i]; 
                   4657:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   4658:     b[i]=sum/a[i][i]; 
                   4659:   } 
                   4660: } 
                   4661: 
                   4662: void pstamp(FILE *fichier)
                   4663: {
1.196     brouard  4664:   fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
1.126     brouard  4665: }
                   4666: 
1.297     brouard  4667: void date2dmy(double date,double *day, double *month, double *year){
                   4668:   double yp=0., yp1=0., yp2=0.;
                   4669:   
                   4670:   yp1=modf(date,&yp);/* extracts integral of date in yp  and
                   4671:                        fractional in yp1 */
                   4672:   *year=yp;
                   4673:   yp2=modf((yp1*12),&yp);
                   4674:   *month=yp;
                   4675:   yp1=modf((yp2*30.5),&yp);
                   4676:   *day=yp;
                   4677:   if(*day==0) *day=1;
                   4678:   if(*month==0) *month=1;
                   4679: }
                   4680: 
1.253     brouard  4681: 
                   4682: 
1.126     brouard  4683: /************ Frequencies ********************/
1.251     brouard  4684: void  freqsummary(char fileres[], double p[], double pstart[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, \
1.226     brouard  4685:                  int *Tvaraff, int *invalidvarcomb, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[], \
                   4686:                  int firstpass,  int lastpass, int stepm, int weightopt, char model[])
1.250     brouard  4687: {  /* Some frequencies as well as proposing some starting values */
1.226     brouard  4688:   
1.265     brouard  4689:   int i, m, jk, j1, bool, z1,j, nj, nl, k, iv, jj=0, s1=1, s2=1;
1.226     brouard  4690:   int iind=0, iage=0;
                   4691:   int mi; /* Effective wave */
                   4692:   int first;
                   4693:   double ***freq; /* Frequencies */
1.268     brouard  4694:   double *x, *y, a=0.,b=0.,r=1., sa=0., sb=0.; /* for regression, y=b+m*x and r is the correlation coefficient */
                   4695:   int no=0, linreg(int ifi, int ila, int *no, const double x[], const double y[], double* a, double* b, double* r, double* sa, double * sb);
1.284     brouard  4696:   double *meanq, *stdq, *idq;
1.226     brouard  4697:   double **meanqt;
                   4698:   double *pp, **prop, *posprop, *pospropt;
                   4699:   double pos=0., posproptt=0., pospropta=0., k2, dateintsum=0,k2cpt=0;
                   4700:   char fileresp[FILENAMELENGTH], fileresphtm[FILENAMELENGTH], fileresphtmfr[FILENAMELENGTH];
                   4701:   double agebegin, ageend;
                   4702:     
                   4703:   pp=vector(1,nlstate);
1.251     brouard  4704:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+4+AGEMARGE); 
1.226     brouard  4705:   posprop=vector(1,nlstate); /* Counting the number of transition starting from a live state per age */ 
                   4706:   pospropt=vector(1,nlstate); /* Counting the number of transition starting from a live state */ 
                   4707:   /* prop=matrix(1,nlstate,iagemin,iagemax+3); */
                   4708:   meanq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.284     brouard  4709:   stdq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.283     brouard  4710:   idq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.226     brouard  4711:   meanqt=matrix(1,lastpass,1,nqtveff);
                   4712:   strcpy(fileresp,"P_");
                   4713:   strcat(fileresp,fileresu);
                   4714:   /*strcat(fileresphtm,fileresu);*/
                   4715:   if((ficresp=fopen(fileresp,"w"))==NULL) {
                   4716:     printf("Problem with prevalence resultfile: %s\n", fileresp);
                   4717:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
                   4718:     exit(0);
                   4719:   }
1.240     brouard  4720:   
1.226     brouard  4721:   strcpy(fileresphtm,subdirfext(optionfilefiname,"PHTM_",".htm"));
                   4722:   if((ficresphtm=fopen(fileresphtm,"w"))==NULL) {
                   4723:     printf("Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   4724:     fprintf(ficlog,"Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   4725:     fflush(ficlog);
                   4726:     exit(70); 
                   4727:   }
                   4728:   else{
                   4729:     fprintf(ficresphtm,"<html><head>\n<title>IMaCh PHTM_ %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
1.240     brouard  4730: <hr size=\"2\" color=\"#EC5E5E\"> \n                                   \
1.214     brouard  4731: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  4732:            fileresphtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   4733:   }
1.319     brouard  4734:   fprintf(ficresphtm,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>Frequencies (weight=%d) and prevalence by age at begin of transition and dummy covariate value at beginning of transition</h4>\n",fileresphtm, fileresphtm, weightopt);
1.240     brouard  4735:   
1.226     brouard  4736:   strcpy(fileresphtmfr,subdirfext(optionfilefiname,"PHTMFR_",".htm"));
                   4737:   if((ficresphtmfr=fopen(fileresphtmfr,"w"))==NULL) {
                   4738:     printf("Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   4739:     fprintf(ficlog,"Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   4740:     fflush(ficlog);
                   4741:     exit(70); 
1.240     brouard  4742:   } else{
1.226     brouard  4743:     fprintf(ficresphtmfr,"<html><head>\n<title>IMaCh PHTM_Frequency table %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
1.319     brouard  4744: ,<hr size=\"2\" color=\"#EC5E5E\"> \n                                  \
1.214     brouard  4745: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  4746:            fileresphtmfr,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   4747:   }
1.319     brouard  4748:   fprintf(ficresphtmfr,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>(weight=%d) frequencies of all effective transitions of the model, by age at begin of transition, and covariate value at the begin of transition (if the covariate is a varying covariate) </h4>Unknown status is -1<br/>\n",fileresphtmfr, fileresphtmfr,weightopt);
1.240     brouard  4749:   
1.253     brouard  4750:   y= vector(iagemin-AGEMARGE,iagemax+4+AGEMARGE);
                   4751:   x= vector(iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.251     brouard  4752:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.226     brouard  4753:   j1=0;
1.126     brouard  4754:   
1.227     brouard  4755:   /* j=ncoveff;  /\* Only fixed dummy covariates *\/ */
                   4756:   j=cptcoveff;  /* Only dummy covariates of the model */
1.226     brouard  4757:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.240     brouard  4758:   
                   4759:   
1.226     brouard  4760:   /* Detects if a combination j1 is empty: for a multinomial variable like 3 education levels:
                   4761:      reference=low_education V1=0,V2=0
                   4762:      med_educ                V1=1 V2=0, 
                   4763:      high_educ               V1=0 V2=1
                   4764:      Then V1=1 and V2=1 is a noisy combination that we want to exclude for the list 2**cptcoveff 
                   4765:   */
1.249     brouard  4766:   dateintsum=0;
                   4767:   k2cpt=0;
                   4768: 
1.253     brouard  4769:   if(cptcoveff == 0 )
1.265     brouard  4770:     nl=1;  /* Constant and age model only */
1.253     brouard  4771:   else
                   4772:     nl=2;
1.265     brouard  4773: 
                   4774:   /* if a constant only model, one pass to compute frequency tables and to write it on ficresp */
                   4775:   /* Loop on nj=1 or 2 if dummy covariates j!=0
                   4776:    *   Loop on j1(1 to 2**cptcoveff) covariate combination
                   4777:    *     freq[s1][s2][iage] =0.
                   4778:    *     Loop on iind
                   4779:    *       ++freq[s1][s2][iage] weighted
                   4780:    *     end iind
                   4781:    *     if covariate and j!0
                   4782:    *       headers Variable on one line
                   4783:    *     endif cov j!=0
                   4784:    *     header of frequency table by age
                   4785:    *     Loop on age
                   4786:    *       pp[s1]+=freq[s1][s2][iage] weighted
                   4787:    *       pos+=freq[s1][s2][iage] weighted
                   4788:    *       Loop on s1 initial state
                   4789:    *         fprintf(ficresp
                   4790:    *       end s1
                   4791:    *     end age
                   4792:    *     if j!=0 computes starting values
                   4793:    *     end compute starting values
                   4794:    *   end j1
                   4795:    * end nl 
                   4796:    */
1.253     brouard  4797:   for (nj = 1; nj <= nl; nj++){   /* nj= 1 constant model, nl number of loops. */
                   4798:     if(nj==1)
                   4799:       j=0;  /* First pass for the constant */
1.265     brouard  4800:     else{
1.253     brouard  4801:       j=cptcoveff; /* Other passes for the covariate values */
1.265     brouard  4802:     }
1.251     brouard  4803:     first=1;
1.265     brouard  4804:     for (j1 = 1; j1 <= (int) pow(2,j); j1++){ /* Loop on all covariates combination of the model, excluding quantitatives, V4=0, V3=0 for example, fixed or varying covariates */
1.251     brouard  4805:       posproptt=0.;
                   4806:       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
                   4807:        scanf("%d", i);*/
                   4808:       for (i=-5; i<=nlstate+ndeath; i++)  
1.265     brouard  4809:        for (s2=-5; s2<=nlstate+ndeath; s2++)  
1.251     brouard  4810:          for(m=iagemin; m <= iagemax+3; m++)
1.265     brouard  4811:            freq[i][s2][m]=0;
1.251     brouard  4812:       
                   4813:       for (i=1; i<=nlstate; i++)  {
1.240     brouard  4814:        for(m=iagemin; m <= iagemax+3; m++)
1.251     brouard  4815:          prop[i][m]=0;
                   4816:        posprop[i]=0;
                   4817:        pospropt[i]=0;
                   4818:       }
1.283     brouard  4819:       for (z1=1; z1<= nqfveff; z1++) { /* zeroing for each combination j1 as well as for the total */
1.284     brouard  4820:         idq[z1]=0.;
                   4821:         meanq[z1]=0.;
                   4822:         stdq[z1]=0.;
1.283     brouard  4823:       }
                   4824:       /* for (z1=1; z1<= nqtveff; z1++) { */
1.251     brouard  4825:       /*   for(m=1;m<=lastpass;m++){ */
1.283     brouard  4826:       /*         meanqt[m][z1]=0.; */
                   4827:       /*       } */
                   4828:       /* }       */
1.251     brouard  4829:       /* dateintsum=0; */
                   4830:       /* k2cpt=0; */
                   4831:       
1.265     brouard  4832:       /* For that combination of covariates j1 (V4=1 V3=0 for example), we count and print the frequencies in one pass */
1.251     brouard  4833:       for (iind=1; iind<=imx; iind++) { /* For each individual iind */
                   4834:        bool=1;
                   4835:        if(j !=0){
                   4836:          if(anyvaryingduminmodel==0){ /* If All fixed covariates */
                   4837:            if (cptcoveff >0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
                   4838:              for (z1=1; z1<=cptcoveff; z1++) { /* loops on covariates in the model */
                   4839:                /* if(Tvaraff[z1] ==-20){ */
                   4840:                /*       /\* sumnew+=cotvar[mw[mi][iind]][z1][iind]; *\/ */
                   4841:                /* }else  if(Tvaraff[z1] ==-10){ */
                   4842:                /*       /\* sumnew+=coqvar[z1][iind]; *\/ */
                   4843:                /* }else  */
                   4844:                if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){ /* for combination j1 of covariates */
1.265     brouard  4845:                  /* Tests if the value of the covariate z1 for this individual iind responded to combination j1 (V4=1 V3=0) */
1.251     brouard  4846:                  bool=0; /* bool should be equal to 1 to be selected, one covariate value failed */
                   4847:                  /* 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", 
                   4848:                     bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
                   4849:                     j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
                   4850:                  /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
                   4851:                } /* Onlyf fixed */
                   4852:              } /* end z1 */
                   4853:            } /* cptcovn > 0 */
                   4854:          } /* end any */
                   4855:        }/* end j==0 */
1.265     brouard  4856:        if (bool==1){ /* We selected an individual iind satisfying combination j1 (V4=1 V3=0) or all fixed covariates */
1.251     brouard  4857:          /* for(m=firstpass; m<=lastpass; m++){ */
1.284     brouard  4858:          for(mi=1; mi<wav[iind];mi++){ /* For each wave */
1.251     brouard  4859:            m=mw[mi][iind];
                   4860:            if(j!=0){
                   4861:              if(anyvaryingduminmodel==1){ /* Some are varying covariates */
                   4862:                for (z1=1; z1<=cptcoveff; z1++) {
                   4863:                  if( Fixed[Tmodelind[z1]]==1){
                   4864:                    iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   4865:                    if (cotvar[m][iv][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality. If covariate's 
                   4866:                                                                                      value is -1, we don't select. It differs from the 
                   4867:                                                                                      constant and age model which counts them. */
                   4868:                      bool=0; /* not selected */
                   4869:                  }else if( Fixed[Tmodelind[z1]]== 0) { /* fixed */
                   4870:                    if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   4871:                      bool=0;
                   4872:                    }
                   4873:                  }
                   4874:                }
                   4875:              }/* Some are varying covariates, we tried to speed up if all fixed covariates in the model, avoiding waves loop  */
                   4876:            } /* end j==0 */
                   4877:            /* bool =0 we keep that guy which corresponds to the combination of dummy values */
1.284     brouard  4878:            if(bool==1){ /*Selected */
1.251     brouard  4879:              /* dh[m][iind] or dh[mw[mi][iind]][iind] is the delay between two effective (mi) waves m=mw[mi][iind]
                   4880:                 and mw[mi+1][iind]. dh depends on stepm. */
                   4881:              agebegin=agev[m][iind]; /* Age at beginning of wave before transition*/
                   4882:              ageend=agev[m][iind]+(dh[m][iind])*stepm/YEARM; /* Age at end of wave and transition */
                   4883:              if(m >=firstpass && m <=lastpass){
                   4884:                k2=anint[m][iind]+(mint[m][iind]/12.);
                   4885:                /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   4886:                if(agev[m][iind]==0) agev[m][iind]=iagemax+1;  /* All ages equal to 0 are in iagemax+1 */
                   4887:                if(agev[m][iind]==1) agev[m][iind]=iagemax+2;  /* All ages equal to 1 are in iagemax+2 */
                   4888:                if (s[m][iind]>0 && s[m][iind]<=nlstate)  /* If status at wave m is known and a live state */
                   4889:                  prop[s[m][iind]][(int)agev[m][iind]] += weight[iind];  /* At age of beginning of transition, where status is known */
                   4890:                if (m<lastpass) {
                   4891:                  /* if(s[m][iind]==4 && s[m+1][iind]==4) */
                   4892:                  /*   printf(" num=%ld m=%d, iind=%d s1=%d s2=%d agev at m=%d\n", num[iind], m, iind,s[m][iind],s[m+1][iind], (int)agev[m][iind]); */
                   4893:                  if(s[m][iind]==-1)
                   4894:                    printf(" num=%ld m=%d, iind=%d s1=%d s2=%d agev at m=%d agebegin=%.2f ageend=%.2f, agemed=%d\n", num[iind], m, iind,s[m][iind],s[m+1][iind], (int)agev[m][iind],agebegin, ageend, (int)((agebegin+ageend)/2.));
                   4895:                  freq[s[m][iind]][s[m+1][iind]][(int)agev[m][iind]] += weight[iind]; /* At age of beginning of transition, where status is known */
1.311     brouard  4896:                  for (z1=1; z1<= nqfveff; z1++) { /* Quantitative variables, calculating mean on known values only */
                   4897:                    if(!isnan(covar[ncovcol+z1][iind])){
                   4898:                        idq[z1]=idq[z1]+weight[iind];
                   4899:                        meanq[z1]+=covar[ncovcol+z1][iind]*weight[iind];  /* Computes mean of quantitative with selected filter */
                   4900:                        /* stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]*weight[iind]; *//*error*/
                   4901:                        stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]; /* *weight[iind];*/  /* Computes mean of quantitative with selected filter */
                   4902:                    }
1.284     brouard  4903:                  }
1.251     brouard  4904:                  /* if((int)agev[m][iind] == 55) */
                   4905:                  /*   printf("j=%d, j1=%d Age %d, iind=%d, num=%09ld m=%d\n",j,j1,(int)agev[m][iind],iind, num[iind],m); */
                   4906:                  /* freq[s[m][iind]][s[m+1][iind]][(int)((agebegin+ageend)/2.)] += weight[iind]; */
                   4907:                  freq[s[m][iind]][s[m+1][iind]][iagemax+3] += weight[iind]; /* Total is in iagemax+3 *//* At age of beginning of transition, where status is known */
1.234     brouard  4908:                }
1.251     brouard  4909:              } /* end if between passes */  
                   4910:              if ((agev[m][iind]>1) && (agev[m][iind]< (iagemax+3)) && (anint[m][iind]!=9999) && (mint[m][iind]!=99) && (j==0)) {
                   4911:                dateintsum=dateintsum+k2; /* on all covariates ?*/
                   4912:                k2cpt++;
                   4913:                /* printf("iind=%ld dateintmean = %lf dateintsum=%lf k2cpt=%lf k2=%lf\n",iind, dateintsum/k2cpt, dateintsum,k2cpt, k2); */
1.234     brouard  4914:              }
1.251     brouard  4915:            }else{
                   4916:              bool=1;
                   4917:            }/* end bool 2 */
                   4918:          } /* end m */
1.284     brouard  4919:          /* for (z1=1; z1<= nqfveff; z1++) { /\* Quantitative variables, calculating mean *\/ */
                   4920:          /*   idq[z1]=idq[z1]+weight[iind]; */
                   4921:          /*   meanq[z1]+=covar[ncovcol+z1][iind]*weight[iind];  /\* Computes mean of quantitative with selected filter *\/ */
                   4922:          /*   stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]*weight[iind]; /\* *weight[iind];*\/  /\* Computes mean of quantitative with selected filter *\/ */
                   4923:          /* } */
1.251     brouard  4924:        } /* end bool */
                   4925:       } /* end iind = 1 to imx */
1.319     brouard  4926:       /* prop[s][age] is fed for any initial and valid live state as well as
1.251     brouard  4927:         freq[s1][s2][age] at single age of beginning the transition, for a combination j1 */
                   4928:       
                   4929:       
                   4930:       /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
1.265     brouard  4931:       if(cptcoveff==0 && nj==1) /* no covariate and first pass */
                   4932:         pstamp(ficresp);
1.251     brouard  4933:       if  (cptcoveff>0 && j!=0){
1.265     brouard  4934:         pstamp(ficresp);
1.251     brouard  4935:        printf( "\n#********** Variable "); 
                   4936:        fprintf(ficresp, "\n#********** Variable "); 
                   4937:        fprintf(ficresphtm, "\n<br/><br/><h3>********** Variable "); 
                   4938:        fprintf(ficresphtmfr, "\n<br/><br/><h3>********** Variable "); 
                   4939:        fprintf(ficlog, "\n#********** Variable "); 
                   4940:        for (z1=1; z1<=cptcoveff; z1++){
                   4941:          if(!FixedV[Tvaraff[z1]]){
                   4942:            printf( "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4943:            fprintf(ficresp, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4944:            fprintf(ficresphtm, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4945:            fprintf(ficresphtmfr, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4946:            fprintf(ficlog, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.250     brouard  4947:          }else{
1.251     brouard  4948:            printf( "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4949:            fprintf(ficresp, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4950:            fprintf(ficresphtm, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4951:            fprintf(ficresphtmfr, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4952:            fprintf(ficlog, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4953:          }
                   4954:        }
                   4955:        printf( "**********\n#");
                   4956:        fprintf(ficresp, "**********\n#");
                   4957:        fprintf(ficresphtm, "**********</h3>\n");
                   4958:        fprintf(ficresphtmfr, "**********</h3>\n");
                   4959:        fprintf(ficlog, "**********\n");
                   4960:       }
1.284     brouard  4961:       /*
                   4962:        Printing means of quantitative variables if any
                   4963:       */
                   4964:       for (z1=1; z1<= nqfveff; z1++) {
1.311     brouard  4965:        fprintf(ficlog,"Mean of fixed quantitative variable V%d on %.3g (weighted) individuals sum=%f", ncovcol+z1, idq[z1], meanq[z1]);
1.312     brouard  4966:        fprintf(ficlog,", mean=%.3g\n",meanq[z1]/idq[z1]);
1.284     brouard  4967:        if(weightopt==1){
                   4968:          printf(" Weighted mean and standard deviation of");
                   4969:          fprintf(ficlog," Weighted mean and standard deviation of");
                   4970:          fprintf(ficresphtmfr," Weighted mean and standard deviation of");
                   4971:        }
1.311     brouard  4972:        /* mu = \frac{w x}{\sum w}
                   4973:            var = \frac{\sum w (x-mu)^2}{\sum w} = \frac{w x^2}{\sum w} - mu^2 
                   4974:        */
                   4975:        printf(" fixed quantitative variable V%d on  %.3g (weighted) representatives of the population : %8.5g (%8.5g)\n", ncovcol+z1, idq[z1],meanq[z1]/idq[z1], sqrt(stdq[z1]/idq[z1]-meanq[z1]*meanq[z1]/idq[z1]/idq[z1]));
                   4976:        fprintf(ficlog," fixed quantitative variable V%d on  %.3g (weighted) representatives of the population : %8.5g (%8.5g)\n", ncovcol+z1, idq[z1],meanq[z1]/idq[z1], sqrt(stdq[z1]/idq[z1]-meanq[z1]*meanq[z1]/idq[z1]/idq[z1]));
                   4977:        fprintf(ficresphtmfr," fixed quantitative variable V%d on %.3g (weighted) representatives of the population : %8.5g (%8.5g)<p>\n", ncovcol+z1, idq[z1],meanq[z1]/idq[z1], sqrt(stdq[z1]/idq[z1]-meanq[z1]*meanq[z1]/idq[z1]/idq[z1]));
1.284     brouard  4978:       }
                   4979:       /* for (z1=1; z1<= nqtveff; z1++) { */
                   4980:       /*       for(m=1;m<=lastpass;m++){ */
                   4981:       /*         fprintf(ficresphtmfr,"V quantitative id %d, pass id=%d, mean=%f<p>\n", z1, m, meanqt[m][z1]); */
                   4982:       /*   } */
                   4983:       /* } */
1.283     brouard  4984: 
1.251     brouard  4985:       fprintf(ficresphtm,"<table style=\"text-align:center; border: 1px solid\">");
1.265     brouard  4986:       if((cptcoveff==0 && nj==1)|| nj==2 ) /* no covariate and first pass */
                   4987:         fprintf(ficresp, " Age");
                   4988:       if(nj==2) for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, " V%d=%d",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.251     brouard  4989:       for(i=1; i<=nlstate;i++) {
1.265     brouard  4990:        if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp," Prev(%d)  N(%d)  N  ",i,i);
1.251     brouard  4991:        fprintf(ficresphtm, "<th>Age</th><th>Prev(%d)</th><th>N(%d)</th><th>N</th>",i,i);
                   4992:       }
1.265     brouard  4993:       if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp, "\n");
1.251     brouard  4994:       fprintf(ficresphtm, "\n");
                   4995:       
                   4996:       /* Header of frequency table by age */
                   4997:       fprintf(ficresphtmfr,"<table style=\"text-align:center; border: 1px solid\">");
                   4998:       fprintf(ficresphtmfr,"<th>Age</th> ");
1.265     brouard  4999:       for(s2=-1; s2 <=nlstate+ndeath; s2++){
1.251     brouard  5000:        for(m=-1; m <=nlstate+ndeath; m++){
1.265     brouard  5001:          if(s2!=0 && m!=0)
                   5002:            fprintf(ficresphtmfr,"<th>%d%d</th> ",s2,m);
1.240     brouard  5003:        }
1.226     brouard  5004:       }
1.251     brouard  5005:       fprintf(ficresphtmfr, "\n");
                   5006:     
                   5007:       /* For each age */
                   5008:       for(iage=iagemin; iage <= iagemax+3; iage++){
                   5009:        fprintf(ficresphtm,"<tr>");
                   5010:        if(iage==iagemax+1){
                   5011:          fprintf(ficlog,"1");
                   5012:          fprintf(ficresphtmfr,"<tr><th>0</th> ");
                   5013:        }else if(iage==iagemax+2){
                   5014:          fprintf(ficlog,"0");
                   5015:          fprintf(ficresphtmfr,"<tr><th>Unknown</th> ");
                   5016:        }else if(iage==iagemax+3){
                   5017:          fprintf(ficlog,"Total");
                   5018:          fprintf(ficresphtmfr,"<tr><th>Total</th> ");
                   5019:        }else{
1.240     brouard  5020:          if(first==1){
1.251     brouard  5021:            first=0;
                   5022:            printf("See log file for details...\n");
                   5023:          }
                   5024:          fprintf(ficresphtmfr,"<tr><th>%d</th> ",iage);
                   5025:          fprintf(ficlog,"Age %d", iage);
                   5026:        }
1.265     brouard  5027:        for(s1=1; s1 <=nlstate ; s1++){
                   5028:          for(m=-1, pp[s1]=0; m <=nlstate+ndeath ; m++)
                   5029:            pp[s1] += freq[s1][m][iage]; 
1.251     brouard  5030:        }
1.265     brouard  5031:        for(s1=1; s1 <=nlstate ; s1++){
1.251     brouard  5032:          for(m=-1, pos=0; m <=0 ; m++)
1.265     brouard  5033:            pos += freq[s1][m][iage];
                   5034:          if(pp[s1]>=1.e-10){
1.251     brouard  5035:            if(first==1){
1.265     brouard  5036:              printf(" %d.=%.0f loss[%d]=%.1f%%",s1,pp[s1],s1,100*pos/pp[s1]);
1.251     brouard  5037:            }
1.265     brouard  5038:            fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",s1,pp[s1],s1,100*pos/pp[s1]);
1.251     brouard  5039:          }else{
                   5040:            if(first==1)
1.265     brouard  5041:              printf(" %d.=%.0f loss[%d]=NaNQ%%",s1,pp[s1],s1);
                   5042:            fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",s1,pp[s1],s1);
1.240     brouard  5043:          }
                   5044:        }
                   5045:       
1.265     brouard  5046:        for(s1=1; s1 <=nlstate ; s1++){ 
                   5047:          /* posprop[s1]=0; */
                   5048:          for(m=0, pp[s1]=0; m <=nlstate+ndeath; m++)/* Summing on all ages */
                   5049:            pp[s1] += freq[s1][m][iage];
                   5050:        }       /* pp[s1] is the total number of transitions starting from state s1 and any ending status until this age */
                   5051:       
                   5052:        for(s1=1,pos=0, pospropta=0.; s1 <=nlstate ; s1++){
                   5053:          pos += pp[s1]; /* pos is the total number of transitions until this age */
                   5054:          posprop[s1] += prop[s1][iage]; /* prop is the number of transitions from a live state
                   5055:                                            from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   5056:          pospropta += prop[s1][iage]; /* prop is the number of transitions from a live state
                   5057:                                          from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   5058:        }
                   5059:        
                   5060:        /* Writing ficresp */
                   5061:        if(cptcoveff==0 && nj==1){ /* no covariate and first pass */
                   5062:           if( iage <= iagemax){
                   5063:            fprintf(ficresp," %d",iage);
                   5064:           }
                   5065:         }else if( nj==2){
                   5066:           if( iage <= iagemax){
                   5067:            fprintf(ficresp," %d",iage);
                   5068:             for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, " %d %d",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   5069:           }
1.240     brouard  5070:        }
1.265     brouard  5071:        for(s1=1; s1 <=nlstate ; s1++){
1.240     brouard  5072:          if(pos>=1.e-5){
1.251     brouard  5073:            if(first==1)
1.265     brouard  5074:              printf(" %d.=%.0f prev[%d]=%.1f%%",s1,pp[s1],s1,100*pp[s1]/pos);
                   5075:            fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",s1,pp[s1],s1,100*pp[s1]/pos);
1.251     brouard  5076:          }else{
                   5077:            if(first==1)
1.265     brouard  5078:              printf(" %d.=%.0f prev[%d]=NaNQ%%",s1,pp[s1],s1);
                   5079:            fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",s1,pp[s1],s1);
1.251     brouard  5080:          }
                   5081:          if( iage <= iagemax){
                   5082:            if(pos>=1.e-5){
1.265     brouard  5083:              if(cptcoveff==0 && nj==1){ /* no covariate and first pass */
                   5084:                fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   5085:               }else if( nj==2){
                   5086:                fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   5087:               }
                   5088:              fprintf(ficresphtm,"<th>%d</th><td>%.5f</td><td>%.0f</td><td>%.0f</td>",iage,prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   5089:              /*probs[iage][s1][j1]= pp[s1]/pos;*/
                   5090:              /*printf("\niage=%d s1=%d j1=%d %.5f %.0f %.0f %f",iage,s1,j1,pp[s1]/pos, pp[s1],pos,probs[iage][s1][j1]);*/
                   5091:            } else{
                   5092:              if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp," NaNq %.0f %.0f",prop[s1][iage],pospropta);
                   5093:              fprintf(ficresphtm,"<th>%d</th><td>NaNq</td><td>%.0f</td><td>%.0f</td>",iage, prop[s1][iage],pospropta);
1.251     brouard  5094:            }
1.240     brouard  5095:          }
1.265     brouard  5096:          pospropt[s1] +=posprop[s1];
                   5097:        } /* end loop s1 */
1.251     brouard  5098:        /* pospropt=0.; */
1.265     brouard  5099:        for(s1=-1; s1 <=nlstate+ndeath; s1++){
1.251     brouard  5100:          for(m=-1; m <=nlstate+ndeath; m++){
1.265     brouard  5101:            if(freq[s1][m][iage] !=0 ) { /* minimizing output */
1.251     brouard  5102:              if(first==1){
1.265     brouard  5103:                printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]);
1.251     brouard  5104:              }
1.265     brouard  5105:              /* printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]); */
                   5106:              fprintf(ficlog," %d%d=%.0f",s1,m,freq[s1][m][iage]);
1.251     brouard  5107:            }
1.265     brouard  5108:            if(s1!=0 && m!=0)
                   5109:              fprintf(ficresphtmfr,"<td>%.0f</td> ",freq[s1][m][iage]);
1.240     brouard  5110:          }
1.265     brouard  5111:        } /* end loop s1 */
1.251     brouard  5112:        posproptt=0.; 
1.265     brouard  5113:        for(s1=1; s1 <=nlstate; s1++){
                   5114:          posproptt += pospropt[s1];
1.251     brouard  5115:        }
                   5116:        fprintf(ficresphtmfr,"</tr>\n ");
1.265     brouard  5117:        fprintf(ficresphtm,"</tr>\n");
                   5118:        if((cptcoveff==0 && nj==1)|| nj==2 ) {
                   5119:          if(iage <= iagemax)
                   5120:            fprintf(ficresp,"\n");
1.240     brouard  5121:        }
1.251     brouard  5122:        if(first==1)
                   5123:          printf("Others in log...\n");
                   5124:        fprintf(ficlog,"\n");
                   5125:       } /* end loop age iage */
1.265     brouard  5126:       
1.251     brouard  5127:       fprintf(ficresphtm,"<tr><th>Tot</th>");
1.265     brouard  5128:       for(s1=1; s1 <=nlstate ; s1++){
1.251     brouard  5129:        if(posproptt < 1.e-5){
1.265     brouard  5130:          fprintf(ficresphtm,"<td>Nanq</td><td>%.0f</td><td>%.0f</td>",pospropt[s1],posproptt); 
1.251     brouard  5131:        }else{
1.265     brouard  5132:          fprintf(ficresphtm,"<td>%.5f</td><td>%.0f</td><td>%.0f</td>",pospropt[s1]/posproptt,pospropt[s1],posproptt);  
1.240     brouard  5133:        }
1.226     brouard  5134:       }
1.251     brouard  5135:       fprintf(ficresphtm,"</tr>\n");
                   5136:       fprintf(ficresphtm,"</table>\n");
                   5137:       fprintf(ficresphtmfr,"</table>\n");
1.226     brouard  5138:       if(posproptt < 1.e-5){
1.251     brouard  5139:        fprintf(ficresphtm,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
                   5140:        fprintf(ficresphtmfr,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
1.260     brouard  5141:        fprintf(ficlog,"#  This combination (%d) is not valid and no result will be produced\n",j1);
                   5142:        printf("#  This combination (%d) is not valid and no result will be produced\n",j1);
1.251     brouard  5143:        invalidvarcomb[j1]=1;
1.226     brouard  5144:       }else{
1.251     brouard  5145:        fprintf(ficresphtm,"\n <p> This combination (%d) is valid and result will be produced.</p>",j1);
                   5146:        invalidvarcomb[j1]=0;
1.226     brouard  5147:       }
1.251     brouard  5148:       fprintf(ficresphtmfr,"</table>\n");
                   5149:       fprintf(ficlog,"\n");
                   5150:       if(j!=0){
                   5151:        printf("#Freqsummary: Starting values for combination j1=%d:\n", j1);
1.265     brouard  5152:        for(i=1,s1=1; i <=nlstate; i++){
1.251     brouard  5153:          for(k=1; k <=(nlstate+ndeath); k++){
                   5154:            if (k != i) {
1.265     brouard  5155:              for(jj=1; jj <=ncovmodel; jj++){ /* For counting s1 */
1.253     brouard  5156:                if(jj==1){  /* Constant case (in fact cste + age) */
1.251     brouard  5157:                  if(j1==1){ /* All dummy covariates to zero */
                   5158:                    freq[i][k][iagemax+4]=freq[i][k][iagemax+3]; /* Stores case 0 0 0 */
                   5159:                    freq[i][i][iagemax+4]=freq[i][i][iagemax+3]; /* Stores case 0 0 0 */
1.252     brouard  5160:                    printf("%d%d ",i,k);
                   5161:                    fprintf(ficlog,"%d%d ",i,k);
1.265     brouard  5162:                    printf("%12.7f ln(%.0f/%.0f)= %f, OR=%f sd=%f \n",p[s1],freq[i][k][iagemax+3],freq[i][i][iagemax+3], log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]),freq[i][k][iagemax+3]/freq[i][i][iagemax+3], sqrt(1/freq[i][k][iagemax+3]+1/freq[i][i][iagemax+3]));
                   5163:                    fprintf(ficlog,"%12.7f ln(%.0f/%.0f)= %12.7f \n",p[s1],freq[i][k][iagemax+3],freq[i][i][iagemax+3], log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]));
                   5164:                    pstart[s1]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]);
1.251     brouard  5165:                  }
1.253     brouard  5166:                }else if((j1==1) && (jj==2 || nagesqr==1)){ /* age or age*age parameter without covariate V4*age (to be done later) */
                   5167:                  for(iage=iagemin; iage <= iagemax+3; iage++){
                   5168:                    x[iage]= (double)iage;
                   5169:                    y[iage]= log(freq[i][k][iage]/freq[i][i][iage]);
1.265     brouard  5170:                    /* printf("i=%d, k=%d, s1=%d, j1=%d, jj=%d, y[%d]=%f\n",i,k,s1,j1,jj, iage, y[iage]); */
1.253     brouard  5171:                  }
1.268     brouard  5172:                  /* Some are not finite, but linreg will ignore these ages */
                   5173:                  no=0;
1.253     brouard  5174:                  linreg(iagemin,iagemax,&no,x,y,&a,&b,&r, &sa, &sb ); /* y= a+b*x with standard errors */
1.265     brouard  5175:                  pstart[s1]=b;
                   5176:                  pstart[s1-1]=a;
1.252     brouard  5177:                }else if( j1!=1 && (j1==2 || (log(j1-1.)/log(2.)-(int)(log(j1-1.)/log(2.))) <0.010) && ( TvarsDind[(int)(log(j1-1.)/log(2.))+1]+2+nagesqr == jj)  && Dummy[jj-2-nagesqr]==0){ /* We want only if the position, jj, in model corresponds to unique covariate equal to 1 in j1 combination */ 
                   5178:                  printf("j1=%d, jj=%d, (int)(log(j1-1.)/log(2.))+1=%d, TvarsDind[(int)(log(j1-1.)/log(2.))+1]=%d\n",j1, jj,(int)(log(j1-1.)/log(2.))+1,TvarsDind[(int)(log(j1-1.)/log(2.))+1]);
                   5179:                  printf("j1=%d, jj=%d, (log(j1-1.)/log(2.))+1=%f, TvarsDind[(int)(log(j1-1.)/log(2.))+1]=%d\n",j1, jj,(log(j1-1.)/log(2.))+1,TvarsDind[(int)(log(j1-1.)/log(2.))+1]);
1.265     brouard  5180:                  pstart[s1]= log((freq[i][k][iagemax+3]/freq[i][i][iagemax+3])/(freq[i][k][iagemax+4]/freq[i][i][iagemax+4]));
1.252     brouard  5181:                  printf("%d%d ",i,k);
                   5182:                  fprintf(ficlog,"%d%d ",i,k);
1.265     brouard  5183:                  printf("s1=%d,i=%d,k=%d,p[%d]=%12.7f ln((%.0f/%.0f)/(%.0f/%.0f))= %f, OR=%f sd=%f \n",s1,i,k,s1,p[s1],freq[i][k][iagemax+3],freq[i][i][iagemax+3],freq[i][k][iagemax+4],freq[i][i][iagemax+4], log((freq[i][k][iagemax+3]/freq[i][i][iagemax+3])/(freq[i][k][iagemax+4]/freq[i][i][iagemax+4])),(freq[i][k][iagemax+3]/freq[i][i][iagemax+3])/(freq[i][k][iagemax+4]/freq[i][i][iagemax+4]), sqrt(1/freq[i][k][iagemax+3]+1/freq[i][i][iagemax+3]+1/freq[i][k][iagemax+4]+1/freq[i][i][iagemax+4]));
1.251     brouard  5184:                }else{ /* Other cases, like quantitative fixed or varying covariates */
                   5185:                  ;
                   5186:                }
                   5187:                /* printf("%12.7f )", param[i][jj][k]); */
                   5188:                /* fprintf(ficlog,"%12.7f )", param[i][jj][k]); */
1.265     brouard  5189:                s1++; 
1.251     brouard  5190:              } /* end jj */
                   5191:            } /* end k!= i */
                   5192:          } /* end k */
1.265     brouard  5193:        } /* end i, s1 */
1.251     brouard  5194:       } /* end j !=0 */
                   5195:     } /* end selected combination of covariate j1 */
                   5196:     if(j==0){ /* We can estimate starting values from the occurences in each case */
                   5197:       printf("#Freqsummary: Starting values for the constants:\n");
                   5198:       fprintf(ficlog,"\n");
1.265     brouard  5199:       for(i=1,s1=1; i <=nlstate; i++){
1.251     brouard  5200:        for(k=1; k <=(nlstate+ndeath); k++){
                   5201:          if (k != i) {
                   5202:            printf("%d%d ",i,k);
                   5203:            fprintf(ficlog,"%d%d ",i,k);
                   5204:            for(jj=1; jj <=ncovmodel; jj++){
1.265     brouard  5205:              pstart[s1]=p[s1]; /* Setting pstart to p values by default */
1.253     brouard  5206:              if(jj==1){ /* Age has to be done */
1.265     brouard  5207:                pstart[s1]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]);
                   5208:                printf("%12.7f ln(%.0f/%.0f)= %12.7f ",p[s1],freq[i][k][iagemax+3],freq[i][i][iagemax+3], log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]));
                   5209:                fprintf(ficlog,"%12.7f ln(%.0f/%.0f)= %12.7f ",p[s1],freq[i][k][iagemax+3],freq[i][i][iagemax+3], log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]));
1.251     brouard  5210:              }
                   5211:              /* printf("%12.7f )", param[i][jj][k]); */
                   5212:              /* fprintf(ficlog,"%12.7f )", param[i][jj][k]); */
1.265     brouard  5213:              s1++; 
1.250     brouard  5214:            }
1.251     brouard  5215:            printf("\n");
                   5216:            fprintf(ficlog,"\n");
1.250     brouard  5217:          }
                   5218:        }
1.284     brouard  5219:       } /* end of state i */
1.251     brouard  5220:       printf("#Freqsummary\n");
                   5221:       fprintf(ficlog,"\n");
1.265     brouard  5222:       for(s1=-1; s1 <=nlstate+ndeath; s1++){
                   5223:        for(s2=-1; s2 <=nlstate+ndeath; s2++){
                   5224:          /* param[i]|j][k]= freq[s1][s2][iagemax+3] */
                   5225:          printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]);
                   5226:          fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]);
                   5227:          /* if(freq[s1][s2][iage] !=0 ) { /\* minimizing output *\/ */
                   5228:          /*   printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); */
                   5229:          /*   fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); */
1.251     brouard  5230:          /* } */
                   5231:        }
1.265     brouard  5232:       } /* end loop s1 */
1.251     brouard  5233:       
                   5234:       printf("\n");
                   5235:       fprintf(ficlog,"\n");
                   5236:     } /* end j=0 */
1.249     brouard  5237:   } /* end j */
1.252     brouard  5238: 
1.253     brouard  5239:   if(mle == -2){  /* We want to use these values as starting values */
1.252     brouard  5240:     for(i=1, jk=1; i <=nlstate; i++){
                   5241:       for(j=1; j <=nlstate+ndeath; j++){
                   5242:        if(j!=i){
                   5243:          /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   5244:          printf("%1d%1d",i,j);
                   5245:          fprintf(ficparo,"%1d%1d",i,j);
                   5246:          for(k=1; k<=ncovmodel;k++){
                   5247:            /*    printf(" %lf",param[i][j][k]); */
                   5248:            /*    fprintf(ficparo," %lf",param[i][j][k]); */
                   5249:            p[jk]=pstart[jk];
                   5250:            printf(" %f ",pstart[jk]);
                   5251:            fprintf(ficparo," %f ",pstart[jk]);
                   5252:            jk++;
                   5253:          }
                   5254:          printf("\n");
                   5255:          fprintf(ficparo,"\n");
                   5256:        }
                   5257:       }
                   5258:     }
                   5259:   } /* end mle=-2 */
1.226     brouard  5260:   dateintmean=dateintsum/k2cpt; 
1.296     brouard  5261:   date2dmy(dateintmean,&jintmean,&mintmean,&aintmean);
1.240     brouard  5262:   
1.226     brouard  5263:   fclose(ficresp);
                   5264:   fclose(ficresphtm);
                   5265:   fclose(ficresphtmfr);
1.283     brouard  5266:   free_vector(idq,1,nqfveff);
1.226     brouard  5267:   free_vector(meanq,1,nqfveff);
1.284     brouard  5268:   free_vector(stdq,1,nqfveff);
1.226     brouard  5269:   free_matrix(meanqt,1,lastpass,1,nqtveff);
1.253     brouard  5270:   free_vector(x, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
                   5271:   free_vector(y, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.251     brouard  5272:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.226     brouard  5273:   free_vector(pospropt,1,nlstate);
                   5274:   free_vector(posprop,1,nlstate);
1.251     brouard  5275:   free_matrix(prop,1,nlstate,iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.226     brouard  5276:   free_vector(pp,1,nlstate);
                   5277:   /* End of freqsummary */
                   5278: }
1.126     brouard  5279: 
1.268     brouard  5280: /* Simple linear regression */
                   5281: int linreg(int ifi, int ila, int *no, const double x[], const double y[], double* a, double* b, double* r, double* sa, double * sb) {
                   5282: 
                   5283:   /* y=a+bx regression */
                   5284:   double   sumx = 0.0;                        /* sum of x                      */
                   5285:   double   sumx2 = 0.0;                       /* sum of x**2                   */
                   5286:   double   sumxy = 0.0;                       /* sum of x * y                  */
                   5287:   double   sumy = 0.0;                        /* sum of y                      */
                   5288:   double   sumy2 = 0.0;                       /* sum of y**2                   */
                   5289:   double   sume2 = 0.0;                       /* sum of square or residuals */
                   5290:   double yhat;
                   5291:   
                   5292:   double denom=0;
                   5293:   int i;
                   5294:   int ne=*no;
                   5295:   
                   5296:   for ( i=ifi, ne=0;i<=ila;i++) {
                   5297:     if(!isfinite(x[i]) || !isfinite(y[i])){
                   5298:       /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */
                   5299:       continue;
                   5300:     }
                   5301:     ne=ne+1;
                   5302:     sumx  += x[i];       
                   5303:     sumx2 += x[i]*x[i];  
                   5304:     sumxy += x[i] * y[i];
                   5305:     sumy  += y[i];      
                   5306:     sumy2 += y[i]*y[i]; 
                   5307:     denom = (ne * sumx2 - sumx*sumx);
                   5308:     /* printf("ne=%d, i=%d,x[%d]=%f, y[%d]=%f sumx=%f, sumx2=%f, sumxy=%f, sumy=%f, sumy2=%f, denom=%f\n",ne,i,i,x[i],i,y[i], sumx, sumx2,sumxy, sumy, sumy2,denom); */
                   5309:   } 
                   5310:   
                   5311:   denom = (ne * sumx2 - sumx*sumx);
                   5312:   if (denom == 0) {
                   5313:     // vertical, slope m is infinity
                   5314:     *b = INFINITY;
                   5315:     *a = 0;
                   5316:     if (r) *r = 0;
                   5317:     return 1;
                   5318:   }
                   5319:   
                   5320:   *b = (ne * sumxy  -  sumx * sumy) / denom;
                   5321:   *a = (sumy * sumx2  -  sumx * sumxy) / denom;
                   5322:   if (r!=NULL) {
                   5323:     *r = (sumxy - sumx * sumy / ne) /          /* compute correlation coeff     */
                   5324:       sqrt((sumx2 - sumx*sumx/ne) *
                   5325:           (sumy2 - sumy*sumy/ne));
                   5326:   }
                   5327:   *no=ne;
                   5328:   for ( i=ifi, ne=0;i<=ila;i++) {
                   5329:     if(!isfinite(x[i]) || !isfinite(y[i])){
                   5330:       /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */
                   5331:       continue;
                   5332:     }
                   5333:     ne=ne+1;
                   5334:     yhat = y[i] - *a -*b* x[i];
                   5335:     sume2  += yhat * yhat ;       
                   5336:     
                   5337:     denom = (ne * sumx2 - sumx*sumx);
                   5338:     /* printf("ne=%d, i=%d,x[%d]=%f, y[%d]=%f sumx=%f, sumx2=%f, sumxy=%f, sumy=%f, sumy2=%f, denom=%f\n",ne,i,i,x[i],i,y[i], sumx, sumx2,sumxy, sumy, sumy2,denom); */
                   5339:   } 
                   5340:   *sb = sqrt(sume2/(double)(ne-2)/(sumx2 - sumx * sumx /(double)ne));
                   5341:   *sa= *sb * sqrt(sumx2/ne);
                   5342:   
                   5343:   return 0; 
                   5344: }
                   5345: 
1.126     brouard  5346: /************ Prevalence ********************/
1.227     brouard  5347: 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)
                   5348: {  
                   5349:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   5350:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   5351:      We still use firstpass and lastpass as another selection.
                   5352:   */
1.126     brouard  5353:  
1.227     brouard  5354:   int i, m, jk, j1, bool, z1,j, iv;
                   5355:   int mi; /* Effective wave */
                   5356:   int iage;
                   5357:   double agebegin, ageend;
                   5358: 
                   5359:   double **prop;
                   5360:   double posprop; 
                   5361:   double  y2; /* in fractional years */
                   5362:   int iagemin, iagemax;
                   5363:   int first; /** to stop verbosity which is redirected to log file */
                   5364: 
                   5365:   iagemin= (int) agemin;
                   5366:   iagemax= (int) agemax;
                   5367:   /*pp=vector(1,nlstate);*/
1.251     brouard  5368:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+4+AGEMARGE); 
1.227     brouard  5369:   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   5370:   j1=0;
1.222     brouard  5371:   
1.227     brouard  5372:   /*j=cptcoveff;*/
                   5373:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.222     brouard  5374:   
1.288     brouard  5375:   first=0;
1.227     brouard  5376:   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ /* For each combination of covariate */
                   5377:     for (i=1; i<=nlstate; i++)  
1.251     brouard  5378:       for(iage=iagemin-AGEMARGE; iage <= iagemax+4+AGEMARGE; iage++)
1.227     brouard  5379:        prop[i][iage]=0.0;
                   5380:     printf("Prevalence combination of varying and fixed dummies %d\n",j1);
                   5381:     /* fprintf(ficlog," V%d=%d ",Tvaraff[j1],nbcode[Tvaraff[j1]][codtabm(k,j1)]); */
                   5382:     fprintf(ficlog,"Prevalence combination of varying and fixed dummies %d\n",j1);
                   5383:     
                   5384:     for (i=1; i<=imx; i++) { /* Each individual */
                   5385:       bool=1;
                   5386:       /* for(m=firstpass; m<=lastpass; m++){/\* Other selection (we can limit to certain interviews*\/ */
                   5387:       for(mi=1; mi<wav[i];mi++){ /* For this wave too look where individual can be counted V4=0 V3=0 */
                   5388:        m=mw[mi][i];
                   5389:        /* Tmodelind[z1]=k is the position of the varying covariate in the model, but which # within 1 to ntv? */
                   5390:        /* Tvar[Tmodelind[z1]] is the n of Vn; n-ncovcol-nqv is the first time varying covariate or iv */
                   5391:        for (z1=1; z1<=cptcoveff; z1++){
                   5392:          if( Fixed[Tmodelind[z1]]==1){
                   5393:            iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   5394:            if (cotvar[m][iv][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality */
                   5395:              bool=0;
                   5396:          }else if( Fixed[Tmodelind[z1]]== 0)  /* fixed */
                   5397:            if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   5398:              bool=0;
                   5399:            }
                   5400:        }
                   5401:        if(bool==1){ /* Otherwise we skip that wave/person */
                   5402:          agebegin=agev[m][i]; /* Age at beginning of wave before transition*/
                   5403:          /* ageend=agev[m][i]+(dh[m][i])*stepm/YEARM; /\* Age at end of wave and transition *\/ */
                   5404:          if(m >=firstpass && m <=lastpass){
                   5405:            y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                   5406:            if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                   5407:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   5408:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
1.251     brouard  5409:              if((int)agev[m][i] <iagemin-AGEMARGE || (int)agev[m][i] >iagemax+4+AGEMARGE){
1.227     brouard  5410:                printf("Error on individual # %d agev[m][i]=%f <%d-%d or > %d+3+%d  m=%d; either change agemin or agemax or fix data\n",i, agev[m][i],iagemin,AGEMARGE, iagemax,AGEMARGE,m); 
                   5411:                exit(1);
                   5412:              }
                   5413:              if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   5414:                /*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]]);*/
                   5415:                prop[s[m][i]][(int)agev[m][i]] += weight[i];/* At age of beginning of transition, where status is known */
                   5416:                prop[s[m][i]][iagemax+3] += weight[i]; 
                   5417:              } /* end valid statuses */ 
                   5418:            } /* end selection of dates */
                   5419:          } /* end selection of waves */
                   5420:        } /* end bool */
                   5421:       } /* end wave */
                   5422:     } /* end individual */
                   5423:     for(i=iagemin; i <= iagemax+3; i++){  
                   5424:       for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
                   5425:        posprop += prop[jk][i]; 
                   5426:       } 
                   5427:       
                   5428:       for(jk=1; jk <=nlstate ; jk++){      
                   5429:        if( i <=  iagemax){ 
                   5430:          if(posprop>=1.e-5){ 
                   5431:            probs[i][jk][j1]= prop[jk][i]/posprop;
                   5432:          } else{
1.288     brouard  5433:            if(!first){
                   5434:              first=1;
1.266     brouard  5435:              printf("Warning Observed prevalence doesn't sum to 1 for state %d: probs[%d][%d][%d]=%lf because of lack of cases\nSee others in log file...\n",jk,i,jk, j1,probs[i][jk][j1]);
                   5436:            }else{
1.288     brouard  5437:              fprintf(ficlog,"Warning Observed prevalence doesn't sum to 1 for state %d: probs[%d][%d][%d]=%lf because of lack of cases.\n",jk,i,jk, j1,probs[i][jk][j1]);
1.227     brouard  5438:            }
                   5439:          }
                   5440:        } 
                   5441:       }/* end jk */ 
                   5442:     }/* end i */ 
1.222     brouard  5443:      /*} *//* end i1 */
1.227     brouard  5444:   } /* end j1 */
1.222     brouard  5445:   
1.227     brouard  5446:   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   5447:   /*free_vector(pp,1,nlstate);*/
1.251     brouard  5448:   free_matrix(prop,1,nlstate, iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.227     brouard  5449: }  /* End of prevalence */
1.126     brouard  5450: 
                   5451: /************* Waves Concatenation ***************/
                   5452: 
                   5453: 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)
                   5454: {
1.298     brouard  5455:   /* Concatenates waves: wav[i] is the number of effective (useful waves in the sense that a non interview is useless) of individual i.
1.126     brouard  5456:      Death is a valid wave (if date is known).
                   5457:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   5458:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
1.298     brouard  5459:      and mw[mi+1][i]. dh depends on stepm. s[m][i] exists for any wave from firstpass to lastpass
1.227     brouard  5460:   */
1.126     brouard  5461: 
1.224     brouard  5462:   int i=0, mi=0, m=0, mli=0;
1.126     brouard  5463:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   5464:      double sum=0., jmean=0.;*/
1.224     brouard  5465:   int first=0, firstwo=0, firsthree=0, firstfour=0, firstfiv=0;
1.126     brouard  5466:   int j, k=0,jk, ju, jl;
                   5467:   double sum=0.;
                   5468:   first=0;
1.214     brouard  5469:   firstwo=0;
1.217     brouard  5470:   firsthree=0;
1.218     brouard  5471:   firstfour=0;
1.164     brouard  5472:   jmin=100000;
1.126     brouard  5473:   jmax=-1;
                   5474:   jmean=0.;
1.224     brouard  5475: 
                   5476: /* Treating live states */
1.214     brouard  5477:   for(i=1; i<=imx; i++){  /* For simple cases and if state is death */
1.224     brouard  5478:     mi=0;  /* First valid wave */
1.227     brouard  5479:     mli=0; /* Last valid wave */
1.309     brouard  5480:     m=firstpass;  /* Loop on waves */
                   5481:     while(s[m][i] <= nlstate){  /* a live state or unknown state  */
1.227     brouard  5482:       if(m >firstpass && s[m][i]==s[m-1][i] && mint[m][i]==mint[m-1][i] && anint[m][i]==anint[m-1][i]){/* Two succesive identical information on wave m */
                   5483:        mli=m-1;/* mw[++mi][i]=m-1; */
                   5484:       }else if(s[m][i]>=1 || s[m][i]==-4 || s[m][i]==-5){ /* Since 0.98r4 if status=-2 vital status is really unknown, wave should be skipped */
1.309     brouard  5485:        mw[++mi][i]=m; /* Valid wave: incrementing mi and updating mi; mw[mi] is the wave number of mi_th valid transition   */
1.227     brouard  5486:        mli=m;
1.224     brouard  5487:       } /* else might be a useless wave  -1 and mi is not incremented and mw[mi] not updated */
                   5488:       if(m < lastpass){ /* m < lastpass, standard case */
1.227     brouard  5489:        m++; /* mi gives the "effective" current wave, m the current wave, go to next wave by incrementing m */
1.216     brouard  5490:       }
1.309     brouard  5491:       else{ /* m = lastpass, eventual special issue with warning */
1.224     brouard  5492: #ifdef UNKNOWNSTATUSNOTCONTRIBUTING
1.227     brouard  5493:        break;
1.224     brouard  5494: #else
1.317     brouard  5495:        if(s[m][i]==-1 && (int) andc[i] == 9999 && (int)anint[m][i] != 9999){ /* no death date and known date of interview, case -2 (vital status unknown is warned later */
1.227     brouard  5496:          if(firsthree == 0){
1.302     brouard  5497:            printf("Information! Unknown status for individual %ld line=%d occurred at last wave %d at known date %d/%d. Please, check if your unknown date of death %d/%d means a live state %d at wave %d. This case(%d)/wave(%d) contributes to the likelihood as 1-p_{%d%d} .\nOthers in log file only\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], (int) moisdc[i], (int) andc[i], s[m][i], m, i, m, s[m][i], nlstate+ndeath);
1.227     brouard  5498:            firsthree=1;
1.317     brouard  5499:          }else if(firsthree >=1 && firsthree < 10){
                   5500:            fprintf(ficlog,"Information! Unknown status for individual %ld line=%d occurred at last wave %d at known date %d/%d. Please, check if your unknown date of death %d/%d means a live state %d at wave %d. This case(%d)/wave(%d) contributes to the likelihood as 1-p_{%d%d} .\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], (int) moisdc[i], (int) andc[i], s[m][i], m, i, m, s[m][i], nlstate+ndeath);
                   5501:            firsthree++;
                   5502:          }else if(firsthree == 10){
                   5503:            printf("Information, too many Information flags: no more reported to log either\n");
                   5504:            fprintf(ficlog,"Information, too many Information flags: no more reported to log either\n");
                   5505:            firsthree++;
                   5506:          }else{
                   5507:            firsthree++;
1.227     brouard  5508:          }
1.309     brouard  5509:          mw[++mi][i]=m; /* Valid transition with unknown status */
1.227     brouard  5510:          mli=m;
                   5511:        }
                   5512:        if(s[m][i]==-2){ /* Vital status is really unknown */
                   5513:          nbwarn++;
1.309     brouard  5514:          if((int)anint[m][i] == 9999){  /*  Has the vital status really been verified?not a transition */
1.227     brouard  5515:            printf("Warning! Vital status for individual %ld (line=%d) at last wave %d interviewed at date %d/%d is unknown %d. Please, check if the vital status and the date of death %d/%d are really unknown. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], (int) moisdc[i], (int) andc[i], i, m);
                   5516:            fprintf(ficlog,"Warning! Vital status for individual %ld (line=%d) at last wave %d interviewed at date %d/%d is unknown %d. Please, check if the vital status and the date of death %d/%d are really unknown. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], (int) moisdc[i], (int) andc[i], i, m);
                   5517:          }
                   5518:          break;
                   5519:        }
                   5520:        break;
1.224     brouard  5521: #endif
1.227     brouard  5522:       }/* End m >= lastpass */
1.126     brouard  5523:     }/* end while */
1.224     brouard  5524: 
1.227     brouard  5525:     /* mi is the last effective wave, m is lastpass, mw[j][i] gives the # of j-th effective wave for individual i */
1.216     brouard  5526:     /* After last pass */
1.224     brouard  5527: /* Treating death states */
1.214     brouard  5528:     if (s[m][i] > nlstate){  /* In a death state */
1.227     brouard  5529:       /* if( mint[m][i]==mdc[m][i] && anint[m][i]==andc[m][i]){ /\* same date of death and date of interview *\/ */
                   5530:       /* } */
1.126     brouard  5531:       mi++;    /* Death is another wave */
                   5532:       /* if(mi==0)  never been interviewed correctly before death */
1.227     brouard  5533:       /* Only death is a correct wave */
1.126     brouard  5534:       mw[mi][i]=m;
1.257     brouard  5535:     } /* else not in a death state */
1.224     brouard  5536: #ifndef DISPATCHINGKNOWNDEATHAFTERLASTWAVE
1.257     brouard  5537:     else if ((int) andc[i] != 9999) {  /* Date of death is known */
1.218     brouard  5538:       if ((int)anint[m][i]!= 9999) { /* date of last interview is known */
1.309     brouard  5539:        if((andc[i]+moisdc[i]/12.) <=(anint[m][i]+mint[m][i]/12.)){ /* month of death occured before last wave month and status should have been death instead of -1 */
1.227     brouard  5540:          nbwarn++;
                   5541:          if(firstfiv==0){
1.309     brouard  5542:            printf("Warning! Death for individual %ld line=%d occurred at %d/%d before last wave %d, interviewed on %d/%d and should have been coded as death instead of '%d'. This case (%d)/wave (%d) is contributing to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
1.227     brouard  5543:            firstfiv=1;
                   5544:          }else{
1.309     brouard  5545:            fprintf(ficlog,"Warning! Death for individual %ld line=%d occurred at %d/%d before last wave %d, interviewed on %d/%d and should have been coded as death instead of '%d'. This case (%d)/wave (%d) is contributing to likelihood.\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
1.227     brouard  5546:          }
1.309     brouard  5547:            s[m][i]=nlstate+1; /* Fixing the status as death. Be careful if multiple death states */
                   5548:        }else{ /* Month of Death occured afer last wave month, potential bias */
1.227     brouard  5549:          nberr++;
                   5550:          if(firstwo==0){
1.309     brouard  5551:            printf("Error! Death for individual %ld line=%d occurred at %d/%d after last wave %d interviewed at %d/%d with status %d. Potential bias if other individuals are still alive on this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood. Please add a new fictitious wave at the date of last vital status scan, with a dead status. See documentation\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
1.227     brouard  5552:            firstwo=1;
                   5553:          }
1.309     brouard  5554:          fprintf(ficlog,"Error! Death for individual %ld line=%d occurred at %d/%d after last wave %d interviewed at %d/%d with status %d. Potential bias if other individuals are still alive on this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood. Please add a new fictitious wave at the date of last vital status scan, with a dead status. See documentation\n\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
1.227     brouard  5555:        }
1.257     brouard  5556:       }else{ /* if date of interview is unknown */
1.227     brouard  5557:        /* death is known but not confirmed by death status at any wave */
                   5558:        if(firstfour==0){
1.309     brouard  5559:          printf("Error! Death for individual %ld line=%d  occurred %d/%d but not confirmed by any death status for any wave, including last wave %d at unknown date %d/%d with status %d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
1.227     brouard  5560:          firstfour=1;
                   5561:        }
1.309     brouard  5562:        fprintf(ficlog,"Error! Death for individual %ld line=%d  occurred %d/%d but not confirmed by any death status for any wave, including last wave %d at unknown date %d/%d  with status %d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
1.214     brouard  5563:       }
1.224     brouard  5564:     } /* end if date of death is known */
                   5565: #endif
1.309     brouard  5566:     wav[i]=mi; /* mi should be the last effective wave (or mli),  */
                   5567:     /* wav[i]=mw[mi][i];   */
1.126     brouard  5568:     if(mi==0){
                   5569:       nbwarn++;
                   5570:       if(first==0){
1.227     brouard  5571:        printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   5572:        first=1;
1.126     brouard  5573:       }
                   5574:       if(first==1){
1.227     brouard  5575:        fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
1.126     brouard  5576:       }
                   5577:     } /* end mi==0 */
                   5578:   } /* End individuals */
1.214     brouard  5579:   /* wav and mw are no more changed */
1.223     brouard  5580:        
1.317     brouard  5581:   printf("Information, you have to check %d informations which haven't been logged!\n",firsthree);
                   5582:   fprintf(ficlog,"Information, you have to check %d informations which haven't been logged!\n",firsthree);
                   5583: 
                   5584: 
1.126     brouard  5585:   for(i=1; i<=imx; i++){
                   5586:     for(mi=1; mi<wav[i];mi++){
                   5587:       if (stepm <=0)
1.227     brouard  5588:        dh[mi][i]=1;
1.126     brouard  5589:       else{
1.260     brouard  5590:        if (s[mw[mi+1][i]][i] > nlstate) { /* A death, but what if date is unknown? */
1.227     brouard  5591:          if (agedc[i] < 2*AGESUP) {
                   5592:            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   5593:            if(j==0) j=1;  /* Survives at least one month after exam */
                   5594:            else if(j<0){
                   5595:              nberr++;
                   5596:              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]);
                   5597:              j=1; /* Temporary Dangerous patch */
                   5598:              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);
                   5599:              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]);
                   5600:              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);
                   5601:            }
                   5602:            k=k+1;
                   5603:            if (j >= jmax){
                   5604:              jmax=j;
                   5605:              ijmax=i;
                   5606:            }
                   5607:            if (j <= jmin){
                   5608:              jmin=j;
                   5609:              ijmin=i;
                   5610:            }
                   5611:            sum=sum+j;
                   5612:            /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   5613:            /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   5614:          }
                   5615:        }
                   5616:        else{
                   5617:          j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
1.126     brouard  5618: /*       if (j<0) printf("%d %lf %lf %d %d %d\n", i,agev[mw[mi+1][i]][i], agev[mw[mi][i]][i],j,s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]); */
1.223     brouard  5619:                                        
1.227     brouard  5620:          k=k+1;
                   5621:          if (j >= jmax) {
                   5622:            jmax=j;
                   5623:            ijmax=i;
                   5624:          }
                   5625:          else if (j <= jmin){
                   5626:            jmin=j;
                   5627:            ijmin=i;
                   5628:          }
                   5629:          /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   5630:          /*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]);*/
                   5631:          if(j<0){
                   5632:            nberr++;
                   5633:            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]);
                   5634:            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]);
                   5635:          }
                   5636:          sum=sum+j;
                   5637:        }
                   5638:        jk= j/stepm;
                   5639:        jl= j -jk*stepm;
                   5640:        ju= j -(jk+1)*stepm;
                   5641:        if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   5642:          if(jl==0){
                   5643:            dh[mi][i]=jk;
                   5644:            bh[mi][i]=0;
                   5645:          }else{ /* We want a negative bias in order to only have interpolation ie
                   5646:                  * to avoid the price of an extra matrix product in likelihood */
                   5647:            dh[mi][i]=jk+1;
                   5648:            bh[mi][i]=ju;
                   5649:          }
                   5650:        }else{
                   5651:          if(jl <= -ju){
                   5652:            dh[mi][i]=jk;
                   5653:            bh[mi][i]=jl;       /* bias is positive if real duration
                   5654:                                 * is higher than the multiple of stepm and negative otherwise.
                   5655:                                 */
                   5656:          }
                   5657:          else{
                   5658:            dh[mi][i]=jk+1;
                   5659:            bh[mi][i]=ju;
                   5660:          }
                   5661:          if(dh[mi][i]==0){
                   5662:            dh[mi][i]=1; /* At least one step */
                   5663:            bh[mi][i]=ju; /* At least one step */
                   5664:            /*  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);*/
                   5665:          }
                   5666:        } /* end if mle */
1.126     brouard  5667:       }
                   5668:     } /* end wave */
                   5669:   }
                   5670:   jmean=sum/k;
                   5671:   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  5672:   fprintf(ficlog,"Delay (in months) between two waves Min=%d (for indiviudal %d) Max=%d (%d) Mean=%f\n\n ",jmin, ijmin, jmax, ijmax, jmean);
1.227     brouard  5673: }
1.126     brouard  5674: 
                   5675: /*********** Tricode ****************************/
1.220     brouard  5676:  void tricode(int *cptcov, int *Tvar, int **nbcode, int imx, int *Ndum)
1.242     brouard  5677:  {
                   5678:    /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   5679:    /*    Tvar[i]=atoi(stre);  find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1 
                   5680:     * Boring subroutine which should only output nbcode[Tvar[j]][k]
                   5681:     * Tvar[5] in V2+V1+V3*age+V2*V4 is 4 (V4) even it is a time varying or quantitative variable
                   5682:     * nbcode[Tvar[5]][1]= nbcode[4][1]=0, nbcode[4][2]=1 (usually);
                   5683:     */
1.130     brouard  5684: 
1.242     brouard  5685:    int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
                   5686:    int modmaxcovj=0; /* Modality max of covariates j */
                   5687:    int cptcode=0; /* Modality max of covariates j */
                   5688:    int modmincovj=0; /* Modality min of covariates j */
1.145     brouard  5689: 
                   5690: 
1.242     brouard  5691:    /* cptcoveff=0;  */
                   5692:    /* *cptcov=0; */
1.126     brouard  5693:  
1.242     brouard  5694:    for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.285     brouard  5695:    for (k=1; k <= maxncov; k++)
                   5696:      for(j=1; j<=2; j++)
                   5697:        nbcode[k][j]=0; /* Valgrind */
1.126     brouard  5698: 
1.242     brouard  5699:    /* Loop on covariates without age and products and no quantitative variable */
                   5700:    for (k=1; k<=cptcovt; k++) { /* From model V1 + V2*age + V3 + V3*V4 keeps V1 + V3 = 2 only */
                   5701:      for (j=-1; (j < maxncov); j++) Ndum[j]=0;
                   5702:      if(Dummy[k]==0 && Typevar[k] !=1){ /* Dummy covariate and not age product */ 
                   5703:        switch(Fixed[k]) {
                   5704:        case 0: /* Testing on fixed dummy covariate, simple or product of fixed */
1.311     brouard  5705:         modmaxcovj=0;
                   5706:         modmincovj=0;
1.242     brouard  5707:         for (i=1; i<=imx; i++) { /* Loop on individuals: reads the data file to get the maximum value of the  modality of this covariate Vj*/
                   5708:           ij=(int)(covar[Tvar[k]][i]);
                   5709:           /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                   5710:            * If product of Vn*Vm, still boolean *:
                   5711:            * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                   5712:            * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
                   5713:           /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
                   5714:              modality of the nth covariate of individual i. */
                   5715:           if (ij > modmaxcovj)
                   5716:             modmaxcovj=ij; 
                   5717:           else if (ij < modmincovj) 
                   5718:             modmincovj=ij; 
1.287     brouard  5719:           if (ij <0 || ij >1 ){
1.311     brouard  5720:             printf("ERROR, IMaCh doesn't treat covariate with missing values V%d=-1, individual %d will be skipped.\n",Tvar[k],i);
                   5721:             fprintf(ficlog,"ERROR, currently IMaCh doesn't treat covariate with missing values V%d=-1, individual %d will be skipped.\n",Tvar[k],i);
                   5722:             fflush(ficlog);
                   5723:             exit(1);
1.287     brouard  5724:           }
                   5725:           if ((ij < -1) || (ij > NCOVMAX)){
1.242     brouard  5726:             printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
                   5727:             exit(1);
                   5728:           }else
                   5729:             Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
                   5730:           /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
                   5731:           /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
                   5732:           /* getting the maximum value of the modality of the covariate
                   5733:              (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
                   5734:              female ies 1, then modmaxcovj=1.
                   5735:           */
                   5736:         } /* end for loop on individuals i */
                   5737:         printf(" Minimal and maximal values of %d th (fixed) covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   5738:         fprintf(ficlog," Minimal and maximal values of %d th (fixed) covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   5739:         cptcode=modmaxcovj;
                   5740:         /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
                   5741:         /*for (i=0; i<=cptcode; i++) {*/
                   5742:         for (j=modmincovj;  j<=modmaxcovj; j++) { /* j=-1 ? 0 and 1*//* For each value j of the modality of model-cov k */
                   5743:           printf("Frequencies of (fixed) covariate %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   5744:           fprintf(ficlog, "Frequencies of (fixed) covariate %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   5745:           if( Ndum[j] != 0 ){ /* Counts if nobody answered modality j ie empty modality, we skip it and reorder */
                   5746:             if( j != -1){
                   5747:               ncodemax[k]++;  /* ncodemax[k]= Number of modalities of the k th
                   5748:                                  covariate for which somebody answered excluding 
                   5749:                                  undefined. Usually 2: 0 and 1. */
                   5750:             }
                   5751:             ncodemaxwundef[k]++; /* ncodemax[j]= Number of modalities of the k th
                   5752:                                     covariate for which somebody answered including 
                   5753:                                     undefined. Usually 3: -1, 0 and 1. */
                   5754:           }    /* In fact  ncodemax[k]=2 (dichotom. variables only) but it could be more for
                   5755:                 * historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
                   5756:         } /* Ndum[-1] number of undefined modalities */
1.231     brouard  5757:                        
1.242     brouard  5758:         /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
                   5759:         /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. */
                   5760:         /* If Ndum[1]=0, Ndum[2]=0, Ndum[3]= 635, Ndum[4]=0, Ndum[5]=0, Ndum[6]=27, Ndum[7]=125; */
                   5761:         /* modmincovj=3; modmaxcovj = 7; */
                   5762:         /* There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3; */
                   5763:         /* which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10; */
                   5764:         /*              defining two dummy variables: variables V1_1 and V1_2.*/
                   5765:         /* nbcode[Tvar[j]][ij]=k; */
                   5766:         /* nbcode[Tvar[j]][1]=0; */
                   5767:         /* nbcode[Tvar[j]][2]=1; */
                   5768:         /* nbcode[Tvar[j]][3]=2; */
                   5769:         /* To be continued (not working yet). */
                   5770:         ij=0; /* ij is similar to i but can jump over null modalities */
1.287     brouard  5771: 
                   5772:         /* 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*/
                   5773:         /* Skipping the case of missing values by reducing nbcode to 0 and 1 and not -1, 0, 1 */
                   5774:         /* model=V1+V2+V3, if V2=-1, 0 or 1, then nbcode[2][1]=0 and nbcode[2][2]=1 instead of
                   5775:          * nbcode[2][1]=-1, nbcode[2][2]=0 and nbcode[2][3]=1 */
                   5776:         /*, could be restored in the future */
                   5777:         for (i=0; i<=1; i++) { /* i= 1 to 2 for dichotomous, or from 1 to 3 or from -1 or 0 to 1 currently*/
1.242     brouard  5778:           if (Ndum[i] == 0) { /* If nobody responded to this modality k */
                   5779:             break;
                   5780:           }
                   5781:           ij++;
1.287     brouard  5782:           nbcode[Tvar[k]][ij]=i;  /* stores the original value of modality i in an array nbcode, ij modality from 1 to last non-nul modality. nbcode[1][1]=0 nbcode[1][2]=1 . Could be -1*/
1.242     brouard  5783:           cptcode = ij; /* New max modality for covar j */
                   5784:         } /* end of loop on modality i=-1 to 1 or more */
                   5785:         break;
                   5786:        case 1: /* Testing on varying covariate, could be simple and
                   5787:                * should look at waves or product of fixed *
                   5788:                * varying. No time to test -1, assuming 0 and 1 only */
                   5789:         ij=0;
                   5790:         for(i=0; i<=1;i++){
                   5791:           nbcode[Tvar[k]][++ij]=i;
                   5792:         }
                   5793:         break;
                   5794:        default:
                   5795:         break;
                   5796:        } /* end switch */
                   5797:      } /* end dummy test */
1.311     brouard  5798:      if(Dummy[k]==1 && Typevar[k] !=1){ /* Dummy covariate and not age product */ 
                   5799:        for (i=1; i<=imx; i++) { /* Loop on individuals: reads the data file to get the maximum value of the  modality of this covariate Vj*/
                   5800:         if(isnan(covar[Tvar[k]][i])){
                   5801:           printf("ERROR, IMaCh doesn't treat fixed quantitative covariate with missing values V%d=., individual %d will be skipped.\n",Tvar[k],i);
                   5802:           fprintf(ficlog,"ERROR, currently IMaCh doesn't treat covariate with missing values V%d=., individual %d will be skipped.\n",Tvar[k],i);
                   5803:           fflush(ficlog);
                   5804:           exit(1);
                   5805:          }
                   5806:        }
                   5807:      }
1.287     brouard  5808:    } /* end of loop on model-covariate k. nbcode[Tvark][1]=-1, nbcode[Tvark][1]=0 and nbcode[Tvark][2]=1 sets the value of covariate k*/  
1.242     brouard  5809:   
                   5810:    for (k=-1; k< maxncov; k++) Ndum[k]=0; 
                   5811:    /* Look at fixed dummy (single or product) covariates to check empty modalities */
                   5812:    for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
                   5813:      /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
                   5814:      ij=Tvar[i]; /* Tvar 5,4,3,6,5,7,1,4 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V4*age */ 
                   5815:      Ndum[ij]++; /* Count the # of 1, 2 etc: {1,1,1,2,2,1,1} because V1 once, V2 once, two V4 and V5 in above */
                   5816:      /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1,  {2, 1, 1, 1, 2, 1, 1, 0, 0} */
                   5817:    } /* V4+V3+V5, Ndum[1]@5={0, 0, 1, 1, 1} */
                   5818:   
                   5819:    ij=0;
                   5820:    /* for (i=0; i<=  maxncov-1; i++) { /\* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) *\/ */
                   5821:    for (k=1; k<=  cptcovt; k++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
                   5822:      /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
                   5823:      /* if((Ndum[i]!=0) && (i<=ncovcol)){  /\* Tvar[i] <= ncovmodel ? *\/ */
                   5824:      if(Ndum[Tvar[k]]!=0 && Dummy[k] == 0 && Typevar[k]==0){  /* Only Dummy and non empty in the model */
                   5825:        /* If product not in single variable we don't print results */
                   5826:        /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
                   5827:        ++ij;/* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, */
                   5828:        Tvaraff[ij]=Tvar[k]; /* For printing combination *//* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, Tvar {5, 4, 3, 6, 5, 2, 7, 1, 1} Tvaraff={4, 3, 1} V4, V3, V1*/
                   5829:        Tmodelind[ij]=k; /* Tmodelind: index in model of dummies Tmodelind[1]=2 V4: pos=2; V3: pos=3, V1=9 {2, 3, 9, ?, ?,} */
                   5830:        TmodelInvind[ij]=Tvar[k]- ncovcol-nqv; /* Inverse TmodelInvind[2=V4]=2 second dummy varying cov (V4)4-1-1 {0, 2, 1, } TmodelInvind[3]=1 */
                   5831:        if(Fixed[k]!=0)
                   5832:         anyvaryingduminmodel=1;
                   5833:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv)){ */
                   5834:        /*   Tvaraff[++ij]=-10; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   5835:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv)){ */
                   5836:        /*   Tvaraff[++ij]=i; /\*For printing (unclear) *\/ */
                   5837:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv+nqtv)){ */
                   5838:        /*   Tvaraff[++ij]=-20; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   5839:      } 
                   5840:    } /* Tvaraff[1]@5 {3, 4, -20, 0, 0} Very strange */
                   5841:    /* ij--; */
                   5842:    /* cptcoveff=ij; /\*Number of total covariates*\/ */
                   5843:    *cptcov=ij; /*Number of total real effective covariates: effective
                   5844:                * because they can be excluded from the model and real
                   5845:                * if in the model but excluded because missing values, but how to get k from ij?*/
                   5846:    for(j=ij+1; j<= cptcovt; j++){
                   5847:      Tvaraff[j]=0;
                   5848:      Tmodelind[j]=0;
                   5849:    }
                   5850:    for(j=ntveff+1; j<= cptcovt; j++){
                   5851:      TmodelInvind[j]=0;
                   5852:    }
                   5853:    /* To be sorted */
                   5854:    ;
                   5855:  }
1.126     brouard  5856: 
1.145     brouard  5857: 
1.126     brouard  5858: /*********** Health Expectancies ****************/
                   5859: 
1.235     brouard  5860:  void evsij(double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,char strstart[], int nres )
1.126     brouard  5861: 
                   5862: {
                   5863:   /* Health expectancies, no variances */
1.164     brouard  5864:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  5865:   int nhstepma, nstepma; /* Decreasing with age */
                   5866:   double age, agelim, hf;
                   5867:   double ***p3mat;
                   5868:   double eip;
                   5869: 
1.238     brouard  5870:   /* pstamp(ficreseij); */
1.126     brouard  5871:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   5872:   fprintf(ficreseij,"# Age");
                   5873:   for(i=1; i<=nlstate;i++){
                   5874:     for(j=1; j<=nlstate;j++){
                   5875:       fprintf(ficreseij," e%1d%1d ",i,j);
                   5876:     }
                   5877:     fprintf(ficreseij," e%1d. ",i);
                   5878:   }
                   5879:   fprintf(ficreseij,"\n");
                   5880: 
                   5881:   
                   5882:   if(estepm < stepm){
                   5883:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   5884:   }
                   5885:   else  hstepm=estepm;   
                   5886:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   5887:    * This is mainly to measure the difference between two models: for example
                   5888:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   5889:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   5890:    * progression in between and thus overestimating or underestimating according
                   5891:    * to the curvature of the survival function. If, for the same date, we 
                   5892:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   5893:    * to compare the new estimate of Life expectancy with the same linear 
                   5894:    * hypothesis. A more precise result, taking into account a more precise
                   5895:    * curvature will be obtained if estepm is as small as stepm. */
                   5896: 
                   5897:   /* For example we decided to compute the life expectancy with the smallest unit */
                   5898:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5899:      nhstepm is the number of hstepm from age to agelim 
                   5900:      nstepm is the number of stepm from age to agelin. 
1.270     brouard  5901:      Look at hpijx to understand the reason which relies in memory size consideration
1.126     brouard  5902:      and note for a fixed period like estepm months */
                   5903:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   5904:      survival function given by stepm (the optimization length). Unfortunately it
                   5905:      means that if the survival funtion is printed only each two years of age and if
                   5906:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5907:      results. So we changed our mind and took the option of the best precision.
                   5908:   */
                   5909:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5910: 
                   5911:   agelim=AGESUP;
                   5912:   /* If stepm=6 months */
                   5913:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   5914:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   5915:     
                   5916: /* nhstepm age range expressed in number of stepm */
                   5917:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5918:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5919:   /* if (stepm >= YEARM) hstepm=1;*/
                   5920:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5921:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5922: 
                   5923:   for (age=bage; age<=fage; age ++){ 
                   5924:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5925:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5926:     /* if (stepm >= YEARM) hstepm=1;*/
                   5927:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   5928: 
                   5929:     /* If stepm=6 months */
                   5930:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   5931:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   5932:     
1.235     brouard  5933:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij, nres);  
1.126     brouard  5934:     
                   5935:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   5936:     
                   5937:     printf("%d|",(int)age);fflush(stdout);
                   5938:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   5939:     
                   5940:     /* Computing expectancies */
                   5941:     for(i=1; i<=nlstate;i++)
                   5942:       for(j=1; j<=nlstate;j++)
                   5943:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   5944:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   5945:          
                   5946:          /* 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]);*/
                   5947: 
                   5948:        }
                   5949: 
                   5950:     fprintf(ficreseij,"%3.0f",age );
                   5951:     for(i=1; i<=nlstate;i++){
                   5952:       eip=0;
                   5953:       for(j=1; j<=nlstate;j++){
                   5954:        eip +=eij[i][j][(int)age];
                   5955:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   5956:       }
                   5957:       fprintf(ficreseij,"%9.4f", eip );
                   5958:     }
                   5959:     fprintf(ficreseij,"\n");
                   5960:     
                   5961:   }
                   5962:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5963:   printf("\n");
                   5964:   fprintf(ficlog,"\n");
                   5965:   
                   5966: }
                   5967: 
1.235     brouard  5968:  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[], int nres )
1.126     brouard  5969: 
                   5970: {
                   5971:   /* Covariances of health expectancies eij and of total life expectancies according
1.222     brouard  5972:      to initial status i, ei. .
1.126     brouard  5973:   */
                   5974:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   5975:   int nhstepma, nstepma; /* Decreasing with age */
                   5976:   double age, agelim, hf;
                   5977:   double ***p3matp, ***p3matm, ***varhe;
                   5978:   double **dnewm,**doldm;
                   5979:   double *xp, *xm;
                   5980:   double **gp, **gm;
                   5981:   double ***gradg, ***trgradg;
                   5982:   int theta;
                   5983: 
                   5984:   double eip, vip;
                   5985: 
                   5986:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   5987:   xp=vector(1,npar);
                   5988:   xm=vector(1,npar);
                   5989:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   5990:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   5991:   
                   5992:   pstamp(ficresstdeij);
                   5993:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   5994:   fprintf(ficresstdeij,"# Age");
                   5995:   for(i=1; i<=nlstate;i++){
                   5996:     for(j=1; j<=nlstate;j++)
                   5997:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   5998:     fprintf(ficresstdeij," e%1d. ",i);
                   5999:   }
                   6000:   fprintf(ficresstdeij,"\n");
                   6001: 
                   6002:   pstamp(ficrescveij);
                   6003:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   6004:   fprintf(ficrescveij,"# Age");
                   6005:   for(i=1; i<=nlstate;i++)
                   6006:     for(j=1; j<=nlstate;j++){
                   6007:       cptj= (j-1)*nlstate+i;
                   6008:       for(i2=1; i2<=nlstate;i2++)
                   6009:        for(j2=1; j2<=nlstate;j2++){
                   6010:          cptj2= (j2-1)*nlstate+i2;
                   6011:          if(cptj2 <= cptj)
                   6012:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   6013:        }
                   6014:     }
                   6015:   fprintf(ficrescveij,"\n");
                   6016:   
                   6017:   if(estepm < stepm){
                   6018:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   6019:   }
                   6020:   else  hstepm=estepm;   
                   6021:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   6022:    * This is mainly to measure the difference between two models: for example
                   6023:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   6024:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   6025:    * progression in between and thus overestimating or underestimating according
                   6026:    * to the curvature of the survival function. If, for the same date, we 
                   6027:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   6028:    * to compare the new estimate of Life expectancy with the same linear 
                   6029:    * hypothesis. A more precise result, taking into account a more precise
                   6030:    * curvature will be obtained if estepm is as small as stepm. */
                   6031: 
                   6032:   /* For example we decided to compute the life expectancy with the smallest unit */
                   6033:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   6034:      nhstepm is the number of hstepm from age to agelim 
                   6035:      nstepm is the number of stepm from age to agelin. 
                   6036:      Look at hpijx to understand the reason of that which relies in memory size
                   6037:      and note for a fixed period like estepm months */
                   6038:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   6039:      survival function given by stepm (the optimization length). Unfortunately it
                   6040:      means that if the survival funtion is printed only each two years of age and if
                   6041:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   6042:      results. So we changed our mind and took the option of the best precision.
                   6043:   */
                   6044:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   6045: 
                   6046:   /* If stepm=6 months */
                   6047:   /* nhstepm age range expressed in number of stepm */
                   6048:   agelim=AGESUP;
                   6049:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   6050:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   6051:   /* if (stepm >= YEARM) hstepm=1;*/
                   6052:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   6053:   
                   6054:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6055:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6056:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   6057:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   6058:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   6059:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   6060: 
                   6061:   for (age=bage; age<=fage; age ++){ 
                   6062:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   6063:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   6064:     /* if (stepm >= YEARM) hstepm=1;*/
                   6065:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
1.218     brouard  6066:                
1.126     brouard  6067:     /* If stepm=6 months */
                   6068:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   6069:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   6070:     
                   6071:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
1.218     brouard  6072:                
1.126     brouard  6073:     /* Computing  Variances of health expectancies */
                   6074:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   6075:        decrease memory allocation */
                   6076:     for(theta=1; theta <=npar; theta++){
                   6077:       for(i=1; i<=npar; i++){ 
1.222     brouard  6078:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6079:        xm[i] = x[i] - (i==theta ?delti[theta]:0);
1.126     brouard  6080:       }
1.235     brouard  6081:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij, nres);  
                   6082:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij, nres);  
1.218     brouard  6083:                        
1.126     brouard  6084:       for(j=1; j<= nlstate; j++){
1.222     brouard  6085:        for(i=1; i<=nlstate; i++){
                   6086:          for(h=0; h<=nhstepm-1; h++){
                   6087:            gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
                   6088:            gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
                   6089:          }
                   6090:        }
1.126     brouard  6091:       }
1.218     brouard  6092:                        
1.126     brouard  6093:       for(ij=1; ij<= nlstate*nlstate; ij++)
1.222     brouard  6094:        for(h=0; h<=nhstepm-1; h++){
                   6095:          gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
                   6096:        }
1.126     brouard  6097:     }/* End theta */
                   6098:     
                   6099:     
                   6100:     for(h=0; h<=nhstepm-1; h++)
                   6101:       for(j=1; j<=nlstate*nlstate;j++)
1.222     brouard  6102:        for(theta=1; theta <=npar; theta++)
                   6103:          trgradg[h][j][theta]=gradg[h][theta][j];
1.126     brouard  6104:     
1.218     brouard  6105:                
1.222     brouard  6106:     for(ij=1;ij<=nlstate*nlstate;ij++)
1.126     brouard  6107:       for(ji=1;ji<=nlstate*nlstate;ji++)
1.222     brouard  6108:        varhe[ij][ji][(int)age] =0.;
1.218     brouard  6109:                
1.222     brouard  6110:     printf("%d|",(int)age);fflush(stdout);
                   6111:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   6112:     for(h=0;h<=nhstepm-1;h++){
1.126     brouard  6113:       for(k=0;k<=nhstepm-1;k++){
1.222     brouard  6114:        matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
                   6115:        matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
                   6116:        for(ij=1;ij<=nlstate*nlstate;ij++)
                   6117:          for(ji=1;ji<=nlstate*nlstate;ji++)
                   6118:            varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
1.126     brouard  6119:       }
                   6120:     }
1.320   ! brouard  6121:     /* if((int)age ==50){ */
        !          6122:     /*   printf(" age=%d cij=%d nres=%d varhe[%d][%d]=%f ",(int)age, cij, nres, 1,2,varhe[1][2]); */
        !          6123:     /* } */
1.126     brouard  6124:     /* Computing expectancies */
1.235     brouard  6125:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij,nres);  
1.126     brouard  6126:     for(i=1; i<=nlstate;i++)
                   6127:       for(j=1; j<=nlstate;j++)
1.222     brouard  6128:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   6129:          eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
1.218     brouard  6130:                                        
1.222     brouard  6131:          /* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/
1.218     brouard  6132:                                        
1.222     brouard  6133:        }
1.269     brouard  6134: 
                   6135:     /* Standard deviation of expectancies ij */                
1.126     brouard  6136:     fprintf(ficresstdeij,"%3.0f",age );
                   6137:     for(i=1; i<=nlstate;i++){
                   6138:       eip=0.;
                   6139:       vip=0.;
                   6140:       for(j=1; j<=nlstate;j++){
1.222     brouard  6141:        eip += eij[i][j][(int)age];
                   6142:        for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
                   6143:          vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
                   6144:        fprintf(ficresstdeij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[(j-1)*nlstate+i][(j-1)*nlstate+i][(int)age]) );
1.126     brouard  6145:       }
                   6146:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   6147:     }
                   6148:     fprintf(ficresstdeij,"\n");
1.218     brouard  6149:                
1.269     brouard  6150:     /* Variance of expectancies ij */          
1.126     brouard  6151:     fprintf(ficrescveij,"%3.0f",age );
                   6152:     for(i=1; i<=nlstate;i++)
                   6153:       for(j=1; j<=nlstate;j++){
1.222     brouard  6154:        cptj= (j-1)*nlstate+i;
                   6155:        for(i2=1; i2<=nlstate;i2++)
                   6156:          for(j2=1; j2<=nlstate;j2++){
                   6157:            cptj2= (j2-1)*nlstate+i2;
                   6158:            if(cptj2 <= cptj)
                   6159:              fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
                   6160:          }
1.126     brouard  6161:       }
                   6162:     fprintf(ficrescveij,"\n");
1.218     brouard  6163:                
1.126     brouard  6164:   }
                   6165:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   6166:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   6167:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   6168:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   6169:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6170:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6171:   printf("\n");
                   6172:   fprintf(ficlog,"\n");
1.218     brouard  6173:        
1.126     brouard  6174:   free_vector(xm,1,npar);
                   6175:   free_vector(xp,1,npar);
                   6176:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   6177:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   6178:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   6179: }
1.218     brouard  6180:  
1.126     brouard  6181: /************ Variance ******************/
1.235     brouard  6182:  void varevsij(char optionfilefiname[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int *ncvyearp, int ij, int estepm, int cptcov, int cptcod, int popbased, int mobilav, char strstart[], int nres)
1.218     brouard  6183:  {
1.279     brouard  6184:    /** Variance of health expectancies 
                   6185:     *  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);
                   6186:     * double **newm;
                   6187:     * int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav) 
                   6188:     */
1.218     brouard  6189:   
                   6190:    /* int movingaverage(); */
                   6191:    double **dnewm,**doldm;
                   6192:    double **dnewmp,**doldmp;
                   6193:    int i, j, nhstepm, hstepm, h, nstepm ;
1.288     brouard  6194:    int first=0;
1.218     brouard  6195:    int k;
                   6196:    double *xp;
1.279     brouard  6197:    double **gp, **gm;  /**< for var eij */
                   6198:    double ***gradg, ***trgradg; /**< for var eij */
                   6199:    double **gradgp, **trgradgp; /**< for var p point j */
                   6200:    double *gpp, *gmp; /**< for var p point j */
                   6201:    double **varppt; /**< for var p point j nlstate to nlstate+ndeath */
1.218     brouard  6202:    double ***p3mat;
                   6203:    double age,agelim, hf;
                   6204:    /* double ***mobaverage; */
                   6205:    int theta;
                   6206:    char digit[4];
                   6207:    char digitp[25];
                   6208: 
                   6209:    char fileresprobmorprev[FILENAMELENGTH];
                   6210: 
                   6211:    if(popbased==1){
                   6212:      if(mobilav!=0)
                   6213:        strcpy(digitp,"-POPULBASED-MOBILAV_");
                   6214:      else strcpy(digitp,"-POPULBASED-NOMOBIL_");
                   6215:    }
                   6216:    else 
                   6217:      strcpy(digitp,"-STABLBASED_");
1.126     brouard  6218: 
1.218     brouard  6219:    /* if (mobilav!=0) { */
                   6220:    /*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   6221:    /*   if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){ */
                   6222:    /*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */
                   6223:    /*     printf(" Error in movingaverage mobilav=%d\n",mobilav); */
                   6224:    /*   } */
                   6225:    /* } */
                   6226: 
                   6227:    strcpy(fileresprobmorprev,"PRMORPREV-"); 
                   6228:    sprintf(digit,"%-d",ij);
                   6229:    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
                   6230:    strcat(fileresprobmorprev,digit); /* Tvar to be done */
                   6231:    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
                   6232:    strcat(fileresprobmorprev,fileresu);
                   6233:    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
                   6234:      printf("Problem with resultfile: %s\n", fileresprobmorprev);
                   6235:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
                   6236:    }
                   6237:    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   6238:    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   6239:    pstamp(ficresprobmorprev);
                   6240:    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);
1.238     brouard  6241:    fprintf(ficresprobmorprev,"# Selected quantitative variables and dummies");
                   6242:    for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   6243:      fprintf(ficresprobmorprev," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   6244:    }
                   6245:    for(j=1;j<=cptcoveff;j++) 
                   6246:      fprintf(ficresprobmorprev,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(ij,j)]);
                   6247:    fprintf(ficresprobmorprev,"\n");
                   6248: 
1.218     brouard  6249:    fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
                   6250:    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   6251:      fprintf(ficresprobmorprev," p.%-d SE",j);
                   6252:      for(i=1; i<=nlstate;i++)
                   6253:        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
                   6254:    }  
                   6255:    fprintf(ficresprobmorprev,"\n");
                   6256:   
                   6257:    fprintf(ficgp,"\n# Routine varevsij");
                   6258:    fprintf(ficgp,"\nunset title \n");
                   6259:    /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
                   6260:    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");
                   6261:    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
1.279     brouard  6262: 
1.218     brouard  6263:    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6264:    pstamp(ficresvij);
                   6265:    fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
                   6266:    if(popbased==1)
                   6267:      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);
                   6268:    else
                   6269:      fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
                   6270:    fprintf(ficresvij,"# Age");
                   6271:    for(i=1; i<=nlstate;i++)
                   6272:      for(j=1; j<=nlstate;j++)
                   6273:        fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
                   6274:    fprintf(ficresvij,"\n");
                   6275: 
                   6276:    xp=vector(1,npar);
                   6277:    dnewm=matrix(1,nlstate,1,npar);
                   6278:    doldm=matrix(1,nlstate,1,nlstate);
                   6279:    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
                   6280:    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6281: 
                   6282:    gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
                   6283:    gpp=vector(nlstate+1,nlstate+ndeath);
                   6284:    gmp=vector(nlstate+1,nlstate+ndeath);
                   6285:    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.126     brouard  6286:   
1.218     brouard  6287:    if(estepm < stepm){
                   6288:      printf ("Problem %d lower than %d\n",estepm, stepm);
                   6289:    }
                   6290:    else  hstepm=estepm;   
                   6291:    /* For example we decided to compute the life expectancy with the smallest unit */
                   6292:    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   6293:       nhstepm is the number of hstepm from age to agelim 
                   6294:       nstepm is the number of stepm from age to agelim. 
                   6295:       Look at function hpijx to understand why because of memory size limitations, 
                   6296:       we decided (b) to get a life expectancy respecting the most precise curvature of the
                   6297:       survival function given by stepm (the optimization length). Unfortunately it
                   6298:       means that if the survival funtion is printed every two years of age and if
                   6299:       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   6300:       results. So we changed our mind and took the option of the best precision.
                   6301:    */
                   6302:    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   6303:    agelim = AGESUP;
                   6304:    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   6305:      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6306:      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   6307:      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6308:      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
                   6309:      gp=matrix(0,nhstepm,1,nlstate);
                   6310:      gm=matrix(0,nhstepm,1,nlstate);
                   6311:                
                   6312:                
                   6313:      for(theta=1; theta <=npar; theta++){
                   6314:        for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
                   6315:         xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6316:        }
1.279     brouard  6317:        /**< Computes the prevalence limit with parameter theta shifted of delta up to ftolpl precision and 
                   6318:        * returns into prlim .
1.288     brouard  6319:        */
1.242     brouard  6320:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij, nres);
1.279     brouard  6321: 
                   6322:        /* If popbased = 1 we use crossection prevalences. Previous step is useless but prlim is created */
1.218     brouard  6323:        if (popbased==1) {
                   6324:         if(mobilav ==0){
                   6325:           for(i=1; i<=nlstate;i++)
                   6326:             prlim[i][i]=probs[(int)age][i][ij];
                   6327:         }else{ /* mobilav */ 
                   6328:           for(i=1; i<=nlstate;i++)
                   6329:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   6330:         }
                   6331:        }
1.295     brouard  6332:        /**< Computes the shifted transition matrix \f$ {}{h}_p^{ij}x\f$ at horizon h.
1.279     brouard  6333:        */                      
                   6334:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij,nres);  /* Returns p3mat[i][j][h] for h=0 to nhstepm */
1.292     brouard  6335:        /**< And for each alive state j, sums over i \f$ w^i_x {}{h}_p^{ij}x\f$, which are the probability
1.279     brouard  6336:        * at horizon h in state j including mortality.
                   6337:        */
1.218     brouard  6338:        for(j=1; j<= nlstate; j++){
                   6339:         for(h=0; h<=nhstepm; h++){
                   6340:           for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                   6341:             gp[h][j] += prlim[i][i]*p3mat[i][j][h];
                   6342:         }
                   6343:        }
1.279     brouard  6344:        /* Next for computing shifted+ probability of death (h=1 means
1.218     brouard  6345:          computed over hstepm matrices product = hstepm*stepm months) 
1.279     brouard  6346:          as a weighted average of prlim(i) * p(i,j) p.3=w1*p13 + w2*p23 .
1.218     brouard  6347:        */
                   6348:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6349:         for(i=1,gpp[j]=0.; i<= nlstate; i++)
                   6350:           gpp[j] += prlim[i][i]*p3mat[i][j][1];
1.279     brouard  6351:        }
                   6352:        
                   6353:        /* Again with minus shift */
1.218     brouard  6354:                        
                   6355:        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
                   6356:         xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.288     brouard  6357: 
1.242     brouard  6358:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp, ij, nres);
1.218     brouard  6359:                        
                   6360:        if (popbased==1) {
                   6361:         if(mobilav ==0){
                   6362:           for(i=1; i<=nlstate;i++)
                   6363:             prlim[i][i]=probs[(int)age][i][ij];
                   6364:         }else{ /* mobilav */ 
                   6365:           for(i=1; i<=nlstate;i++)
                   6366:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   6367:         }
                   6368:        }
                   6369:                        
1.235     brouard  6370:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij,nres);  
1.218     brouard  6371:                        
                   6372:        for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
                   6373:         for(h=0; h<=nhstepm; h++){
                   6374:           for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                   6375:             gm[h][j] += prlim[i][i]*p3mat[i][j][h];
                   6376:         }
                   6377:        }
                   6378:        /* This for computing probability of death (h=1 means
                   6379:          computed over hstepm matrices product = hstepm*stepm months) 
                   6380:          as a weighted average of prlim.
                   6381:        */
                   6382:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6383:         for(i=1,gmp[j]=0.; i<= nlstate; i++)
                   6384:           gmp[j] += prlim[i][i]*p3mat[i][j][1];
                   6385:        }    
1.279     brouard  6386:        /* end shifting computations */
                   6387: 
                   6388:        /**< Computing gradient matrix at horizon h 
                   6389:        */
1.218     brouard  6390:        for(j=1; j<= nlstate; j++) /* vareij */
                   6391:         for(h=0; h<=nhstepm; h++){
                   6392:           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
                   6393:         }
1.279     brouard  6394:        /**< Gradient of overall mortality p.3 (or p.j) 
                   6395:        */
                   6396:        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu mortality from j */
1.218     brouard  6397:         gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
                   6398:        }
                   6399:                        
                   6400:      } /* End theta */
1.279     brouard  6401:      
                   6402:      /* We got the gradient matrix for each theta and state j */               
1.218     brouard  6403:      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
                   6404:                
                   6405:      for(h=0; h<=nhstepm; h++) /* veij */
                   6406:        for(j=1; j<=nlstate;j++)
                   6407:         for(theta=1; theta <=npar; theta++)
                   6408:           trgradg[h][j][theta]=gradg[h][theta][j];
                   6409:                
                   6410:      for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                   6411:        for(theta=1; theta <=npar; theta++)
                   6412:         trgradgp[j][theta]=gradgp[theta][j];
1.279     brouard  6413:      /**< as well as its transposed matrix 
                   6414:       */               
1.218     brouard  6415:                
                   6416:      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   6417:      for(i=1;i<=nlstate;i++)
                   6418:        for(j=1;j<=nlstate;j++)
                   6419:         vareij[i][j][(int)age] =0.;
1.279     brouard  6420: 
                   6421:      /* Computing trgradg by matcov by gradg at age and summing over h
                   6422:       * and k (nhstepm) formula 15 of article
                   6423:       * Lievre-Brouard-Heathcote
                   6424:       */
                   6425:      
1.218     brouard  6426:      for(h=0;h<=nhstepm;h++){
                   6427:        for(k=0;k<=nhstepm;k++){
                   6428:         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
                   6429:         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
                   6430:         for(i=1;i<=nlstate;i++)
                   6431:           for(j=1;j<=nlstate;j++)
                   6432:             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
                   6433:        }
                   6434:      }
                   6435:                
1.279     brouard  6436:      /* pptj is p.3 or p.j = trgradgp by cov by gradgp, variance of
                   6437:       * p.j overall mortality formula 49 but computed directly because
                   6438:       * we compute the grad (wix pijx) instead of grad (pijx),even if
                   6439:       * wix is independent of theta.
                   6440:       */
1.218     brouard  6441:      matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
                   6442:      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
                   6443:      for(j=nlstate+1;j<=nlstate+ndeath;j++)
                   6444:        for(i=nlstate+1;i<=nlstate+ndeath;i++)
                   6445:         varppt[j][i]=doldmp[j][i];
                   6446:      /* end ppptj */
                   6447:      /*  x centered again */
                   6448:                
1.242     brouard  6449:      prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyearp,ij, nres);
1.218     brouard  6450:                
                   6451:      if (popbased==1) {
                   6452:        if(mobilav ==0){
                   6453:         for(i=1; i<=nlstate;i++)
                   6454:           prlim[i][i]=probs[(int)age][i][ij];
                   6455:        }else{ /* mobilav */ 
                   6456:         for(i=1; i<=nlstate;i++)
                   6457:           prlim[i][i]=mobaverage[(int)age][i][ij];
                   6458:        }
                   6459:      }
                   6460:                
                   6461:      /* This for computing probability of death (h=1 means
                   6462:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
                   6463:        as a weighted average of prlim.
                   6464:      */
1.235     brouard  6465:      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij, nres);  
1.218     brouard  6466:      for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6467:        for(i=1,gmp[j]=0.;i<= nlstate; i++) 
                   6468:         gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
                   6469:      }    
                   6470:      /* end probability of death */
                   6471:                
                   6472:      fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
                   6473:      for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   6474:        fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
                   6475:        for(i=1; i<=nlstate;i++){
                   6476:         fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
                   6477:        }
                   6478:      } 
                   6479:      fprintf(ficresprobmorprev,"\n");
                   6480:                
                   6481:      fprintf(ficresvij,"%.0f ",age );
                   6482:      for(i=1; i<=nlstate;i++)
                   6483:        for(j=1; j<=nlstate;j++){
                   6484:         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
                   6485:        }
                   6486:      fprintf(ficresvij,"\n");
                   6487:      free_matrix(gp,0,nhstepm,1,nlstate);
                   6488:      free_matrix(gm,0,nhstepm,1,nlstate);
                   6489:      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
                   6490:      free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
                   6491:      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6492:    } /* End age */
                   6493:    free_vector(gpp,nlstate+1,nlstate+ndeath);
                   6494:    free_vector(gmp,nlstate+1,nlstate+ndeath);
                   6495:    free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
                   6496:    free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
                   6497:    /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
                   6498:    fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
                   6499:    /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
                   6500:    fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
                   6501:    fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
                   6502:    /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
                   6503:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   6504:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   6505:    fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
                   6506:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
                   6507:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
                   6508:    fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
                   6509:    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);
                   6510:    /*  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  6511:     */
1.218     brouard  6512:    /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
                   6513:    fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  6514: 
1.218     brouard  6515:    free_vector(xp,1,npar);
                   6516:    free_matrix(doldm,1,nlstate,1,nlstate);
                   6517:    free_matrix(dnewm,1,nlstate,1,npar);
                   6518:    free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6519:    free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
                   6520:    free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6521:    /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   6522:    fclose(ficresprobmorprev);
                   6523:    fflush(ficgp);
                   6524:    fflush(fichtm); 
                   6525:  }  /* end varevsij */
1.126     brouard  6526: 
                   6527: /************ Variance of prevlim ******************/
1.269     brouard  6528:  void varprevlim(char fileresvpl[], FILE *ficresvpl, double **varpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int *ncvyearp, int ij, char strstart[], int nres)
1.126     brouard  6529: {
1.205     brouard  6530:   /* Variance of prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
1.126     brouard  6531:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  6532: 
1.268     brouard  6533:   double **dnewmpar,**doldm;
1.126     brouard  6534:   int i, j, nhstepm, hstepm;
                   6535:   double *xp;
                   6536:   double *gp, *gm;
                   6537:   double **gradg, **trgradg;
1.208     brouard  6538:   double **mgm, **mgp;
1.126     brouard  6539:   double age,agelim;
                   6540:   int theta;
                   6541:   
                   6542:   pstamp(ficresvpl);
1.288     brouard  6543:   fprintf(ficresvpl,"# Standard deviation of period (forward stable) prevalences \n");
1.241     brouard  6544:   fprintf(ficresvpl,"# Age ");
                   6545:   if(nresult >=1)
                   6546:     fprintf(ficresvpl," Result# ");
1.126     brouard  6547:   for(i=1; i<=nlstate;i++)
                   6548:       fprintf(ficresvpl," %1d-%1d",i,i);
                   6549:   fprintf(ficresvpl,"\n");
                   6550: 
                   6551:   xp=vector(1,npar);
1.268     brouard  6552:   dnewmpar=matrix(1,nlstate,1,npar);
1.126     brouard  6553:   doldm=matrix(1,nlstate,1,nlstate);
                   6554:   
                   6555:   hstepm=1*YEARM; /* Every year of age */
                   6556:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   6557:   agelim = AGESUP;
                   6558:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   6559:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6560:     if (stepm >= YEARM) hstepm=1;
                   6561:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6562:     gradg=matrix(1,npar,1,nlstate);
1.208     brouard  6563:     mgp=matrix(1,npar,1,nlstate);
                   6564:     mgm=matrix(1,npar,1,nlstate);
1.126     brouard  6565:     gp=vector(1,nlstate);
                   6566:     gm=vector(1,nlstate);
                   6567: 
                   6568:     for(theta=1; theta <=npar; theta++){
                   6569:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   6570:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6571:       }
1.288     brouard  6572:       /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */
                   6573:       /*       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */
                   6574:       /* else */
                   6575:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
1.208     brouard  6576:       for(i=1;i<=nlstate;i++){
1.126     brouard  6577:        gp[i] = prlim[i][i];
1.208     brouard  6578:        mgp[theta][i] = prlim[i][i];
                   6579:       }
1.126     brouard  6580:       for(i=1; i<=npar; i++) /* Computes gradient */
                   6581:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.288     brouard  6582:       /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */
                   6583:       /*       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */
                   6584:       /* else */
                   6585:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
1.208     brouard  6586:       for(i=1;i<=nlstate;i++){
1.126     brouard  6587:        gm[i] = prlim[i][i];
1.208     brouard  6588:        mgm[theta][i] = prlim[i][i];
                   6589:       }
1.126     brouard  6590:       for(i=1;i<=nlstate;i++)
                   6591:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
1.209     brouard  6592:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
1.126     brouard  6593:     } /* End theta */
                   6594: 
                   6595:     trgradg =matrix(1,nlstate,1,npar);
                   6596: 
                   6597:     for(j=1; j<=nlstate;j++)
                   6598:       for(theta=1; theta <=npar; theta++)
                   6599:        trgradg[j][theta]=gradg[theta][j];
1.209     brouard  6600:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6601:     /*   printf("\nmgm mgp %d ",(int)age); */
                   6602:     /*   for(j=1; j<=nlstate;j++){ */
                   6603:     /*         printf(" %d ",j); */
                   6604:     /*         for(theta=1; theta <=npar; theta++) */
                   6605:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   6606:     /*         printf("\n "); */
                   6607:     /*   } */
                   6608:     /* } */
                   6609:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6610:     /*   printf("\n gradg %d ",(int)age); */
                   6611:     /*   for(j=1; j<=nlstate;j++){ */
                   6612:     /*         printf("%d ",j); */
                   6613:     /*         for(theta=1; theta <=npar; theta++) */
                   6614:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   6615:     /*         printf("\n "); */
                   6616:     /*   } */
                   6617:     /* } */
1.126     brouard  6618: 
                   6619:     for(i=1;i<=nlstate;i++)
                   6620:       varpl[i][(int)age] =0.;
1.209     brouard  6621:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
1.268     brouard  6622:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6623:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  6624:     }else{
1.268     brouard  6625:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6626:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  6627:     }
1.126     brouard  6628:     for(i=1;i<=nlstate;i++)
                   6629:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   6630: 
                   6631:     fprintf(ficresvpl,"%.0f ",age );
1.241     brouard  6632:     if(nresult >=1)
                   6633:       fprintf(ficresvpl,"%d ",nres );
1.288     brouard  6634:     for(i=1; i<=nlstate;i++){
1.126     brouard  6635:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
1.288     brouard  6636:       /* for(j=1;j<=nlstate;j++) */
                   6637:       /*       fprintf(ficresvpl," %d %.5f ",j,prlim[j][i]); */
                   6638:     }
1.126     brouard  6639:     fprintf(ficresvpl,"\n");
                   6640:     free_vector(gp,1,nlstate);
                   6641:     free_vector(gm,1,nlstate);
1.208     brouard  6642:     free_matrix(mgm,1,npar,1,nlstate);
                   6643:     free_matrix(mgp,1,npar,1,nlstate);
1.126     brouard  6644:     free_matrix(gradg,1,npar,1,nlstate);
                   6645:     free_matrix(trgradg,1,nlstate,1,npar);
                   6646:   } /* End age */
                   6647: 
                   6648:   free_vector(xp,1,npar);
                   6649:   free_matrix(doldm,1,nlstate,1,npar);
1.268     brouard  6650:   free_matrix(dnewmpar,1,nlstate,1,nlstate);
                   6651: 
                   6652: }
                   6653: 
                   6654: 
                   6655: /************ Variance of backprevalence limit ******************/
1.269     brouard  6656:  void varbrevlim(char fileresvbl[], FILE  *ficresvbl, double **varbpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **bprlim, double ftolpl, int mobilavproj, int *ncvyearp, int ij, char strstart[], int nres)
1.268     brouard  6657: {
                   6658:   /* Variance of backward prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
                   6659:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
                   6660: 
                   6661:   double **dnewmpar,**doldm;
                   6662:   int i, j, nhstepm, hstepm;
                   6663:   double *xp;
                   6664:   double *gp, *gm;
                   6665:   double **gradg, **trgradg;
                   6666:   double **mgm, **mgp;
                   6667:   double age,agelim;
                   6668:   int theta;
                   6669:   
                   6670:   pstamp(ficresvbl);
                   6671:   fprintf(ficresvbl,"# Standard deviation of back (stable) prevalences \n");
                   6672:   fprintf(ficresvbl,"# Age ");
                   6673:   if(nresult >=1)
                   6674:     fprintf(ficresvbl," Result# ");
                   6675:   for(i=1; i<=nlstate;i++)
                   6676:       fprintf(ficresvbl," %1d-%1d",i,i);
                   6677:   fprintf(ficresvbl,"\n");
                   6678: 
                   6679:   xp=vector(1,npar);
                   6680:   dnewmpar=matrix(1,nlstate,1,npar);
                   6681:   doldm=matrix(1,nlstate,1,nlstate);
                   6682:   
                   6683:   hstepm=1*YEARM; /* Every year of age */
                   6684:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   6685:   agelim = AGEINF;
                   6686:   for (age=fage; age>=bage; age --){ /* If stepm=6 months */
                   6687:     nhstepm=(int) rint((age-agelim)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6688:     if (stepm >= YEARM) hstepm=1;
                   6689:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6690:     gradg=matrix(1,npar,1,nlstate);
                   6691:     mgp=matrix(1,npar,1,nlstate);
                   6692:     mgm=matrix(1,npar,1,nlstate);
                   6693:     gp=vector(1,nlstate);
                   6694:     gm=vector(1,nlstate);
                   6695: 
                   6696:     for(theta=1; theta <=npar; theta++){
                   6697:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   6698:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6699:       }
                   6700:       if(mobilavproj > 0 )
                   6701:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6702:       else
                   6703:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6704:       for(i=1;i<=nlstate;i++){
                   6705:        gp[i] = bprlim[i][i];
                   6706:        mgp[theta][i] = bprlim[i][i];
                   6707:       }
                   6708:      for(i=1; i<=npar; i++) /* Computes gradient */
                   6709:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   6710:        if(mobilavproj > 0 )
                   6711:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6712:        else
                   6713:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6714:       for(i=1;i<=nlstate;i++){
                   6715:        gm[i] = bprlim[i][i];
                   6716:        mgm[theta][i] = bprlim[i][i];
                   6717:       }
                   6718:       for(i=1;i<=nlstate;i++)
                   6719:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
                   6720:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
                   6721:     } /* End theta */
                   6722: 
                   6723:     trgradg =matrix(1,nlstate,1,npar);
                   6724: 
                   6725:     for(j=1; j<=nlstate;j++)
                   6726:       for(theta=1; theta <=npar; theta++)
                   6727:        trgradg[j][theta]=gradg[theta][j];
                   6728:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6729:     /*   printf("\nmgm mgp %d ",(int)age); */
                   6730:     /*   for(j=1; j<=nlstate;j++){ */
                   6731:     /*         printf(" %d ",j); */
                   6732:     /*         for(theta=1; theta <=npar; theta++) */
                   6733:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   6734:     /*         printf("\n "); */
                   6735:     /*   } */
                   6736:     /* } */
                   6737:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6738:     /*   printf("\n gradg %d ",(int)age); */
                   6739:     /*   for(j=1; j<=nlstate;j++){ */
                   6740:     /*         printf("%d ",j); */
                   6741:     /*         for(theta=1; theta <=npar; theta++) */
                   6742:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   6743:     /*         printf("\n "); */
                   6744:     /*   } */
                   6745:     /* } */
                   6746: 
                   6747:     for(i=1;i<=nlstate;i++)
                   6748:       varbpl[i][(int)age] =0.;
                   6749:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
                   6750:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6751:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
                   6752:     }else{
                   6753:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6754:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
                   6755:     }
                   6756:     for(i=1;i<=nlstate;i++)
                   6757:       varbpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   6758: 
                   6759:     fprintf(ficresvbl,"%.0f ",age );
                   6760:     if(nresult >=1)
                   6761:       fprintf(ficresvbl,"%d ",nres );
                   6762:     for(i=1; i<=nlstate;i++)
                   6763:       fprintf(ficresvbl," %.5f (%.5f)",bprlim[i][i],sqrt(varbpl[i][(int)age]));
                   6764:     fprintf(ficresvbl,"\n");
                   6765:     free_vector(gp,1,nlstate);
                   6766:     free_vector(gm,1,nlstate);
                   6767:     free_matrix(mgm,1,npar,1,nlstate);
                   6768:     free_matrix(mgp,1,npar,1,nlstate);
                   6769:     free_matrix(gradg,1,npar,1,nlstate);
                   6770:     free_matrix(trgradg,1,nlstate,1,npar);
                   6771:   } /* End age */
                   6772: 
                   6773:   free_vector(xp,1,npar);
                   6774:   free_matrix(doldm,1,nlstate,1,npar);
                   6775:   free_matrix(dnewmpar,1,nlstate,1,nlstate);
1.126     brouard  6776: 
                   6777: }
                   6778: 
                   6779: /************ Variance of one-step probabilities  ******************/
                   6780: void varprob(char optionfilefiname[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax, char strstart[])
1.222     brouard  6781:  {
                   6782:    int i, j=0,  k1, l1, tj;
                   6783:    int k2, l2, j1,  z1;
                   6784:    int k=0, l;
                   6785:    int first=1, first1, first2;
                   6786:    double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   6787:    double **dnewm,**doldm;
                   6788:    double *xp;
                   6789:    double *gp, *gm;
                   6790:    double **gradg, **trgradg;
                   6791:    double **mu;
                   6792:    double age, cov[NCOVMAX+1];
                   6793:    double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   6794:    int theta;
                   6795:    char fileresprob[FILENAMELENGTH];
                   6796:    char fileresprobcov[FILENAMELENGTH];
                   6797:    char fileresprobcor[FILENAMELENGTH];
                   6798:    double ***varpij;
                   6799: 
                   6800:    strcpy(fileresprob,"PROB_"); 
                   6801:    strcat(fileresprob,fileres);
                   6802:    if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   6803:      printf("Problem with resultfile: %s\n", fileresprob);
                   6804:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   6805:    }
                   6806:    strcpy(fileresprobcov,"PROBCOV_"); 
                   6807:    strcat(fileresprobcov,fileresu);
                   6808:    if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   6809:      printf("Problem with resultfile: %s\n", fileresprobcov);
                   6810:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   6811:    }
                   6812:    strcpy(fileresprobcor,"PROBCOR_"); 
                   6813:    strcat(fileresprobcor,fileresu);
                   6814:    if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   6815:      printf("Problem with resultfile: %s\n", fileresprobcor);
                   6816:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   6817:    }
                   6818:    printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   6819:    fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   6820:    printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   6821:    fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   6822:    printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   6823:    fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   6824:    pstamp(ficresprob);
                   6825:    fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   6826:    fprintf(ficresprob,"# Age");
                   6827:    pstamp(ficresprobcov);
                   6828:    fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   6829:    fprintf(ficresprobcov,"# Age");
                   6830:    pstamp(ficresprobcor);
                   6831:    fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   6832:    fprintf(ficresprobcor,"# Age");
1.126     brouard  6833: 
                   6834: 
1.222     brouard  6835:    for(i=1; i<=nlstate;i++)
                   6836:      for(j=1; j<=(nlstate+ndeath);j++){
                   6837:        fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   6838:        fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   6839:        fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   6840:      }  
                   6841:    /* fprintf(ficresprob,"\n");
                   6842:       fprintf(ficresprobcov,"\n");
                   6843:       fprintf(ficresprobcor,"\n");
                   6844:    */
                   6845:    xp=vector(1,npar);
                   6846:    dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   6847:    doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   6848:    mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   6849:    varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   6850:    first=1;
                   6851:    fprintf(ficgp,"\n# Routine varprob");
                   6852:    fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   6853:    fprintf(fichtm,"\n");
                   6854: 
1.288     brouard  6855:    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. File %s</li>\n",optionfilehtmcov,optionfilehtmcov);
1.222     brouard  6856:    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);
                   6857:    fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
1.126     brouard  6858: and drawn. It helps understanding how is the covariance between two incidences.\
                   6859:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
1.222     brouard  6860:    fprintf(fichtmcov,"\n<br> Contour plot corresponding to x'cov<sup>-1</sup>x = 4 (where x is the column vector (pij,pkl)) are drawn. \
1.126     brouard  6861: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   6862: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   6863: standard deviations wide on each axis. <br>\
                   6864:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   6865:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   6866: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   6867: 
1.222     brouard  6868:    cov[1]=1;
                   6869:    /* tj=cptcoveff; */
1.225     brouard  6870:    tj = (int) pow(2,cptcoveff);
1.222     brouard  6871:    if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   6872:    j1=0;
1.224     brouard  6873:    for(j1=1; j1<=tj;j1++){  /* For each valid combination of covariates or only once*/
1.222     brouard  6874:      if  (cptcovn>0) {
                   6875:        fprintf(ficresprob, "\n#********** Variable "); 
1.225     brouard  6876:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6877:        fprintf(ficresprob, "**********\n#\n");
                   6878:        fprintf(ficresprobcov, "\n#********** Variable "); 
1.225     brouard  6879:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6880:        fprintf(ficresprobcov, "**********\n#\n");
1.220     brouard  6881:                        
1.222     brouard  6882:        fprintf(ficgp, "\n#********** Variable "); 
1.225     brouard  6883:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6884:        fprintf(ficgp, "**********\n#\n");
1.220     brouard  6885:                        
                   6886:                        
1.222     brouard  6887:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
1.319     brouard  6888:        /* for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]); */
                   6889:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtmcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6890:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  6891:                        
1.222     brouard  6892:        fprintf(ficresprobcor, "\n#********** Variable ");    
1.225     brouard  6893:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6894:        fprintf(ficresprobcor, "**********\n#");    
                   6895:        if(invalidvarcomb[j1]){
                   6896:         fprintf(ficgp,"\n#Combination (%d) ignored because no cases \n",j1); 
                   6897:         fprintf(fichtmcov,"\n<h3>Combination (%d) ignored because no cases </h3>\n",j1); 
                   6898:         continue;
                   6899:        }
                   6900:      }
                   6901:      gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   6902:      trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   6903:      gp=vector(1,(nlstate)*(nlstate+ndeath));
                   6904:      gm=vector(1,(nlstate)*(nlstate+ndeath));
                   6905:      for (age=bage; age<=fage; age ++){ 
                   6906:        cov[2]=age;
                   6907:        if(nagesqr==1)
                   6908:         cov[3]= age*age;
                   6909:        for (k=1; k<=cptcovn;k++) {
                   6910:         cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
                   6911:         /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
                   6912:                                                                    * 1  1 1 1 1
                   6913:                                                                    * 2  2 1 1 1
                   6914:                                                                    * 3  1 2 1 1
                   6915:                                                                    */
                   6916:         /* nbcode[1][1]=0 nbcode[1][2]=1;*/
                   6917:        }
1.319     brouard  6918:        /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1, Tage[1]=2 */
                   6919:        /* ) p nbcode[Tvar[Tage[k]]][(1 & (ij-1) >> (k-1))+1] */
                   6920:        /*for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   6921:        for (k=1; k<=cptcovage;k++)
                   6922:         cov[2+Tage[k]+nagesqr]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
1.222     brouard  6923:        for (k=1; k<=cptcovprod;k++)
                   6924:         cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.220     brouard  6925:                        
                   6926:                        
1.222     brouard  6927:        for(theta=1; theta <=npar; theta++){
                   6928:         for(i=1; i<=npar; i++)
                   6929:           xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
1.220     brouard  6930:                                
1.222     brouard  6931:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
1.220     brouard  6932:                                
1.222     brouard  6933:         k=0;
                   6934:         for(i=1; i<= (nlstate); i++){
                   6935:           for(j=1; j<=(nlstate+ndeath);j++){
                   6936:             k=k+1;
                   6937:             gp[k]=pmmij[i][j];
                   6938:           }
                   6939:         }
1.220     brouard  6940:                                
1.222     brouard  6941:         for(i=1; i<=npar; i++)
                   6942:           xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
1.220     brouard  6943:                                
1.222     brouard  6944:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   6945:         k=0;
                   6946:         for(i=1; i<=(nlstate); i++){
                   6947:           for(j=1; j<=(nlstate+ndeath);j++){
                   6948:             k=k+1;
                   6949:             gm[k]=pmmij[i][j];
                   6950:           }
                   6951:         }
1.220     brouard  6952:                                
1.222     brouard  6953:         for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   6954:           gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   6955:        }
1.126     brouard  6956: 
1.222     brouard  6957:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   6958:         for(theta=1; theta <=npar; theta++)
                   6959:           trgradg[j][theta]=gradg[theta][j];
1.220     brouard  6960:                        
1.222     brouard  6961:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   6962:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
1.220     brouard  6963:                        
1.222     brouard  6964:        pmij(pmmij,cov,ncovmodel,x,nlstate);
1.220     brouard  6965:                        
1.222     brouard  6966:        k=0;
                   6967:        for(i=1; i<=(nlstate); i++){
                   6968:         for(j=1; j<=(nlstate+ndeath);j++){
                   6969:           k=k+1;
                   6970:           mu[k][(int) age]=pmmij[i][j];
                   6971:         }
                   6972:        }
                   6973:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   6974:         for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   6975:           varpij[i][j][(int)age] = doldm[i][j];
1.220     brouard  6976:                        
1.222     brouard  6977:        /*printf("\n%d ",(int)age);
                   6978:         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   6979:         printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   6980:         fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   6981:         }*/
1.220     brouard  6982:                        
1.222     brouard  6983:        fprintf(ficresprob,"\n%d ",(int)age);
                   6984:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   6985:        fprintf(ficresprobcor,"\n%d ",(int)age);
1.220     brouard  6986:                        
1.222     brouard  6987:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   6988:         fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   6989:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   6990:         fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   6991:         fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   6992:        }
                   6993:        i=0;
                   6994:        for (k=1; k<=(nlstate);k++){
                   6995:         for (l=1; l<=(nlstate+ndeath);l++){ 
                   6996:           i++;
                   6997:           fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   6998:           fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   6999:           for (j=1; j<=i;j++){
                   7000:             /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
                   7001:             fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   7002:             fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   7003:           }
                   7004:         }
                   7005:        }/* end of loop for state */
                   7006:      } /* end of loop for age */
                   7007:      free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   7008:      free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   7009:      free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   7010:      free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   7011:     
                   7012:      /* Confidence intervalle of pij  */
                   7013:      /*
                   7014:        fprintf(ficgp,"\nunset parametric;unset label");
                   7015:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   7016:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   7017:        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);
                   7018:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   7019:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   7020:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   7021:      */
                   7022:                
                   7023:      /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
                   7024:      first1=1;first2=2;
                   7025:      for (k2=1; k2<=(nlstate);k2++){
                   7026:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   7027:         if(l2==k2) continue;
                   7028:         j=(k2-1)*(nlstate+ndeath)+l2;
                   7029:         for (k1=1; k1<=(nlstate);k1++){
                   7030:           for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   7031:             if(l1==k1) continue;
                   7032:             i=(k1-1)*(nlstate+ndeath)+l1;
                   7033:             if(i<=j) continue;
                   7034:             for (age=bage; age<=fage; age ++){ 
                   7035:               if ((int)age %5==0){
                   7036:                 v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   7037:                 v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   7038:                 cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   7039:                 mu1=mu[i][(int) age]/stepm*YEARM ;
                   7040:                 mu2=mu[j][(int) age]/stepm*YEARM;
                   7041:                 c12=cv12/sqrt(v1*v2);
                   7042:                 /* Computing eigen value of matrix of covariance */
                   7043:                 lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   7044:                 lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   7045:                 if ((lc2 <0) || (lc1 <0) ){
                   7046:                   if(first2==1){
                   7047:                     first1=0;
                   7048:                     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);
                   7049:                   }
                   7050:                   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);
                   7051:                   /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   7052:                   /* lc2=fabs(lc2); */
                   7053:                 }
1.220     brouard  7054:                                                                
1.222     brouard  7055:                 /* Eigen vectors */
1.280     brouard  7056:                 if(1+(v1-lc1)*(v1-lc1)/cv12/cv12 <1.e-5){
                   7057:                   printf(" Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12);
                   7058:                   fprintf(ficlog," Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12);
                   7059:                   v11=(1./sqrt(fabs(1+(v1-lc1)*(v1-lc1)/cv12/cv12)));
                   7060:                 }else
                   7061:                   v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
1.222     brouard  7062:                 /*v21=sqrt(1.-v11*v11); *//* error */
                   7063:                 v21=(lc1-v1)/cv12*v11;
                   7064:                 v12=-v21;
                   7065:                 v22=v11;
                   7066:                 tnalp=v21/v11;
                   7067:                 if(first1==1){
                   7068:                   first1=0;
                   7069:                   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);
                   7070:                 }
                   7071:                 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);
                   7072:                 /*printf(fignu*/
                   7073:                 /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   7074:                 /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   7075:                 if(first==1){
                   7076:                   first=0;
                   7077:                   fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
                   7078:                   fprintf(ficgp,"\nset parametric;unset label");
                   7079:                   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);
                   7080:                   fprintf(ficgp,"\nset ter svg size 640, 480");
1.266     brouard  7081:                   fprintf(fichtmcov,"\n<p><br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
1.220     brouard  7082:  :<a href=\"%s_%d%1d%1d-%1d%1d.svg\">                                                                                                                                          \
1.201     brouard  7083: %s_%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
1.222     brouard  7084:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2,      \
                   7085:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   7086:                   fprintf(fichtmcov,"\n<br><img src=\"%s_%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   7087:                   fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                   7088:                   fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   7089:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   7090:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   7091:                   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",      \
1.280     brouard  7092:                           mu1,std,v11,sqrt(fabs(lc1)),v12,sqrt(fabs(lc2)), \
                   7093:                           mu2,std,v21,sqrt(fabs(lc1)),v22,sqrt(fabs(lc2))); /* For gnuplot only */
1.222     brouard  7094:                 }else{
                   7095:                   first=0;
                   7096:                   fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   7097:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   7098:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   7099:                   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", \
1.266     brouard  7100:                           mu1,std,v11,sqrt(lc1),v12,sqrt(fabs(lc2)),   \
                   7101:                           mu2,std,v21,sqrt(lc1),v22,sqrt(fabs(lc2)));
1.222     brouard  7102:                 }/* if first */
                   7103:               } /* age mod 5 */
                   7104:             } /* end loop age */
                   7105:             fprintf(ficgp,"\nset out;\nset out \"%s_%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   7106:             first=1;
                   7107:           } /*l12 */
                   7108:         } /* k12 */
                   7109:        } /*l1 */
                   7110:      }/* k1 */
                   7111:    }  /* loop on combination of covariates j1 */
                   7112:    free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   7113:    free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   7114:    free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   7115:    free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   7116:    free_vector(xp,1,npar);
                   7117:    fclose(ficresprob);
                   7118:    fclose(ficresprobcov);
                   7119:    fclose(ficresprobcor);
                   7120:    fflush(ficgp);
                   7121:    fflush(fichtmcov);
                   7122:  }
1.126     brouard  7123: 
                   7124: 
                   7125: /******************* Printing html file ***********/
1.201     brouard  7126: void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  7127:                  int lastpass, int stepm, int weightopt, char model[],\
                   7128:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
1.296     brouard  7129:                  int popforecast, int mobilav, int prevfcast, int mobilavproj, int prevbcast, int estepm , \
                   7130:                  double jprev1, double mprev1,double anprev1, double dateprev1, double dateprojd, double dateback1, \
                   7131:                  double jprev2, double mprev2,double anprev2, double dateprev2, double dateprojf, double dateback2){
1.237     brouard  7132:   int jj1, k1, i1, cpt, k4, nres;
1.319     brouard  7133:   /* In fact some results are already printed in fichtm which is open */
1.126     brouard  7134:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   7135:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   7136: </ul>");
1.319     brouard  7137: /*    fprintf(fichtm,"<ul><li> model=1+age+%s\n \ */
                   7138: /* </ul>", model); */
1.214     brouard  7139:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n");
                   7140:    fprintf(fichtm,"<li>- Observed frequency between two states (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> (html file)<br/>\n",
                   7141:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTMFR_",".htm"),subdirfext3(optionfilefiname,"PHTMFR_",".htm"));
                   7142:    fprintf(fichtm,"<li> - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> (html file) ",
1.213     brouard  7143:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTM_",".htm"),subdirfext3(optionfilefiname,"PHTM_",".htm"));
                   7144:    fprintf(fichtm,",  <a href=\"%s\">%s</a> (text file) <br>\n",subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_"));
1.126     brouard  7145:    fprintf(fichtm,"\
                   7146:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
1.201     brouard  7147:           stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_"));
1.126     brouard  7148:    fprintf(fichtm,"\
1.217     brouard  7149:  - Estimated back transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
                   7150:           stepm,subdirf2(fileresu,"PIJB_"),subdirf2(fileresu,"PIJB_"));
                   7151:    fprintf(fichtm,"\
1.288     brouard  7152:  - Period (forward) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  7153:           subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
1.126     brouard  7154:    fprintf(fichtm,"\
1.288     brouard  7155:  - Backward prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.217     brouard  7156:           subdirf2(fileresu,"PLB_"),subdirf2(fileresu,"PLB_"));
                   7157:    fprintf(fichtm,"\
1.211     brouard  7158:  - (a) Life expectancies by health status at initial age, e<sub>i.</sub> (b) health expectancies by health status at initial age, e<sub>ij</sub> . If one or more covariates are included, specific tables for each value of the covariate are output in sequences within the same file (estepm=%2d months): \
1.126     brouard  7159:    <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  7160:           estepm,subdirf2(fileresu,"E_"),subdirf2(fileresu,"E_"));
1.211     brouard  7161:    if(prevfcast==1){
                   7162:      fprintf(fichtm,"\
                   7163:  - Prevalence projections by age and states:                           \
1.201     brouard  7164:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
1.211     brouard  7165:    }
1.126     brouard  7166: 
                   7167: 
1.225     brouard  7168:    m=pow(2,cptcoveff);
1.222     brouard  7169:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  7170: 
1.317     brouard  7171:    fprintf(fichtm," \n<ul><li><b>Graphs (first order)</b></li><p>");
1.264     brouard  7172: 
                   7173:    jj1=0;
                   7174: 
                   7175:    fprintf(fichtm," \n<ul>");
                   7176:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   7177:    for(k1=1; k1<=m;k1++){ /* For each combination of covariate */
                   7178:      if(m != 1 && TKresult[nres]!= k1)
                   7179:        continue;
                   7180:      jj1++;
                   7181:      if (cptcovn > 0) {
                   7182:        fprintf(fichtm,"\n<li><a  size=\"1\" color=\"#EC5E5E\" href=\"#rescov");
                   7183:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   7184:         fprintf(fichtm,"_V%d=%d_",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   7185:        }
                   7186:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7187:         fprintf(fichtm,"_V%d=%f_",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7188:        }
                   7189:        fprintf(fichtm,"\">");
                   7190:        
                   7191:        /* if(nqfveff+nqtveff 0) */ /* Test to be done */
                   7192:        fprintf(fichtm,"************ Results for covariates");
                   7193:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   7194:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   7195:        }
                   7196:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7197:         fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7198:        }
                   7199:        if(invalidvarcomb[k1]){
                   7200:         fprintf(fichtm," Warning Combination (%d) ignored because no cases ",k1); 
                   7201:         continue;
                   7202:        }
                   7203:        fprintf(fichtm,"</a></li>");
                   7204:      } /* cptcovn >0 */
                   7205:    }
1.317     brouard  7206:    fprintf(fichtm," \n</ul>");
1.264     brouard  7207: 
1.222     brouard  7208:    jj1=0;
1.237     brouard  7209: 
                   7210:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
1.241     brouard  7211:    for(k1=1; k1<=m;k1++){ /* For each combination of covariate */
1.253     brouard  7212:      if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7213:        continue;
1.220     brouard  7214: 
1.222     brouard  7215:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   7216:      jj1++;
                   7217:      if (cptcovn > 0) {
1.264     brouard  7218:        fprintf(fichtm,"\n<p><a name=\"rescov");
                   7219:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   7220:         fprintf(fichtm,"_V%d=%d_",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   7221:        }
                   7222:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7223:         fprintf(fichtm,"_V%d=%f_",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7224:        }
                   7225:        fprintf(fichtm,"\"</a>");
                   7226:  
1.222     brouard  7227:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  7228:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
1.237     brouard  7229:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   7230:         printf(" V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);fflush(stdout);
                   7231:         /* fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]); */
                   7232:         /* printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout); */
1.222     brouard  7233:        }
1.237     brouard  7234:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7235:        fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7236:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);fflush(stdout);
                   7237:       }
                   7238:        
1.230     brouard  7239:        /* if(nqfveff+nqtveff 0) */ /* Test to be done */
1.222     brouard  7240:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   7241:        if(invalidvarcomb[k1]){
                   7242:         fprintf(fichtm,"\n<h3>Combination (%d) ignored because no cases </h3>\n",k1); 
                   7243:         printf("\nCombination (%d) ignored because no cases \n",k1); 
                   7244:         continue;
                   7245:        }
                   7246:      }
                   7247:      /* aij, bij */
1.259     brouard  7248:      fprintf(fichtm,"<br>- Logit model (yours is: logit(pij)=log(pij/pii)= aij+ bij age+%s) as a function of age: <a href=\"%s_%d-1-%d.svg\">%s_%d-1-%d.svg</a><br> \
1.241     brouard  7249: <img src=\"%s_%d-1-%d.svg\">",model,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres);
1.222     brouard  7250:      /* Pij */
1.241     brouard  7251:      fprintf(fichtm,"<br>\n- P<sub>ij</sub> or conditional probabilities to be observed in state j being in state i, %d (stepm) months before: <a href=\"%s_%d-2-%d.svg\">%s_%d-2-%d.svg</a><br> \
                   7252: <img src=\"%s_%d-2-%d.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres);     
1.222     brouard  7253:      /* Quasi-incidences */
                   7254:      fprintf(fichtm,"<br>\n- I<sub>ij</sub> or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
1.220     brouard  7255:  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too, \
1.211     brouard  7256:  incidence (rates) are the limit when h tends to zero of the ratio of the probability  <sub>h</sub>P<sub>ij</sub> \
1.241     brouard  7257: divided by h: <sub>h</sub>P<sub>ij</sub>/h : <a href=\"%s_%d-3-%d.svg\">%s_%d-3-%d.svg</a><br> \
                   7258: <img src=\"%s_%d-3-%d.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres); 
1.222     brouard  7259:      /* Survival functions (period) in state j */
                   7260:      for(cpt=1; cpt<=nlstate;cpt++){
1.292     brouard  7261:        fprintf(fichtm,"<br>\n- Survival functions in state %d. And probability to be observed in state %d being in state (1 to %d) at different ages. <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a><br> \
1.241     brouard  7262: <img src=\"%s_%d-%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres,subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres,subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres);
1.222     brouard  7263:      }
                   7264:      /* State specific survival functions (period) */
                   7265:      for(cpt=1; cpt<=nlstate;cpt++){
1.292     brouard  7266:        fprintf(fichtm,"<br>\n- Survival functions in state %d and in any other live state (total).\
                   7267:  And probability to be observed in various states (up to %d) being in state %d at different ages.      \
1.283     brouard  7268:  <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a><br> <img src=\"%s_%d-%d-%d.svg\">", cpt, nlstate, cpt, subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres,subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres,subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres);
1.222     brouard  7269:      }
1.288     brouard  7270:      /* Period (forward stable) prevalence in each health state */
1.222     brouard  7271:      for(cpt=1; cpt<=nlstate;cpt++){
1.264     brouard  7272:        fprintf(fichtm,"<br>\n- Convergence to period (stable) prevalence in state %d. Or probability for a person being in state (1 to %d) at different ages, to be in state %d some years after. <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a><br> \
                   7273: <img src=\"%s_%d-%d-%d.svg\">", cpt, nlstate, cpt, subdirf2(optionfilefiname,"P_"),cpt,k1,nres,subdirf2(optionfilefiname,"P_"),cpt,k1,nres,subdirf2(optionfilefiname,"P_"),cpt,k1,nres);
1.222     brouard  7274:      }
1.296     brouard  7275:      if(prevbcast==1){
1.288     brouard  7276:        /* Backward prevalence in each health state */
1.222     brouard  7277:        for(cpt=1; cpt<=nlstate;cpt++){
1.264     brouard  7278:         fprintf(fichtm,"<br>\n- Convergence to mixed (stable) back prevalence in state %d. Or probability for a person to be in state %d at a younger age, knowing that she/he was in state (1 to %d) at different older ages. <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a><br> \
1.241     brouard  7279: <img src=\"%s_%d-%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"PB_"),cpt,k1,nres,subdirf2(optionfilefiname,"PB_"),cpt,k1,nres,subdirf2(optionfilefiname,"PB_"),cpt,k1,nres);
1.222     brouard  7280:        }
1.217     brouard  7281:      }
1.222     brouard  7282:      if(prevfcast==1){
1.288     brouard  7283:        /* Projection of prevalence up to period (forward stable) prevalence in each health state */
1.222     brouard  7284:        for(cpt=1; cpt<=nlstate;cpt++){
1.314     brouard  7285:         fprintf(fichtm,"<br>\n- Projection of cross-sectional prevalence (estimated with cases observed from %.1f to %.1f and mobil_average=%d), from year %.1f up to year %.1f tending to period (stable) forward prevalence in state %d. Or probability to be in state %d being in an observed weighted state (from 1 to %d). <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a>", dateprev1, dateprev2, mobilavproj, dateprojd, dateprojf, cpt, cpt, nlstate, subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres,subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres);
                   7286:         fprintf(fichtm," (data from text file  <a href=\"%s.txt\">%s.txt</a>)\n<br>",subdirf2(optionfilefiname,"F_"),subdirf2(optionfilefiname,"F_"));
                   7287:         fprintf(fichtm,"<img src=\"%s_%d-%d-%d.svg\">",
                   7288:                 subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres);
1.222     brouard  7289:        }
                   7290:      }
1.296     brouard  7291:      if(prevbcast==1){
1.268     brouard  7292:       /* Back projection of prevalence up to stable (mixed) back-prevalence in each health state */
                   7293:        for(cpt=1; cpt<=nlstate;cpt++){
1.273     brouard  7294:         fprintf(fichtm,"<br>\n- Back projection of cross-sectional prevalence (estimated with cases observed from %.1f to %.1f and mobil_average=%d), \
                   7295:  from year %.1f up to year %.1f (probably close to stable [mixed] back prevalence in state %d (randomness in cross-sectional prevalence is not taken into \
                   7296:  account but can visually be appreciated). Or probability to have been in an state %d, knowing that the person was in either state (1 or %d) \
1.314     brouard  7297: with weights corresponding to observed prevalence at different ages. <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a>", dateprev1, dateprev2, mobilavproj, dateback1, dateback2, cpt, cpt, nlstate, subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres,subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres);
                   7298:         fprintf(fichtm," (data from text file  <a href=\"%s.txt\">%s.txt</a>)\n<br>",subdirf2(optionfilefiname,"FB_"),subdirf2(optionfilefiname,"FB_"));
                   7299:         fprintf(fichtm," <img src=\"%s_%d-%d-%d.svg\">", subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres);
1.268     brouard  7300:        }
                   7301:      }
1.220     brouard  7302:         
1.222     brouard  7303:      for(cpt=1; cpt<=nlstate;cpt++) {
1.314     brouard  7304:        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-%d.svg\">%s_%d-%d-%d.svg</a>",cpt,nlstate,subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres,subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres);
                   7305:        fprintf(fichtm," (data from text file  <a href=\"%s.txt\"> %s.txt</a>)\n<br>",subdirf2(optionfilefiname,"E_"),subdirf2(optionfilefiname,"E_"));
                   7306:        fprintf(fichtm,"<img src=\"%s_%d-%d-%d.svg\">", subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres );
1.222     brouard  7307:      }
                   7308:      /* } /\* end i1 *\/ */
                   7309:    }/* End k1 */
                   7310:    fprintf(fichtm,"</ul>");
1.126     brouard  7311: 
1.222     brouard  7312:    fprintf(fichtm,"\
1.126     brouard  7313: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
1.193     brouard  7314:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
1.203     brouard  7315:  - 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  7316: But because parameters are usually highly correlated (a higher incidence of disability \
                   7317: and a higher incidence of recovery can give very close observed transition) it might \
                   7318: be very useful to look not only at linear confidence intervals estimated from the \
                   7319: variances but at the covariance matrix. And instead of looking at the estimated coefficients \
                   7320: (parameters) of the logistic regression, it might be more meaningful to visualize the \
                   7321: covariance matrix of the one-step probabilities. \
                   7322: See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
1.126     brouard  7323: 
1.222     brouard  7324:    fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   7325:           subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_"));
                   7326:    fprintf(fichtm,"\
1.126     brouard  7327:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  7328:           subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_"));
1.126     brouard  7329: 
1.222     brouard  7330:    fprintf(fichtm,"\
1.126     brouard  7331:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  7332:           subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"PROBCOR_"));
                   7333:    fprintf(fichtm,"\
1.126     brouard  7334:  - 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): \
                   7335:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  7336:           estepm,subdirf2(fileresu,"CVE_"),subdirf2(fileresu,"CVE_"));
1.222     brouard  7337:    fprintf(fichtm,"\
1.126     brouard  7338:  - (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): \
                   7339:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  7340:           estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_"));
1.222     brouard  7341:    fprintf(fichtm,"\
1.288     brouard  7342:  - Variances and covariances of health expectancies by age. Status (i) based health expectancies (in state j), e<sup>ij</sup> are weighted by the forward (period) prevalences in each state i (if popbased=1, an additional computation is done using the cross-sectional prevalences, i.e population based) (estepm=%d months): <a href=\"%s\">%s</a><br>\n",
1.222     brouard  7343:           estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_"));
                   7344:    fprintf(fichtm,"\
1.128     brouard  7345:  - Total life expectancy and total health expectancies to be spent in each health state e<sup>.j</sup> with their standard errors (if popbased=1, an additional computation is done using the cross-sectional prevalences, i.e population based) (estepm=%d months): <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  7346:           estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_"));
                   7347:    fprintf(fichtm,"\
1.288     brouard  7348:  - Standard deviation of forward (period) prevalences: <a href=\"%s\">%s</a> <br>\n",\
1.222     brouard  7349:           subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
1.126     brouard  7350: 
                   7351: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   7352: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   7353: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   7354: /*     <br>",fileres,fileres,fileres,fileres); */
                   7355: /*  else  */
                   7356: /*    fprintf(fichtm,"\n No population forecast: popforecast = %d (instead of 1) or stepm = %d (instead of 1) or model=%s (instead of .)<br><br></li>\n",popforecast, stepm, model); */
1.222     brouard  7357:    fflush(fichtm);
1.126     brouard  7358: 
1.225     brouard  7359:    m=pow(2,cptcoveff);
1.222     brouard  7360:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  7361: 
1.317     brouard  7362:    fprintf(fichtm," <ul><li><b>Graphs (second order)</b></li><p>");
                   7363: 
                   7364:   jj1=0;
                   7365: 
                   7366:    fprintf(fichtm," \n<ul>");
                   7367:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   7368:    for(k1=1; k1<=m;k1++){ /* For each combination of covariate */
                   7369:      if(m != 1 && TKresult[nres]!= k1)
                   7370:        continue;
                   7371:      jj1++;
                   7372:      if (cptcovn > 0) {
                   7373:        fprintf(fichtm,"\n<li><a  size=\"1\" color=\"#EC5E5E\" href=\"#rescovsecond");
                   7374:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   7375:         fprintf(fichtm,"_V%d=%d_",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   7376:        }
                   7377:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7378:         fprintf(fichtm,"_V%d=%f_",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7379:        }
                   7380:        fprintf(fichtm,"\">");
                   7381:        
                   7382:        /* if(nqfveff+nqtveff 0) */ /* Test to be done */
                   7383:        fprintf(fichtm,"************ Results for covariates");
                   7384:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   7385:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   7386:        }
                   7387:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7388:         fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7389:        }
                   7390:        if(invalidvarcomb[k1]){
                   7391:         fprintf(fichtm," Warning Combination (%d) ignored because no cases ",k1); 
                   7392:         continue;
                   7393:        }
                   7394:        fprintf(fichtm,"</a></li>");
                   7395:      } /* cptcovn >0 */
                   7396:    }
                   7397:    fprintf(fichtm," \n</ul>");
                   7398: 
1.222     brouard  7399:    jj1=0;
1.237     brouard  7400: 
1.241     brouard  7401:    for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.222     brouard  7402:    for(k1=1; k1<=m;k1++){
1.253     brouard  7403:      if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7404:        continue;
1.222     brouard  7405:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   7406:      jj1++;
1.126     brouard  7407:      if (cptcovn > 0) {
1.317     brouard  7408:        fprintf(fichtm,"\n<p><a name=\"rescovsecond");
                   7409:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   7410:         fprintf(fichtm,"_V%d=%d_",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   7411:        }
                   7412:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7413:         fprintf(fichtm,"_V%d=%f_",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7414:        }
                   7415:        fprintf(fichtm,"\"</a>");
                   7416:        
1.126     brouard  7417:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.317     brouard  7418:        for (cpt=1; cpt<=cptcoveff;cpt++){  /**< cptcoveff number of variables */
1.237     brouard  7419:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);
1.317     brouard  7420:         printf(" V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);fflush(stdout);
1.237     brouard  7421:         /* fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]); */
1.317     brouard  7422:        }
1.237     brouard  7423:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7424:        fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7425:       }
                   7426: 
1.126     brouard  7427:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  7428: 
1.222     brouard  7429:        if(invalidvarcomb[k1]){
                   7430:         fprintf(fichtm,"\n<h4>Combination (%d) ignored because no cases </h4>\n",k1); 
                   7431:         continue;
                   7432:        }
1.126     brouard  7433:      }
                   7434:      for(cpt=1; cpt<=nlstate;cpt++) {
1.258     brouard  7435:        fprintf(fichtm,"\n<br>- Observed (cross-sectional with mov_average=%d) and period (incidence based) \
1.314     brouard  7436: prevalence (with 95%% confidence interval) in state (%d): <a href=\"%s_%d-%d-%d.svg\"> %s_%d-%d-%d.svg</a>",mobilav,cpt,subdirf2(optionfilefiname,"V_"),cpt,k1,nres,subdirf2(optionfilefiname,"V_"),cpt,k1,nres);
                   7437:        fprintf(fichtm," (data from text file  <a href=\"%s\">%s</a>)\n <br>",subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
                   7438:        fprintf(fichtm,"<img src=\"%s_%d-%d-%d.svg\">",subdirf2(optionfilefiname,"V_"), cpt,k1,nres);
1.126     brouard  7439:      }
                   7440:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.314     brouard  7441: health expectancies in each live states (1 to %d). If popbased=1 the smooth (due to the model) \
1.128     brouard  7442: true period expectancies (those weighted with period prevalences are also\
                   7443:  drawn in addition to the population based expectancies computed using\
1.314     brouard  7444:  observed and cahotic prevalences:  <a href=\"%s_%d-%d.svg\">%s_%d-%d.svg</a>",nlstate, subdirf2(optionfilefiname,"E_"),k1,nres,subdirf2(optionfilefiname,"E_"),k1,nres);
                   7445:      fprintf(fichtm," (data from text file <a href=\"%s.txt\">%s.txt</a>) \n<br>",subdirf2(optionfilefiname,"T_"),subdirf2(optionfilefiname,"T_"));
                   7446:      fprintf(fichtm,"<img src=\"%s_%d-%d.svg\">",subdirf2(optionfilefiname,"E_"),k1,nres);
1.222     brouard  7447:      /* } /\* end i1 *\/ */
                   7448:    }/* End k1 */
1.241     brouard  7449:   }/* End nres */
1.222     brouard  7450:    fprintf(fichtm,"</ul>");
                   7451:    fflush(fichtm);
1.126     brouard  7452: }
                   7453: 
                   7454: /******************* Gnuplot file **************/
1.296     brouard  7455: void printinggnuplot(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double bage, double fage , int prevfcast, int prevbcast, char pathc[], double p[], int offyear, int offbyear){
1.126     brouard  7456: 
                   7457:   char dirfileres[132],optfileres[132];
1.264     brouard  7458:   char gplotcondition[132], gplotlabel[132];
1.237     brouard  7459:   int cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,k4=0,ij=0, ijp=0, l=0;
1.211     brouard  7460:   int lv=0, vlv=0, kl=0;
1.130     brouard  7461:   int ng=0;
1.201     brouard  7462:   int vpopbased;
1.223     brouard  7463:   int ioffset; /* variable offset for columns */
1.270     brouard  7464:   int iyearc=1; /* variable column for year of projection  */
                   7465:   int iagec=1; /* variable column for age of projection  */
1.235     brouard  7466:   int nres=0; /* Index of resultline */
1.266     brouard  7467:   int istart=1; /* For starting graphs in projections */
1.219     brouard  7468: 
1.126     brouard  7469: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   7470: /*     printf("Problem with file %s",optionfilegnuplot); */
                   7471: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   7472: /*   } */
                   7473: 
                   7474:   /*#ifdef windows */
                   7475:   fprintf(ficgp,"cd \"%s\" \n",pathc);
1.223     brouard  7476:   /*#endif */
1.225     brouard  7477:   m=pow(2,cptcoveff);
1.126     brouard  7478: 
1.274     brouard  7479:   /* diagram of the model */
                   7480:   fprintf(ficgp,"\n#Diagram of the model \n");
                   7481:   fprintf(ficgp,"\ndelta=0.03;delta2=0.07;unset arrow;\n");
                   7482:   fprintf(ficgp,"yoff=(%d > 2? 0:1);\n",nlstate);
                   7483:   fprintf(ficgp,"\n#Peripheral arrows\nset for [i=1:%d] for [j=1:%d] arrow i*10+j from cos(pi*((1-(%d/2)*2./%d)/2+(i-1)*2./%d))-(i!=j?(i-j)/abs(i-j)*delta:0), yoff +sin(pi*((1-(%d/2)*2./%d)/2+(i-1)*2./%d)) + (i!=j?(i-j)/abs(i-j)*delta:0) rto -0.95*(cos(pi*((1-(%d/2)*2./%d)/2+(i-1)*2./%d))+(i!=j?(i-j)/abs(i-j)*delta:0) - cos(pi*((1-(%d/2)*2./%d)/2+(j-1)*2./%d)) + (i!=j?(i-j)/abs(i-j)*delta2:0)), -0.95*(sin(pi*((1-(%d/2)*2./%d)/2+(i-1)*2./%d)) + (i!=j?(i-j)/abs(i-j)*delta:0) - sin(pi*((1-(%d/2)*2./%d)/2+(j-1)*2./%d))+( i!=j?(i-j)/abs(i-j)*delta2:0)) ls (i < j? 1:2)\n",nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate);
                   7484: 
                   7485:   fprintf(ficgp,"\n#Centripete arrows (turning in other direction (1-i) instead of (i-1)) \nset for [i=1:%d] arrow (%d+1)*10+i from cos(pi*((1-(%d/2)*2./%d)/2+(1-i)*2./%d))-(i!=j?(i-j)/abs(i-j)*delta:0), yoff +sin(pi*((1-(%d/2)*2./%d)/2+(1-i)*2./%d)) + (i!=j?(i-j)/abs(i-j)*delta:0) rto -0.80*(cos(pi*((1-(%d/2)*2./%d)/2+(1-i)*2./%d))+(i!=j?(i-j)/abs(i-j)*delta:0)  ), -0.80*(sin(pi*((1-(%d/2)*2./%d)/2+(1-i)*2./%d)) + (i!=j?(i-j)/abs(i-j)*delta:0) + yoff ) ls 4\n",nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate);
                   7486:   fprintf(ficgp,"\n#show arrow\nunset label\n");
                   7487:   fprintf(ficgp,"\n#States labels, starting from 2 (2-i) instead of (1-i), was (i-1)\nset for [i=1:%d] label i sprintf(\"State %%d\",i) center at cos(pi*((1-(%d/2)*2./%d)/2+(2-i)*2./%d)), yoff+sin(pi*((1-(%d/2)*2./%d)/2+(2-i)*2./%d)) font \"helvetica, 16\" tc rgbcolor \"blue\"\n",nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate);
                   7488:   fprintf(ficgp,"\nset label %d+1 sprintf(\"State %%d\",%d+1) center at 0.,0.  font \"helvetica, 16\" tc rgbcolor \"red\"\n",nlstate,nlstate);
                   7489:   fprintf(ficgp,"\n#show label\nunset border;unset xtics; unset ytics;\n");
                   7490:   fprintf(ficgp,"\n\nset ter svg size 640, 480;set out \"%s_.svg\" \n",subdirf2(optionfilefiname,"D_"));
                   7491:   fprintf(ficgp,"unset log y; plot [-1.2:1.2][yoff-1.2:1.2] 1/0 not; set out;reset;\n");
                   7492: 
1.202     brouard  7493:   /* Contribution to likelihood */
                   7494:   /* Plot the probability implied in the likelihood */
1.223     brouard  7495:   fprintf(ficgp,"\n# Contributions to the Likelihood, mle >=1. For mle=4 no interpolation, pure matrix products.\n#\n");
                   7496:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Likelihood (-2Log(L))\";");
                   7497:   /* fprintf(ficgp,"\nset ter svg size 640, 480"); */ /* Too big for svg */
                   7498:   fprintf(ficgp,"\nset ter pngcairo size 640, 480");
1.204     brouard  7499: /* nice for mle=4 plot by number of matrix products.
1.202     brouard  7500:    replot  "rrtest1/toto.txt" u 2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with point lc 1 */
                   7501: /* replot exp(p1+p2*x)/(1+exp(p1+p2*x)+exp(p3+p4*x)+exp(p5+p6*x)) t "p12(x)"  */
1.223     brouard  7502:   /* fprintf(ficgp,"\nset out \"%s.svg\";",subdirf2(optionfilefiname,"ILK_")); */
                   7503:   fprintf(ficgp,"\nset out \"%s-dest.png\";",subdirf2(optionfilefiname,"ILK_"));
                   7504:   fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$13):6 t \"All sample, transitions colored by destination\" with dots lc variable; set out;\n",subdirf(fileresilk));
                   7505:   fprintf(ficgp,"\nset out \"%s-ori.png\";",subdirf2(optionfilefiname,"ILK_"));
                   7506:   fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$13):5 t \"All sample, transitions colored by origin\" with dots lc variable; set out;\n\n",subdirf(fileresilk));
                   7507:   for (i=1; i<= nlstate ; i ++) {
                   7508:     fprintf(ficgp,"\nset out \"%s-p%dj.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i);
                   7509:     fprintf(ficgp,"unset log;\n# plot weighted, mean weight should have point size of 0.5\n plot  \"%s\"",subdirf(fileresilk));
                   7510:     fprintf(ficgp,"  u  2:($5 == %d && $6==%d ? $10 : 1/0):($12/4.):6 t \"p%d%d\" with points pointtype 7 ps variable lc variable \\\n",i,1,i,1);
                   7511:     for (j=2; j<= nlstate+ndeath ; j ++) {
                   7512:       fprintf(ficgp,",\\\n \"\" u  2:($5 == %d && $6==%d ? $10 : 1/0):($12/4.):6 t \"p%d%d\" with points pointtype 7 ps variable lc variable ",i,j,i,j);
                   7513:     }
                   7514:     fprintf(ficgp,";\nset out; unset ylabel;\n"); 
                   7515:   }
                   7516:   /* 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 */               
                   7517:   /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
                   7518:   /* fprintf(ficgp,"\nreplot  \"%s\" u 2:($3 <= 3 ? -$11 : 1/0):3 t \"First 3 individuals\" with line lc variable", subdirf(fileresilk)); */
                   7519:   fprintf(ficgp,"\nset out;unset log\n");
                   7520:   /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
1.202     brouard  7521: 
1.126     brouard  7522:   strcpy(dirfileres,optionfilefiname);
                   7523:   strcpy(optfileres,"vpl");
1.223     brouard  7524:   /* 1eme*/
1.238     brouard  7525:   for (cpt=1; cpt<= nlstate ; cpt ++){ /* For each live state */
                   7526:     for (k1=1; k1<= m ; k1 ++){ /* For each valid combination of covariate */
1.236     brouard  7527:       for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.238     brouard  7528:        /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
1.253     brouard  7529:        if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7530:          continue;
                   7531:        /* We are interested in selected combination by the resultline */
1.246     brouard  7532:        /* printf("\n# 1st: Period (stable) prevalence with CI: 'VPL_' files and live state =%d ", cpt); */
1.288     brouard  7533:        fprintf(ficgp,"\n# 1st: Forward (stable period) prevalence with CI: 'VPL_' files  and live state =%d ", cpt);
1.264     brouard  7534:        strcpy(gplotlabel,"(");
1.238     brouard  7535:        for (k=1; k<=cptcoveff; k++){    /* For each covariate k get corresponding value lv for combination k1 */
                   7536:          lv= decodtabm(k1,k,cptcoveff); /* Should be the value of the covariate corresponding to k1 combination */
                   7537:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7538:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7539:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7540:          vlv= nbcode[Tvaraff[k]][lv]; /* vlv is the value of the covariate lv, 0 or 1 */
                   7541:          /* For each combination of covariate k1 (V1=1, V3=0), we printed the current covariate k and its value vlv */
1.246     brouard  7542:          /* printf(" V%d=%d ",Tvaraff[k],vlv); */
1.238     brouard  7543:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7544:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7545:        }
                   7546:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.246     brouard  7547:          /* printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
1.238     brouard  7548:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7549:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7550:        }
                   7551:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.246     brouard  7552:        /* printf("\n#\n"); */
1.238     brouard  7553:        fprintf(ficgp,"\n#\n");
                   7554:        if(invalidvarcomb[k1]){
1.260     brouard  7555:           /*k1=k1-1;*/ /* To be checked */
1.238     brouard  7556:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7557:          continue;
                   7558:        }
1.235     brouard  7559:       
1.241     brouard  7560:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1,nres);
                   7561:        fprintf(ficgp,"\n#set out \"V_%s_%d-%d-%d.svg\" \n",optionfilefiname,cpt,k1,nres);
1.276     brouard  7562:        /* fprintf(ficgp,"set label \"Alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel); */
                   7563:        fprintf(ficgp,"set title \"Alive state %d %s\" font \"Helvetica,12\"\n",cpt,gplotlabel);
1.260     brouard  7564:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter svg size 640, 480\nplot [%.f:%.f] \"%s\" every :::%d::%d u 1:($2==%d ? $3:1/0) \"%%lf %%lf",ageminpar,fage,subdirf2(fileresu,"VPL_"),nres-1,nres-1,nres);
                   7565:        /* fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter svg size 640, 480\nplot [%.f:%.f] \"%s\" every :::%d::%d u 1:($2==%d ? $3:1/0) \"%%lf %%lf",ageminpar,fage,subdirf2(fileresu,"VPL_"),k1-1,k1-1,nres); */
                   7566:       /* k1-1 error should be nres-1*/
1.238     brouard  7567:        for (i=1; i<= nlstate ; i ++) {
                   7568:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7569:          else        fprintf(ficgp," %%*lf (%%*lf)");
                   7570:        }
1.288     brouard  7571:        fprintf(ficgp,"\" t\"Forward prevalence\" w l lt 0,\"%s\" every :::%d::%d u 1:($2==%d ? $3+1.96*$4 : 1/0) \"%%lf %%lf",subdirf2(fileresu,"VPL_"),nres-1,nres-1,nres);
1.238     brouard  7572:        for (i=1; i<= nlstate ; i ++) {
                   7573:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7574:          else fprintf(ficgp," %%*lf (%%*lf)");
                   7575:        } 
1.260     brouard  7576:        fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2==%d ? $3-1.96*$4 : 1/0) \"%%lf %%lf",subdirf2(fileresu,"VPL_"),nres-1,nres-1,nres); 
1.238     brouard  7577:        for (i=1; i<= nlstate ; i ++) {
                   7578:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7579:          else fprintf(ficgp," %%*lf (%%*lf)");
                   7580:        }  
1.265     brouard  7581:        /* fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence\" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1)); */
                   7582:        
                   7583:        fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" u 1:((",subdirf2(fileresu,"P_"));
                   7584:         if(cptcoveff ==0){
1.271     brouard  7585:          fprintf(ficgp,"$%d)) t 'Observed prevalence in state %d' with line lt 3",      2+3*(cpt-1),  cpt );
1.265     brouard  7586:        }else{
                   7587:          kl=0;
                   7588:          for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
                   7589:            lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7590:            /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7591:            /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7592:            /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7593:            vlv= nbcode[Tvaraff[k]][lv];
                   7594:            kl++;
                   7595:            /* kl=6+(cpt-1)*(nlstate+1)+1+(i-1); /\* 6+(1-1)*(2+1)+1+(1-1)=7, 6+(2-1)(2+1)+1+(1-1)=10 *\/ */
                   7596:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7597:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7598:            /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
                   7599:            if(k==cptcoveff){
                   7600:              fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Observed prevalence in state %d' w l lt 2",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
                   7601:                      2+cptcoveff*2+3*(cpt-1),  cpt );  /* 4 or 6 ?*/
                   7602:            }else{
                   7603:              fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                   7604:              kl++;
                   7605:            }
                   7606:          } /* end covariate */
                   7607:        } /* end if no covariate */
                   7608: 
1.296     brouard  7609:        if(prevbcast==1){ /* We need to get the corresponding values of the covariates involved in this combination k1 */
1.238     brouard  7610:          /* fprintf(ficgp,",\"%s\" every :::%d::%d u 1:($%d) t\"Backward stable prevalence\" w l lt 3",subdirf2(fileresu,"PLB_"),k1-1,k1-1,1+cpt); */
1.242     brouard  7611:          fprintf(ficgp,",\"%s\" u 1:((",subdirf2(fileresu,"PLB_")); /* Age is in 1, nres in 2 to be fixed */
1.238     brouard  7612:          if(cptcoveff ==0){
1.245     brouard  7613:            fprintf(ficgp,"$%d)) t 'Backward prevalence in state %d' with line lt 3",    2+(cpt-1),  cpt );
1.238     brouard  7614:          }else{
                   7615:            kl=0;
                   7616:            for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
                   7617:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7618:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7619:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7620:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7621:              vlv= nbcode[Tvaraff[k]][lv];
1.223     brouard  7622:              kl++;
1.238     brouard  7623:              /* kl=6+(cpt-1)*(nlstate+1)+1+(i-1); /\* 6+(1-1)*(2+1)+1+(1-1)=7, 6+(2-1)(2+1)+1+(1-1)=10 *\/ */
                   7624:              /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7625:              /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7626:              /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
                   7627:              if(k==cptcoveff){
1.245     brouard  7628:                fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Backward prevalence in state %d' w l lt 3",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
1.242     brouard  7629:                        2+cptcoveff*2+(cpt-1),  cpt );  /* 4 or 6 ?*/
1.238     brouard  7630:              }else{
                   7631:                fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                   7632:                kl++;
                   7633:              }
                   7634:            } /* end covariate */
                   7635:          } /* end if no covariate */
1.296     brouard  7636:          if(prevbcast == 1){
1.268     brouard  7637:            fprintf(ficgp,", \"%s\" every :::%d::%d u 1:($2==%d ? $3:1/0) \"%%lf %%lf",subdirf2(fileresu,"VBL_"),nres-1,nres-1,nres);
                   7638:            /* k1-1 error should be nres-1*/
                   7639:            for (i=1; i<= nlstate ; i ++) {
                   7640:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7641:              else        fprintf(ficgp," %%*lf (%%*lf)");
                   7642:            }
1.271     brouard  7643:            fprintf(ficgp,"\" t\"Backward (stable) prevalence\" w l lt 6 dt 3,\"%s\" every :::%d::%d u 1:($2==%d ? $3+1.96*$4 : 1/0) \"%%lf %%lf",subdirf2(fileresu,"VBL_"),nres-1,nres-1,nres);
1.268     brouard  7644:            for (i=1; i<= nlstate ; i ++) {
                   7645:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7646:              else fprintf(ficgp," %%*lf (%%*lf)");
                   7647:            } 
1.276     brouard  7648:            fprintf(ficgp,"\" t\"95%% CI\" w l lt 4,\"%s\" every :::%d::%d u 1:($2==%d ? $3-1.96*$4 : 1/0) \"%%lf %%lf",subdirf2(fileresu,"VBL_"),nres-1,nres-1,nres); 
1.268     brouard  7649:            for (i=1; i<= nlstate ; i ++) {
                   7650:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7651:              else fprintf(ficgp," %%*lf (%%*lf)");
                   7652:            } 
1.274     brouard  7653:            fprintf(ficgp,"\" t\"\" w l lt 4");
1.268     brouard  7654:          } /* end if backprojcast */
1.296     brouard  7655:        } /* end if prevbcast */
1.276     brouard  7656:        /* fprintf(ficgp,"\nset out ;unset label;\n"); */
                   7657:        fprintf(ficgp,"\nset out ;unset title;\n");
1.238     brouard  7658:       } /* nres */
1.201     brouard  7659:     } /* k1 */
                   7660:   } /* cpt */
1.235     brouard  7661: 
                   7662:   
1.126     brouard  7663:   /*2 eme*/
1.238     brouard  7664:   for (k1=1; k1<= m ; k1 ++){  
                   7665:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7666:       if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7667:        continue;
                   7668:       fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files ");
1.264     brouard  7669:       strcpy(gplotlabel,"(");
1.238     brouard  7670:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.225     brouard  7671:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  7672:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7673:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7674:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7675:        vlv= nbcode[Tvaraff[k]][lv];
                   7676:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7677:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  7678:       }
1.237     brouard  7679:       /* for(k=1; k <= ncovds; k++){ */
1.236     brouard  7680:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.238     brouard  7681:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.236     brouard  7682:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7683:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7684:       }
1.264     brouard  7685:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.211     brouard  7686:       fprintf(ficgp,"\n#\n");
1.223     brouard  7687:       if(invalidvarcomb[k1]){
                   7688:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7689:        continue;
                   7690:       }
1.219     brouard  7691:                        
1.241     brouard  7692:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"E_"),k1,nres);
1.238     brouard  7693:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.264     brouard  7694:        fprintf(ficgp,"\nset label \"popbased %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",vpopbased,gplotlabel);
                   7695:        if(vpopbased==0){
1.238     brouard  7696:          fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
1.264     brouard  7697:        }else
1.238     brouard  7698:          fprintf(ficgp,"\nreplot ");
                   7699:        for (i=1; i<= nlstate+1 ; i ++) {
                   7700:          k=2*i;
1.261     brouard  7701:          fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2==%d && $4!=0 ?$4 : 1/0) \"%%lf %%lf %%lf",subdirf2(fileresu,"T_"),nres-1,nres-1, vpopbased);
1.238     brouard  7702:          for (j=1; j<= nlstate+1 ; j ++) {
                   7703:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7704:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7705:          }   
                   7706:          if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l lt %d, \\\n",i);
                   7707:          else fprintf(ficgp,"\" t\"LE in state (%d)\" w l lt %d, \\\n",i-1,i+1);
1.261     brouard  7708:          fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2==%d && $4!=0 ? $4-$5*2 : 1/0) \"%%lf %%lf %%lf",subdirf2(fileresu,"T_"),nres-1,nres-1,vpopbased);
1.238     brouard  7709:          for (j=1; j<= nlstate+1 ; j ++) {
                   7710:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7711:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7712:          }   
                   7713:          fprintf(ficgp,"\" t\"\" w l lt 0,");
1.261     brouard  7714:          fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2==%d && $4!=0 ? $4+$5*2 : 1/0) \"%%lf %%lf %%lf",subdirf2(fileresu,"T_"),nres-1,nres-1,vpopbased);
1.238     brouard  7715:          for (j=1; j<= nlstate+1 ; j ++) {
                   7716:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7717:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7718:          }   
                   7719:          if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   7720:          else fprintf(ficgp,"\" t\"\" w l lt 0,\\\n");
                   7721:        } /* state */
                   7722:       } /* vpopbased */
1.264     brouard  7723:       fprintf(ficgp,"\nset out;set out \"%s_%d-%d.svg\"; replot; set out; unset label;\n",subdirf2(optionfilefiname,"E_"),k1,nres); /* Buggy gnuplot */
1.238     brouard  7724:     } /* end nres */
                   7725:   } /* k1 end 2 eme*/
                   7726:        
                   7727:        
                   7728:   /*3eme*/
                   7729:   for (k1=1; k1<= m ; k1 ++){
                   7730:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7731:       if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7732:        continue;
                   7733: 
                   7734:       for (cpt=1; cpt<= nlstate ; cpt ++) {
1.261     brouard  7735:        fprintf(ficgp,"\n\n# 3d: Life expectancy with EXP_ files:  combination=%d state=%d",k1, cpt);
1.264     brouard  7736:        strcpy(gplotlabel,"(");
1.238     brouard  7737:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7738:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7739:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7740:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7741:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7742:          vlv= nbcode[Tvaraff[k]][lv];
                   7743:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7744:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7745:        }
                   7746:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7747:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7748:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7749:        }       
1.264     brouard  7750:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7751:        fprintf(ficgp,"\n#\n");
                   7752:        if(invalidvarcomb[k1]){
                   7753:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7754:          continue;
                   7755:        }
                   7756:                        
                   7757:        /*       k=2+nlstate*(2*cpt-2); */
                   7758:        k=2+(nlstate+1)*(cpt-1);
1.241     brouard  7759:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres);
1.264     brouard  7760:        fprintf(ficgp,"set label \"%s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",gplotlabel);
1.238     brouard  7761:        fprintf(ficgp,"set ter svg size 640, 480\n\
1.261     brouard  7762: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileresu,"E_"),nres-1,nres-1,k,cpt);
1.238     brouard  7763:        /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   7764:          for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   7765:          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   7766:          fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   7767:          for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   7768:          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
1.219     brouard  7769:                                
1.238     brouard  7770:        */
                   7771:        for (i=1; i< nlstate ; i ++) {
1.261     brouard  7772:          fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileresu,"E_"),nres-1,nres-1,k+i,cpt,i+1);
1.238     brouard  7773:          /*    fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+2*i,cpt,i+1);*/
1.219     brouard  7774:                                
1.238     brouard  7775:        } 
1.261     brouard  7776:        fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d.\" w l",subdirf2(fileresu,"E_"),nres-1,nres-1,k+nlstate,cpt);
1.238     brouard  7777:       }
1.264     brouard  7778:       fprintf(ficgp,"\nunset label;\n");
1.238     brouard  7779:     } /* end nres */
                   7780:   } /* end kl 3eme */
1.126     brouard  7781:   
1.223     brouard  7782:   /* 4eme */
1.201     brouard  7783:   /* Survival functions (period) from state i in state j by initial state i */
1.238     brouard  7784:   for (k1=1; k1<=m; k1++){    /* For each covariate and each value */
                   7785:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7786:       if(m != 1 && TKresult[nres]!= k1)
1.223     brouard  7787:        continue;
1.238     brouard  7788:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state cpt*/
1.264     brouard  7789:        strcpy(gplotlabel,"(");
1.238     brouard  7790:        fprintf(ficgp,"\n#\n#\n# Survival functions in state j : 'LIJ_' files, cov=%d state=%d",k1, cpt);
                   7791:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7792:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7793:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7794:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7795:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7796:          vlv= nbcode[Tvaraff[k]][lv];
                   7797:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7798:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7799:        }
                   7800:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7801:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7802:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7803:        }       
1.264     brouard  7804:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7805:        fprintf(ficgp,"\n#\n");
                   7806:        if(invalidvarcomb[k1]){
                   7807:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7808:          continue;
1.223     brouard  7809:        }
1.238     brouard  7810:       
1.241     brouard  7811:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres);
1.264     brouard  7812:        fprintf(ficgp,"set label \"Alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
1.238     brouard  7813:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   7814: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7815:        k=3;
                   7816:        for (i=1; i<= nlstate ; i ++){
                   7817:          if(i==1){
                   7818:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7819:          }else{
                   7820:            fprintf(ficgp,", '' ");
                   7821:          }
                   7822:          l=(nlstate+ndeath)*(i-1)+1;
                   7823:          fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   7824:          for (j=2; j<= nlstate+ndeath ; j ++)
                   7825:            fprintf(ficgp,"+$%d",k+l+j-1);
                   7826:          fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
                   7827:        } /* nlstate */
1.264     brouard  7828:        fprintf(ficgp,"\nset out; unset label;\n");
1.238     brouard  7829:       } /* end cpt state*/ 
                   7830:     } /* end nres */
                   7831:   } /* end covariate k1 */  
                   7832: 
1.220     brouard  7833: /* 5eme */
1.201     brouard  7834:   /* Survival functions (period) from state i in state j by final state j */
1.238     brouard  7835:   for (k1=1; k1<= m ; k1++){ /* For each covariate combination if any */
                   7836:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7837:       if(m != 1 && TKresult[nres]!= k1)
1.227     brouard  7838:        continue;
1.238     brouard  7839:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each inital state  */
1.264     brouard  7840:        strcpy(gplotlabel,"(");
1.238     brouard  7841:        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);
                   7842:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7843:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7844:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7845:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7846:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7847:          vlv= nbcode[Tvaraff[k]][lv];
                   7848:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7849:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7850:        }
                   7851:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7852:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7853:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7854:        }       
1.264     brouard  7855:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7856:        fprintf(ficgp,"\n#\n");
                   7857:        if(invalidvarcomb[k1]){
                   7858:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7859:          continue;
                   7860:        }
1.227     brouard  7861:       
1.241     brouard  7862:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres);
1.264     brouard  7863:        fprintf(ficgp,"set label \"Alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
1.238     brouard  7864:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   7865: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7866:        k=3;
                   7867:        for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   7868:          if(j==1)
                   7869:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7870:          else
                   7871:            fprintf(ficgp,", '' ");
                   7872:          l=(nlstate+ndeath)*(cpt-1) +j;
                   7873:          fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):($%d",k1,k+l);
                   7874:          /* for (i=2; i<= nlstate+ndeath ; i ++) */
                   7875:          /*   fprintf(ficgp,"+$%d",k+l+i-1); */
                   7876:          fprintf(ficgp,") t \"l(%d,%d)\" w l",cpt,j);
                   7877:        } /* nlstate */
                   7878:        fprintf(ficgp,", '' ");
                   7879:        fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):(",k1);
                   7880:        for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   7881:          l=(nlstate+ndeath)*(cpt-1) +j;
                   7882:          if(j < nlstate)
                   7883:            fprintf(ficgp,"$%d +",k+l);
                   7884:          else
                   7885:            fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
                   7886:        }
1.264     brouard  7887:        fprintf(ficgp,"\nset out; unset label;\n");
1.238     brouard  7888:       } /* end cpt state*/ 
                   7889:     } /* end covariate */  
                   7890:   } /* end nres */
1.227     brouard  7891:   
1.220     brouard  7892: /* 6eme */
1.202     brouard  7893:   /* CV preval stable (period) for each covariate */
1.237     brouard  7894:   for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7895:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7896:     if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7897:       continue;
1.255     brouard  7898:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state of arrival */
1.264     brouard  7899:       strcpy(gplotlabel,"(");      
1.288     brouard  7900:       fprintf(ficgp,"\n#\n#\n#CV preval stable (forward): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
1.225     brouard  7901:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.227     brouard  7902:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7903:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7904:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7905:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7906:        vlv= nbcode[Tvaraff[k]][lv];
                   7907:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7908:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  7909:       }
1.237     brouard  7910:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7911:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7912:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7913:       }        
1.264     brouard  7914:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.211     brouard  7915:       fprintf(ficgp,"\n#\n");
1.223     brouard  7916:       if(invalidvarcomb[k1]){
1.227     brouard  7917:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7918:        continue;
1.223     brouard  7919:       }
1.227     brouard  7920:       
1.241     brouard  7921:       fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"P_"),cpt,k1,nres);
1.264     brouard  7922:       fprintf(ficgp,"set label \"Alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
1.126     brouard  7923:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.238     brouard  7924: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  7925:       k=3; /* Offset */
1.255     brouard  7926:       for (i=1; i<= nlstate ; i ++){ /* State of origin */
1.227     brouard  7927:        if(i==1)
                   7928:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7929:        else
                   7930:          fprintf(ficgp,", '' ");
1.255     brouard  7931:        l=(nlstate+ndeath)*(i-1)+1; /* 1, 1+ nlstate+ndeath, 1+2*(nlstate+ndeath) */
1.227     brouard  7932:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   7933:        for (j=2; j<= nlstate ; j ++)
                   7934:          fprintf(ficgp,"+$%d",k+l+j-1);
                   7935:        fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
1.153     brouard  7936:       } /* nlstate */
1.264     brouard  7937:       fprintf(ficgp,"\nset out; unset label;\n");
1.153     brouard  7938:     } /* end cpt state*/ 
                   7939:   } /* end covariate */  
1.227     brouard  7940:   
                   7941:   
1.220     brouard  7942: /* 7eme */
1.296     brouard  7943:   if(prevbcast == 1){
1.288     brouard  7944:     /* CV backward prevalence  for each covariate */
1.237     brouard  7945:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7946:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7947:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7948:        continue;
1.268     brouard  7949:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life origin state */
1.264     brouard  7950:        strcpy(gplotlabel,"(");      
1.288     brouard  7951:        fprintf(ficgp,"\n#\n#\n#CV Backward stable prevalence: 'pijb' files, covariatecombination#=%d state=%d",k1, cpt);
1.227     brouard  7952:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7953:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7954:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7955:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
1.223     brouard  7956:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
1.227     brouard  7957:          vlv= nbcode[Tvaraff[k]][lv];
                   7958:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7959:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.227     brouard  7960:        }
1.237     brouard  7961:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7962:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7963:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7964:        }       
1.264     brouard  7965:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.227     brouard  7966:        fprintf(ficgp,"\n#\n");
                   7967:        if(invalidvarcomb[k1]){
                   7968:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7969:          continue;
                   7970:        }
                   7971:        
1.241     brouard  7972:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PB_"),cpt,k1,nres);
1.268     brouard  7973:        fprintf(ficgp,"set label \"Origin alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
1.227     brouard  7974:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.238     brouard  7975: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.227     brouard  7976:        k=3; /* Offset */
1.268     brouard  7977:        for (i=1; i<= nlstate ; i ++){ /* State of arrival */
1.227     brouard  7978:          if(i==1)
                   7979:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJB_"));
                   7980:          else
                   7981:            fprintf(ficgp,", '' ");
                   7982:          /* l=(nlstate+ndeath)*(i-1)+1; */
1.255     brouard  7983:          l=(nlstate+ndeath)*(cpt-1)+1; /* fixed for i; cpt=1 1, cpt=2 1+ nlstate+ndeath, 1+2*(nlstate+ndeath) */
1.227     brouard  7984:          /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l); /\* a vérifier *\/ */
                   7985:          /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l+(cpt-1)+i-1); /\* a vérifier *\/ */
1.255     brouard  7986:          fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d",k1,k+l+i-1); /* To be verified */
1.227     brouard  7987:          /* for (j=2; j<= nlstate ; j ++) */
                   7988:          /*    fprintf(ficgp,"+$%d",k+l+j-1); */
                   7989:          /*    /\* fprintf(ficgp,"+$%d",k+l+j-1); *\/ */
1.268     brouard  7990:          fprintf(ficgp,") t \"bprev(%d,%d)\" w l",cpt,i);
1.227     brouard  7991:        } /* nlstate */
1.264     brouard  7992:        fprintf(ficgp,"\nset out; unset label;\n");
1.218     brouard  7993:       } /* end cpt state*/ 
                   7994:     } /* end covariate */  
1.296     brouard  7995:   } /* End if prevbcast */
1.218     brouard  7996:   
1.223     brouard  7997:   /* 8eme */
1.218     brouard  7998:   if(prevfcast==1){
1.288     brouard  7999:     /* Projection from cross-sectional to forward stable (period) prevalence for each covariate */
1.218     brouard  8000:     
1.237     brouard  8001:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   8002:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  8003:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  8004:        continue;
1.211     brouard  8005:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.264     brouard  8006:        strcpy(gplotlabel,"(");      
1.288     brouard  8007:        fprintf(ficgp,"\n#\n#\n#Projection of prevalence to forward stable prevalence (period): 'PROJ_' files, covariatecombination#=%d state=%d",k1, cpt);
1.227     brouard  8008:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   8009:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   8010:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   8011:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   8012:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   8013:          vlv= nbcode[Tvaraff[k]][lv];
                   8014:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  8015:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.227     brouard  8016:        }
1.237     brouard  8017:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   8018:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  8019:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  8020:        }       
1.264     brouard  8021:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.227     brouard  8022:        fprintf(ficgp,"\n#\n");
                   8023:        if(invalidvarcomb[k1]){
                   8024:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   8025:          continue;
                   8026:        }
                   8027:        
                   8028:        fprintf(ficgp,"# hpijx=probability over h years, hp.jx is weighted by observed prev\n ");
1.241     brouard  8029:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres);
1.264     brouard  8030:        fprintf(ficgp,"set label \"Alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
1.227     brouard  8031:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
1.238     brouard  8032: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.266     brouard  8033: 
                   8034:        /* for (i=1; i<= nlstate+1 ; i ++){  /\* nlstate +1 p11 p21 p.1 *\/ */
                   8035:        istart=nlstate+1; /* Could be one if by state, but nlstate+1 is w.i projection only */
                   8036:        /*istart=1;*/ /* Could be one if by state, but nlstate+1 is w.i projection only */
                   8037:        for (i=istart; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
1.227     brouard  8038:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   8039:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   8040:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   8041:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
1.266     brouard  8042:          if(i==istart){
1.227     brouard  8043:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"F_"));
                   8044:          }else{
                   8045:            fprintf(ficgp,",\\\n '' ");
                   8046:          }
                   8047:          if(cptcoveff ==0){ /* No covariate */
                   8048:            ioffset=2; /* Age is in 2 */
                   8049:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   8050:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   8051:            /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   8052:            /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   8053:            fprintf(ficgp," u %d:(", ioffset); 
1.266     brouard  8054:            if(i==nlstate+1){
1.270     brouard  8055:              fprintf(ficgp," $%d/(1.-$%d)):1 t 'pw.%d' with line lc variable ",        \
1.266     brouard  8056:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   8057:              fprintf(ficgp,",\\\n '' ");
                   8058:              fprintf(ficgp," u %d:(",ioffset); 
1.270     brouard  8059:              fprintf(ficgp," (($1-$2) == %d ) ? $%d/(1.-$%d) : 1/0):1 with labels center not ", \
1.266     brouard  8060:                     offyear,                           \
1.268     brouard  8061:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate );
1.266     brouard  8062:            }else
1.227     brouard  8063:              fprintf(ficgp," $%d/(1.-$%d)) t 'p%d%d' with line ",      \
                   8064:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   8065:          }else{ /* more than 2 covariates */
1.270     brouard  8066:            ioffset=2*cptcoveff+2; /* Age is in 4 or 6 or etc.*/
                   8067:            /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   8068:            /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
                   8069:            iyearc=ioffset-1;
                   8070:            iagec=ioffset;
1.227     brouard  8071:            fprintf(ficgp," u %d:(",ioffset); 
                   8072:            kl=0;
                   8073:            strcpy(gplotcondition,"(");
                   8074:            for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                   8075:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
                   8076:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   8077:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   8078:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   8079:              vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   8080:              kl++;
                   8081:              sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                   8082:              kl++;
                   8083:              if(k <cptcoveff && cptcoveff>1)
                   8084:                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   8085:            }
                   8086:            strcpy(gplotcondition+strlen(gplotcondition),")");
                   8087:            /* kl=6+(cpt-1)*(nlstate+1)+1+(i-1); /\* 6+(1-1)*(2+1)+1+(1-1)=7, 6+(2-1)(2+1)+1+(1-1)=10 *\/ */
                   8088:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   8089:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   8090:            /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
                   8091:            if(i==nlstate+1){
1.270     brouard  8092:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0):%d t 'p.%d' with line lc variable", gplotcondition, \
                   8093:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,iyearc, cpt );
1.266     brouard  8094:              fprintf(ficgp,",\\\n '' ");
1.270     brouard  8095:              fprintf(ficgp," u %d:(",iagec); 
                   8096:              fprintf(ficgp,"%s && (($%d-$%d) == %d ) ? $%d/(1.-$%d) : 1/0):%d with labels center not ", gplotcondition, \
                   8097:                      iyearc, iagec, offyear,                           \
                   8098:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate, iyearc );
1.266     brouard  8099: /*  '' u 6:(($1==1 && $2==0  && $3==2 && $4==0) && (($5-$6) == 1947) ? $10/(1.-$22) : 1/0):5 with labels center boxed not*/
1.227     brouard  8100:            }else{
                   8101:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \
                   8102:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), ioffset +1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   8103:            }
                   8104:          } /* end if covariate */
                   8105:        } /* nlstate */
1.264     brouard  8106:        fprintf(ficgp,"\nset out; unset label;\n");
1.223     brouard  8107:       } /* end cpt state*/
                   8108:     } /* end covariate */
                   8109:   } /* End if prevfcast */
1.227     brouard  8110:   
1.296     brouard  8111:   if(prevbcast==1){
1.268     brouard  8112:     /* Back projection from cross-sectional to stable (mixed) for each covariate */
                   8113:     
                   8114:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   8115:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   8116:       if(m != 1 && TKresult[nres]!= k1)
                   8117:        continue;
                   8118:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
                   8119:        strcpy(gplotlabel,"(");      
                   8120:        fprintf(ficgp,"\n#\n#\n#Back projection of prevalence to stable (mixed) back prevalence: 'BPROJ_' files, covariatecombination#=%d originstate=%d",k1, cpt);
                   8121:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   8122:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   8123:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   8124:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   8125:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   8126:          vlv= nbcode[Tvaraff[k]][lv];
                   8127:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   8128:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
                   8129:        }
                   8130:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   8131:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   8132:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   8133:        }       
                   8134:        strcpy(gplotlabel+strlen(gplotlabel),")");
                   8135:        fprintf(ficgp,"\n#\n");
                   8136:        if(invalidvarcomb[k1]){
                   8137:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   8138:          continue;
                   8139:        }
                   8140:        
                   8141:        fprintf(ficgp,"# hbijx=backprobability over h years, hb.jx is weighted by observed prev at destination state\n ");
                   8142:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres);
                   8143:        fprintf(ficgp,"set label \"Origin alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
                   8144:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
                   8145: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   8146: 
                   8147:        /* for (i=1; i<= nlstate+1 ; i ++){  /\* nlstate +1 p11 p21 p.1 *\/ */
                   8148:        istart=nlstate+1; /* Could be one if by state, but nlstate+1 is w.i projection only */
                   8149:        /*istart=1;*/ /* Could be one if by state, but nlstate+1 is w.i projection only */
                   8150:        for (i=istart; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
                   8151:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   8152:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   8153:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   8154:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   8155:          if(i==istart){
                   8156:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"FB_"));
                   8157:          }else{
                   8158:            fprintf(ficgp,",\\\n '' ");
                   8159:          }
                   8160:          if(cptcoveff ==0){ /* No covariate */
                   8161:            ioffset=2; /* Age is in 2 */
                   8162:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   8163:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   8164:            /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   8165:            /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   8166:            fprintf(ficgp," u %d:(", ioffset); 
                   8167:            if(i==nlstate+1){
1.270     brouard  8168:              fprintf(ficgp," $%d/(1.-$%d)):1 t 'bw%d' with line lc variable ", \
1.268     brouard  8169:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   8170:              fprintf(ficgp,",\\\n '' ");
                   8171:              fprintf(ficgp," u %d:(",ioffset); 
1.270     brouard  8172:              fprintf(ficgp," (($1-$2) == %d ) ? $%d : 1/0):1 with labels center not ", \
1.268     brouard  8173:                     offbyear,                          \
                   8174:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1) );
                   8175:            }else
                   8176:              fprintf(ficgp," $%d/(1.-$%d)) t 'b%d%d' with line ",      \
                   8177:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt,i );
                   8178:          }else{ /* more than 2 covariates */
1.270     brouard  8179:            ioffset=2*cptcoveff+2; /* Age is in 4 or 6 or etc.*/
                   8180:            /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   8181:            /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
                   8182:            iyearc=ioffset-1;
                   8183:            iagec=ioffset;
1.268     brouard  8184:            fprintf(ficgp," u %d:(",ioffset); 
                   8185:            kl=0;
                   8186:            strcpy(gplotcondition,"(");
                   8187:            for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                   8188:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
                   8189:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   8190:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   8191:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   8192:              vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   8193:              kl++;
                   8194:              sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                   8195:              kl++;
                   8196:              if(k <cptcoveff && cptcoveff>1)
                   8197:                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   8198:            }
                   8199:            strcpy(gplotcondition+strlen(gplotcondition),")");
                   8200:            /* kl=6+(cpt-1)*(nlstate+1)+1+(i-1); /\* 6+(1-1)*(2+1)+1+(1-1)=7, 6+(2-1)(2+1)+1+(1-1)=10 *\/ */
                   8201:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   8202:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   8203:            /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
                   8204:            if(i==nlstate+1){
1.270     brouard  8205:              fprintf(ficgp,"%s ? $%d : 1/0):%d t 'bw%d' with line lc variable", gplotcondition, \
                   8206:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),iyearc,cpt );
1.268     brouard  8207:              fprintf(ficgp,",\\\n '' ");
1.270     brouard  8208:              fprintf(ficgp," u %d:(",iagec); 
1.268     brouard  8209:              /* fprintf(ficgp,"%s && (($5-$6) == %d ) ? $%d/(1.-$%d) : 1/0):5 with labels center not ", gplotcondition, \ */
1.270     brouard  8210:              fprintf(ficgp,"%s && (($%d-$%d) == %d ) ? $%d : 1/0):%d with labels center not ", gplotcondition, \
                   8211:                      iyearc,iagec,offbyear,                            \
                   8212:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), iyearc );
1.268     brouard  8213: /*  '' u 6:(($1==1 && $2==0  && $3==2 && $4==0) && (($5-$6) == 1947) ? $10/(1.-$22) : 1/0):5 with labels center boxed not*/
                   8214:            }else{
                   8215:              /* fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \ */
                   8216:              fprintf(ficgp,"%s ? $%d : 1/0) t 'b%d%d' with line ", gplotcondition, \
                   8217:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), cpt,i );
                   8218:            }
                   8219:          } /* end if covariate */
                   8220:        } /* nlstate */
                   8221:        fprintf(ficgp,"\nset out; unset label;\n");
                   8222:       } /* end cpt state*/
                   8223:     } /* end covariate */
1.296     brouard  8224:   } /* End if prevbcast */
1.268     brouard  8225:   
1.227     brouard  8226:   
1.238     brouard  8227:   /* 9eme writing MLE parameters */
                   8228:   fprintf(ficgp,"\n##############\n#9eme MLE estimated parameters\n#############\n");
1.126     brouard  8229:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  8230:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  8231:     for(k=1; k <=(nlstate+ndeath); k++){
                   8232:       if (k != i) {
1.227     brouard  8233:        fprintf(ficgp,"#   current state %d\n",k);
                   8234:        for(j=1; j <=ncovmodel; j++){
                   8235:          fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
                   8236:          jk++; 
                   8237:        }
                   8238:        fprintf(ficgp,"\n");
1.126     brouard  8239:       }
                   8240:     }
1.223     brouard  8241:   }
1.187     brouard  8242:   fprintf(ficgp,"##############\n#\n");
1.227     brouard  8243:   
1.145     brouard  8244:   /*goto avoid;*/
1.238     brouard  8245:   /* 10eme Graphics of probabilities or incidences using written MLE parameters */
                   8246:   fprintf(ficgp,"\n##############\n#10eme Graphics of probabilities or incidences\n#############\n");
1.187     brouard  8247:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   8248:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   8249:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   8250:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   8251:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   8252:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   8253:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   8254:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   8255:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   8256:   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   8257:   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
                   8258:   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   8259:   fprintf(ficgp,"#\n");
1.223     brouard  8260:   for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
1.238     brouard  8261:     fprintf(ficgp,"#Number of graphics: first is logit, 2nd is probabilities, third is incidences per year\n");
1.237     brouard  8262:     fprintf(ficgp,"#model=%s \n",model);
1.238     brouard  8263:     fprintf(ficgp,"# Type of graphic ng=%d\n",ng);
1.264     brouard  8264:     fprintf(ficgp,"#   k1=1 to 2^%d=%d\n",cptcoveff,m);/* to be checked */
                   8265:     for(k1=1; k1 <=m; k1++)  /* For each combination of covariate */
1.237     brouard  8266:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.264     brouard  8267:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  8268:        continue;
1.264     brouard  8269:       fprintf(ficgp,"\n\n# Combination of dummy  k1=%d which is ",k1);
                   8270:       strcpy(gplotlabel,"(");
1.276     brouard  8271:       /*sprintf(gplotlabel+strlen(gplotlabel)," Dummy combination %d ",k1);*/
1.264     brouard  8272:       for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   8273:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   8274:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   8275:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   8276:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   8277:        vlv= nbcode[Tvaraff[k]][lv];
                   8278:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   8279:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
                   8280:       }
1.237     brouard  8281:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   8282:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  8283:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  8284:       }        
1.264     brouard  8285:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.237     brouard  8286:       fprintf(ficgp,"\n#\n");
1.264     brouard  8287:       fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),k1,ng,nres);
1.276     brouard  8288:       fprintf(ficgp,"\nset key outside ");
                   8289:       /* fprintf(ficgp,"\nset label \"%s\" at graph 1.2,0.5 center rotate font \"Helvetica,12\"\n",gplotlabel); */
                   8290:       fprintf(ficgp,"\nset title \"%s\" font \"Helvetica,12\"\n",gplotlabel);
1.223     brouard  8291:       fprintf(ficgp,"\nset ter svg size 640, 480 ");
                   8292:       if (ng==1){
                   8293:        fprintf(ficgp,"\nset ylabel \"Value of the logit of the model\"\n"); /* exp(a12+b12*x) could be nice */
                   8294:        fprintf(ficgp,"\nunset log y");
                   8295:       }else if (ng==2){
                   8296:        fprintf(ficgp,"\nset ylabel \"Probability\"\n");
                   8297:        fprintf(ficgp,"\nset log y");
                   8298:       }else if (ng==3){
                   8299:        fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
                   8300:        fprintf(ficgp,"\nset log y");
                   8301:       }else
                   8302:        fprintf(ficgp,"\nunset title ");
                   8303:       fprintf(ficgp,"\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
                   8304:       i=1;
                   8305:       for(k2=1; k2<=nlstate; k2++) {
                   8306:        k3=i;
                   8307:        for(k=1; k<=(nlstate+ndeath); k++) {
                   8308:          if (k != k2){
                   8309:            switch( ng) {
                   8310:            case 1:
                   8311:              if(nagesqr==0)
                   8312:                fprintf(ficgp," p%d+p%d*x",i,i+1);
                   8313:              else /* nagesqr =1 */
                   8314:                fprintf(ficgp," p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   8315:              break;
                   8316:            case 2: /* ng=2 */
                   8317:              if(nagesqr==0)
                   8318:                fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   8319:              else /* nagesqr =1 */
                   8320:                fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   8321:              break;
                   8322:            case 3:
                   8323:              if(nagesqr==0)
                   8324:                fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   8325:              else /* nagesqr =1 */
                   8326:                fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                   8327:              break;
                   8328:            }
                   8329:            ij=1;/* To be checked else nbcode[0][0] wrong */
1.237     brouard  8330:            ijp=1; /* product no age */
                   8331:            /* for(j=3; j <=ncovmodel-nagesqr; j++) { */
                   8332:            for(j=1; j <=cptcovt; j++) { /* For each covariate of the simplified model */
1.223     brouard  8333:              /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
1.268     brouard  8334:              if(cptcovage >0){ /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
                   8335:                if(j==Tage[ij]) { /* Product by age  To be looked at!!*/
                   8336:                  if(ij <=cptcovage) { /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
                   8337:                    if(DummyV[j]==0){
                   8338:                      fprintf(ficgp,"+p%d*%d*x",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]);;
                   8339:                    }else{ /* quantitative */
                   8340:                      fprintf(ficgp,"+p%d*%f*x",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /* Tqinvresult in decoderesult */
                   8341:                      /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
                   8342:                    }
                   8343:                    ij++;
1.237     brouard  8344:                  }
1.268     brouard  8345:                } 
                   8346:              }else if(cptcovprod >0){
                   8347:                if(j==Tprod[ijp]) { /* */ 
                   8348:                  /* printf("Tprod[%d]=%d, j=%d\n", ij, Tprod[ijp], j); */
                   8349:                  if(ijp <=cptcovprod) { /* Product */
                   8350:                    if(DummyV[Tvard[ijp][1]]==0){/* Vn is dummy */
                   8351:                      if(DummyV[Tvard[ijp][2]]==0){/* Vn and Vm are dummy */
                   8352:                        /* fprintf(ficgp,"+p%d*%d*%d",i+j+2+nagesqr-1,nbcode[Tvard[ijp][1]][codtabm(k1,j)],nbcode[Tvard[ijp][2]][codtabm(k1,j)]); */
                   8353:                        fprintf(ficgp,"+p%d*%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tinvresult[nres][Tvard[ijp][2]]);
                   8354:                      }else{ /* Vn is dummy and Vm is quanti */
                   8355:                        /* fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,nbcode[Tvard[ijp][1]][codtabm(k1,j)],Tqinvresult[nres][Tvard[ijp][2]]); */
                   8356:                        fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
                   8357:                      }
                   8358:                    }else{ /* Vn*Vm Vn is quanti */
                   8359:                      if(DummyV[Tvard[ijp][2]]==0){
                   8360:                        fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][2]],Tqinvresult[nres][Tvard[ijp][1]]);
                   8361:                      }else{ /* Both quanti */
                   8362:                        fprintf(ficgp,"+p%d*%f*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
                   8363:                      }
1.237     brouard  8364:                    }
1.268     brouard  8365:                    ijp++;
1.237     brouard  8366:                  }
1.268     brouard  8367:                } /* end Tprod */
1.237     brouard  8368:              } else{  /* simple covariate */
1.264     brouard  8369:                /* fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,nbcode[Tvar[j]][codtabm(k1,j)]); /\* Valgrind bug nbcode *\/ */
1.237     brouard  8370:                if(Dummy[j]==0){
                   8371:                  fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]); /*  */
                   8372:                }else{ /* quantitative */
                   8373:                  fprintf(ficgp,"+p%d*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /* */
1.264     brouard  8374:                  /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
1.223     brouard  8375:                }
1.237     brouard  8376:              } /* end simple */
                   8377:            } /* end j */
1.223     brouard  8378:          }else{
                   8379:            i=i-ncovmodel;
                   8380:            if(ng !=1 ) /* For logit formula of log p11 is more difficult to get */
                   8381:              fprintf(ficgp," (1.");
                   8382:          }
1.227     brouard  8383:          
1.223     brouard  8384:          if(ng != 1){
                   8385:            fprintf(ficgp,")/(1");
1.227     brouard  8386:            
1.264     brouard  8387:            for(cpt=1; cpt <=nlstate; cpt++){ 
1.223     brouard  8388:              if(nagesqr==0)
1.264     brouard  8389:                fprintf(ficgp,"+exp(p%d+p%d*x",k3+(cpt-1)*ncovmodel,k3+(cpt-1)*ncovmodel+1);
1.223     brouard  8390:              else /* nagesqr =1 */
1.264     brouard  8391:                fprintf(ficgp,"+exp(p%d+p%d*x+p%d*x*x",k3+(cpt-1)*ncovmodel,k3+(cpt-1)*ncovmodel+1,k3+(cpt-1)*ncovmodel+1+nagesqr);
1.217     brouard  8392:               
1.223     brouard  8393:              ij=1;
                   8394:              for(j=3; j <=ncovmodel-nagesqr; j++){
1.268     brouard  8395:                 if(cptcovage >0){ 
                   8396:                   if((j-2)==Tage[ij]) { /* Bug valgrind */
                   8397:                     if(ij <=cptcovage) { /* Bug valgrind */
                   8398:                       fprintf(ficgp,"+p%d*%d*x",k3+(cpt-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(k1,j-2)]);
                   8399:                       /* fprintf(ficgp,"+p%d*%d*x",k3+(cpt-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
                   8400:                       ij++;
                   8401:                     }
                   8402:                   }
                   8403:                 }else
                   8404:                   fprintf(ficgp,"+p%d*%d",k3+(cpt-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(k1,j-2)]);/* Valgrind bug nbcode */
1.223     brouard  8405:              }
                   8406:              fprintf(ficgp,")");
                   8407:            }
                   8408:            fprintf(ficgp,")");
                   8409:            if(ng ==2)
1.276     brouard  8410:              fprintf(ficgp," w l lw 2 lt (%d*%d+%d)%%%d+1 dt %d t \"p%d%d\" ", nlstate+ndeath, k2, k, nlstate+ndeath, k2, k2,k);
1.223     brouard  8411:            else /* ng= 3 */
1.276     brouard  8412:              fprintf(ficgp," w l lw 2 lt (%d*%d+%d)%%%d+1 dt %d t \"i%d%d\" ",  nlstate+ndeath, k2, k, nlstate+ndeath, k2, k2,k);
1.223     brouard  8413:          }else{ /* end ng <> 1 */
                   8414:            if( k !=k2) /* logit p11 is hard to draw */
1.276     brouard  8415:              fprintf(ficgp," w l lw 2 lt (%d*%d+%d)%%%d+1 dt %d t \"logit(p%d%d)\" ",  nlstate+ndeath, k2, k, nlstate+ndeath, k2, k2,k);
1.223     brouard  8416:          }
                   8417:          if ((k+k2)!= (nlstate*2+ndeath) && ng != 1)
                   8418:            fprintf(ficgp,",");
                   8419:          if (ng == 1 && k!=k2 && (k+k2)!= (nlstate*2+ndeath))
                   8420:            fprintf(ficgp,",");
                   8421:          i=i+ncovmodel;
                   8422:        } /* end k */
                   8423:       } /* end k2 */
1.276     brouard  8424:       /* fprintf(ficgp,"\n set out; unset label;set key default;\n"); */
                   8425:       fprintf(ficgp,"\n set out; unset title;set key default;\n");
1.264     brouard  8426:     } /* end k1 */
1.223     brouard  8427:   } /* end ng */
                   8428:   /* avoid: */
                   8429:   fflush(ficgp); 
1.126     brouard  8430: }  /* end gnuplot */
                   8431: 
                   8432: 
                   8433: /*************** Moving average **************/
1.219     brouard  8434: /* int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav, double bageout, double fageout){ */
1.222     brouard  8435:  int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav){
1.218     brouard  8436:    
1.222     brouard  8437:    int i, cpt, cptcod;
                   8438:    int modcovmax =1;
                   8439:    int mobilavrange, mob;
                   8440:    int iage=0;
1.288     brouard  8441:    int firstA1=0, firstA2=0;
1.222     brouard  8442: 
1.266     brouard  8443:    double sum=0., sumr=0.;
1.222     brouard  8444:    double age;
1.266     brouard  8445:    double *sumnewp, *sumnewm, *sumnewmr;
                   8446:    double *agemingood, *agemaxgood; 
                   8447:    double *agemingoodr, *agemaxgoodr; 
1.222     brouard  8448:   
                   8449:   
1.278     brouard  8450:    /* modcovmax=2*cptcoveff;  Max number of modalities. We suppose  */
                   8451:    /*             a covariate has 2 modalities, should be equal to ncovcombmax   */
1.222     brouard  8452: 
                   8453:    sumnewp = vector(1,ncovcombmax);
                   8454:    sumnewm = vector(1,ncovcombmax);
1.266     brouard  8455:    sumnewmr = vector(1,ncovcombmax);
1.222     brouard  8456:    agemingood = vector(1,ncovcombmax); 
1.266     brouard  8457:    agemingoodr = vector(1,ncovcombmax);        
1.222     brouard  8458:    agemaxgood = vector(1,ncovcombmax);
1.266     brouard  8459:    agemaxgoodr = vector(1,ncovcombmax);
1.222     brouard  8460: 
                   8461:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
1.266     brouard  8462:      sumnewm[cptcod]=0.; sumnewmr[cptcod]=0.;
1.222     brouard  8463:      sumnewp[cptcod]=0.;
1.266     brouard  8464:      agemingood[cptcod]=0, agemingoodr[cptcod]=0;
                   8465:      agemaxgood[cptcod]=0, agemaxgoodr[cptcod]=0;
1.222     brouard  8466:    }
                   8467:    if (cptcovn<1) ncovcombmax=1; /* At least 1 pass */
                   8468:   
1.266     brouard  8469:    if(mobilav==-1 || mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   8470:      if(mobilav==1 || mobilav==-1) mobilavrange=5; /* default */
1.222     brouard  8471:      else mobilavrange=mobilav;
                   8472:      for (age=bage; age<=fage; age++)
                   8473:        for (i=1; i<=nlstate;i++)
                   8474:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++)
                   8475:           mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8476:      /* We keep the original values on the extreme ages bage, fage and for 
                   8477:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   8478:        we use a 5 terms etc. until the borders are no more concerned. 
                   8479:      */ 
                   8480:      for (mob=3;mob <=mobilavrange;mob=mob+2){
                   8481:        for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
1.266     brouard  8482:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   8483:           sumnewm[cptcod]=0.;
                   8484:           for (i=1; i<=nlstate;i++){
1.222     brouard  8485:             mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                   8486:             for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   8487:               mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   8488:               mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                   8489:             }
                   8490:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
1.266     brouard  8491:             sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8492:           } /* end i */
                   8493:           if(sumnewm[cptcod] >1.e-3) mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/sumnewm[cptcod]; /* Rescaling to sum one */
                   8494:         } /* end cptcod */
1.222     brouard  8495:        }/* end age */
                   8496:      }/* end mob */
1.266     brouard  8497:    }else{
                   8498:      printf("Error internal in movingaverage, mobilav=%d.\n",mobilav);
1.222     brouard  8499:      return -1;
1.266     brouard  8500:    }
                   8501: 
                   8502:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){ /* for each combination */
1.222     brouard  8503:      /* for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ */
                   8504:      if(invalidvarcomb[cptcod]){
                   8505:        printf("\nCombination (%d) ignored because no cases \n",cptcod); 
                   8506:        continue;
                   8507:      }
1.219     brouard  8508: 
1.266     brouard  8509:      for (age=fage-(mob-1)/2; age>=bage+(mob-1)/2; age--){ /*looking for the youngest and oldest good age */
                   8510:        sumnewm[cptcod]=0.;
                   8511:        sumnewmr[cptcod]=0.;
                   8512:        for (i=1; i<=nlstate;i++){
                   8513:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8514:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8515:        }
                   8516:        if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8517:         agemingoodr[cptcod]=age;
                   8518:        }
                   8519:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8520:           agemingood[cptcod]=age;
                   8521:        }
                   8522:      } /* age */
                   8523:      for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ /*looking for the youngest and oldest good age */
1.222     brouard  8524:        sumnewm[cptcod]=0.;
1.266     brouard  8525:        sumnewmr[cptcod]=0.;
1.222     brouard  8526:        for (i=1; i<=nlstate;i++){
                   8527:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
1.266     brouard  8528:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8529:        }
                   8530:        if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8531:         agemaxgoodr[cptcod]=age;
1.222     brouard  8532:        }
                   8533:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
1.266     brouard  8534:         agemaxgood[cptcod]=age;
                   8535:        }
                   8536:      } /* age */
                   8537:      /* Thus we have agemingood and agemaxgood as well as goodr for raw (preobs) */
                   8538:      /* but they will change */
1.288     brouard  8539:      firstA1=0;firstA2=0;
1.266     brouard  8540:      for (age=fage-(mob-1)/2; age>=bage; age--){/* From oldest to youngest, filling up to the youngest */
                   8541:        sumnewm[cptcod]=0.;
                   8542:        sumnewmr[cptcod]=0.;
                   8543:        for (i=1; i<=nlstate;i++){
                   8544:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8545:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8546:        }
                   8547:        if(mobilav==-1){ /* Forcing raw ages if good else agemingood */
                   8548:         if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8549:           agemaxgoodr[cptcod]=age;  /* age min */
                   8550:           for (i=1; i<=nlstate;i++)
                   8551:             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8552:         }else{ /* bad we change the value with the values of good ages */
                   8553:           for (i=1; i<=nlstate;i++){
                   8554:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgoodr[cptcod]][i][cptcod];
                   8555:           } /* i */
                   8556:         } /* end bad */
                   8557:        }else{
                   8558:         if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8559:           agemaxgood[cptcod]=age;
                   8560:         }else{ /* bad we change the value with the values of good ages */
                   8561:           for (i=1; i<=nlstate;i++){
                   8562:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   8563:           } /* i */
                   8564:         } /* end bad */
                   8565:        }/* end else */
                   8566:        sum=0.;sumr=0.;
                   8567:        for (i=1; i<=nlstate;i++){
                   8568:         sum+=mobaverage[(int)age][i][cptcod];
                   8569:         sumr+=probs[(int)age][i][cptcod];
                   8570:        }
                   8571:        if(fabs(sum - 1.) > 1.e-3) { /* bad */
1.288     brouard  8572:         if(!firstA1){
                   8573:           firstA1=1;
                   8574:           printf("Moving average A1: For this combination of covariate cptcod=%d, we can't get a smoothed prevalence which sums to one (%f) at any descending age! age=%d, could you increase bage=%d. Others in log file...\n",cptcod,sumr, (int)age, (int)bage);
                   8575:         }
                   8576:         fprintf(ficlog,"Moving average A1: For this combination of covariate cptcod=%d, we can't get a smoothed prevalence which sums to one (%f) at any descending age! age=%d, could you increase bage=%d\n",cptcod,sumr, (int)age, (int)bage);
1.266     brouard  8577:        } /* end bad */
                   8578:        /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   8579:        if(fabs(sumr - 1.) > 1.e-3) { /* bad */
1.288     brouard  8580:         if(!firstA2){
                   8581:           firstA2=1;
                   8582:           printf("Moving average A2: For this combination of covariate cptcod=%d, the raw prevalence doesn't sums to one (%f) even with smoothed values at young ages! age=%d, could you increase bage=%d. Others in log file...\n",cptcod,sumr, (int)age, (int)bage);
                   8583:         }
                   8584:         fprintf(ficlog,"Moving average A2: For this combination of covariate cptcod=%d, the raw prevalence doesn't sums to one (%f) even with smoothed values at young ages! age=%d, could you increase bage=%d\n",cptcod,sumr, (int)age, (int)bage);
1.222     brouard  8585:        } /* end bad */
                   8586:      }/* age */
1.266     brouard  8587: 
                   8588:      for (age=bage+(mob-1)/2; age<=fage; age++){/* From youngest, finding the oldest wrong */
1.222     brouard  8589:        sumnewm[cptcod]=0.;
1.266     brouard  8590:        sumnewmr[cptcod]=0.;
1.222     brouard  8591:        for (i=1; i<=nlstate;i++){
                   8592:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
1.266     brouard  8593:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8594:        } 
                   8595:        if(mobilav==-1){ /* Forcing raw ages if good else agemingood */
                   8596:         if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good */
                   8597:           agemingoodr[cptcod]=age;
                   8598:           for (i=1; i<=nlstate;i++)
                   8599:             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8600:         }else{ /* bad we change the value with the values of good ages */
                   8601:           for (i=1; i<=nlstate;i++){
                   8602:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingoodr[cptcod]][i][cptcod];
                   8603:           } /* i */
                   8604:         } /* end bad */
                   8605:        }else{
                   8606:         if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8607:           agemingood[cptcod]=age;
                   8608:         }else{ /* bad */
                   8609:           for (i=1; i<=nlstate;i++){
                   8610:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   8611:           } /* i */
                   8612:         } /* end bad */
                   8613:        }/* end else */
                   8614:        sum=0.;sumr=0.;
                   8615:        for (i=1; i<=nlstate;i++){
                   8616:         sum+=mobaverage[(int)age][i][cptcod];
                   8617:         sumr+=mobaverage[(int)age][i][cptcod];
1.222     brouard  8618:        }
1.266     brouard  8619:        if(fabs(sum - 1.) > 1.e-3) { /* bad */
1.268     brouard  8620:         printf("Moving average B1: For this combination of covariate cptcod=%d, we can't get a smoothed prevalence which sums to one (%f) at any descending age! age=%d, could you decrease fage=%d?\n",cptcod, sum, (int) age, (int)fage);
1.266     brouard  8621:        } /* end bad */
                   8622:        /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   8623:        if(fabs(sumr - 1.) > 1.e-3) { /* bad */
1.268     brouard  8624:         printf("Moving average B2: For this combination of covariate cptcod=%d, the raw prevalence doesn't sums to one (%f) even with smoothed values at young ages! age=%d, could you increase fage=%d\n",cptcod,sumr, (int)age, (int)fage);
1.222     brouard  8625:        } /* end bad */
                   8626:      }/* age */
1.266     brouard  8627: 
1.222     brouard  8628:                
                   8629:      for (age=bage; age<=fage; age++){
1.235     brouard  8630:        /* printf("%d %d ", cptcod, (int)age); */
1.222     brouard  8631:        sumnewp[cptcod]=0.;
                   8632:        sumnewm[cptcod]=0.;
                   8633:        for (i=1; i<=nlstate;i++){
                   8634:         sumnewp[cptcod]+=probs[(int)age][i][cptcod];
                   8635:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8636:         /* printf("%.4f %.4f ",probs[(int)age][i][cptcod], mobaverage[(int)age][i][cptcod]); */
                   8637:        }
                   8638:        /* printf("%.4f %.4f \n",sumnewp[cptcod], sumnewm[cptcod]); */
                   8639:      }
                   8640:      /* printf("\n"); */
                   8641:      /* } */
1.266     brouard  8642: 
1.222     brouard  8643:      /* brutal averaging */
1.266     brouard  8644:      /* for (i=1; i<=nlstate;i++){ */
                   8645:      /*   for (age=1; age<=bage; age++){ */
                   8646:      /*         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
                   8647:      /*         /\* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); *\/ */
                   8648:      /*   }     */
                   8649:      /*   for (age=fage; age<=AGESUP; age++){ */
                   8650:      /*         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod]; */
                   8651:      /*         /\* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); *\/ */
                   8652:      /*   } */
                   8653:      /* } /\* end i status *\/ */
                   8654:      /* for (i=nlstate+1; i<=nlstate+ndeath;i++){ */
                   8655:      /*   for (age=1; age<=AGESUP; age++){ */
                   8656:      /*         /\*printf("i=%d, age=%d, cptcod=%d\n",i, (int)age, cptcod);*\/ */
                   8657:      /*         mobaverage[(int)age][i][cptcod]=0.; */
                   8658:      /*   } */
                   8659:      /* } */
1.222     brouard  8660:    }/* end cptcod */
1.266     brouard  8661:    free_vector(agemaxgoodr,1, ncovcombmax);
                   8662:    free_vector(agemaxgood,1, ncovcombmax);
                   8663:    free_vector(agemingood,1, ncovcombmax);
                   8664:    free_vector(agemingoodr,1, ncovcombmax);
                   8665:    free_vector(sumnewmr,1, ncovcombmax);
1.222     brouard  8666:    free_vector(sumnewm,1, ncovcombmax);
                   8667:    free_vector(sumnewp,1, ncovcombmax);
                   8668:    return 0;
                   8669:  }/* End movingaverage */
1.218     brouard  8670:  
1.126     brouard  8671: 
1.296     brouard  8672:  
1.126     brouard  8673: /************** Forecasting ******************/
1.296     brouard  8674: /* void prevforecast(char fileres[], double dateintmean, double anprojd, double mprojd, double jprojd, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double ***prev, double bage, double fage, int firstpass, int lastpass, double anprojf, double p[], int cptcoveff)*/
                   8675: void prevforecast(char fileres[], double dateintmean, double dateprojd, double dateprojf, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double ***prev, double bage, double fage, int firstpass, int lastpass, double p[], int cptcoveff){
                   8676:   /* dateintemean, mean date of interviews
                   8677:      dateprojd, year, month, day of starting projection 
                   8678:      dateprojf date of end of projection;year of end of projection (same day and month as proj1).
1.126     brouard  8679:      agemin, agemax range of age
                   8680:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   8681:   */
1.296     brouard  8682:   /* double anprojd, mprojd, jprojd; */
                   8683:   /* double anprojf, mprojf, jprojf; */
1.267     brouard  8684:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
1.126     brouard  8685:   double agec; /* generic age */
1.296     brouard  8686:   double agelim, ppij, yp,yp1,yp2;
1.126     brouard  8687:   double *popeffectif,*popcount;
                   8688:   double ***p3mat;
1.218     brouard  8689:   /* double ***mobaverage; */
1.126     brouard  8690:   char fileresf[FILENAMELENGTH];
                   8691: 
                   8692:   agelim=AGESUP;
1.211     brouard  8693:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   8694:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   8695:      We still use firstpass and lastpass as another selection.
                   8696:   */
1.214     brouard  8697:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   8698:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
1.126     brouard  8699:  
1.201     brouard  8700:   strcpy(fileresf,"F_"); 
                   8701:   strcat(fileresf,fileresu);
1.126     brouard  8702:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   8703:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   8704:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   8705:   }
1.235     brouard  8706:   printf("\nComputing forecasting: result on file '%s', please wait... \n", fileresf);
                   8707:   fprintf(ficlog,"\nComputing forecasting: result on file '%s', please wait... \n", fileresf);
1.126     brouard  8708: 
1.225     brouard  8709:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
1.126     brouard  8710: 
                   8711: 
                   8712:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8713:   if (stepm<=12) stepsize=1;
                   8714:   if(estepm < stepm){
                   8715:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   8716:   }
1.270     brouard  8717:   else{
                   8718:     hstepm=estepm;   
                   8719:   }
                   8720:   if(estepm > stepm){ /* Yes every two year */
                   8721:     stepsize=2;
                   8722:   }
1.296     brouard  8723:   hstepm=hstepm/stepm;
1.126     brouard  8724: 
1.296     brouard  8725:   
                   8726:   /* yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
                   8727:   /*                              fractional in yp1 *\/ */
                   8728:   /* aintmean=yp; */
                   8729:   /* yp2=modf((yp1*12),&yp); */
                   8730:   /* mintmean=yp; */
                   8731:   /* yp1=modf((yp2*30.5),&yp); */
                   8732:   /* jintmean=yp; */
                   8733:   /* if(jintmean==0) jintmean=1; */
                   8734:   /* if(mintmean==0) mintmean=1; */
1.126     brouard  8735: 
1.296     brouard  8736: 
                   8737:   /* date2dmy(dateintmean,&jintmean,&mintmean,&aintmean); */
                   8738:   /* date2dmy(dateprojd,&jprojd, &mprojd, &anprojd); */
                   8739:   /* date2dmy(dateprojf,&jprojf, &mprojf, &anprojf); */
1.227     brouard  8740:   i1=pow(2,cptcoveff);
1.126     brouard  8741:   if (cptcovn < 1){i1=1;}
                   8742:   
1.296     brouard  8743:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2); 
1.126     brouard  8744:   
                   8745:   fprintf(ficresf,"#****** Routine prevforecast **\n");
1.227     brouard  8746:   
1.126     brouard  8747: /*           if (h==(int)(YEARM*yearp)){ */
1.235     brouard  8748:   for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8749:   for(k=1; k<=i1;k++){
1.253     brouard  8750:     if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  8751:       continue;
1.227     brouard  8752:     if(invalidvarcomb[k]){
                   8753:       printf("\nCombination (%d) projection ignored because no cases \n",k); 
                   8754:       continue;
                   8755:     }
                   8756:     fprintf(ficresf,"\n#****** hpijx=probability over h years, hp.jx is weighted by observed prev \n#");
                   8757:     for(j=1;j<=cptcoveff;j++) {
                   8758:       fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8759:     }
1.235     brouard  8760:     for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.238     brouard  8761:       fprintf(ficresf," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.235     brouard  8762:     }
1.227     brouard  8763:     fprintf(ficresf," yearproj age");
                   8764:     for(j=1; j<=nlstate+ndeath;j++){ 
                   8765:       for(i=1; i<=nlstate;i++)               
                   8766:        fprintf(ficresf," p%d%d",i,j);
                   8767:       fprintf(ficresf," wp.%d",j);
                   8768:     }
1.296     brouard  8769:     for (yearp=0; yearp<=(anprojf-anprojd);yearp +=stepsize) {
1.227     brouard  8770:       fprintf(ficresf,"\n");
1.296     brouard  8771:       fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jprojd,mprojd,anprojd+yearp);   
1.270     brouard  8772:       /* for (agec=fage; agec>=(ageminpar-1); agec--){  */
                   8773:       for (agec=fage; agec>=(bage); agec--){ 
1.227     brouard  8774:        nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   8775:        nhstepm = nhstepm/hstepm; 
                   8776:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8777:        oldm=oldms;savm=savms;
1.268     brouard  8778:        /* We compute pii at age agec over nhstepm);*/
1.235     brouard  8779:        hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k,nres);
1.268     brouard  8780:        /* Then we print p3mat for h corresponding to the right agec+h*stepms=yearp */
1.227     brouard  8781:        for (h=0; h<=nhstepm; h++){
                   8782:          if (h*hstepm/YEARM*stepm ==yearp) {
1.268     brouard  8783:            break;
                   8784:          }
                   8785:        }
                   8786:        fprintf(ficresf,"\n");
                   8787:        for(j=1;j<=cptcoveff;j++) 
                   8788:          fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.296     brouard  8789:        fprintf(ficresf,"%.f %.f ",anprojd+yearp,agec+h*hstepm/YEARM*stepm);
1.268     brouard  8790:        
                   8791:        for(j=1; j<=nlstate+ndeath;j++) {
                   8792:          ppij=0.;
                   8793:          for(i=1; i<=nlstate;i++) {
1.278     brouard  8794:            if (mobilav>=1)
                   8795:             ppij=ppij+p3mat[i][j][h]*prev[(int)agec][i][k];
                   8796:            else { /* even if mobilav==-1 we use mobaverage, probs may not sums to 1 */
                   8797:                ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k];
                   8798:            }
1.268     brouard  8799:            fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   8800:          } /* end i */
                   8801:          fprintf(ficresf," %.3f", ppij);
                   8802:        }/* end j */
1.227     brouard  8803:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8804:       } /* end agec */
1.266     brouard  8805:       /* diffyear=(int) anproj1+yearp-ageminpar-1; */
                   8806:       /*printf("Prevforecast %d+%d-%d=diffyear=%d\n",(int) anproj1, (int)yearp,(int)ageminpar,(int) anproj1-(int)ageminpar);*/
1.227     brouard  8807:     } /* end yearp */
                   8808:   } /* end  k */
1.219     brouard  8809:        
1.126     brouard  8810:   fclose(ficresf);
1.215     brouard  8811:   printf("End of Computing forecasting \n");
                   8812:   fprintf(ficlog,"End of Computing forecasting\n");
                   8813: 
1.126     brouard  8814: }
                   8815: 
1.269     brouard  8816: /************** Back Forecasting ******************/
1.296     brouard  8817:  /* void prevbackforecast(char fileres[], double ***prevacurrent, double anback1, double mback1, double jback1, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double anback2, double p[], int cptcoveff){ */
                   8818:  void prevbackforecast(char fileres[], double ***prevacurrent, double dateintmean, double dateprojd, double dateprojf, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double p[], int cptcoveff){
                   8819:   /* back1, year, month, day of starting backprojection
1.267     brouard  8820:      agemin, agemax range of age
                   8821:      dateprev1 dateprev2 range of dates during which prevalence is computed
1.269     brouard  8822:      anback2 year of end of backprojection (same day and month as back1).
                   8823:      prevacurrent and prev are prevalences.
1.267     brouard  8824:   */
                   8825:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
                   8826:   double agec; /* generic age */
1.302     brouard  8827:   double agelim, ppij, ppi, yp,yp1,yp2; /* ,jintmean,mintmean,aintmean;*/
1.267     brouard  8828:   double *popeffectif,*popcount;
                   8829:   double ***p3mat;
                   8830:   /* double ***mobaverage; */
                   8831:   char fileresfb[FILENAMELENGTH];
                   8832:  
1.268     brouard  8833:   agelim=AGEINF;
1.267     brouard  8834:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   8835:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   8836:      We still use firstpass and lastpass as another selection.
                   8837:   */
                   8838:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   8839:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
                   8840: 
                   8841:   /*Do we need to compute prevalence again?*/
                   8842: 
                   8843:   /* prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
                   8844:   
                   8845:   strcpy(fileresfb,"FB_");
                   8846:   strcat(fileresfb,fileresu);
                   8847:   if((ficresfb=fopen(fileresfb,"w"))==NULL) {
                   8848:     printf("Problem with back forecast resultfile: %s\n", fileresfb);
                   8849:     fprintf(ficlog,"Problem with back forecast resultfile: %s\n", fileresfb);
                   8850:   }
                   8851:   printf("\nComputing back forecasting: result on file '%s', please wait... \n", fileresfb);
                   8852:   fprintf(ficlog,"\nComputing back forecasting: result on file '%s', please wait... \n", fileresfb);
                   8853:   
                   8854:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   8855:   
                   8856:    
                   8857:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8858:   if (stepm<=12) stepsize=1;
                   8859:   if(estepm < stepm){
                   8860:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   8861:   }
1.270     brouard  8862:   else{
                   8863:     hstepm=estepm;   
                   8864:   }
                   8865:   if(estepm >= stepm){ /* Yes every two year */
                   8866:     stepsize=2;
                   8867:   }
1.267     brouard  8868:   
                   8869:   hstepm=hstepm/stepm;
1.296     brouard  8870:   /* yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
                   8871:   /*                              fractional in yp1 *\/ */
                   8872:   /* aintmean=yp; */
                   8873:   /* yp2=modf((yp1*12),&yp); */
                   8874:   /* mintmean=yp; */
                   8875:   /* yp1=modf((yp2*30.5),&yp); */
                   8876:   /* jintmean=yp; */
                   8877:   /* if(jintmean==0) jintmean=1; */
                   8878:   /* if(mintmean==0) jintmean=1; */
1.267     brouard  8879:   
                   8880:   i1=pow(2,cptcoveff);
                   8881:   if (cptcovn < 1){i1=1;}
                   8882:   
1.296     brouard  8883:   fprintf(ficresfb,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2);
                   8884:   printf("# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2);
1.267     brouard  8885:   
                   8886:   fprintf(ficresfb,"#****** Routine prevbackforecast **\n");
                   8887:   
                   8888:   for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8889:   for(k=1; k<=i1;k++){
                   8890:     if(i1 != 1 && TKresult[nres]!= k)
                   8891:       continue;
                   8892:     if(invalidvarcomb[k]){
                   8893:       printf("\nCombination (%d) projection ignored because no cases \n",k); 
                   8894:       continue;
                   8895:     }
1.268     brouard  8896:     fprintf(ficresfb,"\n#****** hbijx=probability over h years, hb.jx is weighted by observed prev \n#");
1.267     brouard  8897:     for(j=1;j<=cptcoveff;j++) {
                   8898:       fprintf(ficresfb," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8899:     }
                   8900:     for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   8901:       fprintf(ficresf," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   8902:     }
                   8903:     fprintf(ficresfb," yearbproj age");
                   8904:     for(j=1; j<=nlstate+ndeath;j++){
                   8905:       for(i=1; i<=nlstate;i++)
1.268     brouard  8906:        fprintf(ficresfb," b%d%d",i,j);
                   8907:       fprintf(ficresfb," b.%d",j);
1.267     brouard  8908:     }
1.296     brouard  8909:     for (yearp=0; yearp>=(anbackf-anbackd);yearp -=stepsize) {
1.267     brouard  8910:       /* for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {  */
                   8911:       fprintf(ficresfb,"\n");
1.296     brouard  8912:       fprintf(ficresfb,"\n# Back Forecasting at date %.lf/%.lf/%.lf ",jbackd,mbackd,anbackd+yearp);
1.273     brouard  8913:       /* printf("\n# Back Forecasting at date %.lf/%.lf/%.lf ",jback1,mback1,anback1+yearp); */
1.270     brouard  8914:       /* for (agec=bage; agec<=agemax-1; agec++){  /\* testing *\/ */
                   8915:       for (agec=bage; agec<=fage; agec++){  /* testing */
1.268     brouard  8916:        /* We compute bij at age agec over nhstepm, nhstepm decreases when agec increases because of agemax;*/
1.271     brouard  8917:        nhstepm=(int) (agec-agelim) *YEARM/stepm;/*     nhstepm=(int) rint((agec-agelim)*YEARM/stepm);*/
1.267     brouard  8918:        nhstepm = nhstepm/hstepm;
                   8919:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8920:        oldm=oldms;savm=savms;
1.268     brouard  8921:        /* computes hbxij at age agec over 1 to nhstepm */
1.271     brouard  8922:        /* printf("####prevbackforecast debug  agec=%.2f nhstepm=%d\n",agec, nhstepm);fflush(stdout); */
1.267     brouard  8923:        hbxij(p3mat,nhstepm,agec,hstepm,p,prevacurrent,nlstate,stepm, k, nres);
1.268     brouard  8924:        /* hpxij(p3mat,nhstepm,agec,hstepm,p,             nlstate,stepm,oldm,savm, k,nres); */
                   8925:        /* Then we print p3mat for h corresponding to the right agec+h*stepms=yearp */
                   8926:        /* printf(" agec=%.2f\n",agec);fflush(stdout); */
1.267     brouard  8927:        for (h=0; h<=nhstepm; h++){
1.268     brouard  8928:          if (h*hstepm/YEARM*stepm ==-yearp) {
                   8929:            break;
                   8930:          }
                   8931:        }
                   8932:        fprintf(ficresfb,"\n");
                   8933:        for(j=1;j<=cptcoveff;j++)
                   8934:          fprintf(ficresfb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.296     brouard  8935:        fprintf(ficresfb,"%.f %.f ",anbackd+yearp,agec-h*hstepm/YEARM*stepm);
1.268     brouard  8936:        for(i=1; i<=nlstate+ndeath;i++) {
                   8937:          ppij=0.;ppi=0.;
                   8938:          for(j=1; j<=nlstate;j++) {
                   8939:            /* if (mobilav==1) */
1.269     brouard  8940:            ppij=ppij+p3mat[i][j][h]*prevacurrent[(int)agec][j][k];
                   8941:            ppi=ppi+prevacurrent[(int)agec][j][k];
                   8942:            /* ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][j][k]; */
                   8943:            /* ppi=ppi+mobaverage[(int)agec][j][k]; */
1.267     brouard  8944:              /* else { */
                   8945:              /*        ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k]; */
                   8946:              /* } */
1.268     brouard  8947:            fprintf(ficresfb," %.3f", p3mat[i][j][h]);
                   8948:          } /* end j */
                   8949:          if(ppi <0.99){
                   8950:            printf("Error in prevbackforecast, prevalence doesn't sum to 1 for state %d: %3f\n",i, ppi);
                   8951:            fprintf(ficlog,"Error in prevbackforecast, prevalence doesn't sum to 1 for state %d: %3f\n",i, ppi);
                   8952:          }
                   8953:          fprintf(ficresfb," %.3f", ppij);
                   8954:        }/* end j */
1.267     brouard  8955:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8956:       } /* end agec */
                   8957:     } /* end yearp */
                   8958:   } /* end k */
1.217     brouard  8959:   
1.267     brouard  8960:   /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
1.217     brouard  8961:   
1.267     brouard  8962:   fclose(ficresfb);
                   8963:   printf("End of Computing Back forecasting \n");
                   8964:   fprintf(ficlog,"End of Computing Back forecasting\n");
1.218     brouard  8965:        
1.267     brouard  8966: }
1.217     brouard  8967: 
1.269     brouard  8968: /* Variance of prevalence limit: varprlim */
                   8969:  void varprlim(char fileresu[], int nresult, double ***prevacurrent, int mobilavproj, double bage, double fage, double **prlim, int *ncvyearp, double ftolpl, double p[], double **matcov, double *delti, int stepm, int cptcoveff){
1.288     brouard  8970:     /*------- Variance of forward period (stable) prevalence------*/   
1.269     brouard  8971:  
                   8972:    char fileresvpl[FILENAMELENGTH];  
                   8973:    FILE *ficresvpl;
                   8974:    double **oldm, **savm;
                   8975:    double **varpl; /* Variances of prevalence limits by age */   
                   8976:    int i1, k, nres, j ;
                   8977:    
                   8978:     strcpy(fileresvpl,"VPL_");
                   8979:     strcat(fileresvpl,fileresu);
                   8980:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
1.288     brouard  8981:       printf("Problem with variance of forward period (stable) prevalence  resultfile: %s\n", fileresvpl);
1.269     brouard  8982:       exit(0);
                   8983:     }
1.288     brouard  8984:     printf("Computing Variance-covariance of forward period (stable) prevalence: file '%s' ...", fileresvpl);fflush(stdout);
                   8985:     fprintf(ficlog, "Computing Variance-covariance of forward period (stable) prevalence: file '%s' ...", fileresvpl);fflush(ficlog);
1.269     brouard  8986:     
                   8987:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   8988:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   8989:     
                   8990:     i1=pow(2,cptcoveff);
                   8991:     if (cptcovn < 1){i1=1;}
                   8992: 
                   8993:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8994:     for(k=1; k<=i1;k++){
                   8995:       if(i1 != 1 && TKresult[nres]!= k)
                   8996:        continue;
                   8997:       fprintf(ficresvpl,"\n#****** ");
                   8998:       printf("\n#****** ");
                   8999:       fprintf(ficlog,"\n#****** ");
                   9000:       for(j=1;j<=cptcoveff;j++) {
                   9001:        fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   9002:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   9003:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   9004:       }
                   9005:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   9006:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   9007:        fprintf(ficresvpl," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   9008:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   9009:       }        
                   9010:       fprintf(ficresvpl,"******\n");
                   9011:       printf("******\n");
                   9012:       fprintf(ficlog,"******\n");
                   9013:       
                   9014:       varpl=matrix(1,nlstate,(int) bage, (int) fage);
                   9015:       oldm=oldms;savm=savms;
                   9016:       varprevlim(fileresvpl, ficresvpl, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, ncvyearp, k, strstart, nres);
                   9017:       free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
                   9018:       /*}*/
                   9019:     }
                   9020:     
                   9021:     fclose(ficresvpl);
1.288     brouard  9022:     printf("done variance-covariance of forward period prevalence\n");fflush(stdout);
                   9023:     fprintf(ficlog,"done variance-covariance of forward period prevalence\n");fflush(ficlog);
1.269     brouard  9024: 
                   9025:  }
                   9026: /* Variance of back prevalence: varbprlim */
                   9027:  void varbprlim(char fileresu[], int nresult, double ***prevacurrent, int mobilavproj, double bage, double fage, double **bprlim, int *ncvyearp, double ftolpl, double p[], double **matcov, double *delti, int stepm, int cptcoveff){
                   9028:       /*------- Variance of back (stable) prevalence------*/
                   9029: 
                   9030:    char fileresvbl[FILENAMELENGTH];  
                   9031:    FILE  *ficresvbl;
                   9032: 
                   9033:    double **oldm, **savm;
                   9034:    double **varbpl; /* Variances of back prevalence limits by age */   
                   9035:    int i1, k, nres, j ;
                   9036: 
                   9037:    strcpy(fileresvbl,"VBL_");
                   9038:    strcat(fileresvbl,fileresu);
                   9039:    if((ficresvbl=fopen(fileresvbl,"w"))==NULL) {
                   9040:      printf("Problem with variance of back (stable) prevalence  resultfile: %s\n", fileresvbl);
                   9041:      exit(0);
                   9042:    }
                   9043:    printf("Computing Variance-covariance of back (stable) prevalence: file '%s' ...", fileresvbl);fflush(stdout);
                   9044:    fprintf(ficlog, "Computing Variance-covariance of back (stable) prevalence: file '%s' ...", fileresvbl);fflush(ficlog);
                   9045:    
                   9046:    
                   9047:    i1=pow(2,cptcoveff);
                   9048:    if (cptcovn < 1){i1=1;}
                   9049:    
                   9050:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   9051:      for(k=1; k<=i1;k++){
                   9052:        if(i1 != 1 && TKresult[nres]!= k)
                   9053:         continue;
                   9054:        fprintf(ficresvbl,"\n#****** ");
                   9055:        printf("\n#****** ");
                   9056:        fprintf(ficlog,"\n#****** ");
                   9057:        for(j=1;j<=cptcoveff;j++) {
                   9058:         fprintf(ficresvbl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   9059:         fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   9060:         printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   9061:        }
                   9062:        for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   9063:         printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   9064:         fprintf(ficresvbl," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   9065:         fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   9066:        }
                   9067:        fprintf(ficresvbl,"******\n");
                   9068:        printf("******\n");
                   9069:        fprintf(ficlog,"******\n");
                   9070:        
                   9071:        varbpl=matrix(1,nlstate,(int) bage, (int) fage);
                   9072:        oldm=oldms;savm=savms;
                   9073:        
                   9074:        varbrevlim(fileresvbl, ficresvbl, varbpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, bprlim, ftolpl, mobilavproj, ncvyearp, k, strstart, nres);
                   9075:        free_matrix(varbpl,1,nlstate,(int) bage, (int)fage);
                   9076:        /*}*/
                   9077:      }
                   9078:    
                   9079:    fclose(ficresvbl);
                   9080:    printf("done variance-covariance of back prevalence\n");fflush(stdout);
                   9081:    fprintf(ficlog,"done variance-covariance of back prevalence\n");fflush(ficlog);
                   9082: 
                   9083:  } /* End of varbprlim */
                   9084: 
1.126     brouard  9085: /************** Forecasting *****not tested NB*************/
1.227     brouard  9086: /* void populforecast(char fileres[], double anpyram,double mpyram,double jpyram,double ageminpar, double agemax,double dateprev1, double dateprev2s, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anpyram1,double p[], int i2){ */
1.126     brouard  9087:   
1.227     brouard  9088: /*   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h; */
                   9089: /*   int *popage; */
                   9090: /*   double calagedatem, agelim, kk1, kk2; */
                   9091: /*   double *popeffectif,*popcount; */
                   9092: /*   double ***p3mat,***tabpop,***tabpopprev; */
                   9093: /*   /\* double ***mobaverage; *\/ */
                   9094: /*   char filerespop[FILENAMELENGTH]; */
1.126     brouard  9095: 
1.227     brouard  9096: /*   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   9097: /*   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   9098: /*   agelim=AGESUP; */
                   9099: /*   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM; */
1.126     brouard  9100:   
1.227     brouard  9101: /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
1.126     brouard  9102:   
                   9103:   
1.227     brouard  9104: /*   strcpy(filerespop,"POP_");  */
                   9105: /*   strcat(filerespop,fileresu); */
                   9106: /*   if((ficrespop=fopen(filerespop,"w"))==NULL) { */
                   9107: /*     printf("Problem with forecast resultfile: %s\n", filerespop); */
                   9108: /*     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop); */
                   9109: /*   } */
                   9110: /*   printf("Computing forecasting: result on file '%s' \n", filerespop); */
                   9111: /*   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop); */
1.126     brouard  9112: 
1.227     brouard  9113: /*   if (cptcoveff==0) ncodemax[cptcoveff]=1; */
1.126     brouard  9114: 
1.227     brouard  9115: /*   /\* if (mobilav!=0) { *\/ */
                   9116: /*   /\*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   9117: /*   /\*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ *\/ */
                   9118: /*   /\*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   9119: /*   /\*     printf(" Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   9120: /*   /\*   } *\/ */
                   9121: /*   /\* } *\/ */
1.126     brouard  9122: 
1.227     brouard  9123: /*   stepsize=(int) (stepm+YEARM-1)/YEARM; */
                   9124: /*   if (stepm<=12) stepsize=1; */
1.126     brouard  9125:   
1.227     brouard  9126: /*   agelim=AGESUP; */
1.126     brouard  9127:   
1.227     brouard  9128: /*   hstepm=1; */
                   9129: /*   hstepm=hstepm/stepm;  */
1.218     brouard  9130:        
1.227     brouard  9131: /*   if (popforecast==1) { */
                   9132: /*     if((ficpop=fopen(popfile,"r"))==NULL) { */
                   9133: /*       printf("Problem with population file : %s\n",popfile);exit(0); */
                   9134: /*       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0); */
                   9135: /*     }  */
                   9136: /*     popage=ivector(0,AGESUP); */
                   9137: /*     popeffectif=vector(0,AGESUP); */
                   9138: /*     popcount=vector(0,AGESUP); */
1.126     brouard  9139:     
1.227     brouard  9140: /*     i=1;    */
                   9141: /*     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1; */
1.218     brouard  9142:     
1.227     brouard  9143: /*     imx=i; */
                   9144: /*     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i]; */
                   9145: /*   } */
1.218     brouard  9146:   
1.227     brouard  9147: /*   for(cptcov=1,k=0;cptcov<=i2;cptcov++){ */
                   9148: /*     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ */
                   9149: /*       k=k+1; */
                   9150: /*       fprintf(ficrespop,"\n#******"); */
                   9151: /*       for(j=1;j<=cptcoveff;j++) { */
                   9152: /*     fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   9153: /*       } */
                   9154: /*       fprintf(ficrespop,"******\n"); */
                   9155: /*       fprintf(ficrespop,"# Age"); */
                   9156: /*       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j); */
                   9157: /*       if (popforecast==1)  fprintf(ficrespop," [Population]"); */
1.126     brouard  9158:       
1.227     brouard  9159: /*       for (cpt=0; cpt<=0;cpt++) {  */
                   9160: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
1.126     brouard  9161:        
1.227     brouard  9162: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   9163: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   9164: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  9165:          
1.227     brouard  9166: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   9167: /*       oldm=oldms;savm=savms; */
                   9168: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
1.218     brouard  9169:          
1.227     brouard  9170: /*       for (h=0; h<=nhstepm; h++){ */
                   9171: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   9172: /*           fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   9173: /*         }  */
                   9174: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   9175: /*           kk1=0.;kk2=0; */
                   9176: /*           for(i=1; i<=nlstate;i++) {               */
                   9177: /*             if (mobilav==1)  */
                   9178: /*               kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod]; */
                   9179: /*             else { */
                   9180: /*               kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod]; */
                   9181: /*             } */
                   9182: /*           } */
                   9183: /*           if (h==(int)(calagedatem+12*cpt)){ */
                   9184: /*             tabpop[(int)(agedeb)][j][cptcod]=kk1; */
                   9185: /*             /\*fprintf(ficrespop," %.3f", kk1); */
                   9186: /*               if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*\/ */
                   9187: /*           } */
                   9188: /*         } */
                   9189: /*         for(i=1; i<=nlstate;i++){ */
                   9190: /*           kk1=0.; */
                   9191: /*           for(j=1; j<=nlstate;j++){ */
                   9192: /*             kk1= kk1+tabpop[(int)(agedeb)][j][cptcod];  */
                   9193: /*           } */
                   9194: /*           tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)]; */
                   9195: /*         } */
1.218     brouard  9196:            
1.227     brouard  9197: /*         if (h==(int)(calagedatem+12*cpt)) */
                   9198: /*           for(j=1; j<=nlstate;j++)  */
                   9199: /*             fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]); */
                   9200: /*       } */
                   9201: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   9202: /*     } */
                   9203: /*       } */
1.218     brouard  9204:       
1.227     brouard  9205: /*       /\******\/ */
1.218     brouard  9206:       
1.227     brouard  9207: /*       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) {  */
                   9208: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
                   9209: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   9210: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   9211: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  9212:          
1.227     brouard  9213: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   9214: /*       oldm=oldms;savm=savms; */
                   9215: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
                   9216: /*       for (h=0; h<=nhstepm; h++){ */
                   9217: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   9218: /*           fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   9219: /*         }  */
                   9220: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   9221: /*           kk1=0.;kk2=0; */
                   9222: /*           for(i=1; i<=nlstate;i++) {               */
                   9223: /*             kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];     */
                   9224: /*           } */
                   9225: /*           if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);         */
                   9226: /*         } */
                   9227: /*       } */
                   9228: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   9229: /*     } */
                   9230: /*       } */
                   9231: /*     }  */
                   9232: /*   } */
1.218     brouard  9233:   
1.227     brouard  9234: /*   /\* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
1.218     brouard  9235:   
1.227     brouard  9236: /*   if (popforecast==1) { */
                   9237: /*     free_ivector(popage,0,AGESUP); */
                   9238: /*     free_vector(popeffectif,0,AGESUP); */
                   9239: /*     free_vector(popcount,0,AGESUP); */
                   9240: /*   } */
                   9241: /*   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   9242: /*   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   9243: /*   fclose(ficrespop); */
                   9244: /* } /\* End of popforecast *\/ */
1.218     brouard  9245:  
1.126     brouard  9246: int fileappend(FILE *fichier, char *optionfich)
                   9247: {
                   9248:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   9249:     printf("Problem with file: %s\n", optionfich);
                   9250:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   9251:     return (0);
                   9252:   }
                   9253:   fflush(fichier);
                   9254:   return (1);
                   9255: }
                   9256: 
                   9257: 
                   9258: /**************** function prwizard **********************/
                   9259: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   9260: {
                   9261: 
                   9262:   /* Wizard to print covariance matrix template */
                   9263: 
1.164     brouard  9264:   char ca[32], cb[32];
                   9265:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  9266:   int numlinepar;
                   9267: 
                   9268:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9269:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9270:   for(i=1; i <=nlstate; i++){
                   9271:     jj=0;
                   9272:     for(j=1; j <=nlstate+ndeath; j++){
                   9273:       if(j==i) continue;
                   9274:       jj++;
                   9275:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   9276:       printf("%1d%1d",i,j);
                   9277:       fprintf(ficparo,"%1d%1d",i,j);
                   9278:       for(k=1; k<=ncovmodel;k++){
                   9279:        /*        printf(" %lf",param[i][j][k]); */
                   9280:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   9281:        printf(" 0.");
                   9282:        fprintf(ficparo," 0.");
                   9283:       }
                   9284:       printf("\n");
                   9285:       fprintf(ficparo,"\n");
                   9286:     }
                   9287:   }
                   9288:   printf("# Scales (for hessian or gradient estimation)\n");
                   9289:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   9290:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   9291:   for(i=1; i <=nlstate; i++){
                   9292:     jj=0;
                   9293:     for(j=1; j <=nlstate+ndeath; j++){
                   9294:       if(j==i) continue;
                   9295:       jj++;
                   9296:       fprintf(ficparo,"%1d%1d",i,j);
                   9297:       printf("%1d%1d",i,j);
                   9298:       fflush(stdout);
                   9299:       for(k=1; k<=ncovmodel;k++){
                   9300:        /*      printf(" %le",delti3[i][j][k]); */
                   9301:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   9302:        printf(" 0.");
                   9303:        fprintf(ficparo," 0.");
                   9304:       }
                   9305:       numlinepar++;
                   9306:       printf("\n");
                   9307:       fprintf(ficparo,"\n");
                   9308:     }
                   9309:   }
                   9310:   printf("# Covariance matrix\n");
                   9311: /* # 121 Var(a12)\n\ */
                   9312: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   9313: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   9314: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   9315: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   9316: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   9317: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   9318: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   9319:   fflush(stdout);
                   9320:   fprintf(ficparo,"# Covariance matrix\n");
                   9321:   /* # 121 Var(a12)\n\ */
                   9322:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   9323:   /* #   ...\n\ */
                   9324:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   9325:   
                   9326:   for(itimes=1;itimes<=2;itimes++){
                   9327:     jj=0;
                   9328:     for(i=1; i <=nlstate; i++){
                   9329:       for(j=1; j <=nlstate+ndeath; j++){
                   9330:        if(j==i) continue;
                   9331:        for(k=1; k<=ncovmodel;k++){
                   9332:          jj++;
                   9333:          ca[0]= k+'a'-1;ca[1]='\0';
                   9334:          if(itimes==1){
                   9335:            printf("#%1d%1d%d",i,j,k);
                   9336:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   9337:          }else{
                   9338:            printf("%1d%1d%d",i,j,k);
                   9339:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   9340:            /*  printf(" %.5le",matcov[i][j]); */
                   9341:          }
                   9342:          ll=0;
                   9343:          for(li=1;li <=nlstate; li++){
                   9344:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   9345:              if(lj==li) continue;
                   9346:              for(lk=1;lk<=ncovmodel;lk++){
                   9347:                ll++;
                   9348:                if(ll<=jj){
                   9349:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   9350:                  if(ll<jj){
                   9351:                    if(itimes==1){
                   9352:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   9353:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   9354:                    }else{
                   9355:                      printf(" 0.");
                   9356:                      fprintf(ficparo," 0.");
                   9357:                    }
                   9358:                  }else{
                   9359:                    if(itimes==1){
                   9360:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   9361:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   9362:                    }else{
                   9363:                      printf(" 0.");
                   9364:                      fprintf(ficparo," 0.");
                   9365:                    }
                   9366:                  }
                   9367:                }
                   9368:              } /* end lk */
                   9369:            } /* end lj */
                   9370:          } /* end li */
                   9371:          printf("\n");
                   9372:          fprintf(ficparo,"\n");
                   9373:          numlinepar++;
                   9374:        } /* end k*/
                   9375:       } /*end j */
                   9376:     } /* end i */
                   9377:   } /* end itimes */
                   9378: 
                   9379: } /* end of prwizard */
                   9380: /******************* Gompertz Likelihood ******************************/
                   9381: double gompertz(double x[])
                   9382: { 
1.302     brouard  9383:   double A=0.0,B=0.,L=0.0,sump=0.,num=0.;
1.126     brouard  9384:   int i,n=0; /* n is the size of the sample */
                   9385: 
1.220     brouard  9386:   for (i=1;i<=imx ; i++) {
1.126     brouard  9387:     sump=sump+weight[i];
                   9388:     /*    sump=sump+1;*/
                   9389:     num=num+1;
                   9390:   }
1.302     brouard  9391:   L=0.0;
                   9392:   /* agegomp=AGEGOMP; */
1.126     brouard  9393:   /* for (i=0; i<=imx; i++) 
                   9394:      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]);*/
                   9395: 
1.302     brouard  9396:   for (i=1;i<=imx ; i++) {
                   9397:     /* mu(a)=mu(agecomp)*exp(teta*(age-agegomp))
                   9398:        mu(a)=x[1]*exp(x[2]*(age-agegomp)); x[1] and x[2] are per year.
                   9399:      * L= Product mu(agedeces)exp(-\int_ageexam^agedc mu(u) du ) for a death between agedc (in month) 
                   9400:      *   and agedc +1 month, cens[i]=0: log(x[1]/YEARM)
                   9401:      * +
                   9402:      * exp(-\int_ageexam^agecens mu(u) du ) when censored, cens[i]=1
                   9403:      */
                   9404:      if (wav[i] > 1 || agedc[i] < AGESUP) {
                   9405:        if (cens[i] == 1){
                   9406:         A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   9407:        } else if (cens[i] == 0){
1.126     brouard  9408:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
1.302     brouard  9409:          +log(x[1]/YEARM) +x[2]*(agedc[i]-agegomp)+log(YEARM);
                   9410:       } else
                   9411:         printf("Gompertz cens[%d] neither 1 nor 0\n",i);
1.126     brouard  9412:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
1.302     brouard  9413:        L=L+A*weight[i];
1.126     brouard  9414:        /*      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]);*/
1.302     brouard  9415:      }
                   9416:   }
1.126     brouard  9417: 
1.302     brouard  9418:   /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
1.126     brouard  9419:  
                   9420:   return -2*L*num/sump;
                   9421: }
                   9422: 
1.136     brouard  9423: #ifdef GSL
                   9424: /******************* Gompertz_f Likelihood ******************************/
                   9425: double gompertz_f(const gsl_vector *v, void *params)
                   9426: { 
1.302     brouard  9427:   double A=0.,B=0.,LL=0.0,sump=0.,num=0.;
1.136     brouard  9428:   double *x= (double *) v->data;
                   9429:   int i,n=0; /* n is the size of the sample */
                   9430: 
                   9431:   for (i=0;i<=imx-1 ; i++) {
                   9432:     sump=sump+weight[i];
                   9433:     /*    sump=sump+1;*/
                   9434:     num=num+1;
                   9435:   }
                   9436:  
                   9437:  
                   9438:   /* for (i=0; i<=imx; i++) 
                   9439:      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]);*/
                   9440:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   9441:   for (i=1;i<=imx ; i++)
                   9442:     {
                   9443:       if (cens[i] == 1 && wav[i]>1)
                   9444:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   9445:       
                   9446:       if (cens[i] == 0 && wav[i]>1)
                   9447:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   9448:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   9449:       
                   9450:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   9451:       if (wav[i] > 1 ) { /* ??? */
                   9452:        LL=LL+A*weight[i];
                   9453:        /*      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]);*/
                   9454:       }
                   9455:     }
                   9456: 
                   9457:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   9458:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   9459:  
                   9460:   return -2*LL*num/sump;
                   9461: }
                   9462: #endif
                   9463: 
1.126     brouard  9464: /******************* Printing html file ***********/
1.201     brouard  9465: void printinghtmlmort(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  9466:                  int lastpass, int stepm, int weightopt, char model[],\
                   9467:                  int imx,  double p[],double **matcov,double agemortsup){
                   9468:   int i,k;
                   9469: 
                   9470:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   9471:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   9472:   for (i=1;i<=2;i++) 
                   9473:     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  9474:   fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
1.126     brouard  9475:   fprintf(fichtm,"</ul>");
                   9476: 
                   9477: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   9478: 
                   9479:  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>");
                   9480: 
                   9481:  for (k=agegomp;k<(agemortsup-2);k++) 
                   9482:    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]);
                   9483: 
                   9484:  
                   9485:   fflush(fichtm);
                   9486: }
                   9487: 
                   9488: /******************* Gnuplot file **************/
1.201     brouard  9489: void printinggnuplotmort(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
1.126     brouard  9490: 
                   9491:   char dirfileres[132],optfileres[132];
1.164     brouard  9492: 
1.126     brouard  9493:   int ng;
                   9494: 
                   9495: 
                   9496:   /*#ifdef windows */
                   9497:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   9498:     /*#endif */
                   9499: 
                   9500: 
                   9501:   strcpy(dirfileres,optionfilefiname);
                   9502:   strcpy(optfileres,"vpl");
1.199     brouard  9503:   fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
1.126     brouard  9504:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.199     brouard  9505:   fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
1.145     brouard  9506:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  9507:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   9508: 
                   9509: } 
                   9510: 
1.136     brouard  9511: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   9512: {
1.126     brouard  9513: 
1.136     brouard  9514:   /*-------- data file ----------*/
                   9515:   FILE *fic;
                   9516:   char dummy[]="                         ";
1.240     brouard  9517:   int i=0, j=0, n=0, iv=0, v;
1.223     brouard  9518:   int lstra;
1.136     brouard  9519:   int linei, month, year,iout;
1.302     brouard  9520:   int noffset=0; /* This is the offset if BOM data file */
1.136     brouard  9521:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  9522:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  9523:   char *stratrunc;
1.223     brouard  9524: 
1.240     brouard  9525:   DummyV=ivector(1,NCOVMAX); /* 1 to 3 */
                   9526:   FixedV=ivector(1,NCOVMAX); /* 1 to 3 */
1.126     brouard  9527: 
1.240     brouard  9528:   for(v=1; v <=ncovcol;v++){
                   9529:     DummyV[v]=0;
                   9530:     FixedV[v]=0;
                   9531:   }
                   9532:   for(v=ncovcol+1; v <=ncovcol+nqv;v++){
                   9533:     DummyV[v]=1;
                   9534:     FixedV[v]=0;
                   9535:   }
                   9536:   for(v=ncovcol+nqv+1; v <=ncovcol+nqv+ntv;v++){
                   9537:     DummyV[v]=0;
                   9538:     FixedV[v]=1;
                   9539:   }
                   9540:   for(v=ncovcol+nqv+ntv+1; v <=ncovcol+nqv+ntv+nqtv;v++){
                   9541:     DummyV[v]=1;
                   9542:     FixedV[v]=1;
                   9543:   }
                   9544:   for(v=1; v <=ncovcol+nqv+ntv+nqtv;v++){
                   9545:     printf("Covariate type in the data: V%d, DummyV(V%d)=%d, FixedV(V%d)=%d\n",v,v,DummyV[v],v,FixedV[v]);
                   9546:     fprintf(ficlog,"Covariate type in the data: V%d, DummyV(V%d)=%d, FixedV(V%d)=%d\n",v,v,DummyV[v],v,FixedV[v]);
                   9547:   }
1.126     brouard  9548: 
1.136     brouard  9549:   if((fic=fopen(datafile,"r"))==NULL)    {
1.218     brouard  9550:     printf("Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(stdout);
                   9551:     fprintf(ficlog,"Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(ficlog);return 1;
1.136     brouard  9552:   }
1.126     brouard  9553: 
1.302     brouard  9554:     /* Is it a BOM UTF-8 Windows file? */
                   9555:   /* First data line */
                   9556:   linei=0;
                   9557:   while(fgets(line, MAXLINE, fic)) {
                   9558:     noffset=0;
                   9559:     if( line[0] == (char)0xEF && line[1] == (char)0xBB) /* EF BB BF */
                   9560:     {
                   9561:       noffset=noffset+3;
                   9562:       printf("# Data file '%s'  is an UTF8 BOM file, please convert to UTF8 or ascii file and rerun.\n",datafile);fflush(stdout);
                   9563:       fprintf(ficlog,"# Data file '%s'  is an UTF8 BOM file, please convert to UTF8 or ascii file and rerun.\n",datafile);
                   9564:       fflush(ficlog); return 1;
                   9565:     }
                   9566:     /*    else if( line[0] == (char)0xFE && line[1] == (char)0xFF)*/
                   9567:     else if( line[0] == (char)0xFF && line[1] == (char)0xFE)
                   9568:     {
                   9569:       noffset=noffset+2;
1.304     brouard  9570:       printf("# Error Data file '%s'  is a huge UTF16BE BOM file, please convert to UTF8 or ascii file (for example with dos2unix) and rerun.\n",datafile);fflush(stdout);
                   9571:       fprintf(ficlog,"# Error Data file '%s'  is a huge UTF16BE BOM file, please convert to UTF8 or ascii file (for example with dos2unix) and rerun.\n",datafile);
1.302     brouard  9572:       fflush(ficlog); return 1;
                   9573:     }
                   9574:     else if( line[0] == 0 && line[1] == 0)
                   9575:     {
                   9576:       if( line[2] == (char)0xFE && line[3] == (char)0xFF){
                   9577:        noffset=noffset+4;
1.304     brouard  9578:        printf("# Error Data file '%s'  is a huge UTF16BE BOM file, please convert to UTF8 or ascii file (for example with dos2unix) and rerun.\n",datafile);fflush(stdout);
                   9579:        fprintf(ficlog,"# Error Data file '%s'  is a huge UTF16BE BOM file, please convert to UTF8 or ascii file (for example with dos2unix) and rerun.\n",datafile);
1.302     brouard  9580:        fflush(ficlog); return 1;
                   9581:       }
                   9582:     } else{
                   9583:       ;/*printf(" Not a BOM file\n");*/
                   9584:     }
                   9585:         /* If line starts with a # it is a comment */
                   9586:     if (line[noffset] == '#') {
                   9587:       linei=linei+1;
                   9588:       break;
                   9589:     }else{
                   9590:       break;
                   9591:     }
                   9592:   }
                   9593:   fclose(fic);
                   9594:   if((fic=fopen(datafile,"r"))==NULL)    {
                   9595:     printf("Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(stdout);
                   9596:     fprintf(ficlog,"Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(ficlog);return 1;
                   9597:   }
                   9598:   /* Not a Bom file */
                   9599:   
1.136     brouard  9600:   i=1;
                   9601:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   9602:     linei=linei+1;
                   9603:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   9604:       if(line[j] == '\t')
                   9605:        line[j] = ' ';
                   9606:     }
                   9607:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   9608:       ;
                   9609:     };
                   9610:     line[j+1]=0;  /* Trims blanks at end of line */
                   9611:     if(line[0]=='#'){
                   9612:       fprintf(ficlog,"Comment line\n%s\n",line);
                   9613:       printf("Comment line\n%s\n",line);
                   9614:       continue;
                   9615:     }
                   9616:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  9617:     strcpy(line, linetmp);
1.223     brouard  9618:     
                   9619:     /* Loops on waves */
                   9620:     for (j=maxwav;j>=1;j--){
                   9621:       for (iv=nqtv;iv>=1;iv--){  /* Loop  on time varying quantitative variables */
1.238     brouard  9622:        cutv(stra, strb, line, ' '); 
                   9623:        if(strb[0]=='.') { /* Missing value */
                   9624:          lval=-1;
                   9625:          cotqvar[j][iv][i]=-1; /* 0.0/0.0 */
                   9626:          cotvar[j][ntv+iv][i]=-1; /* For performance reasons */
                   9627:          if(isalpha(strb[1])) { /* .m or .d Really Missing value */
                   9628:            printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value out of %d measured at wave %d. If missing, you should remove this individual or impute a value.  Exiting.\n", strb, linei,i,line,iv, nqtv, j);
                   9629:            fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value out of %d measured at wave %d. If missing, you should remove this individual or impute a value.  Exiting.\n", strb, linei,i,line,iv, nqtv, j);fflush(ficlog);
                   9630:            return 1;
                   9631:          }
                   9632:        }else{
                   9633:          errno=0;
                   9634:          /* what_kind_of_number(strb); */
                   9635:          dval=strtod(strb,&endptr); 
                   9636:          /* if( strb[0]=='\0' || (*endptr != '\0')){ */
                   9637:          /* if(strb != endptr && *endptr == '\0') */
                   9638:          /*    dval=dlval; */
                   9639:          /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   9640:          if( strb[0]=='\0' || (*endptr != '\0')){
                   9641:            printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value out of %d measured at wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,iv, nqtv, j,maxwav);
                   9642:            fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value out of %d measured at wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line, iv, nqtv, j,maxwav);fflush(ficlog);
                   9643:            return 1;
                   9644:          }
                   9645:          cotqvar[j][iv][i]=dval; 
                   9646:          cotvar[j][ntv+iv][i]=dval; 
                   9647:        }
                   9648:        strcpy(line,stra);
1.223     brouard  9649:       }/* end loop ntqv */
1.225     brouard  9650:       
1.223     brouard  9651:       for (iv=ntv;iv>=1;iv--){  /* Loop  on time varying dummies */
1.238     brouard  9652:        cutv(stra, strb, line, ' '); 
                   9653:        if(strb[0]=='.') { /* Missing value */
                   9654:          lval=-1;
                   9655:        }else{
                   9656:          errno=0;
                   9657:          lval=strtol(strb,&endptr,10); 
                   9658:          /*    if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   9659:          if( strb[0]=='\0' || (*endptr != '\0')){
                   9660:            printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th dummy covariate out of %d measured at wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,iv, ntv, j,maxwav);
                   9661:            fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d dummy covariate out of %d measured wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,iv, ntv,j,maxwav);fflush(ficlog);
                   9662:            return 1;
                   9663:          }
                   9664:        }
                   9665:        if(lval <-1 || lval >1){
                   9666:          printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.319     brouard  9667:  Should be a value of %d(nth) covariate of wave %d (0 should be the value for the reference and 1\n \
1.223     brouard  9668:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.238     brouard  9669:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9670:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9671:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  9672:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.238     brouard  9673:  output of IMaCh is often meaningless.\n                               \
1.319     brouard  9674:  Exiting.\n",lval,linei, i,line,iv,j);
1.238     brouard  9675:          fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.319     brouard  9676:  Should be a value of %d(nth) covariate of wave %d (0 should be the value for the reference and 1\n \
1.223     brouard  9677:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.238     brouard  9678:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9679:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9680:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  9681:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.238     brouard  9682:  output of IMaCh is often meaningless.\n                               \
1.319     brouard  9683:  Exiting.\n",lval,linei, i,line,iv,j);fflush(ficlog);
1.238     brouard  9684:          return 1;
                   9685:        }
                   9686:        cotvar[j][iv][i]=(double)(lval);
                   9687:        strcpy(line,stra);
1.223     brouard  9688:       }/* end loop ntv */
1.225     brouard  9689:       
1.223     brouard  9690:       /* Statuses  at wave */
1.137     brouard  9691:       cutv(stra, strb, line, ' '); 
1.223     brouard  9692:       if(strb[0]=='.') { /* Missing value */
1.238     brouard  9693:        lval=-1;
1.136     brouard  9694:       }else{
1.238     brouard  9695:        errno=0;
                   9696:        lval=strtol(strb,&endptr,10); 
                   9697:        /*      if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   9698:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9699:          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);
                   9700:          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);
                   9701:          return 1;
                   9702:        }
1.136     brouard  9703:       }
1.225     brouard  9704:       
1.136     brouard  9705:       s[j][i]=lval;
1.225     brouard  9706:       
1.223     brouard  9707:       /* Date of Interview */
1.136     brouard  9708:       strcpy(line,stra);
                   9709:       cutv(stra, strb,line,' ');
1.169     brouard  9710:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9711:       }
1.169     brouard  9712:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.225     brouard  9713:        month=99;
                   9714:        year=9999;
1.136     brouard  9715:       }else{
1.225     brouard  9716:        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);
                   9717:        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);
                   9718:        return 1;
1.136     brouard  9719:       }
                   9720:       anint[j][i]= (double) year; 
1.302     brouard  9721:       mint[j][i]= (double)month;
                   9722:       /* if( (int)anint[j][i]+ (int)(mint[j][i])/12. < (int) (moisnais[i]/12.+annais[i])){ */
                   9723:       /*       printf("Warning reading data around '%s' at line number %d for individual %d, '%s'\nThe date of interview (%2d/%4d) at wave %d occurred before the date of birth (%2d/%4d).\n",strb, linei,i, line, mint[j][i],anint[j][i], moisnais[i],annais[i]); */
                   9724:       /*       fprintf(ficlog,"Warning reading data around '%s' at line number %d for individual %d, '%s'\nThe date of interview (%2d/%4d) at wave %d occurred before the date of birth (%2d/%4d).\n",strb, linei,i, line, mint[j][i],anint[j][i], moisnais[i],annais[i]); */
                   9725:       /* } */
1.136     brouard  9726:       strcpy(line,stra);
1.223     brouard  9727:     } /* End loop on waves */
1.225     brouard  9728:     
1.223     brouard  9729:     /* Date of death */
1.136     brouard  9730:     cutv(stra, strb,line,' '); 
1.169     brouard  9731:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9732:     }
1.169     brouard  9733:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  9734:       month=99;
                   9735:       year=9999;
                   9736:     }else{
1.141     brouard  9737:       printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of death (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);
1.225     brouard  9738:       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);
                   9739:       return 1;
1.136     brouard  9740:     }
                   9741:     andc[i]=(double) year; 
                   9742:     moisdc[i]=(double) month; 
                   9743:     strcpy(line,stra);
                   9744:     
1.223     brouard  9745:     /* Date of birth */
1.136     brouard  9746:     cutv(stra, strb,line,' '); 
1.169     brouard  9747:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9748:     }
1.169     brouard  9749:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  9750:       month=99;
                   9751:       year=9999;
                   9752:     }else{
1.141     brouard  9753:       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);
                   9754:       fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);fflush(ficlog);
1.225     brouard  9755:       return 1;
1.136     brouard  9756:     }
                   9757:     if (year==9999) {
1.141     brouard  9758:       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);
                   9759:       fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy) but at least the year of birth should be given. Exiting.\n",strb, linei,i,line);fflush(ficlog);
1.225     brouard  9760:       return 1;
                   9761:       
1.136     brouard  9762:     }
                   9763:     annais[i]=(double)(year);
1.302     brouard  9764:     moisnais[i]=(double)(month);
                   9765:     for (j=1;j<=maxwav;j++){
                   9766:       if( (int)anint[j][i]+ (int)(mint[j][i])/12. < (int) (moisnais[i]/12.+annais[i])){
                   9767:        printf("Warning reading data around '%s' at line number %d for individual %d, '%s'\nThe date of interview (%2d/%4d) at wave %d occurred before the date of birth (%2d/%4d).\n",strb, linei,i, line, (int)mint[j][i],(int)anint[j][i], j,(int)moisnais[i],(int)annais[i]);
                   9768:        fprintf(ficlog,"Warning reading data around '%s' at line number %d for individual %d, '%s'\nThe date of interview (%2d/%4d) at wave %d occurred before the date of birth (%2d/%4d).\n",strb, linei,i, line, (int)mint[j][i],(int)anint[j][i], j, (int)moisnais[i],(int)annais[i]);
                   9769:       }
                   9770:     }
                   9771: 
1.136     brouard  9772:     strcpy(line,stra);
1.225     brouard  9773:     
1.223     brouard  9774:     /* Sample weight */
1.136     brouard  9775:     cutv(stra, strb,line,' '); 
                   9776:     errno=0;
                   9777:     dval=strtod(strb,&endptr); 
                   9778:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  9779:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   9780:       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  9781:       fflush(ficlog);
                   9782:       return 1;
                   9783:     }
                   9784:     weight[i]=dval; 
                   9785:     strcpy(line,stra);
1.225     brouard  9786:     
1.223     brouard  9787:     for (iv=nqv;iv>=1;iv--){  /* Loop  on fixed quantitative variables */
                   9788:       cutv(stra, strb, line, ' '); 
                   9789:       if(strb[0]=='.') { /* Missing value */
1.225     brouard  9790:        lval=-1;
1.311     brouard  9791:        coqvar[iv][i]=NAN; 
                   9792:        covar[ncovcol+iv][i]=NAN; /* including qvar in standard covar for performance reasons */ 
1.223     brouard  9793:       }else{
1.225     brouard  9794:        errno=0;
                   9795:        /* what_kind_of_number(strb); */
                   9796:        dval=strtod(strb,&endptr);
                   9797:        /* if(strb != endptr && *endptr == '\0') */
                   9798:        /*   dval=dlval; */
                   9799:        /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   9800:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9801:          printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value (out of %d) constant for all waves. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line, iv, nqv, maxwav);
                   9802:          fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value (out of %d) constant for all waves. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line, iv, nqv, maxwav);fflush(ficlog);
                   9803:          return 1;
                   9804:        }
                   9805:        coqvar[iv][i]=dval; 
1.226     brouard  9806:        covar[ncovcol+iv][i]=dval; /* including qvar in standard covar for performance reasons */ 
1.223     brouard  9807:       }
                   9808:       strcpy(line,stra);
                   9809:     }/* end loop nqv */
1.136     brouard  9810:     
1.223     brouard  9811:     /* Covariate values */
1.136     brouard  9812:     for (j=ncovcol;j>=1;j--){
                   9813:       cutv(stra, strb,line,' '); 
1.223     brouard  9814:       if(strb[0]=='.') { /* Missing covariate value */
1.225     brouard  9815:        lval=-1;
1.136     brouard  9816:       }else{
1.225     brouard  9817:        errno=0;
                   9818:        lval=strtol(strb,&endptr,10); 
                   9819:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9820:          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);
                   9821:          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);
                   9822:          return 1;
                   9823:        }
1.136     brouard  9824:       }
                   9825:       if(lval <-1 || lval >1){
1.225     brouard  9826:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  9827:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9828:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  9829:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9830:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9831:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  9832:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  9833:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  9834:  Exiting.\n",lval,linei, i,line,j);
1.225     brouard  9835:        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  9836:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9837:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  9838:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9839:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9840:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  9841:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  9842:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  9843:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.225     brouard  9844:        return 1;
1.136     brouard  9845:       }
                   9846:       covar[j][i]=(double)(lval);
                   9847:       strcpy(line,stra);
                   9848:     }  
                   9849:     lstra=strlen(stra);
1.225     brouard  9850:     
1.136     brouard  9851:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   9852:       stratrunc = &(stra[lstra-9]);
                   9853:       num[i]=atol(stratrunc);
                   9854:     }
                   9855:     else
                   9856:       num[i]=atol(stra);
                   9857:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   9858:       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;}*/
                   9859:     
                   9860:     i=i+1;
                   9861:   } /* End loop reading  data */
1.225     brouard  9862:   
1.136     brouard  9863:   *imax=i-1; /* Number of individuals */
                   9864:   fclose(fic);
1.225     brouard  9865:   
1.136     brouard  9866:   return (0);
1.164     brouard  9867:   /* endread: */
1.225     brouard  9868:   printf("Exiting readdata: ");
                   9869:   fclose(fic);
                   9870:   return (1);
1.223     brouard  9871: }
1.126     brouard  9872: 
1.234     brouard  9873: void removefirstspace(char **stri){/*, char stro[]) {*/
1.230     brouard  9874:   char *p1 = *stri, *p2 = *stri;
1.235     brouard  9875:   while (*p2 == ' ')
1.234     brouard  9876:     p2++; 
                   9877:   /* while ((*p1++ = *p2++) !=0) */
                   9878:   /*   ; */
                   9879:   /* do */
                   9880:   /*   while (*p2 == ' ') */
                   9881:   /*     p2++; */
                   9882:   /* while (*p1++ == *p2++); */
                   9883:   *stri=p2; 
1.145     brouard  9884: }
                   9885: 
1.235     brouard  9886: int decoderesult ( char resultline[], int nres)
1.230     brouard  9887: /**< This routine decode one result line and returns the combination # of dummy covariates only **/
                   9888: {
1.235     brouard  9889:   int j=0, k=0, k1=0, k2=0, k3=0, k4=0, match=0, k2q=0, k3q=0, k4q=0;
1.230     brouard  9890:   char resultsav[MAXLINE];
1.234     brouard  9891:   int resultmodel[MAXLINE];
                   9892:   int modelresult[MAXLINE];
1.230     brouard  9893:   char stra[80], strb[80], strc[80], strd[80],stre[80];
                   9894: 
1.234     brouard  9895:   removefirstspace(&resultline);
1.230     brouard  9896: 
                   9897:   if (strstr(resultline,"v") !=0){
                   9898:     printf("Error. 'v' must be in upper case 'V' result: %s ",resultline);
                   9899:     fprintf(ficlog,"Error. 'v' must be in upper case result: %s ",resultline);fflush(ficlog);
                   9900:     return 1;
                   9901:   }
                   9902:   trimbb(resultsav, resultline);
                   9903:   if (strlen(resultsav) >1){
                   9904:     j=nbocc(resultsav,'='); /**< j=Number of covariate values'=' */
                   9905:   }
1.253     brouard  9906:   if(j == 0){ /* Resultline but no = */
                   9907:     TKresult[nres]=0; /* Combination for the nresult and the model */
                   9908:     return (0);
                   9909:   }
1.234     brouard  9910:   if( j != cptcovs ){ /* Be careful if a variable is in a product but not single */
1.318     brouard  9911:     printf("ERROR: the number of variables in this result line, %d, differs from the number of variables used in the model line, %d.\n",j, cptcovs);
1.310     brouard  9912:     fprintf(ficlog,"ERROR: the number of variables in the resultline, %d, differs from the number of variables used in the model line, %d.\n",j, cptcovs);
1.234     brouard  9913:   }
                   9914:   for(k=1; k<=j;k++){ /* Loop on any covariate of the result line */
                   9915:     if(nbocc(resultsav,'=') >1){
1.318     brouard  9916:       cutl(stra,strb,resultsav,' '); /* keeps in strb after the first ' ' (stra is the rest of the resultline to be analyzed in the next loop *//*     resultsav= "V4=1 V5=25.1 V3=0" stra= "V5=25.1 V3=0" strb= "V4=1" */
                   9917:       cutl(strc,strd,strb,'=');  /* strb:"V4=1" strc="1" strd="V4" */
1.234     brouard  9918:     }else
                   9919:       cutl(strc,strd,resultsav,'=');
1.318     brouard  9920:     Tvalsel[k]=atof(strc); /* 1 */ /* Tvalsel of k is the float value of the kth covariate appearing in this result line */
1.234     brouard  9921:     
1.230     brouard  9922:     cutl(strc,stre,strd,'V'); /* strd='V4' strc=4 stre='V' */;
1.318     brouard  9923:     Tvarsel[k]=atoi(strc);  /* 4 */ /* Tvarsel is the id of the kth covariate in the result line Tvarsel[1] in "V4=1.." is 4.*/
1.230     brouard  9924:     /* Typevarsel[k]=1;  /\* 1 for age product *\/ */
                   9925:     /* cptcovsel++;     */
                   9926:     if (nbocc(stra,'=') >0)
                   9927:       strcpy(resultsav,stra); /* and analyzes it */
                   9928:   }
1.235     brouard  9929:   /* Checking for missing or useless values in comparison of current model needs */
1.318     brouard  9930:   for(k1=1; k1<= cptcovt ;k1++){ /* Loop on model. model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9931:     if(Typevar[k1]==0){ /* Single covariate in model *//*0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product */
1.234     brouard  9932:       match=0;
1.318     brouard  9933:       for(k2=1; k2 <=j;k2++){/* Loop on resultline. In result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
                   9934:        if(Tvar[k1]==Tvarsel[k2]) {/* Tvar is coming from the model, Tvarsel from the result. Tvar[1]=5 == Tvarsel[2]=5   */
1.236     brouard  9935:          modelresult[k2]=k1;/* modelresult[2]=1 modelresult[1]=2  modelresult[3]=3  modelresult[6]=4 modelresult[9]=5 */
1.318     brouard  9936:          match=1; /* modelresult of k2 variable of resultline is identical to k1 variable of the model good */
1.234     brouard  9937:          break;
                   9938:        }
                   9939:       }
                   9940:       if(match == 0){
1.310     brouard  9941:        printf("Error in result line: V%d is missing in result: %s according to model=%s\n",k1, resultline, model);
                   9942:        fprintf(ficlog,"Error in result line: V%d is missing in result: %s according to model=%s\n",k1, resultline, model);
                   9943:        return 1;
1.234     brouard  9944:       }
                   9945:     }
                   9946:   }
1.235     brouard  9947:   /* Checking for missing or useless values in comparison of current model needs */
1.318     brouard  9948:   for(k2=1; k2 <=j;k2++){ /* Loop on resultline variables: result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
1.234     brouard  9949:     match=0;
1.318     brouard  9950:     for(k1=1; k1<= cptcovt ;k1++){ /* loop on model: model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
1.235     brouard  9951:       if(Typevar[k1]==0){ /* Single */
1.237     brouard  9952:        if(Tvar[k1]==Tvarsel[k2]) { /* Tvar[2]=4 == Tvarsel[1]=4   */
1.318     brouard  9953:          resultmodel[k1]=k2;  /* k2th variable of the model corresponds to k1 variable of the model. resultmodel[2]=1 resultmodel[1]=2  resultmodel[3]=3  resultmodel[6]=4 resultmodel[9]=5 */
1.234     brouard  9954:          ++match;
                   9955:        }
                   9956:       }
                   9957:     }
                   9958:     if(match == 0){
                   9959:       printf("Error in result line: %d value missing; result: %s, model=%s\n",k1, resultline, model);
1.310     brouard  9960:       fprintf(ficlog,"Error in result line: %d value missing; result: %s, model=%s\n",k1, resultline, model);
                   9961:       return 1;
1.234     brouard  9962:     }else if(match > 1){
                   9963:       printf("Error in result line: %d doubled; result: %s, model=%s\n",k2, resultline, model);
1.310     brouard  9964:       fprintf(ficlog,"Error in result line: %d doubled; result: %s, model=%s\n",k2, resultline, model);
                   9965:       return 1;
1.234     brouard  9966:     }
                   9967:   }
1.235     brouard  9968:       
1.234     brouard  9969:   /* We need to deduce which combination number is chosen and save quantitative values */
1.235     brouard  9970:   /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9971:   /* result line V4=1 V5=25.1 V3=0  V2=8 V1=1 */
                   9972:   /* should give a combination of dummy V4=1, V3=0, V1=1 => V4*2**(0) + V3*2**(1) + V1*2**(2) = 5 + (1offset) = 6*/
                   9973:   /* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
                   9974:   /* should give a combination of dummy V4=1, V3=1, V1=0 => V4*2**(0) + V3*2**(1) + V1*2**(2) = 3 + (1offset) = 4*/
                   9975:   /*    1 0 0 0 */
                   9976:   /*    2 1 0 0 */
                   9977:   /*    3 0 1 0 */ 
                   9978:   /*    4 1 1 0 */ /* V4=1, V3=1, V1=0 */
                   9979:   /*    5 0 0 1 */
                   9980:   /*    6 1 0 1 */ /* V4=1, V3=0, V1=1 */
                   9981:   /*    7 0 1 1 */
                   9982:   /*    8 1 1 1 */
1.237     brouard  9983:   /* V(Tvresult)=Tresult V4=1 V3=0 V1=1 Tresult[nres=1][2]=0 */
                   9984:   /* V(Tvqresult)=Tqresult V5=25.1 V2=8 Tqresult[nres=1][1]=25.1 */
                   9985:   /* V5*age V5 known which value for nres?  */
                   9986:   /* Tqinvresult[2]=8 Tqinvresult[1]=25.1  */
1.318     brouard  9987:   for(k1=1, k=0, k4=0, k4q=0; k1 <=cptcovt;k1++){ /* loop on model line */
1.235     brouard  9988:     if( Dummy[k1]==0 && Typevar[k1]==0 ){ /* Single dummy */
1.237     brouard  9989:       k3= resultmodel[k1]; /* resultmodel[2(V4)] = 1=k3 */
1.235     brouard  9990:       k2=(int)Tvarsel[k3]; /*  Tvarsel[resultmodel[2]]= Tvarsel[1] = 4=k2 */
                   9991:       k+=Tvalsel[k3]*pow(2,k4);  /*  Tvalsel[1]=1  */
1.237     brouard  9992:       Tresult[nres][k4+1]=Tvalsel[k3];/* Tresult[nres][1]=1(V4=1)  Tresult[nres][2]=0(V3=0) */
                   9993:       Tvresult[nres][k4+1]=(int)Tvarsel[k3];/* Tvresult[nres][1]=4 Tvresult[nres][3]=1 */
                   9994:       Tinvresult[nres][(int)Tvarsel[k3]]=Tvalsel[k3]; /* Tinvresult[nres][4]=1 */
1.235     brouard  9995:       printf("Decoderesult Dummy k=%d, V(k2=V%d)= Tvalsel[%d]=%d, 2**(%d)\n",k, k2, k3, (int)Tvalsel[k3], k4);
                   9996:       k4++;;
                   9997:     }  else if( Dummy[k1]==1 && Typevar[k1]==0 ){ /* Single quantitative */
1.318     brouard  9998:       k3q= resultmodel[k1]; /* resultmodel[1(V5)] = 25.1=k3q */
                   9999:       k2q=(int)Tvarsel[k3q]; /*  Tvarsel[resultmodel[1]]= Tvarsel[1] = 4=k2 */
1.237     brouard  10000:       Tqresult[nres][k4q+1]=Tvalsel[k3q]; /* Tqresult[nres][1]=25.1 */
                   10001:       Tvqresult[nres][k4q+1]=(int)Tvarsel[k3q]; /* Tvqresult[nres][1]=5 */
                   10002:       Tqinvresult[nres][(int)Tvarsel[k3q]]=Tvalsel[k3q]; /* Tqinvresult[nres][5]=25.1 */
1.235     brouard  10003:       printf("Decoderesult Quantitative nres=%d, V(k2q=V%d)= Tvalsel[%d]=%d, Tvarsel[%d]=%f\n",nres, k2q, k3q, Tvarsel[k3q], k3q, Tvalsel[k3q]);
                   10004:       k4q++;;
                   10005:     }
                   10006:   }
1.234     brouard  10007:   
1.235     brouard  10008:   TKresult[nres]=++k; /* Combination for the nresult and the model */
1.230     brouard  10009:   return (0);
                   10010: }
1.235     brouard  10011: 
1.230     brouard  10012: int decodemodel( char model[], int lastobs)
                   10013:  /**< This routine decodes the model and returns:
1.224     brouard  10014:        * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   10015:        * - nagesqr = 1 if age*age in the model, otherwise 0.
                   10016:        * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   10017:        * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
                   10018:        * - cptcovage number of covariates with age*products =2
                   10019:        * - cptcovs number of simple covariates
                   10020:        * - 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
                   10021:        *     which is a new column after the 9 (ncovcol) variables. 
1.319     brouard  10022:        * - if k is a product Vn*Vm, covar[k][i] is filled with correct values for each individual
1.224     brouard  10023:        * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   10024:        *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   10025:        * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   10026:        */
1.319     brouard  10027: /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1, Tage[1]=2 */
1.136     brouard  10028: {
1.238     brouard  10029:   int i, j, k, ks, v;
1.227     brouard  10030:   int  j1, k1, k2, k3, k4;
1.136     brouard  10031:   char modelsav[80];
1.145     brouard  10032:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  10033:   char *strpt;
1.136     brouard  10034: 
1.145     brouard  10035:   /*removespace(model);*/
1.136     brouard  10036:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  10037:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  10038:     if (strstr(model,"AGE") !=0){
1.192     brouard  10039:       printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
                   10040:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
1.136     brouard  10041:       return 1;
                   10042:     }
1.141     brouard  10043:     if (strstr(model,"v") !=0){
                   10044:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   10045:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   10046:       return 1;
                   10047:     }
1.187     brouard  10048:     strcpy(modelsav,model); 
                   10049:     if ((strpt=strstr(model,"age*age")) !=0){
                   10050:       printf(" strpt=%s, model=%s\n",strpt, model);
                   10051:       if(strpt != model){
1.234     brouard  10052:        printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  10053:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  10054:  corresponding column of parameters.\n",model);
1.234     brouard  10055:        fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  10056:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  10057:  corresponding column of parameters.\n",model); fflush(ficlog);
1.234     brouard  10058:        return 1;
1.225     brouard  10059:       }
1.187     brouard  10060:       nagesqr=1;
                   10061:       if (strstr(model,"+age*age") !=0)
1.234     brouard  10062:        substrchaine(modelsav, model, "+age*age");
1.187     brouard  10063:       else if (strstr(model,"age*age+") !=0)
1.234     brouard  10064:        substrchaine(modelsav, model, "age*age+");
1.187     brouard  10065:       else 
1.234     brouard  10066:        substrchaine(modelsav, model, "age*age");
1.187     brouard  10067:     }else
                   10068:       nagesqr=0;
                   10069:     if (strlen(modelsav) >1){
                   10070:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   10071:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
1.224     brouard  10072:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =5-3=2  */
1.187     brouard  10073:       cptcovt= j+1; /* Number of total covariates in the model, not including
1.225     brouard  10074:                     * cst, age and age*age 
                   10075:                     * V1+V1*age+ V3 + V3*V4+age*age=> 3+1=4*/
                   10076:       /* including age products which are counted in cptcovage.
                   10077:        * but the covariates which are products must be treated 
                   10078:        * separately: ncovn=4- 2=2 (V1+V3). */
1.187     brouard  10079:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   10080:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
1.225     brouard  10081:       
                   10082:       
1.187     brouard  10083:       /*   Design
                   10084:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   10085:        *  <          ncovcol=8                >
                   10086:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   10087:        *   k=  1    2      3       4     5       6      7        8
                   10088:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   10089:        *  covar[k,i], value of kth covariate if not including age for individual i:
1.224     brouard  10090:        *       covar[1][i]= (V1), covar[4][i]=(V4), covar[8][i]=(V8)
                   10091:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[2]=1 Tvar[4]=3 Tvar[8]=8
1.187     brouard  10092:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   10093:        *  Tage[++cptcovage]=k
                   10094:        *       if products, new covar are created after ncovcol with k1
                   10095:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   10096:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   10097:        *  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
                   10098:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   10099:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   10100:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   10101:        *  <          ncovcol=8                >
                   10102:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   10103:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   10104:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
1.319     brouard  10105:        * p Tvar[1]@12={2,   1,     3,      3,  11,     10,     8,       8,   7,   8,   5,  6}
1.187     brouard  10106:        * p Tprod[1]@2={                         6, 5}
                   10107:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   10108:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   10109:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
1.319     brouard  10110:        *How to reorganize? Tvars(orted)
1.187     brouard  10111:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   10112:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   10113:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   10114:        * Struct []
                   10115:        */
1.225     brouard  10116:       
1.187     brouard  10117:       /* This loop fills the array Tvar from the string 'model'.*/
                   10118:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   10119:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   10120:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   10121:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   10122:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   10123:       /*       k=1 Tvar[1]=2 (from V2) */
                   10124:       /*       k=5 Tvar[5] */
                   10125:       /* for (k=1; k<=cptcovn;k++) { */
1.198     brouard  10126:       /*       cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.187     brouard  10127:       /*       } */
1.198     brouard  10128:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
1.187     brouard  10129:       /*
                   10130:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
1.227     brouard  10131:       for(k=cptcovt; k>=1;k--){ /**< Number of covariates not including constant and age, neither age*age*/
                   10132:         Tvar[k]=0; Tprod[k]=0; Tposprod[k]=0;
                   10133:       }
1.187     brouard  10134:       cptcovage=0;
1.319     brouard  10135:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model line */
                   10136:        cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' cutl from left to right
                   10137:                                         modelsav==V2+V1+V5*age+V4+V3*age strb=V3*age stra=V2+V1V5*age+V4 */    /* <model> "V5+V4+V3+V4*V3+V5*age+V1*age+V1" strb="V5" stra="V4+V3+V4*V3+V5*age+V1*age+V1" */
                   10138:        if (nbocc(modelsav,'+')==0)
                   10139:          strcpy(strb,modelsav); /* and analyzes it */
1.234     brouard  10140:        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                   10141:        /*scanf("%d",i);*/
1.319     brouard  10142:        if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V5*age+ V4+V3*age strb=V3*age */
                   10143:          cutl(strc,strd,strb,'*'); /**< k=1 strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
1.234     brouard  10144:          if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                   10145:            /* covar is not filled and then is empty */
                   10146:            cptcovprod--;
                   10147:            cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
1.319     brouard  10148:            Tvar[k]=atoi(stre);  /* V2+V1+V5*age+V4+V3*age Tvar[5]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
1.234     brouard  10149:            Typevar[k]=1;  /* 1 for age product */
1.319     brouard  10150:            cptcovage++; /* Counts the number of covariates which include age as a product */
                   10151:            Tage[cptcovage]=k;  /*  V2+V1+V4+V3*age Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
1.234     brouard  10152:            /*printf("stre=%s ", stre);*/
                   10153:          } else if (strcmp(strd,"age")==0) { /* or age*Vn */
                   10154:            cptcovprod--;
                   10155:            cutl(stre,strb,strc,'V');
                   10156:            Tvar[k]=atoi(stre);
                   10157:            Typevar[k]=1;  /* 1 for age product */
                   10158:            cptcovage++;
                   10159:            Tage[cptcovage]=k;
                   10160:          } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                   10161:            /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                   10162:            cptcovn++;
                   10163:            cptcovprodnoage++;k1++;
                   10164:            cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                   10165:            Tvar[k]=ncovcol+nqv+ntv+nqtv+k1; /* For model-covariate k tells which data-covariate to use but
                   10166:                                                because this model-covariate is a construction we invent a new column
                   10167:                                                which is after existing variables ncovcol+nqv+ntv+nqtv + k1
1.319     brouard  10168:                                                If already ncovcol=4 and model=V2 + V1 +V1*V4 +age*V3 +V3*V2
                   10169:                                                thus after V4 we invent V5 and V6 because age*V3 will be computed in 4
                   10170:                                                Tvar[3=V1*V4]=4+1=5 Tvar[5=V3*V2]=4 + 2= 6, Tvar[4=age*V3]=4 etc */
1.234     brouard  10171:            Typevar[k]=2;  /* 2 for double fixed dummy covariates */
                   10172:            cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                   10173:            Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
1.319     brouard  10174:            Tposprod[k]=k1; /* Tposprod[3]=1, Tposprod[2]=5 */
1.234     brouard  10175:            Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                   10176:            Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                   10177:            k2=k2+2;  /* k2 is initialize to -1, We want to store the n and m in Vn*Vm at the end of Tvar */
                   10178:            /* Tvar[cptcovt+k2]=Tvard[k1][1]; /\* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) *\/ */
                   10179:            /* Tvar[cptcovt+k2+1]=Tvard[k1][2];  /\* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) *\/ */
1.225     brouard  10180:             /*ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2, Tvar[3]=5, Tvar[4]=6, cptcovt=5 */
1.234     brouard  10181:            /*                     1  2   3      4     5 | Tvar[5+1)=1, Tvar[7]=2   */
                   10182:            for (i=1; i<=lastobs;i++){
                   10183:              /* Computes the new covariate which is a product of
                   10184:                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                   10185:              covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   10186:            }
                   10187:          } /* End age is not in the model */
                   10188:        } /* End if model includes a product */
1.319     brouard  10189:        else { /* not a product */
1.234     brouard  10190:          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                   10191:          /*  scanf("%d",i);*/
                   10192:          cutl(strd,strc,strb,'V');
                   10193:          ks++; /**< Number of simple covariates dummy or quantitative, fixe or varying */
                   10194:          cptcovn++; /** V4+V3+V5: V4 and V3 timevarying dummy covariates, V5 timevarying quantitative */
                   10195:          Tvar[k]=atoi(strd);
                   10196:          Typevar[k]=0;  /* 0 for simple covariates */
                   10197:        }
                   10198:        strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
1.223     brouard  10199:                                /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
1.225     brouard  10200:                                  scanf("%d",i);*/
1.187     brouard  10201:       } /* end of loop + on total covariates */
                   10202:     } /* end if strlen(modelsave == 0) age*age might exist */
                   10203:   } /* end if strlen(model == 0) */
1.136     brouard  10204:   
                   10205:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   10206:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
1.225     brouard  10207:   
1.136     brouard  10208:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
1.225     brouard  10209:      printf("cptcovprod=%d ", cptcovprod);
                   10210:      fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
                   10211:      scanf("%d ",i);*/
                   10212: 
                   10213: 
1.230     brouard  10214: /* Until here, decodemodel knows only the grammar (simple, product, age*) of the model but not what kind
                   10215:    of variable (dummy vs quantitative, fixed vs time varying) is behind. But we know the # of each. */
1.226     brouard  10216: /* ncovcol= 1, nqv=1 | ntv=2, nqtv= 1  = 5 possible variables data: 2 fixed 3, varying
                   10217:    model=        V5 + V4 +V3 + V4*V3 + V5*age + V2 + V1*V2 + V1*age + V5*age, V1 is not used saving its place
                   10218:    k =           1    2   3     4       5       6      7      8        9
                   10219:    Tvar[k]=      5    4   3 1+1+2+1+1=6 5       2      7      1        5
1.319     brouard  10220:    Typevar[k]=   0    0   0     2       1       0      2      1        0
1.227     brouard  10221:    Fixed[k]      1    1   1     1       3       0    0 or 2   2        3
                   10222:    Dummy[k]      1    0   0     0       3       1      1      2        3
                   10223:          Tmodelind[combination of covar]=k;
1.225     brouard  10224: */  
                   10225: /* Dispatching between quantitative and time varying covariates */
1.226     brouard  10226:   /* If Tvar[k] >ncovcol it is a product */
1.225     brouard  10227:   /* Tvar[k] is the value n of Vn with n varying for 1 to nvcol, or p  Vp=Vn*Vm for product */
1.226     brouard  10228:        /* Computing effective variables, ie used by the model, that is from the cptcovt variables */
1.318     brouard  10229:   printf("Model=1+age+%s\n\
1.227     brouard  10230: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   10231: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   10232: Dummy[k] 0=dummy (0 1), 1 quantitative (single or product without age), 2 dummy with age product, 3 quant with age product\n",model);
1.318     brouard  10233:   fprintf(ficlog,"Model=1+age+%s\n\
1.227     brouard  10234: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   10235: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   10236: Dummy[k] 0=dummy (0 1), 1 quantitative (single or product without age), 2 dummy with age product, 3 quant with age product\n",model);
1.285     brouard  10237:   for(k=-1;k<=cptcovt; k++){ Fixed[k]=0; Dummy[k]=0;}
1.234     brouard  10238:   for(k=1, ncovf=0, nsd=0, nsq=0, ncovv=0, ncova=0, ncoveff=0, nqfveff=0, ntveff=0, nqtveff=0;k<=cptcovt; k++){ /* or cptocvt */
                   10239:     if (Tvar[k] <=ncovcol && Typevar[k]==0 ){ /* Simple fixed dummy (<=ncovcol) covariates */
1.227     brouard  10240:       Fixed[k]= 0;
                   10241:       Dummy[k]= 0;
1.225     brouard  10242:       ncoveff++;
1.232     brouard  10243:       ncovf++;
1.234     brouard  10244:       nsd++;
                   10245:       modell[k].maintype= FTYPE;
                   10246:       TvarsD[nsd]=Tvar[k];
                   10247:       TvarsDind[nsd]=k;
                   10248:       TvarF[ncovf]=Tvar[k];
                   10249:       TvarFind[ncovf]=k;
                   10250:       TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   10251:       TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   10252:     }else if( Tvar[k] <=ncovcol &&  Typevar[k]==2){ /* Product of fixed dummy (<=ncovcol) covariates */
                   10253:       Fixed[k]= 0;
                   10254:       Dummy[k]= 0;
                   10255:       ncoveff++;
                   10256:       ncovf++;
                   10257:       modell[k].maintype= FTYPE;
                   10258:       TvarF[ncovf]=Tvar[k];
                   10259:       TvarFind[ncovf]=k;
1.230     brouard  10260:       TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
1.231     brouard  10261:       TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
1.240     brouard  10262:     }else if( Tvar[k] <=ncovcol+nqv && Typevar[k]==0){/* Remind that product Vn*Vm are added in k Only simple fixed quantitative variable */
1.227     brouard  10263:       Fixed[k]= 0;
                   10264:       Dummy[k]= 1;
1.230     brouard  10265:       nqfveff++;
1.234     brouard  10266:       modell[k].maintype= FTYPE;
                   10267:       modell[k].subtype= FQ;
                   10268:       nsq++;
                   10269:       TvarsQ[nsq]=Tvar[k];
                   10270:       TvarsQind[nsq]=k;
1.232     brouard  10271:       ncovf++;
1.234     brouard  10272:       TvarF[ncovf]=Tvar[k];
                   10273:       TvarFind[ncovf]=k;
1.231     brouard  10274:       TvarFQ[nqfveff]=Tvar[k]-ncovcol; /* TvarFQ[1]=V2-1=1st in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
1.230     brouard  10275:       TvarFQind[nqfveff]=k; /* TvarFQind[1]=6 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
1.242     brouard  10276:     }else if( Tvar[k] <=ncovcol+nqv+ntv && Typevar[k]==0){/* Only simple time varying dummy variables */
1.227     brouard  10277:       Fixed[k]= 1;
                   10278:       Dummy[k]= 0;
1.225     brouard  10279:       ntveff++; /* Only simple time varying dummy variable */
1.234     brouard  10280:       modell[k].maintype= VTYPE;
                   10281:       modell[k].subtype= VD;
                   10282:       nsd++;
                   10283:       TvarsD[nsd]=Tvar[k];
                   10284:       TvarsDind[nsd]=k;
                   10285:       ncovv++; /* Only simple time varying variables */
                   10286:       TvarV[ncovv]=Tvar[k];
1.242     brouard  10287:       TvarVind[ncovv]=k; /* TvarVind[2]=2  TvarVind[3]=3 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Any time varying singele */
1.231     brouard  10288:       TvarVD[ntveff]=Tvar[k]; /* TvarVD[1]=V4  TvarVD[2]=V3 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying dummy variable */
                   10289:       TvarVDind[ntveff]=k; /* TvarVDind[1]=2 TvarVDind[2]=3 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying dummy variable */
1.228     brouard  10290:       printf("Quasi Tmodelind[%d]=%d,Tvar[Tmodelind[%d]]=V%d, ncovcol=%d, nqv=%d,Tvar[k]- ncovcol-nqv=%d\n",ntveff,k,ntveff,Tvar[k], ncovcol, nqv,Tvar[k]- ncovcol-nqv);
                   10291:       printf("Quasi TmodelInvind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv);
1.231     brouard  10292:     }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv  && Typevar[k]==0){ /* Only simple time varying quantitative variable V5*/
1.234     brouard  10293:       Fixed[k]= 1;
                   10294:       Dummy[k]= 1;
                   10295:       nqtveff++;
                   10296:       modell[k].maintype= VTYPE;
                   10297:       modell[k].subtype= VQ;
                   10298:       ncovv++; /* Only simple time varying variables */
                   10299:       nsq++;
1.319     brouard  10300:       TvarsQ[nsq]=Tvar[k]; /* k=1 Tvar=5 nsq=1 TvarsQ[1]=5 */
1.234     brouard  10301:       TvarsQind[nsq]=k;
                   10302:       TvarV[ncovv]=Tvar[k];
1.242     brouard  10303:       TvarVind[ncovv]=k; /* TvarVind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Any time varying singele */
1.231     brouard  10304:       TvarVQ[nqtveff]=Tvar[k]; /* TvarVQ[1]=V5 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying quantitative variable */
                   10305:       TvarVQind[nqtveff]=k; /* TvarVQind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying quantitative variable */
1.234     brouard  10306:       TmodelInvQind[nqtveff]=Tvar[k]- ncovcol-nqv-ntv;/* Only simple time varying quantitative variable */
                   10307:       /* Tmodeliqind[k]=nqtveff;/\* Only simple time varying quantitative variable *\/ */
                   10308:       printf("Quasi TmodelQind[%d]=%d,Tvar[TmodelQind[%d]]=V%d, ncovcol=%d, nqv=%d, ntv=%d,Tvar[k]- ncovcol-nqv-ntv=%d\n",nqtveff,k,nqtveff,Tvar[k], ncovcol, nqv, ntv, Tvar[k]- ncovcol-nqv-ntv);
1.228     brouard  10309:       printf("Quasi TmodelInvQind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv-ntv);
1.227     brouard  10310:     }else if (Typevar[k] == 1) {  /* product with age */
1.234     brouard  10311:       ncova++;
                   10312:       TvarA[ncova]=Tvar[k];
                   10313:       TvarAind[ncova]=k;
1.231     brouard  10314:       if (Tvar[k] <=ncovcol ){ /* Product age with fixed dummy covariatee */
1.240     brouard  10315:        Fixed[k]= 2;
                   10316:        Dummy[k]= 2;
                   10317:        modell[k].maintype= ATYPE;
                   10318:        modell[k].subtype= APFD;
                   10319:        /* ncoveff++; */
1.227     brouard  10320:       }else if( Tvar[k] <=ncovcol+nqv) { /* Remind that product Vn*Vm are added in k*/
1.240     brouard  10321:        Fixed[k]= 2;
                   10322:        Dummy[k]= 3;
                   10323:        modell[k].maintype= ATYPE;
                   10324:        modell[k].subtype= APFQ;                /*      Product age * fixed quantitative */
                   10325:        /* nqfveff++;  /\* Only simple fixed quantitative variable *\/ */
1.227     brouard  10326:       }else if( Tvar[k] <=ncovcol+nqv+ntv ){
1.240     brouard  10327:        Fixed[k]= 3;
                   10328:        Dummy[k]= 2;
                   10329:        modell[k].maintype= ATYPE;
                   10330:        modell[k].subtype= APVD;                /*      Product age * varying dummy */
                   10331:        /* ntveff++; /\* Only simple time varying dummy variable *\/ */
1.227     brouard  10332:       }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv){
1.240     brouard  10333:        Fixed[k]= 3;
                   10334:        Dummy[k]= 3;
                   10335:        modell[k].maintype= ATYPE;
                   10336:        modell[k].subtype= APVQ;                /*      Product age * varying quantitative */
                   10337:        /* nqtveff++;/\* Only simple time varying quantitative variable *\/ */
1.227     brouard  10338:       }
                   10339:     }else if (Typevar[k] == 2) {  /* product without age */
                   10340:       k1=Tposprod[k];
                   10341:       if(Tvard[k1][1] <=ncovcol){
1.240     brouard  10342:        if(Tvard[k1][2] <=ncovcol){
                   10343:          Fixed[k]= 1;
                   10344:          Dummy[k]= 0;
                   10345:          modell[k].maintype= FTYPE;
                   10346:          modell[k].subtype= FPDD;              /*      Product fixed dummy * fixed dummy */
                   10347:          ncovf++; /* Fixed variables without age */
                   10348:          TvarF[ncovf]=Tvar[k];
                   10349:          TvarFind[ncovf]=k;
                   10350:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   10351:          Fixed[k]= 0;  /* or 2 ?*/
                   10352:          Dummy[k]= 1;
                   10353:          modell[k].maintype= FTYPE;
                   10354:          modell[k].subtype= FPDQ;              /*      Product fixed dummy * fixed quantitative */
                   10355:          ncovf++; /* Varying variables without age */
                   10356:          TvarF[ncovf]=Tvar[k];
                   10357:          TvarFind[ncovf]=k;
                   10358:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   10359:          Fixed[k]= 1;
                   10360:          Dummy[k]= 0;
                   10361:          modell[k].maintype= VTYPE;
                   10362:          modell[k].subtype= VPDD;              /*      Product fixed dummy * varying dummy */
                   10363:          ncovv++; /* Varying variables without age */
                   10364:          TvarV[ncovv]=Tvar[k];
                   10365:          TvarVind[ncovv]=k;
                   10366:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   10367:          Fixed[k]= 1;
                   10368:          Dummy[k]= 1;
                   10369:          modell[k].maintype= VTYPE;
                   10370:          modell[k].subtype= VPDQ;              /*      Product fixed dummy * varying quantitative */
                   10371:          ncovv++; /* Varying variables without age */
                   10372:          TvarV[ncovv]=Tvar[k];
                   10373:          TvarVind[ncovv]=k;
                   10374:        }
1.227     brouard  10375:       }else if(Tvard[k1][1] <=ncovcol+nqv){
1.240     brouard  10376:        if(Tvard[k1][2] <=ncovcol){
                   10377:          Fixed[k]= 0;  /* or 2 ?*/
                   10378:          Dummy[k]= 1;
                   10379:          modell[k].maintype= FTYPE;
                   10380:          modell[k].subtype= FPDQ;              /*      Product fixed quantitative * fixed dummy */
                   10381:          ncovf++; /* Fixed variables without age */
                   10382:          TvarF[ncovf]=Tvar[k];
                   10383:          TvarFind[ncovf]=k;
                   10384:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   10385:          Fixed[k]= 1;
                   10386:          Dummy[k]= 1;
                   10387:          modell[k].maintype= VTYPE;
                   10388:          modell[k].subtype= VPDQ;              /*      Product fixed quantitative * varying dummy */
                   10389:          ncovv++; /* Varying variables without age */
                   10390:          TvarV[ncovv]=Tvar[k];
                   10391:          TvarVind[ncovv]=k;
                   10392:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   10393:          Fixed[k]= 1;
                   10394:          Dummy[k]= 1;
                   10395:          modell[k].maintype= VTYPE;
                   10396:          modell[k].subtype= VPQQ;              /*      Product fixed quantitative * varying quantitative */
                   10397:          ncovv++; /* Varying variables without age */
                   10398:          TvarV[ncovv]=Tvar[k];
                   10399:          TvarVind[ncovv]=k;
                   10400:          ncovv++; /* Varying variables without age */
                   10401:          TvarV[ncovv]=Tvar[k];
                   10402:          TvarVind[ncovv]=k;
                   10403:        }
1.227     brouard  10404:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv){
1.240     brouard  10405:        if(Tvard[k1][2] <=ncovcol){
                   10406:          Fixed[k]= 1;
                   10407:          Dummy[k]= 1;
                   10408:          modell[k].maintype= VTYPE;
                   10409:          modell[k].subtype= VPDD;              /*      Product time varying dummy * fixed dummy */
                   10410:          ncovv++; /* Varying variables without age */
                   10411:          TvarV[ncovv]=Tvar[k];
                   10412:          TvarVind[ncovv]=k;
                   10413:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   10414:          Fixed[k]= 1;
                   10415:          Dummy[k]= 1;
                   10416:          modell[k].maintype= VTYPE;
                   10417:          modell[k].subtype= VPDQ;              /*      Product time varying dummy * fixed quantitative */
                   10418:          ncovv++; /* Varying variables without age */
                   10419:          TvarV[ncovv]=Tvar[k];
                   10420:          TvarVind[ncovv]=k;
                   10421:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   10422:          Fixed[k]= 1;
                   10423:          Dummy[k]= 0;
                   10424:          modell[k].maintype= VTYPE;
                   10425:          modell[k].subtype= VPDD;              /*      Product time varying dummy * time varying dummy */
                   10426:          ncovv++; /* Varying variables without age */
                   10427:          TvarV[ncovv]=Tvar[k];
                   10428:          TvarVind[ncovv]=k;
                   10429:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   10430:          Fixed[k]= 1;
                   10431:          Dummy[k]= 1;
                   10432:          modell[k].maintype= VTYPE;
                   10433:          modell[k].subtype= VPDQ;              /*      Product time varying dummy * time varying quantitative */
                   10434:          ncovv++; /* Varying variables without age */
                   10435:          TvarV[ncovv]=Tvar[k];
                   10436:          TvarVind[ncovv]=k;
                   10437:        }
1.227     brouard  10438:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv+nqtv){
1.240     brouard  10439:        if(Tvard[k1][2] <=ncovcol){
                   10440:          Fixed[k]= 1;
                   10441:          Dummy[k]= 1;
                   10442:          modell[k].maintype= VTYPE;
                   10443:          modell[k].subtype= VPDQ;              /*      Product time varying quantitative * fixed dummy */
                   10444:          ncovv++; /* Varying variables without age */
                   10445:          TvarV[ncovv]=Tvar[k];
                   10446:          TvarVind[ncovv]=k;
                   10447:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   10448:          Fixed[k]= 1;
                   10449:          Dummy[k]= 1;
                   10450:          modell[k].maintype= VTYPE;
                   10451:          modell[k].subtype= VPQQ;              /*      Product time varying quantitative * fixed quantitative */
                   10452:          ncovv++; /* Varying variables without age */
                   10453:          TvarV[ncovv]=Tvar[k];
                   10454:          TvarVind[ncovv]=k;
                   10455:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   10456:          Fixed[k]= 1;
                   10457:          Dummy[k]= 1;
                   10458:          modell[k].maintype= VTYPE;
                   10459:          modell[k].subtype= VPDQ;              /*      Product time varying quantitative * time varying dummy */
                   10460:          ncovv++; /* Varying variables without age */
                   10461:          TvarV[ncovv]=Tvar[k];
                   10462:          TvarVind[ncovv]=k;
                   10463:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   10464:          Fixed[k]= 1;
                   10465:          Dummy[k]= 1;
                   10466:          modell[k].maintype= VTYPE;
                   10467:          modell[k].subtype= VPQQ;              /*      Product time varying quantitative * time varying quantitative */
                   10468:          ncovv++; /* Varying variables without age */
                   10469:          TvarV[ncovv]=Tvar[k];
                   10470:          TvarVind[ncovv]=k;
                   10471:        }
1.227     brouard  10472:       }else{
1.240     brouard  10473:        printf("Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
                   10474:        fprintf(ficlog,"Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
                   10475:       } /*end k1*/
1.225     brouard  10476:     }else{
1.226     brouard  10477:       printf("Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]);
                   10478:       fprintf(ficlog,"Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]);
1.225     brouard  10479:     }
1.227     brouard  10480:     printf("Decodemodel, k=%d, Tvar[%d]=V%d,Typevar=%d, Fixed=%d, Dummy=%d\n",k, k,Tvar[k],Typevar[k],Fixed[k],Dummy[k]);
1.231     brouard  10481:     printf("           modell[%d].maintype=%d, modell[%d].subtype=%d\n",k,modell[k].maintype,k,modell[k].subtype);
1.227     brouard  10482:     fprintf(ficlog,"Decodemodel, k=%d, Tvar[%d]=V%d,Typevar=%d, Fixed=%d, Dummy=%d\n",k, k,Tvar[k],Typevar[k],Fixed[k],Dummy[k]);
                   10483:   }
                   10484:   /* Searching for doublons in the model */
                   10485:   for(k1=1; k1<= cptcovt;k1++){
                   10486:     for(k2=1; k2 <k1;k2++){
1.285     brouard  10487:       /* if((Typevar[k1]==Typevar[k2]) && (Fixed[Tvar[k1]]==Fixed[Tvar[k2]]) && (Dummy[Tvar[k1]]==Dummy[Tvar[k2]] )){ */
                   10488:       if((Typevar[k1]==Typevar[k2]) && (Fixed[k1]==Fixed[k2]) && (Dummy[k1]==Dummy[k2] )){
1.234     brouard  10489:        if((Typevar[k1] == 0 || Typevar[k1] == 1)){ /* Simple or age product */
                   10490:          if(Tvar[k1]==Tvar[k2]){
1.285     brouard  10491:            printf("Error duplication in the model=%s at positions (+) %d and %d, Tvar[%d]=V%d, Tvar[%d]=V%d, Typevar=%d, Fixed=%d, Dummy=%d\n", model, k1,k2, k1, Tvar[k1], k2, Tvar[k2],Typevar[k1],Fixed[k1],Dummy[k1]);
                   10492:            fprintf(ficlog,"Error duplication in the model=%s at positions (+) %d and %d, Tvar[%d]=V%d, Tvar[%d]=V%d, Typevar=%d, Fixed=%d, Dummy=%d\n", model, k1,k2, k1, Tvar[k1], k2, Tvar[k2],Typevar[k1],Fixed[k1],Dummy[k1]); fflush(ficlog);
1.234     brouard  10493:            return(1);
                   10494:          }
                   10495:        }else if (Typevar[k1] ==2){
                   10496:          k3=Tposprod[k1];
                   10497:          k4=Tposprod[k2];
                   10498:          if( ((Tvard[k3][1]== Tvard[k4][1])&&(Tvard[k3][2]== Tvard[k4][2])) || ((Tvard[k3][1]== Tvard[k4][2])&&(Tvard[k3][2]== Tvard[k4][1])) ){
                   10499:            printf("Error duplication in the model=%s at positions (+) %d and %d, V%d*V%d, Typevar=%d, Fixed=%d, Dummy=%d\n",model, k1,k2, Tvard[k3][1], Tvard[k3][2],Typevar[k1],Fixed[Tvar[k1]],Dummy[Tvar[k1]]);
                   10500:            fprintf(ficlog,"Error duplication in the model=%s at positions (+) %d and %d, V%d*V%d, Typevar=%d, Fixed=%d, Dummy=%d\n",model, k1,k2, Tvard[k3][1], Tvard[k3][2],Typevar[k1],Fixed[Tvar[k1]],Dummy[Tvar[k1]]); fflush(ficlog);
                   10501:            return(1);
                   10502:          }
                   10503:        }
1.227     brouard  10504:       }
                   10505:     }
1.225     brouard  10506:   }
                   10507:   printf("ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
                   10508:   fprintf(ficlog,"ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
1.234     brouard  10509:   printf("ncovf=%d, ncovv=%d, ncova=%d, nsd=%d, nsq=%d\n",ncovf,ncovv,ncova,nsd,nsq);
                   10510:   fprintf(ficlog,"ncovf=%d, ncovv=%d, ncova=%d, nsd=%d, nsq=%d\n",ncovf,ncovv,ncova,nsd, nsq);
1.137     brouard  10511:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  10512:   /*endread:*/
1.225     brouard  10513:   printf("Exiting decodemodel: ");
                   10514:   return (1);
1.136     brouard  10515: }
                   10516: 
1.169     brouard  10517: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.248     brouard  10518: {/* Check ages at death */
1.136     brouard  10519:   int i, m;
1.218     brouard  10520:   int firstone=0;
                   10521:   
1.136     brouard  10522:   for (i=1; i<=imx; i++) {
                   10523:     for(m=2; (m<= maxwav); m++) {
                   10524:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   10525:        anint[m][i]=9999;
1.216     brouard  10526:        if (s[m][i] != -2) /* Keeping initial status of unknown vital status */
                   10527:          s[m][i]=-1;
1.136     brouard  10528:       }
                   10529:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.260     brouard  10530:        *nberr = *nberr + 1;
1.218     brouard  10531:        if(firstone == 0){
                   10532:          firstone=1;
1.260     brouard  10533:        printf("Warning (#%d)! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown but status is a death state %d at wave %d. If you don't know the vital status, please enter -2. If he/she is still alive but don't know the state, please code with '-1 or '.'. Here, we do not believe in a death, skipped.\nOther similar cases in log file\n", *nberr,(int)moisdc[i],(int)andc[i],num[i],i,s[m][i],m);
1.218     brouard  10534:        }
1.262     brouard  10535:        fprintf(ficlog,"Warning (#%d)! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown but status is a death state %d at wave %d. If you don't know the vital status, please enter -2. If he/she is still alive but don't know the state, please code with '-1 or '.'. Here, we do not believe in a death, skipped.\n", *nberr,(int)moisdc[i],(int)andc[i],num[i],i,s[m][i],m);
1.260     brouard  10536:        s[m][i]=-1;  /* Droping the death status */
1.136     brouard  10537:       }
                   10538:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  10539:        (*nberr)++;
1.259     brouard  10540:        printf("Error (#%d)! Month of death of individual %ld on line %d was unknown (%2d) (year of death is %4d) and status is a death state %d at wave %d. Please impute an arbitrary (or not) month and rerun. Currently this transition to death will be skipped (status is set to -2).\nOther similar cases in log file\n", *nberr, num[i],i,(int)moisdc[i],(int)andc[i],s[m][i],m);
1.262     brouard  10541:        fprintf(ficlog,"Error (#%d)! Month of death of individual %ld on line %d was unknown (%2d) (year of death is %4d) and status is a death state %d at wave %d. Please impute an arbitrary (or not) month and rerun. Currently this transition to death will be skipped (status is set to -2).\n", *nberr, num[i],i,(int)moisdc[i],(int)andc[i],s[m][i],m);
1.259     brouard  10542:        s[m][i]=-2; /* We prefer to skip it (and to skip it in version 0.8a1 too */
1.136     brouard  10543:       }
                   10544:     }
                   10545:   }
                   10546: 
                   10547:   for (i=1; i<=imx; i++)  {
                   10548:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   10549:     for(m=firstpass; (m<= lastpass); m++){
1.214     brouard  10550:       if(s[m][i] >0  || s[m][i]==-1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5){ /* What if s[m][i]=-1 */
1.136     brouard  10551:        if (s[m][i] >= nlstate+1) {
1.169     brouard  10552:          if(agedc[i]>0){
                   10553:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  10554:              agev[m][i]=agedc[i];
1.214     brouard  10555:              /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  10556:            }else {
1.136     brouard  10557:              if ((int)andc[i]!=9999){
                   10558:                nbwarn++;
                   10559:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   10560:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   10561:                agev[m][i]=-1;
                   10562:              }
                   10563:            }
1.169     brouard  10564:          } /* agedc > 0 */
1.214     brouard  10565:        } /* end if */
1.136     brouard  10566:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   10567:                                 years but with the precision of a month */
                   10568:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   10569:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   10570:            agev[m][i]=1;
                   10571:          else if(agev[m][i] < *agemin){ 
                   10572:            *agemin=agev[m][i];
                   10573:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   10574:          }
                   10575:          else if(agev[m][i] >*agemax){
                   10576:            *agemax=agev[m][i];
1.156     brouard  10577:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  10578:          }
                   10579:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   10580:          /*     agev[m][i] = age[i]+2*m;*/
1.214     brouard  10581:        } /* en if 9*/
1.136     brouard  10582:        else { /* =9 */
1.214     brouard  10583:          /* printf("Debug num[%d]=%ld s[%d][%d]=%d\n",i,num[i], m,i, s[m][i]); */
1.136     brouard  10584:          agev[m][i]=1;
                   10585:          s[m][i]=-1;
                   10586:        }
                   10587:       }
1.214     brouard  10588:       else if(s[m][i]==0) /*= 0 Unknown */
1.136     brouard  10589:        agev[m][i]=1;
1.214     brouard  10590:       else{
                   10591:        printf("Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   10592:        fprintf(ficlog, "Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   10593:        agev[m][i]=0;
                   10594:       }
                   10595:     } /* End for lastpass */
                   10596:   }
1.136     brouard  10597:     
                   10598:   for (i=1; i<=imx; i++)  {
                   10599:     for(m=firstpass; (m<=lastpass); m++){
                   10600:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  10601:        (*nberr)++;
1.136     brouard  10602:        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);     
                   10603:        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);     
                   10604:        return 1;
                   10605:       }
                   10606:     }
                   10607:   }
                   10608: 
                   10609:   /*for (i=1; i<=imx; i++){
                   10610:   for (m=firstpass; (m<lastpass); m++){
                   10611:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   10612: }
                   10613: 
                   10614: }*/
                   10615: 
                   10616: 
1.139     brouard  10617:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   10618:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  10619: 
                   10620:   return (0);
1.164     brouard  10621:  /* endread:*/
1.136     brouard  10622:     printf("Exiting calandcheckages: ");
                   10623:     return (1);
                   10624: }
                   10625: 
1.172     brouard  10626: #if defined(_MSC_VER)
                   10627: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   10628: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   10629: //#include "stdafx.h"
                   10630: //#include <stdio.h>
                   10631: //#include <tchar.h>
                   10632: //#include <windows.h>
                   10633: //#include <iostream>
                   10634: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   10635: 
                   10636: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   10637: 
                   10638: BOOL IsWow64()
                   10639: {
                   10640:        BOOL bIsWow64 = FALSE;
                   10641: 
                   10642:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   10643:        //  (HANDLE, PBOOL);
                   10644: 
                   10645:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   10646: 
                   10647:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   10648:        const char funcName[] = "IsWow64Process";
                   10649:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   10650:                GetProcAddress(module, funcName);
                   10651: 
                   10652:        if (NULL != fnIsWow64Process)
                   10653:        {
                   10654:                if (!fnIsWow64Process(GetCurrentProcess(),
                   10655:                        &bIsWow64))
                   10656:                        //throw std::exception("Unknown error");
                   10657:                        printf("Unknown error\n");
                   10658:        }
                   10659:        return bIsWow64 != FALSE;
                   10660: }
                   10661: #endif
1.177     brouard  10662: 
1.191     brouard  10663: void syscompilerinfo(int logged)
1.292     brouard  10664: {
                   10665: #include <stdint.h>
                   10666: 
                   10667:   /* #include "syscompilerinfo.h"*/
1.185     brouard  10668:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   10669:    /* /GS /W3 /Gy
                   10670:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   10671:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   10672:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  10673:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   10674:    */ 
                   10675:    /* 64 bits */
1.185     brouard  10676:    /*
                   10677:      /GS /W3 /Gy
                   10678:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   10679:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   10680:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   10681:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   10682:    /* Optimization are useless and O3 is slower than O2 */
                   10683:    /*
                   10684:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   10685:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   10686:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   10687:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   10688:    */
1.186     brouard  10689:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  10690:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   10691:       /PDB:"visual studio
                   10692:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   10693:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   10694:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   10695:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   10696:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   10697:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   10698:       uiAccess='false'"
                   10699:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   10700:       /NOLOGO /TLBID:1
                   10701:    */
1.292     brouard  10702: 
                   10703: 
1.177     brouard  10704: #if defined __INTEL_COMPILER
1.178     brouard  10705: #if defined(__GNUC__)
                   10706:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   10707: #endif
1.177     brouard  10708: #elif defined(__GNUC__) 
1.179     brouard  10709: #ifndef  __APPLE__
1.174     brouard  10710: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  10711: #endif
1.177     brouard  10712:    struct utsname sysInfo;
1.178     brouard  10713:    int cross = CROSS;
                   10714:    if (cross){
                   10715:           printf("Cross-");
1.191     brouard  10716:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  10717:    }
1.174     brouard  10718: #endif
                   10719: 
1.191     brouard  10720:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  10721: #if defined(__clang__)
1.191     brouard  10722:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  10723: #endif
                   10724: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191     brouard  10725:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  10726: #endif
                   10727: #if defined(__GNUC__) || defined(__GNUG__)
1.191     brouard  10728:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  10729: #endif
                   10730: #if defined(__HP_cc) || defined(__HP_aCC)
1.191     brouard  10731:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  10732: #endif
                   10733: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191     brouard  10734:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  10735: #endif
                   10736: #if defined(_MSC_VER)
1.191     brouard  10737:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  10738: #endif
                   10739: #if defined(__PGI)
1.191     brouard  10740:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  10741: #endif
                   10742: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191     brouard  10743:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  10744: #endif
1.191     brouard  10745:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  10746:    
1.167     brouard  10747: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   10748: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   10749:     // Windows (x64 and x86)
1.191     brouard  10750:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  10751: #elif __unix__ // all unices, not all compilers
                   10752:     // Unix
1.191     brouard  10753:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  10754: #elif __linux__
                   10755:     // linux
1.191     brouard  10756:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  10757: #elif __APPLE__
1.174     brouard  10758:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191     brouard  10759:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  10760: #endif
                   10761: 
                   10762: /*  __MINGW32__          */
                   10763: /*  __CYGWIN__  */
                   10764: /* __MINGW64__  */
                   10765: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   10766: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   10767: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   10768: /* _WIN64  // Defined for applications for Win64. */
                   10769: /* _M_X64 // Defined for compilations that target x64 processors. */
                   10770: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  10771: 
1.167     brouard  10772: #if UINTPTR_MAX == 0xffffffff
1.191     brouard  10773:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  10774: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191     brouard  10775:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  10776: #else
1.191     brouard  10777:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  10778: #endif
                   10779: 
1.169     brouard  10780: #if defined(__GNUC__)
                   10781: # if defined(__GNUC_PATCHLEVEL__)
                   10782: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   10783:                             + __GNUC_MINOR__ * 100 \
                   10784:                             + __GNUC_PATCHLEVEL__)
                   10785: # else
                   10786: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   10787:                             + __GNUC_MINOR__ * 100)
                   10788: # endif
1.174     brouard  10789:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191     brouard  10790:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  10791: 
                   10792:    if (uname(&sysInfo) != -1) {
                   10793:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191     brouard  10794:         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  10795:    }
                   10796:    else
                   10797:       perror("uname() error");
1.179     brouard  10798:    //#ifndef __INTEL_COMPILER 
                   10799: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  10800:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191     brouard  10801:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  10802: #endif
1.169     brouard  10803: #endif
1.172     brouard  10804: 
1.286     brouard  10805:    //   void main ()
1.172     brouard  10806:    //   {
1.169     brouard  10807: #if defined(_MSC_VER)
1.174     brouard  10808:    if (IsWow64()){
1.191     brouard  10809:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
                   10810:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  10811:    }
                   10812:    else{
1.191     brouard  10813:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
                   10814:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  10815:    }
1.172     brouard  10816:    //     printf("\nPress Enter to continue...");
                   10817:    //     getchar();
                   10818:    //   }
                   10819: 
1.169     brouard  10820: #endif
                   10821:    
1.167     brouard  10822: 
1.219     brouard  10823: }
1.136     brouard  10824: 
1.219     brouard  10825: int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp){
1.288     brouard  10826:   /*--------------- Prevalence limit  (forward period or forward stable prevalence) --------------*/
1.235     brouard  10827:   int i, j, k, i1, k4=0, nres=0 ;
1.202     brouard  10828:   /* double ftolpl = 1.e-10; */
1.180     brouard  10829:   double age, agebase, agelim;
1.203     brouard  10830:   double tot;
1.180     brouard  10831: 
1.202     brouard  10832:   strcpy(filerespl,"PL_");
                   10833:   strcat(filerespl,fileresu);
                   10834:   if((ficrespl=fopen(filerespl,"w"))==NULL) {
1.288     brouard  10835:     printf("Problem with forward period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   10836:     fprintf(ficlog,"Problem with forward period (stable) prevalence resultfile: %s\n", filerespl);return 1;
1.202     brouard  10837:   }
1.288     brouard  10838:   printf("\nComputing forward period (stable) prevalence: result on file '%s' \n", filerespl);
                   10839:   fprintf(ficlog,"\nComputing forward period (stable) prevalence: result on file '%s' \n", filerespl);
1.202     brouard  10840:   pstamp(ficrespl);
1.288     brouard  10841:   fprintf(ficrespl,"# Forward period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.202     brouard  10842:   fprintf(ficrespl,"#Age ");
                   10843:   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   10844:   fprintf(ficrespl,"\n");
1.180     brouard  10845:   
1.219     brouard  10846:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
1.180     brouard  10847: 
1.219     brouard  10848:   agebase=ageminpar;
                   10849:   agelim=agemaxpar;
1.180     brouard  10850: 
1.227     brouard  10851:   /* i1=pow(2,ncoveff); */
1.234     brouard  10852:   i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
1.219     brouard  10853:   if (cptcovn < 1){i1=1;}
1.180     brouard  10854: 
1.238     brouard  10855:   for(k=1; k<=i1;k++){ /* For each combination k of dummy covariates in the model */
                   10856:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  10857:       if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10858:        continue;
1.235     brouard  10859: 
1.238     brouard  10860:       /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10861:       /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
                   10862:       //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
                   10863:       /* k=k+1; */
                   10864:       /* to clean */
                   10865:       //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   10866:       fprintf(ficrespl,"#******");
                   10867:       printf("#******");
                   10868:       fprintf(ficlog,"#******");
                   10869:       for(j=1;j<=cptcoveff ;j++) {/* all covariates */
                   10870:        fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); /* Here problem for varying dummy*/
                   10871:        printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10872:        fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10873:       }
                   10874:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   10875:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10876:        fprintf(ficrespl," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10877:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10878:       }
                   10879:       fprintf(ficrespl,"******\n");
                   10880:       printf("******\n");
                   10881:       fprintf(ficlog,"******\n");
                   10882:       if(invalidvarcomb[k]){
                   10883:        printf("\nCombination (%d) ignored because no case \n",k); 
                   10884:        fprintf(ficrespl,"#Combination (%d) ignored because no case \n",k); 
                   10885:        fprintf(ficlog,"\nCombination (%d) ignored because no case \n",k); 
                   10886:        continue;
                   10887:       }
1.219     brouard  10888: 
1.238     brouard  10889:       fprintf(ficrespl,"#Age ");
                   10890:       for(j=1;j<=cptcoveff;j++) {
                   10891:        fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10892:       }
                   10893:       for(i=1; i<=nlstate;i++) fprintf(ficrespl,"  %d-%d   ",i,i);
                   10894:       fprintf(ficrespl,"Total Years_to_converge\n");
1.227     brouard  10895:     
1.238     brouard  10896:       for (age=agebase; age<=agelim; age++){
                   10897:        /* for (age=agebase; age<=agebase; age++){ */
                   10898:        prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyearp, k, nres);
                   10899:        fprintf(ficrespl,"%.0f ",age );
                   10900:        for(j=1;j<=cptcoveff;j++)
                   10901:          fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10902:        tot=0.;
                   10903:        for(i=1; i<=nlstate;i++){
                   10904:          tot +=  prlim[i][i];
                   10905:          fprintf(ficrespl," %.5f", prlim[i][i]);
                   10906:        }
                   10907:        fprintf(ficrespl," %.3f %d\n", tot, *ncvyearp);
                   10908:       } /* Age */
                   10909:       /* was end of cptcod */
                   10910:     } /* cptcov */
                   10911:   } /* nres */
1.219     brouard  10912:   return 0;
1.180     brouard  10913: }
                   10914: 
1.218     brouard  10915: int back_prevalence_limit(double *p, double **bprlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp, double dateprev1,double dateprev2, int firstpass, int lastpass, int mobilavproj){
1.288     brouard  10916:        /*--------------- Back Prevalence limit  (backward stable prevalence) --------------*/
1.218     brouard  10917:        
                   10918:        /* Computes the back prevalence limit  for any combination      of covariate values 
                   10919:    * at any age between ageminpar and agemaxpar
                   10920:         */
1.235     brouard  10921:   int i, j, k, i1, nres=0 ;
1.217     brouard  10922:   /* double ftolpl = 1.e-10; */
                   10923:   double age, agebase, agelim;
                   10924:   double tot;
1.218     brouard  10925:   /* double ***mobaverage; */
                   10926:   /* double     **dnewm, **doldm, **dsavm;  /\* for use *\/ */
1.217     brouard  10927: 
                   10928:   strcpy(fileresplb,"PLB_");
                   10929:   strcat(fileresplb,fileresu);
                   10930:   if((ficresplb=fopen(fileresplb,"w"))==NULL) {
1.288     brouard  10931:     printf("Problem with backward prevalence resultfile: %s\n", fileresplb);return 1;
                   10932:     fprintf(ficlog,"Problem with backward prevalence resultfile: %s\n", fileresplb);return 1;
1.217     brouard  10933:   }
1.288     brouard  10934:   printf("Computing backward prevalence: result on file '%s' \n", fileresplb);
                   10935:   fprintf(ficlog,"Computing backward prevalence: result on file '%s' \n", fileresplb);
1.217     brouard  10936:   pstamp(ficresplb);
1.288     brouard  10937:   fprintf(ficresplb,"# Backward prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.217     brouard  10938:   fprintf(ficresplb,"#Age ");
                   10939:   for(i=1; i<=nlstate;i++) fprintf(ficresplb,"%d-%d ",i,i);
                   10940:   fprintf(ficresplb,"\n");
                   10941:   
1.218     brouard  10942:   
                   10943:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   10944:   
                   10945:   agebase=ageminpar;
                   10946:   agelim=agemaxpar;
                   10947:   
                   10948:   
1.227     brouard  10949:   i1=pow(2,cptcoveff);
1.218     brouard  10950:   if (cptcovn < 1){i1=1;}
1.227     brouard  10951:   
1.238     brouard  10952:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   10953:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  10954:      if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10955:        continue;
                   10956:       //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   10957:       fprintf(ficresplb,"#******");
                   10958:       printf("#******");
                   10959:       fprintf(ficlog,"#******");
                   10960:       for(j=1;j<=cptcoveff ;j++) {/* all covariates */
                   10961:        fprintf(ficresplb," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10962:        printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10963:        fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10964:       }
                   10965:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   10966:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10967:        fprintf(ficresplb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10968:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10969:       }
                   10970:       fprintf(ficresplb,"******\n");
                   10971:       printf("******\n");
                   10972:       fprintf(ficlog,"******\n");
                   10973:       if(invalidvarcomb[k]){
                   10974:        printf("\nCombination (%d) ignored because no cases \n",k); 
                   10975:        fprintf(ficresplb,"#Combination (%d) ignored because no cases \n",k); 
                   10976:        fprintf(ficlog,"\nCombination (%d) ignored because no cases \n",k); 
                   10977:        continue;
                   10978:       }
1.218     brouard  10979:     
1.238     brouard  10980:       fprintf(ficresplb,"#Age ");
                   10981:       for(j=1;j<=cptcoveff;j++) {
                   10982:        fprintf(ficresplb,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10983:       }
                   10984:       for(i=1; i<=nlstate;i++) fprintf(ficresplb,"  %d-%d   ",i,i);
                   10985:       fprintf(ficresplb,"Total Years_to_converge\n");
1.218     brouard  10986:     
                   10987:     
1.238     brouard  10988:       for (age=agebase; age<=agelim; age++){
                   10989:        /* for (age=agebase; age<=agebase; age++){ */
                   10990:        if(mobilavproj > 0){
                   10991:          /* bprevalim(bprlim, mobaverage, nlstate, p, age, ageminpar, agemaxpar, oldm, savm, doldm, dsavm, ftolpl, ncvyearp, k); */
                   10992:          /* bprevalim(bprlim, mobaverage, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.242     brouard  10993:          bprevalim(bprlim, mobaverage, nlstate, p, age, ftolpl, ncvyearp, k, nres);
1.238     brouard  10994:        }else if (mobilavproj == 0){
                   10995:          printf("There is no chance to get back prevalence limit if data aren't non zero and summing to 1, please try a non null mobil_average(=%d) parameter or mobil_average=-1 if you want to try at your own risk.\n",mobilavproj);
                   10996:          fprintf(ficlog,"There is no chance to get back prevalence limit if data aren't non zero and summing to 1, please try a non null mobil_average(=%d) parameter or mobil_average=-1 if you want to try at your own risk.\n",mobilavproj);
                   10997:          exit(1);
                   10998:        }else{
                   10999:          /* bprevalim(bprlim, probs, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.242     brouard  11000:          bprevalim(bprlim, probs, nlstate, p, age, ftolpl, ncvyearp, k,nres);
1.266     brouard  11001:          /* printf("TOTOT\n"); */
                   11002:           /* exit(1); */
1.238     brouard  11003:        }
                   11004:        fprintf(ficresplb,"%.0f ",age );
                   11005:        for(j=1;j<=cptcoveff;j++)
                   11006:          fprintf(ficresplb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   11007:        tot=0.;
                   11008:        for(i=1; i<=nlstate;i++){
                   11009:          tot +=  bprlim[i][i];
                   11010:          fprintf(ficresplb," %.5f", bprlim[i][i]);
                   11011:        }
                   11012:        fprintf(ficresplb," %.3f %d\n", tot, *ncvyearp);
                   11013:       } /* Age */
                   11014:       /* was end of cptcod */
1.255     brouard  11015:       /*fprintf(ficresplb,"\n");*/ /* Seems to be necessary for gnuplot only if two result lines and no covariate. */
1.238     brouard  11016:     } /* end of any combination */
                   11017:   } /* end of nres */  
1.218     brouard  11018:   /* hBijx(p, bage, fage); */
                   11019:   /* fclose(ficrespijb); */
                   11020:   
                   11021:   return 0;
1.217     brouard  11022: }
1.218     brouard  11023:  
1.180     brouard  11024: int hPijx(double *p, int bage, int fage){
                   11025:     /*------------- h Pij x at various ages ------------*/
                   11026: 
                   11027:   int stepsize;
                   11028:   int agelim;
                   11029:   int hstepm;
                   11030:   int nhstepm;
1.235     brouard  11031:   int h, i, i1, j, k, k4, nres=0;
1.180     brouard  11032: 
                   11033:   double agedeb;
                   11034:   double ***p3mat;
                   11035: 
1.201     brouard  11036:     strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
1.180     brouard  11037:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   11038:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   11039:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   11040:     }
                   11041:     printf("Computing pij: result on file '%s' \n", filerespij);
                   11042:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   11043:   
                   11044:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   11045:     /*if (stepm<=24) stepsize=2;*/
                   11046: 
                   11047:     agelim=AGESUP;
                   11048:     hstepm=stepsize*YEARM; /* Every year of age */
                   11049:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
1.218     brouard  11050:                
1.180     brouard  11051:     /* hstepm=1;   aff par mois*/
                   11052:     pstamp(ficrespij);
                   11053:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
1.227     brouard  11054:     i1= pow(2,cptcoveff);
1.218     brouard  11055:                /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   11056:                /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   11057:                /*      k=k+1;  */
1.235     brouard  11058:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   11059:     for(k=1; k<=i1;k++){
1.253     brouard  11060:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  11061:        continue;
1.183     brouard  11062:       fprintf(ficrespij,"\n#****** ");
1.227     brouard  11063:       for(j=1;j<=cptcoveff;j++) 
1.198     brouard  11064:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  11065:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   11066:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   11067:        fprintf(ficrespij," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   11068:       }
1.183     brouard  11069:       fprintf(ficrespij,"******\n");
                   11070:       
                   11071:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   11072:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   11073:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   11074:        
                   11075:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  11076:        
1.183     brouard  11077:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   11078:        oldm=oldms;savm=savms;
1.235     brouard  11079:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k, nres);  
1.183     brouard  11080:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   11081:        for(i=1; i<=nlstate;i++)
                   11082:          for(j=1; j<=nlstate+ndeath;j++)
                   11083:            fprintf(ficrespij," %1d-%1d",i,j);
                   11084:        fprintf(ficrespij,"\n");
                   11085:        for (h=0; h<=nhstepm; h++){
                   11086:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   11087:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  11088:          for(i=1; i<=nlstate;i++)
                   11089:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  11090:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  11091:          fprintf(ficrespij,"\n");
                   11092:        }
1.183     brouard  11093:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   11094:        fprintf(ficrespij,"\n");
                   11095:       }
1.180     brouard  11096:       /*}*/
                   11097:     }
1.218     brouard  11098:     return 0;
1.180     brouard  11099: }
1.218     brouard  11100:  
                   11101:  int hBijx(double *p, int bage, int fage, double ***prevacurrent){
1.217     brouard  11102:     /*------------- h Bij x at various ages ------------*/
                   11103: 
                   11104:   int stepsize;
1.218     brouard  11105:   /* int agelim; */
                   11106:        int ageminl;
1.217     brouard  11107:   int hstepm;
                   11108:   int nhstepm;
1.238     brouard  11109:   int h, i, i1, j, k, nres;
1.218     brouard  11110:        
1.217     brouard  11111:   double agedeb;
                   11112:   double ***p3mat;
1.218     brouard  11113:        
                   11114:   strcpy(filerespijb,"PIJB_");  strcat(filerespijb,fileresu);
                   11115:   if((ficrespijb=fopen(filerespijb,"w"))==NULL) {
                   11116:     printf("Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   11117:     fprintf(ficlog,"Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   11118:   }
                   11119:   printf("Computing pij back: result on file '%s' \n", filerespijb);
                   11120:   fprintf(ficlog,"Computing pij back: result on file '%s' \n", filerespijb);
                   11121:   
                   11122:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   11123:   /*if (stepm<=24) stepsize=2;*/
1.217     brouard  11124:   
1.218     brouard  11125:   /* agelim=AGESUP; */
1.289     brouard  11126:   ageminl=AGEINF; /* was 30 */
1.218     brouard  11127:   hstepm=stepsize*YEARM; /* Every year of age */
                   11128:   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
                   11129:   
                   11130:   /* hstepm=1;   aff par mois*/
                   11131:   pstamp(ficrespijb);
1.255     brouard  11132:   fprintf(ficrespijb,"#****** h Bij x Back probability to be in state i at age x-h being in j at x: B1j+B2j+...=1 ");
1.227     brouard  11133:   i1= pow(2,cptcoveff);
1.218     brouard  11134:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   11135:   /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   11136:   /*   k=k+1;  */
1.238     brouard  11137:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   11138:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  11139:       if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  11140:        continue;
                   11141:       fprintf(ficrespijb,"\n#****** ");
                   11142:       for(j=1;j<=cptcoveff;j++)
                   11143:        fprintf(ficrespijb,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   11144:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   11145:        fprintf(ficrespijb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   11146:       }
                   11147:       fprintf(ficrespijb,"******\n");
1.264     brouard  11148:       if(invalidvarcomb[k]){  /* Is it necessary here? */
1.238     brouard  11149:        fprintf(ficrespijb,"\n#Combination (%d) ignored because no cases \n",k); 
                   11150:        continue;
                   11151:       }
                   11152:       
                   11153:       /* for (agedeb=fage; agedeb>=bage; agedeb--){ /\* If stepm=6 months *\/ */
                   11154:       for (agedeb=bage; agedeb<=fage; agedeb++){ /* If stepm=6 months and estepm=24 (2 years) */
                   11155:        /* nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /\* Typically 20 years = 20*12/6=40 *\/ */
1.297     brouard  11156:        nhstepm=(int) rint((agedeb-ageminl)*YEARM/stepm+0.1)-1; /* Typically 20 years = 20*12/6=40 or 55*12/24=27.5-1.1=>27 */
                   11157:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10, because estepm=24 stepm=6 => hstepm=24/6=4 or 28*/
1.238     brouard  11158:        
                   11159:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
                   11160:        
1.266     brouard  11161:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); /* We can't have it at an upper level because of nhstepm */
                   11162:        /* and memory limitations if stepm is small */
                   11163: 
1.238     brouard  11164:        /* oldm=oldms;savm=savms; */
                   11165:        /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
1.267     brouard  11166:        hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm, k, nres);
1.238     brouard  11167:        /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm, dnewm, doldm, dsavm, k); */
1.255     brouard  11168:        fprintf(ficrespijb,"# Cov Agex agex-h hbijx with i,j=");
1.217     brouard  11169:        for(i=1; i<=nlstate;i++)
                   11170:          for(j=1; j<=nlstate+ndeath;j++)
1.238     brouard  11171:            fprintf(ficrespijb," %1d-%1d",i,j);
1.217     brouard  11172:        fprintf(ficrespijb,"\n");
1.238     brouard  11173:        for (h=0; h<=nhstepm; h++){
                   11174:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   11175:          fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb - h*hstepm/YEARM*stepm );
                   11176:          /* fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm ); */
                   11177:          for(i=1; i<=nlstate;i++)
                   11178:            for(j=1; j<=nlstate+ndeath;j++)
                   11179:              fprintf(ficrespijb," %.5f", p3mat[i][j][h]);
                   11180:          fprintf(ficrespijb,"\n");
                   11181:        }
                   11182:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   11183:        fprintf(ficrespijb,"\n");
                   11184:       } /* end age deb */
                   11185:     } /* end combination */
                   11186:   } /* end nres */
1.218     brouard  11187:   return 0;
                   11188:  } /*  hBijx */
1.217     brouard  11189: 
1.180     brouard  11190: 
1.136     brouard  11191: /***********************************************/
                   11192: /**************** Main Program *****************/
                   11193: /***********************************************/
                   11194: 
                   11195: int main(int argc, char *argv[])
                   11196: {
                   11197: #ifdef GSL
                   11198:   const gsl_multimin_fminimizer_type *T;
                   11199:   size_t iteri = 0, it;
                   11200:   int rval = GSL_CONTINUE;
                   11201:   int status = GSL_SUCCESS;
                   11202:   double ssval;
                   11203: #endif
                   11204:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.290     brouard  11205:   int i,j, k, iter=0,m,size=100, cptcod; /* Suppressing because nobs */
                   11206:   /* int i,j, k, n=MAXN,iter=0,m,size=100, cptcod; */
1.209     brouard  11207:   int ncvyear=0; /* Number of years needed for the period prevalence to converge */
1.164     brouard  11208:   int jj, ll, li, lj, lk;
1.136     brouard  11209:   int numlinepar=0; /* Current linenumber of parameter file */
1.197     brouard  11210:   int num_filled;
1.136     brouard  11211:   int itimes;
                   11212:   int NDIM=2;
                   11213:   int vpopbased=0;
1.235     brouard  11214:   int nres=0;
1.258     brouard  11215:   int endishere=0;
1.277     brouard  11216:   int noffset=0;
1.274     brouard  11217:   int ncurrv=0; /* Temporary variable */
                   11218:   
1.164     brouard  11219:   char ca[32], cb[32];
1.136     brouard  11220:   /*  FILE *fichtm; *//* Html File */
                   11221:   /* FILE *ficgp;*/ /*Gnuplot File */
                   11222:   struct stat info;
1.191     brouard  11223:   double agedeb=0.;
1.194     brouard  11224: 
                   11225:   double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
1.219     brouard  11226:   double ageminout=-AGEOVERFLOW,agemaxout=AGEOVERFLOW; /* Smaller Age range redefined after movingaverage */
1.136     brouard  11227: 
1.165     brouard  11228:   double fret;
1.191     brouard  11229:   double dum=0.; /* Dummy variable */
1.136     brouard  11230:   double ***p3mat;
1.218     brouard  11231:   /* double ***mobaverage; */
1.319     brouard  11232:   double wald;
1.164     brouard  11233: 
                   11234:   char line[MAXLINE];
1.197     brouard  11235:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
                   11236: 
1.234     brouard  11237:   char  modeltemp[MAXLINE];
1.230     brouard  11238:   char resultline[MAXLINE];
                   11239:   
1.136     brouard  11240:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  11241:   char *tok, *val; /* pathtot */
1.290     brouard  11242:   int firstobs=1, lastobs=10; /* nobs = lastobs-firstobs declared globally ;*/
1.195     brouard  11243:   int c,  h , cpt, c2;
1.191     brouard  11244:   int jl=0;
                   11245:   int i1, j1, jk, stepsize=0;
1.194     brouard  11246:   int count=0;
                   11247: 
1.164     brouard  11248:   int *tab; 
1.136     brouard  11249:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
1.296     brouard  11250:   /* double anprojd, mprojd, jprojd; /\* For eventual projections *\/ */
                   11251:   /* double anprojf, mprojf, jprojf; */
                   11252:   /* double jintmean,mintmean,aintmean;   */
                   11253:   int prvforecast = 0; /* Might be 1 (date of beginning of projection is a choice or 2 is the dateintmean */
                   11254:   int prvbackcast = 0; /* Might be 1 (date of beginning of projection is a choice or 2 is the dateintmean */
                   11255:   double yrfproj= 10.0; /* Number of years of forward projections */
                   11256:   double yrbproj= 10.0; /* Number of years of backward projections */
                   11257:   int prevbcast=0; /* defined as global for mlikeli and mle, replacing backcast */
1.136     brouard  11258:   int mobilav=0,popforecast=0;
1.191     brouard  11259:   int hstepm=0, nhstepm=0;
1.136     brouard  11260:   int agemortsup;
                   11261:   float  sumlpop=0.;
                   11262:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   11263:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   11264: 
1.191     brouard  11265:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  11266:   double ftolpl=FTOL;
                   11267:   double **prlim;
1.217     brouard  11268:   double **bprlim;
1.317     brouard  11269:   double ***param; /* Matrix of parameters, param[i][j][k] param=ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel) 
                   11270:                     state of origin, state of destination including death, for each covariate: constante, age, and V1 V2 etc. */
1.251     brouard  11271:   double ***paramstart; /* Matrix of starting parameter values */
                   11272:   double  *p, *pstart; /* p=param[1][1] pstart is for starting values guessed by freqsummary */
1.136     brouard  11273:   double **matcov; /* Matrix of covariance */
1.203     brouard  11274:   double **hess; /* Hessian matrix */
1.136     brouard  11275:   double ***delti3; /* Scale */
                   11276:   double *delti; /* Scale */
                   11277:   double ***eij, ***vareij;
                   11278:   double **varpl; /* Variances of prevalence limits by age */
1.269     brouard  11279: 
1.136     brouard  11280:   double *epj, vepp;
1.164     brouard  11281: 
1.273     brouard  11282:   double dateprev1, dateprev2;
1.296     brouard  11283:   double jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000, dateproj1=0, dateproj2=0, dateprojd=0, dateprojf=0;
                   11284:   double jback1=1,mback1=1,anback1=2000,jback2=1,mback2=1,anback2=2000, dateback1=0, dateback2=0, datebackd=0, datebackf=0;
                   11285: 
1.217     brouard  11286: 
1.136     brouard  11287:   double **ximort;
1.145     brouard  11288:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  11289:   int *dcwave;
                   11290: 
1.164     brouard  11291:   char z[1]="c";
1.136     brouard  11292: 
                   11293:   /*char  *strt;*/
                   11294:   char strtend[80];
1.126     brouard  11295: 
1.164     brouard  11296: 
1.126     brouard  11297: /*   setlocale (LC_ALL, ""); */
                   11298: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   11299: /*   textdomain (PACKAGE); */
                   11300: /*   setlocale (LC_CTYPE, ""); */
                   11301: /*   setlocale (LC_MESSAGES, ""); */
                   11302: 
                   11303:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  11304:   rstart_time = time(NULL);  
                   11305:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   11306:   start_time = *localtime(&rstart_time);
1.126     brouard  11307:   curr_time=start_time;
1.157     brouard  11308:   /*tml = *localtime(&start_time.tm_sec);*/
                   11309:   /* strcpy(strstart,asctime(&tml)); */
                   11310:   strcpy(strstart,asctime(&start_time));
1.126     brouard  11311: 
                   11312: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  11313: /*  tp.tm_sec = tp.tm_sec +86400; */
                   11314: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  11315: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   11316: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   11317: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  11318: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  11319: /*   strt=asctime(&tmg); */
                   11320: /*   printf("Time(after) =%s",strstart);  */
                   11321: /*  (void) time (&time_value);
                   11322: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   11323: *  tm = *localtime(&time_value);
                   11324: *  strstart=asctime(&tm);
                   11325: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   11326: */
                   11327: 
                   11328:   nberr=0; /* Number of errors and warnings */
                   11329:   nbwarn=0;
1.184     brouard  11330: #ifdef WIN32
                   11331:   _getcwd(pathcd, size);
                   11332: #else
1.126     brouard  11333:   getcwd(pathcd, size);
1.184     brouard  11334: #endif
1.191     brouard  11335:   syscompilerinfo(0);
1.196     brouard  11336:   printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
1.126     brouard  11337:   if(argc <=1){
                   11338:     printf("\nEnter the parameter file name: ");
1.205     brouard  11339:     if(!fgets(pathr,FILENAMELENGTH,stdin)){
                   11340:       printf("ERROR Empty parameter file name\n");
                   11341:       goto end;
                   11342:     }
1.126     brouard  11343:     i=strlen(pathr);
                   11344:     if(pathr[i-1]=='\n')
                   11345:       pathr[i-1]='\0';
1.156     brouard  11346:     i=strlen(pathr);
1.205     brouard  11347:     if(i >= 1 && pathr[i-1]==' ') {/* This may happen when dragging on oS/X! */
1.156     brouard  11348:       pathr[i-1]='\0';
1.205     brouard  11349:     }
                   11350:     i=strlen(pathr);
                   11351:     if( i==0 ){
                   11352:       printf("ERROR Empty parameter file name\n");
                   11353:       goto end;
                   11354:     }
                   11355:     for (tok = pathr; tok != NULL; ){
1.126     brouard  11356:       printf("Pathr |%s|\n",pathr);
                   11357:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   11358:       printf("val= |%s| pathr=%s\n",val,pathr);
                   11359:       strcpy (pathtot, val);
                   11360:       if(pathr[0] == '\0') break; /* Dirty */
                   11361:     }
                   11362:   }
1.281     brouard  11363:   else if (argc<=2){
                   11364:     strcpy(pathtot,argv[1]);
                   11365:   }
1.126     brouard  11366:   else{
                   11367:     strcpy(pathtot,argv[1]);
1.281     brouard  11368:     strcpy(z,argv[2]);
                   11369:     printf("\nargv[2]=%s z=%c\n",argv[2],z[0]);
1.126     brouard  11370:   }
                   11371:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   11372:   /*cygwin_split_path(pathtot,path,optionfile);
                   11373:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   11374:   /* cutv(path,optionfile,pathtot,'\\');*/
                   11375: 
                   11376:   /* Split argv[0], imach program to get pathimach */
                   11377:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   11378:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   11379:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   11380:  /*   strcpy(pathimach,argv[0]); */
                   11381:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   11382:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   11383:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  11384: #ifdef WIN32
                   11385:   _chdir(path); /* Can be a relative path */
                   11386:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   11387: #else
1.126     brouard  11388:   chdir(path); /* Can be a relative path */
1.184     brouard  11389:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   11390: #endif
                   11391:   printf("Current directory %s!\n",pathcd);
1.126     brouard  11392:   strcpy(command,"mkdir ");
                   11393:   strcat(command,optionfilefiname);
                   11394:   if((outcmd=system(command)) != 0){
1.169     brouard  11395:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  11396:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   11397:     /* fclose(ficlog); */
                   11398: /*     exit(1); */
                   11399:   }
                   11400: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   11401: /*     perror("mkdir"); */
                   11402: /*   } */
                   11403: 
                   11404:   /*-------- arguments in the command line --------*/
                   11405: 
1.186     brouard  11406:   /* Main Log file */
1.126     brouard  11407:   strcat(filelog, optionfilefiname);
                   11408:   strcat(filelog,".log");    /* */
                   11409:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   11410:     printf("Problem with logfile %s\n",filelog);
                   11411:     goto end;
                   11412:   }
                   11413:   fprintf(ficlog,"Log filename:%s\n",filelog);
1.197     brouard  11414:   fprintf(ficlog,"Version %s %s",version,fullversion);
1.126     brouard  11415:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   11416:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   11417:  path=%s \n\
                   11418:  optionfile=%s\n\
                   11419:  optionfilext=%s\n\
1.156     brouard  11420:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  11421: 
1.197     brouard  11422:   syscompilerinfo(1);
1.167     brouard  11423: 
1.126     brouard  11424:   printf("Local time (at start):%s",strstart);
                   11425:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   11426:   fflush(ficlog);
                   11427: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  11428: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  11429: 
                   11430:   /* */
                   11431:   strcpy(fileres,"r");
                   11432:   strcat(fileres, optionfilefiname);
1.201     brouard  11433:   strcat(fileresu, optionfilefiname); /* Without r in front */
1.126     brouard  11434:   strcat(fileres,".txt");    /* Other files have txt extension */
1.201     brouard  11435:   strcat(fileresu,".txt");    /* Other files have txt extension */
1.126     brouard  11436: 
1.186     brouard  11437:   /* Main ---------arguments file --------*/
1.126     brouard  11438: 
                   11439:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  11440:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   11441:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  11442:     fflush(ficlog);
1.149     brouard  11443:     /* goto end; */
                   11444:     exit(70); 
1.126     brouard  11445:   }
                   11446: 
                   11447:   strcpy(filereso,"o");
1.201     brouard  11448:   strcat(filereso,fileresu);
1.126     brouard  11449:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   11450:     printf("Problem with Output resultfile: %s\n", filereso);
                   11451:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   11452:     fflush(ficlog);
                   11453:     goto end;
                   11454:   }
1.278     brouard  11455:       /*-------- Rewriting parameter file ----------*/
                   11456:   strcpy(rfileres,"r");    /* "Rparameterfile */
                   11457:   strcat(rfileres,optionfilefiname);    /* Parameter file first name */
                   11458:   strcat(rfileres,".");    /* */
                   11459:   strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   11460:   if((ficres =fopen(rfileres,"w"))==NULL) {
                   11461:     printf("Problem writing new parameter file: %s\n", rfileres);goto end;
                   11462:     fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
                   11463:     fflush(ficlog);
                   11464:     goto end;
                   11465:   }
                   11466:   fprintf(ficres,"#IMaCh %s\n",version);
1.126     brouard  11467: 
1.278     brouard  11468:                                      
1.126     brouard  11469:   /* Reads comments: lines beginning with '#' */
                   11470:   numlinepar=0;
1.277     brouard  11471:   /* Is it a BOM UTF-8 Windows file? */
                   11472:   /* First parameter line */
1.197     brouard  11473:   while(fgets(line, MAXLINE, ficpar)) {
1.277     brouard  11474:     noffset=0;
                   11475:     if( line[0] == (char)0xEF && line[1] == (char)0xBB) /* EF BB BF */
                   11476:     {
                   11477:       noffset=noffset+3;
                   11478:       printf("# File is an UTF8 Bom.\n"); // 0xBF
                   11479:     }
1.302     brouard  11480: /*    else if( line[0] == (char)0xFE && line[1] == (char)0xFF)*/
                   11481:     else if( line[0] == (char)0xFF && line[1] == (char)0xFE)
1.277     brouard  11482:     {
                   11483:       noffset=noffset+2;
                   11484:       printf("# File is an UTF16BE BOM file\n");
                   11485:     }
                   11486:     else if( line[0] == 0 && line[1] == 0)
                   11487:     {
                   11488:       if( line[2] == (char)0xFE && line[3] == (char)0xFF){
                   11489:        noffset=noffset+4;
                   11490:        printf("# File is an UTF16BE BOM file\n");
                   11491:       }
                   11492:     } else{
                   11493:       ;/*printf(" Not a BOM file\n");*/
                   11494:     }
                   11495:   
1.197     brouard  11496:     /* If line starts with a # it is a comment */
1.277     brouard  11497:     if (line[noffset] == '#') {
1.197     brouard  11498:       numlinepar++;
                   11499:       fputs(line,stdout);
                   11500:       fputs(line,ficparo);
1.278     brouard  11501:       fputs(line,ficres);
1.197     brouard  11502:       fputs(line,ficlog);
                   11503:       continue;
                   11504:     }else
                   11505:       break;
                   11506:   }
                   11507:   if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                   11508:                        title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
                   11509:     if (num_filled != 5) {
                   11510:       printf("Should be 5 parameters\n");
1.283     brouard  11511:       fprintf(ficlog,"Should be 5 parameters\n");
1.197     brouard  11512:     }
1.126     brouard  11513:     numlinepar++;
1.197     brouard  11514:     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
1.283     brouard  11515:     fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   11516:     fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   11517:     fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
1.197     brouard  11518:   }
                   11519:   /* Second parameter line */
                   11520:   while(fgets(line, MAXLINE, ficpar)) {
1.283     brouard  11521:     /* while(fscanf(ficpar,"%[^\n]", line)) { */
                   11522:     /* If line starts with a # it is a comment. Strangely fgets reads the EOL and fputs doesn't */
1.197     brouard  11523:     if (line[0] == '#') {
                   11524:       numlinepar++;
1.283     brouard  11525:       printf("%s",line);
                   11526:       fprintf(ficres,"%s",line);
                   11527:       fprintf(ficparo,"%s",line);
                   11528:       fprintf(ficlog,"%s",line);
1.197     brouard  11529:       continue;
                   11530:     }else
                   11531:       break;
                   11532:   }
1.223     brouard  11533:   if((num_filled=sscanf(line,"ftol=%lf stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n", \
                   11534:                        &ftol, &stepm, &ncovcol, &nqv, &ntv, &nqtv, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
                   11535:     if (num_filled != 11) {
                   11536:       printf("Not 11 parameters, for example:ftol=1.e-8 stepm=12 ncovcol=2 nqv=1 ntv=2 nqtv=1  nlstate=2 ndeath=1 maxwav=3 mle=1 weight=1\n");
1.209     brouard  11537:       printf("but line=%s\n",line);
1.283     brouard  11538:       fprintf(ficlog,"Not 11 parameters, for example:ftol=1.e-8 stepm=12 ncovcol=2 nqv=1 ntv=2 nqtv=1  nlstate=2 ndeath=1 maxwav=3 mle=1 weight=1\n");
                   11539:       fprintf(ficlog,"but line=%s\n",line);
1.197     brouard  11540:     }
1.286     brouard  11541:     if( lastpass > maxwav){
                   11542:       printf("Error (lastpass = %d) > (maxwav = %d)\n",lastpass, maxwav);
                   11543:       fprintf(ficlog,"Error (lastpass = %d) > (maxwav = %d)\n",lastpass, maxwav);
                   11544:       fflush(ficlog);
                   11545:       goto end;
                   11546:     }
                   11547:       printf("ftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n",ftol, stepm, ncovcol, nqv, ntv, nqtv, nlstate, ndeath, maxwav, mle, weightopt);
1.283     brouard  11548:     fprintf(ficparo,"ftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n",ftol, stepm, ncovcol, nqv, ntv, nqtv, nlstate, ndeath, maxwav, mle, weightopt);
1.286     brouard  11549:     fprintf(ficres,"ftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n",ftol, stepm, ncovcol, nqv, ntv, nqtv, nlstate, ndeath, maxwav, 0, weightopt);
1.283     brouard  11550:     fprintf(ficlog,"ftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n",ftol, stepm, ncovcol, nqv, ntv, nqtv, nlstate, ndeath, maxwav, mle, weightopt);
1.126     brouard  11551:   }
1.203     brouard  11552:   /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
1.209     brouard  11553:   /*ftolpl=6.e-4; *//* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
1.197     brouard  11554:   /* Third parameter line */
                   11555:   while(fgets(line, MAXLINE, ficpar)) {
                   11556:     /* If line starts with a # it is a comment */
                   11557:     if (line[0] == '#') {
                   11558:       numlinepar++;
1.283     brouard  11559:       printf("%s",line);
                   11560:       fprintf(ficres,"%s",line);
                   11561:       fprintf(ficparo,"%s",line);
                   11562:       fprintf(ficlog,"%s",line);
1.197     brouard  11563:       continue;
                   11564:     }else
                   11565:       break;
                   11566:   }
1.201     brouard  11567:   if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){
1.279     brouard  11568:     if (num_filled != 1){
1.302     brouard  11569:       printf("ERROR %d: Model should be at minimum 'model=1+age+' instead of '%s'\n",num_filled, line);
                   11570:       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age+' instead of '%s'\n",num_filled, line);
1.197     brouard  11571:       model[0]='\0';
                   11572:       goto end;
                   11573:     }
                   11574:     else{
                   11575:       if (model[0]=='+'){
                   11576:        for(i=1; i<=strlen(model);i++)
                   11577:          modeltemp[i-1]=model[i];
1.201     brouard  11578:        strcpy(model,modeltemp); 
1.197     brouard  11579:       }
                   11580:     }
1.199     brouard  11581:     /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
1.203     brouard  11582:     printf("model=1+age+%s\n",model);fflush(stdout);
1.283     brouard  11583:     fprintf(ficparo,"model=1+age+%s\n",model);fflush(stdout);
                   11584:     fprintf(ficres,"model=1+age+%s\n",model);fflush(stdout);
                   11585:     fprintf(ficlog,"model=1+age+%s\n",model);fflush(stdout);
1.197     brouard  11586:   }
                   11587:   /* 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); */
                   11588:   /* numlinepar=numlinepar+3; /\* In general *\/ */
                   11589:   /* 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); */
1.283     brouard  11590:   /* fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol, nqv, ntv, nqtv, nlstate,ndeath,maxwav, mle, weightopt,model); */
                   11591:   /* fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol, nqv, ntv, nqtv, nlstate,ndeath,maxwav, mle, weightopt,model); */
1.126     brouard  11592:   fflush(ficlog);
1.190     brouard  11593:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   11594:   if(model[0]=='#'){
1.279     brouard  11595:     printf("Error in 'model' line: model should start with 'model=1+age+' and end without space \n \
                   11596:  'model=1+age+' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age' or \n \
                   11597:  'model=1+age+V1+V2' or 'model=1+age+V1+V2+V1*V2' etc. \n");           \
1.187     brouard  11598:     if(mle != -1){
1.279     brouard  11599:       printf("Fix the model line and run imach with mle=-1 to get a correct template of the parameter vectors and subdiagonal covariance matrix.\n");
1.187     brouard  11600:       exit(1);
                   11601:     }
                   11602:   }
1.126     brouard  11603:   while((c=getc(ficpar))=='#' && c!= EOF){
                   11604:     ungetc(c,ficpar);
                   11605:     fgets(line, MAXLINE, ficpar);
                   11606:     numlinepar++;
1.195     brouard  11607:     if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
                   11608:       z[0]=line[1];
                   11609:     }
                   11610:     /* printf("****line [1] = %c \n",line[1]); */
1.141     brouard  11611:     fputs(line, stdout);
                   11612:     //puts(line);
1.126     brouard  11613:     fputs(line,ficparo);
                   11614:     fputs(line,ficlog);
                   11615:   }
                   11616:   ungetc(c,ficpar);
                   11617: 
                   11618:    
1.290     brouard  11619:   covar=matrix(0,NCOVMAX,firstobs,lastobs);  /**< used in readdata */
                   11620:   if(nqv>=1)coqvar=matrix(1,nqv,firstobs,lastobs);  /**< Fixed quantitative covariate */
                   11621:   if(nqtv>=1)cotqvar=ma3x(1,maxwav,1,nqtv,firstobs,lastobs);  /**< Time varying quantitative covariate */
                   11622:   if(ntv+nqtv>=1)cotvar=ma3x(1,maxwav,1,ntv+nqtv,firstobs,lastobs);  /**< Time varying covariate (dummy and quantitative)*/
1.136     brouard  11623:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   11624:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   11625:      v1+v2*age+v2*v3 makes cptcovn = 3
                   11626:   */
                   11627:   if (strlen(model)>1) 
1.187     brouard  11628:     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  11629:   else
1.187     brouard  11630:     ncovmodel=2; /* Constant and age */
1.133     brouard  11631:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   11632:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  11633:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   11634:     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);
                   11635:     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);
                   11636:     fflush(stdout);
                   11637:     fclose (ficlog);
                   11638:     goto end;
                   11639:   }
1.126     brouard  11640:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   11641:   delti=delti3[1][1];
                   11642:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   11643:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
1.247     brouard  11644: /* We could also provide initial parameters values giving by simple logistic regression 
                   11645:  * only one way, that is without matrix product. We will have nlstate maximizations */
                   11646:       /* for(i=1;i<nlstate;i++){ */
                   11647:       /*       /\*reducing xi for 1 to npar to 1 to ncovmodel; *\/ */
                   11648:       /*    mlikeli(ficres,p, ncovmodel, ncovmodel, nlstate, ftol, funcnoprod); */
                   11649:       /* } */
1.126     brouard  11650:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191     brouard  11651:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
                   11652:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  11653:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   11654:     fclose (ficparo);
                   11655:     fclose (ficlog);
                   11656:     goto end;
                   11657:     exit(0);
1.220     brouard  11658:   }  else if(mle==-5) { /* Main Wizard */
1.126     brouard  11659:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.192     brouard  11660:     printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   11661:     fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  11662:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   11663:     matcov=matrix(1,npar,1,npar);
1.203     brouard  11664:     hess=matrix(1,npar,1,npar);
1.220     brouard  11665:   }  else{ /* Begin of mle != -1 or -5 */
1.145     brouard  11666:     /* Read guessed parameters */
1.126     brouard  11667:     /* Reads comments: lines beginning with '#' */
                   11668:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11669:       ungetc(c,ficpar);
                   11670:       fgets(line, MAXLINE, ficpar);
                   11671:       numlinepar++;
1.141     brouard  11672:       fputs(line,stdout);
1.126     brouard  11673:       fputs(line,ficparo);
                   11674:       fputs(line,ficlog);
                   11675:     }
                   11676:     ungetc(c,ficpar);
                   11677:     
                   11678:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
1.251     brouard  11679:     paramstart= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
1.126     brouard  11680:     for(i=1; i <=nlstate; i++){
1.234     brouard  11681:       j=0;
1.126     brouard  11682:       for(jj=1; jj <=nlstate+ndeath; jj++){
1.234     brouard  11683:        if(jj==i) continue;
                   11684:        j++;
1.292     brouard  11685:        while((c=getc(ficpar))=='#' && c!= EOF){
                   11686:          ungetc(c,ficpar);
                   11687:          fgets(line, MAXLINE, ficpar);
                   11688:          numlinepar++;
                   11689:          fputs(line,stdout);
                   11690:          fputs(line,ficparo);
                   11691:          fputs(line,ficlog);
                   11692:        }
                   11693:        ungetc(c,ficpar);
1.234     brouard  11694:        fscanf(ficpar,"%1d%1d",&i1,&j1);
                   11695:        if ((i1 != i) || (j1 != jj)){
                   11696:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
1.126     brouard  11697: It might be a problem of design; if ncovcol and the model are correct\n \
                   11698: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
1.234     brouard  11699:          exit(1);
                   11700:        }
                   11701:        fprintf(ficparo,"%1d%1d",i1,j1);
                   11702:        if(mle==1)
                   11703:          printf("%1d%1d",i,jj);
                   11704:        fprintf(ficlog,"%1d%1d",i,jj);
                   11705:        for(k=1; k<=ncovmodel;k++){
                   11706:          fscanf(ficpar," %lf",&param[i][j][k]);
                   11707:          if(mle==1){
                   11708:            printf(" %lf",param[i][j][k]);
                   11709:            fprintf(ficlog," %lf",param[i][j][k]);
                   11710:          }
                   11711:          else
                   11712:            fprintf(ficlog," %lf",param[i][j][k]);
                   11713:          fprintf(ficparo," %lf",param[i][j][k]);
                   11714:        }
                   11715:        fscanf(ficpar,"\n");
                   11716:        numlinepar++;
                   11717:        if(mle==1)
                   11718:          printf("\n");
                   11719:        fprintf(ficlog,"\n");
                   11720:        fprintf(ficparo,"\n");
1.126     brouard  11721:       }
                   11722:     }  
                   11723:     fflush(ficlog);
1.234     brouard  11724:     
1.251     brouard  11725:     /* Reads parameters values */
1.126     brouard  11726:     p=param[1][1];
1.251     brouard  11727:     pstart=paramstart[1][1];
1.126     brouard  11728:     
                   11729:     /* Reads comments: lines beginning with '#' */
                   11730:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11731:       ungetc(c,ficpar);
                   11732:       fgets(line, MAXLINE, ficpar);
                   11733:       numlinepar++;
1.141     brouard  11734:       fputs(line,stdout);
1.126     brouard  11735:       fputs(line,ficparo);
                   11736:       fputs(line,ficlog);
                   11737:     }
                   11738:     ungetc(c,ficpar);
                   11739: 
                   11740:     for(i=1; i <=nlstate; i++){
                   11741:       for(j=1; j <=nlstate+ndeath-1; j++){
1.234     brouard  11742:        fscanf(ficpar,"%1d%1d",&i1,&j1);
                   11743:        if ( (i1-i) * (j1-j) != 0){
                   11744:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   11745:          exit(1);
                   11746:        }
                   11747:        printf("%1d%1d",i,j);
                   11748:        fprintf(ficparo,"%1d%1d",i1,j1);
                   11749:        fprintf(ficlog,"%1d%1d",i1,j1);
                   11750:        for(k=1; k<=ncovmodel;k++){
                   11751:          fscanf(ficpar,"%le",&delti3[i][j][k]);
                   11752:          printf(" %le",delti3[i][j][k]);
                   11753:          fprintf(ficparo," %le",delti3[i][j][k]);
                   11754:          fprintf(ficlog," %le",delti3[i][j][k]);
                   11755:        }
                   11756:        fscanf(ficpar,"\n");
                   11757:        numlinepar++;
                   11758:        printf("\n");
                   11759:        fprintf(ficparo,"\n");
                   11760:        fprintf(ficlog,"\n");
1.126     brouard  11761:       }
                   11762:     }
                   11763:     fflush(ficlog);
1.234     brouard  11764:     
1.145     brouard  11765:     /* Reads covariance matrix */
1.126     brouard  11766:     delti=delti3[1][1];
1.220     brouard  11767:                
                   11768:                
1.126     brouard  11769:     /* free_ma3x(delti3,1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */ /* Hasn't to to freed here otherwise delti is no more allocated */
1.220     brouard  11770:                
1.126     brouard  11771:     /* Reads comments: lines beginning with '#' */
                   11772:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11773:       ungetc(c,ficpar);
                   11774:       fgets(line, MAXLINE, ficpar);
                   11775:       numlinepar++;
1.141     brouard  11776:       fputs(line,stdout);
1.126     brouard  11777:       fputs(line,ficparo);
                   11778:       fputs(line,ficlog);
                   11779:     }
                   11780:     ungetc(c,ficpar);
1.220     brouard  11781:                
1.126     brouard  11782:     matcov=matrix(1,npar,1,npar);
1.203     brouard  11783:     hess=matrix(1,npar,1,npar);
1.131     brouard  11784:     for(i=1; i <=npar; i++)
                   11785:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
1.220     brouard  11786:                
1.194     brouard  11787:     /* Scans npar lines */
1.126     brouard  11788:     for(i=1; i <=npar; i++){
1.226     brouard  11789:       count=fscanf(ficpar,"%1d%1d%d",&i1,&j1,&jk);
1.194     brouard  11790:       if(count != 3){
1.226     brouard  11791:        printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  11792: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   11793: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  11794:        fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  11795: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   11796: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  11797:        exit(1);
1.220     brouard  11798:       }else{
1.226     brouard  11799:        if(mle==1)
                   11800:          printf("%1d%1d%d",i1,j1,jk);
                   11801:       }
                   11802:       fprintf(ficlog,"%1d%1d%d",i1,j1,jk);
                   11803:       fprintf(ficparo,"%1d%1d%d",i1,j1,jk);
1.126     brouard  11804:       for(j=1; j <=i; j++){
1.226     brouard  11805:        fscanf(ficpar," %le",&matcov[i][j]);
                   11806:        if(mle==1){
                   11807:          printf(" %.5le",matcov[i][j]);
                   11808:        }
                   11809:        fprintf(ficlog," %.5le",matcov[i][j]);
                   11810:        fprintf(ficparo," %.5le",matcov[i][j]);
1.126     brouard  11811:       }
                   11812:       fscanf(ficpar,"\n");
                   11813:       numlinepar++;
                   11814:       if(mle==1)
1.220     brouard  11815:                                printf("\n");
1.126     brouard  11816:       fprintf(ficlog,"\n");
                   11817:       fprintf(ficparo,"\n");
                   11818:     }
1.194     brouard  11819:     /* End of read covariance matrix npar lines */
1.126     brouard  11820:     for(i=1; i <=npar; i++)
                   11821:       for(j=i+1;j<=npar;j++)
1.226     brouard  11822:        matcov[i][j]=matcov[j][i];
1.126     brouard  11823:     
                   11824:     if(mle==1)
                   11825:       printf("\n");
                   11826:     fprintf(ficlog,"\n");
                   11827:     
                   11828:     fflush(ficlog);
                   11829:     
                   11830:   }    /* End of mle != -3 */
1.218     brouard  11831:   
1.186     brouard  11832:   /*  Main data
                   11833:    */
1.290     brouard  11834:   nobs=lastobs-firstobs+1; /* was = lastobs;*/
                   11835:   /* num=lvector(1,n); */
                   11836:   /* moisnais=vector(1,n); */
                   11837:   /* annais=vector(1,n); */
                   11838:   /* moisdc=vector(1,n); */
                   11839:   /* andc=vector(1,n); */
                   11840:   /* weight=vector(1,n); */
                   11841:   /* agedc=vector(1,n); */
                   11842:   /* cod=ivector(1,n); */
                   11843:   /* for(i=1;i<=n;i++){ */
                   11844:   num=lvector(firstobs,lastobs);
                   11845:   moisnais=vector(firstobs,lastobs);
                   11846:   annais=vector(firstobs,lastobs);
                   11847:   moisdc=vector(firstobs,lastobs);
                   11848:   andc=vector(firstobs,lastobs);
                   11849:   weight=vector(firstobs,lastobs);
                   11850:   agedc=vector(firstobs,lastobs);
                   11851:   cod=ivector(firstobs,lastobs);
                   11852:   for(i=firstobs;i<=lastobs;i++){
1.234     brouard  11853:     num[i]=0;
                   11854:     moisnais[i]=0;
                   11855:     annais[i]=0;
                   11856:     moisdc[i]=0;
                   11857:     andc[i]=0;
                   11858:     agedc[i]=0;
                   11859:     cod[i]=0;
                   11860:     weight[i]=1.0; /* Equal weights, 1 by default */
                   11861:   }
1.290     brouard  11862:   mint=matrix(1,maxwav,firstobs,lastobs);
                   11863:   anint=matrix(1,maxwav,firstobs,lastobs);
                   11864:   s=imatrix(1,maxwav+1,firstobs,lastobs); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  11865:   tab=ivector(1,NCOVMAX);
1.144     brouard  11866:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.192     brouard  11867:   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  11868: 
1.136     brouard  11869:   /* Reads data from file datafile */
                   11870:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   11871:     goto end;
                   11872: 
                   11873:   /* Calculation of the number of parameters from char model */
1.234     brouard  11874:   /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
1.137     brouard  11875:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   11876:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   11877:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   11878:        k=1 Tvar[1]=2 (from V2)
1.234     brouard  11879:   */
                   11880:   
                   11881:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
                   11882:   TvarsDind=ivector(1,NCOVMAX); /*  */
                   11883:   TvarsD=ivector(1,NCOVMAX); /*  */
                   11884:   TvarsQind=ivector(1,NCOVMAX); /*  */
                   11885:   TvarsQ=ivector(1,NCOVMAX); /*  */
1.232     brouard  11886:   TvarF=ivector(1,NCOVMAX); /*  */
                   11887:   TvarFind=ivector(1,NCOVMAX); /*  */
                   11888:   TvarV=ivector(1,NCOVMAX); /*  */
                   11889:   TvarVind=ivector(1,NCOVMAX); /*  */
                   11890:   TvarA=ivector(1,NCOVMAX); /*  */
                   11891:   TvarAind=ivector(1,NCOVMAX); /*  */
1.231     brouard  11892:   TvarFD=ivector(1,NCOVMAX); /*  */
                   11893:   TvarFDind=ivector(1,NCOVMAX); /*  */
                   11894:   TvarFQ=ivector(1,NCOVMAX); /*  */
                   11895:   TvarFQind=ivector(1,NCOVMAX); /*  */
                   11896:   TvarVD=ivector(1,NCOVMAX); /*  */
                   11897:   TvarVDind=ivector(1,NCOVMAX); /*  */
                   11898:   TvarVQ=ivector(1,NCOVMAX); /*  */
                   11899:   TvarVQind=ivector(1,NCOVMAX); /*  */
                   11900: 
1.230     brouard  11901:   Tvalsel=vector(1,NCOVMAX); /*  */
1.233     brouard  11902:   Tvarsel=ivector(1,NCOVMAX); /*  */
1.226     brouard  11903:   Typevar=ivector(-1,NCOVMAX); /* -1 to 2 */
                   11904:   Fixed=ivector(-1,NCOVMAX); /* -1 to 3 */
                   11905:   Dummy=ivector(-1,NCOVMAX); /* -1 to 3 */
1.137     brouard  11906:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   11907:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   11908:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   11909:   */
                   11910:   /* For model-covariate k tells which data-covariate to use but
                   11911:     because this model-covariate is a construction we invent a new column
                   11912:     ncovcol + k1
                   11913:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   11914:     Tvar[3=V1*V4]=4+1 etc */
1.227     brouard  11915:   Tprod=ivector(1,NCOVMAX); /* Gives the k position of the k1 product */
                   11916:   Tposprod=ivector(1,NCOVMAX); /* Gives the k1 product from the k position */
1.137     brouard  11917:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   11918:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
1.227     brouard  11919:      Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5]=2 
1.137     brouard  11920:   */
1.145     brouard  11921:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   11922:   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  11923:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   11924:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  11925:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  11926:                         4 covariates (3 plus signs)
                   11927:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   11928:                      */  
1.230     brouard  11929:   Tmodelind=ivector(1,NCOVMAX);/** gives the k model position of an
1.227     brouard  11930:                                * individual dummy, fixed or varying:
                   11931:                                * Tmodelind[Tvaraff[3]]=9,Tvaraff[1]@9={4,
                   11932:                                * 3, 1, 0, 0, 0, 0, 0, 0},
1.230     brouard  11933:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 , 
                   11934:                                * V1 df, V2 qf, V3 & V4 dv, V5 qv
                   11935:                                * Tmodelind[1]@9={9,0,3,2,}*/
                   11936:   TmodelInvind=ivector(1,NCOVMAX); /* TmodelInvind=Tvar[k]- ncovcol-nqv={5-2-1=2,*/
                   11937:   TmodelInvQind=ivector(1,NCOVMAX);/** gives the k model position of an
1.228     brouard  11938:                                * individual quantitative, fixed or varying:
                   11939:                                * Tmodelqind[1]=1,Tvaraff[1]@9={4,
                   11940:                                * 3, 1, 0, 0, 0, 0, 0, 0},
                   11941:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
1.186     brouard  11942: /* Main decodemodel */
                   11943: 
1.187     brouard  11944: 
1.223     brouard  11945:   if(decodemodel(model, lastobs) == 1) /* In order to get Tvar[k] V4+V3+V5 p Tvar[1]@3  = {4, 3, 5}*/
1.136     brouard  11946:     goto end;
                   11947: 
1.137     brouard  11948:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   11949:     nbwarn++;
                   11950:     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); 
                   11951:     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); 
                   11952:   }
1.136     brouard  11953:     /*  if(mle==1){*/
1.137     brouard  11954:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   11955:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  11956:   }
                   11957: 
                   11958:     /*-calculation of age at interview from date of interview and age at death -*/
                   11959:   agev=matrix(1,maxwav,1,imx);
                   11960: 
                   11961:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   11962:     goto end;
                   11963: 
1.126     brouard  11964: 
1.136     brouard  11965:   agegomp=(int)agemin;
1.290     brouard  11966:   free_vector(moisnais,firstobs,lastobs);
                   11967:   free_vector(annais,firstobs,lastobs);
1.126     brouard  11968:   /* free_matrix(mint,1,maxwav,1,n);
                   11969:      free_matrix(anint,1,maxwav,1,n);*/
1.215     brouard  11970:   /* free_vector(moisdc,1,n); */
                   11971:   /* free_vector(andc,1,n); */
1.145     brouard  11972:   /* */
                   11973:   
1.126     brouard  11974:   wav=ivector(1,imx);
1.214     brouard  11975:   /* dh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11976:   /* bh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11977:   /* mw=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11978:   dh=imatrix(1,lastpass-firstpass+2,1,imx); /* We are adding a wave if status is unknown at last wave but death occurs after last wave.*/
                   11979:   bh=imatrix(1,lastpass-firstpass+2,1,imx);
                   11980:   mw=imatrix(1,lastpass-firstpass+2,1,imx);
1.126     brouard  11981:    
                   11982:   /* Concatenates waves */
1.214     brouard  11983:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   11984:      Death is a valid wave (if date is known).
                   11985:      mw[mi][i] is the number of (mi=1 to wav[i]) effective wave out of mi of individual i
                   11986:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   11987:      and mw[mi+1][i]. dh depends on stepm.
                   11988:   */
                   11989: 
1.126     brouard  11990:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.248     brouard  11991:   /* Concatenates waves */
1.145     brouard  11992:  
1.290     brouard  11993:   free_vector(moisdc,firstobs,lastobs);
                   11994:   free_vector(andc,firstobs,lastobs);
1.215     brouard  11995: 
1.126     brouard  11996:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   11997:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   11998:   ncodemax[1]=1;
1.145     brouard  11999:   Ndum =ivector(-1,NCOVMAX);  
1.225     brouard  12000:   cptcoveff=0;
1.220     brouard  12001:   if (ncovmodel-nagesqr > 2 ){ /* That is if covariate other than cst, age and age*age */
                   12002:     tricode(&cptcoveff,Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
1.227     brouard  12003:   }
                   12004:   
                   12005:   ncovcombmax=pow(2,cptcoveff);
                   12006:   invalidvarcomb=ivector(1, ncovcombmax); 
                   12007:   for(i=1;i<ncovcombmax;i++)
                   12008:     invalidvarcomb[i]=0;
                   12009:   
1.211     brouard  12010:   /* Nbcode gives the value of the lth modality (currently 1 to 2) of jth covariate, in
1.186     brouard  12011:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
1.211     brouard  12012:   /* 1 to ncodemax[j] which is the maximum value of this jth covariate */
1.227     brouard  12013:   
1.200     brouard  12014:   /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
1.198     brouard  12015:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
1.186     brouard  12016:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.211     brouard  12017:   /* nbcode[Tvaraff[j]][codtabm(h,j)]) : if there are only 2 modalities for a covariate j, 
                   12018:    * codtabm(h,j) gives its value classified at position h and nbcode gives how it is coded 
                   12019:    * (currently 0 or 1) in the data.
                   12020:    * In a loop on h=1 to 2**k, and a loop on j (=1 to k), we get the value of 
                   12021:    * corresponding modality (h,j).
                   12022:    */
                   12023: 
1.145     brouard  12024:   h=0;
                   12025:   /*if (cptcovn > 0) */
1.126     brouard  12026:   m=pow(2,cptcoveff);
                   12027:  
1.144     brouard  12028:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.211     brouard  12029:           * For k=4 covariates, h goes from 1 to m=2**k
                   12030:           * codtabm(h,k)=  (1 & (h-1) >> (k-1)) + 1;
                   12031:            * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.186     brouard  12032:           *     h\k   1     2     3     4
1.143     brouard  12033:           *______________________________  
                   12034:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   12035:           *     2     2     1     1     1
                   12036:           *     3 i=2 1     2     1     1
                   12037:           *     4     2     2     1     1
                   12038:           *     5 i=3 1 i=2 1     2     1
                   12039:           *     6     2     1     2     1
                   12040:           *     7 i=4 1     2     2     1
                   12041:           *     8     2     2     2     1
1.197     brouard  12042:           *     9 i=5 1 i=3 1 i=2 1     2
                   12043:           *    10     2     1     1     2
                   12044:           *    11 i=6 1     2     1     2
                   12045:           *    12     2     2     1     2
                   12046:           *    13 i=7 1 i=4 1     2     2    
                   12047:           *    14     2     1     2     2
                   12048:           *    15 i=8 1     2     2     2
                   12049:           *    16     2     2     2     2
1.143     brouard  12050:           */
1.212     brouard  12051:   /* How to do the opposite? From combination h (=1 to 2**k) how to get the value on the covariates? */
1.211     brouard  12052:      /* from h=5 and m, we get then number of covariates k=log(m)/log(2)=4
                   12053:      * and the value of each covariate?
                   12054:      * V1=1, V2=1, V3=2, V4=1 ?
                   12055:      * h-1=4 and 4 is 0100 or reverse 0010, and +1 is 1121 ok.
                   12056:      * h=6, 6-1=5, 5 is 0101, 1010, 2121, V1=2nd, V2=1st, V3=2nd, V4=1st.
                   12057:      * In order to get the real value in the data, we use nbcode
                   12058:      * nbcode[Tvar[3][2nd]]=1 and nbcode[Tvar[4][1]]=0
                   12059:      * We are keeping this crazy system in order to be able (in the future?) 
                   12060:      * to have more than 2 values (0 or 1) for a covariate.
                   12061:      * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
                   12062:      * h=6, k=2? h-1=5=0101, reverse 1010, +1=2121, k=2nd position: value is 1: codtabm(6,2)=1
                   12063:      *              bbbbbbbb
                   12064:      *              76543210     
                   12065:      *   h-1        00000101 (6-1=5)
1.219     brouard  12066:      *(h-1)>>(k-1)= 00000010 >> (2-1) = 1 right shift
1.211     brouard  12067:      *           &
                   12068:      *     1        00000001 (1)
1.219     brouard  12069:      *              00000000        = 1 & ((h-1) >> (k-1))
                   12070:      *          +1= 00000001 =1 
1.211     brouard  12071:      *
                   12072:      * h=14, k=3 => h'=h-1=13, k'=k-1=2
                   12073:      *          h'      1101 =2^3+2^2+0x2^1+2^0
                   12074:      *    >>k'            11
                   12075:      *          &   00000001
                   12076:      *            = 00000001
                   12077:      *      +1    = 00000010=2    =  codtabm(14,3)   
                   12078:      * Reverse h=6 and m=16?
                   12079:      * cptcoveff=log(16)/log(2)=4 covariate: 6-1=5=0101 reversed=1010 +1=2121 =>V1=2, V2=1, V3=2, V4=1.
                   12080:      * for (j=1 to cptcoveff) Vj=decodtabm(j,h,cptcoveff)
                   12081:      * decodtabm(h,j,cptcoveff)= (((h-1) >> (j-1)) & 1) +1 
                   12082:      * decodtabm(h,j,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (j-1)) & 1) +1 : -1)
                   12083:      * V3=decodtabm(14,3,2**4)=2
                   12084:      *          h'=13   1101 =2^3+2^2+0x2^1+2^0
                   12085:      *(h-1) >> (j-1)    0011 =13 >> 2
                   12086:      *          &1 000000001
                   12087:      *           = 000000001
                   12088:      *         +1= 000000010 =2
                   12089:      *                  2211
                   12090:      *                  V1=1+1, V2=0+1, V3=1+1, V4=1+1
                   12091:      *                  V3=2
1.220     brouard  12092:                 * codtabm and decodtabm are identical
1.211     brouard  12093:      */
                   12094: 
1.145     brouard  12095: 
                   12096:  free_ivector(Ndum,-1,NCOVMAX);
                   12097: 
                   12098: 
1.126     brouard  12099:     
1.186     brouard  12100:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  12101:   strcpy(optionfilegnuplot,optionfilefiname);
                   12102:   if(mle==-3)
1.201     brouard  12103:     strcat(optionfilegnuplot,"-MORT_");
1.126     brouard  12104:   strcat(optionfilegnuplot,".gp");
                   12105: 
                   12106:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   12107:     printf("Problem with file %s",optionfilegnuplot);
                   12108:   }
                   12109:   else{
1.204     brouard  12110:     fprintf(ficgp,"\n# IMaCh-%s\n", version); 
1.126     brouard  12111:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  12112:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   12113:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  12114:   }
                   12115:   /*  fclose(ficgp);*/
1.186     brouard  12116: 
                   12117: 
                   12118:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  12119: 
                   12120:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   12121:   if(mle==-3)
1.201     brouard  12122:     strcat(optionfilehtm,"-MORT_");
1.126     brouard  12123:   strcat(optionfilehtm,".htm");
                   12124:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  12125:     printf("Problem with %s \n",optionfilehtm);
                   12126:     exit(0);
1.126     brouard  12127:   }
                   12128: 
                   12129:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   12130:   strcat(optionfilehtmcov,"-cov.htm");
                   12131:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   12132:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   12133:   }
                   12134:   else{
                   12135:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   12136: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  12137: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.126     brouard  12138:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   12139:   }
                   12140: 
1.213     brouard  12141:   fprintf(fichtm,"<html><head>\n<head>\n<meta charset=\"utf-8\"/><meta http-equiv=\"Content-Type\" content=\"text/html; charset=utf-8\" />\n<title>IMaCh %s</title></head>\n <body><font size=\"7\"><a href=http:/euroreves.ined.fr/imach>IMaCh for Interpolated Markov Chain</a> </font><br>\n<font size=\"3\">Sponsored by Copyright (C)  2002-2015 <a href=http://www.ined.fr>INED</a>-EUROREVES-Institut de longévité-2013-2016-Japan Society for the Promotion of Sciences 日本学術振興会 (<a href=https://www.jsps.go.jp/english/e-grants/>Grant-in-Aid for Scientific Research 25293121</a>) - <a href=https://software.intel.com/en-us>Intel Software 2015-2018</a></font><br>  \
1.204     brouard  12142: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   12143: <font size=\"2\">IMaCh-%s <br> %s</font> \
1.126     brouard  12144: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  12145: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n\
1.126     brouard  12146: \n\
                   12147: <hr  size=\"2\" color=\"#EC5E5E\">\
                   12148:  <ul><li><h4>Parameter files</h4>\n\
                   12149:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   12150:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   12151:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   12152:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   12153:  - Date and time at start: %s</ul>\n",\
                   12154:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   12155:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   12156:          fileres,fileres,\
                   12157:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   12158:   fflush(fichtm);
                   12159: 
                   12160:   strcpy(pathr,path);
                   12161:   strcat(pathr,optionfilefiname);
1.184     brouard  12162: #ifdef WIN32
                   12163:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   12164: #else
1.126     brouard  12165:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  12166: #endif
                   12167:          
1.126     brouard  12168:   
1.220     brouard  12169:   /* Calculates basic frequencies. Computes observed prevalence at single age 
                   12170:                 and for any valid combination of covariates
1.126     brouard  12171:      and prints on file fileres'p'. */
1.251     brouard  12172:   freqsummary(fileres, p, pstart, agemin, agemax, s, agev, nlstate, imx, Tvaraff, invalidvarcomb, nbcode, ncodemax,mint,anint,strstart, \
1.227     brouard  12173:              firstpass, lastpass,  stepm,  weightopt, model);
1.126     brouard  12174: 
                   12175:   fprintf(fichtm,"\n");
1.286     brouard  12176:   fprintf(fichtm,"<h4>Parameter line 2</h4><ul><li>Tolerance for the convergence of the likelihood: ftol=%g \n<li>Interval for the elementary matrix (in month): stepm=%d",\
1.274     brouard  12177:          ftol, stepm);
                   12178:   fprintf(fichtm,"\n<li>Number of fixed dummy covariates: ncovcol=%d ", ncovcol);
                   12179:   ncurrv=1;
                   12180:   for(i=ncurrv; i <=ncovcol; i++) fprintf(fichtm,"V%d ", i);
                   12181:   fprintf(fichtm,"\n<li> Number of fixed quantitative variables: nqv=%d ", nqv); 
                   12182:   ncurrv=i;
                   12183:   for(i=ncurrv; i <=ncurrv-1+nqv; i++) fprintf(fichtm,"V%d ", i);
1.290     brouard  12184:   fprintf(fichtm,"\n<li> Number of time varying (wave varying) dummy covariates: ntv=%d ", ntv);
1.274     brouard  12185:   ncurrv=i;
                   12186:   for(i=ncurrv; i <=ncurrv-1+ntv; i++) fprintf(fichtm,"V%d ", i);
1.290     brouard  12187:   fprintf(fichtm,"\n<li>Number of time varying  quantitative covariates: nqtv=%d ", nqtv);
1.274     brouard  12188:   ncurrv=i;
                   12189:   for(i=ncurrv; i <=ncurrv-1+nqtv; i++) fprintf(fichtm,"V%d ", i);
                   12190:   fprintf(fichtm,"\n<li>Weights column \n<br>Number of alive states: nlstate=%d <br>Number of death states (not really implemented): ndeath=%d \n<li>Number of waves: maxwav=%d \n<li>Parameter for maximization (1), using parameter values (0), for design of parameters and variance-covariance matrix: mle=%d \n<li>Does the weight column be taken into account (1), or not (0): weight=%d</ul>\n", \
                   12191:           nlstate, ndeath, maxwav, mle, weightopt);
                   12192: 
                   12193:   fprintf(fichtm,"<h4> Diagram of states <a href=\"%s_.svg\">%s_.svg</a></h4> \n\
                   12194: <img src=\"%s_.svg\">", subdirf2(optionfilefiname,"D_"),subdirf2(optionfilefiname,"D_"),subdirf2(optionfilefiname,"D_"));
                   12195: 
                   12196:   
1.317     brouard  12197:   fprintf(fichtm,"\n<h4>Some descriptive statistics </h4>\n<br>Number of (used) observations=%d <br>\n\
1.126     brouard  12198: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   12199: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
1.274     brouard  12200:   imx,agemin,agemax,jmin,jmax,jmean);
1.126     brouard  12201:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
1.268     brouard  12202:   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   12203:   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   12204:   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   12205:   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
1.218     brouard  12206: 
1.126     brouard  12207:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   12208:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   12209:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   12210: 
                   12211:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  12212:   /* For mortality only */
1.126     brouard  12213:   if (mle==-3){
1.136     brouard  12214:     ximort=matrix(1,NDIM,1,NDIM); 
1.248     brouard  12215:     for(i=1;i<=NDIM;i++)
                   12216:       for(j=1;j<=NDIM;j++)
                   12217:        ximort[i][j]=0.;
1.186     brouard  12218:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.290     brouard  12219:     cens=ivector(firstobs,lastobs);
                   12220:     ageexmed=vector(firstobs,lastobs);
                   12221:     agecens=vector(firstobs,lastobs);
                   12222:     dcwave=ivector(firstobs,lastobs);
1.223     brouard  12223:                
1.126     brouard  12224:     for (i=1; i<=imx; i++){
                   12225:       dcwave[i]=-1;
                   12226:       for (m=firstpass; m<=lastpass; m++)
1.226     brouard  12227:        if (s[m][i]>nlstate) {
                   12228:          dcwave[i]=m;
                   12229:          /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
                   12230:          break;
                   12231:        }
1.126     brouard  12232:     }
1.226     brouard  12233:     
1.126     brouard  12234:     for (i=1; i<=imx; i++) {
                   12235:       if (wav[i]>0){
1.226     brouard  12236:        ageexmed[i]=agev[mw[1][i]][i];
                   12237:        j=wav[i];
                   12238:        agecens[i]=1.; 
                   12239:        
                   12240:        if (ageexmed[i]> 1 && wav[i] > 0){
                   12241:          agecens[i]=agev[mw[j][i]][i];
                   12242:          cens[i]= 1;
                   12243:        }else if (ageexmed[i]< 1) 
                   12244:          cens[i]= -1;
                   12245:        if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
                   12246:          cens[i]=0 ;
1.126     brouard  12247:       }
                   12248:       else cens[i]=-1;
                   12249:     }
                   12250:     
                   12251:     for (i=1;i<=NDIM;i++) {
                   12252:       for (j=1;j<=NDIM;j++)
1.226     brouard  12253:        ximort[i][j]=(i == j ? 1.0 : 0.0);
1.126     brouard  12254:     }
                   12255:     
1.302     brouard  12256:     p[1]=0.0268; p[NDIM]=0.083;
                   12257:     /* printf("%lf %lf", p[1], p[2]); */
1.126     brouard  12258:     
                   12259:     
1.136     brouard  12260: #ifdef GSL
                   12261:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  12262: #else
1.126     brouard  12263:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  12264: #endif
1.201     brouard  12265:     strcpy(filerespow,"POW-MORT_"); 
                   12266:     strcat(filerespow,fileresu);
1.126     brouard  12267:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   12268:       printf("Problem with resultfile: %s\n", filerespow);
                   12269:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   12270:     }
1.136     brouard  12271: #ifdef GSL
                   12272:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  12273: #else
1.126     brouard  12274:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  12275: #endif
1.126     brouard  12276:     /*  for (i=1;i<=nlstate;i++)
                   12277:        for(j=1;j<=nlstate+ndeath;j++)
                   12278:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   12279:     */
                   12280:     fprintf(ficrespow,"\n");
1.136     brouard  12281: #ifdef GSL
                   12282:     /* gsl starts here */ 
                   12283:     T = gsl_multimin_fminimizer_nmsimplex;
                   12284:     gsl_multimin_fminimizer *sfm = NULL;
                   12285:     gsl_vector *ss, *x;
                   12286:     gsl_multimin_function minex_func;
                   12287: 
                   12288:     /* Initial vertex size vector */
                   12289:     ss = gsl_vector_alloc (NDIM);
                   12290:     
                   12291:     if (ss == NULL){
                   12292:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   12293:     }
                   12294:     /* Set all step sizes to 1 */
                   12295:     gsl_vector_set_all (ss, 0.001);
                   12296: 
                   12297:     /* Starting point */
1.126     brouard  12298:     
1.136     brouard  12299:     x = gsl_vector_alloc (NDIM);
                   12300:     
                   12301:     if (x == NULL){
                   12302:       gsl_vector_free(ss);
                   12303:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   12304:     }
                   12305:   
                   12306:     /* Initialize method and iterate */
                   12307:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  12308:     /*     gsl_vector_set(x, 0, 0.0268); */
                   12309:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  12310:     gsl_vector_set(x, 0, p[1]);
                   12311:     gsl_vector_set(x, 1, p[2]);
                   12312: 
                   12313:     minex_func.f = &gompertz_f;
                   12314:     minex_func.n = NDIM;
                   12315:     minex_func.params = (void *)&p; /* ??? */
                   12316:     
                   12317:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   12318:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   12319:     
                   12320:     printf("Iterations beginning .....\n\n");
                   12321:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   12322: 
                   12323:     iteri=0;
                   12324:     while (rval == GSL_CONTINUE){
                   12325:       iteri++;
                   12326:       status = gsl_multimin_fminimizer_iterate(sfm);
                   12327:       
                   12328:       if (status) printf("error: %s\n", gsl_strerror (status));
                   12329:       fflush(0);
                   12330:       
                   12331:       if (status) 
                   12332:         break;
                   12333:       
                   12334:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   12335:       ssval = gsl_multimin_fminimizer_size (sfm);
                   12336:       
                   12337:       if (rval == GSL_SUCCESS)
                   12338:         printf ("converged to a local maximum at\n");
                   12339:       
                   12340:       printf("%5d ", iteri);
                   12341:       for (it = 0; it < NDIM; it++){
                   12342:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   12343:       }
                   12344:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   12345:     }
                   12346:     
                   12347:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   12348:     
                   12349:     gsl_vector_free(x); /* initial values */
                   12350:     gsl_vector_free(ss); /* inital step size */
                   12351:     for (it=0; it<NDIM; it++){
                   12352:       p[it+1]=gsl_vector_get(sfm->x,it);
                   12353:       fprintf(ficrespow," %.12lf", p[it]);
                   12354:     }
                   12355:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   12356: #endif
                   12357: #ifdef POWELL
                   12358:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   12359: #endif  
1.126     brouard  12360:     fclose(ficrespow);
                   12361:     
1.203     brouard  12362:     hesscov(matcov, hess, p, NDIM, delti, 1e-4, gompertz); 
1.126     brouard  12363: 
                   12364:     for(i=1; i <=NDIM; i++)
                   12365:       for(j=i+1;j<=NDIM;j++)
1.220     brouard  12366:                                matcov[i][j]=matcov[j][i];
1.126     brouard  12367:     
                   12368:     printf("\nCovariance matrix\n ");
1.203     brouard  12369:     fprintf(ficlog,"\nCovariance matrix\n ");
1.126     brouard  12370:     for(i=1; i <=NDIM; i++) {
                   12371:       for(j=1;j<=NDIM;j++){ 
1.220     brouard  12372:                                printf("%f ",matcov[i][j]);
                   12373:                                fprintf(ficlog,"%f ",matcov[i][j]);
1.126     brouard  12374:       }
1.203     brouard  12375:       printf("\n ");  fprintf(ficlog,"\n ");
1.126     brouard  12376:     }
                   12377:     
                   12378:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
1.193     brouard  12379:     for (i=1;i<=NDIM;i++) {
1.126     brouard  12380:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.193     brouard  12381:       fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   12382:     }
1.302     brouard  12383:     lsurv=vector(agegomp,AGESUP);
                   12384:     lpop=vector(agegomp,AGESUP);
                   12385:     tpop=vector(agegomp,AGESUP);
1.126     brouard  12386:     lsurv[agegomp]=100000;
                   12387:     
                   12388:     for (k=agegomp;k<=AGESUP;k++) {
                   12389:       agemortsup=k;
                   12390:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   12391:     }
                   12392:     
                   12393:     for (k=agegomp;k<agemortsup;k++)
                   12394:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   12395:     
                   12396:     for (k=agegomp;k<agemortsup;k++){
                   12397:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   12398:       sumlpop=sumlpop+lpop[k];
                   12399:     }
                   12400:     
                   12401:     tpop[agegomp]=sumlpop;
                   12402:     for (k=agegomp;k<(agemortsup-3);k++){
                   12403:       /*  tpop[k+1]=2;*/
                   12404:       tpop[k+1]=tpop[k]-lpop[k];
                   12405:     }
                   12406:     
                   12407:     
                   12408:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   12409:     for (k=agegomp;k<(agemortsup-2);k++) 
                   12410:       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]);
                   12411:     
                   12412:     
                   12413:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.220     brouard  12414:                ageminpar=50;
                   12415:                agemaxpar=100;
1.194     brouard  12416:     if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
                   12417:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   12418: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12419: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   12420:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   12421: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12422: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  12423:     }else{
                   12424:                        printf("Warning! ageminpar %f and agemaxpar %f have been fixed because for simplification until it is fixed...\n\n",ageminpar,agemaxpar);
                   12425:                        fprintf(ficlog,"Warning! ageminpar %f and agemaxpar %f have been fixed because for simplification until it is fixed...\n\n",ageminpar,agemaxpar);
1.201     brouard  12426:       printinggnuplotmort(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
1.220     brouard  12427:                }
1.201     brouard  12428:     printinghtmlmort(fileresu,title,datafile, firstpass, lastpass, \
1.126     brouard  12429:                     stepm, weightopt,\
                   12430:                     model,imx,p,matcov,agemortsup);
                   12431:     
1.302     brouard  12432:     free_vector(lsurv,agegomp,AGESUP);
                   12433:     free_vector(lpop,agegomp,AGESUP);
                   12434:     free_vector(tpop,agegomp,AGESUP);
1.220     brouard  12435:     free_matrix(ximort,1,NDIM,1,NDIM);
1.290     brouard  12436:     free_ivector(dcwave,firstobs,lastobs);
                   12437:     free_vector(agecens,firstobs,lastobs);
                   12438:     free_vector(ageexmed,firstobs,lastobs);
                   12439:     free_ivector(cens,firstobs,lastobs);
1.220     brouard  12440: #ifdef GSL
1.136     brouard  12441: #endif
1.186     brouard  12442:   } /* Endof if mle==-3 mortality only */
1.205     brouard  12443:   /* Standard  */
                   12444:   else{ /* For mle !=- 3, could be 0 or 1 or 4 etc. */
                   12445:     globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   12446:     /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
1.132     brouard  12447:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  12448:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   12449:     for (k=1; k<=npar;k++)
                   12450:       printf(" %d %8.5f",k,p[k]);
                   12451:     printf("\n");
1.205     brouard  12452:     if(mle>=1){ /* Could be 1 or 2, Real Maximization */
                   12453:       /* mlikeli uses func not funcone */
1.247     brouard  12454:       /* for(i=1;i<nlstate;i++){ */
                   12455:       /*       /\*reducing xi for 1 to npar to 1 to ncovmodel; *\/ */
                   12456:       /*    mlikeli(ficres,p, ncovmodel, ncovmodel, nlstate, ftol, funcnoprod); */
                   12457:       /* } */
1.205     brouard  12458:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
                   12459:     }
                   12460:     if(mle==0) {/* No optimization, will print the likelihoods for the datafile */
                   12461:       globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   12462:       /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
                   12463:       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   12464:     }
                   12465:     globpr=1; /* again, to print the individual contributions using computed gpimx and gsw */
1.126     brouard  12466:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   12467:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   12468:     for (k=1; k<=npar;k++)
                   12469:       printf(" %d %8.5f",k,p[k]);
                   12470:     printf("\n");
                   12471:     
                   12472:     /*--------- results files --------------*/
1.283     brouard  12473:     /* fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle= 0 weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nqv, ntv, nqtv, nlstate, ndeath, maxwav, weightopt,model); */
1.126     brouard  12474:     
                   12475:     
                   12476:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
1.319     brouard  12477:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n"); /* Printing model equation */
1.126     brouard  12478:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
1.319     brouard  12479: 
                   12480:     printf("#model=  1      +     age ");
                   12481:     fprintf(ficres,"#model=  1      +     age ");
                   12482:     fprintf(ficlog,"#model=  1      +     age ");
                   12483:     fprintf(fichtm,"\n<ul><li> model=1+age+%s\n \
                   12484: </ul>", model);
                   12485: 
                   12486:     fprintf(fichtm,"\n<table style=\"text-align:center; border: 1px solid\">\n");
                   12487:     fprintf(fichtm, "<tr><th>Model=</th><th>1</th><th>+ age</th>");
                   12488:     if(nagesqr==1){
                   12489:       printf("  + age*age  ");
                   12490:       fprintf(ficres,"  + age*age  ");
                   12491:       fprintf(ficlog,"  + age*age  ");
                   12492:       fprintf(fichtm, "<th>+ age*age</th>");
                   12493:     }
                   12494:     for(j=1;j <=ncovmodel-2;j++){
                   12495:       if(Typevar[j]==0) {
                   12496:        printf("  +      V%d  ",Tvar[j]);
                   12497:        fprintf(ficres,"  +      V%d  ",Tvar[j]);
                   12498:        fprintf(ficlog,"  +      V%d  ",Tvar[j]);
                   12499:        fprintf(fichtm, "<th>+ V%d</th>",Tvar[j]);
                   12500:       }else if(Typevar[j]==1) {
                   12501:        printf("  +    V%d*age ",Tvar[j]);
                   12502:        fprintf(ficres,"  +    V%d*age ",Tvar[j]);
                   12503:        fprintf(ficlog,"  +    V%d*age ",Tvar[j]);
                   12504:        fprintf(fichtm, "<th>+  V%d*age</th>",Tvar[j]);
                   12505:       }else if(Typevar[j]==2) {
                   12506:        printf("  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   12507:        fprintf(ficres,"  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   12508:        fprintf(ficlog,"  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   12509:        fprintf(fichtm, "<th>+  V%d*V%d</th>",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   12510:       }
                   12511:     }
                   12512:     printf("\n");
                   12513:     fprintf(ficres,"\n");
                   12514:     fprintf(ficlog,"\n");
                   12515:     fprintf(fichtm, "</tr>");
                   12516:     fprintf(fichtm, "\n");
                   12517:     
                   12518:     
1.126     brouard  12519:     for(i=1,jk=1; i <=nlstate; i++){
                   12520:       for(k=1; k <=(nlstate+ndeath); k++){
1.225     brouard  12521:        if (k != i) {
1.319     brouard  12522:          fprintf(fichtm, "<tr>");
1.225     brouard  12523:          printf("%d%d ",i,k);
                   12524:          fprintf(ficlog,"%d%d ",i,k);
                   12525:          fprintf(ficres,"%1d%1d ",i,k);
1.319     brouard  12526:          fprintf(fichtm, "<td>%1d%1d</td>",i,k);
1.225     brouard  12527:          for(j=1; j <=ncovmodel; j++){
                   12528:            printf("%12.7f ",p[jk]);
                   12529:            fprintf(ficlog,"%12.7f ",p[jk]);
                   12530:            fprintf(ficres,"%12.7f ",p[jk]);
1.319     brouard  12531:            fprintf(fichtm, "<td>%12.7f</td>",p[jk]);
1.225     brouard  12532:            jk++; 
                   12533:          }
                   12534:          printf("\n");
                   12535:          fprintf(ficlog,"\n");
                   12536:          fprintf(ficres,"\n");
1.319     brouard  12537:          fprintf(fichtm, "</tr>\n");
1.225     brouard  12538:        }
1.126     brouard  12539:       }
                   12540:     }
1.319     brouard  12541:     /* fprintf(fichtm,"</tr>\n"); */
                   12542:     fprintf(fichtm,"</table>\n");
                   12543:     fprintf(fichtm, "\n");
                   12544: 
1.203     brouard  12545:     if(mle != 0){
                   12546:       /* Computing hessian and covariance matrix only at a peak of the Likelihood, that is after optimization */
1.126     brouard  12547:       ftolhess=ftol; /* Usually correct */
1.203     brouard  12548:       hesscov(matcov, hess, p, npar, delti, ftolhess, func);
                   12549:       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");
                   12550:       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");
1.319     brouard  12551:       fprintf(fichtm,"\n<table style=\"text-align:center; border: 1px solid\">");
                   12552:       fprintf(fichtm, "\n<tr><th>Model=</th><th>1</th><th>+ age</th>");
                   12553:       if(nagesqr==1){
                   12554:        printf("  + age*age  ");
                   12555:        fprintf(ficres,"  + age*age  ");
                   12556:        fprintf(ficlog,"  + age*age  ");
                   12557:        fprintf(fichtm, "<th>+ age*age</th>");
                   12558:       }
                   12559:       for(j=1;j <=ncovmodel-2;j++){
                   12560:        if(Typevar[j]==0) {
                   12561:          printf("  +      V%d  ",Tvar[j]);
                   12562:          fprintf(fichtm, "<th>+ V%d</th>",Tvar[j]);
                   12563:        }else if(Typevar[j]==1) {
                   12564:          printf("  +    V%d*age ",Tvar[j]);
                   12565:          fprintf(fichtm, "<th>+  V%d*age</th>",Tvar[j]);
                   12566:        }else if(Typevar[j]==2) {
                   12567:          fprintf(fichtm, "<th>+  V%d*V%d</th>",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   12568:        }
                   12569:       }
                   12570:       fprintf(fichtm, "</tr>\n");
                   12571:  
1.203     brouard  12572:       for(i=1,jk=1; i <=nlstate; i++){
1.225     brouard  12573:        for(k=1; k <=(nlstate+ndeath); k++){
                   12574:          if (k != i) {
1.319     brouard  12575:            fprintf(fichtm, "<tr valign=top>");
1.225     brouard  12576:            printf("%d%d ",i,k);
                   12577:            fprintf(ficlog,"%d%d ",i,k);
1.319     brouard  12578:            fprintf(fichtm, "<td>%1d%1d</td>",i,k);
1.225     brouard  12579:            for(j=1; j <=ncovmodel; j++){
1.319     brouard  12580:              wald=p[jk]/sqrt(matcov[jk][jk]);
                   12581:              printf("%12.7f(%12.7f) W=%8.3f CI=[%12.7f ; %12.7f] ",p[jk],sqrt(matcov[jk][jk]), p[jk]/sqrt(matcov[jk][jk]), p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk]));
                   12582:              fprintf(ficlog,"%12.7f(%12.7f) W=%8.3f CI=[%12.7f ; %12.7f] ",p[jk],sqrt(matcov[jk][jk]), p[jk]/sqrt(matcov[jk][jk]), p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk]));
                   12583:              if(fabs(wald) > 1.96){
                   12584:                fprintf(fichtm, "<td><b>%12.7f</b> (%12.7f)</br>",p[jk],sqrt(matcov[jk][jk]));
                   12585:                fprintf(fichtm,"<b>W=%8.3f</b></br>",wald);
                   12586:              }else{
                   12587:                fprintf(fichtm, "<td>%12.7f (%12.7f)</br>",p[jk],sqrt(matcov[jk][jk]));
                   12588:                fprintf(fichtm,"W=%8.3f</br>",wald);
                   12589:              }
                   12590:              fprintf(fichtm,"[%12.7f;%12.7f]</br></td>", p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk]));
1.225     brouard  12591:              jk++; 
                   12592:            }
                   12593:            printf("\n");
                   12594:            fprintf(ficlog,"\n");
1.319     brouard  12595:            fprintf(fichtm, "</tr>\n");
1.225     brouard  12596:          }
                   12597:        }
1.193     brouard  12598:       }
1.203     brouard  12599:     } /* end of hesscov and Wald tests */
1.319     brouard  12600:     fprintf(fichtm,"</table>\n");
1.225     brouard  12601:     
1.203     brouard  12602:     /*  */
1.126     brouard  12603:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   12604:     printf("# Scales (for hessian or gradient estimation)\n");
                   12605:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   12606:     for(i=1,jk=1; i <=nlstate; i++){
                   12607:       for(j=1; j <=nlstate+ndeath; j++){
1.225     brouard  12608:        if (j!=i) {
                   12609:          fprintf(ficres,"%1d%1d",i,j);
                   12610:          printf("%1d%1d",i,j);
                   12611:          fprintf(ficlog,"%1d%1d",i,j);
                   12612:          for(k=1; k<=ncovmodel;k++){
                   12613:            printf(" %.5e",delti[jk]);
                   12614:            fprintf(ficlog," %.5e",delti[jk]);
                   12615:            fprintf(ficres," %.5e",delti[jk]);
                   12616:            jk++;
                   12617:          }
                   12618:          printf("\n");
                   12619:          fprintf(ficlog,"\n");
                   12620:          fprintf(ficres,"\n");
                   12621:        }
1.126     brouard  12622:       }
                   12623:     }
                   12624:     
                   12625:     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  12626:     if(mle >= 1) /* To big for the screen */
1.126     brouard  12627:       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");
                   12628:     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");
                   12629:     /* # 121 Var(a12)\n\ */
                   12630:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   12631:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   12632:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   12633:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   12634:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   12635:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   12636:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   12637:     
                   12638:     
                   12639:     /* Just to have a covariance matrix which will be more understandable
                   12640:        even is we still don't want to manage dictionary of variables
                   12641:     */
                   12642:     for(itimes=1;itimes<=2;itimes++){
                   12643:       jj=0;
                   12644:       for(i=1; i <=nlstate; i++){
1.225     brouard  12645:        for(j=1; j <=nlstate+ndeath; j++){
                   12646:          if(j==i) continue;
                   12647:          for(k=1; k<=ncovmodel;k++){
                   12648:            jj++;
                   12649:            ca[0]= k+'a'-1;ca[1]='\0';
                   12650:            if(itimes==1){
                   12651:              if(mle>=1)
                   12652:                printf("#%1d%1d%d",i,j,k);
                   12653:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
                   12654:              fprintf(ficres,"#%1d%1d%d",i,j,k);
                   12655:            }else{
                   12656:              if(mle>=1)
                   12657:                printf("%1d%1d%d",i,j,k);
                   12658:              fprintf(ficlog,"%1d%1d%d",i,j,k);
                   12659:              fprintf(ficres,"%1d%1d%d",i,j,k);
                   12660:            }
                   12661:            ll=0;
                   12662:            for(li=1;li <=nlstate; li++){
                   12663:              for(lj=1;lj <=nlstate+ndeath; lj++){
                   12664:                if(lj==li) continue;
                   12665:                for(lk=1;lk<=ncovmodel;lk++){
                   12666:                  ll++;
                   12667:                  if(ll<=jj){
                   12668:                    cb[0]= lk +'a'-1;cb[1]='\0';
                   12669:                    if(ll<jj){
                   12670:                      if(itimes==1){
                   12671:                        if(mle>=1)
                   12672:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12673:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12674:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12675:                      }else{
                   12676:                        if(mle>=1)
                   12677:                          printf(" %.5e",matcov[jj][ll]); 
                   12678:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   12679:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   12680:                      }
                   12681:                    }else{
                   12682:                      if(itimes==1){
                   12683:                        if(mle>=1)
                   12684:                          printf(" Var(%s%1d%1d)",ca,i,j);
                   12685:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                   12686:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                   12687:                      }else{
                   12688:                        if(mle>=1)
                   12689:                          printf(" %.7e",matcov[jj][ll]); 
                   12690:                        fprintf(ficlog," %.7e",matcov[jj][ll]); 
                   12691:                        fprintf(ficres," %.7e",matcov[jj][ll]); 
                   12692:                      }
                   12693:                    }
                   12694:                  }
                   12695:                } /* end lk */
                   12696:              } /* end lj */
                   12697:            } /* end li */
                   12698:            if(mle>=1)
                   12699:              printf("\n");
                   12700:            fprintf(ficlog,"\n");
                   12701:            fprintf(ficres,"\n");
                   12702:            numlinepar++;
                   12703:          } /* end k*/
                   12704:        } /*end j */
1.126     brouard  12705:       } /* end i */
                   12706:     } /* end itimes */
                   12707:     
                   12708:     fflush(ficlog);
                   12709:     fflush(ficres);
1.225     brouard  12710:     while(fgets(line, MAXLINE, ficpar)) {
                   12711:       /* If line starts with a # it is a comment */
                   12712:       if (line[0] == '#') {
                   12713:        numlinepar++;
                   12714:        fputs(line,stdout);
                   12715:        fputs(line,ficparo);
                   12716:        fputs(line,ficlog);
1.299     brouard  12717:        fputs(line,ficres);
1.225     brouard  12718:        continue;
                   12719:       }else
                   12720:        break;
                   12721:     }
                   12722:     
1.209     brouard  12723:     /* while((c=getc(ficpar))=='#' && c!= EOF){ */
                   12724:     /*   ungetc(c,ficpar); */
                   12725:     /*   fgets(line, MAXLINE, ficpar); */
                   12726:     /*   fputs(line,stdout); */
                   12727:     /*   fputs(line,ficparo); */
                   12728:     /* } */
                   12729:     /* ungetc(c,ficpar); */
1.126     brouard  12730:     
                   12731:     estepm=0;
1.209     brouard  12732:     if((num_filled=sscanf(line,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm, &ftolpl)) !=EOF){
1.225     brouard  12733:       
                   12734:       if (num_filled != 6) {
                   12735:        printf("Error: Not 6 parameters in line, for example:agemin=60 agemax=95 bage=55 fage=95 estepm=24 ftolpl=6e-4\n, your line=%s . Probably you are running an older format.\n",line);
                   12736:        fprintf(ficlog,"Error: Not 6 parameters in line, for example:agemin=60 agemax=95 bage=55 fage=95 estepm=24 ftolpl=6e-4\n, your line=%s . Probably you are running an older format.\n",line);
                   12737:        goto end;
                   12738:       }
                   12739:       printf("agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",ageminpar,agemaxpar, bage, fage, estepm, ftolpl);
                   12740:     }
                   12741:     /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
                   12742:     /*ftolpl=6.e-4;*/ /* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
                   12743:     
1.209     brouard  12744:     /* fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm); */
1.126     brouard  12745:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   12746:     if (fage <= 2) {
                   12747:       bage = ageminpar;
                   12748:       fage = agemaxpar;
                   12749:     }
                   12750:     
                   12751:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
1.211     brouard  12752:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
                   12753:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d, ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
1.220     brouard  12754:                
1.186     brouard  12755:     /* Other stuffs, more or less useful */    
1.254     brouard  12756:     while(fgets(line, MAXLINE, ficpar)) {
                   12757:       /* If line starts with a # it is a comment */
                   12758:       if (line[0] == '#') {
                   12759:        numlinepar++;
                   12760:        fputs(line,stdout);
                   12761:        fputs(line,ficparo);
                   12762:        fputs(line,ficlog);
1.299     brouard  12763:        fputs(line,ficres);
1.254     brouard  12764:        continue;
                   12765:       }else
                   12766:        break;
                   12767:     }
                   12768: 
                   12769:     if((num_filled=sscanf(line,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf mov_average=%d\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2,&mobilav)) !=EOF){
                   12770:       
                   12771:       if (num_filled != 7) {
                   12772:        printf("Error: Not 7 (data)parameters in line but %d, for example:begin-prev-date=1/1/1990 end-prev-date=1/6/2004  mov_average=0\n, your line=%s . Probably you are running an older format.\n",num_filled,line);
                   12773:        fprintf(ficlog,"Error: Not 7 (data)parameters in line but %d, for example:begin-prev-date=1/1/1990 end-prev-date=1/6/2004  mov_average=0\n, your line=%s . Probably you are running an older format.\n",num_filled,line);
                   12774:        goto end;
                   12775:       }
                   12776:       printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   12777:       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);
                   12778:       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);
                   12779:       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);
1.126     brouard  12780:     }
1.254     brouard  12781: 
                   12782:     while(fgets(line, MAXLINE, ficpar)) {
                   12783:       /* If line starts with a # it is a comment */
                   12784:       if (line[0] == '#') {
                   12785:        numlinepar++;
                   12786:        fputs(line,stdout);
                   12787:        fputs(line,ficparo);
                   12788:        fputs(line,ficlog);
1.299     brouard  12789:        fputs(line,ficres);
1.254     brouard  12790:        continue;
                   12791:       }else
                   12792:        break;
1.126     brouard  12793:     }
                   12794:     
                   12795:     
                   12796:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   12797:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   12798:     
1.254     brouard  12799:     if((num_filled=sscanf(line,"pop_based=%d\n",&popbased)) !=EOF){
                   12800:       if (num_filled != 1) {
                   12801:        printf("Error: Not 1 (data)parameters in line but %d, for example:pop_based=0\n, your line=%s . Probably you are running an older format.\n",num_filled,line);
                   12802:        fprintf(ficlog,"Error: Not 1 (data)parameters in line but %d, for example: pop_based=1\n, your line=%s . Probably you are running an older format.\n",num_filled,line);
                   12803:        goto end;
                   12804:       }
                   12805:       printf("pop_based=%d\n",popbased);
                   12806:       fprintf(ficlog,"pop_based=%d\n",popbased);
                   12807:       fprintf(ficparo,"pop_based=%d\n",popbased);   
                   12808:       fprintf(ficres,"pop_based=%d\n",popbased);   
                   12809:     }
                   12810:      
1.258     brouard  12811:     /* Results */
1.307     brouard  12812:     endishere=0;
1.258     brouard  12813:     nresult=0;
1.308     brouard  12814:     parameterline=0;
1.258     brouard  12815:     do{
                   12816:       if(!fgets(line, MAXLINE, ficpar)){
                   12817:        endishere=1;
1.308     brouard  12818:        parameterline=15;
1.258     brouard  12819:       }else if (line[0] == '#') {
                   12820:        /* If line starts with a # it is a comment */
1.254     brouard  12821:        numlinepar++;
                   12822:        fputs(line,stdout);
                   12823:        fputs(line,ficparo);
                   12824:        fputs(line,ficlog);
1.299     brouard  12825:        fputs(line,ficres);
1.254     brouard  12826:        continue;
1.258     brouard  12827:       }else if(sscanf(line,"prevforecast=%[^\n]\n",modeltemp))
                   12828:        parameterline=11;
1.296     brouard  12829:       else if(sscanf(line,"prevbackcast=%[^\n]\n",modeltemp))
1.258     brouard  12830:        parameterline=12;
1.307     brouard  12831:       else if(sscanf(line,"result:%[^\n]\n",modeltemp)){
1.258     brouard  12832:        parameterline=13;
1.307     brouard  12833:       }
1.258     brouard  12834:       else{
                   12835:        parameterline=14;
1.254     brouard  12836:       }
1.308     brouard  12837:       switch (parameterline){ /* =0 only if only comments */
1.258     brouard  12838:       case 11:
1.296     brouard  12839:        if((num_filled=sscanf(line,"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)) !=EOF && (num_filled == 8)){
                   12840:                  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);
1.258     brouard  12841:          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);
                   12842:          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);
                   12843:          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);
                   12844:          /* day and month of proj2 are not used but only year anproj2.*/
1.273     brouard  12845:          dateproj1=anproj1+(mproj1-1)/12.+(jproj1-1)/365.;
                   12846:          dateproj2=anproj2+(mproj2-1)/12.+(jproj2-1)/365.;
1.296     brouard  12847:           prvforecast = 1;
                   12848:        } 
                   12849:        else if((num_filled=sscanf(line,"prevforecast=%d yearsfproj=%lf mobil_average=%d\n",&prevfcast,&yrfproj,&mobilavproj)) !=EOF){/* && (num_filled == 3))*/
1.313     brouard  12850:          printf("prevforecast=%d yearsfproj=%.2lf mobil_average=%d\n",prevfcast,yrfproj,mobilavproj);
                   12851:          fprintf(ficlog,"prevforecast=%d yearsfproj=%.2lf mobil_average=%d\n",prevfcast,yrfproj,mobilavproj);
                   12852:          fprintf(ficres,"prevforecast=%d yearsfproj=%.2lf mobil_average=%d\n",prevfcast,yrfproj,mobilavproj);
1.296     brouard  12853:           prvforecast = 2;
                   12854:        }
                   12855:        else {
                   12856:          printf("Error: Not 8 (data)parameters in line but %d, for example:prevforecast=1 starting-proj-date=1/1/1990 final-proj-date=1/1/2000 mobil_average=0\nnor 3 (data)parameters, for example:prevforecast=1 yearsfproj=10 mobil_average=0. Your line=%s . You are running probably an older format.\n, ",num_filled,line);
                   12857:          fprintf(ficlog,"Error: Not 8 (data)parameters in line but %d, for example:prevforecast=1 starting-proj-date=1/1/1990 final-proj-date=1/1/2000 mobil_average=0\nnor 3 (data)parameters, for example:prevforecast=1 yearproj=10 mobil_average=0. Your line=%s . You are running probably an older format.\n, ",num_filled,line);
                   12858:          goto end;
1.258     brouard  12859:        }
1.254     brouard  12860:        break;
1.258     brouard  12861:       case 12:
1.296     brouard  12862:        if((num_filled=sscanf(line,"prevbackcast=%d starting-back-date=%lf/%lf/%lf final-back-date=%lf/%lf/%lf mobil_average=%d\n",&prevbcast,&jback1,&mback1,&anback1,&jback2,&mback2,&anback2,&mobilavproj)) !=EOF && (num_filled == 8)){
                   12863:           fprintf(ficparo,"prevbackcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevbcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj);
                   12864:          printf("prevbackcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevbcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj);
                   12865:          fprintf(ficlog,"prevbackcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevbcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj);
                   12866:          fprintf(ficres,"prevbackcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevbcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj);
                   12867:          /* day and month of back2 are not used but only year anback2.*/
1.273     brouard  12868:          dateback1=anback1+(mback1-1)/12.+(jback1-1)/365.;
                   12869:          dateback2=anback2+(mback2-1)/12.+(jback2-1)/365.;
1.296     brouard  12870:           prvbackcast = 1;
                   12871:        } 
                   12872:        else if((num_filled=sscanf(line,"prevbackcast=%d yearsbproj=%lf mobil_average=%d\n",&prevbcast,&yrbproj,&mobilavproj)) ==3){/* && (num_filled == 3))*/
1.313     brouard  12873:          printf("prevbackcast=%d yearsbproj=%.2lf mobil_average=%d\n",prevbcast,yrbproj,mobilavproj);
                   12874:          fprintf(ficlog,"prevbackcast=%d yearsbproj=%.2lf mobil_average=%d\n",prevbcast,yrbproj,mobilavproj);
                   12875:          fprintf(ficres,"prevbackcast=%d yearsbproj=%.2lf mobil_average=%d\n",prevbcast,yrbproj,mobilavproj);
1.296     brouard  12876:           prvbackcast = 2;
                   12877:        }
                   12878:        else {
                   12879:          printf("Error: Not 8 (data)parameters in line but %d, for example:prevbackcast=1 starting-back-date=1/1/1990 final-back-date=1/1/2000 mobil_average=0\nnor 3 (data)parameters, for example:prevbackcast=1 yearsbproj=10 mobil_average=0. Your line=%s . You are running probably an older format.\n, ",num_filled,line);
                   12880:          fprintf(ficlog,"Error: Not 8 (data)parameters in line but %d, for example:prevbackcast=1 starting-back-date=1/1/1990 final-back-date=1/1/2000 mobil_average=0\nnor 3 (data)parameters, for example:prevbackcast=1 yearbproj=10 mobil_average=0. Your line=%s . You are running probably an older format.\n, ",num_filled,line);
                   12881:          goto end;
1.258     brouard  12882:        }
1.230     brouard  12883:        break;
1.258     brouard  12884:       case 13:
1.307     brouard  12885:        num_filled=sscanf(line,"result:%[^\n]\n",resultline);
                   12886:        nresult++; /* Sum of resultlines */
                   12887:        printf("Result %d: result:%s\n",nresult, resultline);
1.318     brouard  12888:        if(nresult > MAXRESULTLINESPONE-1){
                   12889:          printf("ERROR: Current version of IMaCh limits the number of resultlines to %d, you used %d\nYou can use the 'r' parameter file '%s' which uses option mle=0 to get other results. ",MAXRESULTLINESPONE-1,nresult,rfileres);
                   12890:          fprintf(ficlog,"ERROR: Current version of IMaCh limits the number of resultlines to %d, you used %d\nYou can use the 'r' parameter file '%s' which uses option mle=0 to get other results. ",MAXRESULTLINESPONE-1,nresult,rfileres);
1.307     brouard  12891:          goto end;
                   12892:        }
1.310     brouard  12893:        if(!decoderesult(resultline, nresult)){ /* Fills TKresult[nresult] combination and Tresult[nresult][k4+1] combination values */
1.314     brouard  12894:          fprintf(ficparo,"result: %s\n",resultline);
                   12895:          fprintf(ficres,"result: %s\n",resultline);
                   12896:          fprintf(ficlog,"result: %s\n",resultline);
1.310     brouard  12897:        } else
                   12898:          goto end;
1.307     brouard  12899:        break;
                   12900:       case 14:
                   12901:        printf("Error: Unknown command '%s'\n",line);
                   12902:        fprintf(ficlog,"Error: Unknown command '%s'\n",line);
1.314     brouard  12903:        if(line[0] == ' ' || line[0] == '\n'){
                   12904:          printf("It should not be an empty line '%s'\n",line);
                   12905:          fprintf(ficlog,"It should not be an empty line '%s'\n",line);
                   12906:        }         
1.307     brouard  12907:        if(ncovmodel >=2 && nresult==0 ){
                   12908:          printf("ERROR: no result lines! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",line);
                   12909:          fprintf(ficlog,"ERROR: no result lines! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",line);
1.258     brouard  12910:        }
1.307     brouard  12911:        /* goto end; */
                   12912:        break;
1.308     brouard  12913:       case 15:
                   12914:        printf("End of resultlines.\n");
                   12915:        fprintf(ficlog,"End of resultlines.\n");
                   12916:        break;
                   12917:       default: /* parameterline =0 */
1.307     brouard  12918:        nresult=1;
                   12919:        decoderesult(".",nresult ); /* No covariate */
1.258     brouard  12920:       } /* End switch parameterline */
                   12921:     }while(endishere==0); /* End do */
1.126     brouard  12922:     
1.230     brouard  12923:     /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
1.145     brouard  12924:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  12925:     
                   12926:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  12927:     if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
1.230     brouard  12928:       printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  12929: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12930: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.230     brouard  12931:       fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  12932: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12933: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  12934:     }else{
1.270     brouard  12935:       /* printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, prevfcast, backcast, pathc,p, (int)anproj1-(int)agemin, (int)anback1-(int)agemax+1); */
1.296     brouard  12936:       /* It seems that anprojd which is computed from the mean year at interview which is known yet because of freqsummary */
                   12937:       /* date2dmy(dateintmean,&jintmean,&mintmean,&aintmean); */ /* Done in freqsummary */
                   12938:       if(prvforecast==1){
                   12939:         dateprojd=(jproj1+12*mproj1+365*anproj1)/365;
                   12940:         jprojd=jproj1;
                   12941:         mprojd=mproj1;
                   12942:         anprojd=anproj1;
                   12943:         dateprojf=(jproj2+12*mproj2+365*anproj2)/365;
                   12944:         jprojf=jproj2;
                   12945:         mprojf=mproj2;
                   12946:         anprojf=anproj2;
                   12947:       } else if(prvforecast == 2){
                   12948:         dateprojd=dateintmean;
                   12949:         date2dmy(dateprojd,&jprojd, &mprojd, &anprojd);
                   12950:         dateprojf=dateintmean+yrfproj;
                   12951:         date2dmy(dateprojf,&jprojf, &mprojf, &anprojf);
                   12952:       }
                   12953:       if(prvbackcast==1){
                   12954:         datebackd=(jback1+12*mback1+365*anback1)/365;
                   12955:         jbackd=jback1;
                   12956:         mbackd=mback1;
                   12957:         anbackd=anback1;
                   12958:         datebackf=(jback2+12*mback2+365*anback2)/365;
                   12959:         jbackf=jback2;
                   12960:         mbackf=mback2;
                   12961:         anbackf=anback2;
                   12962:       } else if(prvbackcast == 2){
                   12963:         datebackd=dateintmean;
                   12964:         date2dmy(datebackd,&jbackd, &mbackd, &anbackd);
                   12965:         datebackf=dateintmean-yrbproj;
                   12966:         date2dmy(datebackf,&jbackf, &mbackf, &anbackf);
                   12967:       }
                   12968:       
                   12969:       printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,bage, fage, prevfcast, prevbcast, pathc,p, (int)anprojd-bage, (int)anbackd-fage);
1.220     brouard  12970:     }
                   12971:     printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt, \
1.296     brouard  12972:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,mobilav,prevfcast,mobilavproj,prevbcast, estepm, \
                   12973:                 jprev1,mprev1,anprev1,dateprev1, dateprojd, datebackd,jprev2,mprev2,anprev2,dateprev2,dateprojf, datebackf);
1.220     brouard  12974:                
1.225     brouard  12975:     /*------------ free_vector  -------------*/
                   12976:     /*  chdir(path); */
1.220     brouard  12977:                
1.215     brouard  12978:     /* free_ivector(wav,1,imx); */  /* Moved after last prevalence call */
                   12979:     /* free_imatrix(dh,1,lastpass-firstpass+2,1,imx); */
                   12980:     /* free_imatrix(bh,1,lastpass-firstpass+2,1,imx); */
                   12981:     /* free_imatrix(mw,1,lastpass-firstpass+2,1,imx);    */
1.290     brouard  12982:     free_lvector(num,firstobs,lastobs);
                   12983:     free_vector(agedc,firstobs,lastobs);
1.126     brouard  12984:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   12985:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   12986:     fclose(ficparo);
                   12987:     fclose(ficres);
1.220     brouard  12988:                
                   12989:                
1.186     brouard  12990:     /* Other results (useful)*/
1.220     brouard  12991:                
                   12992:                
1.126     brouard  12993:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  12994:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   12995:     prlim=matrix(1,nlstate,1,nlstate);
1.209     brouard  12996:     prevalence_limit(p, prlim,  ageminpar, agemaxpar, ftolpl, &ncvyear);
1.126     brouard  12997:     fclose(ficrespl);
                   12998: 
                   12999:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  13000:     /*#include "hpijx.h"*/
                   13001:     hPijx(p, bage, fage);
1.145     brouard  13002:     fclose(ficrespij);
1.227     brouard  13003:     
1.220     brouard  13004:     /* ncovcombmax=  pow(2,cptcoveff); */
1.219     brouard  13005:     /*-------------- Variance of one-step probabilities---*/
1.145     brouard  13006:     k=1;
1.126     brouard  13007:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
1.227     brouard  13008:     
1.269     brouard  13009:     /* Prevalence for each covariate combination in probs[age][status][cov] */
                   13010:     probs= ma3x(AGEINF,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
                   13011:     for(i=AGEINF;i<=AGESUP;i++)
1.219     brouard  13012:       for(j=1;j<=nlstate+ndeath;j++) /* ndeath is useless but a necessity to be compared with mobaverages */
1.225     brouard  13013:        for(k=1;k<=ncovcombmax;k++)
                   13014:          probs[i][j][k]=0.;
1.269     brouard  13015:     prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, 
                   13016:               ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
1.219     brouard  13017:     if (mobilav!=0 ||mobilavproj !=0 ) {
1.269     brouard  13018:       mobaverages= ma3x(AGEINF, AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
                   13019:       for(i=AGEINF;i<=AGESUP;i++)
1.268     brouard  13020:        for(j=1;j<=nlstate+ndeath;j++)
1.227     brouard  13021:          for(k=1;k<=ncovcombmax;k++)
                   13022:            mobaverages[i][j][k]=0.;
1.219     brouard  13023:       mobaverage=mobaverages;
                   13024:       if (mobilav!=0) {
1.235     brouard  13025:        printf("Movingaveraging observed prevalence\n");
1.258     brouard  13026:        fprintf(ficlog,"Movingaveraging observed prevalence\n");
1.227     brouard  13027:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilav)!=0){
                   13028:          fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   13029:          printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   13030:        }
1.269     brouard  13031:       } else if (mobilavproj !=0) {
1.235     brouard  13032:        printf("Movingaveraging projected observed prevalence\n");
1.258     brouard  13033:        fprintf(ficlog,"Movingaveraging projected observed prevalence\n");
1.227     brouard  13034:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilavproj)!=0){
                   13035:          fprintf(ficlog," Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   13036:          printf(" Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   13037:        }
1.269     brouard  13038:       }else{
                   13039:        printf("Internal error moving average\n");
                   13040:        fflush(stdout);
                   13041:        exit(1);
1.219     brouard  13042:       }
                   13043:     }/* end if moving average */
1.227     brouard  13044:     
1.126     brouard  13045:     /*---------- Forecasting ------------------*/
1.296     brouard  13046:     if(prevfcast==1){ 
                   13047:       /*   /\*    if(stepm ==1){*\/ */
                   13048:       /*   /\*  anproj1, mproj1, jproj1 either read explicitly or yrfproj *\/ */
                   13049:       /*This done previously after freqsummary.*/
                   13050:       /*   dateprojd=(jproj1+12*mproj1+365*anproj1)/365; */
                   13051:       /*   dateprojf=(jproj2+12*mproj2+365*anproj2)/365; */
                   13052:       
                   13053:       /* } else if (prvforecast==2){ */
                   13054:       /*   /\*    if(stepm ==1){*\/ */
                   13055:       /*   /\*  anproj1, mproj1, jproj1 either read explicitly or yrfproj *\/ */
                   13056:       /* } */
                   13057:       /*prevforecast(fileresu, dateintmean, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, mobaverage, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);*/
                   13058:       prevforecast(fileresu,dateintmean, dateprojd, dateprojf, agemin, agemax, dateprev1, dateprev2, mobilavproj, mobaverage, bage, fage, firstpass, lastpass, p, cptcoveff);
1.126     brouard  13059:     }
1.269     brouard  13060: 
1.296     brouard  13061:     /* Prevbcasting */
                   13062:     if(prevbcast==1){
1.219     brouard  13063:       ddnewms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   13064:       ddoldms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   13065:       ddsavms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);
                   13066: 
                   13067:       /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
                   13068: 
                   13069:       bprlim=matrix(1,nlstate,1,nlstate);
1.269     brouard  13070: 
1.219     brouard  13071:       back_prevalence_limit(p, bprlim,  ageminpar, agemaxpar, ftolpl, &ncvyear, dateprev1, dateprev2, firstpass, lastpass, mobilavproj);
                   13072:       fclose(ficresplb);
                   13073: 
1.222     brouard  13074:       hBijx(p, bage, fage, mobaverage);
                   13075:       fclose(ficrespijb);
1.219     brouard  13076: 
1.296     brouard  13077:       /* /\* prevbackforecast(fileresu, mobaverage, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, *\/ */
                   13078:       /* /\*                  mobilavproj, bage, fage, firstpass, lastpass, anback2, p, cptcoveff); *\/ */
                   13079:       /* prevbackforecast(fileresu, mobaverage, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, */
                   13080:       /*                      mobilavproj, bage, fage, firstpass, lastpass, anback2, p, cptcoveff); */
                   13081:       prevbackforecast(fileresu, mobaverage, dateintmean, dateprojd, dateprojf, agemin, agemax, dateprev1, dateprev2,
                   13082:                       mobilavproj, bage, fage, firstpass, lastpass, p, cptcoveff);
                   13083: 
                   13084:       
1.269     brouard  13085:       varbprlim(fileresu, nresult, mobaverage, mobilavproj, bage, fage, bprlim, &ncvyear, ftolpl, p, matcov, delti, stepm, cptcoveff);
1.268     brouard  13086: 
                   13087:       
1.269     brouard  13088:       free_matrix(bprlim,1,nlstate,1,nlstate); /*here or after loop ? */
1.219     brouard  13089:       free_matrix(ddnewms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   13090:       free_matrix(ddsavms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   13091:       free_matrix(ddoldms, 1, nlstate+ndeath, 1, nlstate+ndeath);
1.296     brouard  13092:     }    /* end  Prevbcasting */
1.268     brouard  13093:  
1.186     brouard  13094:  
                   13095:     /* ------ Other prevalence ratios------------ */
1.126     brouard  13096: 
1.215     brouard  13097:     free_ivector(wav,1,imx);
                   13098:     free_imatrix(dh,1,lastpass-firstpass+2,1,imx);
                   13099:     free_imatrix(bh,1,lastpass-firstpass+2,1,imx);
                   13100:     free_imatrix(mw,1,lastpass-firstpass+2,1,imx);   
1.218     brouard  13101:                
                   13102:                
1.127     brouard  13103:     /*---------- Health expectancies, no variances ------------*/
1.218     brouard  13104:                
1.201     brouard  13105:     strcpy(filerese,"E_");
                   13106:     strcat(filerese,fileresu);
1.126     brouard  13107:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   13108:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   13109:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   13110:     }
1.208     brouard  13111:     printf("Computing Health Expectancies: result on file '%s' ...", filerese);fflush(stdout);
                   13112:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' ...", filerese);fflush(ficlog);
1.238     brouard  13113: 
                   13114:     pstamp(ficreseij);
1.219     brouard  13115:                
1.235     brouard  13116:     i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
                   13117:     if (cptcovn < 1){i1=1;}
                   13118:     
                   13119:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   13120:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  13121:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  13122:        continue;
1.219     brouard  13123:       fprintf(ficreseij,"\n#****** ");
1.235     brouard  13124:       printf("\n#****** ");
1.225     brouard  13125:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  13126:        fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  13127:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   13128:       }
                   13129:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   13130:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   13131:        fprintf(ficreseij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
1.219     brouard  13132:       }
                   13133:       fprintf(ficreseij,"******\n");
1.235     brouard  13134:       printf("******\n");
1.219     brouard  13135:       
                   13136:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   13137:       oldm=oldms;savm=savms;
1.235     brouard  13138:       evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart, nres);  
1.127     brouard  13139:       
1.219     brouard  13140:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.127     brouard  13141:     }
                   13142:     fclose(ficreseij);
1.208     brouard  13143:     printf("done evsij\n");fflush(stdout);
                   13144:     fprintf(ficlog,"done evsij\n");fflush(ficlog);
1.269     brouard  13145: 
1.218     brouard  13146:                
1.227     brouard  13147:     /*---------- State-specific expectancies and variances ------------*/
1.218     brouard  13148:                
1.201     brouard  13149:     strcpy(filerest,"T_");
                   13150:     strcat(filerest,fileresu);
1.127     brouard  13151:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   13152:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   13153:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   13154:     }
1.208     brouard  13155:     printf("Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(stdout);
                   13156:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(ficlog);
1.201     brouard  13157:     strcpy(fileresstde,"STDE_");
                   13158:     strcat(fileresstde,fileresu);
1.126     brouard  13159:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
1.227     brouard  13160:       printf("Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   13161:       fprintf(ficlog,"Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
1.126     brouard  13162:     }
1.227     brouard  13163:     printf("  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   13164:     fprintf(ficlog,"  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
1.126     brouard  13165: 
1.201     brouard  13166:     strcpy(filerescve,"CVE_");
                   13167:     strcat(filerescve,fileresu);
1.126     brouard  13168:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
1.227     brouard  13169:       printf("Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
                   13170:       fprintf(ficlog,"Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
1.126     brouard  13171:     }
1.227     brouard  13172:     printf("    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
                   13173:     fprintf(ficlog,"    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
1.126     brouard  13174: 
1.201     brouard  13175:     strcpy(fileresv,"V_");
                   13176:     strcat(fileresv,fileresu);
1.126     brouard  13177:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   13178:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   13179:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   13180:     }
1.227     brouard  13181:     printf("      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(stdout);
                   13182:     fprintf(ficlog,"      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(ficlog);
1.126     brouard  13183: 
1.235     brouard  13184:     i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
                   13185:     if (cptcovn < 1){i1=1;}
                   13186:     
                   13187:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   13188:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  13189:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  13190:        continue;
1.242     brouard  13191:       printf("\n#****** Result for:");
                   13192:       fprintf(ficrest,"\n#****** Result for:");
                   13193:       fprintf(ficlog,"\n#****** Result for:");
1.227     brouard  13194:       for(j=1;j<=cptcoveff;j++){ 
                   13195:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   13196:        fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   13197:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   13198:       }
1.235     brouard  13199:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   13200:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   13201:        fprintf(ficrest," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   13202:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   13203:       }        
1.208     brouard  13204:       fprintf(ficrest,"******\n");
1.227     brouard  13205:       fprintf(ficlog,"******\n");
                   13206:       printf("******\n");
1.208     brouard  13207:       
                   13208:       fprintf(ficresstdeij,"\n#****** ");
                   13209:       fprintf(ficrescveij,"\n#****** ");
1.225     brouard  13210:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  13211:        fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   13212:        fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  13213:       }
1.235     brouard  13214:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   13215:        fprintf(ficresstdeij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   13216:        fprintf(ficrescveij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   13217:       }        
1.208     brouard  13218:       fprintf(ficresstdeij,"******\n");
                   13219:       fprintf(ficrescveij,"******\n");
                   13220:       
                   13221:       fprintf(ficresvij,"\n#****** ");
1.238     brouard  13222:       /* pstamp(ficresvij); */
1.225     brouard  13223:       for(j=1;j<=cptcoveff;j++) 
1.227     brouard  13224:        fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  13225:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   13226:        fprintf(ficresvij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   13227:       }        
1.208     brouard  13228:       fprintf(ficresvij,"******\n");
                   13229:       
                   13230:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   13231:       oldm=oldms;savm=savms;
1.235     brouard  13232:       printf(" cvevsij ");
                   13233:       fprintf(ficlog, " cvevsij ");
                   13234:       cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart, nres);
1.208     brouard  13235:       printf(" end cvevsij \n ");
                   13236:       fprintf(ficlog, " end cvevsij \n ");
                   13237:       
                   13238:       /*
                   13239:        */
                   13240:       /* goto endfree; */
                   13241:       
                   13242:       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   13243:       pstamp(ficrest);
                   13244:       
1.269     brouard  13245:       epj=vector(1,nlstate+1);
1.208     brouard  13246:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.227     brouard  13247:        oldm=oldms;savm=savms; /* ZZ Segmentation fault */
                   13248:        cptcod= 0; /* To be deleted */
                   13249:        printf("varevsij vpopbased=%d \n",vpopbased);
                   13250:        fprintf(ficlog, "varevsij vpopbased=%d \n",vpopbased);
1.235     brouard  13251:        varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, &ncvyear, k, estepm, cptcov,cptcod,vpopbased,mobilav, strstart, nres); /* cptcod not initialized Intel */
1.227     brouard  13252:        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 ");
                   13253:        if(vpopbased==1)
                   13254:          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);
                   13255:        else
1.288     brouard  13256:          fprintf(ficrest,"the age specific forward period (stable) prevalences in each health state \n");
1.227     brouard  13257:        fprintf(ficrest,"# Age popbased mobilav e.. (std) ");
                   13258:        for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
                   13259:        fprintf(ficrest,"\n");
                   13260:        /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
1.288     brouard  13261:        printf("Computing age specific forward period (stable) prevalences in each health state \n");
                   13262:        fprintf(ficlog,"Computing age specific forward period (stable) prevalences in each health state \n");
1.227     brouard  13263:        for(age=bage; age <=fage ;age++){
1.235     brouard  13264:          prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, &ncvyear, k, nres); /*ZZ Is it the correct prevalim */
1.227     brouard  13265:          if (vpopbased==1) {
                   13266:            if(mobilav ==0){
                   13267:              for(i=1; i<=nlstate;i++)
                   13268:                prlim[i][i]=probs[(int)age][i][k];
                   13269:            }else{ /* mobilav */ 
                   13270:              for(i=1; i<=nlstate;i++)
                   13271:                prlim[i][i]=mobaverage[(int)age][i][k];
                   13272:            }
                   13273:          }
1.219     brouard  13274:          
1.227     brouard  13275:          fprintf(ficrest," %4.0f %d %d",age, vpopbased, mobilav);
                   13276:          /* fprintf(ficrest," %4.0f %d %d %d %d",age, vpopbased, mobilav,Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */ /* to be done */
                   13277:          /* printf(" age %4.0f ",age); */
                   13278:          for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                   13279:            for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   13280:              epj[j] += prlim[i][i]*eij[i][j][(int)age];
                   13281:              /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   13282:              /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
                   13283:            }
                   13284:            epj[nlstate+1] +=epj[j];
                   13285:          }
                   13286:          /* printf(" age %4.0f \n",age); */
1.219     brouard  13287:          
1.227     brouard  13288:          for(i=1, vepp=0.;i <=nlstate;i++)
                   13289:            for(j=1;j <=nlstate;j++)
                   13290:              vepp += vareij[i][j][(int)age];
                   13291:          fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
                   13292:          for(j=1;j <=nlstate;j++){
                   13293:            fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
                   13294:          }
                   13295:          fprintf(ficrest,"\n");
                   13296:        }
1.208     brouard  13297:       } /* End vpopbased */
1.269     brouard  13298:       free_vector(epj,1,nlstate+1);
1.208     brouard  13299:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   13300:       free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.235     brouard  13301:       printf("done selection\n");fflush(stdout);
                   13302:       fprintf(ficlog,"done selection\n");fflush(ficlog);
1.208     brouard  13303:       
1.235     brouard  13304:     } /* End k selection */
1.227     brouard  13305: 
                   13306:     printf("done State-specific expectancies\n");fflush(stdout);
                   13307:     fprintf(ficlog,"done State-specific expectancies\n");fflush(ficlog);
                   13308: 
1.288     brouard  13309:     /* variance-covariance of forward period prevalence*/
1.269     brouard  13310:     varprlim(fileresu, nresult, mobaverage, mobilavproj, bage, fage, prlim, &ncvyear, ftolpl, p, matcov, delti, stepm, cptcoveff);
1.268     brouard  13311: 
1.227     brouard  13312:     
1.290     brouard  13313:     free_vector(weight,firstobs,lastobs);
1.227     brouard  13314:     free_imatrix(Tvard,1,NCOVMAX,1,2);
1.290     brouard  13315:     free_imatrix(s,1,maxwav+1,firstobs,lastobs);
                   13316:     free_matrix(anint,1,maxwav,firstobs,lastobs); 
                   13317:     free_matrix(mint,1,maxwav,firstobs,lastobs);
                   13318:     free_ivector(cod,firstobs,lastobs);
1.227     brouard  13319:     free_ivector(tab,1,NCOVMAX);
                   13320:     fclose(ficresstdeij);
                   13321:     fclose(ficrescveij);
                   13322:     fclose(ficresvij);
                   13323:     fclose(ficrest);
                   13324:     fclose(ficpar);
                   13325:     
                   13326:     
1.126     brouard  13327:     /*---------- End : free ----------------*/
1.219     brouard  13328:     if (mobilav!=0 ||mobilavproj !=0)
1.269     brouard  13329:       free_ma3x(mobaverages,AGEINF, AGESUP,1,nlstate+ndeath, 1,ncovcombmax); /* We need to have a squared matrix with prevalence of the dead! */
                   13330:     free_ma3x(probs,AGEINF,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.220     brouard  13331:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
                   13332:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
1.126     brouard  13333:   }  /* mle==-3 arrives here for freeing */
1.227     brouard  13334:   /* endfree:*/
                   13335:   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   13336:   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   13337:   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
1.290     brouard  13338:   if(ntv+nqtv>=1)free_ma3x(cotvar,1,maxwav,1,ntv+nqtv,firstobs,lastobs);
                   13339:   if(nqtv>=1)free_ma3x(cotqvar,1,maxwav,1,nqtv,firstobs,lastobs);
                   13340:   if(nqv>=1)free_matrix(coqvar,1,nqv,firstobs,lastobs);
                   13341:   free_matrix(covar,0,NCOVMAX,firstobs,lastobs);
1.227     brouard  13342:   free_matrix(matcov,1,npar,1,npar);
                   13343:   free_matrix(hess,1,npar,1,npar);
                   13344:   /*free_vector(delti,1,npar);*/
                   13345:   free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   13346:   free_matrix(agev,1,maxwav,1,imx);
1.269     brouard  13347:   free_ma3x(paramstart,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
1.227     brouard  13348:   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   13349:   
                   13350:   free_ivector(ncodemax,1,NCOVMAX);
                   13351:   free_ivector(ncodemaxwundef,1,NCOVMAX);
                   13352:   free_ivector(Dummy,-1,NCOVMAX);
                   13353:   free_ivector(Fixed,-1,NCOVMAX);
1.238     brouard  13354:   free_ivector(DummyV,1,NCOVMAX);
                   13355:   free_ivector(FixedV,1,NCOVMAX);
1.227     brouard  13356:   free_ivector(Typevar,-1,NCOVMAX);
                   13357:   free_ivector(Tvar,1,NCOVMAX);
1.234     brouard  13358:   free_ivector(TvarsQ,1,NCOVMAX);
                   13359:   free_ivector(TvarsQind,1,NCOVMAX);
                   13360:   free_ivector(TvarsD,1,NCOVMAX);
                   13361:   free_ivector(TvarsDind,1,NCOVMAX);
1.231     brouard  13362:   free_ivector(TvarFD,1,NCOVMAX);
                   13363:   free_ivector(TvarFDind,1,NCOVMAX);
1.232     brouard  13364:   free_ivector(TvarF,1,NCOVMAX);
                   13365:   free_ivector(TvarFind,1,NCOVMAX);
                   13366:   free_ivector(TvarV,1,NCOVMAX);
                   13367:   free_ivector(TvarVind,1,NCOVMAX);
                   13368:   free_ivector(TvarA,1,NCOVMAX);
                   13369:   free_ivector(TvarAind,1,NCOVMAX);
1.231     brouard  13370:   free_ivector(TvarFQ,1,NCOVMAX);
                   13371:   free_ivector(TvarFQind,1,NCOVMAX);
                   13372:   free_ivector(TvarVD,1,NCOVMAX);
                   13373:   free_ivector(TvarVDind,1,NCOVMAX);
                   13374:   free_ivector(TvarVQ,1,NCOVMAX);
                   13375:   free_ivector(TvarVQind,1,NCOVMAX);
1.230     brouard  13376:   free_ivector(Tvarsel,1,NCOVMAX);
                   13377:   free_vector(Tvalsel,1,NCOVMAX);
1.227     brouard  13378:   free_ivector(Tposprod,1,NCOVMAX);
                   13379:   free_ivector(Tprod,1,NCOVMAX);
                   13380:   free_ivector(Tvaraff,1,NCOVMAX);
                   13381:   free_ivector(invalidvarcomb,1,ncovcombmax);
                   13382:   free_ivector(Tage,1,NCOVMAX);
                   13383:   free_ivector(Tmodelind,1,NCOVMAX);
1.228     brouard  13384:   free_ivector(TmodelInvind,1,NCOVMAX);
                   13385:   free_ivector(TmodelInvQind,1,NCOVMAX);
1.227     brouard  13386:   
                   13387:   free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
                   13388:   /* free_imatrix(codtab,1,100,1,10); */
1.126     brouard  13389:   fflush(fichtm);
                   13390:   fflush(ficgp);
                   13391:   
1.227     brouard  13392:   
1.126     brouard  13393:   if((nberr >0) || (nbwarn>0)){
1.216     brouard  13394:     printf("End of Imach with %d errors and/or %d warnings. Please look at the log file for details.\n",nberr,nbwarn);
                   13395:     fprintf(ficlog,"End of Imach with %d errors and/or warnings %d. Please look at the log file for details.\n",nberr,nbwarn);
1.126     brouard  13396:   }else{
                   13397:     printf("End of Imach\n");
                   13398:     fprintf(ficlog,"End of Imach\n");
                   13399:   }
                   13400:   printf("See log file on %s\n",filelog);
                   13401:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  13402:   /*(void) gettimeofday(&end_time,&tzp);*/
                   13403:   rend_time = time(NULL);  
                   13404:   end_time = *localtime(&rend_time);
                   13405:   /* tml = *localtime(&end_time.tm_sec); */
                   13406:   strcpy(strtend,asctime(&end_time));
1.126     brouard  13407:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   13408:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  13409:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.227     brouard  13410:   
1.157     brouard  13411:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   13412:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   13413:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  13414:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   13415: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   13416:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   13417:   fclose(fichtm);
                   13418:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   13419:   fclose(fichtmcov);
                   13420:   fclose(ficgp);
                   13421:   fclose(ficlog);
                   13422:   /*------ End -----------*/
1.227     brouard  13423:   
1.281     brouard  13424: 
                   13425: /* Executes gnuplot */
1.227     brouard  13426:   
                   13427:   printf("Before Current directory %s!\n",pathcd);
1.184     brouard  13428: #ifdef WIN32
1.227     brouard  13429:   if (_chdir(pathcd) != 0)
                   13430:     printf("Can't move to directory %s!\n",path);
                   13431:   if(_getcwd(pathcd,MAXLINE) > 0)
1.184     brouard  13432: #else
1.227     brouard  13433:     if(chdir(pathcd) != 0)
                   13434:       printf("Can't move to directory %s!\n", path);
                   13435:   if (getcwd(pathcd, MAXLINE) > 0)
1.184     brouard  13436: #endif 
1.126     brouard  13437:     printf("Current directory %s!\n",pathcd);
                   13438:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   13439:   sprintf(plotcmd,"gnuplot");
1.157     brouard  13440: #ifdef _WIN32
1.126     brouard  13441:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   13442: #endif
                   13443:   if(!stat(plotcmd,&info)){
1.158     brouard  13444:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  13445:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  13446:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  13447:     }else
                   13448:       strcpy(pplotcmd,plotcmd);
1.157     brouard  13449: #ifdef __unix
1.126     brouard  13450:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   13451:     if(!stat(plotcmd,&info)){
1.158     brouard  13452:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  13453:     }else
                   13454:       strcpy(pplotcmd,plotcmd);
                   13455: #endif
                   13456:   }else
                   13457:     strcpy(pplotcmd,plotcmd);
                   13458:   
                   13459:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  13460:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.292     brouard  13461:   strcpy(pplotcmd,plotcmd);
1.227     brouard  13462:   
1.126     brouard  13463:   if((outcmd=system(plotcmd)) != 0){
1.292     brouard  13464:     printf("Error in gnuplot, command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  13465:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  13466:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.292     brouard  13467:     if((outcmd=system(plotcmd)) != 0){
1.153     brouard  13468:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.292     brouard  13469:       strcpy(plotcmd,pplotcmd);
                   13470:     }
1.126     brouard  13471:   }
1.158     brouard  13472:   printf(" Successful, please wait...");
1.126     brouard  13473:   while (z[0] != 'q') {
                   13474:     /* chdir(path); */
1.154     brouard  13475:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  13476:     scanf("%s",z);
                   13477: /*     if (z[0] == 'c') system("./imach"); */
                   13478:     if (z[0] == 'e') {
1.158     brouard  13479: #ifdef __APPLE__
1.152     brouard  13480:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  13481: #elif __linux
                   13482:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  13483: #else
1.152     brouard  13484:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  13485: #endif
                   13486:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   13487:       system(pplotcmd);
1.126     brouard  13488:     }
                   13489:     else if (z[0] == 'g') system(plotcmd);
                   13490:     else if (z[0] == 'q') exit(0);
                   13491:   }
1.227     brouard  13492: end:
1.126     brouard  13493:   while (z[0] != 'q') {
1.195     brouard  13494:     printf("\nType  q for exiting: "); fflush(stdout);
1.126     brouard  13495:     scanf("%s",z);
                   13496:   }
1.283     brouard  13497:   printf("End\n");
1.282     brouard  13498:   exit(0);
1.126     brouard  13499: }

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