Annotation of imach/src/imach.c, revision 1.312

1.312   ! brouard     1: /* $Id: imach.c,v 1.311 2022/04/05 21:03:51 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.312   ! brouard     4:   Revision 1.311  2022/04/05 21:03:51  brouard
        !             5:   Summary: Fixed quantitative covariates
        !             6: 
        !             7:          Fixed covariates (dummy or quantitative)
        !             8:        with missing values have never been allowed but are ERRORS and
        !             9:        program quits. Standard deviations of fixed covariates were
        !            10:        wrongly computed. Mean and standard deviations of time varying
        !            11:        covariates are still not computed.
        !            12: 
1.311     brouard    13:   Revision 1.310  2022/03/17 08:45:53  brouard
                     14:   Summary: 99r25
                     15: 
                     16:   Improving detection of errors: result lines should be compatible with
                     17:   the model.
                     18: 
1.310     brouard    19:   Revision 1.309  2021/05/20 12:39:14  brouard
                     20:   Summary: Version 0.99r24
                     21: 
1.309     brouard    22:   Revision 1.308  2021/03/31 13:11:57  brouard
                     23:   Summary: Version 0.99r23
                     24: 
                     25: 
                     26:   * imach.c (Module): Still bugs in the result loop. Thank to Holly Benett
                     27: 
1.308     brouard    28:   Revision 1.307  2021/03/08 18:11:32  brouard
                     29:   Summary: 0.99r22 fixed bug on result:
                     30: 
1.307     brouard    31:   Revision 1.306  2021/02/20 15:44:02  brouard
                     32:   Summary: Version 0.99r21
                     33: 
                     34:   * imach.c (Module): Fix bug on quitting after result lines!
                     35:   (Module): Version 0.99r21
                     36: 
1.306     brouard    37:   Revision 1.305  2021/02/20 15:28:30  brouard
                     38:   * imach.c (Module): Fix bug on quitting after result lines!
                     39: 
1.305     brouard    40:   Revision 1.304  2021/02/12 11:34:20  brouard
                     41:   * imach.c (Module): The use of a Windows BOM (huge) file is now an error
                     42: 
1.304     brouard    43:   Revision 1.303  2021/02/11 19:50:15  brouard
                     44:   *  (Module): imach.c Someone entered 'results:' instead of 'result:'. Now it is an error which is printed.
                     45: 
1.303     brouard    46:   Revision 1.302  2020/02/22 21:00:05  brouard
                     47:   *  (Module): imach.c Update mle=-3 (for computing Life expectancy
                     48:   and life table from the data without any state)
                     49: 
1.302     brouard    50:   Revision 1.301  2019/06/04 13:51:20  brouard
                     51:   Summary: Error in 'r'parameter file backcast yearsbproj instead of yearsfproj
                     52: 
1.301     brouard    53:   Revision 1.300  2019/05/22 19:09:45  brouard
                     54:   Summary: version 0.99r19 of May 2019
                     55: 
1.300     brouard    56:   Revision 1.299  2019/05/22 18:37:08  brouard
                     57:   Summary: Cleaned 0.99r19
                     58: 
1.299     brouard    59:   Revision 1.298  2019/05/22 18:19:56  brouard
                     60:   *** empty log message ***
                     61: 
1.298     brouard    62:   Revision 1.297  2019/05/22 17:56:10  brouard
                     63:   Summary: Fix bug by moving date2dmy and nhstepm which gaefin=-1
                     64: 
1.297     brouard    65:   Revision 1.296  2019/05/20 13:03:18  brouard
                     66:   Summary: Projection syntax simplified
                     67: 
                     68: 
                     69:   We can now start projections, forward or backward, from the mean date
                     70:   of inteviews up to or down to a number of years of projection:
                     71:   prevforecast=1 yearsfproj=15.3 mobil_average=0
                     72:   or
                     73:   prevforecast=1 starting-proj-date=1/1/2007 final-proj-date=12/31/2017 mobil_average=0
                     74:   or
                     75:   prevbackcast=1 yearsbproj=12.3 mobil_average=1
                     76:   or
                     77:   prevbackcast=1 starting-back-date=1/10/1999 final-back-date=1/1/1985 mobil_average=1
                     78: 
1.296     brouard    79:   Revision 1.295  2019/05/18 09:52:50  brouard
                     80:   Summary: doxygen tex bug
                     81: 
1.295     brouard    82:   Revision 1.294  2019/05/16 14:54:33  brouard
                     83:   Summary: There was some wrong lines added
                     84: 
1.294     brouard    85:   Revision 1.293  2019/05/09 15:17:34  brouard
                     86:   *** empty log message ***
                     87: 
1.293     brouard    88:   Revision 1.292  2019/05/09 14:17:20  brouard
                     89:   Summary: Some updates
                     90: 
1.292     brouard    91:   Revision 1.291  2019/05/09 13:44:18  brouard
                     92:   Summary: Before ncovmax
                     93: 
1.291     brouard    94:   Revision 1.290  2019/05/09 13:39:37  brouard
                     95:   Summary: 0.99r18 unlimited number of individuals
                     96: 
                     97:   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.
                     98: 
1.290     brouard    99:   Revision 1.289  2018/12/13 09:16:26  brouard
                    100:   Summary: Bug for young ages (<-30) will be in r17
                    101: 
1.289     brouard   102:   Revision 1.288  2018/05/02 20:58:27  brouard
                    103:   Summary: Some bugs fixed
                    104: 
1.288     brouard   105:   Revision 1.287  2018/05/01 17:57:25  brouard
                    106:   Summary: Bug fixed by providing frequencies only for non missing covariates
                    107: 
1.287     brouard   108:   Revision 1.286  2018/04/27 14:27:04  brouard
                    109:   Summary: some minor bugs
                    110: 
1.286     brouard   111:   Revision 1.285  2018/04/21 21:02:16  brouard
                    112:   Summary: Some bugs fixed, valgrind tested
                    113: 
1.285     brouard   114:   Revision 1.284  2018/04/20 05:22:13  brouard
                    115:   Summary: Computing mean and stdeviation of fixed quantitative variables
                    116: 
1.284     brouard   117:   Revision 1.283  2018/04/19 14:49:16  brouard
                    118:   Summary: Some minor bugs fixed
                    119: 
1.283     brouard   120:   Revision 1.282  2018/02/27 22:50:02  brouard
                    121:   *** empty log message ***
                    122: 
1.282     brouard   123:   Revision 1.281  2018/02/27 19:25:23  brouard
                    124:   Summary: Adding second argument for quitting
                    125: 
1.281     brouard   126:   Revision 1.280  2018/02/21 07:58:13  brouard
                    127:   Summary: 0.99r15
                    128: 
                    129:   New Makefile with recent VirtualBox 5.26. Bug in sqrt negatve in imach.c
                    130: 
1.280     brouard   131:   Revision 1.279  2017/07/20 13:35:01  brouard
                    132:   Summary: temporary working
                    133: 
1.279     brouard   134:   Revision 1.278  2017/07/19 14:09:02  brouard
                    135:   Summary: Bug for mobil_average=0 and prevforecast fixed(?)
                    136: 
1.278     brouard   137:   Revision 1.277  2017/07/17 08:53:49  brouard
                    138:   Summary: BOM files can be read now
                    139: 
1.277     brouard   140:   Revision 1.276  2017/06/30 15:48:31  brouard
                    141:   Summary: Graphs improvements
                    142: 
1.276     brouard   143:   Revision 1.275  2017/06/30 13:39:33  brouard
                    144:   Summary: Saito's color
                    145: 
1.275     brouard   146:   Revision 1.274  2017/06/29 09:47:08  brouard
                    147:   Summary: Version 0.99r14
                    148: 
1.274     brouard   149:   Revision 1.273  2017/06/27 11:06:02  brouard
                    150:   Summary: More documentation on projections
                    151: 
1.273     brouard   152:   Revision 1.272  2017/06/27 10:22:40  brouard
                    153:   Summary: Color of backprojection changed from 6 to 5(yellow)
                    154: 
1.272     brouard   155:   Revision 1.271  2017/06/27 10:17:50  brouard
                    156:   Summary: Some bug with rint
                    157: 
1.271     brouard   158:   Revision 1.270  2017/05/24 05:45:29  brouard
                    159:   *** empty log message ***
                    160: 
1.270     brouard   161:   Revision 1.269  2017/05/23 08:39:25  brouard
                    162:   Summary: Code into subroutine, cleanings
                    163: 
1.269     brouard   164:   Revision 1.268  2017/05/18 20:09:32  brouard
                    165:   Summary: backprojection and confidence intervals of backprevalence
                    166: 
1.268     brouard   167:   Revision 1.267  2017/05/13 10:25:05  brouard
                    168:   Summary: temporary save for backprojection
                    169: 
1.267     brouard   170:   Revision 1.266  2017/05/13 07:26:12  brouard
                    171:   Summary: Version 0.99r13 (improvements and bugs fixed)
                    172: 
1.266     brouard   173:   Revision 1.265  2017/04/26 16:22:11  brouard
                    174:   Summary: imach 0.99r13 Some bugs fixed
                    175: 
1.265     brouard   176:   Revision 1.264  2017/04/26 06:01:29  brouard
                    177:   Summary: Labels in graphs
                    178: 
1.264     brouard   179:   Revision 1.263  2017/04/24 15:23:15  brouard
                    180:   Summary: to save
                    181: 
1.263     brouard   182:   Revision 1.262  2017/04/18 16:48:12  brouard
                    183:   *** empty log message ***
                    184: 
1.262     brouard   185:   Revision 1.261  2017/04/05 10:14:09  brouard
                    186:   Summary: Bug in E_ as well as in T_ fixed nres-1 vs k1-1
                    187: 
1.261     brouard   188:   Revision 1.260  2017/04/04 17:46:59  brouard
                    189:   Summary: Gnuplot indexations fixed (humm)
                    190: 
1.260     brouard   191:   Revision 1.259  2017/04/04 13:01:16  brouard
                    192:   Summary: Some errors to warnings only if date of death is unknown but status is death we could set to pi3
                    193: 
1.259     brouard   194:   Revision 1.258  2017/04/03 10:17:47  brouard
                    195:   Summary: Version 0.99r12
                    196: 
                    197:   Some cleanings, conformed with updated documentation.
                    198: 
1.258     brouard   199:   Revision 1.257  2017/03/29 16:53:30  brouard
                    200:   Summary: Temp
                    201: 
1.257     brouard   202:   Revision 1.256  2017/03/27 05:50:23  brouard
                    203:   Summary: Temporary
                    204: 
1.256     brouard   205:   Revision 1.255  2017/03/08 16:02:28  brouard
                    206:   Summary: IMaCh version 0.99r10 bugs in gnuplot fixed
                    207: 
1.255     brouard   208:   Revision 1.254  2017/03/08 07:13:00  brouard
                    209:   Summary: Fixing data parameter line
                    210: 
1.254     brouard   211:   Revision 1.253  2016/12/15 11:59:41  brouard
                    212:   Summary: 0.99 in progress
                    213: 
1.253     brouard   214:   Revision 1.252  2016/09/15 21:15:37  brouard
                    215:   *** empty log message ***
                    216: 
1.252     brouard   217:   Revision 1.251  2016/09/15 15:01:13  brouard
                    218:   Summary: not working
                    219: 
1.251     brouard   220:   Revision 1.250  2016/09/08 16:07:27  brouard
                    221:   Summary: continue
                    222: 
1.250     brouard   223:   Revision 1.249  2016/09/07 17:14:18  brouard
                    224:   Summary: Starting values from frequencies
                    225: 
1.249     brouard   226:   Revision 1.248  2016/09/07 14:10:18  brouard
                    227:   *** empty log message ***
                    228: 
1.248     brouard   229:   Revision 1.247  2016/09/02 11:11:21  brouard
                    230:   *** empty log message ***
                    231: 
1.247     brouard   232:   Revision 1.246  2016/09/02 08:49:22  brouard
                    233:   *** empty log message ***
                    234: 
1.246     brouard   235:   Revision 1.245  2016/09/02 07:25:01  brouard
                    236:   *** empty log message ***
                    237: 
1.245     brouard   238:   Revision 1.244  2016/09/02 07:17:34  brouard
                    239:   *** empty log message ***
                    240: 
1.244     brouard   241:   Revision 1.243  2016/09/02 06:45:35  brouard
                    242:   *** empty log message ***
                    243: 
1.243     brouard   244:   Revision 1.242  2016/08/30 15:01:20  brouard
                    245:   Summary: Fixing a lots
                    246: 
1.242     brouard   247:   Revision 1.241  2016/08/29 17:17:25  brouard
                    248:   Summary: gnuplot problem in Back projection to fix
                    249: 
1.241     brouard   250:   Revision 1.240  2016/08/29 07:53:18  brouard
                    251:   Summary: Better
                    252: 
1.240     brouard   253:   Revision 1.239  2016/08/26 15:51:03  brouard
                    254:   Summary: Improvement in Powell output in order to copy and paste
                    255: 
                    256:   Author:
                    257: 
1.239     brouard   258:   Revision 1.238  2016/08/26 14:23:35  brouard
                    259:   Summary: Starting tests of 0.99
                    260: 
1.238     brouard   261:   Revision 1.237  2016/08/26 09:20:19  brouard
                    262:   Summary: to valgrind
                    263: 
1.237     brouard   264:   Revision 1.236  2016/08/25 10:50:18  brouard
                    265:   *** empty log message ***
                    266: 
1.236     brouard   267:   Revision 1.235  2016/08/25 06:59:23  brouard
                    268:   *** empty log message ***
                    269: 
1.235     brouard   270:   Revision 1.234  2016/08/23 16:51:20  brouard
                    271:   *** empty log message ***
                    272: 
1.234     brouard   273:   Revision 1.233  2016/08/23 07:40:50  brouard
                    274:   Summary: not working
                    275: 
1.233     brouard   276:   Revision 1.232  2016/08/22 14:20:21  brouard
                    277:   Summary: not working
                    278: 
1.232     brouard   279:   Revision 1.231  2016/08/22 07:17:15  brouard
                    280:   Summary: not working
                    281: 
1.231     brouard   282:   Revision 1.230  2016/08/22 06:55:53  brouard
                    283:   Summary: Not working
                    284: 
1.230     brouard   285:   Revision 1.229  2016/07/23 09:45:53  brouard
                    286:   Summary: Completing for func too
                    287: 
1.229     brouard   288:   Revision 1.228  2016/07/22 17:45:30  brouard
                    289:   Summary: Fixing some arrays, still debugging
                    290: 
1.227     brouard   291:   Revision 1.226  2016/07/12 18:42:34  brouard
                    292:   Summary: temp
                    293: 
1.226     brouard   294:   Revision 1.225  2016/07/12 08:40:03  brouard
                    295:   Summary: saving but not running
                    296: 
1.225     brouard   297:   Revision 1.224  2016/07/01 13:16:01  brouard
                    298:   Summary: Fixes
                    299: 
1.224     brouard   300:   Revision 1.223  2016/02/19 09:23:35  brouard
                    301:   Summary: temporary
                    302: 
1.223     brouard   303:   Revision 1.222  2016/02/17 08:14:50  brouard
                    304:   Summary: Probably last 0.98 stable version 0.98r6
                    305: 
1.222     brouard   306:   Revision 1.221  2016/02/15 23:35:36  brouard
                    307:   Summary: minor bug
                    308: 
1.220     brouard   309:   Revision 1.219  2016/02/15 00:48:12  brouard
                    310:   *** empty log message ***
                    311: 
1.219     brouard   312:   Revision 1.218  2016/02/12 11:29:23  brouard
                    313:   Summary: 0.99 Back projections
                    314: 
1.218     brouard   315:   Revision 1.217  2015/12/23 17:18:31  brouard
                    316:   Summary: Experimental backcast
                    317: 
1.217     brouard   318:   Revision 1.216  2015/12/18 17:32:11  brouard
                    319:   Summary: 0.98r4 Warning and status=-2
                    320: 
                    321:   Version 0.98r4 is now:
                    322:    - displaying an error when status is -1, date of interview unknown and date of death known;
                    323:    - permitting a status -2 when the vital status is unknown at a known date of right truncation.
                    324:   Older changes concerning s=-2, dating from 2005 have been supersed.
                    325: 
1.216     brouard   326:   Revision 1.215  2015/12/16 08:52:24  brouard
                    327:   Summary: 0.98r4 working
                    328: 
1.215     brouard   329:   Revision 1.214  2015/12/16 06:57:54  brouard
                    330:   Summary: temporary not working
                    331: 
1.214     brouard   332:   Revision 1.213  2015/12/11 18:22:17  brouard
                    333:   Summary: 0.98r4
                    334: 
1.213     brouard   335:   Revision 1.212  2015/11/21 12:47:24  brouard
                    336:   Summary: minor typo
                    337: 
1.212     brouard   338:   Revision 1.211  2015/11/21 12:41:11  brouard
                    339:   Summary: 0.98r3 with some graph of projected cross-sectional
                    340: 
                    341:   Author: Nicolas Brouard
                    342: 
1.211     brouard   343:   Revision 1.210  2015/11/18 17:41:20  brouard
1.252     brouard   344:   Summary: Start working on projected prevalences  Revision 1.209  2015/11/17 22:12:03  brouard
1.210     brouard   345:   Summary: Adding ftolpl parameter
                    346:   Author: N Brouard
                    347: 
                    348:   We had difficulties to get smoothed confidence intervals. It was due
                    349:   to the period prevalence which wasn't computed accurately. The inner
                    350:   parameter ftolpl is now an outer parameter of the .imach parameter
                    351:   file after estepm. If ftolpl is small 1.e-4 and estepm too,
                    352:   computation are long.
                    353: 
1.209     brouard   354:   Revision 1.208  2015/11/17 14:31:57  brouard
                    355:   Summary: temporary
                    356: 
1.208     brouard   357:   Revision 1.207  2015/10/27 17:36:57  brouard
                    358:   *** empty log message ***
                    359: 
1.207     brouard   360:   Revision 1.206  2015/10/24 07:14:11  brouard
                    361:   *** empty log message ***
                    362: 
1.206     brouard   363:   Revision 1.205  2015/10/23 15:50:53  brouard
                    364:   Summary: 0.98r3 some clarification for graphs on likelihood contributions
                    365: 
1.205     brouard   366:   Revision 1.204  2015/10/01 16:20:26  brouard
                    367:   Summary: Some new graphs of contribution to likelihood
                    368: 
1.204     brouard   369:   Revision 1.203  2015/09/30 17:45:14  brouard
                    370:   Summary: looking at better estimation of the hessian
                    371: 
                    372:   Also a better criteria for convergence to the period prevalence And
                    373:   therefore adding the number of years needed to converge. (The
                    374:   prevalence in any alive state shold sum to one
                    375: 
1.203     brouard   376:   Revision 1.202  2015/09/22 19:45:16  brouard
                    377:   Summary: Adding some overall graph on contribution to likelihood. Might change
                    378: 
1.202     brouard   379:   Revision 1.201  2015/09/15 17:34:58  brouard
                    380:   Summary: 0.98r0
                    381: 
                    382:   - Some new graphs like suvival functions
                    383:   - Some bugs fixed like model=1+age+V2.
                    384: 
1.201     brouard   385:   Revision 1.200  2015/09/09 16:53:55  brouard
                    386:   Summary: Big bug thanks to Flavia
                    387: 
                    388:   Even model=1+age+V2. did not work anymore
                    389: 
1.200     brouard   390:   Revision 1.199  2015/09/07 14:09:23  brouard
                    391:   Summary: 0.98q6 changing default small png format for graph to vectorized svg.
                    392: 
1.199     brouard   393:   Revision 1.198  2015/09/03 07:14:39  brouard
                    394:   Summary: 0.98q5 Flavia
                    395: 
1.198     brouard   396:   Revision 1.197  2015/09/01 18:24:39  brouard
                    397:   *** empty log message ***
                    398: 
1.197     brouard   399:   Revision 1.196  2015/08/18 23:17:52  brouard
                    400:   Summary: 0.98q5
                    401: 
1.196     brouard   402:   Revision 1.195  2015/08/18 16:28:39  brouard
                    403:   Summary: Adding a hack for testing purpose
                    404: 
                    405:   After reading the title, ftol and model lines, if the comment line has
                    406:   a q, starting with #q, the answer at the end of the run is quit. It
                    407:   permits to run test files in batch with ctest. The former workaround was
                    408:   $ echo q | imach foo.imach
                    409: 
1.195     brouard   410:   Revision 1.194  2015/08/18 13:32:00  brouard
                    411:   Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
                    412: 
1.194     brouard   413:   Revision 1.193  2015/08/04 07:17:42  brouard
                    414:   Summary: 0.98q4
                    415: 
1.193     brouard   416:   Revision 1.192  2015/07/16 16:49:02  brouard
                    417:   Summary: Fixing some outputs
                    418: 
1.192     brouard   419:   Revision 1.191  2015/07/14 10:00:33  brouard
                    420:   Summary: Some fixes
                    421: 
1.191     brouard   422:   Revision 1.190  2015/05/05 08:51:13  brouard
                    423:   Summary: Adding digits in output parameters (7 digits instead of 6)
                    424: 
                    425:   Fix 1+age+.
                    426: 
1.190     brouard   427:   Revision 1.189  2015/04/30 14:45:16  brouard
                    428:   Summary: 0.98q2
                    429: 
1.189     brouard   430:   Revision 1.188  2015/04/30 08:27:53  brouard
                    431:   *** empty log message ***
                    432: 
1.188     brouard   433:   Revision 1.187  2015/04/29 09:11:15  brouard
                    434:   *** empty log message ***
                    435: 
1.187     brouard   436:   Revision 1.186  2015/04/23 12:01:52  brouard
                    437:   Summary: V1*age is working now, version 0.98q1
                    438: 
                    439:   Some codes had been disabled in order to simplify and Vn*age was
                    440:   working in the optimization phase, ie, giving correct MLE parameters,
                    441:   but, as usual, outputs were not correct and program core dumped.
                    442: 
1.186     brouard   443:   Revision 1.185  2015/03/11 13:26:42  brouard
                    444:   Summary: Inclusion of compile and links command line for Intel Compiler
                    445: 
1.185     brouard   446:   Revision 1.184  2015/03/11 11:52:39  brouard
                    447:   Summary: Back from Windows 8. Intel Compiler
                    448: 
1.184     brouard   449:   Revision 1.183  2015/03/10 20:34:32  brouard
                    450:   Summary: 0.98q0, trying with directest, mnbrak fixed
                    451: 
                    452:   We use directest instead of original Powell test; probably no
                    453:   incidence on the results, but better justifications;
                    454:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                    455:   wrong results.
                    456: 
1.183     brouard   457:   Revision 1.182  2015/02/12 08:19:57  brouard
                    458:   Summary: Trying to keep directest which seems simpler and more general
                    459:   Author: Nicolas Brouard
                    460: 
1.182     brouard   461:   Revision 1.181  2015/02/11 23:22:24  brouard
                    462:   Summary: Comments on Powell added
                    463: 
                    464:   Author:
                    465: 
1.181     brouard   466:   Revision 1.180  2015/02/11 17:33:45  brouard
                    467:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                    468: 
1.180     brouard   469:   Revision 1.179  2015/01/04 09:57:06  brouard
                    470:   Summary: back to OS/X
                    471: 
1.179     brouard   472:   Revision 1.178  2015/01/04 09:35:48  brouard
                    473:   *** empty log message ***
                    474: 
1.178     brouard   475:   Revision 1.177  2015/01/03 18:40:56  brouard
                    476:   Summary: Still testing ilc32 on OSX
                    477: 
1.177     brouard   478:   Revision 1.176  2015/01/03 16:45:04  brouard
                    479:   *** empty log message ***
                    480: 
1.176     brouard   481:   Revision 1.175  2015/01/03 16:33:42  brouard
                    482:   *** empty log message ***
                    483: 
1.175     brouard   484:   Revision 1.174  2015/01/03 16:15:49  brouard
                    485:   Summary: Still in cross-compilation
                    486: 
1.174     brouard   487:   Revision 1.173  2015/01/03 12:06:26  brouard
                    488:   Summary: trying to detect cross-compilation
                    489: 
1.173     brouard   490:   Revision 1.172  2014/12/27 12:07:47  brouard
                    491:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                    492: 
1.172     brouard   493:   Revision 1.171  2014/12/23 13:26:59  brouard
                    494:   Summary: Back from Visual C
                    495: 
                    496:   Still problem with utsname.h on Windows
                    497: 
1.171     brouard   498:   Revision 1.170  2014/12/23 11:17:12  brouard
                    499:   Summary: Cleaning some \%% back to %%
                    500: 
                    501:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                    502: 
1.170     brouard   503:   Revision 1.169  2014/12/22 23:08:31  brouard
                    504:   Summary: 0.98p
                    505: 
                    506:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                    507: 
1.169     brouard   508:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard   509:   Summary: update
1.169     brouard   510: 
1.168     brouard   511:   Revision 1.167  2014/12/22 13:50:56  brouard
                    512:   Summary: Testing uname and compiler version and if compiled 32 or 64
                    513: 
                    514:   Testing on Linux 64
                    515: 
1.167     brouard   516:   Revision 1.166  2014/12/22 11:40:47  brouard
                    517:   *** empty log message ***
                    518: 
1.166     brouard   519:   Revision 1.165  2014/12/16 11:20:36  brouard
                    520:   Summary: After compiling on Visual C
                    521: 
                    522:   * imach.c (Module): Merging 1.61 to 1.162
                    523: 
1.165     brouard   524:   Revision 1.164  2014/12/16 10:52:11  brouard
                    525:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    526: 
                    527:   * imach.c (Module): Merging 1.61 to 1.162
                    528: 
1.164     brouard   529:   Revision 1.163  2014/12/16 10:30:11  brouard
                    530:   * imach.c (Module): Merging 1.61 to 1.162
                    531: 
1.163     brouard   532:   Revision 1.162  2014/09/25 11:43:39  brouard
                    533:   Summary: temporary backup 0.99!
                    534: 
1.162     brouard   535:   Revision 1.1  2014/09/16 11:06:58  brouard
                    536:   Summary: With some code (wrong) for nlopt
                    537: 
                    538:   Author:
                    539: 
                    540:   Revision 1.161  2014/09/15 20:41:41  brouard
                    541:   Summary: Problem with macro SQR on Intel compiler
                    542: 
1.161     brouard   543:   Revision 1.160  2014/09/02 09:24:05  brouard
                    544:   *** empty log message ***
                    545: 
1.160     brouard   546:   Revision 1.159  2014/09/01 10:34:10  brouard
                    547:   Summary: WIN32
                    548:   Author: Brouard
                    549: 
1.159     brouard   550:   Revision 1.158  2014/08/27 17:11:51  brouard
                    551:   *** empty log message ***
                    552: 
1.158     brouard   553:   Revision 1.157  2014/08/27 16:26:55  brouard
                    554:   Summary: Preparing windows Visual studio version
                    555:   Author: Brouard
                    556: 
                    557:   In order to compile on Visual studio, time.h is now correct and time_t
                    558:   and tm struct should be used. difftime should be used but sometimes I
                    559:   just make the differences in raw time format (time(&now).
                    560:   Trying to suppress #ifdef LINUX
                    561:   Add xdg-open for __linux in order to open default browser.
                    562: 
1.157     brouard   563:   Revision 1.156  2014/08/25 20:10:10  brouard
                    564:   *** empty log message ***
                    565: 
1.156     brouard   566:   Revision 1.155  2014/08/25 18:32:34  brouard
                    567:   Summary: New compile, minor changes
                    568:   Author: Brouard
                    569: 
1.155     brouard   570:   Revision 1.154  2014/06/20 17:32:08  brouard
                    571:   Summary: Outputs now all graphs of convergence to period prevalence
                    572: 
1.154     brouard   573:   Revision 1.153  2014/06/20 16:45:46  brouard
                    574:   Summary: If 3 live state, convergence to period prevalence on same graph
                    575:   Author: Brouard
                    576: 
1.153     brouard   577:   Revision 1.152  2014/06/18 17:54:09  brouard
                    578:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    579: 
1.152     brouard   580:   Revision 1.151  2014/06/18 16:43:30  brouard
                    581:   *** empty log message ***
                    582: 
1.151     brouard   583:   Revision 1.150  2014/06/18 16:42:35  brouard
                    584:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    585:   Author: brouard
                    586: 
1.150     brouard   587:   Revision 1.149  2014/06/18 15:51:14  brouard
                    588:   Summary: Some fixes in parameter files errors
                    589:   Author: Nicolas Brouard
                    590: 
1.149     brouard   591:   Revision 1.148  2014/06/17 17:38:48  brouard
                    592:   Summary: Nothing new
                    593:   Author: Brouard
                    594: 
                    595:   Just a new packaging for OS/X version 0.98nS
                    596: 
1.148     brouard   597:   Revision 1.147  2014/06/16 10:33:11  brouard
                    598:   *** empty log message ***
                    599: 
1.147     brouard   600:   Revision 1.146  2014/06/16 10:20:28  brouard
                    601:   Summary: Merge
                    602:   Author: Brouard
                    603: 
                    604:   Merge, before building revised version.
                    605: 
1.146     brouard   606:   Revision 1.145  2014/06/10 21:23:15  brouard
                    607:   Summary: Debugging with valgrind
                    608:   Author: Nicolas Brouard
                    609: 
                    610:   Lot of changes in order to output the results with some covariates
                    611:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    612:   improve the code.
                    613:   No more memory valgrind error but a lot has to be done in order to
                    614:   continue the work of splitting the code into subroutines.
                    615:   Also, decodemodel has been improved. Tricode is still not
                    616:   optimal. nbcode should be improved. Documentation has been added in
                    617:   the source code.
                    618: 
1.144     brouard   619:   Revision 1.143  2014/01/26 09:45:38  brouard
                    620:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    621: 
                    622:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    623:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    624: 
1.143     brouard   625:   Revision 1.142  2014/01/26 03:57:36  brouard
                    626:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    627: 
                    628:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    629: 
1.142     brouard   630:   Revision 1.141  2014/01/26 02:42:01  brouard
                    631:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    632: 
1.141     brouard   633:   Revision 1.140  2011/09/02 10:37:54  brouard
                    634:   Summary: times.h is ok with mingw32 now.
                    635: 
1.140     brouard   636:   Revision 1.139  2010/06/14 07:50:17  brouard
                    637:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    638:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    639: 
1.139     brouard   640:   Revision 1.138  2010/04/30 18:19:40  brouard
                    641:   *** empty log message ***
                    642: 
1.138     brouard   643:   Revision 1.137  2010/04/29 18:11:38  brouard
                    644:   (Module): Checking covariates for more complex models
                    645:   than V1+V2. A lot of change to be done. Unstable.
                    646: 
1.137     brouard   647:   Revision 1.136  2010/04/26 20:30:53  brouard
                    648:   (Module): merging some libgsl code. Fixing computation
                    649:   of likelione (using inter/intrapolation if mle = 0) in order to
                    650:   get same likelihood as if mle=1.
                    651:   Some cleaning of code and comments added.
                    652: 
1.136     brouard   653:   Revision 1.135  2009/10/29 15:33:14  brouard
                    654:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    655: 
1.135     brouard   656:   Revision 1.134  2009/10/29 13:18:53  brouard
                    657:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    658: 
1.134     brouard   659:   Revision 1.133  2009/07/06 10:21:25  brouard
                    660:   just nforces
                    661: 
1.133     brouard   662:   Revision 1.132  2009/07/06 08:22:05  brouard
                    663:   Many tings
                    664: 
1.132     brouard   665:   Revision 1.131  2009/06/20 16:22:47  brouard
                    666:   Some dimensions resccaled
                    667: 
1.131     brouard   668:   Revision 1.130  2009/05/26 06:44:34  brouard
                    669:   (Module): Max Covariate is now set to 20 instead of 8. A
                    670:   lot of cleaning with variables initialized to 0. Trying to make
                    671:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    672: 
1.130     brouard   673:   Revision 1.129  2007/08/31 13:49:27  lievre
                    674:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    675: 
1.129     lievre    676:   Revision 1.128  2006/06/30 13:02:05  brouard
                    677:   (Module): Clarifications on computing e.j
                    678: 
1.128     brouard   679:   Revision 1.127  2006/04/28 18:11:50  brouard
                    680:   (Module): Yes the sum of survivors was wrong since
                    681:   imach-114 because nhstepm was no more computed in the age
                    682:   loop. Now we define nhstepma in the age loop.
                    683:   (Module): In order to speed up (in case of numerous covariates) we
                    684:   compute health expectancies (without variances) in a first step
                    685:   and then all the health expectancies with variances or standard
                    686:   deviation (needs data from the Hessian matrices) which slows the
                    687:   computation.
                    688:   In the future we should be able to stop the program is only health
                    689:   expectancies and graph are needed without standard deviations.
                    690: 
1.127     brouard   691:   Revision 1.126  2006/04/28 17:23:28  brouard
                    692:   (Module): Yes the sum of survivors was wrong since
                    693:   imach-114 because nhstepm was no more computed in the age
                    694:   loop. Now we define nhstepma in the age loop.
                    695:   Version 0.98h
                    696: 
1.126     brouard   697:   Revision 1.125  2006/04/04 15:20:31  lievre
                    698:   Errors in calculation of health expectancies. Age was not initialized.
                    699:   Forecasting file added.
                    700: 
                    701:   Revision 1.124  2006/03/22 17:13:53  lievre
                    702:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    703:   The log-likelihood is printed in the log file
                    704: 
                    705:   Revision 1.123  2006/03/20 10:52:43  brouard
                    706:   * imach.c (Module): <title> changed, corresponds to .htm file
                    707:   name. <head> headers where missing.
                    708: 
                    709:   * imach.c (Module): Weights can have a decimal point as for
                    710:   English (a comma might work with a correct LC_NUMERIC environment,
                    711:   otherwise the weight is truncated).
                    712:   Modification of warning when the covariates values are not 0 or
                    713:   1.
                    714:   Version 0.98g
                    715: 
                    716:   Revision 1.122  2006/03/20 09:45:41  brouard
                    717:   (Module): Weights can have a decimal point as for
                    718:   English (a comma might work with a correct LC_NUMERIC environment,
                    719:   otherwise the weight is truncated).
                    720:   Modification of warning when the covariates values are not 0 or
                    721:   1.
                    722:   Version 0.98g
                    723: 
                    724:   Revision 1.121  2006/03/16 17:45:01  lievre
                    725:   * imach.c (Module): Comments concerning covariates added
                    726: 
                    727:   * imach.c (Module): refinements in the computation of lli if
                    728:   status=-2 in order to have more reliable computation if stepm is
                    729:   not 1 month. Version 0.98f
                    730: 
                    731:   Revision 1.120  2006/03/16 15:10:38  lievre
                    732:   (Module): refinements in the computation of lli if
                    733:   status=-2 in order to have more reliable computation if stepm is
                    734:   not 1 month. Version 0.98f
                    735: 
                    736:   Revision 1.119  2006/03/15 17:42:26  brouard
                    737:   (Module): Bug if status = -2, the loglikelihood was
                    738:   computed as likelihood omitting the logarithm. Version O.98e
                    739: 
                    740:   Revision 1.118  2006/03/14 18:20:07  brouard
                    741:   (Module): varevsij Comments added explaining the second
                    742:   table of variances if popbased=1 .
                    743:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    744:   (Module): Function pstamp added
                    745:   (Module): Version 0.98d
                    746: 
                    747:   Revision 1.117  2006/03/14 17:16:22  brouard
                    748:   (Module): varevsij Comments added explaining the second
                    749:   table of variances if popbased=1 .
                    750:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    751:   (Module): Function pstamp added
                    752:   (Module): Version 0.98d
                    753: 
                    754:   Revision 1.116  2006/03/06 10:29:27  brouard
                    755:   (Module): Variance-covariance wrong links and
                    756:   varian-covariance of ej. is needed (Saito).
                    757: 
                    758:   Revision 1.115  2006/02/27 12:17:45  brouard
                    759:   (Module): One freematrix added in mlikeli! 0.98c
                    760: 
                    761:   Revision 1.114  2006/02/26 12:57:58  brouard
                    762:   (Module): Some improvements in processing parameter
                    763:   filename with strsep.
                    764: 
                    765:   Revision 1.113  2006/02/24 14:20:24  brouard
                    766:   (Module): Memory leaks checks with valgrind and:
                    767:   datafile was not closed, some imatrix were not freed and on matrix
                    768:   allocation too.
                    769: 
                    770:   Revision 1.112  2006/01/30 09:55:26  brouard
                    771:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    772: 
                    773:   Revision 1.111  2006/01/25 20:38:18  brouard
                    774:   (Module): Lots of cleaning and bugs added (Gompertz)
                    775:   (Module): Comments can be added in data file. Missing date values
                    776:   can be a simple dot '.'.
                    777: 
                    778:   Revision 1.110  2006/01/25 00:51:50  brouard
                    779:   (Module): Lots of cleaning and bugs added (Gompertz)
                    780: 
                    781:   Revision 1.109  2006/01/24 19:37:15  brouard
                    782:   (Module): Comments (lines starting with a #) are allowed in data.
                    783: 
                    784:   Revision 1.108  2006/01/19 18:05:42  lievre
                    785:   Gnuplot problem appeared...
                    786:   To be fixed
                    787: 
                    788:   Revision 1.107  2006/01/19 16:20:37  brouard
                    789:   Test existence of gnuplot in imach path
                    790: 
                    791:   Revision 1.106  2006/01/19 13:24:36  brouard
                    792:   Some cleaning and links added in html output
                    793: 
                    794:   Revision 1.105  2006/01/05 20:23:19  lievre
                    795:   *** empty log message ***
                    796: 
                    797:   Revision 1.104  2005/09/30 16:11:43  lievre
                    798:   (Module): sump fixed, loop imx fixed, and simplifications.
                    799:   (Module): If the status is missing at the last wave but we know
                    800:   that the person is alive, then we can code his/her status as -2
                    801:   (instead of missing=-1 in earlier versions) and his/her
                    802:   contributions to the likelihood is 1 - Prob of dying from last
                    803:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    804:   the healthy state at last known wave). Version is 0.98
                    805: 
                    806:   Revision 1.103  2005/09/30 15:54:49  lievre
                    807:   (Module): sump fixed, loop imx fixed, and simplifications.
                    808: 
                    809:   Revision 1.102  2004/09/15 17:31:30  brouard
                    810:   Add the possibility to read data file including tab characters.
                    811: 
                    812:   Revision 1.101  2004/09/15 10:38:38  brouard
                    813:   Fix on curr_time
                    814: 
                    815:   Revision 1.100  2004/07/12 18:29:06  brouard
                    816:   Add version for Mac OS X. Just define UNIX in Makefile
                    817: 
                    818:   Revision 1.99  2004/06/05 08:57:40  brouard
                    819:   *** empty log message ***
                    820: 
                    821:   Revision 1.98  2004/05/16 15:05:56  brouard
                    822:   New version 0.97 . First attempt to estimate force of mortality
                    823:   directly from the data i.e. without the need of knowing the health
                    824:   state at each age, but using a Gompertz model: log u =a + b*age .
                    825:   This is the basic analysis of mortality and should be done before any
                    826:   other analysis, in order to test if the mortality estimated from the
                    827:   cross-longitudinal survey is different from the mortality estimated
                    828:   from other sources like vital statistic data.
                    829: 
                    830:   The same imach parameter file can be used but the option for mle should be -3.
                    831: 
1.133     brouard   832:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   833:   former routines in order to include the new code within the former code.
                    834: 
                    835:   The output is very simple: only an estimate of the intercept and of
                    836:   the slope with 95% confident intervals.
                    837: 
                    838:   Current limitations:
                    839:   A) Even if you enter covariates, i.e. with the
                    840:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    841:   B) There is no computation of Life Expectancy nor Life Table.
                    842: 
                    843:   Revision 1.97  2004/02/20 13:25:42  lievre
                    844:   Version 0.96d. Population forecasting command line is (temporarily)
                    845:   suppressed.
                    846: 
                    847:   Revision 1.96  2003/07/15 15:38:55  brouard
                    848:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    849:   rewritten within the same printf. Workaround: many printfs.
                    850: 
                    851:   Revision 1.95  2003/07/08 07:54:34  brouard
                    852:   * imach.c (Repository):
                    853:   (Repository): Using imachwizard code to output a more meaningful covariance
                    854:   matrix (cov(a12,c31) instead of numbers.
                    855: 
                    856:   Revision 1.94  2003/06/27 13:00:02  brouard
                    857:   Just cleaning
                    858: 
                    859:   Revision 1.93  2003/06/25 16:33:55  brouard
                    860:   (Module): On windows (cygwin) function asctime_r doesn't
                    861:   exist so I changed back to asctime which exists.
                    862:   (Module): Version 0.96b
                    863: 
                    864:   Revision 1.92  2003/06/25 16:30:45  brouard
                    865:   (Module): On windows (cygwin) function asctime_r doesn't
                    866:   exist so I changed back to asctime which exists.
                    867: 
                    868:   Revision 1.91  2003/06/25 15:30:29  brouard
                    869:   * imach.c (Repository): Duplicated warning errors corrected.
                    870:   (Repository): Elapsed time after each iteration is now output. It
                    871:   helps to forecast when convergence will be reached. Elapsed time
                    872:   is stamped in powell.  We created a new html file for the graphs
                    873:   concerning matrix of covariance. It has extension -cov.htm.
                    874: 
                    875:   Revision 1.90  2003/06/24 12:34:15  brouard
                    876:   (Module): Some bugs corrected for windows. Also, when
                    877:   mle=-1 a template is output in file "or"mypar.txt with the design
                    878:   of the covariance matrix to be input.
                    879: 
                    880:   Revision 1.89  2003/06/24 12:30:52  brouard
                    881:   (Module): Some bugs corrected for windows. Also, when
                    882:   mle=-1 a template is output in file "or"mypar.txt with the design
                    883:   of the covariance matrix to be input.
                    884: 
                    885:   Revision 1.88  2003/06/23 17:54:56  brouard
                    886:   * 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.
                    887: 
                    888:   Revision 1.87  2003/06/18 12:26:01  brouard
                    889:   Version 0.96
                    890: 
                    891:   Revision 1.86  2003/06/17 20:04:08  brouard
                    892:   (Module): Change position of html and gnuplot routines and added
                    893:   routine fileappend.
                    894: 
                    895:   Revision 1.85  2003/06/17 13:12:43  brouard
                    896:   * imach.c (Repository): Check when date of death was earlier that
                    897:   current date of interview. It may happen when the death was just
                    898:   prior to the death. In this case, dh was negative and likelihood
                    899:   was wrong (infinity). We still send an "Error" but patch by
                    900:   assuming that the date of death was just one stepm after the
                    901:   interview.
                    902:   (Repository): Because some people have very long ID (first column)
                    903:   we changed int to long in num[] and we added a new lvector for
                    904:   memory allocation. But we also truncated to 8 characters (left
                    905:   truncation)
                    906:   (Repository): No more line truncation errors.
                    907: 
                    908:   Revision 1.84  2003/06/13 21:44:43  brouard
                    909:   * imach.c (Repository): Replace "freqsummary" at a correct
                    910:   place. It differs from routine "prevalence" which may be called
                    911:   many times. Probs is memory consuming and must be used with
                    912:   parcimony.
                    913:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    914: 
                    915:   Revision 1.83  2003/06/10 13:39:11  lievre
                    916:   *** empty log message ***
                    917: 
                    918:   Revision 1.82  2003/06/05 15:57:20  brouard
                    919:   Add log in  imach.c and  fullversion number is now printed.
                    920: 
                    921: */
                    922: /*
                    923:    Interpolated Markov Chain
                    924: 
                    925:   Short summary of the programme:
                    926:   
1.227     brouard   927:   This program computes Healthy Life Expectancies or State-specific
                    928:   (if states aren't health statuses) Expectancies from
                    929:   cross-longitudinal data. Cross-longitudinal data consist in: 
                    930: 
                    931:   -1- a first survey ("cross") where individuals from different ages
                    932:   are interviewed on their health status or degree of disability (in
                    933:   the case of a health survey which is our main interest)
                    934: 
                    935:   -2- at least a second wave of interviews ("longitudinal") which
                    936:   measure each change (if any) in individual health status.  Health
                    937:   expectancies are computed from the time spent in each health state
                    938:   according to a model. More health states you consider, more time is
                    939:   necessary to reach the Maximum Likelihood of the parameters involved
                    940:   in the model.  The simplest model is the multinomial logistic model
                    941:   where pij is the probability to be observed in state j at the second
                    942:   wave conditional to be observed in state i at the first
                    943:   wave. Therefore the model is: log(pij/pii)= aij + bij*age+ cij*sex +
                    944:   etc , where 'age' is age and 'sex' is a covariate. If you want to
                    945:   have a more complex model than "constant and age", you should modify
                    946:   the program where the markup *Covariates have to be included here
                    947:   again* invites you to do it.  More covariates you add, slower the
1.126     brouard   948:   convergence.
                    949: 
                    950:   The advantage of this computer programme, compared to a simple
                    951:   multinomial logistic model, is clear when the delay between waves is not
                    952:   identical for each individual. Also, if a individual missed an
                    953:   intermediate interview, the information is lost, but taken into
                    954:   account using an interpolation or extrapolation.  
                    955: 
                    956:   hPijx is the probability to be observed in state i at age x+h
                    957:   conditional to the observed state i at age x. The delay 'h' can be
                    958:   split into an exact number (nh*stepm) of unobserved intermediate
                    959:   states. This elementary transition (by month, quarter,
                    960:   semester or year) is modelled as a multinomial logistic.  The hPx
                    961:   matrix is simply the matrix product of nh*stepm elementary matrices
                    962:   and the contribution of each individual to the likelihood is simply
                    963:   hPijx.
                    964: 
                    965:   Also this programme outputs the covariance matrix of the parameters but also
1.218     brouard   966:   of the life expectancies. It also computes the period (stable) prevalence.
                    967: 
                    968: Back prevalence and projections:
1.227     brouard   969: 
                    970:  - back_prevalence_limit(double *p, double **bprlim, double ageminpar,
                    971:    double agemaxpar, double ftolpl, int *ncvyearp, double
                    972:    dateprev1,double dateprev2, int firstpass, int lastpass, int
                    973:    mobilavproj)
                    974: 
                    975:     Computes the back prevalence limit for any combination of
                    976:     covariate values k at any age between ageminpar and agemaxpar and
                    977:     returns it in **bprlim. In the loops,
                    978: 
                    979:    - **bprevalim(**bprlim, ***mobaverage, nlstate, *p, age, **oldm,
                    980:        **savm, **dnewm, **doldm, **dsavm, ftolpl, ncvyearp, k);
                    981: 
                    982:    - hBijx Back Probability to be in state i at age x-h being in j at x
1.218     brouard   983:    Computes for any combination of covariates k and any age between bage and fage 
                    984:    p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                    985:                        oldm=oldms;savm=savms;
1.227     brouard   986: 
1.267     brouard   987:    - hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k, nres);
1.218     brouard   988:      Computes the transition matrix starting at age 'age' over
                    989:      'nhstepm*hstepm*stepm' months (i.e. until
                    990:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
1.227     brouard   991:      nhstepm*hstepm matrices. 
                    992: 
                    993:      Returns p3mat[i][j][h] after calling
                    994:      p3mat[i][j][h]=matprod2(newm,
                    995:      bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm,
                    996:      dsavm,ij),\ 1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,
                    997:      oldm);
1.226     brouard   998: 
                    999: Important routines
                   1000: 
                   1001: - func (or funcone), computes logit (pij) distinguishing
                   1002:   o fixed variables (single or product dummies or quantitative);
                   1003:   o varying variables by:
                   1004:    (1) wave (single, product dummies, quantitative), 
                   1005:    (2) by age (can be month) age (done), age*age (done), age*Vn where Vn can be:
                   1006:        % fixed dummy (treated) or quantitative (not done because time-consuming);
                   1007:        % varying dummy (not done) or quantitative (not done);
                   1008: - Tricode which tests the modality of dummy variables (in order to warn with wrong or empty modalities)
                   1009:   and returns the number of efficient covariates cptcoveff and modalities nbcode[Tvar[k]][1]= 0 and nbcode[Tvar[k]][2]= 1 usually.
                   1010: - printinghtml which outputs results like life expectancy in and from a state for a combination of modalities of dummy variables
                   1011:   o There are 2*cptcoveff combinations of (0,1) for cptcoveff variables. Outputting only combinations with people, éliminating 1 1 if
                   1012:     race White (0 0), Black vs White (1 0), Hispanic (0 1) and 1 1 being meaningless.
1.218     brouard  1013: 
1.226     brouard  1014: 
                   1015:   
1.133     brouard  1016:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                   1017:            Institut national d'études démographiques, Paris.
1.126     brouard  1018:   This software have been partly granted by Euro-REVES, a concerted action
                   1019:   from the European Union.
                   1020:   It is copyrighted identically to a GNU software product, ie programme and
                   1021:   software can be distributed freely for non commercial use. Latest version
                   1022:   can be accessed at http://euroreves.ined.fr/imach .
                   1023: 
                   1024:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                   1025:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                   1026:   
                   1027:   **********************************************************************/
                   1028: /*
                   1029:   main
                   1030:   read parameterfile
                   1031:   read datafile
                   1032:   concatwav
                   1033:   freqsummary
                   1034:   if (mle >= 1)
                   1035:     mlikeli
                   1036:   print results files
                   1037:   if mle==1 
                   1038:      computes hessian
                   1039:   read end of parameter file: agemin, agemax, bage, fage, estepm
                   1040:       begin-prev-date,...
                   1041:   open gnuplot file
                   1042:   open html file
1.145     brouard  1043:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                   1044:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                   1045:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                   1046:     freexexit2 possible for memory heap.
                   1047: 
                   1048:   h Pij x                         | pij_nom  ficrestpij
                   1049:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                   1050:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                   1051:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                   1052: 
                   1053:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                   1054:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                   1055:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                   1056:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                   1057:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                   1058: 
1.126     brouard  1059:   forecasting if prevfcast==1 prevforecast call prevalence()
                   1060:   health expectancies
                   1061:   Variance-covariance of DFLE
                   1062:   prevalence()
                   1063:    movingaverage()
                   1064:   varevsij() 
                   1065:   if popbased==1 varevsij(,popbased)
                   1066:   total life expectancies
                   1067:   Variance of period (stable) prevalence
                   1068:  end
                   1069: */
                   1070: 
1.187     brouard  1071: /* #define DEBUG */
                   1072: /* #define DEBUGBRENT */
1.203     brouard  1073: /* #define DEBUGLINMIN */
                   1074: /* #define DEBUGHESS */
                   1075: #define DEBUGHESSIJ
1.224     brouard  1076: /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan) *\/ */
1.165     brouard  1077: #define POWELL /* Instead of NLOPT */
1.224     brouard  1078: #define POWELLNOF3INFF1TEST /* Skip test */
1.186     brouard  1079: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                   1080: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.126     brouard  1081: 
                   1082: #include <math.h>
                   1083: #include <stdio.h>
                   1084: #include <stdlib.h>
                   1085: #include <string.h>
1.226     brouard  1086: #include <ctype.h>
1.159     brouard  1087: 
                   1088: #ifdef _WIN32
                   1089: #include <io.h>
1.172     brouard  1090: #include <windows.h>
                   1091: #include <tchar.h>
1.159     brouard  1092: #else
1.126     brouard  1093: #include <unistd.h>
1.159     brouard  1094: #endif
1.126     brouard  1095: 
                   1096: #include <limits.h>
                   1097: #include <sys/types.h>
1.171     brouard  1098: 
                   1099: #if defined(__GNUC__)
                   1100: #include <sys/utsname.h> /* Doesn't work on Windows */
                   1101: #endif
                   1102: 
1.126     brouard  1103: #include <sys/stat.h>
                   1104: #include <errno.h>
1.159     brouard  1105: /* extern int errno; */
1.126     brouard  1106: 
1.157     brouard  1107: /* #ifdef LINUX */
                   1108: /* #include <time.h> */
                   1109: /* #include "timeval.h" */
                   1110: /* #else */
                   1111: /* #include <sys/time.h> */
                   1112: /* #endif */
                   1113: 
1.126     brouard  1114: #include <time.h>
                   1115: 
1.136     brouard  1116: #ifdef GSL
                   1117: #include <gsl/gsl_errno.h>
                   1118: #include <gsl/gsl_multimin.h>
                   1119: #endif
                   1120: 
1.167     brouard  1121: 
1.162     brouard  1122: #ifdef NLOPT
                   1123: #include <nlopt.h>
                   1124: typedef struct {
                   1125:   double (* function)(double [] );
                   1126: } myfunc_data ;
                   1127: #endif
                   1128: 
1.126     brouard  1129: /* #include <libintl.h> */
                   1130: /* #define _(String) gettext (String) */
                   1131: 
1.251     brouard  1132: #define MAXLINE 2048 /* Was 256 and 1024. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard  1133: 
                   1134: #define GNUPLOTPROGRAM "gnuplot"
                   1135: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                   1136: #define FILENAMELENGTH 132
                   1137: 
                   1138: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                   1139: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                   1140: 
1.144     brouard  1141: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                   1142: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard  1143: 
                   1144: #define NINTERVMAX 8
1.144     brouard  1145: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                   1146: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
1.291     brouard  1147: #define NCOVMAX 20  /**< Maximum number of covariates, including generated covariates V1*V2 */
1.197     brouard  1148: #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.211     brouard  1149: /*#define decodtabm(h,k,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (k-1)) & 1) +1 : -1)*/
                   1150: #define decodtabm(h,k,cptcoveff) (((h-1) >> (k-1)) & 1) +1 
1.290     brouard  1151: /*#define MAXN 20000 */ /* Should by replaced by nobs, real number of observations and unlimited */
1.144     brouard  1152: #define YEARM 12. /**< Number of months per year */
1.218     brouard  1153: /* #define AGESUP 130 */
1.288     brouard  1154: /* #define AGESUP 150 */
                   1155: #define AGESUP 200
1.268     brouard  1156: #define AGEINF 0
1.218     brouard  1157: #define AGEMARGE 25 /* Marge for agemin and agemax for(iage=agemin-AGEMARGE; iage <= agemax+3+AGEMARGE; iage++) */
1.126     brouard  1158: #define AGEBASE 40
1.194     brouard  1159: #define AGEOVERFLOW 1.e20
1.164     brouard  1160: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard  1161: #ifdef _WIN32
                   1162: #define DIRSEPARATOR '\\'
                   1163: #define CHARSEPARATOR "\\"
                   1164: #define ODIRSEPARATOR '/'
                   1165: #else
1.126     brouard  1166: #define DIRSEPARATOR '/'
                   1167: #define CHARSEPARATOR "/"
                   1168: #define ODIRSEPARATOR '\\'
                   1169: #endif
                   1170: 
1.312   ! brouard  1171: /* $Id: imach.c,v 1.311 2022/04/05 21:03:51 brouard Exp $ */
1.126     brouard  1172: /* $State: Exp $ */
1.196     brouard  1173: #include "version.h"
                   1174: char version[]=__IMACH_VERSION__;
1.308     brouard  1175: char copyright[]="March 2021,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, INED 2000-2021";
1.312   ! brouard  1176: char fullversion[]="$Revision: 1.311 $ $Date: 2022/04/05 21:03:51 $"; 
1.126     brouard  1177: char strstart[80];
                   1178: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard  1179: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard  1180: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard  1181: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                   1182: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                   1183: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
1.225     brouard  1184: int cptcovs=0; /**< cptcovs number of simple covariates in the model V2+V1 =2 */
                   1185: int cptcovsnq=0; /**< cptcovsnq number of simple covariates in the model but non quantitative V2+V1 =2 */
1.145     brouard  1186: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                   1187: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                   1188: int cptcoveff=0; /* Total number of covariates to vary for printing results */
1.233     brouard  1189: int ncovf=0; /* Total number of effective fixed covariates (dummy or quantitative) in the model */
                   1190: int ncovv=0; /* Total number of effective (wave) varying covariates (dummy or quantitative) in the model */
1.232     brouard  1191: int ncova=0; /* Total number of effective (wave and stepm) varying with age covariates (dummy of quantitative) in the model */
1.234     brouard  1192: int nsd=0; /**< Total number of single dummy variables (output) */
                   1193: int nsq=0; /**< Total number of single quantitative variables (output) */
1.232     brouard  1194: int ncoveff=0; /* Total number of effective fixed dummy covariates in the model */
1.225     brouard  1195: int nqfveff=0; /**< nqfveff Number of Quantitative Fixed Variables Effective */
1.224     brouard  1196: int ntveff=0; /**< ntveff number of effective time varying variables */
                   1197: int nqtveff=0; /**< ntqveff number of effective time varying quantitative variables */
1.145     brouard  1198: int cptcov=0; /* Working variable */
1.290     brouard  1199: int nobs=10;  /* Number of observations in the data lastobs-firstobs */
1.218     brouard  1200: int ncovcombmax=NCOVMAX; /* Maximum calculated number of covariate combination = pow(2, cptcoveff) */
1.302     brouard  1201: int npar=NPARMAX; /* Number of parameters (nlstate+ndeath-1)*nlstate*ncovmodel; */
1.126     brouard  1202: int nlstate=2; /* Number of live states */
                   1203: int ndeath=1; /* Number of dead states */
1.130     brouard  1204: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.223     brouard  1205: int  nqv=0, ntv=0, nqtv=0;    /* Total number of quantitative variables, time variable (dummy), quantitative and time variable */ 
1.126     brouard  1206: int popbased=0;
                   1207: 
                   1208: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard  1209: int maxwav=0; /* Maxim number of waves */
                   1210: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                   1211: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                   1212: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard  1213:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard  1214: int mle=1, weightopt=0;
1.126     brouard  1215: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                   1216: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                   1217: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                   1218:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard  1219: int countcallfunc=0;  /* Count the number of calls to func */
1.230     brouard  1220: int selected(int kvar); /* Is covariate kvar selected for printing results */
                   1221: 
1.130     brouard  1222: double jmean=1; /* Mean space between 2 waves */
1.145     brouard  1223: double **matprod2(); /* test */
1.126     brouard  1224: double **oldm, **newm, **savm; /* Working pointers to matrices */
                   1225: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.218     brouard  1226: double  **ddnewms, **ddoldms, **ddsavms; /* for freeing later */
                   1227: 
1.136     brouard  1228: /*FILE *fic ; */ /* Used in readdata only */
1.217     brouard  1229: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficresphtm, *ficresphtmfr, *ficrespl, *ficresplb,*ficrespij, *ficrespijb, *ficrest,*ficresf, *ficresfb,*ficrespop;
1.126     brouard  1230: FILE *ficlog, *ficrespow;
1.130     brouard  1231: int globpr=0; /* Global variable for printing or not */
1.126     brouard  1232: double fretone; /* Only one call to likelihood */
1.130     brouard  1233: long ipmx=0; /* Number of contributions */
1.126     brouard  1234: double sw; /* Sum of weights */
                   1235: char filerespow[FILENAMELENGTH];
                   1236: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                   1237: FILE *ficresilk;
                   1238: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                   1239: FILE *ficresprobmorprev;
                   1240: FILE *fichtm, *fichtmcov; /* Html File */
                   1241: FILE *ficreseij;
                   1242: char filerese[FILENAMELENGTH];
                   1243: FILE *ficresstdeij;
                   1244: char fileresstde[FILENAMELENGTH];
                   1245: FILE *ficrescveij;
                   1246: char filerescve[FILENAMELENGTH];
                   1247: FILE  *ficresvij;
                   1248: char fileresv[FILENAMELENGTH];
1.269     brouard  1249: 
1.126     brouard  1250: char title[MAXLINE];
1.234     brouard  1251: char model[MAXLINE]; /**< The model line */
1.217     brouard  1252: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH],  fileresplb[FILENAMELENGTH];
1.126     brouard  1253: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                   1254: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                   1255: char command[FILENAMELENGTH];
                   1256: int  outcmd=0;
                   1257: 
1.217     brouard  1258: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filerespijb[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
1.202     brouard  1259: char fileresu[FILENAMELENGTH]; /* fileres without r in front */
1.126     brouard  1260: char filelog[FILENAMELENGTH]; /* Log file */
                   1261: char filerest[FILENAMELENGTH];
                   1262: char fileregp[FILENAMELENGTH];
                   1263: char popfile[FILENAMELENGTH];
                   1264: 
                   1265: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                   1266: 
1.157     brouard  1267: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                   1268: /* struct timezone tzp; */
                   1269: /* extern int gettimeofday(); */
                   1270: struct tm tml, *gmtime(), *localtime();
                   1271: 
                   1272: extern time_t time();
                   1273: 
                   1274: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                   1275: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                   1276: struct tm tm;
                   1277: 
1.126     brouard  1278: char strcurr[80], strfor[80];
                   1279: 
                   1280: char *endptr;
                   1281: long lval;
                   1282: double dval;
                   1283: 
                   1284: #define NR_END 1
                   1285: #define FREE_ARG char*
                   1286: #define FTOL 1.0e-10
                   1287: 
                   1288: #define NRANSI 
1.240     brouard  1289: #define ITMAX 200
                   1290: #define ITPOWMAX 20 /* This is now multiplied by the number of parameters */ 
1.126     brouard  1291: 
                   1292: #define TOL 2.0e-4 
                   1293: 
                   1294: #define CGOLD 0.3819660 
                   1295: #define ZEPS 1.0e-10 
                   1296: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                   1297: 
                   1298: #define GOLD 1.618034 
                   1299: #define GLIMIT 100.0 
                   1300: #define TINY 1.0e-20 
                   1301: 
                   1302: static double maxarg1,maxarg2;
                   1303: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                   1304: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                   1305:   
                   1306: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                   1307: #define rint(a) floor(a+0.5)
1.166     brouard  1308: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard  1309: #define mytinydouble 1.0e-16
1.166     brouard  1310: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                   1311: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                   1312: /* static double dsqrarg; */
                   1313: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard  1314: static double sqrarg;
                   1315: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                   1316: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                   1317: int agegomp= AGEGOMP;
                   1318: 
                   1319: int imx; 
                   1320: int stepm=1;
                   1321: /* Stepm, step in month: minimum step interpolation*/
                   1322: 
                   1323: int estepm;
                   1324: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                   1325: 
                   1326: int m,nb;
                   1327: long *num;
1.197     brouard  1328: int firstpass=0, lastpass=4,*cod, *cens;
1.192     brouard  1329: int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                   1330:                   covariate for which somebody answered excluding 
                   1331:                   undefined. Usually 2: 0 and 1. */
                   1332: int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                   1333:                             covariate for which somebody answered including 
                   1334:                             undefined. Usually 3: -1, 0 and 1. */
1.126     brouard  1335: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
1.218     brouard  1336: double **pmmij, ***probs; /* Global pointer */
1.219     brouard  1337: double ***mobaverage, ***mobaverages; /* New global variable */
1.126     brouard  1338: double *ageexmed,*agecens;
                   1339: double dateintmean=0;
1.296     brouard  1340:   double anprojd, mprojd, jprojd; /* For eventual projections */
                   1341:   double anprojf, mprojf, jprojf;
1.126     brouard  1342: 
1.296     brouard  1343:   double anbackd, mbackd, jbackd; /* For eventual backprojections */
                   1344:   double anbackf, mbackf, jbackf;
                   1345:   double jintmean,mintmean,aintmean;  
1.126     brouard  1346: double *weight;
                   1347: int **s; /* Status */
1.141     brouard  1348: double *agedc;
1.145     brouard  1349: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard  1350:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard  1351:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.268     brouard  1352: double **coqvar; /* Fixed quantitative covariate nqv */
                   1353: double ***cotvar; /* Time varying covariate ntv */
1.225     brouard  1354: double ***cotqvar; /* Time varying quantitative covariate itqv */
1.141     brouard  1355: double  idx; 
                   1356: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.234     brouard  1357: /*           V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1358: /*k          1  2   3   4     5    6    7     8    9 */
                   1359: /*Tvar[k]=   5  4   3   6     5    2    7     1    1 */
                   1360: /* Tndvar[k]    1   2   3               4          5 */
                   1361: /*TDvar         4   3   6               7          1 */ /* For outputs only; combination of dummies fixed or varying */
                   1362: /* Tns[k]    1  2   2              4               5 */ /* Number of single cova */
                   1363: /* TvarsD[k]    1   2                              3 */ /* Number of single dummy cova */
                   1364: /* TvarsDind    2   3                              9 */ /* position K of single dummy cova */
                   1365: /* TvarsQ[k] 1                     2                 */ /* Number of single quantitative cova */
                   1366: /* TvarsQind 1                     6                 */ /* position K of single quantitative cova */
                   1367: /* Tprod[i]=k           4               7            */
                   1368: /* Tage[i]=k                  5               8      */
                   1369: /* */
                   1370: /* Type                    */
                   1371: /* V         1  2  3  4  5 */
                   1372: /*           F  F  V  V  V */
                   1373: /*           D  Q  D  D  Q */
                   1374: /*                         */
                   1375: int *TvarsD;
                   1376: int *TvarsDind;
                   1377: int *TvarsQ;
                   1378: int *TvarsQind;
                   1379: 
1.235     brouard  1380: #define MAXRESULTLINES 10
                   1381: int nresult=0;
1.258     brouard  1382: int parameterline=0; /* # of the parameter (type) line */
1.235     brouard  1383: int TKresult[MAXRESULTLINES];
1.237     brouard  1384: int Tresult[MAXRESULTLINES][NCOVMAX];/* For dummy variable , value (output) */
                   1385: int Tinvresult[MAXRESULTLINES][NCOVMAX];/* For dummy variable , value (output) */
1.235     brouard  1386: int Tvresult[MAXRESULTLINES][NCOVMAX]; /* For dummy variable , variable # (output) */
                   1387: double Tqresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , value (output) */
1.237     brouard  1388: double Tqinvresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , value (output) */
1.235     brouard  1389: int Tvqresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , variable # (output) */
                   1390: 
1.234     brouard  1391: /* 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  1392: 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 */
                   1393: 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 */
                   1394: 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 */
                   1395: int *TvarVind; /**< TvarVind[1]=1, TvarVind[2]=2  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1396: 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 */
                   1397: 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  1398: int *TvarFD; /**< TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1399: int *TvarFDind; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1400: int *TvarFQ; /* TvarFQ[1]=V2 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1401: int *TvarFQind; /* TvarFQind[1]=6 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1402: int *TvarVD; /* TvarVD[1]=V5 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1403: int *TvarVDind; /* TvarVDind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1404: 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 */
                   1405: 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 */
                   1406: 
1.230     brouard  1407: int *Tvarsel; /**< Selected covariates for output */
                   1408: double *Tvalsel; /**< Selected modality value of covariate for output */
1.226     brouard  1409: int *Typevar; /**< 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product */
1.227     brouard  1410: int *Fixed; /** Fixed[k] 0=fixed, 1 varying, 2 fixed with age product, 3 varying with age product */ 
                   1411: 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  1412: int *DummyV; /** Dummy[v] 0=dummy (0 1), 1 quantitative */
                   1413: int *FixedV; /** FixedV[v] 0 fixed, 1 varying */
1.197     brouard  1414: int *Tage;
1.227     brouard  1415: int anyvaryingduminmodel=0; /**< Any varying dummy in Model=1 yes, 0 no, to avoid a loop on waves in freq */ 
1.228     brouard  1416: 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  1417: 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*/ 
                   1418: 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  1419: int *Ndum; /** Freq of modality (tricode */
1.200     brouard  1420: /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
1.227     brouard  1421: int **Tvard;
                   1422: int *Tprod;/**< Gives the k position of the k1 product */
1.238     brouard  1423: /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3  */
1.227     brouard  1424: int *Tposprod; /**< Gives the k1 product from the k position */
1.238     brouard  1425:    /* if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2) */
                   1426:    /* Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5(V3*V2)]=2 (2nd product without age) */
1.227     brouard  1427: int cptcovprod, *Tvaraff, *invalidvarcomb;
1.126     brouard  1428: double *lsurv, *lpop, *tpop;
                   1429: 
1.231     brouard  1430: #define FD 1; /* Fixed dummy covariate */
                   1431: #define FQ 2; /* Fixed quantitative covariate */
                   1432: #define FP 3; /* Fixed product covariate */
                   1433: #define FPDD 7; /* Fixed product dummy*dummy covariate */
                   1434: #define FPDQ 8; /* Fixed product dummy*quantitative covariate */
                   1435: #define FPQQ 9; /* Fixed product quantitative*quantitative covariate */
                   1436: #define VD 10; /* Varying dummy covariate */
                   1437: #define VQ 11; /* Varying quantitative covariate */
                   1438: #define VP 12; /* Varying product covariate */
                   1439: #define VPDD 13; /* Varying product dummy*dummy covariate */
                   1440: #define VPDQ 14; /* Varying product dummy*quantitative covariate */
                   1441: #define VPQQ 15; /* Varying product quantitative*quantitative covariate */
                   1442: #define APFD 16; /* Age product * fixed dummy covariate */
                   1443: #define APFQ 17; /* Age product * fixed quantitative covariate */
                   1444: #define APVD 18; /* Age product * varying dummy covariate */
                   1445: #define APVQ 19; /* Age product * varying quantitative covariate */
                   1446: 
                   1447: #define FTYPE 1; /* Fixed covariate */
                   1448: #define VTYPE 2; /* Varying covariate (loop in wave) */
                   1449: #define ATYPE 2; /* Age product covariate (loop in dh within wave)*/
                   1450: 
                   1451: struct kmodel{
                   1452:        int maintype; /* main type */
                   1453:        int subtype; /* subtype */
                   1454: };
                   1455: struct kmodel modell[NCOVMAX];
                   1456: 
1.143     brouard  1457: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                   1458: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard  1459: 
                   1460: /**************** split *************************/
                   1461: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                   1462: {
                   1463:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                   1464:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                   1465:   */ 
                   1466:   char *ss;                            /* pointer */
1.186     brouard  1467:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard  1468: 
                   1469:   l1 = strlen(path );                  /* length of path */
                   1470:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1471:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                   1472:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                   1473:     strcpy( name, path );              /* we got the fullname name because no directory */
                   1474:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                   1475:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                   1476:     /* get current working directory */
                   1477:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard  1478: #ifdef WIN32
                   1479:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                   1480: #else
                   1481:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                   1482: #endif
1.126     brouard  1483:       return( GLOCK_ERROR_GETCWD );
                   1484:     }
                   1485:     /* got dirc from getcwd*/
                   1486:     printf(" DIRC = %s \n",dirc);
1.205     brouard  1487:   } else {                             /* strip directory from path */
1.126     brouard  1488:     ss++;                              /* after this, the filename */
                   1489:     l2 = strlen( ss );                 /* length of filename */
                   1490:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1491:     strcpy( name, ss );                /* save file name */
                   1492:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard  1493:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard  1494:     printf(" DIRC2 = %s \n",dirc);
                   1495:   }
                   1496:   /* We add a separator at the end of dirc if not exists */
                   1497:   l1 = strlen( dirc );                 /* length of directory */
                   1498:   if( dirc[l1-1] != DIRSEPARATOR ){
                   1499:     dirc[l1] =  DIRSEPARATOR;
                   1500:     dirc[l1+1] = 0; 
                   1501:     printf(" DIRC3 = %s \n",dirc);
                   1502:   }
                   1503:   ss = strrchr( name, '.' );           /* find last / */
                   1504:   if (ss >0){
                   1505:     ss++;
                   1506:     strcpy(ext,ss);                    /* save extension */
                   1507:     l1= strlen( name);
                   1508:     l2= strlen(ss)+1;
                   1509:     strncpy( finame, name, l1-l2);
                   1510:     finame[l1-l2]= 0;
                   1511:   }
                   1512: 
                   1513:   return( 0 );                         /* we're done */
                   1514: }
                   1515: 
                   1516: 
                   1517: /******************************************/
                   1518: 
                   1519: void replace_back_to_slash(char *s, char*t)
                   1520: {
                   1521:   int i;
                   1522:   int lg=0;
                   1523:   i=0;
                   1524:   lg=strlen(t);
                   1525:   for(i=0; i<= lg; i++) {
                   1526:     (s[i] = t[i]);
                   1527:     if (t[i]== '\\') s[i]='/';
                   1528:   }
                   1529: }
                   1530: 
1.132     brouard  1531: char *trimbb(char *out, char *in)
1.137     brouard  1532: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard  1533:   char *s;
                   1534:   s=out;
                   1535:   while (*in != '\0'){
1.137     brouard  1536:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard  1537:       in++;
                   1538:     }
                   1539:     *out++ = *in++;
                   1540:   }
                   1541:   *out='\0';
                   1542:   return s;
                   1543: }
                   1544: 
1.187     brouard  1545: /* char *substrchaine(char *out, char *in, char *chain) */
                   1546: /* { */
                   1547: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                   1548: /*   char *s, *t; */
                   1549: /*   t=in;s=out; */
                   1550: /*   while ((*in != *chain) && (*in != '\0')){ */
                   1551: /*     *out++ = *in++; */
                   1552: /*   } */
                   1553: 
                   1554: /*   /\* *in matches *chain *\/ */
                   1555: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                   1556: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1557: /*   } */
                   1558: /*   in--; chain--; */
                   1559: /*   while ( (*in != '\0')){ */
                   1560: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1561: /*     *out++ = *in++; */
                   1562: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1563: /*   } */
                   1564: /*   *out='\0'; */
                   1565: /*   out=s; */
                   1566: /*   return out; */
                   1567: /* } */
                   1568: char *substrchaine(char *out, char *in, char *chain)
                   1569: {
                   1570:   /* Substract chain 'chain' from 'in', return and output 'out' */
                   1571:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                   1572: 
                   1573:   char *strloc;
                   1574: 
                   1575:   strcpy (out, in); 
                   1576:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                   1577:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                   1578:   if(strloc != NULL){ 
                   1579:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                   1580:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                   1581:     /* strcpy (strloc, strloc +strlen(chain));*/
                   1582:   }
                   1583:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                   1584:   return out;
                   1585: }
                   1586: 
                   1587: 
1.145     brouard  1588: char *cutl(char *blocc, char *alocc, char *in, char occ)
                   1589: {
1.187     brouard  1590:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard  1591:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.310     brouard  1592:      gives alocc="abcdef" and blocc="ghi2j".
1.145     brouard  1593:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                   1594:   */
1.160     brouard  1595:   char *s, *t;
1.145     brouard  1596:   t=in;s=in;
                   1597:   while ((*in != occ) && (*in != '\0')){
                   1598:     *alocc++ = *in++;
                   1599:   }
                   1600:   if( *in == occ){
                   1601:     *(alocc)='\0';
                   1602:     s=++in;
                   1603:   }
                   1604:  
                   1605:   if (s == t) {/* occ not found */
                   1606:     *(alocc-(in-s))='\0';
                   1607:     in=s;
                   1608:   }
                   1609:   while ( *in != '\0'){
                   1610:     *blocc++ = *in++;
                   1611:   }
                   1612: 
                   1613:   *blocc='\0';
                   1614:   return t;
                   1615: }
1.137     brouard  1616: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1617: {
1.187     brouard  1618:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1619:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1620:      gives blocc="abcdef2ghi" and alocc="j".
                   1621:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1622:   */
                   1623:   char *s, *t;
                   1624:   t=in;s=in;
                   1625:   while (*in != '\0'){
                   1626:     while( *in == occ){
                   1627:       *blocc++ = *in++;
                   1628:       s=in;
                   1629:     }
                   1630:     *blocc++ = *in++;
                   1631:   }
                   1632:   if (s == t) /* occ not found */
                   1633:     *(blocc-(in-s))='\0';
                   1634:   else
                   1635:     *(blocc-(in-s)-1)='\0';
                   1636:   in=s;
                   1637:   while ( *in != '\0'){
                   1638:     *alocc++ = *in++;
                   1639:   }
                   1640: 
                   1641:   *alocc='\0';
                   1642:   return s;
                   1643: }
                   1644: 
1.126     brouard  1645: int nbocc(char *s, char occ)
                   1646: {
                   1647:   int i,j=0;
                   1648:   int lg=20;
                   1649:   i=0;
                   1650:   lg=strlen(s);
                   1651:   for(i=0; i<= lg; i++) {
1.234     brouard  1652:     if  (s[i] == occ ) j++;
1.126     brouard  1653:   }
                   1654:   return j;
                   1655: }
                   1656: 
1.137     brouard  1657: /* void cutv(char *u,char *v, char*t, char occ) */
                   1658: /* { */
                   1659: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1660: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1661: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1662: /*   int i,lg,j,p=0; */
                   1663: /*   i=0; */
                   1664: /*   lg=strlen(t); */
                   1665: /*   for(j=0; j<=lg-1; j++) { */
                   1666: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1667: /*   } */
1.126     brouard  1668: 
1.137     brouard  1669: /*   for(j=0; j<p; j++) { */
                   1670: /*     (u[j] = t[j]); */
                   1671: /*   } */
                   1672: /*      u[p]='\0'; */
1.126     brouard  1673: 
1.137     brouard  1674: /*    for(j=0; j<= lg; j++) { */
                   1675: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1676: /*   } */
                   1677: /* } */
1.126     brouard  1678: 
1.160     brouard  1679: #ifdef _WIN32
                   1680: char * strsep(char **pp, const char *delim)
                   1681: {
                   1682:   char *p, *q;
                   1683:          
                   1684:   if ((p = *pp) == NULL)
                   1685:     return 0;
                   1686:   if ((q = strpbrk (p, delim)) != NULL)
                   1687:   {
                   1688:     *pp = q + 1;
                   1689:     *q = '\0';
                   1690:   }
                   1691:   else
                   1692:     *pp = 0;
                   1693:   return p;
                   1694: }
                   1695: #endif
                   1696: 
1.126     brouard  1697: /********************** nrerror ********************/
                   1698: 
                   1699: void nrerror(char error_text[])
                   1700: {
                   1701:   fprintf(stderr,"ERREUR ...\n");
                   1702:   fprintf(stderr,"%s\n",error_text);
                   1703:   exit(EXIT_FAILURE);
                   1704: }
                   1705: /*********************** vector *******************/
                   1706: double *vector(int nl, int nh)
                   1707: {
                   1708:   double *v;
                   1709:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1710:   if (!v) nrerror("allocation failure in vector");
                   1711:   return v-nl+NR_END;
                   1712: }
                   1713: 
                   1714: /************************ free vector ******************/
                   1715: void free_vector(double*v, int nl, int nh)
                   1716: {
                   1717:   free((FREE_ARG)(v+nl-NR_END));
                   1718: }
                   1719: 
                   1720: /************************ivector *******************************/
                   1721: int *ivector(long nl,long nh)
                   1722: {
                   1723:   int *v;
                   1724:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1725:   if (!v) nrerror("allocation failure in ivector");
                   1726:   return v-nl+NR_END;
                   1727: }
                   1728: 
                   1729: /******************free ivector **************************/
                   1730: void free_ivector(int *v, long nl, long nh)
                   1731: {
                   1732:   free((FREE_ARG)(v+nl-NR_END));
                   1733: }
                   1734: 
                   1735: /************************lvector *******************************/
                   1736: long *lvector(long nl,long nh)
                   1737: {
                   1738:   long *v;
                   1739:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1740:   if (!v) nrerror("allocation failure in ivector");
                   1741:   return v-nl+NR_END;
                   1742: }
                   1743: 
                   1744: /******************free lvector **************************/
                   1745: void free_lvector(long *v, long nl, long nh)
                   1746: {
                   1747:   free((FREE_ARG)(v+nl-NR_END));
                   1748: }
                   1749: 
                   1750: /******************* imatrix *******************************/
                   1751: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1752:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1753: { 
                   1754:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1755:   int **m; 
                   1756:   
                   1757:   /* allocate pointers to rows */ 
                   1758:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1759:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1760:   m += NR_END; 
                   1761:   m -= nrl; 
                   1762:   
                   1763:   
                   1764:   /* allocate rows and set pointers to them */ 
                   1765:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1766:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1767:   m[nrl] += NR_END; 
                   1768:   m[nrl] -= ncl; 
                   1769:   
                   1770:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1771:   
                   1772:   /* return pointer to array of pointers to rows */ 
                   1773:   return m; 
                   1774: } 
                   1775: 
                   1776: /****************** free_imatrix *************************/
                   1777: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1778:       int **m;
                   1779:       long nch,ncl,nrh,nrl; 
                   1780:      /* free an int matrix allocated by imatrix() */ 
                   1781: { 
                   1782:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1783:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1784: } 
                   1785: 
                   1786: /******************* matrix *******************************/
                   1787: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1788: {
                   1789:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1790:   double **m;
                   1791: 
                   1792:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1793:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1794:   m += NR_END;
                   1795:   m -= nrl;
                   1796: 
                   1797:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1798:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1799:   m[nrl] += NR_END;
                   1800:   m[nrl] -= ncl;
                   1801: 
                   1802:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1803:   return m;
1.145     brouard  1804:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1805: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1806: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1807:    */
                   1808: }
                   1809: 
                   1810: /*************************free matrix ************************/
                   1811: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1812: {
                   1813:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1814:   free((FREE_ARG)(m+nrl-NR_END));
                   1815: }
                   1816: 
                   1817: /******************* ma3x *******************************/
                   1818: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1819: {
                   1820:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1821:   double ***m;
                   1822: 
                   1823:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1824:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1825:   m += NR_END;
                   1826:   m -= nrl;
                   1827: 
                   1828:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1829:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1830:   m[nrl] += NR_END;
                   1831:   m[nrl] -= ncl;
                   1832: 
                   1833:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1834: 
                   1835:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1836:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1837:   m[nrl][ncl] += NR_END;
                   1838:   m[nrl][ncl] -= nll;
                   1839:   for (j=ncl+1; j<=nch; j++) 
                   1840:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1841:   
                   1842:   for (i=nrl+1; i<=nrh; i++) {
                   1843:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1844:     for (j=ncl+1; j<=nch; j++) 
                   1845:       m[i][j]=m[i][j-1]+nlay;
                   1846:   }
                   1847:   return m; 
                   1848:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1849:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1850:   */
                   1851: }
                   1852: 
                   1853: /*************************free ma3x ************************/
                   1854: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1855: {
                   1856:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1857:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1858:   free((FREE_ARG)(m+nrl-NR_END));
                   1859: }
                   1860: 
                   1861: /*************** function subdirf ***********/
                   1862: char *subdirf(char fileres[])
                   1863: {
                   1864:   /* Caution optionfilefiname is hidden */
                   1865:   strcpy(tmpout,optionfilefiname);
                   1866:   strcat(tmpout,"/"); /* Add to the right */
                   1867:   strcat(tmpout,fileres);
                   1868:   return tmpout;
                   1869: }
                   1870: 
                   1871: /*************** function subdirf2 ***********/
                   1872: char *subdirf2(char fileres[], char *preop)
                   1873: {
                   1874:   
                   1875:   /* Caution optionfilefiname is hidden */
                   1876:   strcpy(tmpout,optionfilefiname);
                   1877:   strcat(tmpout,"/");
                   1878:   strcat(tmpout,preop);
                   1879:   strcat(tmpout,fileres);
                   1880:   return tmpout;
                   1881: }
                   1882: 
                   1883: /*************** function subdirf3 ***********/
                   1884: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1885: {
                   1886:   
                   1887:   /* Caution optionfilefiname is hidden */
                   1888:   strcpy(tmpout,optionfilefiname);
                   1889:   strcat(tmpout,"/");
                   1890:   strcat(tmpout,preop);
                   1891:   strcat(tmpout,preop2);
                   1892:   strcat(tmpout,fileres);
                   1893:   return tmpout;
                   1894: }
1.213     brouard  1895:  
                   1896: /*************** function subdirfext ***********/
                   1897: char *subdirfext(char fileres[], char *preop, char *postop)
                   1898: {
                   1899:   
                   1900:   strcpy(tmpout,preop);
                   1901:   strcat(tmpout,fileres);
                   1902:   strcat(tmpout,postop);
                   1903:   return tmpout;
                   1904: }
1.126     brouard  1905: 
1.213     brouard  1906: /*************** function subdirfext3 ***********/
                   1907: char *subdirfext3(char fileres[], char *preop, char *postop)
                   1908: {
                   1909:   
                   1910:   /* Caution optionfilefiname is hidden */
                   1911:   strcpy(tmpout,optionfilefiname);
                   1912:   strcat(tmpout,"/");
                   1913:   strcat(tmpout,preop);
                   1914:   strcat(tmpout,fileres);
                   1915:   strcat(tmpout,postop);
                   1916:   return tmpout;
                   1917: }
                   1918:  
1.162     brouard  1919: char *asc_diff_time(long time_sec, char ascdiff[])
                   1920: {
                   1921:   long sec_left, days, hours, minutes;
                   1922:   days = (time_sec) / (60*60*24);
                   1923:   sec_left = (time_sec) % (60*60*24);
                   1924:   hours = (sec_left) / (60*60) ;
                   1925:   sec_left = (sec_left) %(60*60);
                   1926:   minutes = (sec_left) /60;
                   1927:   sec_left = (sec_left) % (60);
                   1928:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1929:   return ascdiff;
                   1930: }
                   1931: 
1.126     brouard  1932: /***************** f1dim *************************/
                   1933: extern int ncom; 
                   1934: extern double *pcom,*xicom;
                   1935: extern double (*nrfunc)(double []); 
                   1936:  
                   1937: double f1dim(double x) 
                   1938: { 
                   1939:   int j; 
                   1940:   double f;
                   1941:   double *xt; 
                   1942:  
                   1943:   xt=vector(1,ncom); 
                   1944:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   1945:   f=(*nrfunc)(xt); 
                   1946:   free_vector(xt,1,ncom); 
                   1947:   return f; 
                   1948: } 
                   1949: 
                   1950: /*****************brent *************************/
                   1951: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  1952: {
                   1953:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   1954:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   1955:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   1956:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   1957:    * returned function value. 
                   1958:   */
1.126     brouard  1959:   int iter; 
                   1960:   double a,b,d,etemp;
1.159     brouard  1961:   double fu=0,fv,fw,fx;
1.164     brouard  1962:   double ftemp=0.;
1.126     brouard  1963:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   1964:   double e=0.0; 
                   1965:  
                   1966:   a=(ax < cx ? ax : cx); 
                   1967:   b=(ax > cx ? ax : cx); 
                   1968:   x=w=v=bx; 
                   1969:   fw=fv=fx=(*f)(x); 
                   1970:   for (iter=1;iter<=ITMAX;iter++) { 
                   1971:     xm=0.5*(a+b); 
                   1972:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   1973:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   1974:     printf(".");fflush(stdout);
                   1975:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  1976: #ifdef DEBUGBRENT
1.126     brouard  1977:     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);
                   1978:     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);
                   1979:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   1980: #endif
                   1981:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   1982:       *xmin=x; 
                   1983:       return fx; 
                   1984:     } 
                   1985:     ftemp=fu;
                   1986:     if (fabs(e) > tol1) { 
                   1987:       r=(x-w)*(fx-fv); 
                   1988:       q=(x-v)*(fx-fw); 
                   1989:       p=(x-v)*q-(x-w)*r; 
                   1990:       q=2.0*(q-r); 
                   1991:       if (q > 0.0) p = -p; 
                   1992:       q=fabs(q); 
                   1993:       etemp=e; 
                   1994:       e=d; 
                   1995:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
1.224     brouard  1996:                                d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
1.126     brouard  1997:       else { 
1.224     brouard  1998:                                d=p/q; 
                   1999:                                u=x+d; 
                   2000:                                if (u-a < tol2 || b-u < tol2) 
                   2001:                                        d=SIGN(tol1,xm-x); 
1.126     brouard  2002:       } 
                   2003:     } else { 
                   2004:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   2005:     } 
                   2006:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   2007:     fu=(*f)(u); 
                   2008:     if (fu <= fx) { 
                   2009:       if (u >= x) a=x; else b=x; 
                   2010:       SHFT(v,w,x,u) 
1.183     brouard  2011:       SHFT(fv,fw,fx,fu) 
                   2012:     } else { 
                   2013:       if (u < x) a=u; else b=u; 
                   2014:       if (fu <= fw || w == x) { 
1.224     brouard  2015:                                v=w; 
                   2016:                                w=u; 
                   2017:                                fv=fw; 
                   2018:                                fw=fu; 
1.183     brouard  2019:       } else if (fu <= fv || v == x || v == w) { 
1.224     brouard  2020:                                v=u; 
                   2021:                                fv=fu; 
1.183     brouard  2022:       } 
                   2023:     } 
1.126     brouard  2024:   } 
                   2025:   nrerror("Too many iterations in brent"); 
                   2026:   *xmin=x; 
                   2027:   return fx; 
                   2028: } 
                   2029: 
                   2030: /****************** mnbrak ***********************/
                   2031: 
                   2032: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   2033:            double (*func)(double)) 
1.183     brouard  2034: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   2035: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   2036: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   2037: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   2038:    */
1.126     brouard  2039:   double ulim,u,r,q, dum;
                   2040:   double fu; 
1.187     brouard  2041: 
                   2042:   double scale=10.;
                   2043:   int iterscale=0;
                   2044: 
                   2045:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   2046:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   2047: 
                   2048: 
                   2049:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   2050:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   2051:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   2052:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   2053:   /* } */
                   2054: 
1.126     brouard  2055:   if (*fb > *fa) { 
                   2056:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  2057:     SHFT(dum,*fb,*fa,dum) 
                   2058:   } 
1.126     brouard  2059:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   2060:   *fc=(*func)(*cx); 
1.183     brouard  2061: #ifdef DEBUG
1.224     brouard  2062:   printf("mnbrak0 a=%lf *fa=%lf, b=%lf *fb=%lf, c=%lf *fc=%lf\n",*ax,*fa,*bx,*fb,*cx, *fc);
                   2063:   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  2064: #endif
1.224     brouard  2065:   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  2066:     r=(*bx-*ax)*(*fb-*fc); 
1.224     brouard  2067:     q=(*bx-*cx)*(*fb-*fa); /* What if fa=inf */
1.126     brouard  2068:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  2069:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   2070:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   2071:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  2072:       fu=(*func)(u); 
1.163     brouard  2073: #ifdef DEBUG
                   2074:       /* f(x)=A(x-u)**2+f(u) */
                   2075:       double A, fparabu; 
                   2076:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   2077:       fparabu= *fa - A*(*ax-u)*(*ax-u);
1.224     brouard  2078:       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);
                   2079:       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  2080:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   2081:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   2082:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   2083:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  2084: #endif 
1.184     brouard  2085: #ifdef MNBRAKORIGINAL
1.183     brouard  2086: #else
1.191     brouard  2087: /*       if (fu > *fc) { */
                   2088: /* #ifdef DEBUG */
                   2089: /*       printf("mnbrak4  fu > fc \n"); */
                   2090: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
                   2091: /* #endif */
                   2092: /*     /\* 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 *\\/  *\/ */
                   2093: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
                   2094: /*     dum=u; /\* Shifting c and u *\/ */
                   2095: /*     u = *cx; */
                   2096: /*     *cx = dum; */
                   2097: /*     dum = fu; */
                   2098: /*     fu = *fc; */
                   2099: /*     *fc =dum; */
                   2100: /*       } else { /\* end *\/ */
                   2101: /* #ifdef DEBUG */
                   2102: /*       printf("mnbrak3  fu < fc \n"); */
                   2103: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
                   2104: /* #endif */
                   2105: /*     dum=u; /\* Shifting c and u *\/ */
                   2106: /*     u = *cx; */
                   2107: /*     *cx = dum; */
                   2108: /*     dum = fu; */
                   2109: /*     fu = *fc; */
                   2110: /*     *fc =dum; */
                   2111: /*       } */
1.224     brouard  2112: #ifdef DEBUGMNBRAK
                   2113:                 double A, fparabu; 
                   2114:      A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   2115:      fparabu= *fa - A*(*ax-u)*(*ax-u);
                   2116:      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);
                   2117:      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  2118: #endif
1.191     brouard  2119:       dum=u; /* Shifting c and u */
                   2120:       u = *cx;
                   2121:       *cx = dum;
                   2122:       dum = fu;
                   2123:       fu = *fc;
                   2124:       *fc =dum;
1.183     brouard  2125: #endif
1.162     brouard  2126:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  2127: #ifdef DEBUG
1.224     brouard  2128:       printf("\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
                   2129:       fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
1.183     brouard  2130: #endif
1.126     brouard  2131:       fu=(*func)(u); 
                   2132:       if (fu < *fc) { 
1.183     brouard  2133: #ifdef DEBUG
1.224     brouard  2134:                                printf("\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   2135:                          fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   2136: #endif
                   2137:                          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
                   2138:                                SHFT(*fb,*fc,fu,(*func)(u)) 
                   2139: #ifdef DEBUG
                   2140:                                        printf("\nmnbrak2 shift GOLD c=%lf",*cx+GOLD*(*cx-*bx));
1.183     brouard  2141: #endif
                   2142:       } 
1.162     brouard  2143:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  2144: #ifdef DEBUG
1.224     brouard  2145:       printf("\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
                   2146:       fprintf(ficlog,"\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
1.183     brouard  2147: #endif
1.126     brouard  2148:       u=ulim; 
                   2149:       fu=(*func)(u); 
1.183     brouard  2150:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   2151: #ifdef DEBUG
1.224     brouard  2152:       printf("\nmnbrak2  u=%lf could be left to b=%lf (if r=%lf > q=%lf parabola has a maximum)\n",u,*bx,r,q);
                   2153:       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  2154: #endif
1.126     brouard  2155:       u=(*cx)+GOLD*(*cx-*bx); 
                   2156:       fu=(*func)(u); 
1.224     brouard  2157: #ifdef DEBUG
                   2158:       printf("\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   2159:       fprintf(ficlog,"\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   2160: #endif
1.183     brouard  2161:     } /* end tests */
1.126     brouard  2162:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  2163:     SHFT(*fa,*fb,*fc,fu) 
                   2164: #ifdef DEBUG
1.224     brouard  2165:       printf("\nmnbrak2 shift (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc);
                   2166:       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  2167: #endif
                   2168:   } /* 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  2169: } 
                   2170: 
                   2171: /*************** linmin ************************/
1.162     brouard  2172: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   2173: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   2174: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   2175: the value of func at the returned location p . This is actually all accomplished by calling the
                   2176: routines mnbrak and brent .*/
1.126     brouard  2177: int ncom; 
                   2178: double *pcom,*xicom;
                   2179: double (*nrfunc)(double []); 
                   2180:  
1.224     brouard  2181: #ifdef LINMINORIGINAL
1.126     brouard  2182: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
1.224     brouard  2183: #else
                   2184: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []), int *flat) 
                   2185: #endif
1.126     brouard  2186: { 
                   2187:   double brent(double ax, double bx, double cx, 
                   2188:               double (*f)(double), double tol, double *xmin); 
                   2189:   double f1dim(double x); 
                   2190:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   2191:              double *fc, double (*func)(double)); 
                   2192:   int j; 
                   2193:   double xx,xmin,bx,ax; 
                   2194:   double fx,fb,fa;
1.187     brouard  2195: 
1.203     brouard  2196: #ifdef LINMINORIGINAL
                   2197: #else
                   2198:   double scale=10., axs, xxs; /* Scale added for infinity */
                   2199: #endif
                   2200:   
1.126     brouard  2201:   ncom=n; 
                   2202:   pcom=vector(1,n); 
                   2203:   xicom=vector(1,n); 
                   2204:   nrfunc=func; 
                   2205:   for (j=1;j<=n;j++) { 
                   2206:     pcom[j]=p[j]; 
1.202     brouard  2207:     xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
1.126     brouard  2208:   } 
1.187     brouard  2209: 
1.203     brouard  2210: #ifdef LINMINORIGINAL
                   2211:   xx=1.;
                   2212: #else
                   2213:   axs=0.0;
                   2214:   xxs=1.;
                   2215:   do{
                   2216:     xx= xxs;
                   2217: #endif
1.187     brouard  2218:     ax=0.;
                   2219:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   2220:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   2221:     /* 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))   */
                   2222:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   2223:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   2224:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   2225:     /* 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  2226: #ifdef LINMINORIGINAL
                   2227: #else
                   2228:     if (fx != fx){
1.224     brouard  2229:                        xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                   2230:                        printf("|");
                   2231:                        fprintf(ficlog,"|");
1.203     brouard  2232: #ifdef DEBUGLINMIN
1.224     brouard  2233:                        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  2234: #endif
                   2235:     }
1.224     brouard  2236:   }while(fx != fx && xxs > 1.e-5);
1.203     brouard  2237: #endif
                   2238:   
1.191     brouard  2239: #ifdef DEBUGLINMIN
                   2240:   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  2241:   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  2242: #endif
1.224     brouard  2243: #ifdef LINMINORIGINAL
                   2244: #else
                   2245:        if(fb == fx){ /* Flat function in the direction */
                   2246:                xmin=xx;
                   2247:     *flat=1;
                   2248:        }else{
                   2249:     *flat=0;
                   2250: #endif
                   2251:                /*Flat mnbrak2 shift (*ax=0.000000000000, *fa=51626.272983130431), (*bx=-1.618034000000, *fb=51590.149499362531), (*cx=-4.236068025156, *fc=51590.149499362531) */
1.187     brouard  2252:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   2253:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   2254:   /* fmin = f(p[j] + xmin * xi[j]) */
                   2255:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   2256:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  2257: #ifdef DEBUG
1.224     brouard  2258:   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);
                   2259:   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);
                   2260: #endif
                   2261: #ifdef LINMINORIGINAL
                   2262: #else
                   2263:                        }
1.126     brouard  2264: #endif
1.191     brouard  2265: #ifdef DEBUGLINMIN
                   2266:   printf("linmin end ");
1.202     brouard  2267:   fprintf(ficlog,"linmin end ");
1.191     brouard  2268: #endif
1.126     brouard  2269:   for (j=1;j<=n;j++) { 
1.203     brouard  2270: #ifdef LINMINORIGINAL
                   2271:     xi[j] *= xmin; 
                   2272: #else
                   2273: #ifdef DEBUGLINMIN
                   2274:     if(xxs <1.0)
                   2275:       printf(" before xi[%d]=%12.8f", j,xi[j]);
                   2276: #endif
                   2277:     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) */
                   2278: #ifdef DEBUGLINMIN
                   2279:     if(xxs <1.0)
                   2280:       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 );
                   2281: #endif
                   2282: #endif
1.187     brouard  2283:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  2284:   } 
1.191     brouard  2285: #ifdef DEBUGLINMIN
1.203     brouard  2286:   printf("\n");
1.191     brouard  2287:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
1.202     brouard  2288:   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  2289:   for (j=1;j<=n;j++) { 
1.202     brouard  2290:     printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   2291:     fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   2292:     if(j % ncovmodel == 0){
1.191     brouard  2293:       printf("\n");
1.202     brouard  2294:       fprintf(ficlog,"\n");
                   2295:     }
1.191     brouard  2296:   }
1.203     brouard  2297: #else
1.191     brouard  2298: #endif
1.126     brouard  2299:   free_vector(xicom,1,n); 
                   2300:   free_vector(pcom,1,n); 
                   2301: } 
                   2302: 
                   2303: 
                   2304: /*************** powell ************************/
1.162     brouard  2305: /*
                   2306: Minimization of a function func of n variables. Input consists of an initial starting point
                   2307: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
                   2308: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
                   2309: such that failure to decrease by more than this amount on one iteration signals doneness. On
                   2310: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   2311: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   2312:  */
1.224     brouard  2313: #ifdef LINMINORIGINAL
                   2314: #else
                   2315:        int *flatdir; /* Function is vanishing in that direction */
1.225     brouard  2316:        int flat=0, flatd=0; /* Function is vanishing in that direction */
1.224     brouard  2317: #endif
1.126     brouard  2318: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   2319:            double (*func)(double [])) 
                   2320: { 
1.224     brouard  2321: #ifdef LINMINORIGINAL
                   2322:  void linmin(double p[], double xi[], int n, double *fret, 
1.126     brouard  2323:              double (*func)(double [])); 
1.224     brouard  2324: #else 
1.241     brouard  2325:  void linmin(double p[], double xi[], int n, double *fret,
                   2326:             double (*func)(double []),int *flat); 
1.224     brouard  2327: #endif
1.239     brouard  2328:  int i,ibig,j,jk,k; 
1.126     brouard  2329:   double del,t,*pt,*ptt,*xit;
1.181     brouard  2330:   double directest;
1.126     brouard  2331:   double fp,fptt;
                   2332:   double *xits;
                   2333:   int niterf, itmp;
1.224     brouard  2334: #ifdef LINMINORIGINAL
                   2335: #else
                   2336: 
                   2337:   flatdir=ivector(1,n); 
                   2338:   for (j=1;j<=n;j++) flatdir[j]=0; 
                   2339: #endif
1.126     brouard  2340: 
                   2341:   pt=vector(1,n); 
                   2342:   ptt=vector(1,n); 
                   2343:   xit=vector(1,n); 
                   2344:   xits=vector(1,n); 
                   2345:   *fret=(*func)(p); 
                   2346:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.202     brouard  2347:   rcurr_time = time(NULL);  
1.126     brouard  2348:   for (*iter=1;;++(*iter)) { 
1.187     brouard  2349:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  2350:     ibig=0; 
                   2351:     del=0.0; 
1.157     brouard  2352:     rlast_time=rcurr_time;
                   2353:     /* (void) gettimeofday(&curr_time,&tzp); */
                   2354:     rcurr_time = time(NULL);  
                   2355:     curr_time = *localtime(&rcurr_time);
                   2356:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   2357:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   2358: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.192     brouard  2359:     for (i=1;i<=n;i++) {
1.126     brouard  2360:       fprintf(ficrespow," %.12lf", p[i]);
                   2361:     }
1.239     brouard  2362:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   2363:     printf("\n#model=  1      +     age ");
                   2364:     fprintf(ficlog,"\n#model=  1      +     age ");
                   2365:     if(nagesqr==1){
1.241     brouard  2366:        printf("  + age*age  ");
                   2367:        fprintf(ficlog,"  + age*age  ");
1.239     brouard  2368:     }
                   2369:     for(j=1;j <=ncovmodel-2;j++){
                   2370:       if(Typevar[j]==0) {
                   2371:        printf("  +      V%d  ",Tvar[j]);
                   2372:        fprintf(ficlog,"  +      V%d  ",Tvar[j]);
                   2373:       }else if(Typevar[j]==1) {
                   2374:        printf("  +    V%d*age ",Tvar[j]);
                   2375:        fprintf(ficlog,"  +    V%d*age ",Tvar[j]);
                   2376:       }else if(Typevar[j]==2) {
                   2377:        printf("  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   2378:        fprintf(ficlog,"  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   2379:       }
                   2380:     }
1.126     brouard  2381:     printf("\n");
1.239     brouard  2382: /*     printf("12   47.0114589    0.0154322   33.2424412    0.3279905    2.3731903  */
                   2383: /* 13  -21.5392400    0.1118147    1.2680506    1.2973408   -1.0663662  */
1.126     brouard  2384:     fprintf(ficlog,"\n");
1.239     brouard  2385:     for(i=1,jk=1; i <=nlstate; i++){
                   2386:       for(k=1; k <=(nlstate+ndeath); k++){
                   2387:        if (k != i) {
                   2388:          printf("%d%d ",i,k);
                   2389:          fprintf(ficlog,"%d%d ",i,k);
                   2390:          for(j=1; j <=ncovmodel; j++){
                   2391:            printf("%12.7f ",p[jk]);
                   2392:            fprintf(ficlog,"%12.7f ",p[jk]);
                   2393:            jk++; 
                   2394:          }
                   2395:          printf("\n");
                   2396:          fprintf(ficlog,"\n");
                   2397:        }
                   2398:       }
                   2399:     }
1.241     brouard  2400:     if(*iter <=3 && *iter >1){
1.157     brouard  2401:       tml = *localtime(&rcurr_time);
                   2402:       strcpy(strcurr,asctime(&tml));
                   2403:       rforecast_time=rcurr_time; 
1.126     brouard  2404:       itmp = strlen(strcurr);
                   2405:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
1.241     brouard  2406:        strcurr[itmp-1]='\0';
1.162     brouard  2407:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  2408:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  2409:       for(niterf=10;niterf<=30;niterf+=10){
1.241     brouard  2410:        rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   2411:        forecast_time = *localtime(&rforecast_time);
                   2412:        strcpy(strfor,asctime(&forecast_time));
                   2413:        itmp = strlen(strfor);
                   2414:        if(strfor[itmp-1]=='\n')
                   2415:          strfor[itmp-1]='\0';
                   2416:        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);
                   2417:        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  2418:       }
                   2419:     }
1.187     brouard  2420:     for (i=1;i<=n;i++) { /* For each direction i */
                   2421:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  2422:       fptt=(*fret); 
                   2423: #ifdef DEBUG
1.203     brouard  2424:       printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   2425:       fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  2426: #endif
1.203     brouard  2427:       printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  2428:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.224     brouard  2429: #ifdef LINMINORIGINAL
1.188     brouard  2430:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
1.224     brouard  2431: #else
                   2432:       linmin(p,xit,n,fret,func,&flat); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   2433:                        flatdir[i]=flat; /* Function is vanishing in that direction i */
                   2434: #endif
                   2435:                        /* Outputs are fret(new point p) p is updated and xit rescaled */
1.188     brouard  2436:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
1.224     brouard  2437:                                /* because that direction will be replaced unless the gain del is small */
                   2438:                                /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   2439:                                /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   2440:                                /* with the new direction. */
                   2441:                                del=fabs(fptt-(*fret)); 
                   2442:                                ibig=i; 
1.126     brouard  2443:       } 
                   2444: #ifdef DEBUG
                   2445:       printf("%d %.12e",i,(*fret));
                   2446:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   2447:       for (j=1;j<=n;j++) {
1.224     brouard  2448:                                xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   2449:                                printf(" x(%d)=%.12e",j,xit[j]);
                   2450:                                fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
1.126     brouard  2451:       }
                   2452:       for(j=1;j<=n;j++) {
1.225     brouard  2453:                                printf(" p(%d)=%.12e",j,p[j]);
                   2454:                                fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  2455:       }
                   2456:       printf("\n");
                   2457:       fprintf(ficlog,"\n");
                   2458: #endif
1.187     brouard  2459:     } /* end loop on each direction i */
                   2460:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  2461:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  2462:     /* New value of last point Pn is not computed, P(n-1) */
1.224     brouard  2463:       for(j=1;j<=n;j++) {
1.302     brouard  2464:        if(flatdir[j] >0){
                   2465:          printf(" p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2466:          fprintf(ficlog," p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2467:        }
                   2468:        /* printf("\n"); */
                   2469:        /* fprintf(ficlog,"\n"); */
                   2470:       }
1.243     brouard  2471:     /* if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /\* Did we reach enough precision? *\/ */
                   2472:     if (2.0*fabs(fp-(*fret)) <= ftol) { /* Did we reach enough precision? */
1.188     brouard  2473:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   2474:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   2475:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   2476:       /* decreased of more than 3.84  */
                   2477:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   2478:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   2479:       /* By adding 10 parameters more the gain should be 18.31 */
1.224     brouard  2480:                        
1.188     brouard  2481:       /* Starting the program with initial values given by a former maximization will simply change */
                   2482:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   2483:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   2484:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  2485: #ifdef DEBUG
                   2486:       int k[2],l;
                   2487:       k[0]=1;
                   2488:       k[1]=-1;
                   2489:       printf("Max: %.12e",(*func)(p));
                   2490:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   2491:       for (j=1;j<=n;j++) {
                   2492:        printf(" %.12e",p[j]);
                   2493:        fprintf(ficlog," %.12e",p[j]);
                   2494:       }
                   2495:       printf("\n");
                   2496:       fprintf(ficlog,"\n");
                   2497:       for(l=0;l<=1;l++) {
                   2498:        for (j=1;j<=n;j++) {
                   2499:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   2500:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2501:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2502:        }
                   2503:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2504:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2505:       }
                   2506: #endif
                   2507: 
1.224     brouard  2508: #ifdef LINMINORIGINAL
                   2509: #else
                   2510:       free_ivector(flatdir,1,n); 
                   2511: #endif
1.126     brouard  2512:       free_vector(xit,1,n); 
                   2513:       free_vector(xits,1,n); 
                   2514:       free_vector(ptt,1,n); 
                   2515:       free_vector(pt,1,n); 
                   2516:       return; 
1.192     brouard  2517:     } /* enough precision */ 
1.240     brouard  2518:     if (*iter == ITMAX*n) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  2519:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  2520:       ptt[j]=2.0*p[j]-pt[j]; 
                   2521:       xit[j]=p[j]-pt[j]; 
                   2522:       pt[j]=p[j]; 
                   2523:     } 
1.181     brouard  2524:     fptt=(*func)(ptt); /* f_3 */
1.224     brouard  2525: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
                   2526:                if (*iter <=4) {
1.225     brouard  2527: #else
                   2528: #endif
1.224     brouard  2529: #ifdef POWELLNOF3INFF1TEST    /* skips test F3 <F1 */
1.192     brouard  2530: #else
1.161     brouard  2531:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.192     brouard  2532: #endif
1.162     brouard  2533:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  2534:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  2535:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   2536:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   2537:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.224     brouard  2538:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del or directest <0 */
                   2539:       /* also  lamda^2=(f1-f2)^2/mu² is a parasite solution of powell */
                   2540:       /* For powell, inclusion of this average direction is only if t(del)<0 or del inbetween mu^2 and lambda^2 */
1.161     brouard  2541:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.224     brouard  2542:       /*  Even if f3 <f1, directest can be negative and t >0 */
                   2543:       /* mu² and del² are equal when f3=f1 */
                   2544:                        /* f3 < f1 : mu² < del <= lambda^2 both test are equivalent */
                   2545:                        /* f3 < f1 : mu² < lambda^2 < del then directtest is negative and powell t is positive */
                   2546:                        /* f3 > f1 : lambda² < mu^2 < del then t is negative and directest >0  */
                   2547:                        /* f3 > f1 : lambda² < del < mu^2 then t is positive and directest >0  */
1.183     brouard  2548: #ifdef NRCORIGINAL
                   2549:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   2550: #else
                   2551:       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  2552:       t= t- del*SQR(fp-fptt);
1.183     brouard  2553: #endif
1.202     brouard  2554:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
1.161     brouard  2555: #ifdef DEBUG
1.181     brouard  2556:       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);
                   2557:       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  2558:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2559:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2560:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2561:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2562:       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);
                   2563:       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);
                   2564: #endif
1.183     brouard  2565: #ifdef POWELLORIGINAL
                   2566:       if (t < 0.0) { /* Then we use it for new direction */
                   2567: #else
1.182     brouard  2568:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.224     brouard  2569:                                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  2570:         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  2571:         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  2572:         fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   2573:       } 
1.181     brouard  2574:       if (directest < 0.0) { /* Then we use it for new direction */
                   2575: #endif
1.191     brouard  2576: #ifdef DEBUGLINMIN
1.234     brouard  2577:        printf("Before linmin in direction P%d-P0\n",n);
                   2578:        for (j=1;j<=n;j++) {
                   2579:          printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2580:          fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2581:          if(j % ncovmodel == 0){
                   2582:            printf("\n");
                   2583:            fprintf(ficlog,"\n");
                   2584:          }
                   2585:        }
1.224     brouard  2586: #endif
                   2587: #ifdef LINMINORIGINAL
1.234     brouard  2588:        linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
1.224     brouard  2589: #else
1.234     brouard  2590:        linmin(p,xit,n,fret,func,&flat); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                   2591:        flatdir[i]=flat; /* Function is vanishing in that direction i */
1.191     brouard  2592: #endif
1.234     brouard  2593:        
1.191     brouard  2594: #ifdef DEBUGLINMIN
1.234     brouard  2595:        for (j=1;j<=n;j++) { 
                   2596:          printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2597:          fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2598:          if(j % ncovmodel == 0){
                   2599:            printf("\n");
                   2600:            fprintf(ficlog,"\n");
                   2601:          }
                   2602:        }
1.224     brouard  2603: #endif
1.234     brouard  2604:        for (j=1;j<=n;j++) { 
                   2605:          xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   2606:          xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
                   2607:        }
1.224     brouard  2608: #ifdef LINMINORIGINAL
                   2609: #else
1.234     brouard  2610:        for (j=1, flatd=0;j<=n;j++) {
                   2611:          if(flatdir[j]>0)
                   2612:            flatd++;
                   2613:        }
                   2614:        if(flatd >0){
1.255     brouard  2615:          printf("%d flat directions: ",flatd);
                   2616:          fprintf(ficlog,"%d flat directions :",flatd);
1.234     brouard  2617:          for (j=1;j<=n;j++) { 
                   2618:            if(flatdir[j]>0){
                   2619:              printf("%d ",j);
                   2620:              fprintf(ficlog,"%d ",j);
                   2621:            }
                   2622:          }
                   2623:          printf("\n");
                   2624:          fprintf(ficlog,"\n");
                   2625:        }
1.191     brouard  2626: #endif
1.234     brouard  2627:        printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2628:        fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2629:        
1.126     brouard  2630: #ifdef DEBUG
1.234     brouard  2631:        printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2632:        fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2633:        for(j=1;j<=n;j++){
                   2634:          printf(" %lf",xit[j]);
                   2635:          fprintf(ficlog," %lf",xit[j]);
                   2636:        }
                   2637:        printf("\n");
                   2638:        fprintf(ficlog,"\n");
1.126     brouard  2639: #endif
1.192     brouard  2640:       } /* end of t or directest negative */
1.224     brouard  2641: #ifdef POWELLNOF3INFF1TEST
1.192     brouard  2642: #else
1.234     brouard  2643:       } /* end if (fptt < fp)  */
1.192     brouard  2644: #endif
1.225     brouard  2645: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
1.234     brouard  2646:     } /*NODIRECTIONCHANGEDUNTILNITER  No change in drections until some iterations are done */
1.225     brouard  2647: #else
1.224     brouard  2648: #endif
1.234     brouard  2649:                } /* loop iteration */ 
1.126     brouard  2650: } 
1.234     brouard  2651:   
1.126     brouard  2652: /**** Prevalence limit (stable or period prevalence)  ****************/
1.234     brouard  2653:   
1.235     brouard  2654:   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  2655:   {
1.279     brouard  2656:     /**< Computes the prevalence limit in each live state at age x and for covariate combination ij 
                   2657:      *   (and selected quantitative values in nres)
                   2658:      *  by left multiplying the unit
                   2659:      *  matrix by transitions matrix until convergence is reached with precision ftolpl 
                   2660:      * Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I
                   2661:      * Wx is row vector: population in state 1, population in state 2, population dead
                   2662:      * or prevalence in state 1, prevalence in state 2, 0
                   2663:      * newm is the matrix after multiplications, its rows are identical at a factor.
                   2664:      * Inputs are the parameter, age, a tolerance for the prevalence limit ftolpl.
                   2665:      * Output is prlim.
                   2666:      * Initial matrix pimij 
                   2667:      */
1.206     brouard  2668:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2669:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2670:   /*  0,                   0                  , 1} */
                   2671:   /*
                   2672:    * and after some iteration: */
                   2673:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2674:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2675:   /*  0,                   0                  , 1} */
                   2676:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2677:   /* {0.51571254859325999, 0.4842874514067399, */
                   2678:   /*  0.51326036147820708, 0.48673963852179264} */
                   2679:   /* If we start from prlim again, prlim tends to a constant matrix */
1.234     brouard  2680:     
1.126     brouard  2681:   int i, ii,j,k;
1.209     brouard  2682:   double *min, *max, *meandiff, maxmax,sumnew=0.;
1.145     brouard  2683:   /* double **matprod2(); */ /* test */
1.218     brouard  2684:   double **out, cov[NCOVMAX+1], **pmij(); /* **pmmij is a global variable feeded with oldms etc */
1.126     brouard  2685:   double **newm;
1.209     brouard  2686:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
1.203     brouard  2687:   int ncvloop=0;
1.288     brouard  2688:   int first=0;
1.169     brouard  2689:   
1.209     brouard  2690:   min=vector(1,nlstate);
                   2691:   max=vector(1,nlstate);
                   2692:   meandiff=vector(1,nlstate);
                   2693: 
1.218     brouard  2694:        /* Starting with matrix unity */
1.126     brouard  2695:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2696:     for (j=1;j<=nlstate+ndeath;j++){
                   2697:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2698:     }
1.169     brouard  2699:   
                   2700:   cov[1]=1.;
                   2701:   
                   2702:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.202     brouard  2703:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.126     brouard  2704:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
1.202     brouard  2705:     ncvloop++;
1.126     brouard  2706:     newm=savm;
                   2707:     /* Covariates have to be included here again */
1.138     brouard  2708:     cov[2]=agefin;
1.187     brouard  2709:     if(nagesqr==1)
                   2710:       cov[3]= agefin*agefin;;
1.234     brouard  2711:     for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   2712:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   2713:       cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
1.235     brouard  2714:       /* 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  2715:     }
                   2716:     for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   2717:                        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
1.235     brouard  2718:       cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   2719:       /* 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  2720:     }
1.237     brouard  2721:     for (k=1; k<=cptcovage;k++){  /* For product with age */
1.234     brouard  2722:       if(Dummy[Tvar[Tage[k]]]){
                   2723:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2724:       } else{
1.235     brouard  2725:        cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
1.234     brouard  2726:       }
1.235     brouard  2727:       /* 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  2728:     }
1.237     brouard  2729:     for (k=1; k<=cptcovprod;k++){ /* For product without age */
1.235     brouard  2730:       /* 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  2731:       if(Dummy[Tvard[k][1]==0]){
                   2732:        if(Dummy[Tvard[k][2]==0]){
                   2733:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2734:        }else{
                   2735:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k];
                   2736:        }
                   2737:       }else{
                   2738:        if(Dummy[Tvard[k][2]==0]){
                   2739:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]];
                   2740:        }else{
                   2741:          cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]];
                   2742:        }
                   2743:       }
1.234     brouard  2744:     }
1.138     brouard  2745:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2746:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2747:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  2748:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2749:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2750:                /* age and covariate values of ij are in 'cov' */
1.142     brouard  2751:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  2752:     
1.126     brouard  2753:     savm=oldm;
                   2754:     oldm=newm;
1.209     brouard  2755: 
                   2756:     for(j=1; j<=nlstate; j++){
                   2757:       max[j]=0.;
                   2758:       min[j]=1.;
                   2759:     }
                   2760:     for(i=1;i<=nlstate;i++){
                   2761:       sumnew=0;
                   2762:       for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   2763:       for(j=1; j<=nlstate; j++){ 
                   2764:        prlim[i][j]= newm[i][j]/(1-sumnew);
                   2765:        max[j]=FMAX(max[j],prlim[i][j]);
                   2766:        min[j]=FMIN(min[j],prlim[i][j]);
                   2767:       }
                   2768:     }
                   2769: 
1.126     brouard  2770:     maxmax=0.;
1.209     brouard  2771:     for(j=1; j<=nlstate; j++){
                   2772:       meandiff[j]=(max[j]-min[j])/(max[j]+min[j])*2.; /* mean difference for each column */
                   2773:       maxmax=FMAX(maxmax,meandiff[j]);
                   2774:       /* 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  2775:     } /* j loop */
1.203     brouard  2776:     *ncvyear= (int)age- (int)agefin;
1.208     brouard  2777:     /* 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  2778:     if(maxmax < ftolpl){
1.209     brouard  2779:       /* printf("maxmax=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
                   2780:       free_vector(min,1,nlstate);
                   2781:       free_vector(max,1,nlstate);
                   2782:       free_vector(meandiff,1,nlstate);
1.126     brouard  2783:       return prlim;
                   2784:     }
1.288     brouard  2785:   } /* agefin loop */
1.208     brouard  2786:     /* After some age loop it doesn't converge */
1.288     brouard  2787:   if(!first){
                   2788:     first=1;
                   2789:     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);
                   2790:   }
                   2791:   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);
                   2792: 
1.209     brouard  2793:   /* 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); */
                   2794:   free_vector(min,1,nlstate);
                   2795:   free_vector(max,1,nlstate);
                   2796:   free_vector(meandiff,1,nlstate);
1.208     brouard  2797:   
1.169     brouard  2798:   return prlim; /* should not reach here */
1.126     brouard  2799: }
                   2800: 
1.217     brouard  2801: 
                   2802:  /**** Back Prevalence limit (stable or period prevalence)  ****************/
                   2803: 
1.218     brouard  2804:  /* 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) */
                   2805:  /* 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  2806:   double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ftolpl, int *ncvyear, int ij, int nres)
1.217     brouard  2807: {
1.264     brouard  2808:   /* 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  2809:      matrix by transitions matrix until convergence is reached with precision ftolpl */
                   2810:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2811:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2812:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2813:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2814:   /* Initial matrix pimij */
                   2815:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2816:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2817:   /*  0,                   0                  , 1} */
                   2818:   /*
                   2819:    * and after some iteration: */
                   2820:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2821:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2822:   /*  0,                   0                  , 1} */
                   2823:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2824:   /* {0.51571254859325999, 0.4842874514067399, */
                   2825:   /*  0.51326036147820708, 0.48673963852179264} */
                   2826:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2827: 
                   2828:   int i, ii,j,k;
1.247     brouard  2829:   int first=0;
1.217     brouard  2830:   double *min, *max, *meandiff, maxmax,sumnew=0.;
                   2831:   /* double **matprod2(); */ /* test */
                   2832:   double **out, cov[NCOVMAX+1], **bmij();
                   2833:   double **newm;
1.218     brouard  2834:   double        **dnewm, **doldm, **dsavm;  /* for use */
                   2835:   double        **oldm, **savm;  /* for use */
                   2836: 
1.217     brouard  2837:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
                   2838:   int ncvloop=0;
                   2839:   
                   2840:   min=vector(1,nlstate);
                   2841:   max=vector(1,nlstate);
                   2842:   meandiff=vector(1,nlstate);
                   2843: 
1.266     brouard  2844:   dnewm=ddnewms; doldm=ddoldms; dsavm=ddsavms;
                   2845:   oldm=oldms; savm=savms;
                   2846:   
                   2847:   /* Starting with matrix unity */
                   2848:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2849:     for (j=1;j<=nlstate+ndeath;j++){
1.217     brouard  2850:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2851:     }
                   2852:   
                   2853:   cov[1]=1.;
                   2854:   
                   2855:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2856:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.218     brouard  2857:   /* for(agefin=age+stepm/YEARM; agefin<=age+delaymax; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
1.288     brouard  2858:   /* for(agefin=age; agefin<AGESUP; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
                   2859:   for(agefin=age; agefin<FMIN(AGESUP,age+delaymax); agefin=agefin+stepm/YEARM){ /* A changer en age */
1.217     brouard  2860:     ncvloop++;
1.218     brouard  2861:     newm=savm; /* oldm should be kept from previous iteration or unity at start */
                   2862:                /* newm points to the allocated table savm passed by the function it can be written, savm could be reallocated */
1.217     brouard  2863:     /* Covariates have to be included here again */
                   2864:     cov[2]=agefin;
                   2865:     if(nagesqr==1)
                   2866:       cov[3]= agefin*agefin;;
1.242     brouard  2867:     for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   2868:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   2869:       cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
1.264     brouard  2870:       /* 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  2871:     }
                   2872:     /* for (k=1; k<=cptcovn;k++) { */
                   2873:     /*   /\* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; *\/ */
                   2874:     /*   cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   2875:     /*   /\* 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])]); *\/ */
                   2876:     /* } */
                   2877:     for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   2878:                        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   2879:       cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   2880:       /* 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]); */
                   2881:     }
                   2882:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2]; */
                   2883:     /* for (k=1; k<=cptcovprod;k++) /\* Useless *\/ */
                   2884:     /*   /\* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; *\/ */
                   2885:     /*   cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)]; */
                   2886:     for (k=1; k<=cptcovage;k++){  /* For product with age */
                   2887:       if(Dummy[Tvar[Tage[k]]]){
                   2888:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2889:       } else{
                   2890:        cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   2891:       }
                   2892:       /* 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]); */
                   2893:     }
                   2894:     for (k=1; k<=cptcovprod;k++){ /* For product without age */
                   2895:       /* 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]); */
                   2896:       if(Dummy[Tvard[k][1]==0]){
                   2897:        if(Dummy[Tvard[k][2]==0]){
                   2898:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2899:        }else{
                   2900:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k];
                   2901:        }
                   2902:       }else{
                   2903:        if(Dummy[Tvard[k][2]==0]){
                   2904:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]];
                   2905:        }else{
                   2906:          cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]];
                   2907:        }
                   2908:       }
1.217     brouard  2909:     }
                   2910:     
                   2911:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2912:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2913:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
                   2914:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2915:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2916:                /* ij should be linked to the correct index of cov */
                   2917:                /* age and covariate values ij are in 'cov', but we need to pass
                   2918:                 * ij for the observed prevalence at age and status and covariate
                   2919:                 * number:  prevacurrent[(int)agefin][ii][ij]
                   2920:                 */
                   2921:     /* 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 *\/ */
                   2922:     /* 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 *\/ */
                   2923:     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  2924:     /* if((int)age == 86 || (int)age == 87){ */
1.266     brouard  2925:     /*   printf(" Backward prevalim age=%d agefin=%d \n", (int) age, (int) agefin); */
                   2926:     /*   for(i=1; i<=nlstate+ndeath; i++) { */
                   2927:     /*         printf("%d newm= ",i); */
                   2928:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2929:     /*           printf("%f ",newm[i][j]); */
                   2930:     /*         } */
                   2931:     /*         printf("oldm * "); */
                   2932:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2933:     /*           printf("%f ",oldm[i][j]); */
                   2934:     /*         } */
1.268     brouard  2935:     /*         printf(" bmmij "); */
1.266     brouard  2936:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2937:     /*           printf("%f ",pmmij[i][j]); */
                   2938:     /*         } */
                   2939:     /*         printf("\n"); */
                   2940:     /*   } */
                   2941:     /* } */
1.217     brouard  2942:     savm=oldm;
                   2943:     oldm=newm;
1.266     brouard  2944: 
1.217     brouard  2945:     for(j=1; j<=nlstate; j++){
                   2946:       max[j]=0.;
                   2947:       min[j]=1.;
                   2948:     }
                   2949:     for(j=1; j<=nlstate; j++){ 
                   2950:       for(i=1;i<=nlstate;i++){
1.234     brouard  2951:        /* bprlim[i][j]= newm[i][j]/(1-sumnew); */
                   2952:        bprlim[i][j]= newm[i][j];
                   2953:        max[i]=FMAX(max[i],bprlim[i][j]); /* Max in line */
                   2954:        min[i]=FMIN(min[i],bprlim[i][j]);
1.217     brouard  2955:       }
                   2956:     }
1.218     brouard  2957:                
1.217     brouard  2958:     maxmax=0.;
                   2959:     for(i=1; i<=nlstate; i++){
                   2960:       meandiff[i]=(max[i]-min[i])/(max[i]+min[i])*2.; /* mean difference for each column */
                   2961:       maxmax=FMAX(maxmax,meandiff[i]);
                   2962:       /* 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  2963:     } /* i loop */
1.217     brouard  2964:     *ncvyear= -( (int)age- (int)agefin);
1.268     brouard  2965:     /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  2966:     if(maxmax < ftolpl){
1.220     brouard  2967:       /* printf("OK Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  2968:       free_vector(min,1,nlstate);
                   2969:       free_vector(max,1,nlstate);
                   2970:       free_vector(meandiff,1,nlstate);
                   2971:       return bprlim;
                   2972:     }
1.288     brouard  2973:   } /* agefin loop */
1.217     brouard  2974:     /* After some age loop it doesn't converge */
1.288     brouard  2975:   if(!first){
1.247     brouard  2976:     first=1;
                   2977:     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\
                   2978: 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);
                   2979:   }
                   2980:   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  2981: 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);
                   2982:   /* 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); */
                   2983:   free_vector(min,1,nlstate);
                   2984:   free_vector(max,1,nlstate);
                   2985:   free_vector(meandiff,1,nlstate);
                   2986:   
                   2987:   return bprlim; /* should not reach here */
                   2988: }
                   2989: 
1.126     brouard  2990: /*************** transition probabilities ***************/ 
                   2991: 
                   2992: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   2993: {
1.138     brouard  2994:   /* According to parameters values stored in x and the covariate's values stored in cov,
1.266     brouard  2995:      computes the probability to be observed in state j (after stepm years) being in state i by appying the
1.138     brouard  2996:      model to the ncovmodel covariates (including constant and age).
                   2997:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2998:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2999:      ncth covariate in the global vector x is given by the formula:
                   3000:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   3001:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   3002:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   3003:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
1.266     brouard  3004:      Outputs ps[i][j] or probability to be observed in j being in i according to
1.138     brouard  3005:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
1.266     brouard  3006:      Sum on j ps[i][j] should equal to 1.
1.138     brouard  3007:   */
                   3008:   double s1, lnpijopii;
1.126     brouard  3009:   /*double t34;*/
1.164     brouard  3010:   int i,j, nc, ii, jj;
1.126     brouard  3011: 
1.223     brouard  3012:   for(i=1; i<= nlstate; i++){
                   3013:     for(j=1; j<i;j++){
                   3014:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   3015:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   3016:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   3017:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   3018:       }
                   3019:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   3020:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   3021:     }
                   3022:     for(j=i+1; j<=nlstate+ndeath;j++){
                   3023:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   3024:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   3025:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   3026:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   3027:       }
                   3028:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   3029:     }
                   3030:   }
1.218     brouard  3031:   
1.223     brouard  3032:   for(i=1; i<= nlstate; i++){
                   3033:     s1=0;
                   3034:     for(j=1; j<i; j++){
                   3035:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   3036:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   3037:     }
                   3038:     for(j=i+1; j<=nlstate+ndeath; j++){
                   3039:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   3040:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   3041:     }
                   3042:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   3043:     ps[i][i]=1./(s1+1.);
                   3044:     /* Computing other pijs */
                   3045:     for(j=1; j<i; j++)
                   3046:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3047:     for(j=i+1; j<=nlstate+ndeath; j++)
                   3048:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3049:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   3050:   } /* end i */
1.218     brouard  3051:   
1.223     brouard  3052:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   3053:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   3054:       ps[ii][jj]=0;
                   3055:       ps[ii][ii]=1;
                   3056:     }
                   3057:   }
1.294     brouard  3058: 
                   3059: 
1.223     brouard  3060:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   3061:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   3062:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   3063:   /*   } */
                   3064:   /*   printf("\n "); */
                   3065:   /* } */
                   3066:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   3067:   /*
                   3068:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
1.218     brouard  3069:                goto end;*/
1.266     brouard  3070:   return ps; /* Pointer is unchanged since its call */
1.126     brouard  3071: }
                   3072: 
1.218     brouard  3073: /*************** backward transition probabilities ***************/ 
                   3074: 
                   3075:  /* 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 ) */
                   3076: /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ***dnewm, double **doldm, double **dsavm, int ij ) */
                   3077:  double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, int ij )
                   3078: {
1.302     brouard  3079:   /* 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  3080:    * 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  3081:    */
1.218     brouard  3082:   int i, ii, j,k;
1.222     brouard  3083:   
                   3084:   double **out, **pmij();
                   3085:   double sumnew=0.;
1.218     brouard  3086:   double agefin;
1.292     brouard  3087:   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  3088:   double **dnewm, **dsavm, **doldm;
                   3089:   double **bbmij;
                   3090:   
1.218     brouard  3091:   doldm=ddoldms; /* global pointers */
1.222     brouard  3092:   dnewm=ddnewms;
                   3093:   dsavm=ddsavms;
                   3094:   
                   3095:   agefin=cov[2];
1.268     brouard  3096:   /* Bx = Diag(w_x) P_x Diag(Sum_i w^i_x p^ij_x */
1.222     brouard  3097:   /* bmij *//* age is cov[2], ij is included in cov, but we need for
1.266     brouard  3098:      the observed prevalence (with this covariate ij) at beginning of transition */
                   3099:   /* dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
1.268     brouard  3100: 
                   3101:   /* P_x */
1.266     brouard  3102:   pmmij=pmij(pmmij,cov,ncovmodel,x,nlstate); /*This is forward probability from agefin to agefin + stepm */
1.268     brouard  3103:   /* outputs pmmij which is a stochastic matrix in row */
                   3104: 
                   3105:   /* Diag(w_x) */
1.292     brouard  3106:   /* Rescaling the cross-sectional prevalence: Problem with prevacurrent which can be zero */
1.268     brouard  3107:   sumnew=0.;
1.269     brouard  3108:   /*for (ii=1;ii<=nlstate+ndeath;ii++){*/
1.268     brouard  3109:   for (ii=1;ii<=nlstate;ii++){ /* Only on live states */
1.297     brouard  3110:     /* printf(" agefin=%d, ii=%d, ij=%d, prev=%f\n",(int)agefin,ii, ij, prevacurrent[(int)agefin][ii][ij]); */
1.268     brouard  3111:     sumnew+=prevacurrent[(int)agefin][ii][ij];
                   3112:   }
                   3113:   if(sumnew >0.01){  /* At least some value in the prevalence */
                   3114:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   3115:       for (j=1;j<=nlstate+ndeath;j++)
1.269     brouard  3116:        doldm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij]/sumnew : 0.0);
1.268     brouard  3117:     }
                   3118:   }else{
                   3119:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   3120:       for (j=1;j<=nlstate+ndeath;j++)
                   3121:       doldm[ii][j]=(ii==j ? 1./nlstate : 0.0);
                   3122:     }
                   3123:     /* if(sumnew <0.9){ */
                   3124:     /*   printf("Problem internal bmij B: sum on i wi <0.9: j=%d, sum_i wi=%lf,agefin=%d\n",j,sumnew, (int)agefin); */
                   3125:     /* } */
                   3126:   }
                   3127:   k3=0.0;  /* We put the last diagonal to 0 */
                   3128:   for (ii=nlstate+1;ii<=nlstate+ndeath;ii++){
                   3129:       doldm[ii][ii]= k3;
                   3130:   }
                   3131:   /* End doldm, At the end doldm is diag[(w_i)] */
                   3132:   
1.292     brouard  3133:   /* Left product of this diag matrix by pmmij=Px (dnewm=dsavm*doldm): diag[(w_i)*Px */
                   3134:   bbmij=matprod2(dnewm, doldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, pmmij); /* was a Bug Valgrind */
1.268     brouard  3135: 
1.292     brouard  3136:   /* Diag(Sum_i w^i_x p^ij_x, should be the prevalence at age x+stepm */
1.268     brouard  3137:   /* 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  3138:   for (j=1;j<=nlstate+ndeath;j++){
1.268     brouard  3139:     sumnew=0.;
1.222     brouard  3140:     for (ii=1;ii<=nlstate;ii++){
1.266     brouard  3141:       /* sumnew+=dsavm[ii][j]*prevacurrent[(int)agefin][ii][ij]; */
1.268     brouard  3142:       sumnew+=pmmij[ii][j]*doldm[ii][ii]; /* Yes prevalence at beginning of transition */
1.222     brouard  3143:     } /* sumnew is (N11+N21)/N..= N.1/N.. = sum on i of w_i pij */
1.268     brouard  3144:     for (ii=1;ii<=nlstate+ndeath;ii++){
1.222     brouard  3145:        /* if(agefin >= agemaxpar && agefin <= agemaxpar+stepm/YEARM){ */
1.268     brouard  3146:        /*      dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
1.222     brouard  3147:        /* }else if(agefin >= agemaxpar+stepm/YEARM){ */
1.268     brouard  3148:        /*      dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
1.222     brouard  3149:        /* }else */
1.268     brouard  3150:       dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0);
                   3151:     } /*End ii */
                   3152:   } /* 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 */
                   3153: 
1.292     brouard  3154:   ps=matprod2(ps, dnewm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dsavm); /* was a Bug Valgrind */
1.268     brouard  3155:   /* ps is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */
1.222     brouard  3156:   /* end bmij */
1.266     brouard  3157:   return ps; /*pointer is unchanged */
1.218     brouard  3158: }
1.217     brouard  3159: /*************** transition probabilities ***************/ 
                   3160: 
1.218     brouard  3161: double **bpmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
1.217     brouard  3162: {
                   3163:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   3164:      computes the probability to be observed in state j being in state i by appying the
                   3165:      model to the ncovmodel covariates (including constant and age).
                   3166:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   3167:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   3168:      ncth covariate in the global vector x is given by the formula:
                   3169:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   3170:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   3171:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   3172:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   3173:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   3174:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   3175:   */
                   3176:   double s1, lnpijopii;
                   3177:   /*double t34;*/
                   3178:   int i,j, nc, ii, jj;
                   3179: 
1.234     brouard  3180:   for(i=1; i<= nlstate; i++){
                   3181:     for(j=1; j<i;j++){
                   3182:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   3183:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   3184:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   3185:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   3186:       }
                   3187:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   3188:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   3189:     }
                   3190:     for(j=i+1; j<=nlstate+ndeath;j++){
                   3191:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   3192:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   3193:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   3194:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   3195:       }
                   3196:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   3197:     }
                   3198:   }
                   3199:   
                   3200:   for(i=1; i<= nlstate; i++){
                   3201:     s1=0;
                   3202:     for(j=1; j<i; j++){
                   3203:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   3204:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   3205:     }
                   3206:     for(j=i+1; j<=nlstate+ndeath; j++){
                   3207:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   3208:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   3209:     }
                   3210:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   3211:     ps[i][i]=1./(s1+1.);
                   3212:     /* Computing other pijs */
                   3213:     for(j=1; j<i; j++)
                   3214:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3215:     for(j=i+1; j<=nlstate+ndeath; j++)
                   3216:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3217:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   3218:   } /* end i */
                   3219:   
                   3220:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   3221:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   3222:       ps[ii][jj]=0;
                   3223:       ps[ii][ii]=1;
                   3224:     }
                   3225:   }
1.296     brouard  3226:   /* Added for prevbcast */ /* Transposed matrix too */
1.234     brouard  3227:   for(jj=1; jj<= nlstate+ndeath; jj++){
                   3228:     s1=0.;
                   3229:     for(ii=1; ii<= nlstate+ndeath; ii++){
                   3230:       s1+=ps[ii][jj];
                   3231:     }
                   3232:     for(ii=1; ii<= nlstate; ii++){
                   3233:       ps[ii][jj]=ps[ii][jj]/s1;
                   3234:     }
                   3235:   }
                   3236:   /* Transposition */
                   3237:   for(jj=1; jj<= nlstate+ndeath; jj++){
                   3238:     for(ii=jj; ii<= nlstate+ndeath; ii++){
                   3239:       s1=ps[ii][jj];
                   3240:       ps[ii][jj]=ps[jj][ii];
                   3241:       ps[jj][ii]=s1;
                   3242:     }
                   3243:   }
                   3244:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   3245:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   3246:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   3247:   /*   } */
                   3248:   /*   printf("\n "); */
                   3249:   /* } */
                   3250:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   3251:   /*
                   3252:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   3253:     goto end;*/
                   3254:   return ps;
1.217     brouard  3255: }
                   3256: 
                   3257: 
1.126     brouard  3258: /**************** Product of 2 matrices ******************/
                   3259: 
1.145     brouard  3260: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  3261: {
                   3262:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   3263:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   3264:   /* in, b, out are matrice of pointers which should have been initialized 
                   3265:      before: only the contents of out is modified. The function returns
                   3266:      a pointer to pointers identical to out */
1.145     brouard  3267:   int i, j, k;
1.126     brouard  3268:   for(i=nrl; i<= nrh; i++)
1.145     brouard  3269:     for(k=ncolol; k<=ncoloh; k++){
                   3270:       out[i][k]=0.;
                   3271:       for(j=ncl; j<=nch; j++)
                   3272:        out[i][k] +=in[i][j]*b[j][k];
                   3273:     }
1.126     brouard  3274:   return out;
                   3275: }
                   3276: 
                   3277: 
                   3278: /************* Higher Matrix Product ***************/
                   3279: 
1.235     brouard  3280: 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  3281: {
1.218     brouard  3282:   /* Computes the transition matrix starting at age 'age' and combination of covariate values corresponding to ij over 
1.126     brouard  3283:      'nhstepm*hstepm*stepm' months (i.e. until
                   3284:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   3285:      nhstepm*hstepm matrices. 
                   3286:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   3287:      (typically every 2 years instead of every month which is too big 
                   3288:      for the memory).
                   3289:      Model is determined by parameters x and covariates have to be 
                   3290:      included manually here. 
                   3291: 
                   3292:      */
                   3293: 
                   3294:   int i, j, d, h, k;
1.131     brouard  3295:   double **out, cov[NCOVMAX+1];
1.126     brouard  3296:   double **newm;
1.187     brouard  3297:   double agexact;
1.214     brouard  3298:   double agebegin, ageend;
1.126     brouard  3299: 
                   3300:   /* Hstepm could be zero and should return the unit matrix */
                   3301:   for (i=1;i<=nlstate+ndeath;i++)
                   3302:     for (j=1;j<=nlstate+ndeath;j++){
                   3303:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   3304:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   3305:     }
                   3306:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   3307:   for(h=1; h <=nhstepm; h++){
                   3308:     for(d=1; d <=hstepm; d++){
                   3309:       newm=savm;
                   3310:       /* Covariates have to be included here again */
                   3311:       cov[1]=1.;
1.214     brouard  3312:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
1.187     brouard  3313:       cov[2]=agexact;
                   3314:       if(nagesqr==1)
1.227     brouard  3315:        cov[3]= agexact*agexact;
1.235     brouard  3316:       for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   3317:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   3318:        cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
                   3319:        /* 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)); */
                   3320:       }
                   3321:       for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   3322:        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   3323:        cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   3324:        /* 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]); */
                   3325:       }
                   3326:       for (k=1; k<=cptcovage;k++){
                   3327:        if(Dummy[Tvar[Tage[k]]]){
                   3328:          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   3329:        } else{
                   3330:          cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   3331:        }
                   3332:        /* 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]); */
                   3333:       }
                   3334:       for (k=1; k<=cptcovprod;k++){ /*  */
                   3335:        /* 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]); */
                   3336:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   3337:       }
                   3338:       /* for (k=1; k<=cptcovn;k++)  */
                   3339:       /*       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   3340:       /* for (k=1; k<=cptcovage;k++) /\* Should start at cptcovn+1 *\/ */
                   3341:       /*       cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2]; */
                   3342:       /* for (k=1; k<=cptcovprod;k++) /\* Useless because included in cptcovn *\/ */
                   3343:       /*       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)]; */
1.227     brouard  3344:       
                   3345:       
1.126     brouard  3346:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   3347:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.218     brouard  3348:                        /* right multiplication of oldm by the current matrix */
1.126     brouard  3349:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   3350:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
1.217     brouard  3351:       /* if((int)age == 70){ */
                   3352:       /*       printf(" Forward hpxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   3353:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   3354:       /*         printf("%d pmmij ",i); */
                   3355:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3356:       /*           printf("%f ",pmmij[i][j]); */
                   3357:       /*         } */
                   3358:       /*         printf(" oldm "); */
                   3359:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3360:       /*           printf("%f ",oldm[i][j]); */
                   3361:       /*         } */
                   3362:       /*         printf("\n"); */
                   3363:       /*       } */
                   3364:       /* } */
1.126     brouard  3365:       savm=oldm;
                   3366:       oldm=newm;
                   3367:     }
                   3368:     for(i=1; i<=nlstate+ndeath; i++)
                   3369:       for(j=1;j<=nlstate+ndeath;j++) {
1.267     brouard  3370:        po[i][j][h]=newm[i][j];
                   3371:        /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  3372:       }
1.128     brouard  3373:     /*printf("h=%d ",h);*/
1.126     brouard  3374:   } /* end h */
1.267     brouard  3375:   /*     printf("\n H=%d \n",h); */
1.126     brouard  3376:   return po;
                   3377: }
                   3378: 
1.217     brouard  3379: /************* Higher Back Matrix Product ***************/
1.218     brouard  3380: /* 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  3381: 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  3382: {
1.266     brouard  3383:   /* For a combination of dummy covariate ij, computes the transition matrix starting at age 'age' over
1.217     brouard  3384:      'nhstepm*hstepm*stepm' months (i.e. until
1.218     brouard  3385:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
                   3386:      nhstepm*hstepm matrices.
                   3387:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step
                   3388:      (typically every 2 years instead of every month which is too big
1.217     brouard  3389:      for the memory).
1.218     brouard  3390:      Model is determined by parameters x and covariates have to be
1.266     brouard  3391:      included manually here. Then we use a call to bmij(x and cov)
                   3392:      The addresss of po (p3mat allocated to the dimension of nhstepm) should be stored for output
1.222     brouard  3393:   */
1.217     brouard  3394: 
                   3395:   int i, j, d, h, k;
1.266     brouard  3396:   double **out, cov[NCOVMAX+1], **bmij();
                   3397:   double **newm, ***newmm;
1.217     brouard  3398:   double agexact;
                   3399:   double agebegin, ageend;
1.222     brouard  3400:   double **oldm, **savm;
1.217     brouard  3401: 
1.266     brouard  3402:   newmm=po; /* To be saved */
                   3403:   oldm=oldms;savm=savms; /* Global pointers */
1.217     brouard  3404:   /* Hstepm could be zero and should return the unit matrix */
                   3405:   for (i=1;i<=nlstate+ndeath;i++)
                   3406:     for (j=1;j<=nlstate+ndeath;j++){
                   3407:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   3408:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   3409:     }
                   3410:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   3411:   for(h=1; h <=nhstepm; h++){
                   3412:     for(d=1; d <=hstepm; d++){
                   3413:       newm=savm;
                   3414:       /* Covariates have to be included here again */
                   3415:       cov[1]=1.;
1.271     brouard  3416:       agexact=age-( (h-1)*hstepm + (d)  )*stepm/YEARM; /* age just before transition, d or d-1? */
1.217     brouard  3417:       /* agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /\* age just before transition *\/ */
                   3418:       cov[2]=agexact;
                   3419:       if(nagesqr==1)
1.222     brouard  3420:        cov[3]= agexact*agexact;
1.266     brouard  3421:       for (k=1; k<=cptcovn;k++){
                   3422:       /*       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   3423:       /* /\* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; *\/ */
                   3424:        cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
                   3425:         /* 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)); */
                   3426:       }
1.267     brouard  3427:       for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   3428:        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   3429:        cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   3430:        /* 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]); */
                   3431:       }
                   3432:       for (k=1; k<=cptcovage;k++){ /* Should start at cptcovn+1 */
                   3433:        if(Dummy[Tvar[Tage[k]]]){
                   3434:          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   3435:        } else{
                   3436:          cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   3437:        }
                   3438:        /* 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]); */
                   3439:       }
                   3440:       for (k=1; k<=cptcovprod;k++){ /* Useless because included in cptcovn */
1.222     brouard  3441:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.267     brouard  3442:       }                        
1.217     brouard  3443:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   3444:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.267     brouard  3445: 
1.218     brouard  3446:       /* Careful transposed matrix */
1.266     brouard  3447:       /* age is in cov[2], prevacurrent at beginning of transition. */
1.218     brouard  3448:       /* out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\ */
1.222     brouard  3449:       /*                                                1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); */
1.218     brouard  3450:       out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij),\
1.222     brouard  3451:                   1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
1.217     brouard  3452:       /* if((int)age == 70){ */
                   3453:       /*       printf(" Backward hbxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   3454:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   3455:       /*         printf("%d pmmij ",i); */
                   3456:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3457:       /*           printf("%f ",pmmij[i][j]); */
                   3458:       /*         } */
                   3459:       /*         printf(" oldm "); */
                   3460:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3461:       /*           printf("%f ",oldm[i][j]); */
                   3462:       /*         } */
                   3463:       /*         printf("\n"); */
                   3464:       /*       } */
                   3465:       /* } */
                   3466:       savm=oldm;
                   3467:       oldm=newm;
                   3468:     }
                   3469:     for(i=1; i<=nlstate+ndeath; i++)
                   3470:       for(j=1;j<=nlstate+ndeath;j++) {
1.222     brouard  3471:        po[i][j][h]=newm[i][j];
1.268     brouard  3472:        /* if(h==nhstepm) */
                   3473:        /*   printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]); */
1.217     brouard  3474:       }
1.268     brouard  3475:     /* printf("h=%d %.1f ",h, agexact); */
1.217     brouard  3476:   } /* end h */
1.268     brouard  3477:   /* printf("\n H=%d nhs=%d \n",h, nhstepm); */
1.217     brouard  3478:   return po;
                   3479: }
                   3480: 
                   3481: 
1.162     brouard  3482: #ifdef NLOPT
                   3483:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   3484:   double fret;
                   3485:   double *xt;
                   3486:   int j;
                   3487:   myfunc_data *d2 = (myfunc_data *) pd;
                   3488: /* xt = (p1-1); */
                   3489:   xt=vector(1,n); 
                   3490:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   3491: 
                   3492:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   3493:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   3494:   printf("Function = %.12lf ",fret);
                   3495:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   3496:   printf("\n");
                   3497:  free_vector(xt,1,n);
                   3498:   return fret;
                   3499: }
                   3500: #endif
1.126     brouard  3501: 
                   3502: /*************** log-likelihood *************/
                   3503: double func( double *x)
                   3504: {
1.226     brouard  3505:   int i, ii, j, k, mi, d, kk;
                   3506:   int ioffset=0;
                   3507:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
                   3508:   double **out;
                   3509:   double lli; /* Individual log likelihood */
                   3510:   int s1, s2;
1.228     brouard  3511:   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  3512:   double bbh, survp;
                   3513:   long ipmx;
                   3514:   double agexact;
                   3515:   /*extern weight */
                   3516:   /* We are differentiating ll according to initial status */
                   3517:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3518:   /*for(i=1;i<imx;i++) 
                   3519:     printf(" %d\n",s[4][i]);
                   3520:   */
1.162     brouard  3521: 
1.226     brouard  3522:   ++countcallfunc;
1.162     brouard  3523: 
1.226     brouard  3524:   cov[1]=1.;
1.126     brouard  3525: 
1.226     brouard  3526:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3527:   ioffset=0;
1.226     brouard  3528:   if(mle==1){
                   3529:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3530:       /* Computes the values of the ncovmodel covariates of the model
                   3531:         depending if the covariates are fixed or varying (age dependent) and stores them in cov[]
                   3532:         Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                   3533:         to be observed in j being in i according to the model.
                   3534:       */
1.243     brouard  3535:       ioffset=2+nagesqr ;
1.233     brouard  3536:    /* Fixed */
1.234     brouard  3537:       for (k=1; k<=ncovf;k++){ /* Simple and product fixed covariates without age* products */
                   3538:        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)*/
                   3539:       }
1.226     brouard  3540:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
                   3541:         is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
                   3542:         has been calculated etc */
                   3543:       /* For an individual i, wav[i] gives the number of effective waves */
                   3544:       /* We compute the contribution to Likelihood of each effective transition
                   3545:         mw[mi][i] is real wave of the mi th effectve wave */
                   3546:       /* Then statuses are computed at each begin and end of an effective wave s1=s[ mw[mi][i] ][i];
                   3547:         s2=s[mw[mi+1][i]][i];
                   3548:         And the iv th varying covariate is the cotvar[mw[mi+1][i]][iv][i]
                   3549:         But if the variable is not in the model TTvar[iv] is the real variable effective in the model:
                   3550:         meaning that decodemodel should be used cotvar[mw[mi+1][i]][TTvar[iv]][i]
                   3551:       */
                   3552:       for(mi=1; mi<= wav[i]-1; mi++){
1.234     brouard  3553:        for(k=1; k <= ncovv ; k++){ /* Varying  covariates (single and product but no age )*/
1.242     brouard  3554:          /* cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i]; */
                   3555:          cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]-ncovcol-nqv][i];
1.234     brouard  3556:        }
                   3557:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3558:          for (j=1;j<=nlstate+ndeath;j++){
                   3559:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3560:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3561:          }
                   3562:        for(d=0; d<dh[mi][i]; d++){
                   3563:          newm=savm;
                   3564:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3565:          cov[2]=agexact;
                   3566:          if(nagesqr==1)
                   3567:            cov[3]= agexact*agexact;  /* Should be changed here */
                   3568:          for (kk=1; kk<=cptcovage;kk++) {
1.242     brouard  3569:          if(!FixedV[Tvar[Tage[kk]]])
1.234     brouard  3570:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
1.242     brouard  3571:          else
                   3572:            cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]-ncovcol-nqv][i]*agexact;
1.234     brouard  3573:          }
                   3574:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3575:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3576:          savm=oldm;
                   3577:          oldm=newm;
                   3578:        } /* end mult */
                   3579:        
                   3580:        /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   3581:        /* But now since version 0.9 we anticipate for bias at large stepm.
                   3582:         * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   3583:         * (in months) between two waves is not a multiple of stepm, we rounded to 
                   3584:         * the nearest (and in case of equal distance, to the lowest) interval but now
                   3585:         * we keep into memory the bias bh[mi][i] and also the previous matrix product
                   3586:         * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                   3587:         * probability in order to take into account the bias as a fraction of the way
1.231     brouard  3588:                                 * from savm to out if bh is negative or even beyond if bh is positive. bh varies
                   3589:                                 * -stepm/2 to stepm/2 .
                   3590:                                 * For stepm=1 the results are the same as for previous versions of Imach.
                   3591:                                 * For stepm > 1 the results are less biased than in previous versions. 
                   3592:                                 */
1.234     brouard  3593:        s1=s[mw[mi][i]][i];
                   3594:        s2=s[mw[mi+1][i]][i];
                   3595:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3596:        /* bias bh is positive if real duration
                   3597:         * is higher than the multiple of stepm and negative otherwise.
                   3598:         */
                   3599:        /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
                   3600:        if( s2 > nlstate){ 
                   3601:          /* i.e. if s2 is a death state and if the date of death is known 
                   3602:             then the contribution to the likelihood is the probability to 
                   3603:             die between last step unit time and current  step unit time, 
                   3604:             which is also equal to probability to die before dh 
                   3605:             minus probability to die before dh-stepm . 
                   3606:             In version up to 0.92 likelihood was computed
                   3607:             as if date of death was unknown. Death was treated as any other
                   3608:             health state: the date of the interview describes the actual state
                   3609:             and not the date of a change in health state. The former idea was
                   3610:             to consider that at each interview the state was recorded
                   3611:             (healthy, disable or death) and IMaCh was corrected; but when we
                   3612:             introduced the exact date of death then we should have modified
                   3613:             the contribution of an exact death to the likelihood. This new
                   3614:             contribution is smaller and very dependent of the step unit
                   3615:             stepm. It is no more the probability to die between last interview
                   3616:             and month of death but the probability to survive from last
                   3617:             interview up to one month before death multiplied by the
                   3618:             probability to die within a month. Thanks to Chris
                   3619:             Jackson for correcting this bug.  Former versions increased
                   3620:             mortality artificially. The bad side is that we add another loop
                   3621:             which slows down the processing. The difference can be up to 10%
                   3622:             lower mortality.
                   3623:          */
                   3624:          /* If, at the beginning of the maximization mostly, the
                   3625:             cumulative probability or probability to be dead is
                   3626:             constant (ie = 1) over time d, the difference is equal to
                   3627:             0.  out[s1][3] = savm[s1][3]: probability, being at state
                   3628:             s1 at precedent wave, to be dead a month before current
                   3629:             wave is equal to probability, being at state s1 at
                   3630:             precedent wave, to be dead at mont of the current
                   3631:             wave. Then the observed probability (that this person died)
                   3632:             is null according to current estimated parameter. In fact,
                   3633:             it should be very low but not zero otherwise the log go to
                   3634:             infinity.
                   3635:          */
1.183     brouard  3636: /* #ifdef INFINITYORIGINAL */
                   3637: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3638: /* #else */
                   3639: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   3640: /*         lli=log(mytinydouble); */
                   3641: /*       else */
                   3642: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3643: /* #endif */
1.226     brouard  3644:          lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3645:          
1.226     brouard  3646:        } else if  ( s2==-1 ) { /* alive */
                   3647:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3648:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3649:          /*survp += out[s1][j]; */
                   3650:          lli= log(survp);
                   3651:        }
                   3652:        else if  (s2==-4) { 
                   3653:          for (j=3,survp=0. ; j<=nlstate; j++)  
                   3654:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3655:          lli= log(survp); 
                   3656:        } 
                   3657:        else if  (s2==-5) { 
                   3658:          for (j=1,survp=0. ; j<=2; j++)  
                   3659:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3660:          lli= log(survp); 
                   3661:        } 
                   3662:        else{
                   3663:          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3664:          /*  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 */
                   3665:        } 
                   3666:        /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                   3667:        /*if(lli ==000.0)*/
                   3668:        /*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); */
                   3669:        ipmx +=1;
                   3670:        sw += weight[i];
                   3671:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3672:        /* if (lli < log(mytinydouble)){ */
                   3673:        /*   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); */
                   3674:        /*   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]); */
                   3675:        /* } */
                   3676:       } /* end of wave */
                   3677:     } /* end of individual */
                   3678:   }  else if(mle==2){
                   3679:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3680:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3681:       for(mi=1; mi<= wav[i]-1; mi++){
                   3682:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3683:          for (j=1;j<=nlstate+ndeath;j++){
                   3684:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3685:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3686:          }
                   3687:        for(d=0; d<=dh[mi][i]; d++){
                   3688:          newm=savm;
                   3689:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3690:          cov[2]=agexact;
                   3691:          if(nagesqr==1)
                   3692:            cov[3]= agexact*agexact;
                   3693:          for (kk=1; kk<=cptcovage;kk++) {
                   3694:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3695:          }
                   3696:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3697:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3698:          savm=oldm;
                   3699:          oldm=newm;
                   3700:        } /* end mult */
                   3701:       
                   3702:        s1=s[mw[mi][i]][i];
                   3703:        s2=s[mw[mi+1][i]][i];
                   3704:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3705:        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 */
                   3706:        ipmx +=1;
                   3707:        sw += weight[i];
                   3708:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3709:       } /* end of wave */
                   3710:     } /* end of individual */
                   3711:   }  else if(mle==3){  /* exponential inter-extrapolation */
                   3712:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3713:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3714:       for(mi=1; mi<= wav[i]-1; mi++){
                   3715:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3716:          for (j=1;j<=nlstate+ndeath;j++){
                   3717:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3718:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3719:          }
                   3720:        for(d=0; d<dh[mi][i]; d++){
                   3721:          newm=savm;
                   3722:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3723:          cov[2]=agexact;
                   3724:          if(nagesqr==1)
                   3725:            cov[3]= agexact*agexact;
                   3726:          for (kk=1; kk<=cptcovage;kk++) {
                   3727:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3728:          }
                   3729:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3730:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3731:          savm=oldm;
                   3732:          oldm=newm;
                   3733:        } /* end mult */
                   3734:       
                   3735:        s1=s[mw[mi][i]][i];
                   3736:        s2=s[mw[mi+1][i]][i];
                   3737:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3738:        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 */
                   3739:        ipmx +=1;
                   3740:        sw += weight[i];
                   3741:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3742:       } /* end of wave */
                   3743:     } /* end of individual */
                   3744:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
                   3745:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3746:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3747:       for(mi=1; mi<= wav[i]-1; mi++){
                   3748:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3749:          for (j=1;j<=nlstate+ndeath;j++){
                   3750:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3751:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3752:          }
                   3753:        for(d=0; d<dh[mi][i]; d++){
                   3754:          newm=savm;
                   3755:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3756:          cov[2]=agexact;
                   3757:          if(nagesqr==1)
                   3758:            cov[3]= agexact*agexact;
                   3759:          for (kk=1; kk<=cptcovage;kk++) {
                   3760:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3761:          }
1.126     brouard  3762:        
1.226     brouard  3763:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3764:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3765:          savm=oldm;
                   3766:          oldm=newm;
                   3767:        } /* end mult */
                   3768:       
                   3769:        s1=s[mw[mi][i]][i];
                   3770:        s2=s[mw[mi+1][i]][i];
                   3771:        if( s2 > nlstate){ 
                   3772:          lli=log(out[s1][s2] - savm[s1][s2]);
                   3773:        } else if  ( s2==-1 ) { /* alive */
                   3774:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3775:            survp += out[s1][j];
                   3776:          lli= log(survp);
                   3777:        }else{
                   3778:          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3779:        }
                   3780:        ipmx +=1;
                   3781:        sw += weight[i];
                   3782:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.126     brouard  3783: /*     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  3784:       } /* end of wave */
                   3785:     } /* end of individual */
                   3786:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
                   3787:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3788:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3789:       for(mi=1; mi<= wav[i]-1; mi++){
                   3790:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3791:          for (j=1;j<=nlstate+ndeath;j++){
                   3792:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3793:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3794:          }
                   3795:        for(d=0; d<dh[mi][i]; d++){
                   3796:          newm=savm;
                   3797:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3798:          cov[2]=agexact;
                   3799:          if(nagesqr==1)
                   3800:            cov[3]= agexact*agexact;
                   3801:          for (kk=1; kk<=cptcovage;kk++) {
                   3802:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3803:          }
1.126     brouard  3804:        
1.226     brouard  3805:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3806:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3807:          savm=oldm;
                   3808:          oldm=newm;
                   3809:        } /* end mult */
                   3810:       
                   3811:        s1=s[mw[mi][i]][i];
                   3812:        s2=s[mw[mi+1][i]][i];
                   3813:        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3814:        ipmx +=1;
                   3815:        sw += weight[i];
                   3816:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3817:        /*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]);*/
                   3818:       } /* end of wave */
                   3819:     } /* end of individual */
                   3820:   } /* End of if */
                   3821:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3822:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3823:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3824:   return -l;
1.126     brouard  3825: }
                   3826: 
                   3827: /*************** log-likelihood *************/
                   3828: double funcone( double *x)
                   3829: {
1.228     brouard  3830:   /* Same as func but slower because of a lot of printf and if */
1.126     brouard  3831:   int i, ii, j, k, mi, d, kk;
1.228     brouard  3832:   int ioffset=0;
1.131     brouard  3833:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  3834:   double **out;
                   3835:   double lli; /* Individual log likelihood */
                   3836:   double llt;
                   3837:   int s1, s2;
1.228     brouard  3838:   int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate, quantitative time varying covariate */
                   3839: 
1.126     brouard  3840:   double bbh, survp;
1.187     brouard  3841:   double agexact;
1.214     brouard  3842:   double agebegin, ageend;
1.126     brouard  3843:   /*extern weight */
                   3844:   /* We are differentiating ll according to initial status */
                   3845:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3846:   /*for(i=1;i<imx;i++) 
                   3847:     printf(" %d\n",s[4][i]);
                   3848:   */
                   3849:   cov[1]=1.;
                   3850: 
                   3851:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3852:   ioffset=0;
                   3853:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.243     brouard  3854:     /* ioffset=2+nagesqr+cptcovage; */
                   3855:     ioffset=2+nagesqr;
1.232     brouard  3856:     /* Fixed */
1.224     brouard  3857:     /* for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i]; */
1.232     brouard  3858:     /* for (k=1; k<=ncoveff;k++){ /\* Simple and product fixed Dummy covariates without age* products *\/ */
1.311     brouard  3859:     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  3860:       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)*/
                   3861: /*    cov[ioffset+TvarFind[1]]=covar[Tvar[TvarFind[1]]][i];  */
                   3862: /*    cov[2+6]=covar[Tvar[6]][i];  */
                   3863: /*    cov[2+6]=covar[2][i]; V2  */
                   3864: /*    cov[TvarFind[2]]=covar[Tvar[TvarFind[2]]][i];  */
                   3865: /*    cov[2+7]=covar[Tvar[7]][i];  */
                   3866: /*    cov[2+7]=covar[7][i]; V7=V1*V2  */
                   3867: /*    cov[TvarFind[3]]=covar[Tvar[TvarFind[3]]][i];  */
                   3868: /*    cov[2+9]=covar[Tvar[9]][i];  */
                   3869: /*    cov[2+9]=covar[1][i]; V1  */
1.225     brouard  3870:     }
1.232     brouard  3871:     /* for (k=1; k<=nqfveff;k++){ /\* Simple and product fixed Quantitative covariates without age* products *\/ */
                   3872:     /*   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?)*\/ */
                   3873:     /* } */
1.231     brouard  3874:     /* for(iqv=1; iqv <= nqfveff; iqv++){ /\* Quantitative fixed covariates *\/ */
                   3875:     /*   cov[++ioffset]=coqvar[Tvar[iqv]][i]; /\* Only V2 k=6 and V1*V2 7 *\/ */
                   3876:     /* } */
1.225     brouard  3877:     
1.233     brouard  3878: 
                   3879:     for(mi=1; mi<= wav[i]-1; mi++){  /* Varying with waves */
1.232     brouard  3880:     /* Wave varying (but not age varying) */
                   3881:       for(k=1; k <= ncovv ; k++){ /* Varying  covariates (single and product but no age )*/
1.242     brouard  3882:        /* cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i]; */
                   3883:        cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]-ncovcol-nqv][i];
                   3884:       }
1.232     brouard  3885:       /* for(itv=1; itv <= ntveff; itv++){ /\* Varying dummy covariates (single??)*\/ */
1.242     brouard  3886:       /* iv= Tvar[Tmodelind[ioffset-2-nagesqr-cptcovage+itv]]-ncovcol-nqv; /\* Counting the # varying covariate from 1 to ntveff *\/ */
                   3887:       /* cov[ioffset+iv]=cotvar[mw[mi][i]][iv][i]; */
                   3888:       /* k=ioffset-2-nagesqr-cptcovage+itv; /\* position in simple model *\/ */
                   3889:       /* cov[ioffset+itv]=cotvar[mw[mi][i]][TmodelInvind[itv]][i]; */
                   3890:       /* 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  3891:       /* for(iqtv=1; iqtv <= nqtveff; iqtv++){ /\* Varying quantitatives covariates *\/ */
1.242     brouard  3892:       /*       iv=TmodelInvQind[iqtv]; /\* Counting the # varying covariate from 1 to ntveff *\/ */
                   3893:       /*       /\* 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]); *\/ */
                   3894:       /*       cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i]; */
1.232     brouard  3895:       /* } */
1.126     brouard  3896:       for (ii=1;ii<=nlstate+ndeath;ii++)
1.242     brouard  3897:        for (j=1;j<=nlstate+ndeath;j++){
                   3898:          oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3899:          savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3900:        }
1.214     brouard  3901:       
                   3902:       agebegin=agev[mw[mi][i]][i]; /* Age at beginning of effective wave */
                   3903:       ageend=agev[mw[mi][i]][i] + (dh[mi][i])*stepm/YEARM; /* Age at end of effective wave and at the end of transition */
                   3904:       for(d=0; d<dh[mi][i]; d++){  /* Delay between two effective waves */
1.247     brouard  3905:       /* for(d=0; d<=0; d++){  /\* Delay between two effective waves Only one matrix to speed up*\/ */
1.242     brouard  3906:        /*dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   3907:          and mw[mi+1][i]. dh depends on stepm.*/
                   3908:        newm=savm;
1.247     brouard  3909:        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;  /* Here d is needed */
1.242     brouard  3910:        cov[2]=agexact;
                   3911:        if(nagesqr==1)
                   3912:          cov[3]= agexact*agexact;
                   3913:        for (kk=1; kk<=cptcovage;kk++) {
                   3914:          if(!FixedV[Tvar[Tage[kk]]])
                   3915:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3916:          else
                   3917:            cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]-ncovcol-nqv][i]*agexact;
                   3918:        }
                   3919:        /* printf("i=%d,mi=%d,d=%d,mw[mi][i]=%d\n",i, mi,d,mw[mi][i]); */
                   3920:        /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   3921:        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3922:                     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3923:        /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
                   3924:        /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
                   3925:        savm=oldm;
                   3926:        oldm=newm;
1.126     brouard  3927:       } /* end mult */
                   3928:       
                   3929:       s1=s[mw[mi][i]][i];
                   3930:       s2=s[mw[mi+1][i]][i];
1.217     brouard  3931:       /* if(s2==-1){ */
1.268     brouard  3932:       /*       printf(" ERROR s1=%d, s2=%d i=%d \n", s1, s2, i); */
1.217     brouard  3933:       /*       /\* exit(1); *\/ */
                   3934:       /* } */
1.126     brouard  3935:       bbh=(double)bh[mi][i]/(double)stepm; 
                   3936:       /* bias is positive if real duration
                   3937:        * is higher than the multiple of stepm and negative otherwise.
                   3938:        */
                   3939:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
1.242     brouard  3940:        lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3941:       } else if  ( s2==-1 ) { /* alive */
1.242     brouard  3942:        for (j=1,survp=0. ; j<=nlstate; j++) 
                   3943:          survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3944:        lli= log(survp);
1.126     brouard  3945:       }else if (mle==1){
1.242     brouard  3946:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
1.126     brouard  3947:       } else if(mle==2){
1.242     brouard  3948:        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  3949:       } else if(mle==3){  /* exponential inter-extrapolation */
1.242     brouard  3950:        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  3951:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
1.242     brouard  3952:        lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  3953:       } else{  /* mle=0 back to 1 */
1.242     brouard  3954:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3955:        /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  3956:       } /* End of if */
                   3957:       ipmx +=1;
                   3958:       sw += weight[i];
                   3959:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  3960:       /*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  3961:       if(globpr){
1.246     brouard  3962:        fprintf(ficresilk,"%09ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %15.6f %8.4f %8.3f\
1.126     brouard  3963:  %11.6f %11.6f %11.6f ", \
1.242     brouard  3964:                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  3965:                2*weight[i]*lli,(s2==-1? -1: out[s1][s2]),(s2==-1? -1: savm[s1][s2]));
1.242     brouard  3966:        for(k=1,llt=0.,l=0.; k<=nlstate; k++){
                   3967:          llt +=ll[k]*gipmx/gsw;
                   3968:          fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                   3969:        }
                   3970:        fprintf(ficresilk," %10.6f\n", -llt);
1.126     brouard  3971:       }
1.232     brouard  3972:        } /* end of wave */
                   3973: } /* end of individual */
                   3974: for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3975: /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3976: l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3977: if(globpr==0){ /* First time we count the contributions and weights */
                   3978:        gipmx=ipmx;
                   3979:        gsw=sw;
                   3980: }
                   3981: return -l;
1.126     brouard  3982: }
                   3983: 
                   3984: 
                   3985: /*************** function likelione ***********/
1.292     brouard  3986: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*func)(double []))
1.126     brouard  3987: {
                   3988:   /* This routine should help understanding what is done with 
                   3989:      the selection of individuals/waves and
                   3990:      to check the exact contribution to the likelihood.
                   3991:      Plotting could be done.
                   3992:    */
                   3993:   int k;
                   3994: 
                   3995:   if(*globpri !=0){ /* Just counts and sums, no printings */
1.201     brouard  3996:     strcpy(fileresilk,"ILK_"); 
1.202     brouard  3997:     strcat(fileresilk,fileresu);
1.126     brouard  3998:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   3999:       printf("Problem with resultfile: %s\n", fileresilk);
                   4000:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   4001:     }
1.214     brouard  4002:     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");
                   4003:     fprintf(ficresilk, "#num_i ageb agend i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav ");
1.126     brouard  4004:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   4005:     for(k=1; k<=nlstate; k++) 
                   4006:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   4007:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   4008:   }
                   4009: 
1.292     brouard  4010:   *fretone=(*func)(p);
1.126     brouard  4011:   if(*globpri !=0){
                   4012:     fclose(ficresilk);
1.205     brouard  4013:     if (mle ==0)
                   4014:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
                   4015:     else if(mle >=1)
                   4016:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
                   4017:     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  4018:     fprintf(fichtm,"\n<br>Equation of the model: <b>model=1+age+%s</b><br>\n",model); 
1.208     brouard  4019:       
                   4020:     for (k=1; k<= nlstate ; k++) {
1.211     brouard  4021:       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  4022: <img src=\"%s-p%dj.png\">",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
                   4023:     }
1.207     brouard  4024:     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  4025: <img src=\"%s-ori.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  4026:     fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
1.204     brouard  4027: <img src=\"%s-dest.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  4028:     fflush(fichtm);
1.205     brouard  4029:   }
1.126     brouard  4030:   return;
                   4031: }
                   4032: 
                   4033: 
                   4034: /*********** Maximum Likelihood Estimation ***************/
                   4035: 
                   4036: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   4037: {
1.165     brouard  4038:   int i,j, iter=0;
1.126     brouard  4039:   double **xi;
                   4040:   double fret;
                   4041:   double fretone; /* Only one call to likelihood */
                   4042:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  4043: 
                   4044: #ifdef NLOPT
                   4045:   int creturn;
                   4046:   nlopt_opt opt;
                   4047:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   4048:   double *lb;
                   4049:   double minf; /* the minimum objective value, upon return */
                   4050:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   4051:   myfunc_data dinst, *d = &dinst;
                   4052: #endif
                   4053: 
                   4054: 
1.126     brouard  4055:   xi=matrix(1,npar,1,npar);
                   4056:   for (i=1;i<=npar;i++)
                   4057:     for (j=1;j<=npar;j++)
                   4058:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   4059:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.201     brouard  4060:   strcpy(filerespow,"POW_"); 
1.126     brouard  4061:   strcat(filerespow,fileres);
                   4062:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   4063:     printf("Problem with resultfile: %s\n", filerespow);
                   4064:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   4065:   }
                   4066:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   4067:   for (i=1;i<=nlstate;i++)
                   4068:     for(j=1;j<=nlstate+ndeath;j++)
                   4069:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   4070:   fprintf(ficrespow,"\n");
1.162     brouard  4071: #ifdef POWELL
1.126     brouard  4072:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.162     brouard  4073: #endif
1.126     brouard  4074: 
1.162     brouard  4075: #ifdef NLOPT
                   4076: #ifdef NEWUOA
                   4077:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   4078: #else
                   4079:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   4080: #endif
                   4081:   lb=vector(0,npar-1);
                   4082:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   4083:   nlopt_set_lower_bounds(opt, lb);
                   4084:   nlopt_set_initial_step1(opt, 0.1);
                   4085:   
                   4086:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   4087:   d->function = func;
                   4088:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   4089:   nlopt_set_min_objective(opt, myfunc, d);
                   4090:   nlopt_set_xtol_rel(opt, ftol);
                   4091:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   4092:     printf("nlopt failed! %d\n",creturn); 
                   4093:   }
                   4094:   else {
                   4095:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   4096:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   4097:     iter=1; /* not equal */
                   4098:   }
                   4099:   nlopt_destroy(opt);
                   4100: #endif
1.126     brouard  4101:   free_matrix(xi,1,npar,1,npar);
                   4102:   fclose(ficrespow);
1.203     brouard  4103:   printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   4104:   fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.180     brouard  4105:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  4106: 
                   4107: }
                   4108: 
                   4109: /**** Computes Hessian and covariance matrix ***/
1.203     brouard  4110: void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
1.126     brouard  4111: {
                   4112:   double  **a,**y,*x,pd;
1.203     brouard  4113:   /* double **hess; */
1.164     brouard  4114:   int i, j;
1.126     brouard  4115:   int *indx;
                   4116: 
                   4117:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
1.203     brouard  4118:   double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
1.126     brouard  4119:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   4120:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   4121:   double gompertz(double p[]);
1.203     brouard  4122:   /* hess=matrix(1,npar,1,npar); */
1.126     brouard  4123: 
                   4124:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   4125:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   4126:   for (i=1;i<=npar;i++){
1.203     brouard  4127:     printf("%d-",i);fflush(stdout);
                   4128:     fprintf(ficlog,"%d-",i);fflush(ficlog);
1.126     brouard  4129:    
                   4130:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   4131:     
                   4132:     /*  printf(" %f ",p[i]);
                   4133:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   4134:   }
                   4135:   
                   4136:   for (i=1;i<=npar;i++) {
                   4137:     for (j=1;j<=npar;j++)  {
                   4138:       if (j>i) { 
1.203     brouard  4139:        printf(".%d-%d",i,j);fflush(stdout);
                   4140:        fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
                   4141:        hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
1.126     brouard  4142:        
                   4143:        hess[j][i]=hess[i][j];    
                   4144:        /*printf(" %lf ",hess[i][j]);*/
                   4145:       }
                   4146:     }
                   4147:   }
                   4148:   printf("\n");
                   4149:   fprintf(ficlog,"\n");
                   4150: 
                   4151:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   4152:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   4153:   
                   4154:   a=matrix(1,npar,1,npar);
                   4155:   y=matrix(1,npar,1,npar);
                   4156:   x=vector(1,npar);
                   4157:   indx=ivector(1,npar);
                   4158:   for (i=1;i<=npar;i++)
                   4159:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   4160:   ludcmp(a,npar,indx,&pd);
                   4161: 
                   4162:   for (j=1;j<=npar;j++) {
                   4163:     for (i=1;i<=npar;i++) x[i]=0;
                   4164:     x[j]=1;
                   4165:     lubksb(a,npar,indx,x);
                   4166:     for (i=1;i<=npar;i++){ 
                   4167:       matcov[i][j]=x[i];
                   4168:     }
                   4169:   }
                   4170: 
                   4171:   printf("\n#Hessian matrix#\n");
                   4172:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   4173:   for (i=1;i<=npar;i++) { 
                   4174:     for (j=1;j<=npar;j++) { 
1.203     brouard  4175:       printf("%.6e ",hess[i][j]);
                   4176:       fprintf(ficlog,"%.6e ",hess[i][j]);
1.126     brouard  4177:     }
                   4178:     printf("\n");
                   4179:     fprintf(ficlog,"\n");
                   4180:   }
                   4181: 
1.203     brouard  4182:   /* printf("\n#Covariance matrix#\n"); */
                   4183:   /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
                   4184:   /* for (i=1;i<=npar;i++) {  */
                   4185:   /*   for (j=1;j<=npar;j++) {  */
                   4186:   /*     printf("%.6e ",matcov[i][j]); */
                   4187:   /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
                   4188:   /*   } */
                   4189:   /*   printf("\n"); */
                   4190:   /*   fprintf(ficlog,"\n"); */
                   4191:   /* } */
                   4192: 
1.126     brouard  4193:   /* Recompute Inverse */
1.203     brouard  4194:   /* for (i=1;i<=npar;i++) */
                   4195:   /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
                   4196:   /* ludcmp(a,npar,indx,&pd); */
                   4197: 
                   4198:   /*  printf("\n#Hessian matrix recomputed#\n"); */
                   4199: 
                   4200:   /* for (j=1;j<=npar;j++) { */
                   4201:   /*   for (i=1;i<=npar;i++) x[i]=0; */
                   4202:   /*   x[j]=1; */
                   4203:   /*   lubksb(a,npar,indx,x); */
                   4204:   /*   for (i=1;i<=npar;i++){  */
                   4205:   /*     y[i][j]=x[i]; */
                   4206:   /*     printf("%.3e ",y[i][j]); */
                   4207:   /*     fprintf(ficlog,"%.3e ",y[i][j]); */
                   4208:   /*   } */
                   4209:   /*   printf("\n"); */
                   4210:   /*   fprintf(ficlog,"\n"); */
                   4211:   /* } */
                   4212: 
                   4213:   /* Verifying the inverse matrix */
                   4214: #ifdef DEBUGHESS
                   4215:   y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
1.126     brouard  4216: 
1.203     brouard  4217:    printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
                   4218:    fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
1.126     brouard  4219: 
                   4220:   for (j=1;j<=npar;j++) {
                   4221:     for (i=1;i<=npar;i++){ 
1.203     brouard  4222:       printf("%.2f ",y[i][j]);
                   4223:       fprintf(ficlog,"%.2f ",y[i][j]);
1.126     brouard  4224:     }
                   4225:     printf("\n");
                   4226:     fprintf(ficlog,"\n");
                   4227:   }
1.203     brouard  4228: #endif
1.126     brouard  4229: 
                   4230:   free_matrix(a,1,npar,1,npar);
                   4231:   free_matrix(y,1,npar,1,npar);
                   4232:   free_vector(x,1,npar);
                   4233:   free_ivector(indx,1,npar);
1.203     brouard  4234:   /* free_matrix(hess,1,npar,1,npar); */
1.126     brouard  4235: 
                   4236: 
                   4237: }
                   4238: 
                   4239: /*************** hessian matrix ****************/
                   4240: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
1.203     brouard  4241: { /* Around values of x, computes the function func and returns the scales delti and hessian */
1.126     brouard  4242:   int i;
                   4243:   int l=1, lmax=20;
1.203     brouard  4244:   double k1,k2, res, fx;
1.132     brouard  4245:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  4246:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   4247:   int k=0,kmax=10;
                   4248:   double l1;
                   4249: 
                   4250:   fx=func(x);
                   4251:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  4252:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  4253:     l1=pow(10,l);
                   4254:     delts=delt;
                   4255:     for(k=1 ; k <kmax; k=k+1){
                   4256:       delt = delta*(l1*k);
                   4257:       p2[theta]=x[theta] +delt;
1.145     brouard  4258:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  4259:       p2[theta]=x[theta]-delt;
                   4260:       k2=func(p2)-fx;
                   4261:       /*res= (k1-2.0*fx+k2)/delt/delt; */
1.203     brouard  4262:       res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
1.126     brouard  4263:       
1.203     brouard  4264: #ifdef DEBUGHESSII
1.126     brouard  4265:       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);
                   4266:       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);
                   4267: #endif
                   4268:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   4269:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   4270:        k=kmax;
                   4271:       }
                   4272:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  4273:        k=kmax; l=lmax*10;
1.126     brouard  4274:       }
                   4275:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   4276:        delts=delt;
                   4277:       }
1.203     brouard  4278:     } /* End loop k */
1.126     brouard  4279:   }
                   4280:   delti[theta]=delts;
                   4281:   return res; 
                   4282:   
                   4283: }
                   4284: 
1.203     brouard  4285: double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
1.126     brouard  4286: {
                   4287:   int i;
1.164     brouard  4288:   int l=1, lmax=20;
1.126     brouard  4289:   double k1,k2,k3,k4,res,fx;
1.132     brouard  4290:   double p2[MAXPARM+1];
1.203     brouard  4291:   int k, kmax=1;
                   4292:   double v1, v2, cv12, lc1, lc2;
1.208     brouard  4293: 
                   4294:   int firstime=0;
1.203     brouard  4295:   
1.126     brouard  4296:   fx=func(x);
1.203     brouard  4297:   for (k=1; k<=kmax; k=k+10) {
1.126     brouard  4298:     for (i=1;i<=npar;i++) p2[i]=x[i];
1.203     brouard  4299:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   4300:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  4301:     k1=func(p2)-fx;
                   4302:   
1.203     brouard  4303:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   4304:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  4305:     k2=func(p2)-fx;
                   4306:   
1.203     brouard  4307:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   4308:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  4309:     k3=func(p2)-fx;
                   4310:   
1.203     brouard  4311:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   4312:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  4313:     k4=func(p2)-fx;
1.203     brouard  4314:     res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */
                   4315:     if(k1*k2*k3*k4 <0.){
1.208     brouard  4316:       firstime=1;
1.203     brouard  4317:       kmax=kmax+10;
1.208     brouard  4318:     }
                   4319:     if(kmax >=10 || firstime ==1){
1.246     brouard  4320:       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);
                   4321:       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  4322:       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);
                   4323:       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);
                   4324:     }
                   4325: #ifdef DEBUGHESSIJ
                   4326:     v1=hess[thetai][thetai];
                   4327:     v2=hess[thetaj][thetaj];
                   4328:     cv12=res;
                   4329:     /* Computing eigen value of Hessian matrix */
                   4330:     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4331:     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4332:     if ((lc2 <0) || (lc1 <0) ){
                   4333:       printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   4334:       fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   4335:       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);
                   4336:       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);
                   4337:     }
1.126     brouard  4338: #endif
                   4339:   }
                   4340:   return res;
                   4341: }
                   4342: 
1.203     brouard  4343:     /* Not done yet: Was supposed to fix if not exactly at the maximum */
                   4344: /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
                   4345: /* { */
                   4346: /*   int i; */
                   4347: /*   int l=1, lmax=20; */
                   4348: /*   double k1,k2,k3,k4,res,fx; */
                   4349: /*   double p2[MAXPARM+1]; */
                   4350: /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
                   4351: /*   int k=0,kmax=10; */
                   4352: /*   double l1; */
                   4353:   
                   4354: /*   fx=func(x); */
                   4355: /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
                   4356: /*     l1=pow(10,l); */
                   4357: /*     delts=delt; */
                   4358: /*     for(k=1 ; k <kmax; k=k+1){ */
                   4359: /*       delt = delti*(l1*k); */
                   4360: /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
                   4361: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   4362: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   4363: /*       k1=func(p2)-fx; */
                   4364:       
                   4365: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   4366: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   4367: /*       k2=func(p2)-fx; */
                   4368:       
                   4369: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   4370: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   4371: /*       k3=func(p2)-fx; */
                   4372:       
                   4373: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   4374: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   4375: /*       k4=func(p2)-fx; */
                   4376: /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
                   4377: /* #ifdef DEBUGHESSIJ */
                   4378: /*       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); */
                   4379: /*       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); */
                   4380: /* #endif */
                   4381: /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
                   4382: /*     k=kmax; */
                   4383: /*       } */
                   4384: /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
                   4385: /*     k=kmax; l=lmax*10; */
                   4386: /*       } */
                   4387: /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
                   4388: /*     delts=delt; */
                   4389: /*       } */
                   4390: /*     } /\* End loop k *\/ */
                   4391: /*   } */
                   4392: /*   delti[theta]=delts; */
                   4393: /*   return res;  */
                   4394: /* } */
                   4395: 
                   4396: 
1.126     brouard  4397: /************** Inverse of matrix **************/
                   4398: void ludcmp(double **a, int n, int *indx, double *d) 
                   4399: { 
                   4400:   int i,imax,j,k; 
                   4401:   double big,dum,sum,temp; 
                   4402:   double *vv; 
                   4403:  
                   4404:   vv=vector(1,n); 
                   4405:   *d=1.0; 
                   4406:   for (i=1;i<=n;i++) { 
                   4407:     big=0.0; 
                   4408:     for (j=1;j<=n;j++) 
                   4409:       if ((temp=fabs(a[i][j])) > big) big=temp; 
1.256     brouard  4410:     if (big == 0.0){
                   4411:       printf(" Singular Hessian matrix at row %d:\n",i);
                   4412:       for (j=1;j<=n;j++) {
                   4413:        printf(" a[%d][%d]=%f,",i,j,a[i][j]);
                   4414:        fprintf(ficlog," a[%d][%d]=%f,",i,j,a[i][j]);
                   4415:       }
                   4416:       fflush(ficlog);
                   4417:       fclose(ficlog);
                   4418:       nrerror("Singular matrix in routine ludcmp"); 
                   4419:     }
1.126     brouard  4420:     vv[i]=1.0/big; 
                   4421:   } 
                   4422:   for (j=1;j<=n;j++) { 
                   4423:     for (i=1;i<j;i++) { 
                   4424:       sum=a[i][j]; 
                   4425:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   4426:       a[i][j]=sum; 
                   4427:     } 
                   4428:     big=0.0; 
                   4429:     for (i=j;i<=n;i++) { 
                   4430:       sum=a[i][j]; 
                   4431:       for (k=1;k<j;k++) 
                   4432:        sum -= a[i][k]*a[k][j]; 
                   4433:       a[i][j]=sum; 
                   4434:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   4435:        big=dum; 
                   4436:        imax=i; 
                   4437:       } 
                   4438:     } 
                   4439:     if (j != imax) { 
                   4440:       for (k=1;k<=n;k++) { 
                   4441:        dum=a[imax][k]; 
                   4442:        a[imax][k]=a[j][k]; 
                   4443:        a[j][k]=dum; 
                   4444:       } 
                   4445:       *d = -(*d); 
                   4446:       vv[imax]=vv[j]; 
                   4447:     } 
                   4448:     indx[j]=imax; 
                   4449:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   4450:     if (j != n) { 
                   4451:       dum=1.0/(a[j][j]); 
                   4452:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   4453:     } 
                   4454:   } 
                   4455:   free_vector(vv,1,n);  /* Doesn't work */
                   4456: ;
                   4457: } 
                   4458: 
                   4459: void lubksb(double **a, int n, int *indx, double b[]) 
                   4460: { 
                   4461:   int i,ii=0,ip,j; 
                   4462:   double sum; 
                   4463:  
                   4464:   for (i=1;i<=n;i++) { 
                   4465:     ip=indx[i]; 
                   4466:     sum=b[ip]; 
                   4467:     b[ip]=b[i]; 
                   4468:     if (ii) 
                   4469:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   4470:     else if (sum) ii=i; 
                   4471:     b[i]=sum; 
                   4472:   } 
                   4473:   for (i=n;i>=1;i--) { 
                   4474:     sum=b[i]; 
                   4475:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   4476:     b[i]=sum/a[i][i]; 
                   4477:   } 
                   4478: } 
                   4479: 
                   4480: void pstamp(FILE *fichier)
                   4481: {
1.196     brouard  4482:   fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
1.126     brouard  4483: }
                   4484: 
1.297     brouard  4485: void date2dmy(double date,double *day, double *month, double *year){
                   4486:   double yp=0., yp1=0., yp2=0.;
                   4487:   
                   4488:   yp1=modf(date,&yp);/* extracts integral of date in yp  and
                   4489:                        fractional in yp1 */
                   4490:   *year=yp;
                   4491:   yp2=modf((yp1*12),&yp);
                   4492:   *month=yp;
                   4493:   yp1=modf((yp2*30.5),&yp);
                   4494:   *day=yp;
                   4495:   if(*day==0) *day=1;
                   4496:   if(*month==0) *month=1;
                   4497: }
                   4498: 
1.253     brouard  4499: 
                   4500: 
1.126     brouard  4501: /************ Frequencies ********************/
1.251     brouard  4502: void  freqsummary(char fileres[], double p[], double pstart[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, \
1.226     brouard  4503:                  int *Tvaraff, int *invalidvarcomb, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[], \
                   4504:                  int firstpass,  int lastpass, int stepm, int weightopt, char model[])
1.250     brouard  4505: {  /* Some frequencies as well as proposing some starting values */
1.226     brouard  4506:   
1.265     brouard  4507:   int i, m, jk, j1, bool, z1,j, nj, nl, k, iv, jj=0, s1=1, s2=1;
1.226     brouard  4508:   int iind=0, iage=0;
                   4509:   int mi; /* Effective wave */
                   4510:   int first;
                   4511:   double ***freq; /* Frequencies */
1.268     brouard  4512:   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 */
                   4513:   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  4514:   double *meanq, *stdq, *idq;
1.226     brouard  4515:   double **meanqt;
                   4516:   double *pp, **prop, *posprop, *pospropt;
                   4517:   double pos=0., posproptt=0., pospropta=0., k2, dateintsum=0,k2cpt=0;
                   4518:   char fileresp[FILENAMELENGTH], fileresphtm[FILENAMELENGTH], fileresphtmfr[FILENAMELENGTH];
                   4519:   double agebegin, ageend;
                   4520:     
                   4521:   pp=vector(1,nlstate);
1.251     brouard  4522:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+4+AGEMARGE); 
1.226     brouard  4523:   posprop=vector(1,nlstate); /* Counting the number of transition starting from a live state per age */ 
                   4524:   pospropt=vector(1,nlstate); /* Counting the number of transition starting from a live state */ 
                   4525:   /* prop=matrix(1,nlstate,iagemin,iagemax+3); */
                   4526:   meanq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.284     brouard  4527:   stdq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.283     brouard  4528:   idq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.226     brouard  4529:   meanqt=matrix(1,lastpass,1,nqtveff);
                   4530:   strcpy(fileresp,"P_");
                   4531:   strcat(fileresp,fileresu);
                   4532:   /*strcat(fileresphtm,fileresu);*/
                   4533:   if((ficresp=fopen(fileresp,"w"))==NULL) {
                   4534:     printf("Problem with prevalence resultfile: %s\n", fileresp);
                   4535:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
                   4536:     exit(0);
                   4537:   }
1.240     brouard  4538:   
1.226     brouard  4539:   strcpy(fileresphtm,subdirfext(optionfilefiname,"PHTM_",".htm"));
                   4540:   if((ficresphtm=fopen(fileresphtm,"w"))==NULL) {
                   4541:     printf("Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   4542:     fprintf(ficlog,"Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   4543:     fflush(ficlog);
                   4544:     exit(70); 
                   4545:   }
                   4546:   else{
                   4547:     fprintf(ficresphtm,"<html><head>\n<title>IMaCh PHTM_ %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
1.240     brouard  4548: <hr size=\"2\" color=\"#EC5E5E\"> \n                                   \
1.214     brouard  4549: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  4550:            fileresphtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   4551:   }
1.237     brouard  4552:   fprintf(ficresphtm,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>Frequencies and prevalence by age at begin of transition and dummy covariate value at beginning of transition</h4>\n",fileresphtm, fileresphtm);
1.240     brouard  4553:   
1.226     brouard  4554:   strcpy(fileresphtmfr,subdirfext(optionfilefiname,"PHTMFR_",".htm"));
                   4555:   if((ficresphtmfr=fopen(fileresphtmfr,"w"))==NULL) {
                   4556:     printf("Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   4557:     fprintf(ficlog,"Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   4558:     fflush(ficlog);
                   4559:     exit(70); 
1.240     brouard  4560:   } else{
1.226     brouard  4561:     fprintf(ficresphtmfr,"<html><head>\n<title>IMaCh PHTM_Frequency table %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
1.240     brouard  4562: <hr size=\"2\" color=\"#EC5E5E\"> \n                                   \
1.214     brouard  4563: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  4564:            fileresphtmfr,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   4565:   }
1.240     brouard  4566:   fprintf(ficresphtmfr,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>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);
                   4567:   
1.253     brouard  4568:   y= vector(iagemin-AGEMARGE,iagemax+4+AGEMARGE);
                   4569:   x= vector(iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.251     brouard  4570:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.226     brouard  4571:   j1=0;
1.126     brouard  4572:   
1.227     brouard  4573:   /* j=ncoveff;  /\* Only fixed dummy covariates *\/ */
                   4574:   j=cptcoveff;  /* Only dummy covariates of the model */
1.226     brouard  4575:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.240     brouard  4576:   
                   4577:   
1.226     brouard  4578:   /* Detects if a combination j1 is empty: for a multinomial variable like 3 education levels:
                   4579:      reference=low_education V1=0,V2=0
                   4580:      med_educ                V1=1 V2=0, 
                   4581:      high_educ               V1=0 V2=1
                   4582:      Then V1=1 and V2=1 is a noisy combination that we want to exclude for the list 2**cptcoveff 
                   4583:   */
1.249     brouard  4584:   dateintsum=0;
                   4585:   k2cpt=0;
                   4586: 
1.253     brouard  4587:   if(cptcoveff == 0 )
1.265     brouard  4588:     nl=1;  /* Constant and age model only */
1.253     brouard  4589:   else
                   4590:     nl=2;
1.265     brouard  4591: 
                   4592:   /* if a constant only model, one pass to compute frequency tables and to write it on ficresp */
                   4593:   /* Loop on nj=1 or 2 if dummy covariates j!=0
                   4594:    *   Loop on j1(1 to 2**cptcoveff) covariate combination
                   4595:    *     freq[s1][s2][iage] =0.
                   4596:    *     Loop on iind
                   4597:    *       ++freq[s1][s2][iage] weighted
                   4598:    *     end iind
                   4599:    *     if covariate and j!0
                   4600:    *       headers Variable on one line
                   4601:    *     endif cov j!=0
                   4602:    *     header of frequency table by age
                   4603:    *     Loop on age
                   4604:    *       pp[s1]+=freq[s1][s2][iage] weighted
                   4605:    *       pos+=freq[s1][s2][iage] weighted
                   4606:    *       Loop on s1 initial state
                   4607:    *         fprintf(ficresp
                   4608:    *       end s1
                   4609:    *     end age
                   4610:    *     if j!=0 computes starting values
                   4611:    *     end compute starting values
                   4612:    *   end j1
                   4613:    * end nl 
                   4614:    */
1.253     brouard  4615:   for (nj = 1; nj <= nl; nj++){   /* nj= 1 constant model, nl number of loops. */
                   4616:     if(nj==1)
                   4617:       j=0;  /* First pass for the constant */
1.265     brouard  4618:     else{
1.253     brouard  4619:       j=cptcoveff; /* Other passes for the covariate values */
1.265     brouard  4620:     }
1.251     brouard  4621:     first=1;
1.265     brouard  4622:     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  4623:       posproptt=0.;
                   4624:       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
                   4625:        scanf("%d", i);*/
                   4626:       for (i=-5; i<=nlstate+ndeath; i++)  
1.265     brouard  4627:        for (s2=-5; s2<=nlstate+ndeath; s2++)  
1.251     brouard  4628:          for(m=iagemin; m <= iagemax+3; m++)
1.265     brouard  4629:            freq[i][s2][m]=0;
1.251     brouard  4630:       
                   4631:       for (i=1; i<=nlstate; i++)  {
1.240     brouard  4632:        for(m=iagemin; m <= iagemax+3; m++)
1.251     brouard  4633:          prop[i][m]=0;
                   4634:        posprop[i]=0;
                   4635:        pospropt[i]=0;
                   4636:       }
1.283     brouard  4637:       for (z1=1; z1<= nqfveff; z1++) { /* zeroing for each combination j1 as well as for the total */
1.284     brouard  4638:         idq[z1]=0.;
                   4639:         meanq[z1]=0.;
                   4640:         stdq[z1]=0.;
1.283     brouard  4641:       }
                   4642:       /* for (z1=1; z1<= nqtveff; z1++) { */
1.251     brouard  4643:       /*   for(m=1;m<=lastpass;m++){ */
1.283     brouard  4644:       /*         meanqt[m][z1]=0.; */
                   4645:       /*       } */
                   4646:       /* }       */
1.251     brouard  4647:       /* dateintsum=0; */
                   4648:       /* k2cpt=0; */
                   4649:       
1.265     brouard  4650:       /* For that combination of covariates j1 (V4=1 V3=0 for example), we count and print the frequencies in one pass */
1.251     brouard  4651:       for (iind=1; iind<=imx; iind++) { /* For each individual iind */
                   4652:        bool=1;
                   4653:        if(j !=0){
                   4654:          if(anyvaryingduminmodel==0){ /* If All fixed covariates */
                   4655:            if (cptcoveff >0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
                   4656:              for (z1=1; z1<=cptcoveff; z1++) { /* loops on covariates in the model */
                   4657:                /* if(Tvaraff[z1] ==-20){ */
                   4658:                /*       /\* sumnew+=cotvar[mw[mi][iind]][z1][iind]; *\/ */
                   4659:                /* }else  if(Tvaraff[z1] ==-10){ */
                   4660:                /*       /\* sumnew+=coqvar[z1][iind]; *\/ */
                   4661:                /* }else  */
                   4662:                if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){ /* for combination j1 of covariates */
1.265     brouard  4663:                  /* Tests if the value of the covariate z1 for this individual iind responded to combination j1 (V4=1 V3=0) */
1.251     brouard  4664:                  bool=0; /* bool should be equal to 1 to be selected, one covariate value failed */
                   4665:                  /* 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", 
                   4666:                     bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
                   4667:                     j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
                   4668:                  /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
                   4669:                } /* Onlyf fixed */
                   4670:              } /* end z1 */
                   4671:            } /* cptcovn > 0 */
                   4672:          } /* end any */
                   4673:        }/* end j==0 */
1.265     brouard  4674:        if (bool==1){ /* We selected an individual iind satisfying combination j1 (V4=1 V3=0) or all fixed covariates */
1.251     brouard  4675:          /* for(m=firstpass; m<=lastpass; m++){ */
1.284     brouard  4676:          for(mi=1; mi<wav[iind];mi++){ /* For each wave */
1.251     brouard  4677:            m=mw[mi][iind];
                   4678:            if(j!=0){
                   4679:              if(anyvaryingduminmodel==1){ /* Some are varying covariates */
                   4680:                for (z1=1; z1<=cptcoveff; z1++) {
                   4681:                  if( Fixed[Tmodelind[z1]]==1){
                   4682:                    iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   4683:                    if (cotvar[m][iv][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality. If covariate's 
                   4684:                                                                                      value is -1, we don't select. It differs from the 
                   4685:                                                                                      constant and age model which counts them. */
                   4686:                      bool=0; /* not selected */
                   4687:                  }else if( Fixed[Tmodelind[z1]]== 0) { /* fixed */
                   4688:                    if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   4689:                      bool=0;
                   4690:                    }
                   4691:                  }
                   4692:                }
                   4693:              }/* Some are varying covariates, we tried to speed up if all fixed covariates in the model, avoiding waves loop  */
                   4694:            } /* end j==0 */
                   4695:            /* bool =0 we keep that guy which corresponds to the combination of dummy values */
1.284     brouard  4696:            if(bool==1){ /*Selected */
1.251     brouard  4697:              /* dh[m][iind] or dh[mw[mi][iind]][iind] is the delay between two effective (mi) waves m=mw[mi][iind]
                   4698:                 and mw[mi+1][iind]. dh depends on stepm. */
                   4699:              agebegin=agev[m][iind]; /* Age at beginning of wave before transition*/
                   4700:              ageend=agev[m][iind]+(dh[m][iind])*stepm/YEARM; /* Age at end of wave and transition */
                   4701:              if(m >=firstpass && m <=lastpass){
                   4702:                k2=anint[m][iind]+(mint[m][iind]/12.);
                   4703:                /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   4704:                if(agev[m][iind]==0) agev[m][iind]=iagemax+1;  /* All ages equal to 0 are in iagemax+1 */
                   4705:                if(agev[m][iind]==1) agev[m][iind]=iagemax+2;  /* All ages equal to 1 are in iagemax+2 */
                   4706:                if (s[m][iind]>0 && s[m][iind]<=nlstate)  /* If status at wave m is known and a live state */
                   4707:                  prop[s[m][iind]][(int)agev[m][iind]] += weight[iind];  /* At age of beginning of transition, where status is known */
                   4708:                if (m<lastpass) {
                   4709:                  /* if(s[m][iind]==4 && s[m+1][iind]==4) */
                   4710:                  /*   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]); */
                   4711:                  if(s[m][iind]==-1)
                   4712:                    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.));
                   4713:                  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  4714:                  for (z1=1; z1<= nqfveff; z1++) { /* Quantitative variables, calculating mean on known values only */
                   4715:                    if(!isnan(covar[ncovcol+z1][iind])){
                   4716:                        idq[z1]=idq[z1]+weight[iind];
                   4717:                        meanq[z1]+=covar[ncovcol+z1][iind]*weight[iind];  /* Computes mean of quantitative with selected filter */
                   4718:                        /* stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]*weight[iind]; *//*error*/
                   4719:                        stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]; /* *weight[iind];*/  /* Computes mean of quantitative with selected filter */
                   4720:                    }
1.284     brouard  4721:                  }
1.251     brouard  4722:                  /* if((int)agev[m][iind] == 55) */
                   4723:                  /*   printf("j=%d, j1=%d Age %d, iind=%d, num=%09ld m=%d\n",j,j1,(int)agev[m][iind],iind, num[iind],m); */
                   4724:                  /* freq[s[m][iind]][s[m+1][iind]][(int)((agebegin+ageend)/2.)] += weight[iind]; */
                   4725:                  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  4726:                }
1.251     brouard  4727:              } /* end if between passes */  
                   4728:              if ((agev[m][iind]>1) && (agev[m][iind]< (iagemax+3)) && (anint[m][iind]!=9999) && (mint[m][iind]!=99) && (j==0)) {
                   4729:                dateintsum=dateintsum+k2; /* on all covariates ?*/
                   4730:                k2cpt++;
                   4731:                /* printf("iind=%ld dateintmean = %lf dateintsum=%lf k2cpt=%lf k2=%lf\n",iind, dateintsum/k2cpt, dateintsum,k2cpt, k2); */
1.234     brouard  4732:              }
1.251     brouard  4733:            }else{
                   4734:              bool=1;
                   4735:            }/* end bool 2 */
                   4736:          } /* end m */
1.284     brouard  4737:          /* for (z1=1; z1<= nqfveff; z1++) { /\* Quantitative variables, calculating mean *\/ */
                   4738:          /*   idq[z1]=idq[z1]+weight[iind]; */
                   4739:          /*   meanq[z1]+=covar[ncovcol+z1][iind]*weight[iind];  /\* Computes mean of quantitative with selected filter *\/ */
                   4740:          /*   stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]*weight[iind]; /\* *weight[iind];*\/  /\* Computes mean of quantitative with selected filter *\/ */
                   4741:          /* } */
1.251     brouard  4742:        } /* end bool */
                   4743:       } /* end iind = 1 to imx */
                   4744:       /* prop[s][age] is feeded for any initial and valid live state as well as
                   4745:         freq[s1][s2][age] at single age of beginning the transition, for a combination j1 */
                   4746:       
                   4747:       
                   4748:       /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
1.265     brouard  4749:       if(cptcoveff==0 && nj==1) /* no covariate and first pass */
                   4750:         pstamp(ficresp);
1.251     brouard  4751:       if  (cptcoveff>0 && j!=0){
1.265     brouard  4752:         pstamp(ficresp);
1.251     brouard  4753:        printf( "\n#********** Variable "); 
                   4754:        fprintf(ficresp, "\n#********** Variable "); 
                   4755:        fprintf(ficresphtm, "\n<br/><br/><h3>********** Variable "); 
                   4756:        fprintf(ficresphtmfr, "\n<br/><br/><h3>********** Variable "); 
                   4757:        fprintf(ficlog, "\n#********** Variable "); 
                   4758:        for (z1=1; z1<=cptcoveff; z1++){
                   4759:          if(!FixedV[Tvaraff[z1]]){
                   4760:            printf( "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4761:            fprintf(ficresp, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4762:            fprintf(ficresphtm, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4763:            fprintf(ficresphtmfr, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4764:            fprintf(ficlog, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.250     brouard  4765:          }else{
1.251     brouard  4766:            printf( "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4767:            fprintf(ficresp, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4768:            fprintf(ficresphtm, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4769:            fprintf(ficresphtmfr, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4770:            fprintf(ficlog, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4771:          }
                   4772:        }
                   4773:        printf( "**********\n#");
                   4774:        fprintf(ficresp, "**********\n#");
                   4775:        fprintf(ficresphtm, "**********</h3>\n");
                   4776:        fprintf(ficresphtmfr, "**********</h3>\n");
                   4777:        fprintf(ficlog, "**********\n");
                   4778:       }
1.284     brouard  4779:       /*
                   4780:        Printing means of quantitative variables if any
                   4781:       */
                   4782:       for (z1=1; z1<= nqfveff; z1++) {
1.311     brouard  4783:        fprintf(ficlog,"Mean of fixed quantitative variable V%d on %.3g (weighted) individuals sum=%f", ncovcol+z1, idq[z1], meanq[z1]);
1.312   ! brouard  4784:        fprintf(ficlog,", mean=%.3g\n",meanq[z1]/idq[z1]);
1.284     brouard  4785:        if(weightopt==1){
                   4786:          printf(" Weighted mean and standard deviation of");
                   4787:          fprintf(ficlog," Weighted mean and standard deviation of");
                   4788:          fprintf(ficresphtmfr," Weighted mean and standard deviation of");
                   4789:        }
1.311     brouard  4790:        /* mu = \frac{w x}{\sum w}
                   4791:            var = \frac{\sum w (x-mu)^2}{\sum w} = \frac{w x^2}{\sum w} - mu^2 
                   4792:        */
                   4793:        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]));
                   4794:        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]));
                   4795:        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  4796:       }
                   4797:       /* for (z1=1; z1<= nqtveff; z1++) { */
                   4798:       /*       for(m=1;m<=lastpass;m++){ */
                   4799:       /*         fprintf(ficresphtmfr,"V quantitative id %d, pass id=%d, mean=%f<p>\n", z1, m, meanqt[m][z1]); */
                   4800:       /*   } */
                   4801:       /* } */
1.283     brouard  4802: 
1.251     brouard  4803:       fprintf(ficresphtm,"<table style=\"text-align:center; border: 1px solid\">");
1.265     brouard  4804:       if((cptcoveff==0 && nj==1)|| nj==2 ) /* no covariate and first pass */
                   4805:         fprintf(ficresp, " Age");
                   4806:       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  4807:       for(i=1; i<=nlstate;i++) {
1.265     brouard  4808:        if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp," Prev(%d)  N(%d)  N  ",i,i);
1.251     brouard  4809:        fprintf(ficresphtm, "<th>Age</th><th>Prev(%d)</th><th>N(%d)</th><th>N</th>",i,i);
                   4810:       }
1.265     brouard  4811:       if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp, "\n");
1.251     brouard  4812:       fprintf(ficresphtm, "\n");
                   4813:       
                   4814:       /* Header of frequency table by age */
                   4815:       fprintf(ficresphtmfr,"<table style=\"text-align:center; border: 1px solid\">");
                   4816:       fprintf(ficresphtmfr,"<th>Age</th> ");
1.265     brouard  4817:       for(s2=-1; s2 <=nlstate+ndeath; s2++){
1.251     brouard  4818:        for(m=-1; m <=nlstate+ndeath; m++){
1.265     brouard  4819:          if(s2!=0 && m!=0)
                   4820:            fprintf(ficresphtmfr,"<th>%d%d</th> ",s2,m);
1.240     brouard  4821:        }
1.226     brouard  4822:       }
1.251     brouard  4823:       fprintf(ficresphtmfr, "\n");
                   4824:     
                   4825:       /* For each age */
                   4826:       for(iage=iagemin; iage <= iagemax+3; iage++){
                   4827:        fprintf(ficresphtm,"<tr>");
                   4828:        if(iage==iagemax+1){
                   4829:          fprintf(ficlog,"1");
                   4830:          fprintf(ficresphtmfr,"<tr><th>0</th> ");
                   4831:        }else if(iage==iagemax+2){
                   4832:          fprintf(ficlog,"0");
                   4833:          fprintf(ficresphtmfr,"<tr><th>Unknown</th> ");
                   4834:        }else if(iage==iagemax+3){
                   4835:          fprintf(ficlog,"Total");
                   4836:          fprintf(ficresphtmfr,"<tr><th>Total</th> ");
                   4837:        }else{
1.240     brouard  4838:          if(first==1){
1.251     brouard  4839:            first=0;
                   4840:            printf("See log file for details...\n");
                   4841:          }
                   4842:          fprintf(ficresphtmfr,"<tr><th>%d</th> ",iage);
                   4843:          fprintf(ficlog,"Age %d", iage);
                   4844:        }
1.265     brouard  4845:        for(s1=1; s1 <=nlstate ; s1++){
                   4846:          for(m=-1, pp[s1]=0; m <=nlstate+ndeath ; m++)
                   4847:            pp[s1] += freq[s1][m][iage]; 
1.251     brouard  4848:        }
1.265     brouard  4849:        for(s1=1; s1 <=nlstate ; s1++){
1.251     brouard  4850:          for(m=-1, pos=0; m <=0 ; m++)
1.265     brouard  4851:            pos += freq[s1][m][iage];
                   4852:          if(pp[s1]>=1.e-10){
1.251     brouard  4853:            if(first==1){
1.265     brouard  4854:              printf(" %d.=%.0f loss[%d]=%.1f%%",s1,pp[s1],s1,100*pos/pp[s1]);
1.251     brouard  4855:            }
1.265     brouard  4856:            fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",s1,pp[s1],s1,100*pos/pp[s1]);
1.251     brouard  4857:          }else{
                   4858:            if(first==1)
1.265     brouard  4859:              printf(" %d.=%.0f loss[%d]=NaNQ%%",s1,pp[s1],s1);
                   4860:            fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",s1,pp[s1],s1);
1.240     brouard  4861:          }
                   4862:        }
                   4863:       
1.265     brouard  4864:        for(s1=1; s1 <=nlstate ; s1++){ 
                   4865:          /* posprop[s1]=0; */
                   4866:          for(m=0, pp[s1]=0; m <=nlstate+ndeath; m++)/* Summing on all ages */
                   4867:            pp[s1] += freq[s1][m][iage];
                   4868:        }       /* pp[s1] is the total number of transitions starting from state s1 and any ending status until this age */
                   4869:       
                   4870:        for(s1=1,pos=0, pospropta=0.; s1 <=nlstate ; s1++){
                   4871:          pos += pp[s1]; /* pos is the total number of transitions until this age */
                   4872:          posprop[s1] += prop[s1][iage]; /* prop is the number of transitions from a live state
                   4873:                                            from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4874:          pospropta += prop[s1][iage]; /* prop is the number of transitions from a live state
                   4875:                                          from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4876:        }
                   4877:        
                   4878:        /* Writing ficresp */
                   4879:        if(cptcoveff==0 && nj==1){ /* no covariate and first pass */
                   4880:           if( iage <= iagemax){
                   4881:            fprintf(ficresp," %d",iage);
                   4882:           }
                   4883:         }else if( nj==2){
                   4884:           if( iage <= iagemax){
                   4885:            fprintf(ficresp," %d",iage);
                   4886:             for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, " %d %d",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4887:           }
1.240     brouard  4888:        }
1.265     brouard  4889:        for(s1=1; s1 <=nlstate ; s1++){
1.240     brouard  4890:          if(pos>=1.e-5){
1.251     brouard  4891:            if(first==1)
1.265     brouard  4892:              printf(" %d.=%.0f prev[%d]=%.1f%%",s1,pp[s1],s1,100*pp[s1]/pos);
                   4893:            fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",s1,pp[s1],s1,100*pp[s1]/pos);
1.251     brouard  4894:          }else{
                   4895:            if(first==1)
1.265     brouard  4896:              printf(" %d.=%.0f prev[%d]=NaNQ%%",s1,pp[s1],s1);
                   4897:            fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",s1,pp[s1],s1);
1.251     brouard  4898:          }
                   4899:          if( iage <= iagemax){
                   4900:            if(pos>=1.e-5){
1.265     brouard  4901:              if(cptcoveff==0 && nj==1){ /* no covariate and first pass */
                   4902:                fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   4903:               }else if( nj==2){
                   4904:                fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   4905:               }
                   4906:              fprintf(ficresphtm,"<th>%d</th><td>%.5f</td><td>%.0f</td><td>%.0f</td>",iage,prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   4907:              /*probs[iage][s1][j1]= pp[s1]/pos;*/
                   4908:              /*printf("\niage=%d s1=%d j1=%d %.5f %.0f %.0f %f",iage,s1,j1,pp[s1]/pos, pp[s1],pos,probs[iage][s1][j1]);*/
                   4909:            } else{
                   4910:              if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp," NaNq %.0f %.0f",prop[s1][iage],pospropta);
                   4911:              fprintf(ficresphtm,"<th>%d</th><td>NaNq</td><td>%.0f</td><td>%.0f</td>",iage, prop[s1][iage],pospropta);
1.251     brouard  4912:            }
1.240     brouard  4913:          }
1.265     brouard  4914:          pospropt[s1] +=posprop[s1];
                   4915:        } /* end loop s1 */
1.251     brouard  4916:        /* pospropt=0.; */
1.265     brouard  4917:        for(s1=-1; s1 <=nlstate+ndeath; s1++){
1.251     brouard  4918:          for(m=-1; m <=nlstate+ndeath; m++){
1.265     brouard  4919:            if(freq[s1][m][iage] !=0 ) { /* minimizing output */
1.251     brouard  4920:              if(first==1){
1.265     brouard  4921:                printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]);
1.251     brouard  4922:              }
1.265     brouard  4923:              /* printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]); */
                   4924:              fprintf(ficlog," %d%d=%.0f",s1,m,freq[s1][m][iage]);
1.251     brouard  4925:            }
1.265     brouard  4926:            if(s1!=0 && m!=0)
                   4927:              fprintf(ficresphtmfr,"<td>%.0f</td> ",freq[s1][m][iage]);
1.240     brouard  4928:          }
1.265     brouard  4929:        } /* end loop s1 */
1.251     brouard  4930:        posproptt=0.; 
1.265     brouard  4931:        for(s1=1; s1 <=nlstate; s1++){
                   4932:          posproptt += pospropt[s1];
1.251     brouard  4933:        }
                   4934:        fprintf(ficresphtmfr,"</tr>\n ");
1.265     brouard  4935:        fprintf(ficresphtm,"</tr>\n");
                   4936:        if((cptcoveff==0 && nj==1)|| nj==2 ) {
                   4937:          if(iage <= iagemax)
                   4938:            fprintf(ficresp,"\n");
1.240     brouard  4939:        }
1.251     brouard  4940:        if(first==1)
                   4941:          printf("Others in log...\n");
                   4942:        fprintf(ficlog,"\n");
                   4943:       } /* end loop age iage */
1.265     brouard  4944:       
1.251     brouard  4945:       fprintf(ficresphtm,"<tr><th>Tot</th>");
1.265     brouard  4946:       for(s1=1; s1 <=nlstate ; s1++){
1.251     brouard  4947:        if(posproptt < 1.e-5){
1.265     brouard  4948:          fprintf(ficresphtm,"<td>Nanq</td><td>%.0f</td><td>%.0f</td>",pospropt[s1],posproptt); 
1.251     brouard  4949:        }else{
1.265     brouard  4950:          fprintf(ficresphtm,"<td>%.5f</td><td>%.0f</td><td>%.0f</td>",pospropt[s1]/posproptt,pospropt[s1],posproptt);  
1.240     brouard  4951:        }
1.226     brouard  4952:       }
1.251     brouard  4953:       fprintf(ficresphtm,"</tr>\n");
                   4954:       fprintf(ficresphtm,"</table>\n");
                   4955:       fprintf(ficresphtmfr,"</table>\n");
1.226     brouard  4956:       if(posproptt < 1.e-5){
1.251     brouard  4957:        fprintf(ficresphtm,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
                   4958:        fprintf(ficresphtmfr,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
1.260     brouard  4959:        fprintf(ficlog,"#  This combination (%d) is not valid and no result will be produced\n",j1);
                   4960:        printf("#  This combination (%d) is not valid and no result will be produced\n",j1);
1.251     brouard  4961:        invalidvarcomb[j1]=1;
1.226     brouard  4962:       }else{
1.251     brouard  4963:        fprintf(ficresphtm,"\n <p> This combination (%d) is valid and result will be produced.</p>",j1);
                   4964:        invalidvarcomb[j1]=0;
1.226     brouard  4965:       }
1.251     brouard  4966:       fprintf(ficresphtmfr,"</table>\n");
                   4967:       fprintf(ficlog,"\n");
                   4968:       if(j!=0){
                   4969:        printf("#Freqsummary: Starting values for combination j1=%d:\n", j1);
1.265     brouard  4970:        for(i=1,s1=1; i <=nlstate; i++){
1.251     brouard  4971:          for(k=1; k <=(nlstate+ndeath); k++){
                   4972:            if (k != i) {
1.265     brouard  4973:              for(jj=1; jj <=ncovmodel; jj++){ /* For counting s1 */
1.253     brouard  4974:                if(jj==1){  /* Constant case (in fact cste + age) */
1.251     brouard  4975:                  if(j1==1){ /* All dummy covariates to zero */
                   4976:                    freq[i][k][iagemax+4]=freq[i][k][iagemax+3]; /* Stores case 0 0 0 */
                   4977:                    freq[i][i][iagemax+4]=freq[i][i][iagemax+3]; /* Stores case 0 0 0 */
1.252     brouard  4978:                    printf("%d%d ",i,k);
                   4979:                    fprintf(ficlog,"%d%d ",i,k);
1.265     brouard  4980:                    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]));
                   4981:                    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]));
                   4982:                    pstart[s1]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]);
1.251     brouard  4983:                  }
1.253     brouard  4984:                }else if((j1==1) && (jj==2 || nagesqr==1)){ /* age or age*age parameter without covariate V4*age (to be done later) */
                   4985:                  for(iage=iagemin; iage <= iagemax+3; iage++){
                   4986:                    x[iage]= (double)iage;
                   4987:                    y[iage]= log(freq[i][k][iage]/freq[i][i][iage]);
1.265     brouard  4988:                    /* 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  4989:                  }
1.268     brouard  4990:                  /* Some are not finite, but linreg will ignore these ages */
                   4991:                  no=0;
1.253     brouard  4992:                  linreg(iagemin,iagemax,&no,x,y,&a,&b,&r, &sa, &sb ); /* y= a+b*x with standard errors */
1.265     brouard  4993:                  pstart[s1]=b;
                   4994:                  pstart[s1-1]=a;
1.252     brouard  4995:                }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 */ 
                   4996:                  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]);
                   4997:                  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  4998:                  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  4999:                  printf("%d%d ",i,k);
                   5000:                  fprintf(ficlog,"%d%d ",i,k);
1.265     brouard  5001:                  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  5002:                }else{ /* Other cases, like quantitative fixed or varying covariates */
                   5003:                  ;
                   5004:                }
                   5005:                /* printf("%12.7f )", param[i][jj][k]); */
                   5006:                /* fprintf(ficlog,"%12.7f )", param[i][jj][k]); */
1.265     brouard  5007:                s1++; 
1.251     brouard  5008:              } /* end jj */
                   5009:            } /* end k!= i */
                   5010:          } /* end k */
1.265     brouard  5011:        } /* end i, s1 */
1.251     brouard  5012:       } /* end j !=0 */
                   5013:     } /* end selected combination of covariate j1 */
                   5014:     if(j==0){ /* We can estimate starting values from the occurences in each case */
                   5015:       printf("#Freqsummary: Starting values for the constants:\n");
                   5016:       fprintf(ficlog,"\n");
1.265     brouard  5017:       for(i=1,s1=1; i <=nlstate; i++){
1.251     brouard  5018:        for(k=1; k <=(nlstate+ndeath); k++){
                   5019:          if (k != i) {
                   5020:            printf("%d%d ",i,k);
                   5021:            fprintf(ficlog,"%d%d ",i,k);
                   5022:            for(jj=1; jj <=ncovmodel; jj++){
1.265     brouard  5023:              pstart[s1]=p[s1]; /* Setting pstart to p values by default */
1.253     brouard  5024:              if(jj==1){ /* Age has to be done */
1.265     brouard  5025:                pstart[s1]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]);
                   5026:                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]));
                   5027:                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  5028:              }
                   5029:              /* printf("%12.7f )", param[i][jj][k]); */
                   5030:              /* fprintf(ficlog,"%12.7f )", param[i][jj][k]); */
1.265     brouard  5031:              s1++; 
1.250     brouard  5032:            }
1.251     brouard  5033:            printf("\n");
                   5034:            fprintf(ficlog,"\n");
1.250     brouard  5035:          }
                   5036:        }
1.284     brouard  5037:       } /* end of state i */
1.251     brouard  5038:       printf("#Freqsummary\n");
                   5039:       fprintf(ficlog,"\n");
1.265     brouard  5040:       for(s1=-1; s1 <=nlstate+ndeath; s1++){
                   5041:        for(s2=-1; s2 <=nlstate+ndeath; s2++){
                   5042:          /* param[i]|j][k]= freq[s1][s2][iagemax+3] */
                   5043:          printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]);
                   5044:          fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]);
                   5045:          /* if(freq[s1][s2][iage] !=0 ) { /\* minimizing output *\/ */
                   5046:          /*   printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); */
                   5047:          /*   fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); */
1.251     brouard  5048:          /* } */
                   5049:        }
1.265     brouard  5050:       } /* end loop s1 */
1.251     brouard  5051:       
                   5052:       printf("\n");
                   5053:       fprintf(ficlog,"\n");
                   5054:     } /* end j=0 */
1.249     brouard  5055:   } /* end j */
1.252     brouard  5056: 
1.253     brouard  5057:   if(mle == -2){  /* We want to use these values as starting values */
1.252     brouard  5058:     for(i=1, jk=1; i <=nlstate; i++){
                   5059:       for(j=1; j <=nlstate+ndeath; j++){
                   5060:        if(j!=i){
                   5061:          /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   5062:          printf("%1d%1d",i,j);
                   5063:          fprintf(ficparo,"%1d%1d",i,j);
                   5064:          for(k=1; k<=ncovmodel;k++){
                   5065:            /*    printf(" %lf",param[i][j][k]); */
                   5066:            /*    fprintf(ficparo," %lf",param[i][j][k]); */
                   5067:            p[jk]=pstart[jk];
                   5068:            printf(" %f ",pstart[jk]);
                   5069:            fprintf(ficparo," %f ",pstart[jk]);
                   5070:            jk++;
                   5071:          }
                   5072:          printf("\n");
                   5073:          fprintf(ficparo,"\n");
                   5074:        }
                   5075:       }
                   5076:     }
                   5077:   } /* end mle=-2 */
1.226     brouard  5078:   dateintmean=dateintsum/k2cpt; 
1.296     brouard  5079:   date2dmy(dateintmean,&jintmean,&mintmean,&aintmean);
1.240     brouard  5080:   
1.226     brouard  5081:   fclose(ficresp);
                   5082:   fclose(ficresphtm);
                   5083:   fclose(ficresphtmfr);
1.283     brouard  5084:   free_vector(idq,1,nqfveff);
1.226     brouard  5085:   free_vector(meanq,1,nqfveff);
1.284     brouard  5086:   free_vector(stdq,1,nqfveff);
1.226     brouard  5087:   free_matrix(meanqt,1,lastpass,1,nqtveff);
1.253     brouard  5088:   free_vector(x, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
                   5089:   free_vector(y, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.251     brouard  5090:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.226     brouard  5091:   free_vector(pospropt,1,nlstate);
                   5092:   free_vector(posprop,1,nlstate);
1.251     brouard  5093:   free_matrix(prop,1,nlstate,iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.226     brouard  5094:   free_vector(pp,1,nlstate);
                   5095:   /* End of freqsummary */
                   5096: }
1.126     brouard  5097: 
1.268     brouard  5098: /* Simple linear regression */
                   5099: int linreg(int ifi, int ila, int *no, const double x[], const double y[], double* a, double* b, double* r, double* sa, double * sb) {
                   5100: 
                   5101:   /* y=a+bx regression */
                   5102:   double   sumx = 0.0;                        /* sum of x                      */
                   5103:   double   sumx2 = 0.0;                       /* sum of x**2                   */
                   5104:   double   sumxy = 0.0;                       /* sum of x * y                  */
                   5105:   double   sumy = 0.0;                        /* sum of y                      */
                   5106:   double   sumy2 = 0.0;                       /* sum of y**2                   */
                   5107:   double   sume2 = 0.0;                       /* sum of square or residuals */
                   5108:   double yhat;
                   5109:   
                   5110:   double denom=0;
                   5111:   int i;
                   5112:   int ne=*no;
                   5113:   
                   5114:   for ( i=ifi, ne=0;i<=ila;i++) {
                   5115:     if(!isfinite(x[i]) || !isfinite(y[i])){
                   5116:       /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */
                   5117:       continue;
                   5118:     }
                   5119:     ne=ne+1;
                   5120:     sumx  += x[i];       
                   5121:     sumx2 += x[i]*x[i];  
                   5122:     sumxy += x[i] * y[i];
                   5123:     sumy  += y[i];      
                   5124:     sumy2 += y[i]*y[i]; 
                   5125:     denom = (ne * sumx2 - sumx*sumx);
                   5126:     /* 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); */
                   5127:   } 
                   5128:   
                   5129:   denom = (ne * sumx2 - sumx*sumx);
                   5130:   if (denom == 0) {
                   5131:     // vertical, slope m is infinity
                   5132:     *b = INFINITY;
                   5133:     *a = 0;
                   5134:     if (r) *r = 0;
                   5135:     return 1;
                   5136:   }
                   5137:   
                   5138:   *b = (ne * sumxy  -  sumx * sumy) / denom;
                   5139:   *a = (sumy * sumx2  -  sumx * sumxy) / denom;
                   5140:   if (r!=NULL) {
                   5141:     *r = (sumxy - sumx * sumy / ne) /          /* compute correlation coeff     */
                   5142:       sqrt((sumx2 - sumx*sumx/ne) *
                   5143:           (sumy2 - sumy*sumy/ne));
                   5144:   }
                   5145:   *no=ne;
                   5146:   for ( i=ifi, ne=0;i<=ila;i++) {
                   5147:     if(!isfinite(x[i]) || !isfinite(y[i])){
                   5148:       /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */
                   5149:       continue;
                   5150:     }
                   5151:     ne=ne+1;
                   5152:     yhat = y[i] - *a -*b* x[i];
                   5153:     sume2  += yhat * yhat ;       
                   5154:     
                   5155:     denom = (ne * sumx2 - sumx*sumx);
                   5156:     /* 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); */
                   5157:   } 
                   5158:   *sb = sqrt(sume2/(double)(ne-2)/(sumx2 - sumx * sumx /(double)ne));
                   5159:   *sa= *sb * sqrt(sumx2/ne);
                   5160:   
                   5161:   return 0; 
                   5162: }
                   5163: 
1.126     brouard  5164: /************ Prevalence ********************/
1.227     brouard  5165: 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)
                   5166: {  
                   5167:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   5168:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   5169:      We still use firstpass and lastpass as another selection.
                   5170:   */
1.126     brouard  5171:  
1.227     brouard  5172:   int i, m, jk, j1, bool, z1,j, iv;
                   5173:   int mi; /* Effective wave */
                   5174:   int iage;
                   5175:   double agebegin, ageend;
                   5176: 
                   5177:   double **prop;
                   5178:   double posprop; 
                   5179:   double  y2; /* in fractional years */
                   5180:   int iagemin, iagemax;
                   5181:   int first; /** to stop verbosity which is redirected to log file */
                   5182: 
                   5183:   iagemin= (int) agemin;
                   5184:   iagemax= (int) agemax;
                   5185:   /*pp=vector(1,nlstate);*/
1.251     brouard  5186:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+4+AGEMARGE); 
1.227     brouard  5187:   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   5188:   j1=0;
1.222     brouard  5189:   
1.227     brouard  5190:   /*j=cptcoveff;*/
                   5191:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.222     brouard  5192:   
1.288     brouard  5193:   first=0;
1.227     brouard  5194:   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ /* For each combination of covariate */
                   5195:     for (i=1; i<=nlstate; i++)  
1.251     brouard  5196:       for(iage=iagemin-AGEMARGE; iage <= iagemax+4+AGEMARGE; iage++)
1.227     brouard  5197:        prop[i][iage]=0.0;
                   5198:     printf("Prevalence combination of varying and fixed dummies %d\n",j1);
                   5199:     /* fprintf(ficlog," V%d=%d ",Tvaraff[j1],nbcode[Tvaraff[j1]][codtabm(k,j1)]); */
                   5200:     fprintf(ficlog,"Prevalence combination of varying and fixed dummies %d\n",j1);
                   5201:     
                   5202:     for (i=1; i<=imx; i++) { /* Each individual */
                   5203:       bool=1;
                   5204:       /* for(m=firstpass; m<=lastpass; m++){/\* Other selection (we can limit to certain interviews*\/ */
                   5205:       for(mi=1; mi<wav[i];mi++){ /* For this wave too look where individual can be counted V4=0 V3=0 */
                   5206:        m=mw[mi][i];
                   5207:        /* Tmodelind[z1]=k is the position of the varying covariate in the model, but which # within 1 to ntv? */
                   5208:        /* Tvar[Tmodelind[z1]] is the n of Vn; n-ncovcol-nqv is the first time varying covariate or iv */
                   5209:        for (z1=1; z1<=cptcoveff; z1++){
                   5210:          if( Fixed[Tmodelind[z1]]==1){
                   5211:            iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   5212:            if (cotvar[m][iv][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality */
                   5213:              bool=0;
                   5214:          }else if( Fixed[Tmodelind[z1]]== 0)  /* fixed */
                   5215:            if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   5216:              bool=0;
                   5217:            }
                   5218:        }
                   5219:        if(bool==1){ /* Otherwise we skip that wave/person */
                   5220:          agebegin=agev[m][i]; /* Age at beginning of wave before transition*/
                   5221:          /* ageend=agev[m][i]+(dh[m][i])*stepm/YEARM; /\* Age at end of wave and transition *\/ */
                   5222:          if(m >=firstpass && m <=lastpass){
                   5223:            y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                   5224:            if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                   5225:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   5226:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
1.251     brouard  5227:              if((int)agev[m][i] <iagemin-AGEMARGE || (int)agev[m][i] >iagemax+4+AGEMARGE){
1.227     brouard  5228:                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); 
                   5229:                exit(1);
                   5230:              }
                   5231:              if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   5232:                /*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]]);*/
                   5233:                prop[s[m][i]][(int)agev[m][i]] += weight[i];/* At age of beginning of transition, where status is known */
                   5234:                prop[s[m][i]][iagemax+3] += weight[i]; 
                   5235:              } /* end valid statuses */ 
                   5236:            } /* end selection of dates */
                   5237:          } /* end selection of waves */
                   5238:        } /* end bool */
                   5239:       } /* end wave */
                   5240:     } /* end individual */
                   5241:     for(i=iagemin; i <= iagemax+3; i++){  
                   5242:       for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
                   5243:        posprop += prop[jk][i]; 
                   5244:       } 
                   5245:       
                   5246:       for(jk=1; jk <=nlstate ; jk++){      
                   5247:        if( i <=  iagemax){ 
                   5248:          if(posprop>=1.e-5){ 
                   5249:            probs[i][jk][j1]= prop[jk][i]/posprop;
                   5250:          } else{
1.288     brouard  5251:            if(!first){
                   5252:              first=1;
1.266     brouard  5253:              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]);
                   5254:            }else{
1.288     brouard  5255:              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  5256:            }
                   5257:          }
                   5258:        } 
                   5259:       }/* end jk */ 
                   5260:     }/* end i */ 
1.222     brouard  5261:      /*} *//* end i1 */
1.227     brouard  5262:   } /* end j1 */
1.222     brouard  5263:   
1.227     brouard  5264:   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   5265:   /*free_vector(pp,1,nlstate);*/
1.251     brouard  5266:   free_matrix(prop,1,nlstate, iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.227     brouard  5267: }  /* End of prevalence */
1.126     brouard  5268: 
                   5269: /************* Waves Concatenation ***************/
                   5270: 
                   5271: 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)
                   5272: {
1.298     brouard  5273:   /* 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  5274:      Death is a valid wave (if date is known).
                   5275:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   5276:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
1.298     brouard  5277:      and mw[mi+1][i]. dh depends on stepm. s[m][i] exists for any wave from firstpass to lastpass
1.227     brouard  5278:   */
1.126     brouard  5279: 
1.224     brouard  5280:   int i=0, mi=0, m=0, mli=0;
1.126     brouard  5281:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   5282:      double sum=0., jmean=0.;*/
1.224     brouard  5283:   int first=0, firstwo=0, firsthree=0, firstfour=0, firstfiv=0;
1.126     brouard  5284:   int j, k=0,jk, ju, jl;
                   5285:   double sum=0.;
                   5286:   first=0;
1.214     brouard  5287:   firstwo=0;
1.217     brouard  5288:   firsthree=0;
1.218     brouard  5289:   firstfour=0;
1.164     brouard  5290:   jmin=100000;
1.126     brouard  5291:   jmax=-1;
                   5292:   jmean=0.;
1.224     brouard  5293: 
                   5294: /* Treating live states */
1.214     brouard  5295:   for(i=1; i<=imx; i++){  /* For simple cases and if state is death */
1.224     brouard  5296:     mi=0;  /* First valid wave */
1.227     brouard  5297:     mli=0; /* Last valid wave */
1.309     brouard  5298:     m=firstpass;  /* Loop on waves */
                   5299:     while(s[m][i] <= nlstate){  /* a live state or unknown state  */
1.227     brouard  5300:       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 */
                   5301:        mli=m-1;/* mw[++mi][i]=m-1; */
                   5302:       }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  5303:        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  5304:        mli=m;
1.224     brouard  5305:       } /* else might be a useless wave  -1 and mi is not incremented and mw[mi] not updated */
                   5306:       if(m < lastpass){ /* m < lastpass, standard case */
1.227     brouard  5307:        m++; /* mi gives the "effective" current wave, m the current wave, go to next wave by incrementing m */
1.216     brouard  5308:       }
1.309     brouard  5309:       else{ /* m = lastpass, eventual special issue with warning */
1.224     brouard  5310: #ifdef UNKNOWNSTATUSNOTCONTRIBUTING
1.227     brouard  5311:        break;
1.224     brouard  5312: #else
1.309     brouard  5313:        if(s[m][i]==-1 && (int) andc[i] == 9999 && (int)anint[m][i] != 9999){ /* case -2 (vital status unknown is warned later */
1.227     brouard  5314:          if(firsthree == 0){
1.302     brouard  5315:            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  5316:            firsthree=1;
                   5317:          }
1.302     brouard  5318:          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);
1.309     brouard  5319:          mw[++mi][i]=m; /* Valid transition with unknown status */
1.227     brouard  5320:          mli=m;
                   5321:        }
                   5322:        if(s[m][i]==-2){ /* Vital status is really unknown */
                   5323:          nbwarn++;
1.309     brouard  5324:          if((int)anint[m][i] == 9999){  /*  Has the vital status really been verified?not a transition */
1.227     brouard  5325:            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);
                   5326:            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);
                   5327:          }
                   5328:          break;
                   5329:        }
                   5330:        break;
1.224     brouard  5331: #endif
1.227     brouard  5332:       }/* End m >= lastpass */
1.126     brouard  5333:     }/* end while */
1.224     brouard  5334: 
1.227     brouard  5335:     /* 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  5336:     /* After last pass */
1.224     brouard  5337: /* Treating death states */
1.214     brouard  5338:     if (s[m][i] > nlstate){  /* In a death state */
1.227     brouard  5339:       /* if( mint[m][i]==mdc[m][i] && anint[m][i]==andc[m][i]){ /\* same date of death and date of interview *\/ */
                   5340:       /* } */
1.126     brouard  5341:       mi++;    /* Death is another wave */
                   5342:       /* if(mi==0)  never been interviewed correctly before death */
1.227     brouard  5343:       /* Only death is a correct wave */
1.126     brouard  5344:       mw[mi][i]=m;
1.257     brouard  5345:     } /* else not in a death state */
1.224     brouard  5346: #ifndef DISPATCHINGKNOWNDEATHAFTERLASTWAVE
1.257     brouard  5347:     else if ((int) andc[i] != 9999) {  /* Date of death is known */
1.218     brouard  5348:       if ((int)anint[m][i]!= 9999) { /* date of last interview is known */
1.309     brouard  5349:        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  5350:          nbwarn++;
                   5351:          if(firstfiv==0){
1.309     brouard  5352:            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  5353:            firstfiv=1;
                   5354:          }else{
1.309     brouard  5355:            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  5356:          }
1.309     brouard  5357:            s[m][i]=nlstate+1; /* Fixing the status as death. Be careful if multiple death states */
                   5358:        }else{ /* Month of Death occured afer last wave month, potential bias */
1.227     brouard  5359:          nberr++;
                   5360:          if(firstwo==0){
1.309     brouard  5361:            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  5362:            firstwo=1;
                   5363:          }
1.309     brouard  5364:          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  5365:        }
1.257     brouard  5366:       }else{ /* if date of interview is unknown */
1.227     brouard  5367:        /* death is known but not confirmed by death status at any wave */
                   5368:        if(firstfour==0){
1.309     brouard  5369:          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  5370:          firstfour=1;
                   5371:        }
1.309     brouard  5372:        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  5373:       }
1.224     brouard  5374:     } /* end if date of death is known */
                   5375: #endif
1.309     brouard  5376:     wav[i]=mi; /* mi should be the last effective wave (or mli),  */
                   5377:     /* wav[i]=mw[mi][i];   */
1.126     brouard  5378:     if(mi==0){
                   5379:       nbwarn++;
                   5380:       if(first==0){
1.227     brouard  5381:        printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   5382:        first=1;
1.126     brouard  5383:       }
                   5384:       if(first==1){
1.227     brouard  5385:        fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
1.126     brouard  5386:       }
                   5387:     } /* end mi==0 */
                   5388:   } /* End individuals */
1.214     brouard  5389:   /* wav and mw are no more changed */
1.223     brouard  5390:        
1.214     brouard  5391:   
1.126     brouard  5392:   for(i=1; i<=imx; i++){
                   5393:     for(mi=1; mi<wav[i];mi++){
                   5394:       if (stepm <=0)
1.227     brouard  5395:        dh[mi][i]=1;
1.126     brouard  5396:       else{
1.260     brouard  5397:        if (s[mw[mi+1][i]][i] > nlstate) { /* A death, but what if date is unknown? */
1.227     brouard  5398:          if (agedc[i] < 2*AGESUP) {
                   5399:            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   5400:            if(j==0) j=1;  /* Survives at least one month after exam */
                   5401:            else if(j<0){
                   5402:              nberr++;
                   5403:              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]);
                   5404:              j=1; /* Temporary Dangerous patch */
                   5405:              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);
                   5406:              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]);
                   5407:              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);
                   5408:            }
                   5409:            k=k+1;
                   5410:            if (j >= jmax){
                   5411:              jmax=j;
                   5412:              ijmax=i;
                   5413:            }
                   5414:            if (j <= jmin){
                   5415:              jmin=j;
                   5416:              ijmin=i;
                   5417:            }
                   5418:            sum=sum+j;
                   5419:            /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   5420:            /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   5421:          }
                   5422:        }
                   5423:        else{
                   5424:          j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
1.126     brouard  5425: /*       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  5426:                                        
1.227     brouard  5427:          k=k+1;
                   5428:          if (j >= jmax) {
                   5429:            jmax=j;
                   5430:            ijmax=i;
                   5431:          }
                   5432:          else if (j <= jmin){
                   5433:            jmin=j;
                   5434:            ijmin=i;
                   5435:          }
                   5436:          /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   5437:          /*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]);*/
                   5438:          if(j<0){
                   5439:            nberr++;
                   5440:            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]);
                   5441:            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]);
                   5442:          }
                   5443:          sum=sum+j;
                   5444:        }
                   5445:        jk= j/stepm;
                   5446:        jl= j -jk*stepm;
                   5447:        ju= j -(jk+1)*stepm;
                   5448:        if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   5449:          if(jl==0){
                   5450:            dh[mi][i]=jk;
                   5451:            bh[mi][i]=0;
                   5452:          }else{ /* We want a negative bias in order to only have interpolation ie
                   5453:                  * to avoid the price of an extra matrix product in likelihood */
                   5454:            dh[mi][i]=jk+1;
                   5455:            bh[mi][i]=ju;
                   5456:          }
                   5457:        }else{
                   5458:          if(jl <= -ju){
                   5459:            dh[mi][i]=jk;
                   5460:            bh[mi][i]=jl;       /* bias is positive if real duration
                   5461:                                 * is higher than the multiple of stepm and negative otherwise.
                   5462:                                 */
                   5463:          }
                   5464:          else{
                   5465:            dh[mi][i]=jk+1;
                   5466:            bh[mi][i]=ju;
                   5467:          }
                   5468:          if(dh[mi][i]==0){
                   5469:            dh[mi][i]=1; /* At least one step */
                   5470:            bh[mi][i]=ju; /* At least one step */
                   5471:            /*  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);*/
                   5472:          }
                   5473:        } /* end if mle */
1.126     brouard  5474:       }
                   5475:     } /* end wave */
                   5476:   }
                   5477:   jmean=sum/k;
                   5478:   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  5479:   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  5480: }
1.126     brouard  5481: 
                   5482: /*********** Tricode ****************************/
1.220     brouard  5483:  void tricode(int *cptcov, int *Tvar, int **nbcode, int imx, int *Ndum)
1.242     brouard  5484:  {
                   5485:    /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   5486:    /*    Tvar[i]=atoi(stre);  find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1 
                   5487:     * Boring subroutine which should only output nbcode[Tvar[j]][k]
                   5488:     * Tvar[5] in V2+V1+V3*age+V2*V4 is 4 (V4) even it is a time varying or quantitative variable
                   5489:     * nbcode[Tvar[5]][1]= nbcode[4][1]=0, nbcode[4][2]=1 (usually);
                   5490:     */
1.130     brouard  5491: 
1.242     brouard  5492:    int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
                   5493:    int modmaxcovj=0; /* Modality max of covariates j */
                   5494:    int cptcode=0; /* Modality max of covariates j */
                   5495:    int modmincovj=0; /* Modality min of covariates j */
1.145     brouard  5496: 
                   5497: 
1.242     brouard  5498:    /* cptcoveff=0;  */
                   5499:    /* *cptcov=0; */
1.126     brouard  5500:  
1.242     brouard  5501:    for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.285     brouard  5502:    for (k=1; k <= maxncov; k++)
                   5503:      for(j=1; j<=2; j++)
                   5504:        nbcode[k][j]=0; /* Valgrind */
1.126     brouard  5505: 
1.242     brouard  5506:    /* Loop on covariates without age and products and no quantitative variable */
                   5507:    for (k=1; k<=cptcovt; k++) { /* From model V1 + V2*age + V3 + V3*V4 keeps V1 + V3 = 2 only */
                   5508:      for (j=-1; (j < maxncov); j++) Ndum[j]=0;
                   5509:      if(Dummy[k]==0 && Typevar[k] !=1){ /* Dummy covariate and not age product */ 
                   5510:        switch(Fixed[k]) {
                   5511:        case 0: /* Testing on fixed dummy covariate, simple or product of fixed */
1.311     brouard  5512:         modmaxcovj=0;
                   5513:         modmincovj=0;
1.242     brouard  5514:         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*/
                   5515:           ij=(int)(covar[Tvar[k]][i]);
                   5516:           /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                   5517:            * If product of Vn*Vm, still boolean *:
                   5518:            * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                   5519:            * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
                   5520:           /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
                   5521:              modality of the nth covariate of individual i. */
                   5522:           if (ij > modmaxcovj)
                   5523:             modmaxcovj=ij; 
                   5524:           else if (ij < modmincovj) 
                   5525:             modmincovj=ij; 
1.287     brouard  5526:           if (ij <0 || ij >1 ){
1.311     brouard  5527:             printf("ERROR, IMaCh doesn't treat covariate with missing values V%d=-1, individual %d will be skipped.\n",Tvar[k],i);
                   5528:             fprintf(ficlog,"ERROR, currently IMaCh doesn't treat covariate with missing values V%d=-1, individual %d will be skipped.\n",Tvar[k],i);
                   5529:             fflush(ficlog);
                   5530:             exit(1);
1.287     brouard  5531:           }
                   5532:           if ((ij < -1) || (ij > NCOVMAX)){
1.242     brouard  5533:             printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
                   5534:             exit(1);
                   5535:           }else
                   5536:             Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
                   5537:           /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
                   5538:           /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
                   5539:           /* getting the maximum value of the modality of the covariate
                   5540:              (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
                   5541:              female ies 1, then modmaxcovj=1.
                   5542:           */
                   5543:         } /* end for loop on individuals i */
                   5544:         printf(" Minimal and maximal values of %d th (fixed) covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   5545:         fprintf(ficlog," Minimal and maximal values of %d th (fixed) covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   5546:         cptcode=modmaxcovj;
                   5547:         /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
                   5548:         /*for (i=0; i<=cptcode; i++) {*/
                   5549:         for (j=modmincovj;  j<=modmaxcovj; j++) { /* j=-1 ? 0 and 1*//* For each value j of the modality of model-cov k */
                   5550:           printf("Frequencies of (fixed) covariate %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   5551:           fprintf(ficlog, "Frequencies of (fixed) covariate %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   5552:           if( Ndum[j] != 0 ){ /* Counts if nobody answered modality j ie empty modality, we skip it and reorder */
                   5553:             if( j != -1){
                   5554:               ncodemax[k]++;  /* ncodemax[k]= Number of modalities of the k th
                   5555:                                  covariate for which somebody answered excluding 
                   5556:                                  undefined. Usually 2: 0 and 1. */
                   5557:             }
                   5558:             ncodemaxwundef[k]++; /* ncodemax[j]= Number of modalities of the k th
                   5559:                                     covariate for which somebody answered including 
                   5560:                                     undefined. Usually 3: -1, 0 and 1. */
                   5561:           }    /* In fact  ncodemax[k]=2 (dichotom. variables only) but it could be more for
                   5562:                 * historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
                   5563:         } /* Ndum[-1] number of undefined modalities */
1.231     brouard  5564:                        
1.242     brouard  5565:         /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
                   5566:         /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. */
                   5567:         /* If Ndum[1]=0, Ndum[2]=0, Ndum[3]= 635, Ndum[4]=0, Ndum[5]=0, Ndum[6]=27, Ndum[7]=125; */
                   5568:         /* modmincovj=3; modmaxcovj = 7; */
                   5569:         /* There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3; */
                   5570:         /* which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10; */
                   5571:         /*              defining two dummy variables: variables V1_1 and V1_2.*/
                   5572:         /* nbcode[Tvar[j]][ij]=k; */
                   5573:         /* nbcode[Tvar[j]][1]=0; */
                   5574:         /* nbcode[Tvar[j]][2]=1; */
                   5575:         /* nbcode[Tvar[j]][3]=2; */
                   5576:         /* To be continued (not working yet). */
                   5577:         ij=0; /* ij is similar to i but can jump over null modalities */
1.287     brouard  5578: 
                   5579:         /* 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*/
                   5580:         /* Skipping the case of missing values by reducing nbcode to 0 and 1 and not -1, 0, 1 */
                   5581:         /* model=V1+V2+V3, if V2=-1, 0 or 1, then nbcode[2][1]=0 and nbcode[2][2]=1 instead of
                   5582:          * nbcode[2][1]=-1, nbcode[2][2]=0 and nbcode[2][3]=1 */
                   5583:         /*, could be restored in the future */
                   5584:         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  5585:           if (Ndum[i] == 0) { /* If nobody responded to this modality k */
                   5586:             break;
                   5587:           }
                   5588:           ij++;
1.287     brouard  5589:           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  5590:           cptcode = ij; /* New max modality for covar j */
                   5591:         } /* end of loop on modality i=-1 to 1 or more */
                   5592:         break;
                   5593:        case 1: /* Testing on varying covariate, could be simple and
                   5594:                * should look at waves or product of fixed *
                   5595:                * varying. No time to test -1, assuming 0 and 1 only */
                   5596:         ij=0;
                   5597:         for(i=0; i<=1;i++){
                   5598:           nbcode[Tvar[k]][++ij]=i;
                   5599:         }
                   5600:         break;
                   5601:        default:
                   5602:         break;
                   5603:        } /* end switch */
                   5604:      } /* end dummy test */
1.311     brouard  5605:      if(Dummy[k]==1 && Typevar[k] !=1){ /* Dummy covariate and not age product */ 
                   5606:        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*/
                   5607:         if(isnan(covar[Tvar[k]][i])){
                   5608:           printf("ERROR, IMaCh doesn't treat fixed quantitative covariate with missing values V%d=., individual %d will be skipped.\n",Tvar[k],i);
                   5609:           fprintf(ficlog,"ERROR, currently IMaCh doesn't treat covariate with missing values V%d=., individual %d will be skipped.\n",Tvar[k],i);
                   5610:           fflush(ficlog);
                   5611:           exit(1);
                   5612:          }
                   5613:        }
                   5614:      }
1.287     brouard  5615:    } /* 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  5616:   
                   5617:    for (k=-1; k< maxncov; k++) Ndum[k]=0; 
                   5618:    /* Look at fixed dummy (single or product) covariates to check empty modalities */
                   5619:    for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
                   5620:      /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
                   5621:      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 */ 
                   5622:      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 */
                   5623:      /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1,  {2, 1, 1, 1, 2, 1, 1, 0, 0} */
                   5624:    } /* V4+V3+V5, Ndum[1]@5={0, 0, 1, 1, 1} */
                   5625:   
                   5626:    ij=0;
                   5627:    /* for (i=0; i<=  maxncov-1; i++) { /\* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) *\/ */
                   5628:    for (k=1; k<=  cptcovt; k++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
                   5629:      /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
                   5630:      /* if((Ndum[i]!=0) && (i<=ncovcol)){  /\* Tvar[i] <= ncovmodel ? *\/ */
                   5631:      if(Ndum[Tvar[k]]!=0 && Dummy[k] == 0 && Typevar[k]==0){  /* Only Dummy and non empty in the model */
                   5632:        /* If product not in single variable we don't print results */
                   5633:        /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
                   5634:        ++ij;/* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, */
                   5635:        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*/
                   5636:        Tmodelind[ij]=k; /* Tmodelind: index in model of dummies Tmodelind[1]=2 V4: pos=2; V3: pos=3, V1=9 {2, 3, 9, ?, ?,} */
                   5637:        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 */
                   5638:        if(Fixed[k]!=0)
                   5639:         anyvaryingduminmodel=1;
                   5640:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv)){ */
                   5641:        /*   Tvaraff[++ij]=-10; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   5642:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv)){ */
                   5643:        /*   Tvaraff[++ij]=i; /\*For printing (unclear) *\/ */
                   5644:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv+nqtv)){ */
                   5645:        /*   Tvaraff[++ij]=-20; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   5646:      } 
                   5647:    } /* Tvaraff[1]@5 {3, 4, -20, 0, 0} Very strange */
                   5648:    /* ij--; */
                   5649:    /* cptcoveff=ij; /\*Number of total covariates*\/ */
                   5650:    *cptcov=ij; /*Number of total real effective covariates: effective
                   5651:                * because they can be excluded from the model and real
                   5652:                * if in the model but excluded because missing values, but how to get k from ij?*/
                   5653:    for(j=ij+1; j<= cptcovt; j++){
                   5654:      Tvaraff[j]=0;
                   5655:      Tmodelind[j]=0;
                   5656:    }
                   5657:    for(j=ntveff+1; j<= cptcovt; j++){
                   5658:      TmodelInvind[j]=0;
                   5659:    }
                   5660:    /* To be sorted */
                   5661:    ;
                   5662:  }
1.126     brouard  5663: 
1.145     brouard  5664: 
1.126     brouard  5665: /*********** Health Expectancies ****************/
                   5666: 
1.235     brouard  5667:  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  5668: 
                   5669: {
                   5670:   /* Health expectancies, no variances */
1.164     brouard  5671:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  5672:   int nhstepma, nstepma; /* Decreasing with age */
                   5673:   double age, agelim, hf;
                   5674:   double ***p3mat;
                   5675:   double eip;
                   5676: 
1.238     brouard  5677:   /* pstamp(ficreseij); */
1.126     brouard  5678:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   5679:   fprintf(ficreseij,"# Age");
                   5680:   for(i=1; i<=nlstate;i++){
                   5681:     for(j=1; j<=nlstate;j++){
                   5682:       fprintf(ficreseij," e%1d%1d ",i,j);
                   5683:     }
                   5684:     fprintf(ficreseij," e%1d. ",i);
                   5685:   }
                   5686:   fprintf(ficreseij,"\n");
                   5687: 
                   5688:   
                   5689:   if(estepm < stepm){
                   5690:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   5691:   }
                   5692:   else  hstepm=estepm;   
                   5693:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   5694:    * This is mainly to measure the difference between two models: for example
                   5695:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   5696:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   5697:    * progression in between and thus overestimating or underestimating according
                   5698:    * to the curvature of the survival function. If, for the same date, we 
                   5699:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   5700:    * to compare the new estimate of Life expectancy with the same linear 
                   5701:    * hypothesis. A more precise result, taking into account a more precise
                   5702:    * curvature will be obtained if estepm is as small as stepm. */
                   5703: 
                   5704:   /* For example we decided to compute the life expectancy with the smallest unit */
                   5705:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5706:      nhstepm is the number of hstepm from age to agelim 
                   5707:      nstepm is the number of stepm from age to agelin. 
1.270     brouard  5708:      Look at hpijx to understand the reason which relies in memory size consideration
1.126     brouard  5709:      and note for a fixed period like estepm months */
                   5710:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   5711:      survival function given by stepm (the optimization length). Unfortunately it
                   5712:      means that if the survival funtion is printed only each two years of age and if
                   5713:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5714:      results. So we changed our mind and took the option of the best precision.
                   5715:   */
                   5716:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5717: 
                   5718:   agelim=AGESUP;
                   5719:   /* If stepm=6 months */
                   5720:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   5721:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   5722:     
                   5723: /* nhstepm age range expressed in number of stepm */
                   5724:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5725:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5726:   /* if (stepm >= YEARM) hstepm=1;*/
                   5727:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5728:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5729: 
                   5730:   for (age=bage; age<=fage; age ++){ 
                   5731:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5732:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5733:     /* if (stepm >= YEARM) hstepm=1;*/
                   5734:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   5735: 
                   5736:     /* If stepm=6 months */
                   5737:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   5738:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   5739:     
1.235     brouard  5740:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij, nres);  
1.126     brouard  5741:     
                   5742:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   5743:     
                   5744:     printf("%d|",(int)age);fflush(stdout);
                   5745:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   5746:     
                   5747:     /* Computing expectancies */
                   5748:     for(i=1; i<=nlstate;i++)
                   5749:       for(j=1; j<=nlstate;j++)
                   5750:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   5751:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   5752:          
                   5753:          /* 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]);*/
                   5754: 
                   5755:        }
                   5756: 
                   5757:     fprintf(ficreseij,"%3.0f",age );
                   5758:     for(i=1; i<=nlstate;i++){
                   5759:       eip=0;
                   5760:       for(j=1; j<=nlstate;j++){
                   5761:        eip +=eij[i][j][(int)age];
                   5762:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   5763:       }
                   5764:       fprintf(ficreseij,"%9.4f", eip );
                   5765:     }
                   5766:     fprintf(ficreseij,"\n");
                   5767:     
                   5768:   }
                   5769:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5770:   printf("\n");
                   5771:   fprintf(ficlog,"\n");
                   5772:   
                   5773: }
                   5774: 
1.235     brouard  5775:  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  5776: 
                   5777: {
                   5778:   /* Covariances of health expectancies eij and of total life expectancies according
1.222     brouard  5779:      to initial status i, ei. .
1.126     brouard  5780:   */
                   5781:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   5782:   int nhstepma, nstepma; /* Decreasing with age */
                   5783:   double age, agelim, hf;
                   5784:   double ***p3matp, ***p3matm, ***varhe;
                   5785:   double **dnewm,**doldm;
                   5786:   double *xp, *xm;
                   5787:   double **gp, **gm;
                   5788:   double ***gradg, ***trgradg;
                   5789:   int theta;
                   5790: 
                   5791:   double eip, vip;
                   5792: 
                   5793:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   5794:   xp=vector(1,npar);
                   5795:   xm=vector(1,npar);
                   5796:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   5797:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   5798:   
                   5799:   pstamp(ficresstdeij);
                   5800:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   5801:   fprintf(ficresstdeij,"# Age");
                   5802:   for(i=1; i<=nlstate;i++){
                   5803:     for(j=1; j<=nlstate;j++)
                   5804:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   5805:     fprintf(ficresstdeij," e%1d. ",i);
                   5806:   }
                   5807:   fprintf(ficresstdeij,"\n");
                   5808: 
                   5809:   pstamp(ficrescveij);
                   5810:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   5811:   fprintf(ficrescveij,"# Age");
                   5812:   for(i=1; i<=nlstate;i++)
                   5813:     for(j=1; j<=nlstate;j++){
                   5814:       cptj= (j-1)*nlstate+i;
                   5815:       for(i2=1; i2<=nlstate;i2++)
                   5816:        for(j2=1; j2<=nlstate;j2++){
                   5817:          cptj2= (j2-1)*nlstate+i2;
                   5818:          if(cptj2 <= cptj)
                   5819:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   5820:        }
                   5821:     }
                   5822:   fprintf(ficrescveij,"\n");
                   5823:   
                   5824:   if(estepm < stepm){
                   5825:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   5826:   }
                   5827:   else  hstepm=estepm;   
                   5828:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   5829:    * This is mainly to measure the difference between two models: for example
                   5830:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   5831:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   5832:    * progression in between and thus overestimating or underestimating according
                   5833:    * to the curvature of the survival function. If, for the same date, we 
                   5834:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   5835:    * to compare the new estimate of Life expectancy with the same linear 
                   5836:    * hypothesis. A more precise result, taking into account a more precise
                   5837:    * curvature will be obtained if estepm is as small as stepm. */
                   5838: 
                   5839:   /* For example we decided to compute the life expectancy with the smallest unit */
                   5840:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5841:      nhstepm is the number of hstepm from age to agelim 
                   5842:      nstepm is the number of stepm from age to agelin. 
                   5843:      Look at hpijx to understand the reason of that which relies in memory size
                   5844:      and note for a fixed period like estepm months */
                   5845:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   5846:      survival function given by stepm (the optimization length). Unfortunately it
                   5847:      means that if the survival funtion is printed only each two years of age and if
                   5848:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5849:      results. So we changed our mind and took the option of the best precision.
                   5850:   */
                   5851:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5852: 
                   5853:   /* If stepm=6 months */
                   5854:   /* nhstepm age range expressed in number of stepm */
                   5855:   agelim=AGESUP;
                   5856:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   5857:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5858:   /* if (stepm >= YEARM) hstepm=1;*/
                   5859:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5860:   
                   5861:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5862:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5863:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   5864:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   5865:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   5866:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   5867: 
                   5868:   for (age=bage; age<=fage; age ++){ 
                   5869:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5870:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5871:     /* if (stepm >= YEARM) hstepm=1;*/
                   5872:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
1.218     brouard  5873:                
1.126     brouard  5874:     /* If stepm=6 months */
                   5875:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   5876:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   5877:     
                   5878:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
1.218     brouard  5879:                
1.126     brouard  5880:     /* Computing  Variances of health expectancies */
                   5881:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   5882:        decrease memory allocation */
                   5883:     for(theta=1; theta <=npar; theta++){
                   5884:       for(i=1; i<=npar; i++){ 
1.222     brouard  5885:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5886:        xm[i] = x[i] - (i==theta ?delti[theta]:0);
1.126     brouard  5887:       }
1.235     brouard  5888:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij, nres);  
                   5889:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij, nres);  
1.218     brouard  5890:                        
1.126     brouard  5891:       for(j=1; j<= nlstate; j++){
1.222     brouard  5892:        for(i=1; i<=nlstate; i++){
                   5893:          for(h=0; h<=nhstepm-1; h++){
                   5894:            gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
                   5895:            gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
                   5896:          }
                   5897:        }
1.126     brouard  5898:       }
1.218     brouard  5899:                        
1.126     brouard  5900:       for(ij=1; ij<= nlstate*nlstate; ij++)
1.222     brouard  5901:        for(h=0; h<=nhstepm-1; h++){
                   5902:          gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
                   5903:        }
1.126     brouard  5904:     }/* End theta */
                   5905:     
                   5906:     
                   5907:     for(h=0; h<=nhstepm-1; h++)
                   5908:       for(j=1; j<=nlstate*nlstate;j++)
1.222     brouard  5909:        for(theta=1; theta <=npar; theta++)
                   5910:          trgradg[h][j][theta]=gradg[h][theta][j];
1.126     brouard  5911:     
1.218     brouard  5912:                
1.222     brouard  5913:     for(ij=1;ij<=nlstate*nlstate;ij++)
1.126     brouard  5914:       for(ji=1;ji<=nlstate*nlstate;ji++)
1.222     brouard  5915:        varhe[ij][ji][(int)age] =0.;
1.218     brouard  5916:                
1.222     brouard  5917:     printf("%d|",(int)age);fflush(stdout);
                   5918:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   5919:     for(h=0;h<=nhstepm-1;h++){
1.126     brouard  5920:       for(k=0;k<=nhstepm-1;k++){
1.222     brouard  5921:        matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
                   5922:        matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
                   5923:        for(ij=1;ij<=nlstate*nlstate;ij++)
                   5924:          for(ji=1;ji<=nlstate*nlstate;ji++)
                   5925:            varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
1.126     brouard  5926:       }
                   5927:     }
1.218     brouard  5928:                
1.126     brouard  5929:     /* Computing expectancies */
1.235     brouard  5930:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij,nres);  
1.126     brouard  5931:     for(i=1; i<=nlstate;i++)
                   5932:       for(j=1; j<=nlstate;j++)
1.222     brouard  5933:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   5934:          eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
1.218     brouard  5935:                                        
1.222     brouard  5936:          /* 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  5937:                                        
1.222     brouard  5938:        }
1.269     brouard  5939: 
                   5940:     /* Standard deviation of expectancies ij */                
1.126     brouard  5941:     fprintf(ficresstdeij,"%3.0f",age );
                   5942:     for(i=1; i<=nlstate;i++){
                   5943:       eip=0.;
                   5944:       vip=0.;
                   5945:       for(j=1; j<=nlstate;j++){
1.222     brouard  5946:        eip += eij[i][j][(int)age];
                   5947:        for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
                   5948:          vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
                   5949:        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  5950:       }
                   5951:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   5952:     }
                   5953:     fprintf(ficresstdeij,"\n");
1.218     brouard  5954:                
1.269     brouard  5955:     /* Variance of expectancies ij */          
1.126     brouard  5956:     fprintf(ficrescveij,"%3.0f",age );
                   5957:     for(i=1; i<=nlstate;i++)
                   5958:       for(j=1; j<=nlstate;j++){
1.222     brouard  5959:        cptj= (j-1)*nlstate+i;
                   5960:        for(i2=1; i2<=nlstate;i2++)
                   5961:          for(j2=1; j2<=nlstate;j2++){
                   5962:            cptj2= (j2-1)*nlstate+i2;
                   5963:            if(cptj2 <= cptj)
                   5964:              fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
                   5965:          }
1.126     brouard  5966:       }
                   5967:     fprintf(ficrescveij,"\n");
1.218     brouard  5968:                
1.126     brouard  5969:   }
                   5970:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   5971:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   5972:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   5973:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   5974:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5975:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5976:   printf("\n");
                   5977:   fprintf(ficlog,"\n");
1.218     brouard  5978:        
1.126     brouard  5979:   free_vector(xm,1,npar);
                   5980:   free_vector(xp,1,npar);
                   5981:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   5982:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   5983:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   5984: }
1.218     brouard  5985:  
1.126     brouard  5986: /************ Variance ******************/
1.235     brouard  5987:  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  5988:  {
1.279     brouard  5989:    /** Variance of health expectancies 
                   5990:     *  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);
                   5991:     * double **newm;
                   5992:     * int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav) 
                   5993:     */
1.218     brouard  5994:   
                   5995:    /* int movingaverage(); */
                   5996:    double **dnewm,**doldm;
                   5997:    double **dnewmp,**doldmp;
                   5998:    int i, j, nhstepm, hstepm, h, nstepm ;
1.288     brouard  5999:    int first=0;
1.218     brouard  6000:    int k;
                   6001:    double *xp;
1.279     brouard  6002:    double **gp, **gm;  /**< for var eij */
                   6003:    double ***gradg, ***trgradg; /**< for var eij */
                   6004:    double **gradgp, **trgradgp; /**< for var p point j */
                   6005:    double *gpp, *gmp; /**< for var p point j */
                   6006:    double **varppt; /**< for var p point j nlstate to nlstate+ndeath */
1.218     brouard  6007:    double ***p3mat;
                   6008:    double age,agelim, hf;
                   6009:    /* double ***mobaverage; */
                   6010:    int theta;
                   6011:    char digit[4];
                   6012:    char digitp[25];
                   6013: 
                   6014:    char fileresprobmorprev[FILENAMELENGTH];
                   6015: 
                   6016:    if(popbased==1){
                   6017:      if(mobilav!=0)
                   6018:        strcpy(digitp,"-POPULBASED-MOBILAV_");
                   6019:      else strcpy(digitp,"-POPULBASED-NOMOBIL_");
                   6020:    }
                   6021:    else 
                   6022:      strcpy(digitp,"-STABLBASED_");
1.126     brouard  6023: 
1.218     brouard  6024:    /* if (mobilav!=0) { */
                   6025:    /*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   6026:    /*   if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){ */
                   6027:    /*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */
                   6028:    /*     printf(" Error in movingaverage mobilav=%d\n",mobilav); */
                   6029:    /*   } */
                   6030:    /* } */
                   6031: 
                   6032:    strcpy(fileresprobmorprev,"PRMORPREV-"); 
                   6033:    sprintf(digit,"%-d",ij);
                   6034:    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
                   6035:    strcat(fileresprobmorprev,digit); /* Tvar to be done */
                   6036:    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
                   6037:    strcat(fileresprobmorprev,fileresu);
                   6038:    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
                   6039:      printf("Problem with resultfile: %s\n", fileresprobmorprev);
                   6040:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
                   6041:    }
                   6042:    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   6043:    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   6044:    pstamp(ficresprobmorprev);
                   6045:    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  6046:    fprintf(ficresprobmorprev,"# Selected quantitative variables and dummies");
                   6047:    for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   6048:      fprintf(ficresprobmorprev," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   6049:    }
                   6050:    for(j=1;j<=cptcoveff;j++) 
                   6051:      fprintf(ficresprobmorprev,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(ij,j)]);
                   6052:    fprintf(ficresprobmorprev,"\n");
                   6053: 
1.218     brouard  6054:    fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
                   6055:    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   6056:      fprintf(ficresprobmorprev," p.%-d SE",j);
                   6057:      for(i=1; i<=nlstate;i++)
                   6058:        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
                   6059:    }  
                   6060:    fprintf(ficresprobmorprev,"\n");
                   6061:   
                   6062:    fprintf(ficgp,"\n# Routine varevsij");
                   6063:    fprintf(ficgp,"\nunset title \n");
                   6064:    /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
                   6065:    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");
                   6066:    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
1.279     brouard  6067: 
1.218     brouard  6068:    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6069:    pstamp(ficresvij);
                   6070:    fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
                   6071:    if(popbased==1)
                   6072:      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);
                   6073:    else
                   6074:      fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
                   6075:    fprintf(ficresvij,"# Age");
                   6076:    for(i=1; i<=nlstate;i++)
                   6077:      for(j=1; j<=nlstate;j++)
                   6078:        fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
                   6079:    fprintf(ficresvij,"\n");
                   6080: 
                   6081:    xp=vector(1,npar);
                   6082:    dnewm=matrix(1,nlstate,1,npar);
                   6083:    doldm=matrix(1,nlstate,1,nlstate);
                   6084:    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
                   6085:    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6086: 
                   6087:    gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
                   6088:    gpp=vector(nlstate+1,nlstate+ndeath);
                   6089:    gmp=vector(nlstate+1,nlstate+ndeath);
                   6090:    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.126     brouard  6091:   
1.218     brouard  6092:    if(estepm < stepm){
                   6093:      printf ("Problem %d lower than %d\n",estepm, stepm);
                   6094:    }
                   6095:    else  hstepm=estepm;   
                   6096:    /* For example we decided to compute the life expectancy with the smallest unit */
                   6097:    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   6098:       nhstepm is the number of hstepm from age to agelim 
                   6099:       nstepm is the number of stepm from age to agelim. 
                   6100:       Look at function hpijx to understand why because of memory size limitations, 
                   6101:       we decided (b) to get a life expectancy respecting the most precise curvature of the
                   6102:       survival function given by stepm (the optimization length). Unfortunately it
                   6103:       means that if the survival funtion is printed every two years of age and if
                   6104:       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   6105:       results. So we changed our mind and took the option of the best precision.
                   6106:    */
                   6107:    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   6108:    agelim = AGESUP;
                   6109:    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   6110:      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6111:      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   6112:      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6113:      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
                   6114:      gp=matrix(0,nhstepm,1,nlstate);
                   6115:      gm=matrix(0,nhstepm,1,nlstate);
                   6116:                
                   6117:                
                   6118:      for(theta=1; theta <=npar; theta++){
                   6119:        for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
                   6120:         xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6121:        }
1.279     brouard  6122:        /**< Computes the prevalence limit with parameter theta shifted of delta up to ftolpl precision and 
                   6123:        * returns into prlim .
1.288     brouard  6124:        */
1.242     brouard  6125:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij, nres);
1.279     brouard  6126: 
                   6127:        /* If popbased = 1 we use crossection prevalences. Previous step is useless but prlim is created */
1.218     brouard  6128:        if (popbased==1) {
                   6129:         if(mobilav ==0){
                   6130:           for(i=1; i<=nlstate;i++)
                   6131:             prlim[i][i]=probs[(int)age][i][ij];
                   6132:         }else{ /* mobilav */ 
                   6133:           for(i=1; i<=nlstate;i++)
                   6134:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   6135:         }
                   6136:        }
1.295     brouard  6137:        /**< Computes the shifted transition matrix \f$ {}{h}_p^{ij}x\f$ at horizon h.
1.279     brouard  6138:        */                      
                   6139:        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  6140:        /**< 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  6141:        * at horizon h in state j including mortality.
                   6142:        */
1.218     brouard  6143:        for(j=1; j<= nlstate; j++){
                   6144:         for(h=0; h<=nhstepm; h++){
                   6145:           for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                   6146:             gp[h][j] += prlim[i][i]*p3mat[i][j][h];
                   6147:         }
                   6148:        }
1.279     brouard  6149:        /* Next for computing shifted+ probability of death (h=1 means
1.218     brouard  6150:          computed over hstepm matrices product = hstepm*stepm months) 
1.279     brouard  6151:          as a weighted average of prlim(i) * p(i,j) p.3=w1*p13 + w2*p23 .
1.218     brouard  6152:        */
                   6153:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6154:         for(i=1,gpp[j]=0.; i<= nlstate; i++)
                   6155:           gpp[j] += prlim[i][i]*p3mat[i][j][1];
1.279     brouard  6156:        }
                   6157:        
                   6158:        /* Again with minus shift */
1.218     brouard  6159:                        
                   6160:        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
                   6161:         xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.288     brouard  6162: 
1.242     brouard  6163:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp, ij, nres);
1.218     brouard  6164:                        
                   6165:        if (popbased==1) {
                   6166:         if(mobilav ==0){
                   6167:           for(i=1; i<=nlstate;i++)
                   6168:             prlim[i][i]=probs[(int)age][i][ij];
                   6169:         }else{ /* mobilav */ 
                   6170:           for(i=1; i<=nlstate;i++)
                   6171:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   6172:         }
                   6173:        }
                   6174:                        
1.235     brouard  6175:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij,nres);  
1.218     brouard  6176:                        
                   6177:        for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
                   6178:         for(h=0; h<=nhstepm; h++){
                   6179:           for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                   6180:             gm[h][j] += prlim[i][i]*p3mat[i][j][h];
                   6181:         }
                   6182:        }
                   6183:        /* This for computing probability of death (h=1 means
                   6184:          computed over hstepm matrices product = hstepm*stepm months) 
                   6185:          as a weighted average of prlim.
                   6186:        */
                   6187:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6188:         for(i=1,gmp[j]=0.; i<= nlstate; i++)
                   6189:           gmp[j] += prlim[i][i]*p3mat[i][j][1];
                   6190:        }    
1.279     brouard  6191:        /* end shifting computations */
                   6192: 
                   6193:        /**< Computing gradient matrix at horizon h 
                   6194:        */
1.218     brouard  6195:        for(j=1; j<= nlstate; j++) /* vareij */
                   6196:         for(h=0; h<=nhstepm; h++){
                   6197:           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
                   6198:         }
1.279     brouard  6199:        /**< Gradient of overall mortality p.3 (or p.j) 
                   6200:        */
                   6201:        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu mortality from j */
1.218     brouard  6202:         gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
                   6203:        }
                   6204:                        
                   6205:      } /* End theta */
1.279     brouard  6206:      
                   6207:      /* We got the gradient matrix for each theta and state j */               
1.218     brouard  6208:      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
                   6209:                
                   6210:      for(h=0; h<=nhstepm; h++) /* veij */
                   6211:        for(j=1; j<=nlstate;j++)
                   6212:         for(theta=1; theta <=npar; theta++)
                   6213:           trgradg[h][j][theta]=gradg[h][theta][j];
                   6214:                
                   6215:      for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                   6216:        for(theta=1; theta <=npar; theta++)
                   6217:         trgradgp[j][theta]=gradgp[theta][j];
1.279     brouard  6218:      /**< as well as its transposed matrix 
                   6219:       */               
1.218     brouard  6220:                
                   6221:      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   6222:      for(i=1;i<=nlstate;i++)
                   6223:        for(j=1;j<=nlstate;j++)
                   6224:         vareij[i][j][(int)age] =0.;
1.279     brouard  6225: 
                   6226:      /* Computing trgradg by matcov by gradg at age and summing over h
                   6227:       * and k (nhstepm) formula 15 of article
                   6228:       * Lievre-Brouard-Heathcote
                   6229:       */
                   6230:      
1.218     brouard  6231:      for(h=0;h<=nhstepm;h++){
                   6232:        for(k=0;k<=nhstepm;k++){
                   6233:         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
                   6234:         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
                   6235:         for(i=1;i<=nlstate;i++)
                   6236:           for(j=1;j<=nlstate;j++)
                   6237:             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
                   6238:        }
                   6239:      }
                   6240:                
1.279     brouard  6241:      /* pptj is p.3 or p.j = trgradgp by cov by gradgp, variance of
                   6242:       * p.j overall mortality formula 49 but computed directly because
                   6243:       * we compute the grad (wix pijx) instead of grad (pijx),even if
                   6244:       * wix is independent of theta.
                   6245:       */
1.218     brouard  6246:      matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
                   6247:      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
                   6248:      for(j=nlstate+1;j<=nlstate+ndeath;j++)
                   6249:        for(i=nlstate+1;i<=nlstate+ndeath;i++)
                   6250:         varppt[j][i]=doldmp[j][i];
                   6251:      /* end ppptj */
                   6252:      /*  x centered again */
                   6253:                
1.242     brouard  6254:      prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyearp,ij, nres);
1.218     brouard  6255:                
                   6256:      if (popbased==1) {
                   6257:        if(mobilav ==0){
                   6258:         for(i=1; i<=nlstate;i++)
                   6259:           prlim[i][i]=probs[(int)age][i][ij];
                   6260:        }else{ /* mobilav */ 
                   6261:         for(i=1; i<=nlstate;i++)
                   6262:           prlim[i][i]=mobaverage[(int)age][i][ij];
                   6263:        }
                   6264:      }
                   6265:                
                   6266:      /* This for computing probability of death (h=1 means
                   6267:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
                   6268:        as a weighted average of prlim.
                   6269:      */
1.235     brouard  6270:      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij, nres);  
1.218     brouard  6271:      for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6272:        for(i=1,gmp[j]=0.;i<= nlstate; i++) 
                   6273:         gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
                   6274:      }    
                   6275:      /* end probability of death */
                   6276:                
                   6277:      fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
                   6278:      for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   6279:        fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
                   6280:        for(i=1; i<=nlstate;i++){
                   6281:         fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
                   6282:        }
                   6283:      } 
                   6284:      fprintf(ficresprobmorprev,"\n");
                   6285:                
                   6286:      fprintf(ficresvij,"%.0f ",age );
                   6287:      for(i=1; i<=nlstate;i++)
                   6288:        for(j=1; j<=nlstate;j++){
                   6289:         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
                   6290:        }
                   6291:      fprintf(ficresvij,"\n");
                   6292:      free_matrix(gp,0,nhstepm,1,nlstate);
                   6293:      free_matrix(gm,0,nhstepm,1,nlstate);
                   6294:      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
                   6295:      free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
                   6296:      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6297:    } /* End age */
                   6298:    free_vector(gpp,nlstate+1,nlstate+ndeath);
                   6299:    free_vector(gmp,nlstate+1,nlstate+ndeath);
                   6300:    free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
                   6301:    free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
                   6302:    /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
                   6303:    fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
                   6304:    /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
                   6305:    fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
                   6306:    fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
                   6307:    /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
                   6308:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   6309:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   6310:    fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
                   6311:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
                   6312:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
                   6313:    fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
                   6314:    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);
                   6315:    /*  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  6316:     */
1.218     brouard  6317:    /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
                   6318:    fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  6319: 
1.218     brouard  6320:    free_vector(xp,1,npar);
                   6321:    free_matrix(doldm,1,nlstate,1,nlstate);
                   6322:    free_matrix(dnewm,1,nlstate,1,npar);
                   6323:    free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6324:    free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
                   6325:    free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6326:    /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   6327:    fclose(ficresprobmorprev);
                   6328:    fflush(ficgp);
                   6329:    fflush(fichtm); 
                   6330:  }  /* end varevsij */
1.126     brouard  6331: 
                   6332: /************ Variance of prevlim ******************/
1.269     brouard  6333:  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  6334: {
1.205     brouard  6335:   /* Variance of prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
1.126     brouard  6336:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  6337: 
1.268     brouard  6338:   double **dnewmpar,**doldm;
1.126     brouard  6339:   int i, j, nhstepm, hstepm;
                   6340:   double *xp;
                   6341:   double *gp, *gm;
                   6342:   double **gradg, **trgradg;
1.208     brouard  6343:   double **mgm, **mgp;
1.126     brouard  6344:   double age,agelim;
                   6345:   int theta;
                   6346:   
                   6347:   pstamp(ficresvpl);
1.288     brouard  6348:   fprintf(ficresvpl,"# Standard deviation of period (forward stable) prevalences \n");
1.241     brouard  6349:   fprintf(ficresvpl,"# Age ");
                   6350:   if(nresult >=1)
                   6351:     fprintf(ficresvpl," Result# ");
1.126     brouard  6352:   for(i=1; i<=nlstate;i++)
                   6353:       fprintf(ficresvpl," %1d-%1d",i,i);
                   6354:   fprintf(ficresvpl,"\n");
                   6355: 
                   6356:   xp=vector(1,npar);
1.268     brouard  6357:   dnewmpar=matrix(1,nlstate,1,npar);
1.126     brouard  6358:   doldm=matrix(1,nlstate,1,nlstate);
                   6359:   
                   6360:   hstepm=1*YEARM; /* Every year of age */
                   6361:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   6362:   agelim = AGESUP;
                   6363:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   6364:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6365:     if (stepm >= YEARM) hstepm=1;
                   6366:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6367:     gradg=matrix(1,npar,1,nlstate);
1.208     brouard  6368:     mgp=matrix(1,npar,1,nlstate);
                   6369:     mgm=matrix(1,npar,1,nlstate);
1.126     brouard  6370:     gp=vector(1,nlstate);
                   6371:     gm=vector(1,nlstate);
                   6372: 
                   6373:     for(theta=1; theta <=npar; theta++){
                   6374:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   6375:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6376:       }
1.288     brouard  6377:       /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */
                   6378:       /*       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */
                   6379:       /* else */
                   6380:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
1.208     brouard  6381:       for(i=1;i<=nlstate;i++){
1.126     brouard  6382:        gp[i] = prlim[i][i];
1.208     brouard  6383:        mgp[theta][i] = prlim[i][i];
                   6384:       }
1.126     brouard  6385:       for(i=1; i<=npar; i++) /* Computes gradient */
                   6386:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.288     brouard  6387:       /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */
                   6388:       /*       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */
                   6389:       /* else */
                   6390:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
1.208     brouard  6391:       for(i=1;i<=nlstate;i++){
1.126     brouard  6392:        gm[i] = prlim[i][i];
1.208     brouard  6393:        mgm[theta][i] = prlim[i][i];
                   6394:       }
1.126     brouard  6395:       for(i=1;i<=nlstate;i++)
                   6396:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
1.209     brouard  6397:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
1.126     brouard  6398:     } /* End theta */
                   6399: 
                   6400:     trgradg =matrix(1,nlstate,1,npar);
                   6401: 
                   6402:     for(j=1; j<=nlstate;j++)
                   6403:       for(theta=1; theta <=npar; theta++)
                   6404:        trgradg[j][theta]=gradg[theta][j];
1.209     brouard  6405:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6406:     /*   printf("\nmgm mgp %d ",(int)age); */
                   6407:     /*   for(j=1; j<=nlstate;j++){ */
                   6408:     /*         printf(" %d ",j); */
                   6409:     /*         for(theta=1; theta <=npar; theta++) */
                   6410:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   6411:     /*         printf("\n "); */
                   6412:     /*   } */
                   6413:     /* } */
                   6414:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6415:     /*   printf("\n gradg %d ",(int)age); */
                   6416:     /*   for(j=1; j<=nlstate;j++){ */
                   6417:     /*         printf("%d ",j); */
                   6418:     /*         for(theta=1; theta <=npar; theta++) */
                   6419:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   6420:     /*         printf("\n "); */
                   6421:     /*   } */
                   6422:     /* } */
1.126     brouard  6423: 
                   6424:     for(i=1;i<=nlstate;i++)
                   6425:       varpl[i][(int)age] =0.;
1.209     brouard  6426:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
1.268     brouard  6427:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6428:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  6429:     }else{
1.268     brouard  6430:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6431:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  6432:     }
1.126     brouard  6433:     for(i=1;i<=nlstate;i++)
                   6434:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   6435: 
                   6436:     fprintf(ficresvpl,"%.0f ",age );
1.241     brouard  6437:     if(nresult >=1)
                   6438:       fprintf(ficresvpl,"%d ",nres );
1.288     brouard  6439:     for(i=1; i<=nlstate;i++){
1.126     brouard  6440:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
1.288     brouard  6441:       /* for(j=1;j<=nlstate;j++) */
                   6442:       /*       fprintf(ficresvpl," %d %.5f ",j,prlim[j][i]); */
                   6443:     }
1.126     brouard  6444:     fprintf(ficresvpl,"\n");
                   6445:     free_vector(gp,1,nlstate);
                   6446:     free_vector(gm,1,nlstate);
1.208     brouard  6447:     free_matrix(mgm,1,npar,1,nlstate);
                   6448:     free_matrix(mgp,1,npar,1,nlstate);
1.126     brouard  6449:     free_matrix(gradg,1,npar,1,nlstate);
                   6450:     free_matrix(trgradg,1,nlstate,1,npar);
                   6451:   } /* End age */
                   6452: 
                   6453:   free_vector(xp,1,npar);
                   6454:   free_matrix(doldm,1,nlstate,1,npar);
1.268     brouard  6455:   free_matrix(dnewmpar,1,nlstate,1,nlstate);
                   6456: 
                   6457: }
                   6458: 
                   6459: 
                   6460: /************ Variance of backprevalence limit ******************/
1.269     brouard  6461:  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  6462: {
                   6463:   /* Variance of backward prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
                   6464:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
                   6465: 
                   6466:   double **dnewmpar,**doldm;
                   6467:   int i, j, nhstepm, hstepm;
                   6468:   double *xp;
                   6469:   double *gp, *gm;
                   6470:   double **gradg, **trgradg;
                   6471:   double **mgm, **mgp;
                   6472:   double age,agelim;
                   6473:   int theta;
                   6474:   
                   6475:   pstamp(ficresvbl);
                   6476:   fprintf(ficresvbl,"# Standard deviation of back (stable) prevalences \n");
                   6477:   fprintf(ficresvbl,"# Age ");
                   6478:   if(nresult >=1)
                   6479:     fprintf(ficresvbl," Result# ");
                   6480:   for(i=1; i<=nlstate;i++)
                   6481:       fprintf(ficresvbl," %1d-%1d",i,i);
                   6482:   fprintf(ficresvbl,"\n");
                   6483: 
                   6484:   xp=vector(1,npar);
                   6485:   dnewmpar=matrix(1,nlstate,1,npar);
                   6486:   doldm=matrix(1,nlstate,1,nlstate);
                   6487:   
                   6488:   hstepm=1*YEARM; /* Every year of age */
                   6489:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   6490:   agelim = AGEINF;
                   6491:   for (age=fage; age>=bage; age --){ /* If stepm=6 months */
                   6492:     nhstepm=(int) rint((age-agelim)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6493:     if (stepm >= YEARM) hstepm=1;
                   6494:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6495:     gradg=matrix(1,npar,1,nlstate);
                   6496:     mgp=matrix(1,npar,1,nlstate);
                   6497:     mgm=matrix(1,npar,1,nlstate);
                   6498:     gp=vector(1,nlstate);
                   6499:     gm=vector(1,nlstate);
                   6500: 
                   6501:     for(theta=1; theta <=npar; theta++){
                   6502:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   6503:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6504:       }
                   6505:       if(mobilavproj > 0 )
                   6506:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6507:       else
                   6508:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6509:       for(i=1;i<=nlstate;i++){
                   6510:        gp[i] = bprlim[i][i];
                   6511:        mgp[theta][i] = bprlim[i][i];
                   6512:       }
                   6513:      for(i=1; i<=npar; i++) /* Computes gradient */
                   6514:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   6515:        if(mobilavproj > 0 )
                   6516:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6517:        else
                   6518:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6519:       for(i=1;i<=nlstate;i++){
                   6520:        gm[i] = bprlim[i][i];
                   6521:        mgm[theta][i] = bprlim[i][i];
                   6522:       }
                   6523:       for(i=1;i<=nlstate;i++)
                   6524:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
                   6525:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
                   6526:     } /* End theta */
                   6527: 
                   6528:     trgradg =matrix(1,nlstate,1,npar);
                   6529: 
                   6530:     for(j=1; j<=nlstate;j++)
                   6531:       for(theta=1; theta <=npar; theta++)
                   6532:        trgradg[j][theta]=gradg[theta][j];
                   6533:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6534:     /*   printf("\nmgm mgp %d ",(int)age); */
                   6535:     /*   for(j=1; j<=nlstate;j++){ */
                   6536:     /*         printf(" %d ",j); */
                   6537:     /*         for(theta=1; theta <=npar; theta++) */
                   6538:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   6539:     /*         printf("\n "); */
                   6540:     /*   } */
                   6541:     /* } */
                   6542:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6543:     /*   printf("\n gradg %d ",(int)age); */
                   6544:     /*   for(j=1; j<=nlstate;j++){ */
                   6545:     /*         printf("%d ",j); */
                   6546:     /*         for(theta=1; theta <=npar; theta++) */
                   6547:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   6548:     /*         printf("\n "); */
                   6549:     /*   } */
                   6550:     /* } */
                   6551: 
                   6552:     for(i=1;i<=nlstate;i++)
                   6553:       varbpl[i][(int)age] =0.;
                   6554:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
                   6555:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6556:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
                   6557:     }else{
                   6558:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6559:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
                   6560:     }
                   6561:     for(i=1;i<=nlstate;i++)
                   6562:       varbpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   6563: 
                   6564:     fprintf(ficresvbl,"%.0f ",age );
                   6565:     if(nresult >=1)
                   6566:       fprintf(ficresvbl,"%d ",nres );
                   6567:     for(i=1; i<=nlstate;i++)
                   6568:       fprintf(ficresvbl," %.5f (%.5f)",bprlim[i][i],sqrt(varbpl[i][(int)age]));
                   6569:     fprintf(ficresvbl,"\n");
                   6570:     free_vector(gp,1,nlstate);
                   6571:     free_vector(gm,1,nlstate);
                   6572:     free_matrix(mgm,1,npar,1,nlstate);
                   6573:     free_matrix(mgp,1,npar,1,nlstate);
                   6574:     free_matrix(gradg,1,npar,1,nlstate);
                   6575:     free_matrix(trgradg,1,nlstate,1,npar);
                   6576:   } /* End age */
                   6577: 
                   6578:   free_vector(xp,1,npar);
                   6579:   free_matrix(doldm,1,nlstate,1,npar);
                   6580:   free_matrix(dnewmpar,1,nlstate,1,nlstate);
1.126     brouard  6581: 
                   6582: }
                   6583: 
                   6584: /************ Variance of one-step probabilities  ******************/
                   6585: 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  6586:  {
                   6587:    int i, j=0,  k1, l1, tj;
                   6588:    int k2, l2, j1,  z1;
                   6589:    int k=0, l;
                   6590:    int first=1, first1, first2;
                   6591:    double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   6592:    double **dnewm,**doldm;
                   6593:    double *xp;
                   6594:    double *gp, *gm;
                   6595:    double **gradg, **trgradg;
                   6596:    double **mu;
                   6597:    double age, cov[NCOVMAX+1];
                   6598:    double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   6599:    int theta;
                   6600:    char fileresprob[FILENAMELENGTH];
                   6601:    char fileresprobcov[FILENAMELENGTH];
                   6602:    char fileresprobcor[FILENAMELENGTH];
                   6603:    double ***varpij;
                   6604: 
                   6605:    strcpy(fileresprob,"PROB_"); 
                   6606:    strcat(fileresprob,fileres);
                   6607:    if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   6608:      printf("Problem with resultfile: %s\n", fileresprob);
                   6609:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   6610:    }
                   6611:    strcpy(fileresprobcov,"PROBCOV_"); 
                   6612:    strcat(fileresprobcov,fileresu);
                   6613:    if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   6614:      printf("Problem with resultfile: %s\n", fileresprobcov);
                   6615:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   6616:    }
                   6617:    strcpy(fileresprobcor,"PROBCOR_"); 
                   6618:    strcat(fileresprobcor,fileresu);
                   6619:    if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   6620:      printf("Problem with resultfile: %s\n", fileresprobcor);
                   6621:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   6622:    }
                   6623:    printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   6624:    fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   6625:    printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   6626:    fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   6627:    printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   6628:    fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   6629:    pstamp(ficresprob);
                   6630:    fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   6631:    fprintf(ficresprob,"# Age");
                   6632:    pstamp(ficresprobcov);
                   6633:    fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   6634:    fprintf(ficresprobcov,"# Age");
                   6635:    pstamp(ficresprobcor);
                   6636:    fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   6637:    fprintf(ficresprobcor,"# Age");
1.126     brouard  6638: 
                   6639: 
1.222     brouard  6640:    for(i=1; i<=nlstate;i++)
                   6641:      for(j=1; j<=(nlstate+ndeath);j++){
                   6642:        fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   6643:        fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   6644:        fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   6645:      }  
                   6646:    /* fprintf(ficresprob,"\n");
                   6647:       fprintf(ficresprobcov,"\n");
                   6648:       fprintf(ficresprobcor,"\n");
                   6649:    */
                   6650:    xp=vector(1,npar);
                   6651:    dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   6652:    doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   6653:    mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   6654:    varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   6655:    first=1;
                   6656:    fprintf(ficgp,"\n# Routine varprob");
                   6657:    fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   6658:    fprintf(fichtm,"\n");
                   6659: 
1.288     brouard  6660:    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  6661:    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);
                   6662:    fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
1.126     brouard  6663: and drawn. It helps understanding how is the covariance between two incidences.\
                   6664:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
1.222     brouard  6665:    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  6666: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   6667: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   6668: standard deviations wide on each axis. <br>\
                   6669:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   6670:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   6671: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   6672: 
1.222     brouard  6673:    cov[1]=1;
                   6674:    /* tj=cptcoveff; */
1.225     brouard  6675:    tj = (int) pow(2,cptcoveff);
1.222     brouard  6676:    if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   6677:    j1=0;
1.224     brouard  6678:    for(j1=1; j1<=tj;j1++){  /* For each valid combination of covariates or only once*/
1.222     brouard  6679:      if  (cptcovn>0) {
                   6680:        fprintf(ficresprob, "\n#********** Variable "); 
1.225     brouard  6681:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6682:        fprintf(ficresprob, "**********\n#\n");
                   6683:        fprintf(ficresprobcov, "\n#********** Variable "); 
1.225     brouard  6684:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6685:        fprintf(ficresprobcov, "**********\n#\n");
1.220     brouard  6686:                        
1.222     brouard  6687:        fprintf(ficgp, "\n#********** Variable "); 
1.225     brouard  6688:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6689:        fprintf(ficgp, "**********\n#\n");
1.220     brouard  6690:                        
                   6691:                        
1.222     brouard  6692:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
1.225     brouard  6693:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6694:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  6695:                        
1.222     brouard  6696:        fprintf(ficresprobcor, "\n#********** Variable ");    
1.225     brouard  6697:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6698:        fprintf(ficresprobcor, "**********\n#");    
                   6699:        if(invalidvarcomb[j1]){
                   6700:         fprintf(ficgp,"\n#Combination (%d) ignored because no cases \n",j1); 
                   6701:         fprintf(fichtmcov,"\n<h3>Combination (%d) ignored because no cases </h3>\n",j1); 
                   6702:         continue;
                   6703:        }
                   6704:      }
                   6705:      gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   6706:      trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   6707:      gp=vector(1,(nlstate)*(nlstate+ndeath));
                   6708:      gm=vector(1,(nlstate)*(nlstate+ndeath));
                   6709:      for (age=bage; age<=fage; age ++){ 
                   6710:        cov[2]=age;
                   6711:        if(nagesqr==1)
                   6712:         cov[3]= age*age;
                   6713:        for (k=1; k<=cptcovn;k++) {
                   6714:         cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
                   6715:         /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
                   6716:                                                                    * 1  1 1 1 1
                   6717:                                                                    * 2  2 1 1 1
                   6718:                                                                    * 3  1 2 1 1
                   6719:                                                                    */
                   6720:         /* nbcode[1][1]=0 nbcode[1][2]=1;*/
                   6721:        }
                   6722:        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   6723:        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   6724:        for (k=1; k<=cptcovprod;k++)
                   6725:         cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.220     brouard  6726:                        
                   6727:                        
1.222     brouard  6728:        for(theta=1; theta <=npar; theta++){
                   6729:         for(i=1; i<=npar; i++)
                   6730:           xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
1.220     brouard  6731:                                
1.222     brouard  6732:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
1.220     brouard  6733:                                
1.222     brouard  6734:         k=0;
                   6735:         for(i=1; i<= (nlstate); i++){
                   6736:           for(j=1; j<=(nlstate+ndeath);j++){
                   6737:             k=k+1;
                   6738:             gp[k]=pmmij[i][j];
                   6739:           }
                   6740:         }
1.220     brouard  6741:                                
1.222     brouard  6742:         for(i=1; i<=npar; i++)
                   6743:           xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
1.220     brouard  6744:                                
1.222     brouard  6745:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   6746:         k=0;
                   6747:         for(i=1; i<=(nlstate); i++){
                   6748:           for(j=1; j<=(nlstate+ndeath);j++){
                   6749:             k=k+1;
                   6750:             gm[k]=pmmij[i][j];
                   6751:           }
                   6752:         }
1.220     brouard  6753:                                
1.222     brouard  6754:         for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   6755:           gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   6756:        }
1.126     brouard  6757: 
1.222     brouard  6758:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   6759:         for(theta=1; theta <=npar; theta++)
                   6760:           trgradg[j][theta]=gradg[theta][j];
1.220     brouard  6761:                        
1.222     brouard  6762:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   6763:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
1.220     brouard  6764:                        
1.222     brouard  6765:        pmij(pmmij,cov,ncovmodel,x,nlstate);
1.220     brouard  6766:                        
1.222     brouard  6767:        k=0;
                   6768:        for(i=1; i<=(nlstate); i++){
                   6769:         for(j=1; j<=(nlstate+ndeath);j++){
                   6770:           k=k+1;
                   6771:           mu[k][(int) age]=pmmij[i][j];
                   6772:         }
                   6773:        }
                   6774:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   6775:         for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   6776:           varpij[i][j][(int)age] = doldm[i][j];
1.220     brouard  6777:                        
1.222     brouard  6778:        /*printf("\n%d ",(int)age);
                   6779:         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   6780:         printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   6781:         fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   6782:         }*/
1.220     brouard  6783:                        
1.222     brouard  6784:        fprintf(ficresprob,"\n%d ",(int)age);
                   6785:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   6786:        fprintf(ficresprobcor,"\n%d ",(int)age);
1.220     brouard  6787:                        
1.222     brouard  6788:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   6789:         fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   6790:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   6791:         fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   6792:         fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   6793:        }
                   6794:        i=0;
                   6795:        for (k=1; k<=(nlstate);k++){
                   6796:         for (l=1; l<=(nlstate+ndeath);l++){ 
                   6797:           i++;
                   6798:           fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   6799:           fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   6800:           for (j=1; j<=i;j++){
                   6801:             /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
                   6802:             fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   6803:             fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   6804:           }
                   6805:         }
                   6806:        }/* end of loop for state */
                   6807:      } /* end of loop for age */
                   6808:      free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   6809:      free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   6810:      free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   6811:      free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   6812:     
                   6813:      /* Confidence intervalle of pij  */
                   6814:      /*
                   6815:        fprintf(ficgp,"\nunset parametric;unset label");
                   6816:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   6817:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   6818:        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);
                   6819:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   6820:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   6821:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   6822:      */
                   6823:                
                   6824:      /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
                   6825:      first1=1;first2=2;
                   6826:      for (k2=1; k2<=(nlstate);k2++){
                   6827:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   6828:         if(l2==k2) continue;
                   6829:         j=(k2-1)*(nlstate+ndeath)+l2;
                   6830:         for (k1=1; k1<=(nlstate);k1++){
                   6831:           for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   6832:             if(l1==k1) continue;
                   6833:             i=(k1-1)*(nlstate+ndeath)+l1;
                   6834:             if(i<=j) continue;
                   6835:             for (age=bage; age<=fage; age ++){ 
                   6836:               if ((int)age %5==0){
                   6837:                 v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   6838:                 v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   6839:                 cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   6840:                 mu1=mu[i][(int) age]/stepm*YEARM ;
                   6841:                 mu2=mu[j][(int) age]/stepm*YEARM;
                   6842:                 c12=cv12/sqrt(v1*v2);
                   6843:                 /* Computing eigen value of matrix of covariance */
                   6844:                 lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   6845:                 lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   6846:                 if ((lc2 <0) || (lc1 <0) ){
                   6847:                   if(first2==1){
                   6848:                     first1=0;
                   6849:                     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);
                   6850:                   }
                   6851:                   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);
                   6852:                   /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   6853:                   /* lc2=fabs(lc2); */
                   6854:                 }
1.220     brouard  6855:                                                                
1.222     brouard  6856:                 /* Eigen vectors */
1.280     brouard  6857:                 if(1+(v1-lc1)*(v1-lc1)/cv12/cv12 <1.e-5){
                   6858:                   printf(" Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12);
                   6859:                   fprintf(ficlog," Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12);
                   6860:                   v11=(1./sqrt(fabs(1+(v1-lc1)*(v1-lc1)/cv12/cv12)));
                   6861:                 }else
                   6862:                   v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
1.222     brouard  6863:                 /*v21=sqrt(1.-v11*v11); *//* error */
                   6864:                 v21=(lc1-v1)/cv12*v11;
                   6865:                 v12=-v21;
                   6866:                 v22=v11;
                   6867:                 tnalp=v21/v11;
                   6868:                 if(first1==1){
                   6869:                   first1=0;
                   6870:                   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);
                   6871:                 }
                   6872:                 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);
                   6873:                 /*printf(fignu*/
                   6874:                 /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   6875:                 /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   6876:                 if(first==1){
                   6877:                   first=0;
                   6878:                   fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
                   6879:                   fprintf(ficgp,"\nset parametric;unset label");
                   6880:                   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);
                   6881:                   fprintf(ficgp,"\nset ter svg size 640, 480");
1.266     brouard  6882:                   fprintf(fichtmcov,"\n<p><br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
1.220     brouard  6883:  :<a href=\"%s_%d%1d%1d-%1d%1d.svg\">                                                                                                                                          \
1.201     brouard  6884: %s_%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
1.222     brouard  6885:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2,      \
                   6886:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6887:                   fprintf(fichtmcov,"\n<br><img src=\"%s_%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6888:                   fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                   6889:                   fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6890:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   6891:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   6892:                   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  6893:                           mu1,std,v11,sqrt(fabs(lc1)),v12,sqrt(fabs(lc2)), \
                   6894:                           mu2,std,v21,sqrt(fabs(lc1)),v22,sqrt(fabs(lc2))); /* For gnuplot only */
1.222     brouard  6895:                 }else{
                   6896:                   first=0;
                   6897:                   fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   6898:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   6899:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   6900:                   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  6901:                           mu1,std,v11,sqrt(lc1),v12,sqrt(fabs(lc2)),   \
                   6902:                           mu2,std,v21,sqrt(lc1),v22,sqrt(fabs(lc2)));
1.222     brouard  6903:                 }/* if first */
                   6904:               } /* age mod 5 */
                   6905:             } /* end loop age */
                   6906:             fprintf(ficgp,"\nset out;\nset out \"%s_%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6907:             first=1;
                   6908:           } /*l12 */
                   6909:         } /* k12 */
                   6910:        } /*l1 */
                   6911:      }/* k1 */
                   6912:    }  /* loop on combination of covariates j1 */
                   6913:    free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   6914:    free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   6915:    free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   6916:    free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   6917:    free_vector(xp,1,npar);
                   6918:    fclose(ficresprob);
                   6919:    fclose(ficresprobcov);
                   6920:    fclose(ficresprobcor);
                   6921:    fflush(ficgp);
                   6922:    fflush(fichtmcov);
                   6923:  }
1.126     brouard  6924: 
                   6925: 
                   6926: /******************* Printing html file ***********/
1.201     brouard  6927: void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  6928:                  int lastpass, int stepm, int weightopt, char model[],\
                   6929:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
1.296     brouard  6930:                  int popforecast, int mobilav, int prevfcast, int mobilavproj, int prevbcast, int estepm , \
                   6931:                  double jprev1, double mprev1,double anprev1, double dateprev1, double dateprojd, double dateback1, \
                   6932:                  double jprev2, double mprev2,double anprev2, double dateprev2, double dateprojf, double dateback2){
1.237     brouard  6933:   int jj1, k1, i1, cpt, k4, nres;
1.126     brouard  6934: 
                   6935:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   6936:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   6937: </ul>");
1.237     brouard  6938:    fprintf(fichtm,"<ul><li> model=1+age+%s\n \
                   6939: </ul>", model);
1.214     brouard  6940:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n");
                   6941:    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",
                   6942:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTMFR_",".htm"),subdirfext3(optionfilefiname,"PHTMFR_",".htm"));
                   6943:    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  6944:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTM_",".htm"),subdirfext3(optionfilefiname,"PHTM_",".htm"));
                   6945:    fprintf(fichtm,",  <a href=\"%s\">%s</a> (text file) <br>\n",subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_"));
1.126     brouard  6946:    fprintf(fichtm,"\
                   6947:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
1.201     brouard  6948:           stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_"));
1.126     brouard  6949:    fprintf(fichtm,"\
1.217     brouard  6950:  - Estimated back transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
                   6951:           stepm,subdirf2(fileresu,"PIJB_"),subdirf2(fileresu,"PIJB_"));
                   6952:    fprintf(fichtm,"\
1.288     brouard  6953:  - Period (forward) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  6954:           subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
1.126     brouard  6955:    fprintf(fichtm,"\
1.288     brouard  6956:  - Backward prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.217     brouard  6957:           subdirf2(fileresu,"PLB_"),subdirf2(fileresu,"PLB_"));
                   6958:    fprintf(fichtm,"\
1.211     brouard  6959:  - (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  6960:    <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  6961:           estepm,subdirf2(fileresu,"E_"),subdirf2(fileresu,"E_"));
1.211     brouard  6962:    if(prevfcast==1){
                   6963:      fprintf(fichtm,"\
                   6964:  - Prevalence projections by age and states:                           \
1.201     brouard  6965:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
1.211     brouard  6966:    }
1.126     brouard  6967: 
                   6968: 
1.225     brouard  6969:    m=pow(2,cptcoveff);
1.222     brouard  6970:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  6971: 
1.264     brouard  6972:    fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
                   6973: 
                   6974:    jj1=0;
                   6975: 
                   6976:    fprintf(fichtm," \n<ul>");
                   6977:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   6978:    for(k1=1; k1<=m;k1++){ /* For each combination of covariate */
                   6979:      if(m != 1 && TKresult[nres]!= k1)
                   6980:        continue;
                   6981:      jj1++;
                   6982:      if (cptcovn > 0) {
                   6983:        fprintf(fichtm,"\n<li><a  size=\"1\" color=\"#EC5E5E\" href=\"#rescov");
                   6984:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   6985:         fprintf(fichtm,"_V%d=%d_",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6986:        }
                   6987:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6988:         fprintf(fichtm,"_V%d=%f_",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6989:        }
                   6990:        fprintf(fichtm,"\">");
                   6991:        
                   6992:        /* if(nqfveff+nqtveff 0) */ /* Test to be done */
                   6993:        fprintf(fichtm,"************ Results for covariates");
                   6994:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   6995:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6996:        }
                   6997:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6998:         fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6999:        }
                   7000:        if(invalidvarcomb[k1]){
                   7001:         fprintf(fichtm," Warning Combination (%d) ignored because no cases ",k1); 
                   7002:         continue;
                   7003:        }
                   7004:        fprintf(fichtm,"</a></li>");
                   7005:      } /* cptcovn >0 */
                   7006:    }
                   7007:      fprintf(fichtm," \n</ul>");
                   7008: 
1.222     brouard  7009:    jj1=0;
1.237     brouard  7010: 
                   7011:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
1.241     brouard  7012:    for(k1=1; k1<=m;k1++){ /* For each combination of covariate */
1.253     brouard  7013:      if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7014:        continue;
1.220     brouard  7015: 
1.222     brouard  7016:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   7017:      jj1++;
                   7018:      if (cptcovn > 0) {
1.264     brouard  7019:        fprintf(fichtm,"\n<p><a name=\"rescov");
                   7020:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   7021:         fprintf(fichtm,"_V%d=%d_",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   7022:        }
                   7023:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7024:         fprintf(fichtm,"_V%d=%f_",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7025:        }
                   7026:        fprintf(fichtm,"\"</a>");
                   7027:  
1.222     brouard  7028:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  7029:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
1.237     brouard  7030:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   7031:         printf(" V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);fflush(stdout);
                   7032:         /* fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]); */
                   7033:         /* printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout); */
1.222     brouard  7034:        }
1.237     brouard  7035:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7036:        fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7037:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);fflush(stdout);
                   7038:       }
                   7039:        
1.230     brouard  7040:        /* if(nqfveff+nqtveff 0) */ /* Test to be done */
1.222     brouard  7041:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   7042:        if(invalidvarcomb[k1]){
                   7043:         fprintf(fichtm,"\n<h3>Combination (%d) ignored because no cases </h3>\n",k1); 
                   7044:         printf("\nCombination (%d) ignored because no cases \n",k1); 
                   7045:         continue;
                   7046:        }
                   7047:      }
                   7048:      /* aij, bij */
1.259     brouard  7049:      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  7050: <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  7051:      /* Pij */
1.241     brouard  7052:      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> \
                   7053: <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  7054:      /* Quasi-incidences */
                   7055:      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  7056:  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too, \
1.211     brouard  7057:  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  7058: 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> \
                   7059: <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  7060:      /* Survival functions (period) in state j */
                   7061:      for(cpt=1; cpt<=nlstate;cpt++){
1.292     brouard  7062:        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  7063: <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  7064:      }
                   7065:      /* State specific survival functions (period) */
                   7066:      for(cpt=1; cpt<=nlstate;cpt++){
1.292     brouard  7067:        fprintf(fichtm,"<br>\n- Survival functions in state %d and in any other live state (total).\
                   7068:  And probability to be observed in various states (up to %d) being in state %d at different ages.      \
1.283     brouard  7069:  <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  7070:      }
1.288     brouard  7071:      /* Period (forward stable) prevalence in each health state */
1.222     brouard  7072:      for(cpt=1; cpt<=nlstate;cpt++){
1.264     brouard  7073:        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> \
                   7074: <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  7075:      }
1.296     brouard  7076:      if(prevbcast==1){
1.288     brouard  7077:        /* Backward prevalence in each health state */
1.222     brouard  7078:        for(cpt=1; cpt<=nlstate;cpt++){
1.264     brouard  7079:         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  7080: <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  7081:        }
1.217     brouard  7082:      }
1.222     brouard  7083:      if(prevfcast==1){
1.288     brouard  7084:        /* Projection of prevalence up to period (forward stable) prevalence in each health state */
1.222     brouard  7085:        for(cpt=1; cpt<=nlstate;cpt++){
1.288     brouard  7086:         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><br> \
1.296     brouard  7087: <img src=\"%s_%d-%d-%d.svg\">", dateprev1, dateprev2, mobilavproj, dateprojd, dateprojf, cpt, cpt, nlstate, subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres,subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres,subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres);
1.222     brouard  7088:        }
                   7089:      }
1.296     brouard  7090:      if(prevbcast==1){
1.268     brouard  7091:       /* Back projection of prevalence up to stable (mixed) back-prevalence in each health state */
                   7092:        for(cpt=1; cpt<=nlstate;cpt++){
1.273     brouard  7093:         fprintf(fichtm,"<br>\n- Back projection of cross-sectional prevalence (estimated with cases observed from %.1f to %.1f and mobil_average=%d), \
                   7094:  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 \
                   7095:  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) \
                   7096: with weights corresponding to observed prevalence at different ages. <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a><br> \
                   7097:  <img src=\"%s_%d-%d-%d.svg\">", dateprev1, dateprev2, mobilavproj, dateback1, dateback2, cpt, cpt, nlstate, subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres,subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres,subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres);
1.268     brouard  7098:        }
                   7099:      }
1.220     brouard  7100:         
1.222     brouard  7101:      for(cpt=1; cpt<=nlstate;cpt++) {
1.241     brouard  7102:        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> <br> \
                   7103: <img src=\"%s_%d-%d-%d.svg\">",cpt,nlstate,subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres,subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres,subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres);
1.222     brouard  7104:      }
                   7105:      /* } /\* end i1 *\/ */
                   7106:    }/* End k1 */
                   7107:    fprintf(fichtm,"</ul>");
1.126     brouard  7108: 
1.222     brouard  7109:    fprintf(fichtm,"\
1.126     brouard  7110: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
1.193     brouard  7111:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
1.203     brouard  7112:  - 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  7113: But because parameters are usually highly correlated (a higher incidence of disability \
                   7114: and a higher incidence of recovery can give very close observed transition) it might \
                   7115: be very useful to look not only at linear confidence intervals estimated from the \
                   7116: variances but at the covariance matrix. And instead of looking at the estimated coefficients \
                   7117: (parameters) of the logistic regression, it might be more meaningful to visualize the \
                   7118: covariance matrix of the one-step probabilities. \
                   7119: See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
1.126     brouard  7120: 
1.222     brouard  7121:    fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   7122:           subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_"));
                   7123:    fprintf(fichtm,"\
1.126     brouard  7124:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  7125:           subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_"));
1.126     brouard  7126: 
1.222     brouard  7127:    fprintf(fichtm,"\
1.126     brouard  7128:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  7129:           subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"PROBCOR_"));
                   7130:    fprintf(fichtm,"\
1.126     brouard  7131:  - 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): \
                   7132:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  7133:           estepm,subdirf2(fileresu,"CVE_"),subdirf2(fileresu,"CVE_"));
1.222     brouard  7134:    fprintf(fichtm,"\
1.126     brouard  7135:  - (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): \
                   7136:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  7137:           estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_"));
1.222     brouard  7138:    fprintf(fichtm,"\
1.288     brouard  7139:  - 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  7140:           estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_"));
                   7141:    fprintf(fichtm,"\
1.128     brouard  7142:  - 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  7143:           estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_"));
                   7144:    fprintf(fichtm,"\
1.288     brouard  7145:  - Standard deviation of forward (period) prevalences: <a href=\"%s\">%s</a> <br>\n",\
1.222     brouard  7146:           subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
1.126     brouard  7147: 
                   7148: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   7149: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   7150: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   7151: /*     <br>",fileres,fileres,fileres,fileres); */
                   7152: /*  else  */
                   7153: /*    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  7154:    fflush(fichtm);
                   7155:    fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
1.126     brouard  7156: 
1.225     brouard  7157:    m=pow(2,cptcoveff);
1.222     brouard  7158:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  7159: 
1.222     brouard  7160:    jj1=0;
1.237     brouard  7161: 
1.241     brouard  7162:    for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.222     brouard  7163:    for(k1=1; k1<=m;k1++){
1.253     brouard  7164:      if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7165:        continue;
1.222     brouard  7166:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   7167:      jj1++;
1.126     brouard  7168:      if (cptcovn > 0) {
                   7169:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  7170:        for (cpt=1; cpt<=cptcoveff;cpt++)  /**< cptcoveff number of variables */
1.237     brouard  7171:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);
                   7172:         /* fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]); */
                   7173:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7174:        fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7175:       }
                   7176: 
1.126     brouard  7177:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  7178: 
1.222     brouard  7179:        if(invalidvarcomb[k1]){
                   7180:         fprintf(fichtm,"\n<h4>Combination (%d) ignored because no cases </h4>\n",k1); 
                   7181:         continue;
                   7182:        }
1.126     brouard  7183:      }
                   7184:      for(cpt=1; cpt<=nlstate;cpt++) {
1.258     brouard  7185:        fprintf(fichtm,"\n<br>- Observed (cross-sectional with mov_average=%d) and period (incidence based) \
1.241     brouard  7186: prevalence (with 95%% confidence interval) in state (%d): <a href=\"%s_%d-%d-%d.svg\"> %s_%d-%d-%d.svg</a>\n <br>\
1.258     brouard  7187: <img src=\"%s_%d-%d-%d.svg\">",mobilav,cpt,subdirf2(optionfilefiname,"V_"),cpt,k1,nres,subdirf2(optionfilefiname,"V_"),cpt,k1,nres,subdirf2(optionfilefiname,"V_"),cpt,k1,nres);  
1.126     brouard  7188:      }
                   7189:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.128     brouard  7190: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
                   7191: true period expectancies (those weighted with period prevalences are also\
                   7192:  drawn in addition to the population based expectancies computed using\
1.241     brouard  7193:  observed and cahotic prevalences:  <a href=\"%s_%d-%d.svg\">%s_%d-%d.svg</a>\n<br>\
                   7194: <img src=\"%s_%d-%d.svg\">",subdirf2(optionfilefiname,"E_"),k1,nres,subdirf2(optionfilefiname,"E_"),k1,nres,subdirf2(optionfilefiname,"E_"),k1,nres);
1.222     brouard  7195:      /* } /\* end i1 *\/ */
                   7196:    }/* End k1 */
1.241     brouard  7197:   }/* End nres */
1.222     brouard  7198:    fprintf(fichtm,"</ul>");
                   7199:    fflush(fichtm);
1.126     brouard  7200: }
                   7201: 
                   7202: /******************* Gnuplot file **************/
1.296     brouard  7203: 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  7204: 
                   7205:   char dirfileres[132],optfileres[132];
1.264     brouard  7206:   char gplotcondition[132], gplotlabel[132];
1.237     brouard  7207:   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  7208:   int lv=0, vlv=0, kl=0;
1.130     brouard  7209:   int ng=0;
1.201     brouard  7210:   int vpopbased;
1.223     brouard  7211:   int ioffset; /* variable offset for columns */
1.270     brouard  7212:   int iyearc=1; /* variable column for year of projection  */
                   7213:   int iagec=1; /* variable column for age of projection  */
1.235     brouard  7214:   int nres=0; /* Index of resultline */
1.266     brouard  7215:   int istart=1; /* For starting graphs in projections */
1.219     brouard  7216: 
1.126     brouard  7217: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   7218: /*     printf("Problem with file %s",optionfilegnuplot); */
                   7219: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   7220: /*   } */
                   7221: 
                   7222:   /*#ifdef windows */
                   7223:   fprintf(ficgp,"cd \"%s\" \n",pathc);
1.223     brouard  7224:   /*#endif */
1.225     brouard  7225:   m=pow(2,cptcoveff);
1.126     brouard  7226: 
1.274     brouard  7227:   /* diagram of the model */
                   7228:   fprintf(ficgp,"\n#Diagram of the model \n");
                   7229:   fprintf(ficgp,"\ndelta=0.03;delta2=0.07;unset arrow;\n");
                   7230:   fprintf(ficgp,"yoff=(%d > 2? 0:1);\n",nlstate);
                   7231:   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);
                   7232: 
                   7233:   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);
                   7234:   fprintf(ficgp,"\n#show arrow\nunset label\n");
                   7235:   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);
                   7236:   fprintf(ficgp,"\nset label %d+1 sprintf(\"State %%d\",%d+1) center at 0.,0.  font \"helvetica, 16\" tc rgbcolor \"red\"\n",nlstate,nlstate);
                   7237:   fprintf(ficgp,"\n#show label\nunset border;unset xtics; unset ytics;\n");
                   7238:   fprintf(ficgp,"\n\nset ter svg size 640, 480;set out \"%s_.svg\" \n",subdirf2(optionfilefiname,"D_"));
                   7239:   fprintf(ficgp,"unset log y; plot [-1.2:1.2][yoff-1.2:1.2] 1/0 not; set out;reset;\n");
                   7240: 
1.202     brouard  7241:   /* Contribution to likelihood */
                   7242:   /* Plot the probability implied in the likelihood */
1.223     brouard  7243:   fprintf(ficgp,"\n# Contributions to the Likelihood, mle >=1. For mle=4 no interpolation, pure matrix products.\n#\n");
                   7244:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Likelihood (-2Log(L))\";");
                   7245:   /* fprintf(ficgp,"\nset ter svg size 640, 480"); */ /* Too big for svg */
                   7246:   fprintf(ficgp,"\nset ter pngcairo size 640, 480");
1.204     brouard  7247: /* nice for mle=4 plot by number of matrix products.
1.202     brouard  7248:    replot  "rrtest1/toto.txt" u 2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with point lc 1 */
                   7249: /* replot exp(p1+p2*x)/(1+exp(p1+p2*x)+exp(p3+p4*x)+exp(p5+p6*x)) t "p12(x)"  */
1.223     brouard  7250:   /* fprintf(ficgp,"\nset out \"%s.svg\";",subdirf2(optionfilefiname,"ILK_")); */
                   7251:   fprintf(ficgp,"\nset out \"%s-dest.png\";",subdirf2(optionfilefiname,"ILK_"));
                   7252:   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));
                   7253:   fprintf(ficgp,"\nset out \"%s-ori.png\";",subdirf2(optionfilefiname,"ILK_"));
                   7254:   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));
                   7255:   for (i=1; i<= nlstate ; i ++) {
                   7256:     fprintf(ficgp,"\nset out \"%s-p%dj.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i);
                   7257:     fprintf(ficgp,"unset log;\n# plot weighted, mean weight should have point size of 0.5\n plot  \"%s\"",subdirf(fileresilk));
                   7258:     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);
                   7259:     for (j=2; j<= nlstate+ndeath ; j ++) {
                   7260:       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);
                   7261:     }
                   7262:     fprintf(ficgp,";\nset out; unset ylabel;\n"); 
                   7263:   }
                   7264:   /* 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 */               
                   7265:   /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
                   7266:   /* fprintf(ficgp,"\nreplot  \"%s\" u 2:($3 <= 3 ? -$11 : 1/0):3 t \"First 3 individuals\" with line lc variable", subdirf(fileresilk)); */
                   7267:   fprintf(ficgp,"\nset out;unset log\n");
                   7268:   /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
1.202     brouard  7269: 
1.126     brouard  7270:   strcpy(dirfileres,optionfilefiname);
                   7271:   strcpy(optfileres,"vpl");
1.223     brouard  7272:   /* 1eme*/
1.238     brouard  7273:   for (cpt=1; cpt<= nlstate ; cpt ++){ /* For each live state */
                   7274:     for (k1=1; k1<= m ; k1 ++){ /* For each valid combination of covariate */
1.236     brouard  7275:       for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.238     brouard  7276:        /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
1.253     brouard  7277:        if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7278:          continue;
                   7279:        /* We are interested in selected combination by the resultline */
1.246     brouard  7280:        /* printf("\n# 1st: Period (stable) prevalence with CI: 'VPL_' files and live state =%d ", cpt); */
1.288     brouard  7281:        fprintf(ficgp,"\n# 1st: Forward (stable period) prevalence with CI: 'VPL_' files  and live state =%d ", cpt);
1.264     brouard  7282:        strcpy(gplotlabel,"(");
1.238     brouard  7283:        for (k=1; k<=cptcoveff; k++){    /* For each covariate k get corresponding value lv for combination k1 */
                   7284:          lv= decodtabm(k1,k,cptcoveff); /* Should be the value of the covariate corresponding to k1 combination */
                   7285:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7286:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7287:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7288:          vlv= nbcode[Tvaraff[k]][lv]; /* vlv is the value of the covariate lv, 0 or 1 */
                   7289:          /* For each combination of covariate k1 (V1=1, V3=0), we printed the current covariate k and its value vlv */
1.246     brouard  7290:          /* printf(" V%d=%d ",Tvaraff[k],vlv); */
1.238     brouard  7291:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7292:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7293:        }
                   7294:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.246     brouard  7295:          /* printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
1.238     brouard  7296:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7297:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7298:        }
                   7299:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.246     brouard  7300:        /* printf("\n#\n"); */
1.238     brouard  7301:        fprintf(ficgp,"\n#\n");
                   7302:        if(invalidvarcomb[k1]){
1.260     brouard  7303:           /*k1=k1-1;*/ /* To be checked */
1.238     brouard  7304:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7305:          continue;
                   7306:        }
1.235     brouard  7307:       
1.241     brouard  7308:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1,nres);
                   7309:        fprintf(ficgp,"\n#set out \"V_%s_%d-%d-%d.svg\" \n",optionfilefiname,cpt,k1,nres);
1.276     brouard  7310:        /* fprintf(ficgp,"set label \"Alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel); */
                   7311:        fprintf(ficgp,"set title \"Alive state %d %s\" font \"Helvetica,12\"\n",cpt,gplotlabel);
1.260     brouard  7312:        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);
                   7313:        /* 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); */
                   7314:       /* k1-1 error should be nres-1*/
1.238     brouard  7315:        for (i=1; i<= nlstate ; i ++) {
                   7316:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7317:          else        fprintf(ficgp," %%*lf (%%*lf)");
                   7318:        }
1.288     brouard  7319:        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  7320:        for (i=1; i<= nlstate ; i ++) {
                   7321:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7322:          else fprintf(ficgp," %%*lf (%%*lf)");
                   7323:        } 
1.260     brouard  7324:        fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2==%d ? $3-1.96*$4 : 1/0) \"%%lf %%lf",subdirf2(fileresu,"VPL_"),nres-1,nres-1,nres); 
1.238     brouard  7325:        for (i=1; i<= nlstate ; i ++) {
                   7326:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7327:          else fprintf(ficgp," %%*lf (%%*lf)");
                   7328:        }  
1.265     brouard  7329:        /* fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence\" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1)); */
                   7330:        
                   7331:        fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" u 1:((",subdirf2(fileresu,"P_"));
                   7332:         if(cptcoveff ==0){
1.271     brouard  7333:          fprintf(ficgp,"$%d)) t 'Observed prevalence in state %d' with line lt 3",      2+3*(cpt-1),  cpt );
1.265     brouard  7334:        }else{
                   7335:          kl=0;
                   7336:          for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
                   7337:            lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7338:            /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7339:            /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7340:            /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7341:            vlv= nbcode[Tvaraff[k]][lv];
                   7342:            kl++;
                   7343:            /* 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 *\/ */
                   7344:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7345:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7346:            /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
                   7347:            if(k==cptcoveff){
                   7348:              fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Observed prevalence in state %d' w l lt 2",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
                   7349:                      2+cptcoveff*2+3*(cpt-1),  cpt );  /* 4 or 6 ?*/
                   7350:            }else{
                   7351:              fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                   7352:              kl++;
                   7353:            }
                   7354:          } /* end covariate */
                   7355:        } /* end if no covariate */
                   7356: 
1.296     brouard  7357:        if(prevbcast==1){ /* We need to get the corresponding values of the covariates involved in this combination k1 */
1.238     brouard  7358:          /* fprintf(ficgp,",\"%s\" every :::%d::%d u 1:($%d) t\"Backward stable prevalence\" w l lt 3",subdirf2(fileresu,"PLB_"),k1-1,k1-1,1+cpt); */
1.242     brouard  7359:          fprintf(ficgp,",\"%s\" u 1:((",subdirf2(fileresu,"PLB_")); /* Age is in 1, nres in 2 to be fixed */
1.238     brouard  7360:          if(cptcoveff ==0){
1.245     brouard  7361:            fprintf(ficgp,"$%d)) t 'Backward prevalence in state %d' with line lt 3",    2+(cpt-1),  cpt );
1.238     brouard  7362:          }else{
                   7363:            kl=0;
                   7364:            for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
                   7365:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7366:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7367:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7368:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7369:              vlv= nbcode[Tvaraff[k]][lv];
1.223     brouard  7370:              kl++;
1.238     brouard  7371:              /* 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 *\/ */
                   7372:              /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7373:              /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7374:              /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
                   7375:              if(k==cptcoveff){
1.245     brouard  7376:                fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Backward prevalence in state %d' w l lt 3",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
1.242     brouard  7377:                        2+cptcoveff*2+(cpt-1),  cpt );  /* 4 or 6 ?*/
1.238     brouard  7378:              }else{
                   7379:                fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                   7380:                kl++;
                   7381:              }
                   7382:            } /* end covariate */
                   7383:          } /* end if no covariate */
1.296     brouard  7384:          if(prevbcast == 1){
1.268     brouard  7385:            fprintf(ficgp,", \"%s\" every :::%d::%d u 1:($2==%d ? $3:1/0) \"%%lf %%lf",subdirf2(fileresu,"VBL_"),nres-1,nres-1,nres);
                   7386:            /* k1-1 error should be nres-1*/
                   7387:            for (i=1; i<= nlstate ; i ++) {
                   7388:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7389:              else        fprintf(ficgp," %%*lf (%%*lf)");
                   7390:            }
1.271     brouard  7391:            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  7392:            for (i=1; i<= nlstate ; i ++) {
                   7393:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7394:              else fprintf(ficgp," %%*lf (%%*lf)");
                   7395:            } 
1.276     brouard  7396:            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  7397:            for (i=1; i<= nlstate ; i ++) {
                   7398:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7399:              else fprintf(ficgp," %%*lf (%%*lf)");
                   7400:            } 
1.274     brouard  7401:            fprintf(ficgp,"\" t\"\" w l lt 4");
1.268     brouard  7402:          } /* end if backprojcast */
1.296     brouard  7403:        } /* end if prevbcast */
1.276     brouard  7404:        /* fprintf(ficgp,"\nset out ;unset label;\n"); */
                   7405:        fprintf(ficgp,"\nset out ;unset title;\n");
1.238     brouard  7406:       } /* nres */
1.201     brouard  7407:     } /* k1 */
                   7408:   } /* cpt */
1.235     brouard  7409: 
                   7410:   
1.126     brouard  7411:   /*2 eme*/
1.238     brouard  7412:   for (k1=1; k1<= m ; k1 ++){  
                   7413:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7414:       if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7415:        continue;
                   7416:       fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files ");
1.264     brouard  7417:       strcpy(gplotlabel,"(");
1.238     brouard  7418:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.225     brouard  7419:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  7420:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7421:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7422:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7423:        vlv= nbcode[Tvaraff[k]][lv];
                   7424:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7425:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  7426:       }
1.237     brouard  7427:       /* for(k=1; k <= ncovds; k++){ */
1.236     brouard  7428:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.238     brouard  7429:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.236     brouard  7430:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7431:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7432:       }
1.264     brouard  7433:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.211     brouard  7434:       fprintf(ficgp,"\n#\n");
1.223     brouard  7435:       if(invalidvarcomb[k1]){
                   7436:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7437:        continue;
                   7438:       }
1.219     brouard  7439:                        
1.241     brouard  7440:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"E_"),k1,nres);
1.238     brouard  7441:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.264     brouard  7442:        fprintf(ficgp,"\nset label \"popbased %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",vpopbased,gplotlabel);
                   7443:        if(vpopbased==0){
1.238     brouard  7444:          fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
1.264     brouard  7445:        }else
1.238     brouard  7446:          fprintf(ficgp,"\nreplot ");
                   7447:        for (i=1; i<= nlstate+1 ; i ++) {
                   7448:          k=2*i;
1.261     brouard  7449:          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  7450:          for (j=1; j<= nlstate+1 ; j ++) {
                   7451:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7452:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7453:          }   
                   7454:          if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l lt %d, \\\n",i);
                   7455:          else fprintf(ficgp,"\" t\"LE in state (%d)\" w l lt %d, \\\n",i-1,i+1);
1.261     brouard  7456:          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  7457:          for (j=1; j<= nlstate+1 ; j ++) {
                   7458:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7459:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7460:          }   
                   7461:          fprintf(ficgp,"\" t\"\" w l lt 0,");
1.261     brouard  7462:          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  7463:          for (j=1; j<= nlstate+1 ; j ++) {
                   7464:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7465:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7466:          }   
                   7467:          if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   7468:          else fprintf(ficgp,"\" t\"\" w l lt 0,\\\n");
                   7469:        } /* state */
                   7470:       } /* vpopbased */
1.264     brouard  7471:       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  7472:     } /* end nres */
                   7473:   } /* k1 end 2 eme*/
                   7474:        
                   7475:        
                   7476:   /*3eme*/
                   7477:   for (k1=1; k1<= m ; k1 ++){
                   7478:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7479:       if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7480:        continue;
                   7481: 
                   7482:       for (cpt=1; cpt<= nlstate ; cpt ++) {
1.261     brouard  7483:        fprintf(ficgp,"\n\n# 3d: Life expectancy with EXP_ files:  combination=%d state=%d",k1, cpt);
1.264     brouard  7484:        strcpy(gplotlabel,"(");
1.238     brouard  7485:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7486:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7487:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7488:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7489:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7490:          vlv= nbcode[Tvaraff[k]][lv];
                   7491:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7492:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7493:        }
                   7494:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7495:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7496:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7497:        }       
1.264     brouard  7498:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7499:        fprintf(ficgp,"\n#\n");
                   7500:        if(invalidvarcomb[k1]){
                   7501:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7502:          continue;
                   7503:        }
                   7504:                        
                   7505:        /*       k=2+nlstate*(2*cpt-2); */
                   7506:        k=2+(nlstate+1)*(cpt-1);
1.241     brouard  7507:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres);
1.264     brouard  7508:        fprintf(ficgp,"set label \"%s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",gplotlabel);
1.238     brouard  7509:        fprintf(ficgp,"set ter svg size 640, 480\n\
1.261     brouard  7510: 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  7511:        /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   7512:          for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   7513:          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   7514:          fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   7515:          for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   7516:          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
1.219     brouard  7517:                                
1.238     brouard  7518:        */
                   7519:        for (i=1; i< nlstate ; i ++) {
1.261     brouard  7520:          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  7521:          /*    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  7522:                                
1.238     brouard  7523:        } 
1.261     brouard  7524:        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  7525:       }
1.264     brouard  7526:       fprintf(ficgp,"\nunset label;\n");
1.238     brouard  7527:     } /* end nres */
                   7528:   } /* end kl 3eme */
1.126     brouard  7529:   
1.223     brouard  7530:   /* 4eme */
1.201     brouard  7531:   /* Survival functions (period) from state i in state j by initial state i */
1.238     brouard  7532:   for (k1=1; k1<=m; k1++){    /* For each covariate and each value */
                   7533:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7534:       if(m != 1 && TKresult[nres]!= k1)
1.223     brouard  7535:        continue;
1.238     brouard  7536:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state cpt*/
1.264     brouard  7537:        strcpy(gplotlabel,"(");
1.238     brouard  7538:        fprintf(ficgp,"\n#\n#\n# Survival functions in state j : 'LIJ_' files, cov=%d state=%d",k1, cpt);
                   7539:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7540:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7541:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7542:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7543:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7544:          vlv= nbcode[Tvaraff[k]][lv];
                   7545:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7546:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7547:        }
                   7548:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7549:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7550:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7551:        }       
1.264     brouard  7552:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7553:        fprintf(ficgp,"\n#\n");
                   7554:        if(invalidvarcomb[k1]){
                   7555:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7556:          continue;
1.223     brouard  7557:        }
1.238     brouard  7558:       
1.241     brouard  7559:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres);
1.264     brouard  7560:        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  7561:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   7562: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7563:        k=3;
                   7564:        for (i=1; i<= nlstate ; i ++){
                   7565:          if(i==1){
                   7566:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7567:          }else{
                   7568:            fprintf(ficgp,", '' ");
                   7569:          }
                   7570:          l=(nlstate+ndeath)*(i-1)+1;
                   7571:          fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   7572:          for (j=2; j<= nlstate+ndeath ; j ++)
                   7573:            fprintf(ficgp,"+$%d",k+l+j-1);
                   7574:          fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
                   7575:        } /* nlstate */
1.264     brouard  7576:        fprintf(ficgp,"\nset out; unset label;\n");
1.238     brouard  7577:       } /* end cpt state*/ 
                   7578:     } /* end nres */
                   7579:   } /* end covariate k1 */  
                   7580: 
1.220     brouard  7581: /* 5eme */
1.201     brouard  7582:   /* Survival functions (period) from state i in state j by final state j */
1.238     brouard  7583:   for (k1=1; k1<= m ; k1++){ /* For each covariate combination if any */
                   7584:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7585:       if(m != 1 && TKresult[nres]!= k1)
1.227     brouard  7586:        continue;
1.238     brouard  7587:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each inital state  */
1.264     brouard  7588:        strcpy(gplotlabel,"(");
1.238     brouard  7589:        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);
                   7590:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7591:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7592:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7593:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7594:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7595:          vlv= nbcode[Tvaraff[k]][lv];
                   7596:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7597:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7598:        }
                   7599:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7600:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7601:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7602:        }       
1.264     brouard  7603:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7604:        fprintf(ficgp,"\n#\n");
                   7605:        if(invalidvarcomb[k1]){
                   7606:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7607:          continue;
                   7608:        }
1.227     brouard  7609:       
1.241     brouard  7610:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres);
1.264     brouard  7611:        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  7612:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   7613: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7614:        k=3;
                   7615:        for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   7616:          if(j==1)
                   7617:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7618:          else
                   7619:            fprintf(ficgp,", '' ");
                   7620:          l=(nlstate+ndeath)*(cpt-1) +j;
                   7621:          fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):($%d",k1,k+l);
                   7622:          /* for (i=2; i<= nlstate+ndeath ; i ++) */
                   7623:          /*   fprintf(ficgp,"+$%d",k+l+i-1); */
                   7624:          fprintf(ficgp,") t \"l(%d,%d)\" w l",cpt,j);
                   7625:        } /* nlstate */
                   7626:        fprintf(ficgp,", '' ");
                   7627:        fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):(",k1);
                   7628:        for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   7629:          l=(nlstate+ndeath)*(cpt-1) +j;
                   7630:          if(j < nlstate)
                   7631:            fprintf(ficgp,"$%d +",k+l);
                   7632:          else
                   7633:            fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
                   7634:        }
1.264     brouard  7635:        fprintf(ficgp,"\nset out; unset label;\n");
1.238     brouard  7636:       } /* end cpt state*/ 
                   7637:     } /* end covariate */  
                   7638:   } /* end nres */
1.227     brouard  7639:   
1.220     brouard  7640: /* 6eme */
1.202     brouard  7641:   /* CV preval stable (period) for each covariate */
1.237     brouard  7642:   for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7643:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7644:     if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7645:       continue;
1.255     brouard  7646:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state of arrival */
1.264     brouard  7647:       strcpy(gplotlabel,"(");      
1.288     brouard  7648:       fprintf(ficgp,"\n#\n#\n#CV preval stable (forward): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
1.225     brouard  7649:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.227     brouard  7650:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7651:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7652:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7653:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7654:        vlv= nbcode[Tvaraff[k]][lv];
                   7655:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7656:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  7657:       }
1.237     brouard  7658:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7659:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7660:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7661:       }        
1.264     brouard  7662:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.211     brouard  7663:       fprintf(ficgp,"\n#\n");
1.223     brouard  7664:       if(invalidvarcomb[k1]){
1.227     brouard  7665:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7666:        continue;
1.223     brouard  7667:       }
1.227     brouard  7668:       
1.241     brouard  7669:       fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"P_"),cpt,k1,nres);
1.264     brouard  7670:       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  7671:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.238     brouard  7672: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  7673:       k=3; /* Offset */
1.255     brouard  7674:       for (i=1; i<= nlstate ; i ++){ /* State of origin */
1.227     brouard  7675:        if(i==1)
                   7676:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7677:        else
                   7678:          fprintf(ficgp,", '' ");
1.255     brouard  7679:        l=(nlstate+ndeath)*(i-1)+1; /* 1, 1+ nlstate+ndeath, 1+2*(nlstate+ndeath) */
1.227     brouard  7680:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   7681:        for (j=2; j<= nlstate ; j ++)
                   7682:          fprintf(ficgp,"+$%d",k+l+j-1);
                   7683:        fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
1.153     brouard  7684:       } /* nlstate */
1.264     brouard  7685:       fprintf(ficgp,"\nset out; unset label;\n");
1.153     brouard  7686:     } /* end cpt state*/ 
                   7687:   } /* end covariate */  
1.227     brouard  7688:   
                   7689:   
1.220     brouard  7690: /* 7eme */
1.296     brouard  7691:   if(prevbcast == 1){
1.288     brouard  7692:     /* CV backward prevalence  for each covariate */
1.237     brouard  7693:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7694:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7695:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7696:        continue;
1.268     brouard  7697:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life origin state */
1.264     brouard  7698:        strcpy(gplotlabel,"(");      
1.288     brouard  7699:        fprintf(ficgp,"\n#\n#\n#CV Backward stable prevalence: 'pijb' files, covariatecombination#=%d state=%d",k1, cpt);
1.227     brouard  7700:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7701:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7702:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7703:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
1.223     brouard  7704:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
1.227     brouard  7705:          vlv= nbcode[Tvaraff[k]][lv];
                   7706:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7707:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.227     brouard  7708:        }
1.237     brouard  7709:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7710:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7711:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7712:        }       
1.264     brouard  7713:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.227     brouard  7714:        fprintf(ficgp,"\n#\n");
                   7715:        if(invalidvarcomb[k1]){
                   7716:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7717:          continue;
                   7718:        }
                   7719:        
1.241     brouard  7720:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PB_"),cpt,k1,nres);
1.268     brouard  7721:        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  7722:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.238     brouard  7723: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.227     brouard  7724:        k=3; /* Offset */
1.268     brouard  7725:        for (i=1; i<= nlstate ; i ++){ /* State of arrival */
1.227     brouard  7726:          if(i==1)
                   7727:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJB_"));
                   7728:          else
                   7729:            fprintf(ficgp,", '' ");
                   7730:          /* l=(nlstate+ndeath)*(i-1)+1; */
1.255     brouard  7731:          l=(nlstate+ndeath)*(cpt-1)+1; /* fixed for i; cpt=1 1, cpt=2 1+ nlstate+ndeath, 1+2*(nlstate+ndeath) */
1.227     brouard  7732:          /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l); /\* a vérifier *\/ */
                   7733:          /* 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  7734:          fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d",k1,k+l+i-1); /* To be verified */
1.227     brouard  7735:          /* for (j=2; j<= nlstate ; j ++) */
                   7736:          /*    fprintf(ficgp,"+$%d",k+l+j-1); */
                   7737:          /*    /\* fprintf(ficgp,"+$%d",k+l+j-1); *\/ */
1.268     brouard  7738:          fprintf(ficgp,") t \"bprev(%d,%d)\" w l",cpt,i);
1.227     brouard  7739:        } /* nlstate */
1.264     brouard  7740:        fprintf(ficgp,"\nset out; unset label;\n");
1.218     brouard  7741:       } /* end cpt state*/ 
                   7742:     } /* end covariate */  
1.296     brouard  7743:   } /* End if prevbcast */
1.218     brouard  7744:   
1.223     brouard  7745:   /* 8eme */
1.218     brouard  7746:   if(prevfcast==1){
1.288     brouard  7747:     /* Projection from cross-sectional to forward stable (period) prevalence for each covariate */
1.218     brouard  7748:     
1.237     brouard  7749:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7750:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7751:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7752:        continue;
1.211     brouard  7753:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.264     brouard  7754:        strcpy(gplotlabel,"(");      
1.288     brouard  7755:        fprintf(ficgp,"\n#\n#\n#Projection of prevalence to forward stable prevalence (period): 'PROJ_' files, covariatecombination#=%d state=%d",k1, cpt);
1.227     brouard  7756:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   7757:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7758:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7759:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7760:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7761:          vlv= nbcode[Tvaraff[k]][lv];
                   7762:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7763:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.227     brouard  7764:        }
1.237     brouard  7765:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7766:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7767:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7768:        }       
1.264     brouard  7769:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.227     brouard  7770:        fprintf(ficgp,"\n#\n");
                   7771:        if(invalidvarcomb[k1]){
                   7772:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7773:          continue;
                   7774:        }
                   7775:        
                   7776:        fprintf(ficgp,"# hpijx=probability over h years, hp.jx is weighted by observed prev\n ");
1.241     brouard  7777:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres);
1.264     brouard  7778:        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  7779:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
1.238     brouard  7780: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.266     brouard  7781: 
                   7782:        /* for (i=1; i<= nlstate+1 ; i ++){  /\* nlstate +1 p11 p21 p.1 *\/ */
                   7783:        istart=nlstate+1; /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7784:        /*istart=1;*/ /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7785:        for (i=istart; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
1.227     brouard  7786:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7787:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   7788:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7789:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
1.266     brouard  7790:          if(i==istart){
1.227     brouard  7791:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"F_"));
                   7792:          }else{
                   7793:            fprintf(ficgp,",\\\n '' ");
                   7794:          }
                   7795:          if(cptcoveff ==0){ /* No covariate */
                   7796:            ioffset=2; /* Age is in 2 */
                   7797:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7798:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7799:            /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7800:            /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7801:            fprintf(ficgp," u %d:(", ioffset); 
1.266     brouard  7802:            if(i==nlstate+1){
1.270     brouard  7803:              fprintf(ficgp," $%d/(1.-$%d)):1 t 'pw.%d' with line lc variable ",        \
1.266     brouard  7804:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   7805:              fprintf(ficgp,",\\\n '' ");
                   7806:              fprintf(ficgp," u %d:(",ioffset); 
1.270     brouard  7807:              fprintf(ficgp," (($1-$2) == %d ) ? $%d/(1.-$%d) : 1/0):1 with labels center not ", \
1.266     brouard  7808:                     offyear,                           \
1.268     brouard  7809:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate );
1.266     brouard  7810:            }else
1.227     brouard  7811:              fprintf(ficgp," $%d/(1.-$%d)) t 'p%d%d' with line ",      \
                   7812:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   7813:          }else{ /* more than 2 covariates */
1.270     brouard  7814:            ioffset=2*cptcoveff+2; /* Age is in 4 or 6 or etc.*/
                   7815:            /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7816:            /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
                   7817:            iyearc=ioffset-1;
                   7818:            iagec=ioffset;
1.227     brouard  7819:            fprintf(ficgp," u %d:(",ioffset); 
                   7820:            kl=0;
                   7821:            strcpy(gplotcondition,"(");
                   7822:            for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                   7823:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
                   7824:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7825:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7826:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7827:              vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   7828:              kl++;
                   7829:              sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                   7830:              kl++;
                   7831:              if(k <cptcoveff && cptcoveff>1)
                   7832:                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   7833:            }
                   7834:            strcpy(gplotcondition+strlen(gplotcondition),")");
                   7835:            /* 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 *\/ */
                   7836:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7837:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7838:            /* ''  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*/
                   7839:            if(i==nlstate+1){
1.270     brouard  7840:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0):%d t 'p.%d' with line lc variable", gplotcondition, \
                   7841:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,iyearc, cpt );
1.266     brouard  7842:              fprintf(ficgp,",\\\n '' ");
1.270     brouard  7843:              fprintf(ficgp," u %d:(",iagec); 
                   7844:              fprintf(ficgp,"%s && (($%d-$%d) == %d ) ? $%d/(1.-$%d) : 1/0):%d with labels center not ", gplotcondition, \
                   7845:                      iyearc, iagec, offyear,                           \
                   7846:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate, iyearc );
1.266     brouard  7847: /*  '' 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  7848:            }else{
                   7849:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \
                   7850:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), ioffset +1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   7851:            }
                   7852:          } /* end if covariate */
                   7853:        } /* nlstate */
1.264     brouard  7854:        fprintf(ficgp,"\nset out; unset label;\n");
1.223     brouard  7855:       } /* end cpt state*/
                   7856:     } /* end covariate */
                   7857:   } /* End if prevfcast */
1.227     brouard  7858:   
1.296     brouard  7859:   if(prevbcast==1){
1.268     brouard  7860:     /* Back projection from cross-sectional to stable (mixed) for each covariate */
                   7861:     
                   7862:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7863:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   7864:       if(m != 1 && TKresult[nres]!= k1)
                   7865:        continue;
                   7866:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
                   7867:        strcpy(gplotlabel,"(");      
                   7868:        fprintf(ficgp,"\n#\n#\n#Back projection of prevalence to stable (mixed) back prevalence: 'BPROJ_' files, covariatecombination#=%d originstate=%d",k1, cpt);
                   7869:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   7870:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7871:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7872:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7873:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7874:          vlv= nbcode[Tvaraff[k]][lv];
                   7875:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   7876:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
                   7877:        }
                   7878:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7879:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7880:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7881:        }       
                   7882:        strcpy(gplotlabel+strlen(gplotlabel),")");
                   7883:        fprintf(ficgp,"\n#\n");
                   7884:        if(invalidvarcomb[k1]){
                   7885:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7886:          continue;
                   7887:        }
                   7888:        
                   7889:        fprintf(ficgp,"# hbijx=backprobability over h years, hb.jx is weighted by observed prev at destination state\n ");
                   7890:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres);
                   7891:        fprintf(ficgp,"set label \"Origin alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
                   7892:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
                   7893: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7894: 
                   7895:        /* for (i=1; i<= nlstate+1 ; i ++){  /\* nlstate +1 p11 p21 p.1 *\/ */
                   7896:        istart=nlstate+1; /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7897:        /*istart=1;*/ /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7898:        for (i=istart; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
                   7899:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7900:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   7901:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7902:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   7903:          if(i==istart){
                   7904:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"FB_"));
                   7905:          }else{
                   7906:            fprintf(ficgp,",\\\n '' ");
                   7907:          }
                   7908:          if(cptcoveff ==0){ /* No covariate */
                   7909:            ioffset=2; /* Age is in 2 */
                   7910:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7911:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7912:            /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7913:            /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7914:            fprintf(ficgp," u %d:(", ioffset); 
                   7915:            if(i==nlstate+1){
1.270     brouard  7916:              fprintf(ficgp," $%d/(1.-$%d)):1 t 'bw%d' with line lc variable ", \
1.268     brouard  7917:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   7918:              fprintf(ficgp,",\\\n '' ");
                   7919:              fprintf(ficgp," u %d:(",ioffset); 
1.270     brouard  7920:              fprintf(ficgp," (($1-$2) == %d ) ? $%d : 1/0):1 with labels center not ", \
1.268     brouard  7921:                     offbyear,                          \
                   7922:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1) );
                   7923:            }else
                   7924:              fprintf(ficgp," $%d/(1.-$%d)) t 'b%d%d' with line ",      \
                   7925:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt,i );
                   7926:          }else{ /* more than 2 covariates */
1.270     brouard  7927:            ioffset=2*cptcoveff+2; /* Age is in 4 or 6 or etc.*/
                   7928:            /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7929:            /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
                   7930:            iyearc=ioffset-1;
                   7931:            iagec=ioffset;
1.268     brouard  7932:            fprintf(ficgp," u %d:(",ioffset); 
                   7933:            kl=0;
                   7934:            strcpy(gplotcondition,"(");
                   7935:            for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                   7936:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
                   7937:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7938:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7939:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7940:              vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   7941:              kl++;
                   7942:              sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                   7943:              kl++;
                   7944:              if(k <cptcoveff && cptcoveff>1)
                   7945:                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   7946:            }
                   7947:            strcpy(gplotcondition+strlen(gplotcondition),")");
                   7948:            /* 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 *\/ */
                   7949:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7950:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7951:            /* ''  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*/
                   7952:            if(i==nlstate+1){
1.270     brouard  7953:              fprintf(ficgp,"%s ? $%d : 1/0):%d t 'bw%d' with line lc variable", gplotcondition, \
                   7954:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),iyearc,cpt );
1.268     brouard  7955:              fprintf(ficgp,",\\\n '' ");
1.270     brouard  7956:              fprintf(ficgp," u %d:(",iagec); 
1.268     brouard  7957:              /* fprintf(ficgp,"%s && (($5-$6) == %d ) ? $%d/(1.-$%d) : 1/0):5 with labels center not ", gplotcondition, \ */
1.270     brouard  7958:              fprintf(ficgp,"%s && (($%d-$%d) == %d ) ? $%d : 1/0):%d with labels center not ", gplotcondition, \
                   7959:                      iyearc,iagec,offbyear,                            \
                   7960:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), iyearc );
1.268     brouard  7961: /*  '' u 6:(($1==1 && $2==0  && $3==2 && $4==0) && (($5-$6) == 1947) ? $10/(1.-$22) : 1/0):5 with labels center boxed not*/
                   7962:            }else{
                   7963:              /* fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \ */
                   7964:              fprintf(ficgp,"%s ? $%d : 1/0) t 'b%d%d' with line ", gplotcondition, \
                   7965:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), cpt,i );
                   7966:            }
                   7967:          } /* end if covariate */
                   7968:        } /* nlstate */
                   7969:        fprintf(ficgp,"\nset out; unset label;\n");
                   7970:       } /* end cpt state*/
                   7971:     } /* end covariate */
1.296     brouard  7972:   } /* End if prevbcast */
1.268     brouard  7973:   
1.227     brouard  7974:   
1.238     brouard  7975:   /* 9eme writing MLE parameters */
                   7976:   fprintf(ficgp,"\n##############\n#9eme MLE estimated parameters\n#############\n");
1.126     brouard  7977:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  7978:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  7979:     for(k=1; k <=(nlstate+ndeath); k++){
                   7980:       if (k != i) {
1.227     brouard  7981:        fprintf(ficgp,"#   current state %d\n",k);
                   7982:        for(j=1; j <=ncovmodel; j++){
                   7983:          fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
                   7984:          jk++; 
                   7985:        }
                   7986:        fprintf(ficgp,"\n");
1.126     brouard  7987:       }
                   7988:     }
1.223     brouard  7989:   }
1.187     brouard  7990:   fprintf(ficgp,"##############\n#\n");
1.227     brouard  7991:   
1.145     brouard  7992:   /*goto avoid;*/
1.238     brouard  7993:   /* 10eme Graphics of probabilities or incidences using written MLE parameters */
                   7994:   fprintf(ficgp,"\n##############\n#10eme Graphics of probabilities or incidences\n#############\n");
1.187     brouard  7995:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   7996:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   7997:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   7998:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   7999:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   8000:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   8001:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   8002:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   8003:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   8004:   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   8005:   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
                   8006:   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   8007:   fprintf(ficgp,"#\n");
1.223     brouard  8008:   for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
1.238     brouard  8009:     fprintf(ficgp,"#Number of graphics: first is logit, 2nd is probabilities, third is incidences per year\n");
1.237     brouard  8010:     fprintf(ficgp,"#model=%s \n",model);
1.238     brouard  8011:     fprintf(ficgp,"# Type of graphic ng=%d\n",ng);
1.264     brouard  8012:     fprintf(ficgp,"#   k1=1 to 2^%d=%d\n",cptcoveff,m);/* to be checked */
                   8013:     for(k1=1; k1 <=m; k1++)  /* For each combination of covariate */
1.237     brouard  8014:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.264     brouard  8015:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  8016:        continue;
1.264     brouard  8017:       fprintf(ficgp,"\n\n# Combination of dummy  k1=%d which is ",k1);
                   8018:       strcpy(gplotlabel,"(");
1.276     brouard  8019:       /*sprintf(gplotlabel+strlen(gplotlabel)," Dummy combination %d ",k1);*/
1.264     brouard  8020:       for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   8021:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   8022:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   8023:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   8024:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   8025:        vlv= nbcode[Tvaraff[k]][lv];
                   8026:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   8027:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
                   8028:       }
1.237     brouard  8029:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   8030:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  8031:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  8032:       }        
1.264     brouard  8033:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.237     brouard  8034:       fprintf(ficgp,"\n#\n");
1.264     brouard  8035:       fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),k1,ng,nres);
1.276     brouard  8036:       fprintf(ficgp,"\nset key outside ");
                   8037:       /* fprintf(ficgp,"\nset label \"%s\" at graph 1.2,0.5 center rotate font \"Helvetica,12\"\n",gplotlabel); */
                   8038:       fprintf(ficgp,"\nset title \"%s\" font \"Helvetica,12\"\n",gplotlabel);
1.223     brouard  8039:       fprintf(ficgp,"\nset ter svg size 640, 480 ");
                   8040:       if (ng==1){
                   8041:        fprintf(ficgp,"\nset ylabel \"Value of the logit of the model\"\n"); /* exp(a12+b12*x) could be nice */
                   8042:        fprintf(ficgp,"\nunset log y");
                   8043:       }else if (ng==2){
                   8044:        fprintf(ficgp,"\nset ylabel \"Probability\"\n");
                   8045:        fprintf(ficgp,"\nset log y");
                   8046:       }else if (ng==3){
                   8047:        fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
                   8048:        fprintf(ficgp,"\nset log y");
                   8049:       }else
                   8050:        fprintf(ficgp,"\nunset title ");
                   8051:       fprintf(ficgp,"\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
                   8052:       i=1;
                   8053:       for(k2=1; k2<=nlstate; k2++) {
                   8054:        k3=i;
                   8055:        for(k=1; k<=(nlstate+ndeath); k++) {
                   8056:          if (k != k2){
                   8057:            switch( ng) {
                   8058:            case 1:
                   8059:              if(nagesqr==0)
                   8060:                fprintf(ficgp," p%d+p%d*x",i,i+1);
                   8061:              else /* nagesqr =1 */
                   8062:                fprintf(ficgp," p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   8063:              break;
                   8064:            case 2: /* ng=2 */
                   8065:              if(nagesqr==0)
                   8066:                fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   8067:              else /* nagesqr =1 */
                   8068:                fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   8069:              break;
                   8070:            case 3:
                   8071:              if(nagesqr==0)
                   8072:                fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   8073:              else /* nagesqr =1 */
                   8074:                fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                   8075:              break;
                   8076:            }
                   8077:            ij=1;/* To be checked else nbcode[0][0] wrong */
1.237     brouard  8078:            ijp=1; /* product no age */
                   8079:            /* for(j=3; j <=ncovmodel-nagesqr; j++) { */
                   8080:            for(j=1; j <=cptcovt; j++) { /* For each covariate of the simplified model */
1.223     brouard  8081:              /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
1.268     brouard  8082:              if(cptcovage >0){ /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
                   8083:                if(j==Tage[ij]) { /* Product by age  To be looked at!!*/
                   8084:                  if(ij <=cptcovage) { /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
                   8085:                    if(DummyV[j]==0){
                   8086:                      fprintf(ficgp,"+p%d*%d*x",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]);;
                   8087:                    }else{ /* quantitative */
                   8088:                      fprintf(ficgp,"+p%d*%f*x",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /* Tqinvresult in decoderesult */
                   8089:                      /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
                   8090:                    }
                   8091:                    ij++;
1.237     brouard  8092:                  }
1.268     brouard  8093:                } 
                   8094:              }else if(cptcovprod >0){
                   8095:                if(j==Tprod[ijp]) { /* */ 
                   8096:                  /* printf("Tprod[%d]=%d, j=%d\n", ij, Tprod[ijp], j); */
                   8097:                  if(ijp <=cptcovprod) { /* Product */
                   8098:                    if(DummyV[Tvard[ijp][1]]==0){/* Vn is dummy */
                   8099:                      if(DummyV[Tvard[ijp][2]]==0){/* Vn and Vm are dummy */
                   8100:                        /* 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)]); */
                   8101:                        fprintf(ficgp,"+p%d*%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tinvresult[nres][Tvard[ijp][2]]);
                   8102:                      }else{ /* Vn is dummy and Vm is quanti */
                   8103:                        /* fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,nbcode[Tvard[ijp][1]][codtabm(k1,j)],Tqinvresult[nres][Tvard[ijp][2]]); */
                   8104:                        fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
                   8105:                      }
                   8106:                    }else{ /* Vn*Vm Vn is quanti */
                   8107:                      if(DummyV[Tvard[ijp][2]]==0){
                   8108:                        fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][2]],Tqinvresult[nres][Tvard[ijp][1]]);
                   8109:                      }else{ /* Both quanti */
                   8110:                        fprintf(ficgp,"+p%d*%f*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
                   8111:                      }
1.237     brouard  8112:                    }
1.268     brouard  8113:                    ijp++;
1.237     brouard  8114:                  }
1.268     brouard  8115:                } /* end Tprod */
1.237     brouard  8116:              } else{  /* simple covariate */
1.264     brouard  8117:                /* fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,nbcode[Tvar[j]][codtabm(k1,j)]); /\* Valgrind bug nbcode *\/ */
1.237     brouard  8118:                if(Dummy[j]==0){
                   8119:                  fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]); /*  */
                   8120:                }else{ /* quantitative */
                   8121:                  fprintf(ficgp,"+p%d*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /* */
1.264     brouard  8122:                  /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
1.223     brouard  8123:                }
1.237     brouard  8124:              } /* end simple */
                   8125:            } /* end j */
1.223     brouard  8126:          }else{
                   8127:            i=i-ncovmodel;
                   8128:            if(ng !=1 ) /* For logit formula of log p11 is more difficult to get */
                   8129:              fprintf(ficgp," (1.");
                   8130:          }
1.227     brouard  8131:          
1.223     brouard  8132:          if(ng != 1){
                   8133:            fprintf(ficgp,")/(1");
1.227     brouard  8134:            
1.264     brouard  8135:            for(cpt=1; cpt <=nlstate; cpt++){ 
1.223     brouard  8136:              if(nagesqr==0)
1.264     brouard  8137:                fprintf(ficgp,"+exp(p%d+p%d*x",k3+(cpt-1)*ncovmodel,k3+(cpt-1)*ncovmodel+1);
1.223     brouard  8138:              else /* nagesqr =1 */
1.264     brouard  8139:                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  8140:               
1.223     brouard  8141:              ij=1;
                   8142:              for(j=3; j <=ncovmodel-nagesqr; j++){
1.268     brouard  8143:                 if(cptcovage >0){ 
                   8144:                   if((j-2)==Tage[ij]) { /* Bug valgrind */
                   8145:                     if(ij <=cptcovage) { /* Bug valgrind */
                   8146:                       fprintf(ficgp,"+p%d*%d*x",k3+(cpt-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(k1,j-2)]);
                   8147:                       /* fprintf(ficgp,"+p%d*%d*x",k3+(cpt-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
                   8148:                       ij++;
                   8149:                     }
                   8150:                   }
                   8151:                 }else
                   8152:                   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  8153:              }
                   8154:              fprintf(ficgp,")");
                   8155:            }
                   8156:            fprintf(ficgp,")");
                   8157:            if(ng ==2)
1.276     brouard  8158:              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  8159:            else /* ng= 3 */
1.276     brouard  8160:              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  8161:          }else{ /* end ng <> 1 */
                   8162:            if( k !=k2) /* logit p11 is hard to draw */
1.276     brouard  8163:              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  8164:          }
                   8165:          if ((k+k2)!= (nlstate*2+ndeath) && ng != 1)
                   8166:            fprintf(ficgp,",");
                   8167:          if (ng == 1 && k!=k2 && (k+k2)!= (nlstate*2+ndeath))
                   8168:            fprintf(ficgp,",");
                   8169:          i=i+ncovmodel;
                   8170:        } /* end k */
                   8171:       } /* end k2 */
1.276     brouard  8172:       /* fprintf(ficgp,"\n set out; unset label;set key default;\n"); */
                   8173:       fprintf(ficgp,"\n set out; unset title;set key default;\n");
1.264     brouard  8174:     } /* end k1 */
1.223     brouard  8175:   } /* end ng */
                   8176:   /* avoid: */
                   8177:   fflush(ficgp); 
1.126     brouard  8178: }  /* end gnuplot */
                   8179: 
                   8180: 
                   8181: /*************** Moving average **************/
1.219     brouard  8182: /* int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav, double bageout, double fageout){ */
1.222     brouard  8183:  int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav){
1.218     brouard  8184:    
1.222     brouard  8185:    int i, cpt, cptcod;
                   8186:    int modcovmax =1;
                   8187:    int mobilavrange, mob;
                   8188:    int iage=0;
1.288     brouard  8189:    int firstA1=0, firstA2=0;
1.222     brouard  8190: 
1.266     brouard  8191:    double sum=0., sumr=0.;
1.222     brouard  8192:    double age;
1.266     brouard  8193:    double *sumnewp, *sumnewm, *sumnewmr;
                   8194:    double *agemingood, *agemaxgood; 
                   8195:    double *agemingoodr, *agemaxgoodr; 
1.222     brouard  8196:   
                   8197:   
1.278     brouard  8198:    /* modcovmax=2*cptcoveff;  Max number of modalities. We suppose  */
                   8199:    /*             a covariate has 2 modalities, should be equal to ncovcombmax   */
1.222     brouard  8200: 
                   8201:    sumnewp = vector(1,ncovcombmax);
                   8202:    sumnewm = vector(1,ncovcombmax);
1.266     brouard  8203:    sumnewmr = vector(1,ncovcombmax);
1.222     brouard  8204:    agemingood = vector(1,ncovcombmax); 
1.266     brouard  8205:    agemingoodr = vector(1,ncovcombmax);        
1.222     brouard  8206:    agemaxgood = vector(1,ncovcombmax);
1.266     brouard  8207:    agemaxgoodr = vector(1,ncovcombmax);
1.222     brouard  8208: 
                   8209:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
1.266     brouard  8210:      sumnewm[cptcod]=0.; sumnewmr[cptcod]=0.;
1.222     brouard  8211:      sumnewp[cptcod]=0.;
1.266     brouard  8212:      agemingood[cptcod]=0, agemingoodr[cptcod]=0;
                   8213:      agemaxgood[cptcod]=0, agemaxgoodr[cptcod]=0;
1.222     brouard  8214:    }
                   8215:    if (cptcovn<1) ncovcombmax=1; /* At least 1 pass */
                   8216:   
1.266     brouard  8217:    if(mobilav==-1 || mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   8218:      if(mobilav==1 || mobilav==-1) mobilavrange=5; /* default */
1.222     brouard  8219:      else mobilavrange=mobilav;
                   8220:      for (age=bage; age<=fage; age++)
                   8221:        for (i=1; i<=nlstate;i++)
                   8222:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++)
                   8223:           mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8224:      /* We keep the original values on the extreme ages bage, fage and for 
                   8225:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   8226:        we use a 5 terms etc. until the borders are no more concerned. 
                   8227:      */ 
                   8228:      for (mob=3;mob <=mobilavrange;mob=mob+2){
                   8229:        for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
1.266     brouard  8230:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   8231:           sumnewm[cptcod]=0.;
                   8232:           for (i=1; i<=nlstate;i++){
1.222     brouard  8233:             mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                   8234:             for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   8235:               mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   8236:               mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                   8237:             }
                   8238:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
1.266     brouard  8239:             sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8240:           } /* end i */
                   8241:           if(sumnewm[cptcod] >1.e-3) mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/sumnewm[cptcod]; /* Rescaling to sum one */
                   8242:         } /* end cptcod */
1.222     brouard  8243:        }/* end age */
                   8244:      }/* end mob */
1.266     brouard  8245:    }else{
                   8246:      printf("Error internal in movingaverage, mobilav=%d.\n",mobilav);
1.222     brouard  8247:      return -1;
1.266     brouard  8248:    }
                   8249: 
                   8250:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){ /* for each combination */
1.222     brouard  8251:      /* for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ */
                   8252:      if(invalidvarcomb[cptcod]){
                   8253:        printf("\nCombination (%d) ignored because no cases \n",cptcod); 
                   8254:        continue;
                   8255:      }
1.219     brouard  8256: 
1.266     brouard  8257:      for (age=fage-(mob-1)/2; age>=bage+(mob-1)/2; age--){ /*looking for the youngest and oldest good age */
                   8258:        sumnewm[cptcod]=0.;
                   8259:        sumnewmr[cptcod]=0.;
                   8260:        for (i=1; i<=nlstate;i++){
                   8261:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8262:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8263:        }
                   8264:        if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8265:         agemingoodr[cptcod]=age;
                   8266:        }
                   8267:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8268:           agemingood[cptcod]=age;
                   8269:        }
                   8270:      } /* age */
                   8271:      for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ /*looking for the youngest and oldest good age */
1.222     brouard  8272:        sumnewm[cptcod]=0.;
1.266     brouard  8273:        sumnewmr[cptcod]=0.;
1.222     brouard  8274:        for (i=1; i<=nlstate;i++){
                   8275:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
1.266     brouard  8276:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8277:        }
                   8278:        if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8279:         agemaxgoodr[cptcod]=age;
1.222     brouard  8280:        }
                   8281:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
1.266     brouard  8282:         agemaxgood[cptcod]=age;
                   8283:        }
                   8284:      } /* age */
                   8285:      /* Thus we have agemingood and agemaxgood as well as goodr for raw (preobs) */
                   8286:      /* but they will change */
1.288     brouard  8287:      firstA1=0;firstA2=0;
1.266     brouard  8288:      for (age=fage-(mob-1)/2; age>=bage; age--){/* From oldest to youngest, filling up to the youngest */
                   8289:        sumnewm[cptcod]=0.;
                   8290:        sumnewmr[cptcod]=0.;
                   8291:        for (i=1; i<=nlstate;i++){
                   8292:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8293:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8294:        }
                   8295:        if(mobilav==-1){ /* Forcing raw ages if good else agemingood */
                   8296:         if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8297:           agemaxgoodr[cptcod]=age;  /* age min */
                   8298:           for (i=1; i<=nlstate;i++)
                   8299:             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8300:         }else{ /* bad we change the value with the values of good ages */
                   8301:           for (i=1; i<=nlstate;i++){
                   8302:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgoodr[cptcod]][i][cptcod];
                   8303:           } /* i */
                   8304:         } /* end bad */
                   8305:        }else{
                   8306:         if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8307:           agemaxgood[cptcod]=age;
                   8308:         }else{ /* bad we change the value with the values of good ages */
                   8309:           for (i=1; i<=nlstate;i++){
                   8310:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   8311:           } /* i */
                   8312:         } /* end bad */
                   8313:        }/* end else */
                   8314:        sum=0.;sumr=0.;
                   8315:        for (i=1; i<=nlstate;i++){
                   8316:         sum+=mobaverage[(int)age][i][cptcod];
                   8317:         sumr+=probs[(int)age][i][cptcod];
                   8318:        }
                   8319:        if(fabs(sum - 1.) > 1.e-3) { /* bad */
1.288     brouard  8320:         if(!firstA1){
                   8321:           firstA1=1;
                   8322:           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);
                   8323:         }
                   8324:         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  8325:        } /* end bad */
                   8326:        /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   8327:        if(fabs(sumr - 1.) > 1.e-3) { /* bad */
1.288     brouard  8328:         if(!firstA2){
                   8329:           firstA2=1;
                   8330:           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);
                   8331:         }
                   8332:         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  8333:        } /* end bad */
                   8334:      }/* age */
1.266     brouard  8335: 
                   8336:      for (age=bage+(mob-1)/2; age<=fage; age++){/* From youngest, finding the oldest wrong */
1.222     brouard  8337:        sumnewm[cptcod]=0.;
1.266     brouard  8338:        sumnewmr[cptcod]=0.;
1.222     brouard  8339:        for (i=1; i<=nlstate;i++){
                   8340:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
1.266     brouard  8341:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8342:        } 
                   8343:        if(mobilav==-1){ /* Forcing raw ages if good else agemingood */
                   8344:         if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good */
                   8345:           agemingoodr[cptcod]=age;
                   8346:           for (i=1; i<=nlstate;i++)
                   8347:             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8348:         }else{ /* bad we change the value with the values of good ages */
                   8349:           for (i=1; i<=nlstate;i++){
                   8350:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingoodr[cptcod]][i][cptcod];
                   8351:           } /* i */
                   8352:         } /* end bad */
                   8353:        }else{
                   8354:         if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8355:           agemingood[cptcod]=age;
                   8356:         }else{ /* bad */
                   8357:           for (i=1; i<=nlstate;i++){
                   8358:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   8359:           } /* i */
                   8360:         } /* end bad */
                   8361:        }/* end else */
                   8362:        sum=0.;sumr=0.;
                   8363:        for (i=1; i<=nlstate;i++){
                   8364:         sum+=mobaverage[(int)age][i][cptcod];
                   8365:         sumr+=mobaverage[(int)age][i][cptcod];
1.222     brouard  8366:        }
1.266     brouard  8367:        if(fabs(sum - 1.) > 1.e-3) { /* bad */
1.268     brouard  8368:         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  8369:        } /* end bad */
                   8370:        /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   8371:        if(fabs(sumr - 1.) > 1.e-3) { /* bad */
1.268     brouard  8372:         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  8373:        } /* end bad */
                   8374:      }/* age */
1.266     brouard  8375: 
1.222     brouard  8376:                
                   8377:      for (age=bage; age<=fage; age++){
1.235     brouard  8378:        /* printf("%d %d ", cptcod, (int)age); */
1.222     brouard  8379:        sumnewp[cptcod]=0.;
                   8380:        sumnewm[cptcod]=0.;
                   8381:        for (i=1; i<=nlstate;i++){
                   8382:         sumnewp[cptcod]+=probs[(int)age][i][cptcod];
                   8383:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8384:         /* printf("%.4f %.4f ",probs[(int)age][i][cptcod], mobaverage[(int)age][i][cptcod]); */
                   8385:        }
                   8386:        /* printf("%.4f %.4f \n",sumnewp[cptcod], sumnewm[cptcod]); */
                   8387:      }
                   8388:      /* printf("\n"); */
                   8389:      /* } */
1.266     brouard  8390: 
1.222     brouard  8391:      /* brutal averaging */
1.266     brouard  8392:      /* for (i=1; i<=nlstate;i++){ */
                   8393:      /*   for (age=1; age<=bage; age++){ */
                   8394:      /*         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
                   8395:      /*         /\* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); *\/ */
                   8396:      /*   }     */
                   8397:      /*   for (age=fage; age<=AGESUP; age++){ */
                   8398:      /*         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod]; */
                   8399:      /*         /\* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); *\/ */
                   8400:      /*   } */
                   8401:      /* } /\* end i status *\/ */
                   8402:      /* for (i=nlstate+1; i<=nlstate+ndeath;i++){ */
                   8403:      /*   for (age=1; age<=AGESUP; age++){ */
                   8404:      /*         /\*printf("i=%d, age=%d, cptcod=%d\n",i, (int)age, cptcod);*\/ */
                   8405:      /*         mobaverage[(int)age][i][cptcod]=0.; */
                   8406:      /*   } */
                   8407:      /* } */
1.222     brouard  8408:    }/* end cptcod */
1.266     brouard  8409:    free_vector(agemaxgoodr,1, ncovcombmax);
                   8410:    free_vector(agemaxgood,1, ncovcombmax);
                   8411:    free_vector(agemingood,1, ncovcombmax);
                   8412:    free_vector(agemingoodr,1, ncovcombmax);
                   8413:    free_vector(sumnewmr,1, ncovcombmax);
1.222     brouard  8414:    free_vector(sumnewm,1, ncovcombmax);
                   8415:    free_vector(sumnewp,1, ncovcombmax);
                   8416:    return 0;
                   8417:  }/* End movingaverage */
1.218     brouard  8418:  
1.126     brouard  8419: 
1.296     brouard  8420:  
1.126     brouard  8421: /************** Forecasting ******************/
1.296     brouard  8422: /* 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)*/
                   8423: 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){
                   8424:   /* dateintemean, mean date of interviews
                   8425:      dateprojd, year, month, day of starting projection 
                   8426:      dateprojf date of end of projection;year of end of projection (same day and month as proj1).
1.126     brouard  8427:      agemin, agemax range of age
                   8428:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   8429:   */
1.296     brouard  8430:   /* double anprojd, mprojd, jprojd; */
                   8431:   /* double anprojf, mprojf, jprojf; */
1.267     brouard  8432:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
1.126     brouard  8433:   double agec; /* generic age */
1.296     brouard  8434:   double agelim, ppij, yp,yp1,yp2;
1.126     brouard  8435:   double *popeffectif,*popcount;
                   8436:   double ***p3mat;
1.218     brouard  8437:   /* double ***mobaverage; */
1.126     brouard  8438:   char fileresf[FILENAMELENGTH];
                   8439: 
                   8440:   agelim=AGESUP;
1.211     brouard  8441:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   8442:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   8443:      We still use firstpass and lastpass as another selection.
                   8444:   */
1.214     brouard  8445:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   8446:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
1.126     brouard  8447:  
1.201     brouard  8448:   strcpy(fileresf,"F_"); 
                   8449:   strcat(fileresf,fileresu);
1.126     brouard  8450:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   8451:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   8452:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   8453:   }
1.235     brouard  8454:   printf("\nComputing forecasting: result on file '%s', please wait... \n", fileresf);
                   8455:   fprintf(ficlog,"\nComputing forecasting: result on file '%s', please wait... \n", fileresf);
1.126     brouard  8456: 
1.225     brouard  8457:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
1.126     brouard  8458: 
                   8459: 
                   8460:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8461:   if (stepm<=12) stepsize=1;
                   8462:   if(estepm < stepm){
                   8463:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   8464:   }
1.270     brouard  8465:   else{
                   8466:     hstepm=estepm;   
                   8467:   }
                   8468:   if(estepm > stepm){ /* Yes every two year */
                   8469:     stepsize=2;
                   8470:   }
1.296     brouard  8471:   hstepm=hstepm/stepm;
1.126     brouard  8472: 
1.296     brouard  8473:   
                   8474:   /* yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
                   8475:   /*                              fractional in yp1 *\/ */
                   8476:   /* aintmean=yp; */
                   8477:   /* yp2=modf((yp1*12),&yp); */
                   8478:   /* mintmean=yp; */
                   8479:   /* yp1=modf((yp2*30.5),&yp); */
                   8480:   /* jintmean=yp; */
                   8481:   /* if(jintmean==0) jintmean=1; */
                   8482:   /* if(mintmean==0) mintmean=1; */
1.126     brouard  8483: 
1.296     brouard  8484: 
                   8485:   /* date2dmy(dateintmean,&jintmean,&mintmean,&aintmean); */
                   8486:   /* date2dmy(dateprojd,&jprojd, &mprojd, &anprojd); */
                   8487:   /* date2dmy(dateprojf,&jprojf, &mprojf, &anprojf); */
1.227     brouard  8488:   i1=pow(2,cptcoveff);
1.126     brouard  8489:   if (cptcovn < 1){i1=1;}
                   8490:   
1.296     brouard  8491:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2); 
1.126     brouard  8492:   
                   8493:   fprintf(ficresf,"#****** Routine prevforecast **\n");
1.227     brouard  8494:   
1.126     brouard  8495: /*           if (h==(int)(YEARM*yearp)){ */
1.235     brouard  8496:   for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8497:   for(k=1; k<=i1;k++){
1.253     brouard  8498:     if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  8499:       continue;
1.227     brouard  8500:     if(invalidvarcomb[k]){
                   8501:       printf("\nCombination (%d) projection ignored because no cases \n",k); 
                   8502:       continue;
                   8503:     }
                   8504:     fprintf(ficresf,"\n#****** hpijx=probability over h years, hp.jx is weighted by observed prev \n#");
                   8505:     for(j=1;j<=cptcoveff;j++) {
                   8506:       fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8507:     }
1.235     brouard  8508:     for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.238     brouard  8509:       fprintf(ficresf," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.235     brouard  8510:     }
1.227     brouard  8511:     fprintf(ficresf," yearproj age");
                   8512:     for(j=1; j<=nlstate+ndeath;j++){ 
                   8513:       for(i=1; i<=nlstate;i++)               
                   8514:        fprintf(ficresf," p%d%d",i,j);
                   8515:       fprintf(ficresf," wp.%d",j);
                   8516:     }
1.296     brouard  8517:     for (yearp=0; yearp<=(anprojf-anprojd);yearp +=stepsize) {
1.227     brouard  8518:       fprintf(ficresf,"\n");
1.296     brouard  8519:       fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jprojd,mprojd,anprojd+yearp);   
1.270     brouard  8520:       /* for (agec=fage; agec>=(ageminpar-1); agec--){  */
                   8521:       for (agec=fage; agec>=(bage); agec--){ 
1.227     brouard  8522:        nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   8523:        nhstepm = nhstepm/hstepm; 
                   8524:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8525:        oldm=oldms;savm=savms;
1.268     brouard  8526:        /* We compute pii at age agec over nhstepm);*/
1.235     brouard  8527:        hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k,nres);
1.268     brouard  8528:        /* Then we print p3mat for h corresponding to the right agec+h*stepms=yearp */
1.227     brouard  8529:        for (h=0; h<=nhstepm; h++){
                   8530:          if (h*hstepm/YEARM*stepm ==yearp) {
1.268     brouard  8531:            break;
                   8532:          }
                   8533:        }
                   8534:        fprintf(ficresf,"\n");
                   8535:        for(j=1;j<=cptcoveff;j++) 
                   8536:          fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.296     brouard  8537:        fprintf(ficresf,"%.f %.f ",anprojd+yearp,agec+h*hstepm/YEARM*stepm);
1.268     brouard  8538:        
                   8539:        for(j=1; j<=nlstate+ndeath;j++) {
                   8540:          ppij=0.;
                   8541:          for(i=1; i<=nlstate;i++) {
1.278     brouard  8542:            if (mobilav>=1)
                   8543:             ppij=ppij+p3mat[i][j][h]*prev[(int)agec][i][k];
                   8544:            else { /* even if mobilav==-1 we use mobaverage, probs may not sums to 1 */
                   8545:                ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k];
                   8546:            }
1.268     brouard  8547:            fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   8548:          } /* end i */
                   8549:          fprintf(ficresf," %.3f", ppij);
                   8550:        }/* end j */
1.227     brouard  8551:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8552:       } /* end agec */
1.266     brouard  8553:       /* diffyear=(int) anproj1+yearp-ageminpar-1; */
                   8554:       /*printf("Prevforecast %d+%d-%d=diffyear=%d\n",(int) anproj1, (int)yearp,(int)ageminpar,(int) anproj1-(int)ageminpar);*/
1.227     brouard  8555:     } /* end yearp */
                   8556:   } /* end  k */
1.219     brouard  8557:        
1.126     brouard  8558:   fclose(ficresf);
1.215     brouard  8559:   printf("End of Computing forecasting \n");
                   8560:   fprintf(ficlog,"End of Computing forecasting\n");
                   8561: 
1.126     brouard  8562: }
                   8563: 
1.269     brouard  8564: /************** Back Forecasting ******************/
1.296     brouard  8565:  /* 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){ */
                   8566:  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){
                   8567:   /* back1, year, month, day of starting backprojection
1.267     brouard  8568:      agemin, agemax range of age
                   8569:      dateprev1 dateprev2 range of dates during which prevalence is computed
1.269     brouard  8570:      anback2 year of end of backprojection (same day and month as back1).
                   8571:      prevacurrent and prev are prevalences.
1.267     brouard  8572:   */
                   8573:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
                   8574:   double agec; /* generic age */
1.302     brouard  8575:   double agelim, ppij, ppi, yp,yp1,yp2; /* ,jintmean,mintmean,aintmean;*/
1.267     brouard  8576:   double *popeffectif,*popcount;
                   8577:   double ***p3mat;
                   8578:   /* double ***mobaverage; */
                   8579:   char fileresfb[FILENAMELENGTH];
                   8580:  
1.268     brouard  8581:   agelim=AGEINF;
1.267     brouard  8582:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   8583:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   8584:      We still use firstpass and lastpass as another selection.
                   8585:   */
                   8586:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   8587:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
                   8588: 
                   8589:   /*Do we need to compute prevalence again?*/
                   8590: 
                   8591:   /* prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
                   8592:   
                   8593:   strcpy(fileresfb,"FB_");
                   8594:   strcat(fileresfb,fileresu);
                   8595:   if((ficresfb=fopen(fileresfb,"w"))==NULL) {
                   8596:     printf("Problem with back forecast resultfile: %s\n", fileresfb);
                   8597:     fprintf(ficlog,"Problem with back forecast resultfile: %s\n", fileresfb);
                   8598:   }
                   8599:   printf("\nComputing back forecasting: result on file '%s', please wait... \n", fileresfb);
                   8600:   fprintf(ficlog,"\nComputing back forecasting: result on file '%s', please wait... \n", fileresfb);
                   8601:   
                   8602:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   8603:   
                   8604:    
                   8605:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8606:   if (stepm<=12) stepsize=1;
                   8607:   if(estepm < stepm){
                   8608:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   8609:   }
1.270     brouard  8610:   else{
                   8611:     hstepm=estepm;   
                   8612:   }
                   8613:   if(estepm >= stepm){ /* Yes every two year */
                   8614:     stepsize=2;
                   8615:   }
1.267     brouard  8616:   
                   8617:   hstepm=hstepm/stepm;
1.296     brouard  8618:   /* yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
                   8619:   /*                              fractional in yp1 *\/ */
                   8620:   /* aintmean=yp; */
                   8621:   /* yp2=modf((yp1*12),&yp); */
                   8622:   /* mintmean=yp; */
                   8623:   /* yp1=modf((yp2*30.5),&yp); */
                   8624:   /* jintmean=yp; */
                   8625:   /* if(jintmean==0) jintmean=1; */
                   8626:   /* if(mintmean==0) jintmean=1; */
1.267     brouard  8627:   
                   8628:   i1=pow(2,cptcoveff);
                   8629:   if (cptcovn < 1){i1=1;}
                   8630:   
1.296     brouard  8631:   fprintf(ficresfb,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2);
                   8632:   printf("# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2);
1.267     brouard  8633:   
                   8634:   fprintf(ficresfb,"#****** Routine prevbackforecast **\n");
                   8635:   
                   8636:   for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8637:   for(k=1; k<=i1;k++){
                   8638:     if(i1 != 1 && TKresult[nres]!= k)
                   8639:       continue;
                   8640:     if(invalidvarcomb[k]){
                   8641:       printf("\nCombination (%d) projection ignored because no cases \n",k); 
                   8642:       continue;
                   8643:     }
1.268     brouard  8644:     fprintf(ficresfb,"\n#****** hbijx=probability over h years, hb.jx is weighted by observed prev \n#");
1.267     brouard  8645:     for(j=1;j<=cptcoveff;j++) {
                   8646:       fprintf(ficresfb," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8647:     }
                   8648:     for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   8649:       fprintf(ficresf," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   8650:     }
                   8651:     fprintf(ficresfb," yearbproj age");
                   8652:     for(j=1; j<=nlstate+ndeath;j++){
                   8653:       for(i=1; i<=nlstate;i++)
1.268     brouard  8654:        fprintf(ficresfb," b%d%d",i,j);
                   8655:       fprintf(ficresfb," b.%d",j);
1.267     brouard  8656:     }
1.296     brouard  8657:     for (yearp=0; yearp>=(anbackf-anbackd);yearp -=stepsize) {
1.267     brouard  8658:       /* for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {  */
                   8659:       fprintf(ficresfb,"\n");
1.296     brouard  8660:       fprintf(ficresfb,"\n# Back Forecasting at date %.lf/%.lf/%.lf ",jbackd,mbackd,anbackd+yearp);
1.273     brouard  8661:       /* printf("\n# Back Forecasting at date %.lf/%.lf/%.lf ",jback1,mback1,anback1+yearp); */
1.270     brouard  8662:       /* for (agec=bage; agec<=agemax-1; agec++){  /\* testing *\/ */
                   8663:       for (agec=bage; agec<=fage; agec++){  /* testing */
1.268     brouard  8664:        /* We compute bij at age agec over nhstepm, nhstepm decreases when agec increases because of agemax;*/
1.271     brouard  8665:        nhstepm=(int) (agec-agelim) *YEARM/stepm;/*     nhstepm=(int) rint((agec-agelim)*YEARM/stepm);*/
1.267     brouard  8666:        nhstepm = nhstepm/hstepm;
                   8667:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8668:        oldm=oldms;savm=savms;
1.268     brouard  8669:        /* computes hbxij at age agec over 1 to nhstepm */
1.271     brouard  8670:        /* printf("####prevbackforecast debug  agec=%.2f nhstepm=%d\n",agec, nhstepm);fflush(stdout); */
1.267     brouard  8671:        hbxij(p3mat,nhstepm,agec,hstepm,p,prevacurrent,nlstate,stepm, k, nres);
1.268     brouard  8672:        /* hpxij(p3mat,nhstepm,agec,hstepm,p,             nlstate,stepm,oldm,savm, k,nres); */
                   8673:        /* Then we print p3mat for h corresponding to the right agec+h*stepms=yearp */
                   8674:        /* printf(" agec=%.2f\n",agec);fflush(stdout); */
1.267     brouard  8675:        for (h=0; h<=nhstepm; h++){
1.268     brouard  8676:          if (h*hstepm/YEARM*stepm ==-yearp) {
                   8677:            break;
                   8678:          }
                   8679:        }
                   8680:        fprintf(ficresfb,"\n");
                   8681:        for(j=1;j<=cptcoveff;j++)
                   8682:          fprintf(ficresfb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.296     brouard  8683:        fprintf(ficresfb,"%.f %.f ",anbackd+yearp,agec-h*hstepm/YEARM*stepm);
1.268     brouard  8684:        for(i=1; i<=nlstate+ndeath;i++) {
                   8685:          ppij=0.;ppi=0.;
                   8686:          for(j=1; j<=nlstate;j++) {
                   8687:            /* if (mobilav==1) */
1.269     brouard  8688:            ppij=ppij+p3mat[i][j][h]*prevacurrent[(int)agec][j][k];
                   8689:            ppi=ppi+prevacurrent[(int)agec][j][k];
                   8690:            /* ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][j][k]; */
                   8691:            /* ppi=ppi+mobaverage[(int)agec][j][k]; */
1.267     brouard  8692:              /* else { */
                   8693:              /*        ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k]; */
                   8694:              /* } */
1.268     brouard  8695:            fprintf(ficresfb," %.3f", p3mat[i][j][h]);
                   8696:          } /* end j */
                   8697:          if(ppi <0.99){
                   8698:            printf("Error in prevbackforecast, prevalence doesn't sum to 1 for state %d: %3f\n",i, ppi);
                   8699:            fprintf(ficlog,"Error in prevbackforecast, prevalence doesn't sum to 1 for state %d: %3f\n",i, ppi);
                   8700:          }
                   8701:          fprintf(ficresfb," %.3f", ppij);
                   8702:        }/* end j */
1.267     brouard  8703:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8704:       } /* end agec */
                   8705:     } /* end yearp */
                   8706:   } /* end k */
1.217     brouard  8707:   
1.267     brouard  8708:   /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
1.217     brouard  8709:   
1.267     brouard  8710:   fclose(ficresfb);
                   8711:   printf("End of Computing Back forecasting \n");
                   8712:   fprintf(ficlog,"End of Computing Back forecasting\n");
1.218     brouard  8713:        
1.267     brouard  8714: }
1.217     brouard  8715: 
1.269     brouard  8716: /* Variance of prevalence limit: varprlim */
                   8717:  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  8718:     /*------- Variance of forward period (stable) prevalence------*/   
1.269     brouard  8719:  
                   8720:    char fileresvpl[FILENAMELENGTH];  
                   8721:    FILE *ficresvpl;
                   8722:    double **oldm, **savm;
                   8723:    double **varpl; /* Variances of prevalence limits by age */   
                   8724:    int i1, k, nres, j ;
                   8725:    
                   8726:     strcpy(fileresvpl,"VPL_");
                   8727:     strcat(fileresvpl,fileresu);
                   8728:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
1.288     brouard  8729:       printf("Problem with variance of forward period (stable) prevalence  resultfile: %s\n", fileresvpl);
1.269     brouard  8730:       exit(0);
                   8731:     }
1.288     brouard  8732:     printf("Computing Variance-covariance of forward period (stable) prevalence: file '%s' ...", fileresvpl);fflush(stdout);
                   8733:     fprintf(ficlog, "Computing Variance-covariance of forward period (stable) prevalence: file '%s' ...", fileresvpl);fflush(ficlog);
1.269     brouard  8734:     
                   8735:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   8736:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   8737:     
                   8738:     i1=pow(2,cptcoveff);
                   8739:     if (cptcovn < 1){i1=1;}
                   8740: 
                   8741:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8742:     for(k=1; k<=i1;k++){
                   8743:       if(i1 != 1 && TKresult[nres]!= k)
                   8744:        continue;
                   8745:       fprintf(ficresvpl,"\n#****** ");
                   8746:       printf("\n#****** ");
                   8747:       fprintf(ficlog,"\n#****** ");
                   8748:       for(j=1;j<=cptcoveff;j++) {
                   8749:        fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8750:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8751:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8752:       }
                   8753:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   8754:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8755:        fprintf(ficresvpl," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8756:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8757:       }        
                   8758:       fprintf(ficresvpl,"******\n");
                   8759:       printf("******\n");
                   8760:       fprintf(ficlog,"******\n");
                   8761:       
                   8762:       varpl=matrix(1,nlstate,(int) bage, (int) fage);
                   8763:       oldm=oldms;savm=savms;
                   8764:       varprevlim(fileresvpl, ficresvpl, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, ncvyearp, k, strstart, nres);
                   8765:       free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
                   8766:       /*}*/
                   8767:     }
                   8768:     
                   8769:     fclose(ficresvpl);
1.288     brouard  8770:     printf("done variance-covariance of forward period prevalence\n");fflush(stdout);
                   8771:     fprintf(ficlog,"done variance-covariance of forward period prevalence\n");fflush(ficlog);
1.269     brouard  8772: 
                   8773:  }
                   8774: /* Variance of back prevalence: varbprlim */
                   8775:  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){
                   8776:       /*------- Variance of back (stable) prevalence------*/
                   8777: 
                   8778:    char fileresvbl[FILENAMELENGTH];  
                   8779:    FILE  *ficresvbl;
                   8780: 
                   8781:    double **oldm, **savm;
                   8782:    double **varbpl; /* Variances of back prevalence limits by age */   
                   8783:    int i1, k, nres, j ;
                   8784: 
                   8785:    strcpy(fileresvbl,"VBL_");
                   8786:    strcat(fileresvbl,fileresu);
                   8787:    if((ficresvbl=fopen(fileresvbl,"w"))==NULL) {
                   8788:      printf("Problem with variance of back (stable) prevalence  resultfile: %s\n", fileresvbl);
                   8789:      exit(0);
                   8790:    }
                   8791:    printf("Computing Variance-covariance of back (stable) prevalence: file '%s' ...", fileresvbl);fflush(stdout);
                   8792:    fprintf(ficlog, "Computing Variance-covariance of back (stable) prevalence: file '%s' ...", fileresvbl);fflush(ficlog);
                   8793:    
                   8794:    
                   8795:    i1=pow(2,cptcoveff);
                   8796:    if (cptcovn < 1){i1=1;}
                   8797:    
                   8798:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8799:      for(k=1; k<=i1;k++){
                   8800:        if(i1 != 1 && TKresult[nres]!= k)
                   8801:         continue;
                   8802:        fprintf(ficresvbl,"\n#****** ");
                   8803:        printf("\n#****** ");
                   8804:        fprintf(ficlog,"\n#****** ");
                   8805:        for(j=1;j<=cptcoveff;j++) {
                   8806:         fprintf(ficresvbl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8807:         fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8808:         printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8809:        }
                   8810:        for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   8811:         printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8812:         fprintf(ficresvbl," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8813:         fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8814:        }
                   8815:        fprintf(ficresvbl,"******\n");
                   8816:        printf("******\n");
                   8817:        fprintf(ficlog,"******\n");
                   8818:        
                   8819:        varbpl=matrix(1,nlstate,(int) bage, (int) fage);
                   8820:        oldm=oldms;savm=savms;
                   8821:        
                   8822:        varbrevlim(fileresvbl, ficresvbl, varbpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, bprlim, ftolpl, mobilavproj, ncvyearp, k, strstart, nres);
                   8823:        free_matrix(varbpl,1,nlstate,(int) bage, (int)fage);
                   8824:        /*}*/
                   8825:      }
                   8826:    
                   8827:    fclose(ficresvbl);
                   8828:    printf("done variance-covariance of back prevalence\n");fflush(stdout);
                   8829:    fprintf(ficlog,"done variance-covariance of back prevalence\n");fflush(ficlog);
                   8830: 
                   8831:  } /* End of varbprlim */
                   8832: 
1.126     brouard  8833: /************** Forecasting *****not tested NB*************/
1.227     brouard  8834: /* 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  8835:   
1.227     brouard  8836: /*   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h; */
                   8837: /*   int *popage; */
                   8838: /*   double calagedatem, agelim, kk1, kk2; */
                   8839: /*   double *popeffectif,*popcount; */
                   8840: /*   double ***p3mat,***tabpop,***tabpopprev; */
                   8841: /*   /\* double ***mobaverage; *\/ */
                   8842: /*   char filerespop[FILENAMELENGTH]; */
1.126     brouard  8843: 
1.227     brouard  8844: /*   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8845: /*   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8846: /*   agelim=AGESUP; */
                   8847: /*   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM; */
1.126     brouard  8848:   
1.227     brouard  8849: /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
1.126     brouard  8850:   
                   8851:   
1.227     brouard  8852: /*   strcpy(filerespop,"POP_");  */
                   8853: /*   strcat(filerespop,fileresu); */
                   8854: /*   if((ficrespop=fopen(filerespop,"w"))==NULL) { */
                   8855: /*     printf("Problem with forecast resultfile: %s\n", filerespop); */
                   8856: /*     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop); */
                   8857: /*   } */
                   8858: /*   printf("Computing forecasting: result on file '%s' \n", filerespop); */
                   8859: /*   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop); */
1.126     brouard  8860: 
1.227     brouard  8861: /*   if (cptcoveff==0) ncodemax[cptcoveff]=1; */
1.126     brouard  8862: 
1.227     brouard  8863: /*   /\* if (mobilav!=0) { *\/ */
                   8864: /*   /\*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   8865: /*   /\*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ *\/ */
                   8866: /*   /\*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   8867: /*   /\*     printf(" Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   8868: /*   /\*   } *\/ */
                   8869: /*   /\* } *\/ */
1.126     brouard  8870: 
1.227     brouard  8871: /*   stepsize=(int) (stepm+YEARM-1)/YEARM; */
                   8872: /*   if (stepm<=12) stepsize=1; */
1.126     brouard  8873:   
1.227     brouard  8874: /*   agelim=AGESUP; */
1.126     brouard  8875:   
1.227     brouard  8876: /*   hstepm=1; */
                   8877: /*   hstepm=hstepm/stepm;  */
1.218     brouard  8878:        
1.227     brouard  8879: /*   if (popforecast==1) { */
                   8880: /*     if((ficpop=fopen(popfile,"r"))==NULL) { */
                   8881: /*       printf("Problem with population file : %s\n",popfile);exit(0); */
                   8882: /*       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0); */
                   8883: /*     }  */
                   8884: /*     popage=ivector(0,AGESUP); */
                   8885: /*     popeffectif=vector(0,AGESUP); */
                   8886: /*     popcount=vector(0,AGESUP); */
1.126     brouard  8887:     
1.227     brouard  8888: /*     i=1;    */
                   8889: /*     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1; */
1.218     brouard  8890:     
1.227     brouard  8891: /*     imx=i; */
                   8892: /*     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i]; */
                   8893: /*   } */
1.218     brouard  8894:   
1.227     brouard  8895: /*   for(cptcov=1,k=0;cptcov<=i2;cptcov++){ */
                   8896: /*     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ */
                   8897: /*       k=k+1; */
                   8898: /*       fprintf(ficrespop,"\n#******"); */
                   8899: /*       for(j=1;j<=cptcoveff;j++) { */
                   8900: /*     fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   8901: /*       } */
                   8902: /*       fprintf(ficrespop,"******\n"); */
                   8903: /*       fprintf(ficrespop,"# Age"); */
                   8904: /*       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j); */
                   8905: /*       if (popforecast==1)  fprintf(ficrespop," [Population]"); */
1.126     brouard  8906:       
1.227     brouard  8907: /*       for (cpt=0; cpt<=0;cpt++) {  */
                   8908: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
1.126     brouard  8909:        
1.227     brouard  8910: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   8911: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   8912: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  8913:          
1.227     brouard  8914: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8915: /*       oldm=oldms;savm=savms; */
                   8916: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
1.218     brouard  8917:          
1.227     brouard  8918: /*       for (h=0; h<=nhstepm; h++){ */
                   8919: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   8920: /*           fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   8921: /*         }  */
                   8922: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   8923: /*           kk1=0.;kk2=0; */
                   8924: /*           for(i=1; i<=nlstate;i++) {               */
                   8925: /*             if (mobilav==1)  */
                   8926: /*               kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod]; */
                   8927: /*             else { */
                   8928: /*               kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod]; */
                   8929: /*             } */
                   8930: /*           } */
                   8931: /*           if (h==(int)(calagedatem+12*cpt)){ */
                   8932: /*             tabpop[(int)(agedeb)][j][cptcod]=kk1; */
                   8933: /*             /\*fprintf(ficrespop," %.3f", kk1); */
                   8934: /*               if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*\/ */
                   8935: /*           } */
                   8936: /*         } */
                   8937: /*         for(i=1; i<=nlstate;i++){ */
                   8938: /*           kk1=0.; */
                   8939: /*           for(j=1; j<=nlstate;j++){ */
                   8940: /*             kk1= kk1+tabpop[(int)(agedeb)][j][cptcod];  */
                   8941: /*           } */
                   8942: /*           tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)]; */
                   8943: /*         } */
1.218     brouard  8944:            
1.227     brouard  8945: /*         if (h==(int)(calagedatem+12*cpt)) */
                   8946: /*           for(j=1; j<=nlstate;j++)  */
                   8947: /*             fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]); */
                   8948: /*       } */
                   8949: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8950: /*     } */
                   8951: /*       } */
1.218     brouard  8952:       
1.227     brouard  8953: /*       /\******\/ */
1.218     brouard  8954:       
1.227     brouard  8955: /*       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) {  */
                   8956: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
                   8957: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   8958: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   8959: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  8960:          
1.227     brouard  8961: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8962: /*       oldm=oldms;savm=savms; */
                   8963: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
                   8964: /*       for (h=0; h<=nhstepm; h++){ */
                   8965: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   8966: /*           fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   8967: /*         }  */
                   8968: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   8969: /*           kk1=0.;kk2=0; */
                   8970: /*           for(i=1; i<=nlstate;i++) {               */
                   8971: /*             kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];     */
                   8972: /*           } */
                   8973: /*           if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);         */
                   8974: /*         } */
                   8975: /*       } */
                   8976: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8977: /*     } */
                   8978: /*       } */
                   8979: /*     }  */
                   8980: /*   } */
1.218     brouard  8981:   
1.227     brouard  8982: /*   /\* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
1.218     brouard  8983:   
1.227     brouard  8984: /*   if (popforecast==1) { */
                   8985: /*     free_ivector(popage,0,AGESUP); */
                   8986: /*     free_vector(popeffectif,0,AGESUP); */
                   8987: /*     free_vector(popcount,0,AGESUP); */
                   8988: /*   } */
                   8989: /*   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8990: /*   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8991: /*   fclose(ficrespop); */
                   8992: /* } /\* End of popforecast *\/ */
1.218     brouard  8993:  
1.126     brouard  8994: int fileappend(FILE *fichier, char *optionfich)
                   8995: {
                   8996:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   8997:     printf("Problem with file: %s\n", optionfich);
                   8998:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   8999:     return (0);
                   9000:   }
                   9001:   fflush(fichier);
                   9002:   return (1);
                   9003: }
                   9004: 
                   9005: 
                   9006: /**************** function prwizard **********************/
                   9007: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   9008: {
                   9009: 
                   9010:   /* Wizard to print covariance matrix template */
                   9011: 
1.164     brouard  9012:   char ca[32], cb[32];
                   9013:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  9014:   int numlinepar;
                   9015: 
                   9016:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9017:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9018:   for(i=1; i <=nlstate; i++){
                   9019:     jj=0;
                   9020:     for(j=1; j <=nlstate+ndeath; j++){
                   9021:       if(j==i) continue;
                   9022:       jj++;
                   9023:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   9024:       printf("%1d%1d",i,j);
                   9025:       fprintf(ficparo,"%1d%1d",i,j);
                   9026:       for(k=1; k<=ncovmodel;k++){
                   9027:        /*        printf(" %lf",param[i][j][k]); */
                   9028:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   9029:        printf(" 0.");
                   9030:        fprintf(ficparo," 0.");
                   9031:       }
                   9032:       printf("\n");
                   9033:       fprintf(ficparo,"\n");
                   9034:     }
                   9035:   }
                   9036:   printf("# Scales (for hessian or gradient estimation)\n");
                   9037:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   9038:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   9039:   for(i=1; i <=nlstate; i++){
                   9040:     jj=0;
                   9041:     for(j=1; j <=nlstate+ndeath; j++){
                   9042:       if(j==i) continue;
                   9043:       jj++;
                   9044:       fprintf(ficparo,"%1d%1d",i,j);
                   9045:       printf("%1d%1d",i,j);
                   9046:       fflush(stdout);
                   9047:       for(k=1; k<=ncovmodel;k++){
                   9048:        /*      printf(" %le",delti3[i][j][k]); */
                   9049:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   9050:        printf(" 0.");
                   9051:        fprintf(ficparo," 0.");
                   9052:       }
                   9053:       numlinepar++;
                   9054:       printf("\n");
                   9055:       fprintf(ficparo,"\n");
                   9056:     }
                   9057:   }
                   9058:   printf("# Covariance matrix\n");
                   9059: /* # 121 Var(a12)\n\ */
                   9060: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   9061: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   9062: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   9063: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   9064: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   9065: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   9066: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   9067:   fflush(stdout);
                   9068:   fprintf(ficparo,"# Covariance matrix\n");
                   9069:   /* # 121 Var(a12)\n\ */
                   9070:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   9071:   /* #   ...\n\ */
                   9072:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   9073:   
                   9074:   for(itimes=1;itimes<=2;itimes++){
                   9075:     jj=0;
                   9076:     for(i=1; i <=nlstate; i++){
                   9077:       for(j=1; j <=nlstate+ndeath; j++){
                   9078:        if(j==i) continue;
                   9079:        for(k=1; k<=ncovmodel;k++){
                   9080:          jj++;
                   9081:          ca[0]= k+'a'-1;ca[1]='\0';
                   9082:          if(itimes==1){
                   9083:            printf("#%1d%1d%d",i,j,k);
                   9084:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   9085:          }else{
                   9086:            printf("%1d%1d%d",i,j,k);
                   9087:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   9088:            /*  printf(" %.5le",matcov[i][j]); */
                   9089:          }
                   9090:          ll=0;
                   9091:          for(li=1;li <=nlstate; li++){
                   9092:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   9093:              if(lj==li) continue;
                   9094:              for(lk=1;lk<=ncovmodel;lk++){
                   9095:                ll++;
                   9096:                if(ll<=jj){
                   9097:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   9098:                  if(ll<jj){
                   9099:                    if(itimes==1){
                   9100:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   9101:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   9102:                    }else{
                   9103:                      printf(" 0.");
                   9104:                      fprintf(ficparo," 0.");
                   9105:                    }
                   9106:                  }else{
                   9107:                    if(itimes==1){
                   9108:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   9109:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   9110:                    }else{
                   9111:                      printf(" 0.");
                   9112:                      fprintf(ficparo," 0.");
                   9113:                    }
                   9114:                  }
                   9115:                }
                   9116:              } /* end lk */
                   9117:            } /* end lj */
                   9118:          } /* end li */
                   9119:          printf("\n");
                   9120:          fprintf(ficparo,"\n");
                   9121:          numlinepar++;
                   9122:        } /* end k*/
                   9123:       } /*end j */
                   9124:     } /* end i */
                   9125:   } /* end itimes */
                   9126: 
                   9127: } /* end of prwizard */
                   9128: /******************* Gompertz Likelihood ******************************/
                   9129: double gompertz(double x[])
                   9130: { 
1.302     brouard  9131:   double A=0.0,B=0.,L=0.0,sump=0.,num=0.;
1.126     brouard  9132:   int i,n=0; /* n is the size of the sample */
                   9133: 
1.220     brouard  9134:   for (i=1;i<=imx ; i++) {
1.126     brouard  9135:     sump=sump+weight[i];
                   9136:     /*    sump=sump+1;*/
                   9137:     num=num+1;
                   9138:   }
1.302     brouard  9139:   L=0.0;
                   9140:   /* agegomp=AGEGOMP; */
1.126     brouard  9141:   /* for (i=0; i<=imx; i++) 
                   9142:      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]);*/
                   9143: 
1.302     brouard  9144:   for (i=1;i<=imx ; i++) {
                   9145:     /* mu(a)=mu(agecomp)*exp(teta*(age-agegomp))
                   9146:        mu(a)=x[1]*exp(x[2]*(age-agegomp)); x[1] and x[2] are per year.
                   9147:      * L= Product mu(agedeces)exp(-\int_ageexam^agedc mu(u) du ) for a death between agedc (in month) 
                   9148:      *   and agedc +1 month, cens[i]=0: log(x[1]/YEARM)
                   9149:      * +
                   9150:      * exp(-\int_ageexam^agecens mu(u) du ) when censored, cens[i]=1
                   9151:      */
                   9152:      if (wav[i] > 1 || agedc[i] < AGESUP) {
                   9153:        if (cens[i] == 1){
                   9154:         A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   9155:        } else if (cens[i] == 0){
1.126     brouard  9156:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
1.302     brouard  9157:          +log(x[1]/YEARM) +x[2]*(agedc[i]-agegomp)+log(YEARM);
                   9158:       } else
                   9159:         printf("Gompertz cens[%d] neither 1 nor 0\n",i);
1.126     brouard  9160:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
1.302     brouard  9161:        L=L+A*weight[i];
1.126     brouard  9162:        /*      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  9163:      }
                   9164:   }
1.126     brouard  9165: 
1.302     brouard  9166:   /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
1.126     brouard  9167:  
                   9168:   return -2*L*num/sump;
                   9169: }
                   9170: 
1.136     brouard  9171: #ifdef GSL
                   9172: /******************* Gompertz_f Likelihood ******************************/
                   9173: double gompertz_f(const gsl_vector *v, void *params)
                   9174: { 
1.302     brouard  9175:   double A=0.,B=0.,LL=0.0,sump=0.,num=0.;
1.136     brouard  9176:   double *x= (double *) v->data;
                   9177:   int i,n=0; /* n is the size of the sample */
                   9178: 
                   9179:   for (i=0;i<=imx-1 ; i++) {
                   9180:     sump=sump+weight[i];
                   9181:     /*    sump=sump+1;*/
                   9182:     num=num+1;
                   9183:   }
                   9184:  
                   9185:  
                   9186:   /* for (i=0; i<=imx; i++) 
                   9187:      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]);*/
                   9188:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   9189:   for (i=1;i<=imx ; i++)
                   9190:     {
                   9191:       if (cens[i] == 1 && wav[i]>1)
                   9192:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   9193:       
                   9194:       if (cens[i] == 0 && wav[i]>1)
                   9195:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   9196:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   9197:       
                   9198:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   9199:       if (wav[i] > 1 ) { /* ??? */
                   9200:        LL=LL+A*weight[i];
                   9201:        /*      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]);*/
                   9202:       }
                   9203:     }
                   9204: 
                   9205:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   9206:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   9207:  
                   9208:   return -2*LL*num/sump;
                   9209: }
                   9210: #endif
                   9211: 
1.126     brouard  9212: /******************* Printing html file ***********/
1.201     brouard  9213: void printinghtmlmort(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  9214:                  int lastpass, int stepm, int weightopt, char model[],\
                   9215:                  int imx,  double p[],double **matcov,double agemortsup){
                   9216:   int i,k;
                   9217: 
                   9218:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   9219:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   9220:   for (i=1;i<=2;i++) 
                   9221:     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  9222:   fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
1.126     brouard  9223:   fprintf(fichtm,"</ul>");
                   9224: 
                   9225: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   9226: 
                   9227:  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>");
                   9228: 
                   9229:  for (k=agegomp;k<(agemortsup-2);k++) 
                   9230:    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]);
                   9231: 
                   9232:  
                   9233:   fflush(fichtm);
                   9234: }
                   9235: 
                   9236: /******************* Gnuplot file **************/
1.201     brouard  9237: void printinggnuplotmort(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
1.126     brouard  9238: 
                   9239:   char dirfileres[132],optfileres[132];
1.164     brouard  9240: 
1.126     brouard  9241:   int ng;
                   9242: 
                   9243: 
                   9244:   /*#ifdef windows */
                   9245:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   9246:     /*#endif */
                   9247: 
                   9248: 
                   9249:   strcpy(dirfileres,optionfilefiname);
                   9250:   strcpy(optfileres,"vpl");
1.199     brouard  9251:   fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
1.126     brouard  9252:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.199     brouard  9253:   fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
1.145     brouard  9254:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  9255:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   9256: 
                   9257: } 
                   9258: 
1.136     brouard  9259: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   9260: {
1.126     brouard  9261: 
1.136     brouard  9262:   /*-------- data file ----------*/
                   9263:   FILE *fic;
                   9264:   char dummy[]="                         ";
1.240     brouard  9265:   int i=0, j=0, n=0, iv=0, v;
1.223     brouard  9266:   int lstra;
1.136     brouard  9267:   int linei, month, year,iout;
1.302     brouard  9268:   int noffset=0; /* This is the offset if BOM data file */
1.136     brouard  9269:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  9270:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  9271:   char *stratrunc;
1.223     brouard  9272: 
1.240     brouard  9273:   DummyV=ivector(1,NCOVMAX); /* 1 to 3 */
                   9274:   FixedV=ivector(1,NCOVMAX); /* 1 to 3 */
1.126     brouard  9275: 
1.240     brouard  9276:   for(v=1; v <=ncovcol;v++){
                   9277:     DummyV[v]=0;
                   9278:     FixedV[v]=0;
                   9279:   }
                   9280:   for(v=ncovcol+1; v <=ncovcol+nqv;v++){
                   9281:     DummyV[v]=1;
                   9282:     FixedV[v]=0;
                   9283:   }
                   9284:   for(v=ncovcol+nqv+1; v <=ncovcol+nqv+ntv;v++){
                   9285:     DummyV[v]=0;
                   9286:     FixedV[v]=1;
                   9287:   }
                   9288:   for(v=ncovcol+nqv+ntv+1; v <=ncovcol+nqv+ntv+nqtv;v++){
                   9289:     DummyV[v]=1;
                   9290:     FixedV[v]=1;
                   9291:   }
                   9292:   for(v=1; v <=ncovcol+nqv+ntv+nqtv;v++){
                   9293:     printf("Covariate type in the data: V%d, DummyV(V%d)=%d, FixedV(V%d)=%d\n",v,v,DummyV[v],v,FixedV[v]);
                   9294:     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]);
                   9295:   }
1.126     brouard  9296: 
1.136     brouard  9297:   if((fic=fopen(datafile,"r"))==NULL)    {
1.218     brouard  9298:     printf("Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(stdout);
                   9299:     fprintf(ficlog,"Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(ficlog);return 1;
1.136     brouard  9300:   }
1.126     brouard  9301: 
1.302     brouard  9302:     /* Is it a BOM UTF-8 Windows file? */
                   9303:   /* First data line */
                   9304:   linei=0;
                   9305:   while(fgets(line, MAXLINE, fic)) {
                   9306:     noffset=0;
                   9307:     if( line[0] == (char)0xEF && line[1] == (char)0xBB) /* EF BB BF */
                   9308:     {
                   9309:       noffset=noffset+3;
                   9310:       printf("# Data file '%s'  is an UTF8 BOM file, please convert to UTF8 or ascii file and rerun.\n",datafile);fflush(stdout);
                   9311:       fprintf(ficlog,"# Data file '%s'  is an UTF8 BOM file, please convert to UTF8 or ascii file and rerun.\n",datafile);
                   9312:       fflush(ficlog); return 1;
                   9313:     }
                   9314:     /*    else if( line[0] == (char)0xFE && line[1] == (char)0xFF)*/
                   9315:     else if( line[0] == (char)0xFF && line[1] == (char)0xFE)
                   9316:     {
                   9317:       noffset=noffset+2;
1.304     brouard  9318:       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);
                   9319:       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  9320:       fflush(ficlog); return 1;
                   9321:     }
                   9322:     else if( line[0] == 0 && line[1] == 0)
                   9323:     {
                   9324:       if( line[2] == (char)0xFE && line[3] == (char)0xFF){
                   9325:        noffset=noffset+4;
1.304     brouard  9326:        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);
                   9327:        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  9328:        fflush(ficlog); return 1;
                   9329:       }
                   9330:     } else{
                   9331:       ;/*printf(" Not a BOM file\n");*/
                   9332:     }
                   9333:         /* If line starts with a # it is a comment */
                   9334:     if (line[noffset] == '#') {
                   9335:       linei=linei+1;
                   9336:       break;
                   9337:     }else{
                   9338:       break;
                   9339:     }
                   9340:   }
                   9341:   fclose(fic);
                   9342:   if((fic=fopen(datafile,"r"))==NULL)    {
                   9343:     printf("Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(stdout);
                   9344:     fprintf(ficlog,"Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(ficlog);return 1;
                   9345:   }
                   9346:   /* Not a Bom file */
                   9347:   
1.136     brouard  9348:   i=1;
                   9349:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   9350:     linei=linei+1;
                   9351:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   9352:       if(line[j] == '\t')
                   9353:        line[j] = ' ';
                   9354:     }
                   9355:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   9356:       ;
                   9357:     };
                   9358:     line[j+1]=0;  /* Trims blanks at end of line */
                   9359:     if(line[0]=='#'){
                   9360:       fprintf(ficlog,"Comment line\n%s\n",line);
                   9361:       printf("Comment line\n%s\n",line);
                   9362:       continue;
                   9363:     }
                   9364:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  9365:     strcpy(line, linetmp);
1.223     brouard  9366:     
                   9367:     /* Loops on waves */
                   9368:     for (j=maxwav;j>=1;j--){
                   9369:       for (iv=nqtv;iv>=1;iv--){  /* Loop  on time varying quantitative variables */
1.238     brouard  9370:        cutv(stra, strb, line, ' '); 
                   9371:        if(strb[0]=='.') { /* Missing value */
                   9372:          lval=-1;
                   9373:          cotqvar[j][iv][i]=-1; /* 0.0/0.0 */
                   9374:          cotvar[j][ntv+iv][i]=-1; /* For performance reasons */
                   9375:          if(isalpha(strb[1])) { /* .m or .d Really Missing value */
                   9376:            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);
                   9377:            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);
                   9378:            return 1;
                   9379:          }
                   9380:        }else{
                   9381:          errno=0;
                   9382:          /* what_kind_of_number(strb); */
                   9383:          dval=strtod(strb,&endptr); 
                   9384:          /* if( strb[0]=='\0' || (*endptr != '\0')){ */
                   9385:          /* if(strb != endptr && *endptr == '\0') */
                   9386:          /*    dval=dlval; */
                   9387:          /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   9388:          if( strb[0]=='\0' || (*endptr != '\0')){
                   9389:            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);
                   9390:            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);
                   9391:            return 1;
                   9392:          }
                   9393:          cotqvar[j][iv][i]=dval; 
                   9394:          cotvar[j][ntv+iv][i]=dval; 
                   9395:        }
                   9396:        strcpy(line,stra);
1.223     brouard  9397:       }/* end loop ntqv */
1.225     brouard  9398:       
1.223     brouard  9399:       for (iv=ntv;iv>=1;iv--){  /* Loop  on time varying dummies */
1.238     brouard  9400:        cutv(stra, strb, line, ' '); 
                   9401:        if(strb[0]=='.') { /* Missing value */
                   9402:          lval=-1;
                   9403:        }else{
                   9404:          errno=0;
                   9405:          lval=strtol(strb,&endptr,10); 
                   9406:          /*    if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   9407:          if( strb[0]=='\0' || (*endptr != '\0')){
                   9408:            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);
                   9409:            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);
                   9410:            return 1;
                   9411:          }
                   9412:        }
                   9413:        if(lval <-1 || lval >1){
                   9414:          printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  9415:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9416:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.238     brouard  9417:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9418:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9419:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  9420:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.238     brouard  9421:  output of IMaCh is often meaningless.\n                               \
1.223     brouard  9422:  Exiting.\n",lval,linei, i,line,j);
1.238     brouard  9423:          fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  9424:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9425:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.238     brouard  9426:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9427:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9428:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  9429:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.238     brouard  9430:  output of IMaCh is often meaningless.\n                               \
1.223     brouard  9431:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.238     brouard  9432:          return 1;
                   9433:        }
                   9434:        cotvar[j][iv][i]=(double)(lval);
                   9435:        strcpy(line,stra);
1.223     brouard  9436:       }/* end loop ntv */
1.225     brouard  9437:       
1.223     brouard  9438:       /* Statuses  at wave */
1.137     brouard  9439:       cutv(stra, strb, line, ' '); 
1.223     brouard  9440:       if(strb[0]=='.') { /* Missing value */
1.238     brouard  9441:        lval=-1;
1.136     brouard  9442:       }else{
1.238     brouard  9443:        errno=0;
                   9444:        lval=strtol(strb,&endptr,10); 
                   9445:        /*      if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   9446:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9447:          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);
                   9448:          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);
                   9449:          return 1;
                   9450:        }
1.136     brouard  9451:       }
1.225     brouard  9452:       
1.136     brouard  9453:       s[j][i]=lval;
1.225     brouard  9454:       
1.223     brouard  9455:       /* Date of Interview */
1.136     brouard  9456:       strcpy(line,stra);
                   9457:       cutv(stra, strb,line,' ');
1.169     brouard  9458:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9459:       }
1.169     brouard  9460:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.225     brouard  9461:        month=99;
                   9462:        year=9999;
1.136     brouard  9463:       }else{
1.225     brouard  9464:        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);
                   9465:        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);
                   9466:        return 1;
1.136     brouard  9467:       }
                   9468:       anint[j][i]= (double) year; 
1.302     brouard  9469:       mint[j][i]= (double)month;
                   9470:       /* if( (int)anint[j][i]+ (int)(mint[j][i])/12. < (int) (moisnais[i]/12.+annais[i])){ */
                   9471:       /*       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]); */
                   9472:       /*       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]); */
                   9473:       /* } */
1.136     brouard  9474:       strcpy(line,stra);
1.223     brouard  9475:     } /* End loop on waves */
1.225     brouard  9476:     
1.223     brouard  9477:     /* Date of death */
1.136     brouard  9478:     cutv(stra, strb,line,' '); 
1.169     brouard  9479:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9480:     }
1.169     brouard  9481:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  9482:       month=99;
                   9483:       year=9999;
                   9484:     }else{
1.141     brouard  9485:       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  9486:       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);
                   9487:       return 1;
1.136     brouard  9488:     }
                   9489:     andc[i]=(double) year; 
                   9490:     moisdc[i]=(double) month; 
                   9491:     strcpy(line,stra);
                   9492:     
1.223     brouard  9493:     /* Date of birth */
1.136     brouard  9494:     cutv(stra, strb,line,' '); 
1.169     brouard  9495:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9496:     }
1.169     brouard  9497:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  9498:       month=99;
                   9499:       year=9999;
                   9500:     }else{
1.141     brouard  9501:       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);
                   9502:       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  9503:       return 1;
1.136     brouard  9504:     }
                   9505:     if (year==9999) {
1.141     brouard  9506:       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);
                   9507:       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  9508:       return 1;
                   9509:       
1.136     brouard  9510:     }
                   9511:     annais[i]=(double)(year);
1.302     brouard  9512:     moisnais[i]=(double)(month);
                   9513:     for (j=1;j<=maxwav;j++){
                   9514:       if( (int)anint[j][i]+ (int)(mint[j][i])/12. < (int) (moisnais[i]/12.+annais[i])){
                   9515:        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]);
                   9516:        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]);
                   9517:       }
                   9518:     }
                   9519: 
1.136     brouard  9520:     strcpy(line,stra);
1.225     brouard  9521:     
1.223     brouard  9522:     /* Sample weight */
1.136     brouard  9523:     cutv(stra, strb,line,' '); 
                   9524:     errno=0;
                   9525:     dval=strtod(strb,&endptr); 
                   9526:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  9527:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   9528:       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  9529:       fflush(ficlog);
                   9530:       return 1;
                   9531:     }
                   9532:     weight[i]=dval; 
                   9533:     strcpy(line,stra);
1.225     brouard  9534:     
1.223     brouard  9535:     for (iv=nqv;iv>=1;iv--){  /* Loop  on fixed quantitative variables */
                   9536:       cutv(stra, strb, line, ' '); 
                   9537:       if(strb[0]=='.') { /* Missing value */
1.225     brouard  9538:        lval=-1;
1.311     brouard  9539:        coqvar[iv][i]=NAN; 
                   9540:        covar[ncovcol+iv][i]=NAN; /* including qvar in standard covar for performance reasons */ 
1.223     brouard  9541:       }else{
1.225     brouard  9542:        errno=0;
                   9543:        /* what_kind_of_number(strb); */
                   9544:        dval=strtod(strb,&endptr);
                   9545:        /* if(strb != endptr && *endptr == '\0') */
                   9546:        /*   dval=dlval; */
                   9547:        /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   9548:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9549:          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);
                   9550:          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);
                   9551:          return 1;
                   9552:        }
                   9553:        coqvar[iv][i]=dval; 
1.226     brouard  9554:        covar[ncovcol+iv][i]=dval; /* including qvar in standard covar for performance reasons */ 
1.223     brouard  9555:       }
                   9556:       strcpy(line,stra);
                   9557:     }/* end loop nqv */
1.136     brouard  9558:     
1.223     brouard  9559:     /* Covariate values */
1.136     brouard  9560:     for (j=ncovcol;j>=1;j--){
                   9561:       cutv(stra, strb,line,' '); 
1.223     brouard  9562:       if(strb[0]=='.') { /* Missing covariate value */
1.225     brouard  9563:        lval=-1;
1.136     brouard  9564:       }else{
1.225     brouard  9565:        errno=0;
                   9566:        lval=strtol(strb,&endptr,10); 
                   9567:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9568:          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);
                   9569:          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);
                   9570:          return 1;
                   9571:        }
1.136     brouard  9572:       }
                   9573:       if(lval <-1 || lval >1){
1.225     brouard  9574:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  9575:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9576:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  9577:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9578:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9579:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  9580:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  9581:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  9582:  Exiting.\n",lval,linei, i,line,j);
1.225     brouard  9583:        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  9584:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9585:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  9586:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9587:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9588:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  9589:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  9590:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  9591:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.225     brouard  9592:        return 1;
1.136     brouard  9593:       }
                   9594:       covar[j][i]=(double)(lval);
                   9595:       strcpy(line,stra);
                   9596:     }  
                   9597:     lstra=strlen(stra);
1.225     brouard  9598:     
1.136     brouard  9599:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   9600:       stratrunc = &(stra[lstra-9]);
                   9601:       num[i]=atol(stratrunc);
                   9602:     }
                   9603:     else
                   9604:       num[i]=atol(stra);
                   9605:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   9606:       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;}*/
                   9607:     
                   9608:     i=i+1;
                   9609:   } /* End loop reading  data */
1.225     brouard  9610:   
1.136     brouard  9611:   *imax=i-1; /* Number of individuals */
                   9612:   fclose(fic);
1.225     brouard  9613:   
1.136     brouard  9614:   return (0);
1.164     brouard  9615:   /* endread: */
1.225     brouard  9616:   printf("Exiting readdata: ");
                   9617:   fclose(fic);
                   9618:   return (1);
1.223     brouard  9619: }
1.126     brouard  9620: 
1.234     brouard  9621: void removefirstspace(char **stri){/*, char stro[]) {*/
1.230     brouard  9622:   char *p1 = *stri, *p2 = *stri;
1.235     brouard  9623:   while (*p2 == ' ')
1.234     brouard  9624:     p2++; 
                   9625:   /* while ((*p1++ = *p2++) !=0) */
                   9626:   /*   ; */
                   9627:   /* do */
                   9628:   /*   while (*p2 == ' ') */
                   9629:   /*     p2++; */
                   9630:   /* while (*p1++ == *p2++); */
                   9631:   *stri=p2; 
1.145     brouard  9632: }
                   9633: 
1.235     brouard  9634: int decoderesult ( char resultline[], int nres)
1.230     brouard  9635: /**< This routine decode one result line and returns the combination # of dummy covariates only **/
                   9636: {
1.235     brouard  9637:   int j=0, k=0, k1=0, k2=0, k3=0, k4=0, match=0, k2q=0, k3q=0, k4q=0;
1.230     brouard  9638:   char resultsav[MAXLINE];
1.234     brouard  9639:   int resultmodel[MAXLINE];
                   9640:   int modelresult[MAXLINE];
1.230     brouard  9641:   char stra[80], strb[80], strc[80], strd[80],stre[80];
                   9642: 
1.234     brouard  9643:   removefirstspace(&resultline);
1.230     brouard  9644: 
                   9645:   if (strstr(resultline,"v") !=0){
                   9646:     printf("Error. 'v' must be in upper case 'V' result: %s ",resultline);
                   9647:     fprintf(ficlog,"Error. 'v' must be in upper case result: %s ",resultline);fflush(ficlog);
                   9648:     return 1;
                   9649:   }
                   9650:   trimbb(resultsav, resultline);
                   9651:   if (strlen(resultsav) >1){
                   9652:     j=nbocc(resultsav,'='); /**< j=Number of covariate values'=' */
                   9653:   }
1.253     brouard  9654:   if(j == 0){ /* Resultline but no = */
                   9655:     TKresult[nres]=0; /* Combination for the nresult and the model */
                   9656:     return (0);
                   9657:   }
1.234     brouard  9658:   if( j != cptcovs ){ /* Be careful if a variable is in a product but not single */
1.310     brouard  9659:     printf("ERROR: the number of variables in the resultline, %d, differs from the number of variables used in the model line, %d.\n",j, cptcovs);
                   9660:     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  9661:   }
                   9662:   for(k=1; k<=j;k++){ /* Loop on any covariate of the result line */
                   9663:     if(nbocc(resultsav,'=') >1){
                   9664:        cutl(stra,strb,resultsav,' '); /* keeps in strb after the first ' ' 
1.310     brouard  9665:                                      resultsav= V4=1 V5=25.1 V3=0 stra= V5=25.1 V3=0 strb= V4=1 */
1.234     brouard  9666:        cutl(strc,strd,strb,'=');  /* strb:V4=1 strc=1 strd=V4 */
                   9667:     }else
                   9668:       cutl(strc,strd,resultsav,'=');
1.230     brouard  9669:     Tvalsel[k]=atof(strc); /* 1 */
1.234     brouard  9670:     
1.230     brouard  9671:     cutl(strc,stre,strd,'V'); /* strd='V4' strc=4 stre='V' */;
                   9672:     Tvarsel[k]=atoi(strc);
                   9673:     /* Typevarsel[k]=1;  /\* 1 for age product *\/ */
                   9674:     /* cptcovsel++;     */
                   9675:     if (nbocc(stra,'=') >0)
                   9676:       strcpy(resultsav,stra); /* and analyzes it */
                   9677:   }
1.235     brouard  9678:   /* Checking for missing or useless values in comparison of current model needs */
1.236     brouard  9679:   for(k1=1; k1<= cptcovt ;k1++){ /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9680:     if(Typevar[k1]==0){ /* Single covariate in model */
1.234     brouard  9681:       match=0;
1.236     brouard  9682:       for(k2=1; k2 <=j;k2++){/* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
1.237     brouard  9683:        if(Tvar[k1]==Tvarsel[k2]) {/* Tvar[1]=5 == Tvarsel[2]=5   */
1.236     brouard  9684:          modelresult[k2]=k1;/* modelresult[2]=1 modelresult[1]=2  modelresult[3]=3  modelresult[6]=4 modelresult[9]=5 */
1.234     brouard  9685:          match=1;
                   9686:          break;
                   9687:        }
                   9688:       }
                   9689:       if(match == 0){
1.310     brouard  9690:        printf("Error in result line: V%d is missing in result: %s according to model=%s\n",k1, resultline, model);
                   9691:        fprintf(ficlog,"Error in result line: V%d is missing in result: %s according to model=%s\n",k1, resultline, model);
                   9692:        return 1;
1.234     brouard  9693:       }
                   9694:     }
                   9695:   }
1.235     brouard  9696:   /* Checking for missing or useless values in comparison of current model needs */
                   9697:   for(k2=1; k2 <=j;k2++){ /* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
1.234     brouard  9698:     match=0;
1.235     brouard  9699:     for(k1=1; k1<= cptcovt ;k1++){ /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9700:       if(Typevar[k1]==0){ /* Single */
1.237     brouard  9701:        if(Tvar[k1]==Tvarsel[k2]) { /* Tvar[2]=4 == Tvarsel[1]=4   */
1.235     brouard  9702:          resultmodel[k1]=k2;  /* resultmodel[2]=1 resultmodel[1]=2  resultmodel[3]=3  resultmodel[6]=4 resultmodel[9]=5 */
1.234     brouard  9703:          ++match;
                   9704:        }
                   9705:       }
                   9706:     }
                   9707:     if(match == 0){
                   9708:       printf("Error in result line: %d value missing; result: %s, model=%s\n",k1, resultline, model);
1.310     brouard  9709:       fprintf(ficlog,"Error in result line: %d value missing; result: %s, model=%s\n",k1, resultline, model);
                   9710:       return 1;
1.234     brouard  9711:     }else if(match > 1){
                   9712:       printf("Error in result line: %d doubled; result: %s, model=%s\n",k2, resultline, model);
1.310     brouard  9713:       fprintf(ficlog,"Error in result line: %d doubled; result: %s, model=%s\n",k2, resultline, model);
                   9714:       return 1;
1.234     brouard  9715:     }
                   9716:   }
1.235     brouard  9717:       
1.234     brouard  9718:   /* We need to deduce which combination number is chosen and save quantitative values */
1.235     brouard  9719:   /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9720:   /* result line V4=1 V5=25.1 V3=0  V2=8 V1=1 */
                   9721:   /* should give a combination of dummy V4=1, V3=0, V1=1 => V4*2**(0) + V3*2**(1) + V1*2**(2) = 5 + (1offset) = 6*/
                   9722:   /* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
                   9723:   /* should give a combination of dummy V4=1, V3=1, V1=0 => V4*2**(0) + V3*2**(1) + V1*2**(2) = 3 + (1offset) = 4*/
                   9724:   /*    1 0 0 0 */
                   9725:   /*    2 1 0 0 */
                   9726:   /*    3 0 1 0 */ 
                   9727:   /*    4 1 1 0 */ /* V4=1, V3=1, V1=0 */
                   9728:   /*    5 0 0 1 */
                   9729:   /*    6 1 0 1 */ /* V4=1, V3=0, V1=1 */
                   9730:   /*    7 0 1 1 */
                   9731:   /*    8 1 1 1 */
1.237     brouard  9732:   /* V(Tvresult)=Tresult V4=1 V3=0 V1=1 Tresult[nres=1][2]=0 */
                   9733:   /* V(Tvqresult)=Tqresult V5=25.1 V2=8 Tqresult[nres=1][1]=25.1 */
                   9734:   /* V5*age V5 known which value for nres?  */
                   9735:   /* Tqinvresult[2]=8 Tqinvresult[1]=25.1  */
1.235     brouard  9736:   for(k1=1, k=0, k4=0, k4q=0; k1 <=cptcovt;k1++){ /* model line */
                   9737:     if( Dummy[k1]==0 && Typevar[k1]==0 ){ /* Single dummy */
1.237     brouard  9738:       k3= resultmodel[k1]; /* resultmodel[2(V4)] = 1=k3 */
1.235     brouard  9739:       k2=(int)Tvarsel[k3]; /*  Tvarsel[resultmodel[2]]= Tvarsel[1] = 4=k2 */
                   9740:       k+=Tvalsel[k3]*pow(2,k4);  /*  Tvalsel[1]=1  */
1.237     brouard  9741:       Tresult[nres][k4+1]=Tvalsel[k3];/* Tresult[nres][1]=1(V4=1)  Tresult[nres][2]=0(V3=0) */
                   9742:       Tvresult[nres][k4+1]=(int)Tvarsel[k3];/* Tvresult[nres][1]=4 Tvresult[nres][3]=1 */
                   9743:       Tinvresult[nres][(int)Tvarsel[k3]]=Tvalsel[k3]; /* Tinvresult[nres][4]=1 */
1.235     brouard  9744:       printf("Decoderesult Dummy k=%d, V(k2=V%d)= Tvalsel[%d]=%d, 2**(%d)\n",k, k2, k3, (int)Tvalsel[k3], k4);
                   9745:       k4++;;
                   9746:     }  else if( Dummy[k1]==1 && Typevar[k1]==0 ){ /* Single quantitative */
                   9747:       k3q= resultmodel[k1]; /* resultmodel[2] = 1=k3 */
                   9748:       k2q=(int)Tvarsel[k3q]; /*  Tvarsel[resultmodel[2]]= Tvarsel[1] = 4=k2 */
1.237     brouard  9749:       Tqresult[nres][k4q+1]=Tvalsel[k3q]; /* Tqresult[nres][1]=25.1 */
                   9750:       Tvqresult[nres][k4q+1]=(int)Tvarsel[k3q]; /* Tvqresult[nres][1]=5 */
                   9751:       Tqinvresult[nres][(int)Tvarsel[k3q]]=Tvalsel[k3q]; /* Tqinvresult[nres][5]=25.1 */
1.235     brouard  9752:       printf("Decoderesult Quantitative nres=%d, V(k2q=V%d)= Tvalsel[%d]=%d, Tvarsel[%d]=%f\n",nres, k2q, k3q, Tvarsel[k3q], k3q, Tvalsel[k3q]);
                   9753:       k4q++;;
                   9754:     }
                   9755:   }
1.234     brouard  9756:   
1.235     brouard  9757:   TKresult[nres]=++k; /* Combination for the nresult and the model */
1.230     brouard  9758:   return (0);
                   9759: }
1.235     brouard  9760: 
1.230     brouard  9761: int decodemodel( char model[], int lastobs)
                   9762:  /**< This routine decodes the model and returns:
1.224     brouard  9763:        * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   9764:        * - nagesqr = 1 if age*age in the model, otherwise 0.
                   9765:        * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   9766:        * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
                   9767:        * - cptcovage number of covariates with age*products =2
                   9768:        * - cptcovs number of simple covariates
                   9769:        * - 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
                   9770:        *     which is a new column after the 9 (ncovcol) variables. 
                   9771:        * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
                   9772:        * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   9773:        *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   9774:        * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   9775:        */
1.136     brouard  9776: {
1.238     brouard  9777:   int i, j, k, ks, v;
1.227     brouard  9778:   int  j1, k1, k2, k3, k4;
1.136     brouard  9779:   char modelsav[80];
1.145     brouard  9780:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  9781:   char *strpt;
1.136     brouard  9782: 
1.145     brouard  9783:   /*removespace(model);*/
1.136     brouard  9784:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  9785:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  9786:     if (strstr(model,"AGE") !=0){
1.192     brouard  9787:       printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
                   9788:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
1.136     brouard  9789:       return 1;
                   9790:     }
1.141     brouard  9791:     if (strstr(model,"v") !=0){
                   9792:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   9793:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   9794:       return 1;
                   9795:     }
1.187     brouard  9796:     strcpy(modelsav,model); 
                   9797:     if ((strpt=strstr(model,"age*age")) !=0){
                   9798:       printf(" strpt=%s, model=%s\n",strpt, model);
                   9799:       if(strpt != model){
1.234     brouard  9800:        printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  9801:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  9802:  corresponding column of parameters.\n",model);
1.234     brouard  9803:        fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  9804:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  9805:  corresponding column of parameters.\n",model); fflush(ficlog);
1.234     brouard  9806:        return 1;
1.225     brouard  9807:       }
1.187     brouard  9808:       nagesqr=1;
                   9809:       if (strstr(model,"+age*age") !=0)
1.234     brouard  9810:        substrchaine(modelsav, model, "+age*age");
1.187     brouard  9811:       else if (strstr(model,"age*age+") !=0)
1.234     brouard  9812:        substrchaine(modelsav, model, "age*age+");
1.187     brouard  9813:       else 
1.234     brouard  9814:        substrchaine(modelsav, model, "age*age");
1.187     brouard  9815:     }else
                   9816:       nagesqr=0;
                   9817:     if (strlen(modelsav) >1){
                   9818:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   9819:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
1.224     brouard  9820:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =5-3=2  */
1.187     brouard  9821:       cptcovt= j+1; /* Number of total covariates in the model, not including
1.225     brouard  9822:                     * cst, age and age*age 
                   9823:                     * V1+V1*age+ V3 + V3*V4+age*age=> 3+1=4*/
                   9824:       /* including age products which are counted in cptcovage.
                   9825:        * but the covariates which are products must be treated 
                   9826:        * separately: ncovn=4- 2=2 (V1+V3). */
1.187     brouard  9827:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   9828:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
1.225     brouard  9829:       
                   9830:       
1.187     brouard  9831:       /*   Design
                   9832:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   9833:        *  <          ncovcol=8                >
                   9834:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   9835:        *   k=  1    2      3       4     5       6      7        8
                   9836:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   9837:        *  covar[k,i], value of kth covariate if not including age for individual i:
1.224     brouard  9838:        *       covar[1][i]= (V1), covar[4][i]=(V4), covar[8][i]=(V8)
                   9839:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[2]=1 Tvar[4]=3 Tvar[8]=8
1.187     brouard  9840:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   9841:        *  Tage[++cptcovage]=k
                   9842:        *       if products, new covar are created after ncovcol with k1
                   9843:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   9844:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   9845:        *  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
                   9846:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   9847:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   9848:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   9849:        *  <          ncovcol=8                >
                   9850:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   9851:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   9852:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
                   9853:        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   9854:        * p Tprod[1]@2={                         6, 5}
                   9855:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   9856:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   9857:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                   9858:        *How to reorganize?
                   9859:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   9860:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   9861:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   9862:        * Struct []
                   9863:        */
1.225     brouard  9864:       
1.187     brouard  9865:       /* This loop fills the array Tvar from the string 'model'.*/
                   9866:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   9867:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   9868:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   9869:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   9870:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   9871:       /*       k=1 Tvar[1]=2 (from V2) */
                   9872:       /*       k=5 Tvar[5] */
                   9873:       /* for (k=1; k<=cptcovn;k++) { */
1.198     brouard  9874:       /*       cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.187     brouard  9875:       /*       } */
1.198     brouard  9876:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
1.187     brouard  9877:       /*
                   9878:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
1.227     brouard  9879:       for(k=cptcovt; k>=1;k--){ /**< Number of covariates not including constant and age, neither age*age*/
                   9880:         Tvar[k]=0; Tprod[k]=0; Tposprod[k]=0;
                   9881:       }
1.187     brouard  9882:       cptcovage=0;
                   9883:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
1.234     brouard  9884:        cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
1.225     brouard  9885:                                         modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
1.234     brouard  9886:        if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
                   9887:        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                   9888:        /*scanf("%d",i);*/
                   9889:        if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
                   9890:          cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
                   9891:          if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                   9892:            /* covar is not filled and then is empty */
                   9893:            cptcovprod--;
                   9894:            cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                   9895:            Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
                   9896:            Typevar[k]=1;  /* 1 for age product */
                   9897:            cptcovage++; /* Sums the number of covariates which include age as a product */
                   9898:            Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
                   9899:            /*printf("stre=%s ", stre);*/
                   9900:          } else if (strcmp(strd,"age")==0) { /* or age*Vn */
                   9901:            cptcovprod--;
                   9902:            cutl(stre,strb,strc,'V');
                   9903:            Tvar[k]=atoi(stre);
                   9904:            Typevar[k]=1;  /* 1 for age product */
                   9905:            cptcovage++;
                   9906:            Tage[cptcovage]=k;
                   9907:          } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                   9908:            /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                   9909:            cptcovn++;
                   9910:            cptcovprodnoage++;k1++;
                   9911:            cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                   9912:            Tvar[k]=ncovcol+nqv+ntv+nqtv+k1; /* For model-covariate k tells which data-covariate to use but
                   9913:                                                because this model-covariate is a construction we invent a new column
                   9914:                                                which is after existing variables ncovcol+nqv+ntv+nqtv + k1
                   9915:                                                If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                   9916:                                                Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
                   9917:            Typevar[k]=2;  /* 2 for double fixed dummy covariates */
                   9918:            cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                   9919:            Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
                   9920:            Tposprod[k]=k1; /* Tpsprod[3]=1, Tposprod[2]=5 */
                   9921:            Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                   9922:            Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                   9923:            k2=k2+2;  /* k2 is initialize to -1, We want to store the n and m in Vn*Vm at the end of Tvar */
                   9924:            /* Tvar[cptcovt+k2]=Tvard[k1][1]; /\* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) *\/ */
                   9925:            /* Tvar[cptcovt+k2+1]=Tvard[k1][2];  /\* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) *\/ */
1.225     brouard  9926:             /*ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2, Tvar[3]=5, Tvar[4]=6, cptcovt=5 */
1.234     brouard  9927:            /*                     1  2   3      4     5 | Tvar[5+1)=1, Tvar[7]=2   */
                   9928:            for (i=1; i<=lastobs;i++){
                   9929:              /* Computes the new covariate which is a product of
                   9930:                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                   9931:              covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   9932:            }
                   9933:          } /* End age is not in the model */
                   9934:        } /* End if model includes a product */
                   9935:        else { /* no more sum */
                   9936:          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                   9937:          /*  scanf("%d",i);*/
                   9938:          cutl(strd,strc,strb,'V');
                   9939:          ks++; /**< Number of simple covariates dummy or quantitative, fixe or varying */
                   9940:          cptcovn++; /** V4+V3+V5: V4 and V3 timevarying dummy covariates, V5 timevarying quantitative */
                   9941:          Tvar[k]=atoi(strd);
                   9942:          Typevar[k]=0;  /* 0 for simple covariates */
                   9943:        }
                   9944:        strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
1.223     brouard  9945:                                /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
1.225     brouard  9946:                                  scanf("%d",i);*/
1.187     brouard  9947:       } /* end of loop + on total covariates */
                   9948:     } /* end if strlen(modelsave == 0) age*age might exist */
                   9949:   } /* end if strlen(model == 0) */
1.136     brouard  9950:   
                   9951:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   9952:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
1.225     brouard  9953:   
1.136     brouard  9954:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
1.225     brouard  9955:      printf("cptcovprod=%d ", cptcovprod);
                   9956:      fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
                   9957:      scanf("%d ",i);*/
                   9958: 
                   9959: 
1.230     brouard  9960: /* Until here, decodemodel knows only the grammar (simple, product, age*) of the model but not what kind
                   9961:    of variable (dummy vs quantitative, fixed vs time varying) is behind. But we know the # of each. */
1.226     brouard  9962: /* ncovcol= 1, nqv=1 | ntv=2, nqtv= 1  = 5 possible variables data: 2 fixed 3, varying
                   9963:    model=        V5 + V4 +V3 + V4*V3 + V5*age + V2 + V1*V2 + V1*age + V5*age, V1 is not used saving its place
                   9964:    k =           1    2   3     4       5       6      7      8        9
                   9965:    Tvar[k]=      5    4   3 1+1+2+1+1=6 5       2      7      1        5
                   9966:    Typevar[k]=   0    0   0     2       1       0      2      1        1
1.227     brouard  9967:    Fixed[k]      1    1   1     1       3       0    0 or 2   2        3
                   9968:    Dummy[k]      1    0   0     0       3       1      1      2        3
                   9969:          Tmodelind[combination of covar]=k;
1.225     brouard  9970: */  
                   9971: /* Dispatching between quantitative and time varying covariates */
1.226     brouard  9972:   /* If Tvar[k] >ncovcol it is a product */
1.225     brouard  9973:   /* 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  9974:        /* Computing effective variables, ie used by the model, that is from the cptcovt variables */
1.227     brouard  9975:   printf("Model=%s\n\
                   9976: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   9977: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   9978: 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);
                   9979:   fprintf(ficlog,"Model=%s\n\
                   9980: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   9981: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   9982: 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  9983:   for(k=-1;k<=cptcovt; k++){ Fixed[k]=0; Dummy[k]=0;}
1.234     brouard  9984:   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 */
                   9985:     if (Tvar[k] <=ncovcol && Typevar[k]==0 ){ /* Simple fixed dummy (<=ncovcol) covariates */
1.227     brouard  9986:       Fixed[k]= 0;
                   9987:       Dummy[k]= 0;
1.225     brouard  9988:       ncoveff++;
1.232     brouard  9989:       ncovf++;
1.234     brouard  9990:       nsd++;
                   9991:       modell[k].maintype= FTYPE;
                   9992:       TvarsD[nsd]=Tvar[k];
                   9993:       TvarsDind[nsd]=k;
                   9994:       TvarF[ncovf]=Tvar[k];
                   9995:       TvarFind[ncovf]=k;
                   9996:       TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9997:       TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9998:     }else if( Tvar[k] <=ncovcol &&  Typevar[k]==2){ /* Product of fixed dummy (<=ncovcol) covariates */
                   9999:       Fixed[k]= 0;
                   10000:       Dummy[k]= 0;
                   10001:       ncoveff++;
                   10002:       ncovf++;
                   10003:       modell[k].maintype= FTYPE;
                   10004:       TvarF[ncovf]=Tvar[k];
                   10005:       TvarFind[ncovf]=k;
1.230     brouard  10006:       TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
1.231     brouard  10007:       TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
1.240     brouard  10008:     }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  10009:       Fixed[k]= 0;
                   10010:       Dummy[k]= 1;
1.230     brouard  10011:       nqfveff++;
1.234     brouard  10012:       modell[k].maintype= FTYPE;
                   10013:       modell[k].subtype= FQ;
                   10014:       nsq++;
                   10015:       TvarsQ[nsq]=Tvar[k];
                   10016:       TvarsQind[nsq]=k;
1.232     brouard  10017:       ncovf++;
1.234     brouard  10018:       TvarF[ncovf]=Tvar[k];
                   10019:       TvarFind[ncovf]=k;
1.231     brouard  10020:       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  10021:       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  10022:     }else if( Tvar[k] <=ncovcol+nqv+ntv && Typevar[k]==0){/* Only simple time varying dummy variables */
1.227     brouard  10023:       Fixed[k]= 1;
                   10024:       Dummy[k]= 0;
1.225     brouard  10025:       ntveff++; /* Only simple time varying dummy variable */
1.234     brouard  10026:       modell[k].maintype= VTYPE;
                   10027:       modell[k].subtype= VD;
                   10028:       nsd++;
                   10029:       TvarsD[nsd]=Tvar[k];
                   10030:       TvarsDind[nsd]=k;
                   10031:       ncovv++; /* Only simple time varying variables */
                   10032:       TvarV[ncovv]=Tvar[k];
1.242     brouard  10033:       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  10034:       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 */
                   10035:       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  10036:       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);
                   10037:       printf("Quasi TmodelInvind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv);
1.231     brouard  10038:     }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv  && Typevar[k]==0){ /* Only simple time varying quantitative variable V5*/
1.234     brouard  10039:       Fixed[k]= 1;
                   10040:       Dummy[k]= 1;
                   10041:       nqtveff++;
                   10042:       modell[k].maintype= VTYPE;
                   10043:       modell[k].subtype= VQ;
                   10044:       ncovv++; /* Only simple time varying variables */
                   10045:       nsq++;
                   10046:       TvarsQ[nsq]=Tvar[k];
                   10047:       TvarsQind[nsq]=k;
                   10048:       TvarV[ncovv]=Tvar[k];
1.242     brouard  10049:       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  10050:       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 */
                   10051:       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  10052:       TmodelInvQind[nqtveff]=Tvar[k]- ncovcol-nqv-ntv;/* Only simple time varying quantitative variable */
                   10053:       /* Tmodeliqind[k]=nqtveff;/\* Only simple time varying quantitative variable *\/ */
                   10054:       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  10055:       printf("Quasi TmodelInvQind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv-ntv);
1.227     brouard  10056:     }else if (Typevar[k] == 1) {  /* product with age */
1.234     brouard  10057:       ncova++;
                   10058:       TvarA[ncova]=Tvar[k];
                   10059:       TvarAind[ncova]=k;
1.231     brouard  10060:       if (Tvar[k] <=ncovcol ){ /* Product age with fixed dummy covariatee */
1.240     brouard  10061:        Fixed[k]= 2;
                   10062:        Dummy[k]= 2;
                   10063:        modell[k].maintype= ATYPE;
                   10064:        modell[k].subtype= APFD;
                   10065:        /* ncoveff++; */
1.227     brouard  10066:       }else if( Tvar[k] <=ncovcol+nqv) { /* Remind that product Vn*Vm are added in k*/
1.240     brouard  10067:        Fixed[k]= 2;
                   10068:        Dummy[k]= 3;
                   10069:        modell[k].maintype= ATYPE;
                   10070:        modell[k].subtype= APFQ;                /*      Product age * fixed quantitative */
                   10071:        /* nqfveff++;  /\* Only simple fixed quantitative variable *\/ */
1.227     brouard  10072:       }else if( Tvar[k] <=ncovcol+nqv+ntv ){
1.240     brouard  10073:        Fixed[k]= 3;
                   10074:        Dummy[k]= 2;
                   10075:        modell[k].maintype= ATYPE;
                   10076:        modell[k].subtype= APVD;                /*      Product age * varying dummy */
                   10077:        /* ntveff++; /\* Only simple time varying dummy variable *\/ */
1.227     brouard  10078:       }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv){
1.240     brouard  10079:        Fixed[k]= 3;
                   10080:        Dummy[k]= 3;
                   10081:        modell[k].maintype= ATYPE;
                   10082:        modell[k].subtype= APVQ;                /*      Product age * varying quantitative */
                   10083:        /* nqtveff++;/\* Only simple time varying quantitative variable *\/ */
1.227     brouard  10084:       }
                   10085:     }else if (Typevar[k] == 2) {  /* product without age */
                   10086:       k1=Tposprod[k];
                   10087:       if(Tvard[k1][1] <=ncovcol){
1.240     brouard  10088:        if(Tvard[k1][2] <=ncovcol){
                   10089:          Fixed[k]= 1;
                   10090:          Dummy[k]= 0;
                   10091:          modell[k].maintype= FTYPE;
                   10092:          modell[k].subtype= FPDD;              /*      Product fixed dummy * fixed dummy */
                   10093:          ncovf++; /* Fixed variables without age */
                   10094:          TvarF[ncovf]=Tvar[k];
                   10095:          TvarFind[ncovf]=k;
                   10096:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   10097:          Fixed[k]= 0;  /* or 2 ?*/
                   10098:          Dummy[k]= 1;
                   10099:          modell[k].maintype= FTYPE;
                   10100:          modell[k].subtype= FPDQ;              /*      Product fixed dummy * fixed quantitative */
                   10101:          ncovf++; /* Varying variables without age */
                   10102:          TvarF[ncovf]=Tvar[k];
                   10103:          TvarFind[ncovf]=k;
                   10104:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   10105:          Fixed[k]= 1;
                   10106:          Dummy[k]= 0;
                   10107:          modell[k].maintype= VTYPE;
                   10108:          modell[k].subtype= VPDD;              /*      Product fixed dummy * varying dummy */
                   10109:          ncovv++; /* Varying variables without age */
                   10110:          TvarV[ncovv]=Tvar[k];
                   10111:          TvarVind[ncovv]=k;
                   10112:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   10113:          Fixed[k]= 1;
                   10114:          Dummy[k]= 1;
                   10115:          modell[k].maintype= VTYPE;
                   10116:          modell[k].subtype= VPDQ;              /*      Product fixed dummy * varying quantitative */
                   10117:          ncovv++; /* Varying variables without age */
                   10118:          TvarV[ncovv]=Tvar[k];
                   10119:          TvarVind[ncovv]=k;
                   10120:        }
1.227     brouard  10121:       }else if(Tvard[k1][1] <=ncovcol+nqv){
1.240     brouard  10122:        if(Tvard[k1][2] <=ncovcol){
                   10123:          Fixed[k]= 0;  /* or 2 ?*/
                   10124:          Dummy[k]= 1;
                   10125:          modell[k].maintype= FTYPE;
                   10126:          modell[k].subtype= FPDQ;              /*      Product fixed quantitative * fixed dummy */
                   10127:          ncovf++; /* Fixed variables without age */
                   10128:          TvarF[ncovf]=Tvar[k];
                   10129:          TvarFind[ncovf]=k;
                   10130:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   10131:          Fixed[k]= 1;
                   10132:          Dummy[k]= 1;
                   10133:          modell[k].maintype= VTYPE;
                   10134:          modell[k].subtype= VPDQ;              /*      Product fixed quantitative * varying dummy */
                   10135:          ncovv++; /* Varying variables without age */
                   10136:          TvarV[ncovv]=Tvar[k];
                   10137:          TvarVind[ncovv]=k;
                   10138:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   10139:          Fixed[k]= 1;
                   10140:          Dummy[k]= 1;
                   10141:          modell[k].maintype= VTYPE;
                   10142:          modell[k].subtype= VPQQ;              /*      Product fixed quantitative * varying quantitative */
                   10143:          ncovv++; /* Varying variables without age */
                   10144:          TvarV[ncovv]=Tvar[k];
                   10145:          TvarVind[ncovv]=k;
                   10146:          ncovv++; /* Varying variables without age */
                   10147:          TvarV[ncovv]=Tvar[k];
                   10148:          TvarVind[ncovv]=k;
                   10149:        }
1.227     brouard  10150:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv){
1.240     brouard  10151:        if(Tvard[k1][2] <=ncovcol){
                   10152:          Fixed[k]= 1;
                   10153:          Dummy[k]= 1;
                   10154:          modell[k].maintype= VTYPE;
                   10155:          modell[k].subtype= VPDD;              /*      Product time varying dummy * fixed dummy */
                   10156:          ncovv++; /* Varying variables without age */
                   10157:          TvarV[ncovv]=Tvar[k];
                   10158:          TvarVind[ncovv]=k;
                   10159:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   10160:          Fixed[k]= 1;
                   10161:          Dummy[k]= 1;
                   10162:          modell[k].maintype= VTYPE;
                   10163:          modell[k].subtype= VPDQ;              /*      Product time varying dummy * fixed quantitative */
                   10164:          ncovv++; /* Varying variables without age */
                   10165:          TvarV[ncovv]=Tvar[k];
                   10166:          TvarVind[ncovv]=k;
                   10167:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   10168:          Fixed[k]= 1;
                   10169:          Dummy[k]= 0;
                   10170:          modell[k].maintype= VTYPE;
                   10171:          modell[k].subtype= VPDD;              /*      Product time varying dummy * time varying dummy */
                   10172:          ncovv++; /* Varying variables without age */
                   10173:          TvarV[ncovv]=Tvar[k];
                   10174:          TvarVind[ncovv]=k;
                   10175:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   10176:          Fixed[k]= 1;
                   10177:          Dummy[k]= 1;
                   10178:          modell[k].maintype= VTYPE;
                   10179:          modell[k].subtype= VPDQ;              /*      Product time varying dummy * time varying quantitative */
                   10180:          ncovv++; /* Varying variables without age */
                   10181:          TvarV[ncovv]=Tvar[k];
                   10182:          TvarVind[ncovv]=k;
                   10183:        }
1.227     brouard  10184:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv+nqtv){
1.240     brouard  10185:        if(Tvard[k1][2] <=ncovcol){
                   10186:          Fixed[k]= 1;
                   10187:          Dummy[k]= 1;
                   10188:          modell[k].maintype= VTYPE;
                   10189:          modell[k].subtype= VPDQ;              /*      Product time varying quantitative * fixed dummy */
                   10190:          ncovv++; /* Varying variables without age */
                   10191:          TvarV[ncovv]=Tvar[k];
                   10192:          TvarVind[ncovv]=k;
                   10193:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   10194:          Fixed[k]= 1;
                   10195:          Dummy[k]= 1;
                   10196:          modell[k].maintype= VTYPE;
                   10197:          modell[k].subtype= VPQQ;              /*      Product time varying quantitative * fixed quantitative */
                   10198:          ncovv++; /* Varying variables without age */
                   10199:          TvarV[ncovv]=Tvar[k];
                   10200:          TvarVind[ncovv]=k;
                   10201:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   10202:          Fixed[k]= 1;
                   10203:          Dummy[k]= 1;
                   10204:          modell[k].maintype= VTYPE;
                   10205:          modell[k].subtype= VPDQ;              /*      Product time varying quantitative * time varying dummy */
                   10206:          ncovv++; /* Varying variables without age */
                   10207:          TvarV[ncovv]=Tvar[k];
                   10208:          TvarVind[ncovv]=k;
                   10209:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   10210:          Fixed[k]= 1;
                   10211:          Dummy[k]= 1;
                   10212:          modell[k].maintype= VTYPE;
                   10213:          modell[k].subtype= VPQQ;              /*      Product time varying quantitative * time varying quantitative */
                   10214:          ncovv++; /* Varying variables without age */
                   10215:          TvarV[ncovv]=Tvar[k];
                   10216:          TvarVind[ncovv]=k;
                   10217:        }
1.227     brouard  10218:       }else{
1.240     brouard  10219:        printf("Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
                   10220:        fprintf(ficlog,"Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
                   10221:       } /*end k1*/
1.225     brouard  10222:     }else{
1.226     brouard  10223:       printf("Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]);
                   10224:       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  10225:     }
1.227     brouard  10226:     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  10227:     printf("           modell[%d].maintype=%d, modell[%d].subtype=%d\n",k,modell[k].maintype,k,modell[k].subtype);
1.227     brouard  10228:     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]);
                   10229:   }
                   10230:   /* Searching for doublons in the model */
                   10231:   for(k1=1; k1<= cptcovt;k1++){
                   10232:     for(k2=1; k2 <k1;k2++){
1.285     brouard  10233:       /* if((Typevar[k1]==Typevar[k2]) && (Fixed[Tvar[k1]]==Fixed[Tvar[k2]]) && (Dummy[Tvar[k1]]==Dummy[Tvar[k2]] )){ */
                   10234:       if((Typevar[k1]==Typevar[k2]) && (Fixed[k1]==Fixed[k2]) && (Dummy[k1]==Dummy[k2] )){
1.234     brouard  10235:        if((Typevar[k1] == 0 || Typevar[k1] == 1)){ /* Simple or age product */
                   10236:          if(Tvar[k1]==Tvar[k2]){
1.285     brouard  10237:            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]);
                   10238:            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  10239:            return(1);
                   10240:          }
                   10241:        }else if (Typevar[k1] ==2){
                   10242:          k3=Tposprod[k1];
                   10243:          k4=Tposprod[k2];
                   10244:          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])) ){
                   10245:            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]]);
                   10246:            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);
                   10247:            return(1);
                   10248:          }
                   10249:        }
1.227     brouard  10250:       }
                   10251:     }
1.225     brouard  10252:   }
                   10253:   printf("ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
                   10254:   fprintf(ficlog,"ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
1.234     brouard  10255:   printf("ncovf=%d, ncovv=%d, ncova=%d, nsd=%d, nsq=%d\n",ncovf,ncovv,ncova,nsd,nsq);
                   10256:   fprintf(ficlog,"ncovf=%d, ncovv=%d, ncova=%d, nsd=%d, nsq=%d\n",ncovf,ncovv,ncova,nsd, nsq);
1.137     brouard  10257:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  10258:   /*endread:*/
1.225     brouard  10259:   printf("Exiting decodemodel: ");
                   10260:   return (1);
1.136     brouard  10261: }
                   10262: 
1.169     brouard  10263: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.248     brouard  10264: {/* Check ages at death */
1.136     brouard  10265:   int i, m;
1.218     brouard  10266:   int firstone=0;
                   10267:   
1.136     brouard  10268:   for (i=1; i<=imx; i++) {
                   10269:     for(m=2; (m<= maxwav); m++) {
                   10270:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   10271:        anint[m][i]=9999;
1.216     brouard  10272:        if (s[m][i] != -2) /* Keeping initial status of unknown vital status */
                   10273:          s[m][i]=-1;
1.136     brouard  10274:       }
                   10275:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.260     brouard  10276:        *nberr = *nberr + 1;
1.218     brouard  10277:        if(firstone == 0){
                   10278:          firstone=1;
1.260     brouard  10279:        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  10280:        }
1.262     brouard  10281:        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  10282:        s[m][i]=-1;  /* Droping the death status */
1.136     brouard  10283:       }
                   10284:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  10285:        (*nberr)++;
1.259     brouard  10286:        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  10287:        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  10288:        s[m][i]=-2; /* We prefer to skip it (and to skip it in version 0.8a1 too */
1.136     brouard  10289:       }
                   10290:     }
                   10291:   }
                   10292: 
                   10293:   for (i=1; i<=imx; i++)  {
                   10294:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   10295:     for(m=firstpass; (m<= lastpass); m++){
1.214     brouard  10296:       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  10297:        if (s[m][i] >= nlstate+1) {
1.169     brouard  10298:          if(agedc[i]>0){
                   10299:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  10300:              agev[m][i]=agedc[i];
1.214     brouard  10301:              /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  10302:            }else {
1.136     brouard  10303:              if ((int)andc[i]!=9999){
                   10304:                nbwarn++;
                   10305:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   10306:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   10307:                agev[m][i]=-1;
                   10308:              }
                   10309:            }
1.169     brouard  10310:          } /* agedc > 0 */
1.214     brouard  10311:        } /* end if */
1.136     brouard  10312:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   10313:                                 years but with the precision of a month */
                   10314:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   10315:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   10316:            agev[m][i]=1;
                   10317:          else if(agev[m][i] < *agemin){ 
                   10318:            *agemin=agev[m][i];
                   10319:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   10320:          }
                   10321:          else if(agev[m][i] >*agemax){
                   10322:            *agemax=agev[m][i];
1.156     brouard  10323:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  10324:          }
                   10325:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   10326:          /*     agev[m][i] = age[i]+2*m;*/
1.214     brouard  10327:        } /* en if 9*/
1.136     brouard  10328:        else { /* =9 */
1.214     brouard  10329:          /* printf("Debug num[%d]=%ld s[%d][%d]=%d\n",i,num[i], m,i, s[m][i]); */
1.136     brouard  10330:          agev[m][i]=1;
                   10331:          s[m][i]=-1;
                   10332:        }
                   10333:       }
1.214     brouard  10334:       else if(s[m][i]==0) /*= 0 Unknown */
1.136     brouard  10335:        agev[m][i]=1;
1.214     brouard  10336:       else{
                   10337:        printf("Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   10338:        fprintf(ficlog, "Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   10339:        agev[m][i]=0;
                   10340:       }
                   10341:     } /* End for lastpass */
                   10342:   }
1.136     brouard  10343:     
                   10344:   for (i=1; i<=imx; i++)  {
                   10345:     for(m=firstpass; (m<=lastpass); m++){
                   10346:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  10347:        (*nberr)++;
1.136     brouard  10348:        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);     
                   10349:        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);     
                   10350:        return 1;
                   10351:       }
                   10352:     }
                   10353:   }
                   10354: 
                   10355:   /*for (i=1; i<=imx; i++){
                   10356:   for (m=firstpass; (m<lastpass); m++){
                   10357:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   10358: }
                   10359: 
                   10360: }*/
                   10361: 
                   10362: 
1.139     brouard  10363:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   10364:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  10365: 
                   10366:   return (0);
1.164     brouard  10367:  /* endread:*/
1.136     brouard  10368:     printf("Exiting calandcheckages: ");
                   10369:     return (1);
                   10370: }
                   10371: 
1.172     brouard  10372: #if defined(_MSC_VER)
                   10373: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   10374: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   10375: //#include "stdafx.h"
                   10376: //#include <stdio.h>
                   10377: //#include <tchar.h>
                   10378: //#include <windows.h>
                   10379: //#include <iostream>
                   10380: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   10381: 
                   10382: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   10383: 
                   10384: BOOL IsWow64()
                   10385: {
                   10386:        BOOL bIsWow64 = FALSE;
                   10387: 
                   10388:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   10389:        //  (HANDLE, PBOOL);
                   10390: 
                   10391:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   10392: 
                   10393:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   10394:        const char funcName[] = "IsWow64Process";
                   10395:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   10396:                GetProcAddress(module, funcName);
                   10397: 
                   10398:        if (NULL != fnIsWow64Process)
                   10399:        {
                   10400:                if (!fnIsWow64Process(GetCurrentProcess(),
                   10401:                        &bIsWow64))
                   10402:                        //throw std::exception("Unknown error");
                   10403:                        printf("Unknown error\n");
                   10404:        }
                   10405:        return bIsWow64 != FALSE;
                   10406: }
                   10407: #endif
1.177     brouard  10408: 
1.191     brouard  10409: void syscompilerinfo(int logged)
1.292     brouard  10410: {
                   10411: #include <stdint.h>
                   10412: 
                   10413:   /* #include "syscompilerinfo.h"*/
1.185     brouard  10414:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   10415:    /* /GS /W3 /Gy
                   10416:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   10417:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   10418:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  10419:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   10420:    */ 
                   10421:    /* 64 bits */
1.185     brouard  10422:    /*
                   10423:      /GS /W3 /Gy
                   10424:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   10425:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   10426:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   10427:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   10428:    /* Optimization are useless and O3 is slower than O2 */
                   10429:    /*
                   10430:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   10431:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   10432:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   10433:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   10434:    */
1.186     brouard  10435:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  10436:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   10437:       /PDB:"visual studio
                   10438:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   10439:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   10440:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   10441:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   10442:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   10443:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   10444:       uiAccess='false'"
                   10445:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   10446:       /NOLOGO /TLBID:1
                   10447:    */
1.292     brouard  10448: 
                   10449: 
1.177     brouard  10450: #if defined __INTEL_COMPILER
1.178     brouard  10451: #if defined(__GNUC__)
                   10452:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   10453: #endif
1.177     brouard  10454: #elif defined(__GNUC__) 
1.179     brouard  10455: #ifndef  __APPLE__
1.174     brouard  10456: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  10457: #endif
1.177     brouard  10458:    struct utsname sysInfo;
1.178     brouard  10459:    int cross = CROSS;
                   10460:    if (cross){
                   10461:           printf("Cross-");
1.191     brouard  10462:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  10463:    }
1.174     brouard  10464: #endif
                   10465: 
1.191     brouard  10466:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  10467: #if defined(__clang__)
1.191     brouard  10468:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  10469: #endif
                   10470: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191     brouard  10471:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  10472: #endif
                   10473: #if defined(__GNUC__) || defined(__GNUG__)
1.191     brouard  10474:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  10475: #endif
                   10476: #if defined(__HP_cc) || defined(__HP_aCC)
1.191     brouard  10477:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  10478: #endif
                   10479: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191     brouard  10480:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  10481: #endif
                   10482: #if defined(_MSC_VER)
1.191     brouard  10483:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  10484: #endif
                   10485: #if defined(__PGI)
1.191     brouard  10486:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  10487: #endif
                   10488: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191     brouard  10489:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  10490: #endif
1.191     brouard  10491:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  10492:    
1.167     brouard  10493: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   10494: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   10495:     // Windows (x64 and x86)
1.191     brouard  10496:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  10497: #elif __unix__ // all unices, not all compilers
                   10498:     // Unix
1.191     brouard  10499:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  10500: #elif __linux__
                   10501:     // linux
1.191     brouard  10502:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  10503: #elif __APPLE__
1.174     brouard  10504:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191     brouard  10505:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  10506: #endif
                   10507: 
                   10508: /*  __MINGW32__          */
                   10509: /*  __CYGWIN__  */
                   10510: /* __MINGW64__  */
                   10511: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   10512: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   10513: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   10514: /* _WIN64  // Defined for applications for Win64. */
                   10515: /* _M_X64 // Defined for compilations that target x64 processors. */
                   10516: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  10517: 
1.167     brouard  10518: #if UINTPTR_MAX == 0xffffffff
1.191     brouard  10519:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  10520: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191     brouard  10521:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  10522: #else
1.191     brouard  10523:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  10524: #endif
                   10525: 
1.169     brouard  10526: #if defined(__GNUC__)
                   10527: # if defined(__GNUC_PATCHLEVEL__)
                   10528: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   10529:                             + __GNUC_MINOR__ * 100 \
                   10530:                             + __GNUC_PATCHLEVEL__)
                   10531: # else
                   10532: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   10533:                             + __GNUC_MINOR__ * 100)
                   10534: # endif
1.174     brouard  10535:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191     brouard  10536:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  10537: 
                   10538:    if (uname(&sysInfo) != -1) {
                   10539:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191     brouard  10540:         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  10541:    }
                   10542:    else
                   10543:       perror("uname() error");
1.179     brouard  10544:    //#ifndef __INTEL_COMPILER 
                   10545: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  10546:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191     brouard  10547:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  10548: #endif
1.169     brouard  10549: #endif
1.172     brouard  10550: 
1.286     brouard  10551:    //   void main ()
1.172     brouard  10552:    //   {
1.169     brouard  10553: #if defined(_MSC_VER)
1.174     brouard  10554:    if (IsWow64()){
1.191     brouard  10555:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
                   10556:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  10557:    }
                   10558:    else{
1.191     brouard  10559:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
                   10560:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  10561:    }
1.172     brouard  10562:    //     printf("\nPress Enter to continue...");
                   10563:    //     getchar();
                   10564:    //   }
                   10565: 
1.169     brouard  10566: #endif
                   10567:    
1.167     brouard  10568: 
1.219     brouard  10569: }
1.136     brouard  10570: 
1.219     brouard  10571: int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp){
1.288     brouard  10572:   /*--------------- Prevalence limit  (forward period or forward stable prevalence) --------------*/
1.235     brouard  10573:   int i, j, k, i1, k4=0, nres=0 ;
1.202     brouard  10574:   /* double ftolpl = 1.e-10; */
1.180     brouard  10575:   double age, agebase, agelim;
1.203     brouard  10576:   double tot;
1.180     brouard  10577: 
1.202     brouard  10578:   strcpy(filerespl,"PL_");
                   10579:   strcat(filerespl,fileresu);
                   10580:   if((ficrespl=fopen(filerespl,"w"))==NULL) {
1.288     brouard  10581:     printf("Problem with forward period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   10582:     fprintf(ficlog,"Problem with forward period (stable) prevalence resultfile: %s\n", filerespl);return 1;
1.202     brouard  10583:   }
1.288     brouard  10584:   printf("\nComputing forward period (stable) prevalence: result on file '%s' \n", filerespl);
                   10585:   fprintf(ficlog,"\nComputing forward period (stable) prevalence: result on file '%s' \n", filerespl);
1.202     brouard  10586:   pstamp(ficrespl);
1.288     brouard  10587:   fprintf(ficrespl,"# Forward period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.202     brouard  10588:   fprintf(ficrespl,"#Age ");
                   10589:   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   10590:   fprintf(ficrespl,"\n");
1.180     brouard  10591:   
1.219     brouard  10592:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
1.180     brouard  10593: 
1.219     brouard  10594:   agebase=ageminpar;
                   10595:   agelim=agemaxpar;
1.180     brouard  10596: 
1.227     brouard  10597:   /* i1=pow(2,ncoveff); */
1.234     brouard  10598:   i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
1.219     brouard  10599:   if (cptcovn < 1){i1=1;}
1.180     brouard  10600: 
1.238     brouard  10601:   for(k=1; k<=i1;k++){ /* For each combination k of dummy covariates in the model */
                   10602:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  10603:       if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10604:        continue;
1.235     brouard  10605: 
1.238     brouard  10606:       /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10607:       /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
                   10608:       //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
                   10609:       /* k=k+1; */
                   10610:       /* to clean */
                   10611:       //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   10612:       fprintf(ficrespl,"#******");
                   10613:       printf("#******");
                   10614:       fprintf(ficlog,"#******");
                   10615:       for(j=1;j<=cptcoveff ;j++) {/* all covariates */
                   10616:        fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); /* Here problem for varying dummy*/
                   10617:        printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10618:        fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10619:       }
                   10620:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   10621:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10622:        fprintf(ficrespl," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10623:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10624:       }
                   10625:       fprintf(ficrespl,"******\n");
                   10626:       printf("******\n");
                   10627:       fprintf(ficlog,"******\n");
                   10628:       if(invalidvarcomb[k]){
                   10629:        printf("\nCombination (%d) ignored because no case \n",k); 
                   10630:        fprintf(ficrespl,"#Combination (%d) ignored because no case \n",k); 
                   10631:        fprintf(ficlog,"\nCombination (%d) ignored because no case \n",k); 
                   10632:        continue;
                   10633:       }
1.219     brouard  10634: 
1.238     brouard  10635:       fprintf(ficrespl,"#Age ");
                   10636:       for(j=1;j<=cptcoveff;j++) {
                   10637:        fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10638:       }
                   10639:       for(i=1; i<=nlstate;i++) fprintf(ficrespl,"  %d-%d   ",i,i);
                   10640:       fprintf(ficrespl,"Total Years_to_converge\n");
1.227     brouard  10641:     
1.238     brouard  10642:       for (age=agebase; age<=agelim; age++){
                   10643:        /* for (age=agebase; age<=agebase; age++){ */
                   10644:        prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyearp, k, nres);
                   10645:        fprintf(ficrespl,"%.0f ",age );
                   10646:        for(j=1;j<=cptcoveff;j++)
                   10647:          fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10648:        tot=0.;
                   10649:        for(i=1; i<=nlstate;i++){
                   10650:          tot +=  prlim[i][i];
                   10651:          fprintf(ficrespl," %.5f", prlim[i][i]);
                   10652:        }
                   10653:        fprintf(ficrespl," %.3f %d\n", tot, *ncvyearp);
                   10654:       } /* Age */
                   10655:       /* was end of cptcod */
                   10656:     } /* cptcov */
                   10657:   } /* nres */
1.219     brouard  10658:   return 0;
1.180     brouard  10659: }
                   10660: 
1.218     brouard  10661: 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  10662:        /*--------------- Back Prevalence limit  (backward stable prevalence) --------------*/
1.218     brouard  10663:        
                   10664:        /* Computes the back prevalence limit  for any combination      of covariate values 
                   10665:    * at any age between ageminpar and agemaxpar
                   10666:         */
1.235     brouard  10667:   int i, j, k, i1, nres=0 ;
1.217     brouard  10668:   /* double ftolpl = 1.e-10; */
                   10669:   double age, agebase, agelim;
                   10670:   double tot;
1.218     brouard  10671:   /* double ***mobaverage; */
                   10672:   /* double     **dnewm, **doldm, **dsavm;  /\* for use *\/ */
1.217     brouard  10673: 
                   10674:   strcpy(fileresplb,"PLB_");
                   10675:   strcat(fileresplb,fileresu);
                   10676:   if((ficresplb=fopen(fileresplb,"w"))==NULL) {
1.288     brouard  10677:     printf("Problem with backward prevalence resultfile: %s\n", fileresplb);return 1;
                   10678:     fprintf(ficlog,"Problem with backward prevalence resultfile: %s\n", fileresplb);return 1;
1.217     brouard  10679:   }
1.288     brouard  10680:   printf("Computing backward prevalence: result on file '%s' \n", fileresplb);
                   10681:   fprintf(ficlog,"Computing backward prevalence: result on file '%s' \n", fileresplb);
1.217     brouard  10682:   pstamp(ficresplb);
1.288     brouard  10683:   fprintf(ficresplb,"# Backward prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.217     brouard  10684:   fprintf(ficresplb,"#Age ");
                   10685:   for(i=1; i<=nlstate;i++) fprintf(ficresplb,"%d-%d ",i,i);
                   10686:   fprintf(ficresplb,"\n");
                   10687:   
1.218     brouard  10688:   
                   10689:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   10690:   
                   10691:   agebase=ageminpar;
                   10692:   agelim=agemaxpar;
                   10693:   
                   10694:   
1.227     brouard  10695:   i1=pow(2,cptcoveff);
1.218     brouard  10696:   if (cptcovn < 1){i1=1;}
1.227     brouard  10697:   
1.238     brouard  10698:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   10699:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  10700:      if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10701:        continue;
                   10702:       //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   10703:       fprintf(ficresplb,"#******");
                   10704:       printf("#******");
                   10705:       fprintf(ficlog,"#******");
                   10706:       for(j=1;j<=cptcoveff ;j++) {/* all covariates */
                   10707:        fprintf(ficresplb," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10708:        printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10709:        fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10710:       }
                   10711:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   10712:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10713:        fprintf(ficresplb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10714:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10715:       }
                   10716:       fprintf(ficresplb,"******\n");
                   10717:       printf("******\n");
                   10718:       fprintf(ficlog,"******\n");
                   10719:       if(invalidvarcomb[k]){
                   10720:        printf("\nCombination (%d) ignored because no cases \n",k); 
                   10721:        fprintf(ficresplb,"#Combination (%d) ignored because no cases \n",k); 
                   10722:        fprintf(ficlog,"\nCombination (%d) ignored because no cases \n",k); 
                   10723:        continue;
                   10724:       }
1.218     brouard  10725:     
1.238     brouard  10726:       fprintf(ficresplb,"#Age ");
                   10727:       for(j=1;j<=cptcoveff;j++) {
                   10728:        fprintf(ficresplb,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10729:       }
                   10730:       for(i=1; i<=nlstate;i++) fprintf(ficresplb,"  %d-%d   ",i,i);
                   10731:       fprintf(ficresplb,"Total Years_to_converge\n");
1.218     brouard  10732:     
                   10733:     
1.238     brouard  10734:       for (age=agebase; age<=agelim; age++){
                   10735:        /* for (age=agebase; age<=agebase; age++){ */
                   10736:        if(mobilavproj > 0){
                   10737:          /* bprevalim(bprlim, mobaverage, nlstate, p, age, ageminpar, agemaxpar, oldm, savm, doldm, dsavm, ftolpl, ncvyearp, k); */
                   10738:          /* bprevalim(bprlim, mobaverage, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.242     brouard  10739:          bprevalim(bprlim, mobaverage, nlstate, p, age, ftolpl, ncvyearp, k, nres);
1.238     brouard  10740:        }else if (mobilavproj == 0){
                   10741:          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);
                   10742:          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);
                   10743:          exit(1);
                   10744:        }else{
                   10745:          /* bprevalim(bprlim, probs, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.242     brouard  10746:          bprevalim(bprlim, probs, nlstate, p, age, ftolpl, ncvyearp, k,nres);
1.266     brouard  10747:          /* printf("TOTOT\n"); */
                   10748:           /* exit(1); */
1.238     brouard  10749:        }
                   10750:        fprintf(ficresplb,"%.0f ",age );
                   10751:        for(j=1;j<=cptcoveff;j++)
                   10752:          fprintf(ficresplb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10753:        tot=0.;
                   10754:        for(i=1; i<=nlstate;i++){
                   10755:          tot +=  bprlim[i][i];
                   10756:          fprintf(ficresplb," %.5f", bprlim[i][i]);
                   10757:        }
                   10758:        fprintf(ficresplb," %.3f %d\n", tot, *ncvyearp);
                   10759:       } /* Age */
                   10760:       /* was end of cptcod */
1.255     brouard  10761:       /*fprintf(ficresplb,"\n");*/ /* Seems to be necessary for gnuplot only if two result lines and no covariate. */
1.238     brouard  10762:     } /* end of any combination */
                   10763:   } /* end of nres */  
1.218     brouard  10764:   /* hBijx(p, bage, fage); */
                   10765:   /* fclose(ficrespijb); */
                   10766:   
                   10767:   return 0;
1.217     brouard  10768: }
1.218     brouard  10769:  
1.180     brouard  10770: int hPijx(double *p, int bage, int fage){
                   10771:     /*------------- h Pij x at various ages ------------*/
                   10772: 
                   10773:   int stepsize;
                   10774:   int agelim;
                   10775:   int hstepm;
                   10776:   int nhstepm;
1.235     brouard  10777:   int h, i, i1, j, k, k4, nres=0;
1.180     brouard  10778: 
                   10779:   double agedeb;
                   10780:   double ***p3mat;
                   10781: 
1.201     brouard  10782:     strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
1.180     brouard  10783:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   10784:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   10785:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   10786:     }
                   10787:     printf("Computing pij: result on file '%s' \n", filerespij);
                   10788:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   10789:   
                   10790:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   10791:     /*if (stepm<=24) stepsize=2;*/
                   10792: 
                   10793:     agelim=AGESUP;
                   10794:     hstepm=stepsize*YEARM; /* Every year of age */
                   10795:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
1.218     brouard  10796:                
1.180     brouard  10797:     /* hstepm=1;   aff par mois*/
                   10798:     pstamp(ficrespij);
                   10799:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
1.227     brouard  10800:     i1= pow(2,cptcoveff);
1.218     brouard  10801:                /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10802:                /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   10803:                /*      k=k+1;  */
1.235     brouard  10804:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   10805:     for(k=1; k<=i1;k++){
1.253     brouard  10806:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  10807:        continue;
1.183     brouard  10808:       fprintf(ficrespij,"\n#****** ");
1.227     brouard  10809:       for(j=1;j<=cptcoveff;j++) 
1.198     brouard  10810:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  10811:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   10812:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10813:        fprintf(ficrespij," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10814:       }
1.183     brouard  10815:       fprintf(ficrespij,"******\n");
                   10816:       
                   10817:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   10818:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   10819:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   10820:        
                   10821:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  10822:        
1.183     brouard  10823:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   10824:        oldm=oldms;savm=savms;
1.235     brouard  10825:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k, nres);  
1.183     brouard  10826:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   10827:        for(i=1; i<=nlstate;i++)
                   10828:          for(j=1; j<=nlstate+ndeath;j++)
                   10829:            fprintf(ficrespij," %1d-%1d",i,j);
                   10830:        fprintf(ficrespij,"\n");
                   10831:        for (h=0; h<=nhstepm; h++){
                   10832:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   10833:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  10834:          for(i=1; i<=nlstate;i++)
                   10835:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  10836:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  10837:          fprintf(ficrespij,"\n");
                   10838:        }
1.183     brouard  10839:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   10840:        fprintf(ficrespij,"\n");
                   10841:       }
1.180     brouard  10842:       /*}*/
                   10843:     }
1.218     brouard  10844:     return 0;
1.180     brouard  10845: }
1.218     brouard  10846:  
                   10847:  int hBijx(double *p, int bage, int fage, double ***prevacurrent){
1.217     brouard  10848:     /*------------- h Bij x at various ages ------------*/
                   10849: 
                   10850:   int stepsize;
1.218     brouard  10851:   /* int agelim; */
                   10852:        int ageminl;
1.217     brouard  10853:   int hstepm;
                   10854:   int nhstepm;
1.238     brouard  10855:   int h, i, i1, j, k, nres;
1.218     brouard  10856:        
1.217     brouard  10857:   double agedeb;
                   10858:   double ***p3mat;
1.218     brouard  10859:        
                   10860:   strcpy(filerespijb,"PIJB_");  strcat(filerespijb,fileresu);
                   10861:   if((ficrespijb=fopen(filerespijb,"w"))==NULL) {
                   10862:     printf("Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   10863:     fprintf(ficlog,"Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   10864:   }
                   10865:   printf("Computing pij back: result on file '%s' \n", filerespijb);
                   10866:   fprintf(ficlog,"Computing pij back: result on file '%s' \n", filerespijb);
                   10867:   
                   10868:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   10869:   /*if (stepm<=24) stepsize=2;*/
1.217     brouard  10870:   
1.218     brouard  10871:   /* agelim=AGESUP; */
1.289     brouard  10872:   ageminl=AGEINF; /* was 30 */
1.218     brouard  10873:   hstepm=stepsize*YEARM; /* Every year of age */
                   10874:   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
                   10875:   
                   10876:   /* hstepm=1;   aff par mois*/
                   10877:   pstamp(ficrespijb);
1.255     brouard  10878:   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  10879:   i1= pow(2,cptcoveff);
1.218     brouard  10880:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10881:   /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   10882:   /*   k=k+1;  */
1.238     brouard  10883:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   10884:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  10885:       if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10886:        continue;
                   10887:       fprintf(ficrespijb,"\n#****** ");
                   10888:       for(j=1;j<=cptcoveff;j++)
                   10889:        fprintf(ficrespijb,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10890:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   10891:        fprintf(ficrespijb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10892:       }
                   10893:       fprintf(ficrespijb,"******\n");
1.264     brouard  10894:       if(invalidvarcomb[k]){  /* Is it necessary here? */
1.238     brouard  10895:        fprintf(ficrespijb,"\n#Combination (%d) ignored because no cases \n",k); 
                   10896:        continue;
                   10897:       }
                   10898:       
                   10899:       /* for (agedeb=fage; agedeb>=bage; agedeb--){ /\* If stepm=6 months *\/ */
                   10900:       for (agedeb=bage; agedeb<=fage; agedeb++){ /* If stepm=6 months and estepm=24 (2 years) */
                   10901:        /* nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /\* Typically 20 years = 20*12/6=40 *\/ */
1.297     brouard  10902:        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 */
                   10903:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10, because estepm=24 stepm=6 => hstepm=24/6=4 or 28*/
1.238     brouard  10904:        
                   10905:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
                   10906:        
1.266     brouard  10907:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); /* We can't have it at an upper level because of nhstepm */
                   10908:        /* and memory limitations if stepm is small */
                   10909: 
1.238     brouard  10910:        /* oldm=oldms;savm=savms; */
                   10911:        /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
1.267     brouard  10912:        hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm, k, nres);
1.238     brouard  10913:        /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm, dnewm, doldm, dsavm, k); */
1.255     brouard  10914:        fprintf(ficrespijb,"# Cov Agex agex-h hbijx with i,j=");
1.217     brouard  10915:        for(i=1; i<=nlstate;i++)
                   10916:          for(j=1; j<=nlstate+ndeath;j++)
1.238     brouard  10917:            fprintf(ficrespijb," %1d-%1d",i,j);
1.217     brouard  10918:        fprintf(ficrespijb,"\n");
1.238     brouard  10919:        for (h=0; h<=nhstepm; h++){
                   10920:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   10921:          fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb - h*hstepm/YEARM*stepm );
                   10922:          /* fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm ); */
                   10923:          for(i=1; i<=nlstate;i++)
                   10924:            for(j=1; j<=nlstate+ndeath;j++)
                   10925:              fprintf(ficrespijb," %.5f", p3mat[i][j][h]);
                   10926:          fprintf(ficrespijb,"\n");
                   10927:        }
                   10928:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   10929:        fprintf(ficrespijb,"\n");
                   10930:       } /* end age deb */
                   10931:     } /* end combination */
                   10932:   } /* end nres */
1.218     brouard  10933:   return 0;
                   10934:  } /*  hBijx */
1.217     brouard  10935: 
1.180     brouard  10936: 
1.136     brouard  10937: /***********************************************/
                   10938: /**************** Main Program *****************/
                   10939: /***********************************************/
                   10940: 
                   10941: int main(int argc, char *argv[])
                   10942: {
                   10943: #ifdef GSL
                   10944:   const gsl_multimin_fminimizer_type *T;
                   10945:   size_t iteri = 0, it;
                   10946:   int rval = GSL_CONTINUE;
                   10947:   int status = GSL_SUCCESS;
                   10948:   double ssval;
                   10949: #endif
                   10950:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.290     brouard  10951:   int i,j, k, iter=0,m,size=100, cptcod; /* Suppressing because nobs */
                   10952:   /* int i,j, k, n=MAXN,iter=0,m,size=100, cptcod; */
1.209     brouard  10953:   int ncvyear=0; /* Number of years needed for the period prevalence to converge */
1.164     brouard  10954:   int jj, ll, li, lj, lk;
1.136     brouard  10955:   int numlinepar=0; /* Current linenumber of parameter file */
1.197     brouard  10956:   int num_filled;
1.136     brouard  10957:   int itimes;
                   10958:   int NDIM=2;
                   10959:   int vpopbased=0;
1.235     brouard  10960:   int nres=0;
1.258     brouard  10961:   int endishere=0;
1.277     brouard  10962:   int noffset=0;
1.274     brouard  10963:   int ncurrv=0; /* Temporary variable */
                   10964:   
1.164     brouard  10965:   char ca[32], cb[32];
1.136     brouard  10966:   /*  FILE *fichtm; *//* Html File */
                   10967:   /* FILE *ficgp;*/ /*Gnuplot File */
                   10968:   struct stat info;
1.191     brouard  10969:   double agedeb=0.;
1.194     brouard  10970: 
                   10971:   double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
1.219     brouard  10972:   double ageminout=-AGEOVERFLOW,agemaxout=AGEOVERFLOW; /* Smaller Age range redefined after movingaverage */
1.136     brouard  10973: 
1.165     brouard  10974:   double fret;
1.191     brouard  10975:   double dum=0.; /* Dummy variable */
1.136     brouard  10976:   double ***p3mat;
1.218     brouard  10977:   /* double ***mobaverage; */
1.164     brouard  10978: 
                   10979:   char line[MAXLINE];
1.197     brouard  10980:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
                   10981: 
1.234     brouard  10982:   char  modeltemp[MAXLINE];
1.230     brouard  10983:   char resultline[MAXLINE];
                   10984:   
1.136     brouard  10985:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  10986:   char *tok, *val; /* pathtot */
1.290     brouard  10987:   int firstobs=1, lastobs=10; /* nobs = lastobs-firstobs declared globally ;*/
1.195     brouard  10988:   int c,  h , cpt, c2;
1.191     brouard  10989:   int jl=0;
                   10990:   int i1, j1, jk, stepsize=0;
1.194     brouard  10991:   int count=0;
                   10992: 
1.164     brouard  10993:   int *tab; 
1.136     brouard  10994:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
1.296     brouard  10995:   /* double anprojd, mprojd, jprojd; /\* For eventual projections *\/ */
                   10996:   /* double anprojf, mprojf, jprojf; */
                   10997:   /* double jintmean,mintmean,aintmean;   */
                   10998:   int prvforecast = 0; /* Might be 1 (date of beginning of projection is a choice or 2 is the dateintmean */
                   10999:   int prvbackcast = 0; /* Might be 1 (date of beginning of projection is a choice or 2 is the dateintmean */
                   11000:   double yrfproj= 10.0; /* Number of years of forward projections */
                   11001:   double yrbproj= 10.0; /* Number of years of backward projections */
                   11002:   int prevbcast=0; /* defined as global for mlikeli and mle, replacing backcast */
1.136     brouard  11003:   int mobilav=0,popforecast=0;
1.191     brouard  11004:   int hstepm=0, nhstepm=0;
1.136     brouard  11005:   int agemortsup;
                   11006:   float  sumlpop=0.;
                   11007:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   11008:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   11009: 
1.191     brouard  11010:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  11011:   double ftolpl=FTOL;
                   11012:   double **prlim;
1.217     brouard  11013:   double **bprlim;
1.136     brouard  11014:   double ***param; /* Matrix of parameters */
1.251     brouard  11015:   double ***paramstart; /* Matrix of starting parameter values */
                   11016:   double  *p, *pstart; /* p=param[1][1] pstart is for starting values guessed by freqsummary */
1.136     brouard  11017:   double **matcov; /* Matrix of covariance */
1.203     brouard  11018:   double **hess; /* Hessian matrix */
1.136     brouard  11019:   double ***delti3; /* Scale */
                   11020:   double *delti; /* Scale */
                   11021:   double ***eij, ***vareij;
                   11022:   double **varpl; /* Variances of prevalence limits by age */
1.269     brouard  11023: 
1.136     brouard  11024:   double *epj, vepp;
1.164     brouard  11025: 
1.273     brouard  11026:   double dateprev1, dateprev2;
1.296     brouard  11027:   double jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000, dateproj1=0, dateproj2=0, dateprojd=0, dateprojf=0;
                   11028:   double jback1=1,mback1=1,anback1=2000,jback2=1,mback2=1,anback2=2000, dateback1=0, dateback2=0, datebackd=0, datebackf=0;
                   11029: 
1.217     brouard  11030: 
1.136     brouard  11031:   double **ximort;
1.145     brouard  11032:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  11033:   int *dcwave;
                   11034: 
1.164     brouard  11035:   char z[1]="c";
1.136     brouard  11036: 
                   11037:   /*char  *strt;*/
                   11038:   char strtend[80];
1.126     brouard  11039: 
1.164     brouard  11040: 
1.126     brouard  11041: /*   setlocale (LC_ALL, ""); */
                   11042: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   11043: /*   textdomain (PACKAGE); */
                   11044: /*   setlocale (LC_CTYPE, ""); */
                   11045: /*   setlocale (LC_MESSAGES, ""); */
                   11046: 
                   11047:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  11048:   rstart_time = time(NULL);  
                   11049:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   11050:   start_time = *localtime(&rstart_time);
1.126     brouard  11051:   curr_time=start_time;
1.157     brouard  11052:   /*tml = *localtime(&start_time.tm_sec);*/
                   11053:   /* strcpy(strstart,asctime(&tml)); */
                   11054:   strcpy(strstart,asctime(&start_time));
1.126     brouard  11055: 
                   11056: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  11057: /*  tp.tm_sec = tp.tm_sec +86400; */
                   11058: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  11059: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   11060: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   11061: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  11062: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  11063: /*   strt=asctime(&tmg); */
                   11064: /*   printf("Time(after) =%s",strstart);  */
                   11065: /*  (void) time (&time_value);
                   11066: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   11067: *  tm = *localtime(&time_value);
                   11068: *  strstart=asctime(&tm);
                   11069: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   11070: */
                   11071: 
                   11072:   nberr=0; /* Number of errors and warnings */
                   11073:   nbwarn=0;
1.184     brouard  11074: #ifdef WIN32
                   11075:   _getcwd(pathcd, size);
                   11076: #else
1.126     brouard  11077:   getcwd(pathcd, size);
1.184     brouard  11078: #endif
1.191     brouard  11079:   syscompilerinfo(0);
1.196     brouard  11080:   printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
1.126     brouard  11081:   if(argc <=1){
                   11082:     printf("\nEnter the parameter file name: ");
1.205     brouard  11083:     if(!fgets(pathr,FILENAMELENGTH,stdin)){
                   11084:       printf("ERROR Empty parameter file name\n");
                   11085:       goto end;
                   11086:     }
1.126     brouard  11087:     i=strlen(pathr);
                   11088:     if(pathr[i-1]=='\n')
                   11089:       pathr[i-1]='\0';
1.156     brouard  11090:     i=strlen(pathr);
1.205     brouard  11091:     if(i >= 1 && pathr[i-1]==' ') {/* This may happen when dragging on oS/X! */
1.156     brouard  11092:       pathr[i-1]='\0';
1.205     brouard  11093:     }
                   11094:     i=strlen(pathr);
                   11095:     if( i==0 ){
                   11096:       printf("ERROR Empty parameter file name\n");
                   11097:       goto end;
                   11098:     }
                   11099:     for (tok = pathr; tok != NULL; ){
1.126     brouard  11100:       printf("Pathr |%s|\n",pathr);
                   11101:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   11102:       printf("val= |%s| pathr=%s\n",val,pathr);
                   11103:       strcpy (pathtot, val);
                   11104:       if(pathr[0] == '\0') break; /* Dirty */
                   11105:     }
                   11106:   }
1.281     brouard  11107:   else if (argc<=2){
                   11108:     strcpy(pathtot,argv[1]);
                   11109:   }
1.126     brouard  11110:   else{
                   11111:     strcpy(pathtot,argv[1]);
1.281     brouard  11112:     strcpy(z,argv[2]);
                   11113:     printf("\nargv[2]=%s z=%c\n",argv[2],z[0]);
1.126     brouard  11114:   }
                   11115:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   11116:   /*cygwin_split_path(pathtot,path,optionfile);
                   11117:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   11118:   /* cutv(path,optionfile,pathtot,'\\');*/
                   11119: 
                   11120:   /* Split argv[0], imach program to get pathimach */
                   11121:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   11122:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   11123:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   11124:  /*   strcpy(pathimach,argv[0]); */
                   11125:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   11126:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   11127:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  11128: #ifdef WIN32
                   11129:   _chdir(path); /* Can be a relative path */
                   11130:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   11131: #else
1.126     brouard  11132:   chdir(path); /* Can be a relative path */
1.184     brouard  11133:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   11134: #endif
                   11135:   printf("Current directory %s!\n",pathcd);
1.126     brouard  11136:   strcpy(command,"mkdir ");
                   11137:   strcat(command,optionfilefiname);
                   11138:   if((outcmd=system(command)) != 0){
1.169     brouard  11139:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  11140:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   11141:     /* fclose(ficlog); */
                   11142: /*     exit(1); */
                   11143:   }
                   11144: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   11145: /*     perror("mkdir"); */
                   11146: /*   } */
                   11147: 
                   11148:   /*-------- arguments in the command line --------*/
                   11149: 
1.186     brouard  11150:   /* Main Log file */
1.126     brouard  11151:   strcat(filelog, optionfilefiname);
                   11152:   strcat(filelog,".log");    /* */
                   11153:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   11154:     printf("Problem with logfile %s\n",filelog);
                   11155:     goto end;
                   11156:   }
                   11157:   fprintf(ficlog,"Log filename:%s\n",filelog);
1.197     brouard  11158:   fprintf(ficlog,"Version %s %s",version,fullversion);
1.126     brouard  11159:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   11160:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   11161:  path=%s \n\
                   11162:  optionfile=%s\n\
                   11163:  optionfilext=%s\n\
1.156     brouard  11164:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  11165: 
1.197     brouard  11166:   syscompilerinfo(1);
1.167     brouard  11167: 
1.126     brouard  11168:   printf("Local time (at start):%s",strstart);
                   11169:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   11170:   fflush(ficlog);
                   11171: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  11172: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  11173: 
                   11174:   /* */
                   11175:   strcpy(fileres,"r");
                   11176:   strcat(fileres, optionfilefiname);
1.201     brouard  11177:   strcat(fileresu, optionfilefiname); /* Without r in front */
1.126     brouard  11178:   strcat(fileres,".txt");    /* Other files have txt extension */
1.201     brouard  11179:   strcat(fileresu,".txt");    /* Other files have txt extension */
1.126     brouard  11180: 
1.186     brouard  11181:   /* Main ---------arguments file --------*/
1.126     brouard  11182: 
                   11183:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  11184:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   11185:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  11186:     fflush(ficlog);
1.149     brouard  11187:     /* goto end; */
                   11188:     exit(70); 
1.126     brouard  11189:   }
                   11190: 
                   11191:   strcpy(filereso,"o");
1.201     brouard  11192:   strcat(filereso,fileresu);
1.126     brouard  11193:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   11194:     printf("Problem with Output resultfile: %s\n", filereso);
                   11195:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   11196:     fflush(ficlog);
                   11197:     goto end;
                   11198:   }
1.278     brouard  11199:       /*-------- Rewriting parameter file ----------*/
                   11200:   strcpy(rfileres,"r");    /* "Rparameterfile */
                   11201:   strcat(rfileres,optionfilefiname);    /* Parameter file first name */
                   11202:   strcat(rfileres,".");    /* */
                   11203:   strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   11204:   if((ficres =fopen(rfileres,"w"))==NULL) {
                   11205:     printf("Problem writing new parameter file: %s\n", rfileres);goto end;
                   11206:     fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
                   11207:     fflush(ficlog);
                   11208:     goto end;
                   11209:   }
                   11210:   fprintf(ficres,"#IMaCh %s\n",version);
1.126     brouard  11211: 
1.278     brouard  11212:                                      
1.126     brouard  11213:   /* Reads comments: lines beginning with '#' */
                   11214:   numlinepar=0;
1.277     brouard  11215:   /* Is it a BOM UTF-8 Windows file? */
                   11216:   /* First parameter line */
1.197     brouard  11217:   while(fgets(line, MAXLINE, ficpar)) {
1.277     brouard  11218:     noffset=0;
                   11219:     if( line[0] == (char)0xEF && line[1] == (char)0xBB) /* EF BB BF */
                   11220:     {
                   11221:       noffset=noffset+3;
                   11222:       printf("# File is an UTF8 Bom.\n"); // 0xBF
                   11223:     }
1.302     brouard  11224: /*    else if( line[0] == (char)0xFE && line[1] == (char)0xFF)*/
                   11225:     else if( line[0] == (char)0xFF && line[1] == (char)0xFE)
1.277     brouard  11226:     {
                   11227:       noffset=noffset+2;
                   11228:       printf("# File is an UTF16BE BOM file\n");
                   11229:     }
                   11230:     else if( line[0] == 0 && line[1] == 0)
                   11231:     {
                   11232:       if( line[2] == (char)0xFE && line[3] == (char)0xFF){
                   11233:        noffset=noffset+4;
                   11234:        printf("# File is an UTF16BE BOM file\n");
                   11235:       }
                   11236:     } else{
                   11237:       ;/*printf(" Not a BOM file\n");*/
                   11238:     }
                   11239:   
1.197     brouard  11240:     /* If line starts with a # it is a comment */
1.277     brouard  11241:     if (line[noffset] == '#') {
1.197     brouard  11242:       numlinepar++;
                   11243:       fputs(line,stdout);
                   11244:       fputs(line,ficparo);
1.278     brouard  11245:       fputs(line,ficres);
1.197     brouard  11246:       fputs(line,ficlog);
                   11247:       continue;
                   11248:     }else
                   11249:       break;
                   11250:   }
                   11251:   if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                   11252:                        title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
                   11253:     if (num_filled != 5) {
                   11254:       printf("Should be 5 parameters\n");
1.283     brouard  11255:       fprintf(ficlog,"Should be 5 parameters\n");
1.197     brouard  11256:     }
1.126     brouard  11257:     numlinepar++;
1.197     brouard  11258:     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
1.283     brouard  11259:     fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   11260:     fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   11261:     fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
1.197     brouard  11262:   }
                   11263:   /* Second parameter line */
                   11264:   while(fgets(line, MAXLINE, ficpar)) {
1.283     brouard  11265:     /* while(fscanf(ficpar,"%[^\n]", line)) { */
                   11266:     /* If line starts with a # it is a comment. Strangely fgets reads the EOL and fputs doesn't */
1.197     brouard  11267:     if (line[0] == '#') {
                   11268:       numlinepar++;
1.283     brouard  11269:       printf("%s",line);
                   11270:       fprintf(ficres,"%s",line);
                   11271:       fprintf(ficparo,"%s",line);
                   11272:       fprintf(ficlog,"%s",line);
1.197     brouard  11273:       continue;
                   11274:     }else
                   11275:       break;
                   11276:   }
1.223     brouard  11277:   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", \
                   11278:                        &ftol, &stepm, &ncovcol, &nqv, &ntv, &nqtv, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
                   11279:     if (num_filled != 11) {
                   11280:       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  11281:       printf("but line=%s\n",line);
1.283     brouard  11282:       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");
                   11283:       fprintf(ficlog,"but line=%s\n",line);
1.197     brouard  11284:     }
1.286     brouard  11285:     if( lastpass > maxwav){
                   11286:       printf("Error (lastpass = %d) > (maxwav = %d)\n",lastpass, maxwav);
                   11287:       fprintf(ficlog,"Error (lastpass = %d) > (maxwav = %d)\n",lastpass, maxwav);
                   11288:       fflush(ficlog);
                   11289:       goto end;
                   11290:     }
                   11291:       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  11292:     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  11293:     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  11294:     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  11295:   }
1.203     brouard  11296:   /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
1.209     brouard  11297:   /*ftolpl=6.e-4; *//* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
1.197     brouard  11298:   /* Third parameter line */
                   11299:   while(fgets(line, MAXLINE, ficpar)) {
                   11300:     /* If line starts with a # it is a comment */
                   11301:     if (line[0] == '#') {
                   11302:       numlinepar++;
1.283     brouard  11303:       printf("%s",line);
                   11304:       fprintf(ficres,"%s",line);
                   11305:       fprintf(ficparo,"%s",line);
                   11306:       fprintf(ficlog,"%s",line);
1.197     brouard  11307:       continue;
                   11308:     }else
                   11309:       break;
                   11310:   }
1.201     brouard  11311:   if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){
1.279     brouard  11312:     if (num_filled != 1){
1.302     brouard  11313:       printf("ERROR %d: Model should be at minimum 'model=1+age+' instead of '%s'\n",num_filled, line);
                   11314:       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age+' instead of '%s'\n",num_filled, line);
1.197     brouard  11315:       model[0]='\0';
                   11316:       goto end;
                   11317:     }
                   11318:     else{
                   11319:       if (model[0]=='+'){
                   11320:        for(i=1; i<=strlen(model);i++)
                   11321:          modeltemp[i-1]=model[i];
1.201     brouard  11322:        strcpy(model,modeltemp); 
1.197     brouard  11323:       }
                   11324:     }
1.199     brouard  11325:     /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
1.203     brouard  11326:     printf("model=1+age+%s\n",model);fflush(stdout);
1.283     brouard  11327:     fprintf(ficparo,"model=1+age+%s\n",model);fflush(stdout);
                   11328:     fprintf(ficres,"model=1+age+%s\n",model);fflush(stdout);
                   11329:     fprintf(ficlog,"model=1+age+%s\n",model);fflush(stdout);
1.197     brouard  11330:   }
                   11331:   /* 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); */
                   11332:   /* numlinepar=numlinepar+3; /\* In general *\/ */
                   11333:   /* 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  11334:   /* 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); */
                   11335:   /* 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  11336:   fflush(ficlog);
1.190     brouard  11337:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   11338:   if(model[0]=='#'){
1.279     brouard  11339:     printf("Error in 'model' line: model should start with 'model=1+age+' and end without space \n \
                   11340:  'model=1+age+' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age' or \n \
                   11341:  'model=1+age+V1+V2' or 'model=1+age+V1+V2+V1*V2' etc. \n");           \
1.187     brouard  11342:     if(mle != -1){
1.279     brouard  11343:       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  11344:       exit(1);
                   11345:     }
                   11346:   }
1.126     brouard  11347:   while((c=getc(ficpar))=='#' && c!= EOF){
                   11348:     ungetc(c,ficpar);
                   11349:     fgets(line, MAXLINE, ficpar);
                   11350:     numlinepar++;
1.195     brouard  11351:     if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
                   11352:       z[0]=line[1];
                   11353:     }
                   11354:     /* printf("****line [1] = %c \n",line[1]); */
1.141     brouard  11355:     fputs(line, stdout);
                   11356:     //puts(line);
1.126     brouard  11357:     fputs(line,ficparo);
                   11358:     fputs(line,ficlog);
                   11359:   }
                   11360:   ungetc(c,ficpar);
                   11361: 
                   11362:    
1.290     brouard  11363:   covar=matrix(0,NCOVMAX,firstobs,lastobs);  /**< used in readdata */
                   11364:   if(nqv>=1)coqvar=matrix(1,nqv,firstobs,lastobs);  /**< Fixed quantitative covariate */
                   11365:   if(nqtv>=1)cotqvar=ma3x(1,maxwav,1,nqtv,firstobs,lastobs);  /**< Time varying quantitative covariate */
                   11366:   if(ntv+nqtv>=1)cotvar=ma3x(1,maxwav,1,ntv+nqtv,firstobs,lastobs);  /**< Time varying covariate (dummy and quantitative)*/
1.136     brouard  11367:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   11368:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   11369:      v1+v2*age+v2*v3 makes cptcovn = 3
                   11370:   */
                   11371:   if (strlen(model)>1) 
1.187     brouard  11372:     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  11373:   else
1.187     brouard  11374:     ncovmodel=2; /* Constant and age */
1.133     brouard  11375:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   11376:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  11377:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   11378:     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);
                   11379:     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);
                   11380:     fflush(stdout);
                   11381:     fclose (ficlog);
                   11382:     goto end;
                   11383:   }
1.126     brouard  11384:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   11385:   delti=delti3[1][1];
                   11386:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   11387:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
1.247     brouard  11388: /* We could also provide initial parameters values giving by simple logistic regression 
                   11389:  * only one way, that is without matrix product. We will have nlstate maximizations */
                   11390:       /* for(i=1;i<nlstate;i++){ */
                   11391:       /*       /\*reducing xi for 1 to npar to 1 to ncovmodel; *\/ */
                   11392:       /*    mlikeli(ficres,p, ncovmodel, ncovmodel, nlstate, ftol, funcnoprod); */
                   11393:       /* } */
1.126     brouard  11394:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191     brouard  11395:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
                   11396:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  11397:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   11398:     fclose (ficparo);
                   11399:     fclose (ficlog);
                   11400:     goto end;
                   11401:     exit(0);
1.220     brouard  11402:   }  else if(mle==-5) { /* Main Wizard */
1.126     brouard  11403:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.192     brouard  11404:     printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   11405:     fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  11406:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   11407:     matcov=matrix(1,npar,1,npar);
1.203     brouard  11408:     hess=matrix(1,npar,1,npar);
1.220     brouard  11409:   }  else{ /* Begin of mle != -1 or -5 */
1.145     brouard  11410:     /* Read guessed parameters */
1.126     brouard  11411:     /* Reads comments: lines beginning with '#' */
                   11412:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11413:       ungetc(c,ficpar);
                   11414:       fgets(line, MAXLINE, ficpar);
                   11415:       numlinepar++;
1.141     brouard  11416:       fputs(line,stdout);
1.126     brouard  11417:       fputs(line,ficparo);
                   11418:       fputs(line,ficlog);
                   11419:     }
                   11420:     ungetc(c,ficpar);
                   11421:     
                   11422:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
1.251     brouard  11423:     paramstart= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
1.126     brouard  11424:     for(i=1; i <=nlstate; i++){
1.234     brouard  11425:       j=0;
1.126     brouard  11426:       for(jj=1; jj <=nlstate+ndeath; jj++){
1.234     brouard  11427:        if(jj==i) continue;
                   11428:        j++;
1.292     brouard  11429:        while((c=getc(ficpar))=='#' && c!= EOF){
                   11430:          ungetc(c,ficpar);
                   11431:          fgets(line, MAXLINE, ficpar);
                   11432:          numlinepar++;
                   11433:          fputs(line,stdout);
                   11434:          fputs(line,ficparo);
                   11435:          fputs(line,ficlog);
                   11436:        }
                   11437:        ungetc(c,ficpar);
1.234     brouard  11438:        fscanf(ficpar,"%1d%1d",&i1,&j1);
                   11439:        if ((i1 != i) || (j1 != jj)){
                   11440:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
1.126     brouard  11441: It might be a problem of design; if ncovcol and the model are correct\n \
                   11442: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
1.234     brouard  11443:          exit(1);
                   11444:        }
                   11445:        fprintf(ficparo,"%1d%1d",i1,j1);
                   11446:        if(mle==1)
                   11447:          printf("%1d%1d",i,jj);
                   11448:        fprintf(ficlog,"%1d%1d",i,jj);
                   11449:        for(k=1; k<=ncovmodel;k++){
                   11450:          fscanf(ficpar," %lf",&param[i][j][k]);
                   11451:          if(mle==1){
                   11452:            printf(" %lf",param[i][j][k]);
                   11453:            fprintf(ficlog," %lf",param[i][j][k]);
                   11454:          }
                   11455:          else
                   11456:            fprintf(ficlog," %lf",param[i][j][k]);
                   11457:          fprintf(ficparo," %lf",param[i][j][k]);
                   11458:        }
                   11459:        fscanf(ficpar,"\n");
                   11460:        numlinepar++;
                   11461:        if(mle==1)
                   11462:          printf("\n");
                   11463:        fprintf(ficlog,"\n");
                   11464:        fprintf(ficparo,"\n");
1.126     brouard  11465:       }
                   11466:     }  
                   11467:     fflush(ficlog);
1.234     brouard  11468:     
1.251     brouard  11469:     /* Reads parameters values */
1.126     brouard  11470:     p=param[1][1];
1.251     brouard  11471:     pstart=paramstart[1][1];
1.126     brouard  11472:     
                   11473:     /* Reads comments: lines beginning with '#' */
                   11474:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11475:       ungetc(c,ficpar);
                   11476:       fgets(line, MAXLINE, ficpar);
                   11477:       numlinepar++;
1.141     brouard  11478:       fputs(line,stdout);
1.126     brouard  11479:       fputs(line,ficparo);
                   11480:       fputs(line,ficlog);
                   11481:     }
                   11482:     ungetc(c,ficpar);
                   11483: 
                   11484:     for(i=1; i <=nlstate; i++){
                   11485:       for(j=1; j <=nlstate+ndeath-1; j++){
1.234     brouard  11486:        fscanf(ficpar,"%1d%1d",&i1,&j1);
                   11487:        if ( (i1-i) * (j1-j) != 0){
                   11488:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   11489:          exit(1);
                   11490:        }
                   11491:        printf("%1d%1d",i,j);
                   11492:        fprintf(ficparo,"%1d%1d",i1,j1);
                   11493:        fprintf(ficlog,"%1d%1d",i1,j1);
                   11494:        for(k=1; k<=ncovmodel;k++){
                   11495:          fscanf(ficpar,"%le",&delti3[i][j][k]);
                   11496:          printf(" %le",delti3[i][j][k]);
                   11497:          fprintf(ficparo," %le",delti3[i][j][k]);
                   11498:          fprintf(ficlog," %le",delti3[i][j][k]);
                   11499:        }
                   11500:        fscanf(ficpar,"\n");
                   11501:        numlinepar++;
                   11502:        printf("\n");
                   11503:        fprintf(ficparo,"\n");
                   11504:        fprintf(ficlog,"\n");
1.126     brouard  11505:       }
                   11506:     }
                   11507:     fflush(ficlog);
1.234     brouard  11508:     
1.145     brouard  11509:     /* Reads covariance matrix */
1.126     brouard  11510:     delti=delti3[1][1];
1.220     brouard  11511:                
                   11512:                
1.126     brouard  11513:     /* 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  11514:                
1.126     brouard  11515:     /* Reads comments: lines beginning with '#' */
                   11516:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11517:       ungetc(c,ficpar);
                   11518:       fgets(line, MAXLINE, ficpar);
                   11519:       numlinepar++;
1.141     brouard  11520:       fputs(line,stdout);
1.126     brouard  11521:       fputs(line,ficparo);
                   11522:       fputs(line,ficlog);
                   11523:     }
                   11524:     ungetc(c,ficpar);
1.220     brouard  11525:                
1.126     brouard  11526:     matcov=matrix(1,npar,1,npar);
1.203     brouard  11527:     hess=matrix(1,npar,1,npar);
1.131     brouard  11528:     for(i=1; i <=npar; i++)
                   11529:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
1.220     brouard  11530:                
1.194     brouard  11531:     /* Scans npar lines */
1.126     brouard  11532:     for(i=1; i <=npar; i++){
1.226     brouard  11533:       count=fscanf(ficpar,"%1d%1d%d",&i1,&j1,&jk);
1.194     brouard  11534:       if(count != 3){
1.226     brouard  11535:        printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  11536: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   11537: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  11538:        fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  11539: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   11540: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  11541:        exit(1);
1.220     brouard  11542:       }else{
1.226     brouard  11543:        if(mle==1)
                   11544:          printf("%1d%1d%d",i1,j1,jk);
                   11545:       }
                   11546:       fprintf(ficlog,"%1d%1d%d",i1,j1,jk);
                   11547:       fprintf(ficparo,"%1d%1d%d",i1,j1,jk);
1.126     brouard  11548:       for(j=1; j <=i; j++){
1.226     brouard  11549:        fscanf(ficpar," %le",&matcov[i][j]);
                   11550:        if(mle==1){
                   11551:          printf(" %.5le",matcov[i][j]);
                   11552:        }
                   11553:        fprintf(ficlog," %.5le",matcov[i][j]);
                   11554:        fprintf(ficparo," %.5le",matcov[i][j]);
1.126     brouard  11555:       }
                   11556:       fscanf(ficpar,"\n");
                   11557:       numlinepar++;
                   11558:       if(mle==1)
1.220     brouard  11559:                                printf("\n");
1.126     brouard  11560:       fprintf(ficlog,"\n");
                   11561:       fprintf(ficparo,"\n");
                   11562:     }
1.194     brouard  11563:     /* End of read covariance matrix npar lines */
1.126     brouard  11564:     for(i=1; i <=npar; i++)
                   11565:       for(j=i+1;j<=npar;j++)
1.226     brouard  11566:        matcov[i][j]=matcov[j][i];
1.126     brouard  11567:     
                   11568:     if(mle==1)
                   11569:       printf("\n");
                   11570:     fprintf(ficlog,"\n");
                   11571:     
                   11572:     fflush(ficlog);
                   11573:     
                   11574:   }    /* End of mle != -3 */
1.218     brouard  11575:   
1.186     brouard  11576:   /*  Main data
                   11577:    */
1.290     brouard  11578:   nobs=lastobs-firstobs+1; /* was = lastobs;*/
                   11579:   /* num=lvector(1,n); */
                   11580:   /* moisnais=vector(1,n); */
                   11581:   /* annais=vector(1,n); */
                   11582:   /* moisdc=vector(1,n); */
                   11583:   /* andc=vector(1,n); */
                   11584:   /* weight=vector(1,n); */
                   11585:   /* agedc=vector(1,n); */
                   11586:   /* cod=ivector(1,n); */
                   11587:   /* for(i=1;i<=n;i++){ */
                   11588:   num=lvector(firstobs,lastobs);
                   11589:   moisnais=vector(firstobs,lastobs);
                   11590:   annais=vector(firstobs,lastobs);
                   11591:   moisdc=vector(firstobs,lastobs);
                   11592:   andc=vector(firstobs,lastobs);
                   11593:   weight=vector(firstobs,lastobs);
                   11594:   agedc=vector(firstobs,lastobs);
                   11595:   cod=ivector(firstobs,lastobs);
                   11596:   for(i=firstobs;i<=lastobs;i++){
1.234     brouard  11597:     num[i]=0;
                   11598:     moisnais[i]=0;
                   11599:     annais[i]=0;
                   11600:     moisdc[i]=0;
                   11601:     andc[i]=0;
                   11602:     agedc[i]=0;
                   11603:     cod[i]=0;
                   11604:     weight[i]=1.0; /* Equal weights, 1 by default */
                   11605:   }
1.290     brouard  11606:   mint=matrix(1,maxwav,firstobs,lastobs);
                   11607:   anint=matrix(1,maxwav,firstobs,lastobs);
                   11608:   s=imatrix(1,maxwav+1,firstobs,lastobs); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  11609:   tab=ivector(1,NCOVMAX);
1.144     brouard  11610:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.192     brouard  11611:   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  11612: 
1.136     brouard  11613:   /* Reads data from file datafile */
                   11614:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   11615:     goto end;
                   11616: 
                   11617:   /* Calculation of the number of parameters from char model */
1.234     brouard  11618:   /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
1.137     brouard  11619:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   11620:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   11621:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   11622:        k=1 Tvar[1]=2 (from V2)
1.234     brouard  11623:   */
                   11624:   
                   11625:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
                   11626:   TvarsDind=ivector(1,NCOVMAX); /*  */
                   11627:   TvarsD=ivector(1,NCOVMAX); /*  */
                   11628:   TvarsQind=ivector(1,NCOVMAX); /*  */
                   11629:   TvarsQ=ivector(1,NCOVMAX); /*  */
1.232     brouard  11630:   TvarF=ivector(1,NCOVMAX); /*  */
                   11631:   TvarFind=ivector(1,NCOVMAX); /*  */
                   11632:   TvarV=ivector(1,NCOVMAX); /*  */
                   11633:   TvarVind=ivector(1,NCOVMAX); /*  */
                   11634:   TvarA=ivector(1,NCOVMAX); /*  */
                   11635:   TvarAind=ivector(1,NCOVMAX); /*  */
1.231     brouard  11636:   TvarFD=ivector(1,NCOVMAX); /*  */
                   11637:   TvarFDind=ivector(1,NCOVMAX); /*  */
                   11638:   TvarFQ=ivector(1,NCOVMAX); /*  */
                   11639:   TvarFQind=ivector(1,NCOVMAX); /*  */
                   11640:   TvarVD=ivector(1,NCOVMAX); /*  */
                   11641:   TvarVDind=ivector(1,NCOVMAX); /*  */
                   11642:   TvarVQ=ivector(1,NCOVMAX); /*  */
                   11643:   TvarVQind=ivector(1,NCOVMAX); /*  */
                   11644: 
1.230     brouard  11645:   Tvalsel=vector(1,NCOVMAX); /*  */
1.233     brouard  11646:   Tvarsel=ivector(1,NCOVMAX); /*  */
1.226     brouard  11647:   Typevar=ivector(-1,NCOVMAX); /* -1 to 2 */
                   11648:   Fixed=ivector(-1,NCOVMAX); /* -1 to 3 */
                   11649:   Dummy=ivector(-1,NCOVMAX); /* -1 to 3 */
1.137     brouard  11650:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   11651:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   11652:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   11653:   */
                   11654:   /* For model-covariate k tells which data-covariate to use but
                   11655:     because this model-covariate is a construction we invent a new column
                   11656:     ncovcol + k1
                   11657:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   11658:     Tvar[3=V1*V4]=4+1 etc */
1.227     brouard  11659:   Tprod=ivector(1,NCOVMAX); /* Gives the k position of the k1 product */
                   11660:   Tposprod=ivector(1,NCOVMAX); /* Gives the k1 product from the k position */
1.137     brouard  11661:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   11662:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
1.227     brouard  11663:      Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5]=2 
1.137     brouard  11664:   */
1.145     brouard  11665:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   11666:   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  11667:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   11668:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  11669:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  11670:                         4 covariates (3 plus signs)
                   11671:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   11672:                      */  
1.230     brouard  11673:   Tmodelind=ivector(1,NCOVMAX);/** gives the k model position of an
1.227     brouard  11674:                                * individual dummy, fixed or varying:
                   11675:                                * Tmodelind[Tvaraff[3]]=9,Tvaraff[1]@9={4,
                   11676:                                * 3, 1, 0, 0, 0, 0, 0, 0},
1.230     brouard  11677:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 , 
                   11678:                                * V1 df, V2 qf, V3 & V4 dv, V5 qv
                   11679:                                * Tmodelind[1]@9={9,0,3,2,}*/
                   11680:   TmodelInvind=ivector(1,NCOVMAX); /* TmodelInvind=Tvar[k]- ncovcol-nqv={5-2-1=2,*/
                   11681:   TmodelInvQind=ivector(1,NCOVMAX);/** gives the k model position of an
1.228     brouard  11682:                                * individual quantitative, fixed or varying:
                   11683:                                * Tmodelqind[1]=1,Tvaraff[1]@9={4,
                   11684:                                * 3, 1, 0, 0, 0, 0, 0, 0},
                   11685:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
1.186     brouard  11686: /* Main decodemodel */
                   11687: 
1.187     brouard  11688: 
1.223     brouard  11689:   if(decodemodel(model, lastobs) == 1) /* In order to get Tvar[k] V4+V3+V5 p Tvar[1]@3  = {4, 3, 5}*/
1.136     brouard  11690:     goto end;
                   11691: 
1.137     brouard  11692:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   11693:     nbwarn++;
                   11694:     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); 
                   11695:     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); 
                   11696:   }
1.136     brouard  11697:     /*  if(mle==1){*/
1.137     brouard  11698:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   11699:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  11700:   }
                   11701: 
                   11702:     /*-calculation of age at interview from date of interview and age at death -*/
                   11703:   agev=matrix(1,maxwav,1,imx);
                   11704: 
                   11705:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   11706:     goto end;
                   11707: 
1.126     brouard  11708: 
1.136     brouard  11709:   agegomp=(int)agemin;
1.290     brouard  11710:   free_vector(moisnais,firstobs,lastobs);
                   11711:   free_vector(annais,firstobs,lastobs);
1.126     brouard  11712:   /* free_matrix(mint,1,maxwav,1,n);
                   11713:      free_matrix(anint,1,maxwav,1,n);*/
1.215     brouard  11714:   /* free_vector(moisdc,1,n); */
                   11715:   /* free_vector(andc,1,n); */
1.145     brouard  11716:   /* */
                   11717:   
1.126     brouard  11718:   wav=ivector(1,imx);
1.214     brouard  11719:   /* dh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11720:   /* bh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11721:   /* mw=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11722:   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.*/
                   11723:   bh=imatrix(1,lastpass-firstpass+2,1,imx);
                   11724:   mw=imatrix(1,lastpass-firstpass+2,1,imx);
1.126     brouard  11725:    
                   11726:   /* Concatenates waves */
1.214     brouard  11727:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   11728:      Death is a valid wave (if date is known).
                   11729:      mw[mi][i] is the number of (mi=1 to wav[i]) effective wave out of mi of individual i
                   11730:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   11731:      and mw[mi+1][i]. dh depends on stepm.
                   11732:   */
                   11733: 
1.126     brouard  11734:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.248     brouard  11735:   /* Concatenates waves */
1.145     brouard  11736:  
1.290     brouard  11737:   free_vector(moisdc,firstobs,lastobs);
                   11738:   free_vector(andc,firstobs,lastobs);
1.215     brouard  11739: 
1.126     brouard  11740:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   11741:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   11742:   ncodemax[1]=1;
1.145     brouard  11743:   Ndum =ivector(-1,NCOVMAX);  
1.225     brouard  11744:   cptcoveff=0;
1.220     brouard  11745:   if (ncovmodel-nagesqr > 2 ){ /* That is if covariate other than cst, age and age*age */
                   11746:     tricode(&cptcoveff,Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
1.227     brouard  11747:   }
                   11748:   
                   11749:   ncovcombmax=pow(2,cptcoveff);
                   11750:   invalidvarcomb=ivector(1, ncovcombmax); 
                   11751:   for(i=1;i<ncovcombmax;i++)
                   11752:     invalidvarcomb[i]=0;
                   11753:   
1.211     brouard  11754:   /* Nbcode gives the value of the lth modality (currently 1 to 2) of jth covariate, in
1.186     brouard  11755:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
1.211     brouard  11756:   /* 1 to ncodemax[j] which is the maximum value of this jth covariate */
1.227     brouard  11757:   
1.200     brouard  11758:   /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
1.198     brouard  11759:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
1.186     brouard  11760:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.211     brouard  11761:   /* nbcode[Tvaraff[j]][codtabm(h,j)]) : if there are only 2 modalities for a covariate j, 
                   11762:    * codtabm(h,j) gives its value classified at position h and nbcode gives how it is coded 
                   11763:    * (currently 0 or 1) in the data.
                   11764:    * In a loop on h=1 to 2**k, and a loop on j (=1 to k), we get the value of 
                   11765:    * corresponding modality (h,j).
                   11766:    */
                   11767: 
1.145     brouard  11768:   h=0;
                   11769:   /*if (cptcovn > 0) */
1.126     brouard  11770:   m=pow(2,cptcoveff);
                   11771:  
1.144     brouard  11772:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.211     brouard  11773:           * For k=4 covariates, h goes from 1 to m=2**k
                   11774:           * codtabm(h,k)=  (1 & (h-1) >> (k-1)) + 1;
                   11775:            * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.186     brouard  11776:           *     h\k   1     2     3     4
1.143     brouard  11777:           *______________________________  
                   11778:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   11779:           *     2     2     1     1     1
                   11780:           *     3 i=2 1     2     1     1
                   11781:           *     4     2     2     1     1
                   11782:           *     5 i=3 1 i=2 1     2     1
                   11783:           *     6     2     1     2     1
                   11784:           *     7 i=4 1     2     2     1
                   11785:           *     8     2     2     2     1
1.197     brouard  11786:           *     9 i=5 1 i=3 1 i=2 1     2
                   11787:           *    10     2     1     1     2
                   11788:           *    11 i=6 1     2     1     2
                   11789:           *    12     2     2     1     2
                   11790:           *    13 i=7 1 i=4 1     2     2    
                   11791:           *    14     2     1     2     2
                   11792:           *    15 i=8 1     2     2     2
                   11793:           *    16     2     2     2     2
1.143     brouard  11794:           */
1.212     brouard  11795:   /* How to do the opposite? From combination h (=1 to 2**k) how to get the value on the covariates? */
1.211     brouard  11796:      /* from h=5 and m, we get then number of covariates k=log(m)/log(2)=4
                   11797:      * and the value of each covariate?
                   11798:      * V1=1, V2=1, V3=2, V4=1 ?
                   11799:      * h-1=4 and 4 is 0100 or reverse 0010, and +1 is 1121 ok.
                   11800:      * h=6, 6-1=5, 5 is 0101, 1010, 2121, V1=2nd, V2=1st, V3=2nd, V4=1st.
                   11801:      * In order to get the real value in the data, we use nbcode
                   11802:      * nbcode[Tvar[3][2nd]]=1 and nbcode[Tvar[4][1]]=0
                   11803:      * We are keeping this crazy system in order to be able (in the future?) 
                   11804:      * to have more than 2 values (0 or 1) for a covariate.
                   11805:      * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
                   11806:      * h=6, k=2? h-1=5=0101, reverse 1010, +1=2121, k=2nd position: value is 1: codtabm(6,2)=1
                   11807:      *              bbbbbbbb
                   11808:      *              76543210     
                   11809:      *   h-1        00000101 (6-1=5)
1.219     brouard  11810:      *(h-1)>>(k-1)= 00000010 >> (2-1) = 1 right shift
1.211     brouard  11811:      *           &
                   11812:      *     1        00000001 (1)
1.219     brouard  11813:      *              00000000        = 1 & ((h-1) >> (k-1))
                   11814:      *          +1= 00000001 =1 
1.211     brouard  11815:      *
                   11816:      * h=14, k=3 => h'=h-1=13, k'=k-1=2
                   11817:      *          h'      1101 =2^3+2^2+0x2^1+2^0
                   11818:      *    >>k'            11
                   11819:      *          &   00000001
                   11820:      *            = 00000001
                   11821:      *      +1    = 00000010=2    =  codtabm(14,3)   
                   11822:      * Reverse h=6 and m=16?
                   11823:      * cptcoveff=log(16)/log(2)=4 covariate: 6-1=5=0101 reversed=1010 +1=2121 =>V1=2, V2=1, V3=2, V4=1.
                   11824:      * for (j=1 to cptcoveff) Vj=decodtabm(j,h,cptcoveff)
                   11825:      * decodtabm(h,j,cptcoveff)= (((h-1) >> (j-1)) & 1) +1 
                   11826:      * decodtabm(h,j,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (j-1)) & 1) +1 : -1)
                   11827:      * V3=decodtabm(14,3,2**4)=2
                   11828:      *          h'=13   1101 =2^3+2^2+0x2^1+2^0
                   11829:      *(h-1) >> (j-1)    0011 =13 >> 2
                   11830:      *          &1 000000001
                   11831:      *           = 000000001
                   11832:      *         +1= 000000010 =2
                   11833:      *                  2211
                   11834:      *                  V1=1+1, V2=0+1, V3=1+1, V4=1+1
                   11835:      *                  V3=2
1.220     brouard  11836:                 * codtabm and decodtabm are identical
1.211     brouard  11837:      */
                   11838: 
1.145     brouard  11839: 
                   11840:  free_ivector(Ndum,-1,NCOVMAX);
                   11841: 
                   11842: 
1.126     brouard  11843:     
1.186     brouard  11844:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  11845:   strcpy(optionfilegnuplot,optionfilefiname);
                   11846:   if(mle==-3)
1.201     brouard  11847:     strcat(optionfilegnuplot,"-MORT_");
1.126     brouard  11848:   strcat(optionfilegnuplot,".gp");
                   11849: 
                   11850:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   11851:     printf("Problem with file %s",optionfilegnuplot);
                   11852:   }
                   11853:   else{
1.204     brouard  11854:     fprintf(ficgp,"\n# IMaCh-%s\n", version); 
1.126     brouard  11855:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  11856:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   11857:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  11858:   }
                   11859:   /*  fclose(ficgp);*/
1.186     brouard  11860: 
                   11861: 
                   11862:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  11863: 
                   11864:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   11865:   if(mle==-3)
1.201     brouard  11866:     strcat(optionfilehtm,"-MORT_");
1.126     brouard  11867:   strcat(optionfilehtm,".htm");
                   11868:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  11869:     printf("Problem with %s \n",optionfilehtm);
                   11870:     exit(0);
1.126     brouard  11871:   }
                   11872: 
                   11873:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   11874:   strcat(optionfilehtmcov,"-cov.htm");
                   11875:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   11876:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   11877:   }
                   11878:   else{
                   11879:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   11880: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  11881: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.126     brouard  11882:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   11883:   }
                   11884: 
1.213     brouard  11885:   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  11886: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   11887: <font size=\"2\">IMaCh-%s <br> %s</font> \
1.126     brouard  11888: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  11889: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n\
1.126     brouard  11890: \n\
                   11891: <hr  size=\"2\" color=\"#EC5E5E\">\
                   11892:  <ul><li><h4>Parameter files</h4>\n\
                   11893:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   11894:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   11895:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   11896:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   11897:  - Date and time at start: %s</ul>\n",\
                   11898:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   11899:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   11900:          fileres,fileres,\
                   11901:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   11902:   fflush(fichtm);
                   11903: 
                   11904:   strcpy(pathr,path);
                   11905:   strcat(pathr,optionfilefiname);
1.184     brouard  11906: #ifdef WIN32
                   11907:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   11908: #else
1.126     brouard  11909:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  11910: #endif
                   11911:          
1.126     brouard  11912:   
1.220     brouard  11913:   /* Calculates basic frequencies. Computes observed prevalence at single age 
                   11914:                 and for any valid combination of covariates
1.126     brouard  11915:      and prints on file fileres'p'. */
1.251     brouard  11916:   freqsummary(fileres, p, pstart, agemin, agemax, s, agev, nlstate, imx, Tvaraff, invalidvarcomb, nbcode, ncodemax,mint,anint,strstart, \
1.227     brouard  11917:              firstpass, lastpass,  stepm,  weightopt, model);
1.126     brouard  11918: 
                   11919:   fprintf(fichtm,"\n");
1.286     brouard  11920:   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  11921:          ftol, stepm);
                   11922:   fprintf(fichtm,"\n<li>Number of fixed dummy covariates: ncovcol=%d ", ncovcol);
                   11923:   ncurrv=1;
                   11924:   for(i=ncurrv; i <=ncovcol; i++) fprintf(fichtm,"V%d ", i);
                   11925:   fprintf(fichtm,"\n<li> Number of fixed quantitative variables: nqv=%d ", nqv); 
                   11926:   ncurrv=i;
                   11927:   for(i=ncurrv; i <=ncurrv-1+nqv; i++) fprintf(fichtm,"V%d ", i);
1.290     brouard  11928:   fprintf(fichtm,"\n<li> Number of time varying (wave varying) dummy covariates: ntv=%d ", ntv);
1.274     brouard  11929:   ncurrv=i;
                   11930:   for(i=ncurrv; i <=ncurrv-1+ntv; i++) fprintf(fichtm,"V%d ", i);
1.290     brouard  11931:   fprintf(fichtm,"\n<li>Number of time varying  quantitative covariates: nqtv=%d ", nqtv);
1.274     brouard  11932:   ncurrv=i;
                   11933:   for(i=ncurrv; i <=ncurrv-1+nqtv; i++) fprintf(fichtm,"V%d ", i);
                   11934:   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", \
                   11935:           nlstate, ndeath, maxwav, mle, weightopt);
                   11936: 
                   11937:   fprintf(fichtm,"<h4> Diagram of states <a href=\"%s_.svg\">%s_.svg</a></h4> \n\
                   11938: <img src=\"%s_.svg\">", subdirf2(optionfilefiname,"D_"),subdirf2(optionfilefiname,"D_"),subdirf2(optionfilefiname,"D_"));
                   11939: 
                   11940:   
                   11941:   fprintf(fichtm,"\n<h4>Some descriptive statistics </h4>\n<br>Total number of observations=%d <br>\n\
1.126     brouard  11942: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   11943: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
1.274     brouard  11944:   imx,agemin,agemax,jmin,jmax,jmean);
1.126     brouard  11945:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
1.268     brouard  11946:   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   11947:   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   11948:   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   11949:   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
1.218     brouard  11950: 
1.126     brouard  11951:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   11952:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   11953:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   11954: 
                   11955:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  11956:   /* For mortality only */
1.126     brouard  11957:   if (mle==-3){
1.136     brouard  11958:     ximort=matrix(1,NDIM,1,NDIM); 
1.248     brouard  11959:     for(i=1;i<=NDIM;i++)
                   11960:       for(j=1;j<=NDIM;j++)
                   11961:        ximort[i][j]=0.;
1.186     brouard  11962:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.290     brouard  11963:     cens=ivector(firstobs,lastobs);
                   11964:     ageexmed=vector(firstobs,lastobs);
                   11965:     agecens=vector(firstobs,lastobs);
                   11966:     dcwave=ivector(firstobs,lastobs);
1.223     brouard  11967:                
1.126     brouard  11968:     for (i=1; i<=imx; i++){
                   11969:       dcwave[i]=-1;
                   11970:       for (m=firstpass; m<=lastpass; m++)
1.226     brouard  11971:        if (s[m][i]>nlstate) {
                   11972:          dcwave[i]=m;
                   11973:          /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
                   11974:          break;
                   11975:        }
1.126     brouard  11976:     }
1.226     brouard  11977:     
1.126     brouard  11978:     for (i=1; i<=imx; i++) {
                   11979:       if (wav[i]>0){
1.226     brouard  11980:        ageexmed[i]=agev[mw[1][i]][i];
                   11981:        j=wav[i];
                   11982:        agecens[i]=1.; 
                   11983:        
                   11984:        if (ageexmed[i]> 1 && wav[i] > 0){
                   11985:          agecens[i]=agev[mw[j][i]][i];
                   11986:          cens[i]= 1;
                   11987:        }else if (ageexmed[i]< 1) 
                   11988:          cens[i]= -1;
                   11989:        if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
                   11990:          cens[i]=0 ;
1.126     brouard  11991:       }
                   11992:       else cens[i]=-1;
                   11993:     }
                   11994:     
                   11995:     for (i=1;i<=NDIM;i++) {
                   11996:       for (j=1;j<=NDIM;j++)
1.226     brouard  11997:        ximort[i][j]=(i == j ? 1.0 : 0.0);
1.126     brouard  11998:     }
                   11999:     
1.302     brouard  12000:     p[1]=0.0268; p[NDIM]=0.083;
                   12001:     /* printf("%lf %lf", p[1], p[2]); */
1.126     brouard  12002:     
                   12003:     
1.136     brouard  12004: #ifdef GSL
                   12005:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  12006: #else
1.126     brouard  12007:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  12008: #endif
1.201     brouard  12009:     strcpy(filerespow,"POW-MORT_"); 
                   12010:     strcat(filerespow,fileresu);
1.126     brouard  12011:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   12012:       printf("Problem with resultfile: %s\n", filerespow);
                   12013:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   12014:     }
1.136     brouard  12015: #ifdef GSL
                   12016:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  12017: #else
1.126     brouard  12018:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  12019: #endif
1.126     brouard  12020:     /*  for (i=1;i<=nlstate;i++)
                   12021:        for(j=1;j<=nlstate+ndeath;j++)
                   12022:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   12023:     */
                   12024:     fprintf(ficrespow,"\n");
1.136     brouard  12025: #ifdef GSL
                   12026:     /* gsl starts here */ 
                   12027:     T = gsl_multimin_fminimizer_nmsimplex;
                   12028:     gsl_multimin_fminimizer *sfm = NULL;
                   12029:     gsl_vector *ss, *x;
                   12030:     gsl_multimin_function minex_func;
                   12031: 
                   12032:     /* Initial vertex size vector */
                   12033:     ss = gsl_vector_alloc (NDIM);
                   12034:     
                   12035:     if (ss == NULL){
                   12036:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   12037:     }
                   12038:     /* Set all step sizes to 1 */
                   12039:     gsl_vector_set_all (ss, 0.001);
                   12040: 
                   12041:     /* Starting point */
1.126     brouard  12042:     
1.136     brouard  12043:     x = gsl_vector_alloc (NDIM);
                   12044:     
                   12045:     if (x == NULL){
                   12046:       gsl_vector_free(ss);
                   12047:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   12048:     }
                   12049:   
                   12050:     /* Initialize method and iterate */
                   12051:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  12052:     /*     gsl_vector_set(x, 0, 0.0268); */
                   12053:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  12054:     gsl_vector_set(x, 0, p[1]);
                   12055:     gsl_vector_set(x, 1, p[2]);
                   12056: 
                   12057:     minex_func.f = &gompertz_f;
                   12058:     minex_func.n = NDIM;
                   12059:     minex_func.params = (void *)&p; /* ??? */
                   12060:     
                   12061:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   12062:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   12063:     
                   12064:     printf("Iterations beginning .....\n\n");
                   12065:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   12066: 
                   12067:     iteri=0;
                   12068:     while (rval == GSL_CONTINUE){
                   12069:       iteri++;
                   12070:       status = gsl_multimin_fminimizer_iterate(sfm);
                   12071:       
                   12072:       if (status) printf("error: %s\n", gsl_strerror (status));
                   12073:       fflush(0);
                   12074:       
                   12075:       if (status) 
                   12076:         break;
                   12077:       
                   12078:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   12079:       ssval = gsl_multimin_fminimizer_size (sfm);
                   12080:       
                   12081:       if (rval == GSL_SUCCESS)
                   12082:         printf ("converged to a local maximum at\n");
                   12083:       
                   12084:       printf("%5d ", iteri);
                   12085:       for (it = 0; it < NDIM; it++){
                   12086:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   12087:       }
                   12088:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   12089:     }
                   12090:     
                   12091:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   12092:     
                   12093:     gsl_vector_free(x); /* initial values */
                   12094:     gsl_vector_free(ss); /* inital step size */
                   12095:     for (it=0; it<NDIM; it++){
                   12096:       p[it+1]=gsl_vector_get(sfm->x,it);
                   12097:       fprintf(ficrespow," %.12lf", p[it]);
                   12098:     }
                   12099:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   12100: #endif
                   12101: #ifdef POWELL
                   12102:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   12103: #endif  
1.126     brouard  12104:     fclose(ficrespow);
                   12105:     
1.203     brouard  12106:     hesscov(matcov, hess, p, NDIM, delti, 1e-4, gompertz); 
1.126     brouard  12107: 
                   12108:     for(i=1; i <=NDIM; i++)
                   12109:       for(j=i+1;j<=NDIM;j++)
1.220     brouard  12110:                                matcov[i][j]=matcov[j][i];
1.126     brouard  12111:     
                   12112:     printf("\nCovariance matrix\n ");
1.203     brouard  12113:     fprintf(ficlog,"\nCovariance matrix\n ");
1.126     brouard  12114:     for(i=1; i <=NDIM; i++) {
                   12115:       for(j=1;j<=NDIM;j++){ 
1.220     brouard  12116:                                printf("%f ",matcov[i][j]);
                   12117:                                fprintf(ficlog,"%f ",matcov[i][j]);
1.126     brouard  12118:       }
1.203     brouard  12119:       printf("\n ");  fprintf(ficlog,"\n ");
1.126     brouard  12120:     }
                   12121:     
                   12122:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
1.193     brouard  12123:     for (i=1;i<=NDIM;i++) {
1.126     brouard  12124:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.193     brouard  12125:       fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   12126:     }
1.302     brouard  12127:     lsurv=vector(agegomp,AGESUP);
                   12128:     lpop=vector(agegomp,AGESUP);
                   12129:     tpop=vector(agegomp,AGESUP);
1.126     brouard  12130:     lsurv[agegomp]=100000;
                   12131:     
                   12132:     for (k=agegomp;k<=AGESUP;k++) {
                   12133:       agemortsup=k;
                   12134:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   12135:     }
                   12136:     
                   12137:     for (k=agegomp;k<agemortsup;k++)
                   12138:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   12139:     
                   12140:     for (k=agegomp;k<agemortsup;k++){
                   12141:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   12142:       sumlpop=sumlpop+lpop[k];
                   12143:     }
                   12144:     
                   12145:     tpop[agegomp]=sumlpop;
                   12146:     for (k=agegomp;k<(agemortsup-3);k++){
                   12147:       /*  tpop[k+1]=2;*/
                   12148:       tpop[k+1]=tpop[k]-lpop[k];
                   12149:     }
                   12150:     
                   12151:     
                   12152:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   12153:     for (k=agegomp;k<(agemortsup-2);k++) 
                   12154:       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]);
                   12155:     
                   12156:     
                   12157:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.220     brouard  12158:                ageminpar=50;
                   12159:                agemaxpar=100;
1.194     brouard  12160:     if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
                   12161:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   12162: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12163: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   12164:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   12165: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12166: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  12167:     }else{
                   12168:                        printf("Warning! ageminpar %f and agemaxpar %f have been fixed because for simplification until it is fixed...\n\n",ageminpar,agemaxpar);
                   12169:                        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  12170:       printinggnuplotmort(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
1.220     brouard  12171:                }
1.201     brouard  12172:     printinghtmlmort(fileresu,title,datafile, firstpass, lastpass, \
1.126     brouard  12173:                     stepm, weightopt,\
                   12174:                     model,imx,p,matcov,agemortsup);
                   12175:     
1.302     brouard  12176:     free_vector(lsurv,agegomp,AGESUP);
                   12177:     free_vector(lpop,agegomp,AGESUP);
                   12178:     free_vector(tpop,agegomp,AGESUP);
1.220     brouard  12179:     free_matrix(ximort,1,NDIM,1,NDIM);
1.290     brouard  12180:     free_ivector(dcwave,firstobs,lastobs);
                   12181:     free_vector(agecens,firstobs,lastobs);
                   12182:     free_vector(ageexmed,firstobs,lastobs);
                   12183:     free_ivector(cens,firstobs,lastobs);
1.220     brouard  12184: #ifdef GSL
1.136     brouard  12185: #endif
1.186     brouard  12186:   } /* Endof if mle==-3 mortality only */
1.205     brouard  12187:   /* Standard  */
                   12188:   else{ /* For mle !=- 3, could be 0 or 1 or 4 etc. */
                   12189:     globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   12190:     /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
1.132     brouard  12191:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  12192:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   12193:     for (k=1; k<=npar;k++)
                   12194:       printf(" %d %8.5f",k,p[k]);
                   12195:     printf("\n");
1.205     brouard  12196:     if(mle>=1){ /* Could be 1 or 2, Real Maximization */
                   12197:       /* mlikeli uses func not funcone */
1.247     brouard  12198:       /* for(i=1;i<nlstate;i++){ */
                   12199:       /*       /\*reducing xi for 1 to npar to 1 to ncovmodel; *\/ */
                   12200:       /*    mlikeli(ficres,p, ncovmodel, ncovmodel, nlstate, ftol, funcnoprod); */
                   12201:       /* } */
1.205     brouard  12202:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
                   12203:     }
                   12204:     if(mle==0) {/* No optimization, will print the likelihoods for the datafile */
                   12205:       globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   12206:       /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
                   12207:       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   12208:     }
                   12209:     globpr=1; /* again, to print the individual contributions using computed gpimx and gsw */
1.126     brouard  12210:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   12211:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   12212:     for (k=1; k<=npar;k++)
                   12213:       printf(" %d %8.5f",k,p[k]);
                   12214:     printf("\n");
                   12215:     
                   12216:     /*--------- results files --------------*/
1.283     brouard  12217:     /* 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  12218:     
                   12219:     
                   12220:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   12221:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   12222:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   12223:     for(i=1,jk=1; i <=nlstate; i++){
                   12224:       for(k=1; k <=(nlstate+ndeath); k++){
1.225     brouard  12225:        if (k != i) {
                   12226:          printf("%d%d ",i,k);
                   12227:          fprintf(ficlog,"%d%d ",i,k);
                   12228:          fprintf(ficres,"%1d%1d ",i,k);
                   12229:          for(j=1; j <=ncovmodel; j++){
                   12230:            printf("%12.7f ",p[jk]);
                   12231:            fprintf(ficlog,"%12.7f ",p[jk]);
                   12232:            fprintf(ficres,"%12.7f ",p[jk]);
                   12233:            jk++; 
                   12234:          }
                   12235:          printf("\n");
                   12236:          fprintf(ficlog,"\n");
                   12237:          fprintf(ficres,"\n");
                   12238:        }
1.126     brouard  12239:       }
                   12240:     }
1.203     brouard  12241:     if(mle != 0){
                   12242:       /* Computing hessian and covariance matrix only at a peak of the Likelihood, that is after optimization */
1.126     brouard  12243:       ftolhess=ftol; /* Usually correct */
1.203     brouard  12244:       hesscov(matcov, hess, p, npar, delti, ftolhess, func);
                   12245:       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");
                   12246:       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");
                   12247:       for(i=1,jk=1; i <=nlstate; i++){
1.225     brouard  12248:        for(k=1; k <=(nlstate+ndeath); k++){
                   12249:          if (k != i) {
                   12250:            printf("%d%d ",i,k);
                   12251:            fprintf(ficlog,"%d%d ",i,k);
                   12252:            for(j=1; j <=ncovmodel; j++){
                   12253:              printf("%12.7f W=%8.3f CI=[%12.7f ; %12.7f] ",p[jk], p[jk]/sqrt(matcov[jk][jk]), p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk]));
                   12254:              fprintf(ficlog,"%12.7f W=%8.3f CI=[%12.7f ; %12.7f] ",p[jk], p[jk]/sqrt(matcov[jk][jk]), p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk]));
                   12255:              jk++; 
                   12256:            }
                   12257:            printf("\n");
                   12258:            fprintf(ficlog,"\n");
                   12259:          }
                   12260:        }
1.193     brouard  12261:       }
1.203     brouard  12262:     } /* end of hesscov and Wald tests */
1.225     brouard  12263:     
1.203     brouard  12264:     /*  */
1.126     brouard  12265:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   12266:     printf("# Scales (for hessian or gradient estimation)\n");
                   12267:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   12268:     for(i=1,jk=1; i <=nlstate; i++){
                   12269:       for(j=1; j <=nlstate+ndeath; j++){
1.225     brouard  12270:        if (j!=i) {
                   12271:          fprintf(ficres,"%1d%1d",i,j);
                   12272:          printf("%1d%1d",i,j);
                   12273:          fprintf(ficlog,"%1d%1d",i,j);
                   12274:          for(k=1; k<=ncovmodel;k++){
                   12275:            printf(" %.5e",delti[jk]);
                   12276:            fprintf(ficlog," %.5e",delti[jk]);
                   12277:            fprintf(ficres," %.5e",delti[jk]);
                   12278:            jk++;
                   12279:          }
                   12280:          printf("\n");
                   12281:          fprintf(ficlog,"\n");
                   12282:          fprintf(ficres,"\n");
                   12283:        }
1.126     brouard  12284:       }
                   12285:     }
                   12286:     
                   12287:     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  12288:     if(mle >= 1) /* To big for the screen */
1.126     brouard  12289:       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");
                   12290:     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");
                   12291:     /* # 121 Var(a12)\n\ */
                   12292:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   12293:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   12294:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   12295:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   12296:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   12297:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   12298:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   12299:     
                   12300:     
                   12301:     /* Just to have a covariance matrix which will be more understandable
                   12302:        even is we still don't want to manage dictionary of variables
                   12303:     */
                   12304:     for(itimes=1;itimes<=2;itimes++){
                   12305:       jj=0;
                   12306:       for(i=1; i <=nlstate; i++){
1.225     brouard  12307:        for(j=1; j <=nlstate+ndeath; j++){
                   12308:          if(j==i) continue;
                   12309:          for(k=1; k<=ncovmodel;k++){
                   12310:            jj++;
                   12311:            ca[0]= k+'a'-1;ca[1]='\0';
                   12312:            if(itimes==1){
                   12313:              if(mle>=1)
                   12314:                printf("#%1d%1d%d",i,j,k);
                   12315:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
                   12316:              fprintf(ficres,"#%1d%1d%d",i,j,k);
                   12317:            }else{
                   12318:              if(mle>=1)
                   12319:                printf("%1d%1d%d",i,j,k);
                   12320:              fprintf(ficlog,"%1d%1d%d",i,j,k);
                   12321:              fprintf(ficres,"%1d%1d%d",i,j,k);
                   12322:            }
                   12323:            ll=0;
                   12324:            for(li=1;li <=nlstate; li++){
                   12325:              for(lj=1;lj <=nlstate+ndeath; lj++){
                   12326:                if(lj==li) continue;
                   12327:                for(lk=1;lk<=ncovmodel;lk++){
                   12328:                  ll++;
                   12329:                  if(ll<=jj){
                   12330:                    cb[0]= lk +'a'-1;cb[1]='\0';
                   12331:                    if(ll<jj){
                   12332:                      if(itimes==1){
                   12333:                        if(mle>=1)
                   12334:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12335:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12336:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12337:                      }else{
                   12338:                        if(mle>=1)
                   12339:                          printf(" %.5e",matcov[jj][ll]); 
                   12340:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   12341:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   12342:                      }
                   12343:                    }else{
                   12344:                      if(itimes==1){
                   12345:                        if(mle>=1)
                   12346:                          printf(" Var(%s%1d%1d)",ca,i,j);
                   12347:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                   12348:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                   12349:                      }else{
                   12350:                        if(mle>=1)
                   12351:                          printf(" %.7e",matcov[jj][ll]); 
                   12352:                        fprintf(ficlog," %.7e",matcov[jj][ll]); 
                   12353:                        fprintf(ficres," %.7e",matcov[jj][ll]); 
                   12354:                      }
                   12355:                    }
                   12356:                  }
                   12357:                } /* end lk */
                   12358:              } /* end lj */
                   12359:            } /* end li */
                   12360:            if(mle>=1)
                   12361:              printf("\n");
                   12362:            fprintf(ficlog,"\n");
                   12363:            fprintf(ficres,"\n");
                   12364:            numlinepar++;
                   12365:          } /* end k*/
                   12366:        } /*end j */
1.126     brouard  12367:       } /* end i */
                   12368:     } /* end itimes */
                   12369:     
                   12370:     fflush(ficlog);
                   12371:     fflush(ficres);
1.225     brouard  12372:     while(fgets(line, MAXLINE, ficpar)) {
                   12373:       /* If line starts with a # it is a comment */
                   12374:       if (line[0] == '#') {
                   12375:        numlinepar++;
                   12376:        fputs(line,stdout);
                   12377:        fputs(line,ficparo);
                   12378:        fputs(line,ficlog);
1.299     brouard  12379:        fputs(line,ficres);
1.225     brouard  12380:        continue;
                   12381:       }else
                   12382:        break;
                   12383:     }
                   12384:     
1.209     brouard  12385:     /* while((c=getc(ficpar))=='#' && c!= EOF){ */
                   12386:     /*   ungetc(c,ficpar); */
                   12387:     /*   fgets(line, MAXLINE, ficpar); */
                   12388:     /*   fputs(line,stdout); */
                   12389:     /*   fputs(line,ficparo); */
                   12390:     /* } */
                   12391:     /* ungetc(c,ficpar); */
1.126     brouard  12392:     
                   12393:     estepm=0;
1.209     brouard  12394:     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  12395:       
                   12396:       if (num_filled != 6) {
                   12397:        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);
                   12398:        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);
                   12399:        goto end;
                   12400:       }
                   12401:       printf("agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",ageminpar,agemaxpar, bage, fage, estepm, ftolpl);
                   12402:     }
                   12403:     /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
                   12404:     /*ftolpl=6.e-4;*/ /* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
                   12405:     
1.209     brouard  12406:     /* fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm); */
1.126     brouard  12407:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   12408:     if (fage <= 2) {
                   12409:       bage = ageminpar;
                   12410:       fage = agemaxpar;
                   12411:     }
                   12412:     
                   12413:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
1.211     brouard  12414:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
                   12415:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d, ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
1.220     brouard  12416:                
1.186     brouard  12417:     /* Other stuffs, more or less useful */    
1.254     brouard  12418:     while(fgets(line, MAXLINE, ficpar)) {
                   12419:       /* If line starts with a # it is a comment */
                   12420:       if (line[0] == '#') {
                   12421:        numlinepar++;
                   12422:        fputs(line,stdout);
                   12423:        fputs(line,ficparo);
                   12424:        fputs(line,ficlog);
1.299     brouard  12425:        fputs(line,ficres);
1.254     brouard  12426:        continue;
                   12427:       }else
                   12428:        break;
                   12429:     }
                   12430: 
                   12431:     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){
                   12432:       
                   12433:       if (num_filled != 7) {
                   12434:        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);
                   12435:        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);
                   12436:        goto end;
                   12437:       }
                   12438:       printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   12439:       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);
                   12440:       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);
                   12441:       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  12442:     }
1.254     brouard  12443: 
                   12444:     while(fgets(line, MAXLINE, ficpar)) {
                   12445:       /* If line starts with a # it is a comment */
                   12446:       if (line[0] == '#') {
                   12447:        numlinepar++;
                   12448:        fputs(line,stdout);
                   12449:        fputs(line,ficparo);
                   12450:        fputs(line,ficlog);
1.299     brouard  12451:        fputs(line,ficres);
1.254     brouard  12452:        continue;
                   12453:       }else
                   12454:        break;
1.126     brouard  12455:     }
                   12456:     
                   12457:     
                   12458:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   12459:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   12460:     
1.254     brouard  12461:     if((num_filled=sscanf(line,"pop_based=%d\n",&popbased)) !=EOF){
                   12462:       if (num_filled != 1) {
                   12463:        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);
                   12464:        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);
                   12465:        goto end;
                   12466:       }
                   12467:       printf("pop_based=%d\n",popbased);
                   12468:       fprintf(ficlog,"pop_based=%d\n",popbased);
                   12469:       fprintf(ficparo,"pop_based=%d\n",popbased);   
                   12470:       fprintf(ficres,"pop_based=%d\n",popbased);   
                   12471:     }
                   12472:      
1.258     brouard  12473:     /* Results */
1.307     brouard  12474:     endishere=0;
1.258     brouard  12475:     nresult=0;
1.308     brouard  12476:     parameterline=0;
1.258     brouard  12477:     do{
                   12478:       if(!fgets(line, MAXLINE, ficpar)){
                   12479:        endishere=1;
1.308     brouard  12480:        parameterline=15;
1.258     brouard  12481:       }else if (line[0] == '#') {
                   12482:        /* If line starts with a # it is a comment */
1.254     brouard  12483:        numlinepar++;
                   12484:        fputs(line,stdout);
                   12485:        fputs(line,ficparo);
                   12486:        fputs(line,ficlog);
1.299     brouard  12487:        fputs(line,ficres);
1.254     brouard  12488:        continue;
1.258     brouard  12489:       }else if(sscanf(line,"prevforecast=%[^\n]\n",modeltemp))
                   12490:        parameterline=11;
1.296     brouard  12491:       else if(sscanf(line,"prevbackcast=%[^\n]\n",modeltemp))
1.258     brouard  12492:        parameterline=12;
1.307     brouard  12493:       else if(sscanf(line,"result:%[^\n]\n",modeltemp)){
1.258     brouard  12494:        parameterline=13;
1.307     brouard  12495:       }
1.258     brouard  12496:       else{
                   12497:        parameterline=14;
1.254     brouard  12498:       }
1.308     brouard  12499:       switch (parameterline){ /* =0 only if only comments */
1.258     brouard  12500:       case 11:
1.296     brouard  12501:        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)){
                   12502:                  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  12503:          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);
                   12504:          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);
                   12505:          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);
                   12506:          /* day and month of proj2 are not used but only year anproj2.*/
1.273     brouard  12507:          dateproj1=anproj1+(mproj1-1)/12.+(jproj1-1)/365.;
                   12508:          dateproj2=anproj2+(mproj2-1)/12.+(jproj2-1)/365.;
1.296     brouard  12509:           prvforecast = 1;
                   12510:        } 
                   12511:        else if((num_filled=sscanf(line,"prevforecast=%d yearsfproj=%lf mobil_average=%d\n",&prevfcast,&yrfproj,&mobilavproj)) !=EOF){/* && (num_filled == 3))*/
1.302     brouard  12512:          printf("prevforecast=%d yearsfproj=%lf.2 mobil_average=%d\n",prevfcast,yrfproj,mobilavproj);
                   12513:          fprintf(ficlog,"prevforecast=%d yearsfproj=%lf.2 mobil_average=%d\n",prevfcast,yrfproj,mobilavproj);
                   12514:          fprintf(ficres,"prevforecast=%d yearsfproj=%lf.2 mobil_average=%d\n",prevfcast,yrfproj,mobilavproj);
1.296     brouard  12515:           prvforecast = 2;
                   12516:        }
                   12517:        else {
                   12518:          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);
                   12519:          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);
                   12520:          goto end;
1.258     brouard  12521:        }
1.254     brouard  12522:        break;
1.258     brouard  12523:       case 12:
1.296     brouard  12524:        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)){
                   12525:           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);
                   12526:          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);
                   12527:          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);
                   12528:          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);
                   12529:          /* day and month of back2 are not used but only year anback2.*/
1.273     brouard  12530:          dateback1=anback1+(mback1-1)/12.+(jback1-1)/365.;
                   12531:          dateback2=anback2+(mback2-1)/12.+(jback2-1)/365.;
1.296     brouard  12532:           prvbackcast = 1;
                   12533:        } 
                   12534:        else if((num_filled=sscanf(line,"prevbackcast=%d yearsbproj=%lf mobil_average=%d\n",&prevbcast,&yrbproj,&mobilavproj)) ==3){/* && (num_filled == 3))*/
1.302     brouard  12535:          printf("prevbackcast=%d yearsbproj=%lf.2 mobil_average=%d\n",prevbcast,yrbproj,mobilavproj);
                   12536:          fprintf(ficlog,"prevbackcast=%d yearsbproj=%lf.2 mobil_average=%d\n",prevbcast,yrbproj,mobilavproj);
                   12537:          fprintf(ficres,"prevbackcast=%d yearsbproj=%lf.2 mobil_average=%d\n",prevbcast,yrbproj,mobilavproj);
1.296     brouard  12538:           prvbackcast = 2;
                   12539:        }
                   12540:        else {
                   12541:          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);
                   12542:          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);
                   12543:          goto end;
1.258     brouard  12544:        }
1.230     brouard  12545:        break;
1.258     brouard  12546:       case 13:
1.307     brouard  12547:        num_filled=sscanf(line,"result:%[^\n]\n",resultline);
                   12548:        nresult++; /* Sum of resultlines */
                   12549:        printf("Result %d: result:%s\n",nresult, resultline);
                   12550:        if(nresult > MAXRESULTLINES){
                   12551:          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. ",MAXRESULTLINES,nresult,rfileres);
                   12552:          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. ",MAXRESULTLINES,nresult,rfileres);
                   12553:          goto end;
                   12554:        }
1.310     brouard  12555:        if(!decoderesult(resultline, nresult)){ /* Fills TKresult[nresult] combination and Tresult[nresult][k4+1] combination values */
1.307     brouard  12556:        fprintf(ficparo,"result: %s\n",resultline);
                   12557:        fprintf(ficres,"result: %s\n",resultline);
                   12558:        fprintf(ficlog,"result: %s\n",resultline);
1.310     brouard  12559:        } else
                   12560:          goto end;
1.307     brouard  12561:        break;
                   12562:       case 14:
                   12563:        printf("Error: Unknown command '%s'\n",line);
                   12564:        fprintf(ficlog,"Error: Unknown command '%s'\n",line);
                   12565:        if(ncovmodel >=2 && nresult==0 ){
                   12566:          printf("ERROR: no result lines! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",line);
                   12567:          fprintf(ficlog,"ERROR: no result lines! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",line);
1.258     brouard  12568:        }
1.307     brouard  12569:        /* goto end; */
                   12570:        break;
1.308     brouard  12571:       case 15:
                   12572:        printf("End of resultlines.\n");
                   12573:        fprintf(ficlog,"End of resultlines.\n");
                   12574:        break;
                   12575:       default: /* parameterline =0 */
1.307     brouard  12576:        nresult=1;
                   12577:        decoderesult(".",nresult ); /* No covariate */
1.258     brouard  12578:       } /* End switch parameterline */
                   12579:     }while(endishere==0); /* End do */
1.126     brouard  12580:     
1.230     brouard  12581:     /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
1.145     brouard  12582:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  12583:     
                   12584:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  12585:     if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
1.230     brouard  12586:       printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  12587: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12588: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.230     brouard  12589:       fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  12590: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12591: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  12592:     }else{
1.270     brouard  12593:       /* printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, prevfcast, backcast, pathc,p, (int)anproj1-(int)agemin, (int)anback1-(int)agemax+1); */
1.296     brouard  12594:       /* It seems that anprojd which is computed from the mean year at interview which is known yet because of freqsummary */
                   12595:       /* date2dmy(dateintmean,&jintmean,&mintmean,&aintmean); */ /* Done in freqsummary */
                   12596:       if(prvforecast==1){
                   12597:         dateprojd=(jproj1+12*mproj1+365*anproj1)/365;
                   12598:         jprojd=jproj1;
                   12599:         mprojd=mproj1;
                   12600:         anprojd=anproj1;
                   12601:         dateprojf=(jproj2+12*mproj2+365*anproj2)/365;
                   12602:         jprojf=jproj2;
                   12603:         mprojf=mproj2;
                   12604:         anprojf=anproj2;
                   12605:       } else if(prvforecast == 2){
                   12606:         dateprojd=dateintmean;
                   12607:         date2dmy(dateprojd,&jprojd, &mprojd, &anprojd);
                   12608:         dateprojf=dateintmean+yrfproj;
                   12609:         date2dmy(dateprojf,&jprojf, &mprojf, &anprojf);
                   12610:       }
                   12611:       if(prvbackcast==1){
                   12612:         datebackd=(jback1+12*mback1+365*anback1)/365;
                   12613:         jbackd=jback1;
                   12614:         mbackd=mback1;
                   12615:         anbackd=anback1;
                   12616:         datebackf=(jback2+12*mback2+365*anback2)/365;
                   12617:         jbackf=jback2;
                   12618:         mbackf=mback2;
                   12619:         anbackf=anback2;
                   12620:       } else if(prvbackcast == 2){
                   12621:         datebackd=dateintmean;
                   12622:         date2dmy(datebackd,&jbackd, &mbackd, &anbackd);
                   12623:         datebackf=dateintmean-yrbproj;
                   12624:         date2dmy(datebackf,&jbackf, &mbackf, &anbackf);
                   12625:       }
                   12626:       
                   12627:       printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,bage, fage, prevfcast, prevbcast, pathc,p, (int)anprojd-bage, (int)anbackd-fage);
1.220     brouard  12628:     }
                   12629:     printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt, \
1.296     brouard  12630:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,mobilav,prevfcast,mobilavproj,prevbcast, estepm, \
                   12631:                 jprev1,mprev1,anprev1,dateprev1, dateprojd, datebackd,jprev2,mprev2,anprev2,dateprev2,dateprojf, datebackf);
1.220     brouard  12632:                
1.225     brouard  12633:     /*------------ free_vector  -------------*/
                   12634:     /*  chdir(path); */
1.220     brouard  12635:                
1.215     brouard  12636:     /* free_ivector(wav,1,imx); */  /* Moved after last prevalence call */
                   12637:     /* free_imatrix(dh,1,lastpass-firstpass+2,1,imx); */
                   12638:     /* free_imatrix(bh,1,lastpass-firstpass+2,1,imx); */
                   12639:     /* free_imatrix(mw,1,lastpass-firstpass+2,1,imx);    */
1.290     brouard  12640:     free_lvector(num,firstobs,lastobs);
                   12641:     free_vector(agedc,firstobs,lastobs);
1.126     brouard  12642:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   12643:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   12644:     fclose(ficparo);
                   12645:     fclose(ficres);
1.220     brouard  12646:                
                   12647:                
1.186     brouard  12648:     /* Other results (useful)*/
1.220     brouard  12649:                
                   12650:                
1.126     brouard  12651:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  12652:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   12653:     prlim=matrix(1,nlstate,1,nlstate);
1.209     brouard  12654:     prevalence_limit(p, prlim,  ageminpar, agemaxpar, ftolpl, &ncvyear);
1.126     brouard  12655:     fclose(ficrespl);
                   12656: 
                   12657:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  12658:     /*#include "hpijx.h"*/
                   12659:     hPijx(p, bage, fage);
1.145     brouard  12660:     fclose(ficrespij);
1.227     brouard  12661:     
1.220     brouard  12662:     /* ncovcombmax=  pow(2,cptcoveff); */
1.219     brouard  12663:     /*-------------- Variance of one-step probabilities---*/
1.145     brouard  12664:     k=1;
1.126     brouard  12665:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
1.227     brouard  12666:     
1.269     brouard  12667:     /* Prevalence for each covariate combination in probs[age][status][cov] */
                   12668:     probs= ma3x(AGEINF,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
                   12669:     for(i=AGEINF;i<=AGESUP;i++)
1.219     brouard  12670:       for(j=1;j<=nlstate+ndeath;j++) /* ndeath is useless but a necessity to be compared with mobaverages */
1.225     brouard  12671:        for(k=1;k<=ncovcombmax;k++)
                   12672:          probs[i][j][k]=0.;
1.269     brouard  12673:     prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, 
                   12674:               ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
1.219     brouard  12675:     if (mobilav!=0 ||mobilavproj !=0 ) {
1.269     brouard  12676:       mobaverages= ma3x(AGEINF, AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
                   12677:       for(i=AGEINF;i<=AGESUP;i++)
1.268     brouard  12678:        for(j=1;j<=nlstate+ndeath;j++)
1.227     brouard  12679:          for(k=1;k<=ncovcombmax;k++)
                   12680:            mobaverages[i][j][k]=0.;
1.219     brouard  12681:       mobaverage=mobaverages;
                   12682:       if (mobilav!=0) {
1.235     brouard  12683:        printf("Movingaveraging observed prevalence\n");
1.258     brouard  12684:        fprintf(ficlog,"Movingaveraging observed prevalence\n");
1.227     brouard  12685:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilav)!=0){
                   12686:          fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   12687:          printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   12688:        }
1.269     brouard  12689:       } else if (mobilavproj !=0) {
1.235     brouard  12690:        printf("Movingaveraging projected observed prevalence\n");
1.258     brouard  12691:        fprintf(ficlog,"Movingaveraging projected observed prevalence\n");
1.227     brouard  12692:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilavproj)!=0){
                   12693:          fprintf(ficlog," Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   12694:          printf(" Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   12695:        }
1.269     brouard  12696:       }else{
                   12697:        printf("Internal error moving average\n");
                   12698:        fflush(stdout);
                   12699:        exit(1);
1.219     brouard  12700:       }
                   12701:     }/* end if moving average */
1.227     brouard  12702:     
1.126     brouard  12703:     /*---------- Forecasting ------------------*/
1.296     brouard  12704:     if(prevfcast==1){ 
                   12705:       /*   /\*    if(stepm ==1){*\/ */
                   12706:       /*   /\*  anproj1, mproj1, jproj1 either read explicitly or yrfproj *\/ */
                   12707:       /*This done previously after freqsummary.*/
                   12708:       /*   dateprojd=(jproj1+12*mproj1+365*anproj1)/365; */
                   12709:       /*   dateprojf=(jproj2+12*mproj2+365*anproj2)/365; */
                   12710:       
                   12711:       /* } else if (prvforecast==2){ */
                   12712:       /*   /\*    if(stepm ==1){*\/ */
                   12713:       /*   /\*  anproj1, mproj1, jproj1 either read explicitly or yrfproj *\/ */
                   12714:       /* } */
                   12715:       /*prevforecast(fileresu, dateintmean, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, mobaverage, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);*/
                   12716:       prevforecast(fileresu,dateintmean, dateprojd, dateprojf, agemin, agemax, dateprev1, dateprev2, mobilavproj, mobaverage, bage, fage, firstpass, lastpass, p, cptcoveff);
1.126     brouard  12717:     }
1.269     brouard  12718: 
1.296     brouard  12719:     /* Prevbcasting */
                   12720:     if(prevbcast==1){
1.219     brouard  12721:       ddnewms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   12722:       ddoldms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   12723:       ddsavms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);
                   12724: 
                   12725:       /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
                   12726: 
                   12727:       bprlim=matrix(1,nlstate,1,nlstate);
1.269     brouard  12728: 
1.219     brouard  12729:       back_prevalence_limit(p, bprlim,  ageminpar, agemaxpar, ftolpl, &ncvyear, dateprev1, dateprev2, firstpass, lastpass, mobilavproj);
                   12730:       fclose(ficresplb);
                   12731: 
1.222     brouard  12732:       hBijx(p, bage, fage, mobaverage);
                   12733:       fclose(ficrespijb);
1.219     brouard  12734: 
1.296     brouard  12735:       /* /\* prevbackforecast(fileresu, mobaverage, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, *\/ */
                   12736:       /* /\*                  mobilavproj, bage, fage, firstpass, lastpass, anback2, p, cptcoveff); *\/ */
                   12737:       /* prevbackforecast(fileresu, mobaverage, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, */
                   12738:       /*                      mobilavproj, bage, fage, firstpass, lastpass, anback2, p, cptcoveff); */
                   12739:       prevbackforecast(fileresu, mobaverage, dateintmean, dateprojd, dateprojf, agemin, agemax, dateprev1, dateprev2,
                   12740:                       mobilavproj, bage, fage, firstpass, lastpass, p, cptcoveff);
                   12741: 
                   12742:       
1.269     brouard  12743:       varbprlim(fileresu, nresult, mobaverage, mobilavproj, bage, fage, bprlim, &ncvyear, ftolpl, p, matcov, delti, stepm, cptcoveff);
1.268     brouard  12744: 
                   12745:       
1.269     brouard  12746:       free_matrix(bprlim,1,nlstate,1,nlstate); /*here or after loop ? */
1.219     brouard  12747:       free_matrix(ddnewms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   12748:       free_matrix(ddsavms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   12749:       free_matrix(ddoldms, 1, nlstate+ndeath, 1, nlstate+ndeath);
1.296     brouard  12750:     }    /* end  Prevbcasting */
1.268     brouard  12751:  
1.186     brouard  12752:  
                   12753:     /* ------ Other prevalence ratios------------ */
1.126     brouard  12754: 
1.215     brouard  12755:     free_ivector(wav,1,imx);
                   12756:     free_imatrix(dh,1,lastpass-firstpass+2,1,imx);
                   12757:     free_imatrix(bh,1,lastpass-firstpass+2,1,imx);
                   12758:     free_imatrix(mw,1,lastpass-firstpass+2,1,imx);   
1.218     brouard  12759:                
                   12760:                
1.127     brouard  12761:     /*---------- Health expectancies, no variances ------------*/
1.218     brouard  12762:                
1.201     brouard  12763:     strcpy(filerese,"E_");
                   12764:     strcat(filerese,fileresu);
1.126     brouard  12765:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   12766:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   12767:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   12768:     }
1.208     brouard  12769:     printf("Computing Health Expectancies: result on file '%s' ...", filerese);fflush(stdout);
                   12770:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' ...", filerese);fflush(ficlog);
1.238     brouard  12771: 
                   12772:     pstamp(ficreseij);
1.219     brouard  12773:                
1.235     brouard  12774:     i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
                   12775:     if (cptcovn < 1){i1=1;}
                   12776:     
                   12777:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   12778:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  12779:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  12780:        continue;
1.219     brouard  12781:       fprintf(ficreseij,"\n#****** ");
1.235     brouard  12782:       printf("\n#****** ");
1.225     brouard  12783:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  12784:        fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  12785:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12786:       }
                   12787:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12788:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12789:        fprintf(ficreseij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
1.219     brouard  12790:       }
                   12791:       fprintf(ficreseij,"******\n");
1.235     brouard  12792:       printf("******\n");
1.219     brouard  12793:       
                   12794:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   12795:       oldm=oldms;savm=savms;
1.235     brouard  12796:       evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart, nres);  
1.127     brouard  12797:       
1.219     brouard  12798:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.127     brouard  12799:     }
                   12800:     fclose(ficreseij);
1.208     brouard  12801:     printf("done evsij\n");fflush(stdout);
                   12802:     fprintf(ficlog,"done evsij\n");fflush(ficlog);
1.269     brouard  12803: 
1.218     brouard  12804:                
1.227     brouard  12805:     /*---------- State-specific expectancies and variances ------------*/
1.218     brouard  12806:                
1.201     brouard  12807:     strcpy(filerest,"T_");
                   12808:     strcat(filerest,fileresu);
1.127     brouard  12809:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   12810:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   12811:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   12812:     }
1.208     brouard  12813:     printf("Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(stdout);
                   12814:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(ficlog);
1.201     brouard  12815:     strcpy(fileresstde,"STDE_");
                   12816:     strcat(fileresstde,fileresu);
1.126     brouard  12817:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
1.227     brouard  12818:       printf("Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   12819:       fprintf(ficlog,"Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
1.126     brouard  12820:     }
1.227     brouard  12821:     printf("  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   12822:     fprintf(ficlog,"  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
1.126     brouard  12823: 
1.201     brouard  12824:     strcpy(filerescve,"CVE_");
                   12825:     strcat(filerescve,fileresu);
1.126     brouard  12826:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
1.227     brouard  12827:       printf("Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
                   12828:       fprintf(ficlog,"Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
1.126     brouard  12829:     }
1.227     brouard  12830:     printf("    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
                   12831:     fprintf(ficlog,"    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
1.126     brouard  12832: 
1.201     brouard  12833:     strcpy(fileresv,"V_");
                   12834:     strcat(fileresv,fileresu);
1.126     brouard  12835:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   12836:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   12837:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   12838:     }
1.227     brouard  12839:     printf("      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(stdout);
                   12840:     fprintf(ficlog,"      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(ficlog);
1.126     brouard  12841: 
1.235     brouard  12842:     i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
                   12843:     if (cptcovn < 1){i1=1;}
                   12844:     
                   12845:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   12846:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  12847:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  12848:        continue;
1.242     brouard  12849:       printf("\n#****** Result for:");
                   12850:       fprintf(ficrest,"\n#****** Result for:");
                   12851:       fprintf(ficlog,"\n#****** Result for:");
1.227     brouard  12852:       for(j=1;j<=cptcoveff;j++){ 
                   12853:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12854:        fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12855:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12856:       }
1.235     brouard  12857:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12858:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12859:        fprintf(ficrest," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12860:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12861:       }        
1.208     brouard  12862:       fprintf(ficrest,"******\n");
1.227     brouard  12863:       fprintf(ficlog,"******\n");
                   12864:       printf("******\n");
1.208     brouard  12865:       
                   12866:       fprintf(ficresstdeij,"\n#****** ");
                   12867:       fprintf(ficrescveij,"\n#****** ");
1.225     brouard  12868:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  12869:        fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12870:        fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  12871:       }
1.235     brouard  12872:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12873:        fprintf(ficresstdeij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12874:        fprintf(ficrescveij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12875:       }        
1.208     brouard  12876:       fprintf(ficresstdeij,"******\n");
                   12877:       fprintf(ficrescveij,"******\n");
                   12878:       
                   12879:       fprintf(ficresvij,"\n#****** ");
1.238     brouard  12880:       /* pstamp(ficresvij); */
1.225     brouard  12881:       for(j=1;j<=cptcoveff;j++) 
1.227     brouard  12882:        fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  12883:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12884:        fprintf(ficresvij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12885:       }        
1.208     brouard  12886:       fprintf(ficresvij,"******\n");
                   12887:       
                   12888:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   12889:       oldm=oldms;savm=savms;
1.235     brouard  12890:       printf(" cvevsij ");
                   12891:       fprintf(ficlog, " cvevsij ");
                   12892:       cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart, nres);
1.208     brouard  12893:       printf(" end cvevsij \n ");
                   12894:       fprintf(ficlog, " end cvevsij \n ");
                   12895:       
                   12896:       /*
                   12897:        */
                   12898:       /* goto endfree; */
                   12899:       
                   12900:       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   12901:       pstamp(ficrest);
                   12902:       
1.269     brouard  12903:       epj=vector(1,nlstate+1);
1.208     brouard  12904:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.227     brouard  12905:        oldm=oldms;savm=savms; /* ZZ Segmentation fault */
                   12906:        cptcod= 0; /* To be deleted */
                   12907:        printf("varevsij vpopbased=%d \n",vpopbased);
                   12908:        fprintf(ficlog, "varevsij vpopbased=%d \n",vpopbased);
1.235     brouard  12909:        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  12910:        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 ");
                   12911:        if(vpopbased==1)
                   12912:          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);
                   12913:        else
1.288     brouard  12914:          fprintf(ficrest,"the age specific forward period (stable) prevalences in each health state \n");
1.227     brouard  12915:        fprintf(ficrest,"# Age popbased mobilav e.. (std) ");
                   12916:        for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
                   12917:        fprintf(ficrest,"\n");
                   12918:        /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
1.288     brouard  12919:        printf("Computing age specific forward period (stable) prevalences in each health state \n");
                   12920:        fprintf(ficlog,"Computing age specific forward period (stable) prevalences in each health state \n");
1.227     brouard  12921:        for(age=bage; age <=fage ;age++){
1.235     brouard  12922:          prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, &ncvyear, k, nres); /*ZZ Is it the correct prevalim */
1.227     brouard  12923:          if (vpopbased==1) {
                   12924:            if(mobilav ==0){
                   12925:              for(i=1; i<=nlstate;i++)
                   12926:                prlim[i][i]=probs[(int)age][i][k];
                   12927:            }else{ /* mobilav */ 
                   12928:              for(i=1; i<=nlstate;i++)
                   12929:                prlim[i][i]=mobaverage[(int)age][i][k];
                   12930:            }
                   12931:          }
1.219     brouard  12932:          
1.227     brouard  12933:          fprintf(ficrest," %4.0f %d %d",age, vpopbased, mobilav);
                   12934:          /* fprintf(ficrest," %4.0f %d %d %d %d",age, vpopbased, mobilav,Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */ /* to be done */
                   12935:          /* printf(" age %4.0f ",age); */
                   12936:          for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                   12937:            for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   12938:              epj[j] += prlim[i][i]*eij[i][j][(int)age];
                   12939:              /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   12940:              /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
                   12941:            }
                   12942:            epj[nlstate+1] +=epj[j];
                   12943:          }
                   12944:          /* printf(" age %4.0f \n",age); */
1.219     brouard  12945:          
1.227     brouard  12946:          for(i=1, vepp=0.;i <=nlstate;i++)
                   12947:            for(j=1;j <=nlstate;j++)
                   12948:              vepp += vareij[i][j][(int)age];
                   12949:          fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
                   12950:          for(j=1;j <=nlstate;j++){
                   12951:            fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
                   12952:          }
                   12953:          fprintf(ficrest,"\n");
                   12954:        }
1.208     brouard  12955:       } /* End vpopbased */
1.269     brouard  12956:       free_vector(epj,1,nlstate+1);
1.208     brouard  12957:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   12958:       free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.235     brouard  12959:       printf("done selection\n");fflush(stdout);
                   12960:       fprintf(ficlog,"done selection\n");fflush(ficlog);
1.208     brouard  12961:       
1.235     brouard  12962:     } /* End k selection */
1.227     brouard  12963: 
                   12964:     printf("done State-specific expectancies\n");fflush(stdout);
                   12965:     fprintf(ficlog,"done State-specific expectancies\n");fflush(ficlog);
                   12966: 
1.288     brouard  12967:     /* variance-covariance of forward period prevalence*/
1.269     brouard  12968:     varprlim(fileresu, nresult, mobaverage, mobilavproj, bage, fage, prlim, &ncvyear, ftolpl, p, matcov, delti, stepm, cptcoveff);
1.268     brouard  12969: 
1.227     brouard  12970:     
1.290     brouard  12971:     free_vector(weight,firstobs,lastobs);
1.227     brouard  12972:     free_imatrix(Tvard,1,NCOVMAX,1,2);
1.290     brouard  12973:     free_imatrix(s,1,maxwav+1,firstobs,lastobs);
                   12974:     free_matrix(anint,1,maxwav,firstobs,lastobs); 
                   12975:     free_matrix(mint,1,maxwav,firstobs,lastobs);
                   12976:     free_ivector(cod,firstobs,lastobs);
1.227     brouard  12977:     free_ivector(tab,1,NCOVMAX);
                   12978:     fclose(ficresstdeij);
                   12979:     fclose(ficrescveij);
                   12980:     fclose(ficresvij);
                   12981:     fclose(ficrest);
                   12982:     fclose(ficpar);
                   12983:     
                   12984:     
1.126     brouard  12985:     /*---------- End : free ----------------*/
1.219     brouard  12986:     if (mobilav!=0 ||mobilavproj !=0)
1.269     brouard  12987:       free_ma3x(mobaverages,AGEINF, AGESUP,1,nlstate+ndeath, 1,ncovcombmax); /* We need to have a squared matrix with prevalence of the dead! */
                   12988:     free_ma3x(probs,AGEINF,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.220     brouard  12989:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
                   12990:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
1.126     brouard  12991:   }  /* mle==-3 arrives here for freeing */
1.227     brouard  12992:   /* endfree:*/
                   12993:   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   12994:   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   12995:   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
1.290     brouard  12996:   if(ntv+nqtv>=1)free_ma3x(cotvar,1,maxwav,1,ntv+nqtv,firstobs,lastobs);
                   12997:   if(nqtv>=1)free_ma3x(cotqvar,1,maxwav,1,nqtv,firstobs,lastobs);
                   12998:   if(nqv>=1)free_matrix(coqvar,1,nqv,firstobs,lastobs);
                   12999:   free_matrix(covar,0,NCOVMAX,firstobs,lastobs);
1.227     brouard  13000:   free_matrix(matcov,1,npar,1,npar);
                   13001:   free_matrix(hess,1,npar,1,npar);
                   13002:   /*free_vector(delti,1,npar);*/
                   13003:   free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   13004:   free_matrix(agev,1,maxwav,1,imx);
1.269     brouard  13005:   free_ma3x(paramstart,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
1.227     brouard  13006:   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   13007:   
                   13008:   free_ivector(ncodemax,1,NCOVMAX);
                   13009:   free_ivector(ncodemaxwundef,1,NCOVMAX);
                   13010:   free_ivector(Dummy,-1,NCOVMAX);
                   13011:   free_ivector(Fixed,-1,NCOVMAX);
1.238     brouard  13012:   free_ivector(DummyV,1,NCOVMAX);
                   13013:   free_ivector(FixedV,1,NCOVMAX);
1.227     brouard  13014:   free_ivector(Typevar,-1,NCOVMAX);
                   13015:   free_ivector(Tvar,1,NCOVMAX);
1.234     brouard  13016:   free_ivector(TvarsQ,1,NCOVMAX);
                   13017:   free_ivector(TvarsQind,1,NCOVMAX);
                   13018:   free_ivector(TvarsD,1,NCOVMAX);
                   13019:   free_ivector(TvarsDind,1,NCOVMAX);
1.231     brouard  13020:   free_ivector(TvarFD,1,NCOVMAX);
                   13021:   free_ivector(TvarFDind,1,NCOVMAX);
1.232     brouard  13022:   free_ivector(TvarF,1,NCOVMAX);
                   13023:   free_ivector(TvarFind,1,NCOVMAX);
                   13024:   free_ivector(TvarV,1,NCOVMAX);
                   13025:   free_ivector(TvarVind,1,NCOVMAX);
                   13026:   free_ivector(TvarA,1,NCOVMAX);
                   13027:   free_ivector(TvarAind,1,NCOVMAX);
1.231     brouard  13028:   free_ivector(TvarFQ,1,NCOVMAX);
                   13029:   free_ivector(TvarFQind,1,NCOVMAX);
                   13030:   free_ivector(TvarVD,1,NCOVMAX);
                   13031:   free_ivector(TvarVDind,1,NCOVMAX);
                   13032:   free_ivector(TvarVQ,1,NCOVMAX);
                   13033:   free_ivector(TvarVQind,1,NCOVMAX);
1.230     brouard  13034:   free_ivector(Tvarsel,1,NCOVMAX);
                   13035:   free_vector(Tvalsel,1,NCOVMAX);
1.227     brouard  13036:   free_ivector(Tposprod,1,NCOVMAX);
                   13037:   free_ivector(Tprod,1,NCOVMAX);
                   13038:   free_ivector(Tvaraff,1,NCOVMAX);
                   13039:   free_ivector(invalidvarcomb,1,ncovcombmax);
                   13040:   free_ivector(Tage,1,NCOVMAX);
                   13041:   free_ivector(Tmodelind,1,NCOVMAX);
1.228     brouard  13042:   free_ivector(TmodelInvind,1,NCOVMAX);
                   13043:   free_ivector(TmodelInvQind,1,NCOVMAX);
1.227     brouard  13044:   
                   13045:   free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
                   13046:   /* free_imatrix(codtab,1,100,1,10); */
1.126     brouard  13047:   fflush(fichtm);
                   13048:   fflush(ficgp);
                   13049:   
1.227     brouard  13050:   
1.126     brouard  13051:   if((nberr >0) || (nbwarn>0)){
1.216     brouard  13052:     printf("End of Imach with %d errors and/or %d warnings. Please look at the log file for details.\n",nberr,nbwarn);
                   13053:     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  13054:   }else{
                   13055:     printf("End of Imach\n");
                   13056:     fprintf(ficlog,"End of Imach\n");
                   13057:   }
                   13058:   printf("See log file on %s\n",filelog);
                   13059:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  13060:   /*(void) gettimeofday(&end_time,&tzp);*/
                   13061:   rend_time = time(NULL);  
                   13062:   end_time = *localtime(&rend_time);
                   13063:   /* tml = *localtime(&end_time.tm_sec); */
                   13064:   strcpy(strtend,asctime(&end_time));
1.126     brouard  13065:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   13066:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  13067:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.227     brouard  13068:   
1.157     brouard  13069:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   13070:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   13071:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  13072:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   13073: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   13074:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   13075:   fclose(fichtm);
                   13076:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   13077:   fclose(fichtmcov);
                   13078:   fclose(ficgp);
                   13079:   fclose(ficlog);
                   13080:   /*------ End -----------*/
1.227     brouard  13081:   
1.281     brouard  13082: 
                   13083: /* Executes gnuplot */
1.227     brouard  13084:   
                   13085:   printf("Before Current directory %s!\n",pathcd);
1.184     brouard  13086: #ifdef WIN32
1.227     brouard  13087:   if (_chdir(pathcd) != 0)
                   13088:     printf("Can't move to directory %s!\n",path);
                   13089:   if(_getcwd(pathcd,MAXLINE) > 0)
1.184     brouard  13090: #else
1.227     brouard  13091:     if(chdir(pathcd) != 0)
                   13092:       printf("Can't move to directory %s!\n", path);
                   13093:   if (getcwd(pathcd, MAXLINE) > 0)
1.184     brouard  13094: #endif 
1.126     brouard  13095:     printf("Current directory %s!\n",pathcd);
                   13096:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   13097:   sprintf(plotcmd,"gnuplot");
1.157     brouard  13098: #ifdef _WIN32
1.126     brouard  13099:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   13100: #endif
                   13101:   if(!stat(plotcmd,&info)){
1.158     brouard  13102:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  13103:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  13104:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  13105:     }else
                   13106:       strcpy(pplotcmd,plotcmd);
1.157     brouard  13107: #ifdef __unix
1.126     brouard  13108:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   13109:     if(!stat(plotcmd,&info)){
1.158     brouard  13110:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  13111:     }else
                   13112:       strcpy(pplotcmd,plotcmd);
                   13113: #endif
                   13114:   }else
                   13115:     strcpy(pplotcmd,plotcmd);
                   13116:   
                   13117:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  13118:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.292     brouard  13119:   strcpy(pplotcmd,plotcmd);
1.227     brouard  13120:   
1.126     brouard  13121:   if((outcmd=system(plotcmd)) != 0){
1.292     brouard  13122:     printf("Error in gnuplot, command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  13123:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  13124:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.292     brouard  13125:     if((outcmd=system(plotcmd)) != 0){
1.153     brouard  13126:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.292     brouard  13127:       strcpy(plotcmd,pplotcmd);
                   13128:     }
1.126     brouard  13129:   }
1.158     brouard  13130:   printf(" Successful, please wait...");
1.126     brouard  13131:   while (z[0] != 'q') {
                   13132:     /* chdir(path); */
1.154     brouard  13133:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  13134:     scanf("%s",z);
                   13135: /*     if (z[0] == 'c') system("./imach"); */
                   13136:     if (z[0] == 'e') {
1.158     brouard  13137: #ifdef __APPLE__
1.152     brouard  13138:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  13139: #elif __linux
                   13140:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  13141: #else
1.152     brouard  13142:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  13143: #endif
                   13144:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   13145:       system(pplotcmd);
1.126     brouard  13146:     }
                   13147:     else if (z[0] == 'g') system(plotcmd);
                   13148:     else if (z[0] == 'q') exit(0);
                   13149:   }
1.227     brouard  13150: end:
1.126     brouard  13151:   while (z[0] != 'q') {
1.195     brouard  13152:     printf("\nType  q for exiting: "); fflush(stdout);
1.126     brouard  13153:     scanf("%s",z);
                   13154:   }
1.283     brouard  13155:   printf("End\n");
1.282     brouard  13156:   exit(0);
1.126     brouard  13157: }

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