Annotation of imach/src/imach.c, revision 1.301

1.301   ! brouard     1: /* $Id: imach.c,v 1.300 2019/05/22 19:09:45 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.301   ! brouard     4:   Revision 1.300  2019/05/22 19:09:45  brouard
        !             5:   Summary: version 0.99r19 of May 2019
        !             6: 
1.300     brouard     7:   Revision 1.299  2019/05/22 18:37:08  brouard
                      8:   Summary: Cleaned 0.99r19
                      9: 
1.299     brouard    10:   Revision 1.298  2019/05/22 18:19:56  brouard
                     11:   *** empty log message ***
                     12: 
1.298     brouard    13:   Revision 1.297  2019/05/22 17:56:10  brouard
                     14:   Summary: Fix bug by moving date2dmy and nhstepm which gaefin=-1
                     15: 
1.297     brouard    16:   Revision 1.296  2019/05/20 13:03:18  brouard
                     17:   Summary: Projection syntax simplified
                     18: 
                     19: 
                     20:   We can now start projections, forward or backward, from the mean date
                     21:   of inteviews up to or down to a number of years of projection:
                     22:   prevforecast=1 yearsfproj=15.3 mobil_average=0
                     23:   or
                     24:   prevforecast=1 starting-proj-date=1/1/2007 final-proj-date=12/31/2017 mobil_average=0
                     25:   or
                     26:   prevbackcast=1 yearsbproj=12.3 mobil_average=1
                     27:   or
                     28:   prevbackcast=1 starting-back-date=1/10/1999 final-back-date=1/1/1985 mobil_average=1
                     29: 
1.296     brouard    30:   Revision 1.295  2019/05/18 09:52:50  brouard
                     31:   Summary: doxygen tex bug
                     32: 
1.295     brouard    33:   Revision 1.294  2019/05/16 14:54:33  brouard
                     34:   Summary: There was some wrong lines added
                     35: 
1.294     brouard    36:   Revision 1.293  2019/05/09 15:17:34  brouard
                     37:   *** empty log message ***
                     38: 
1.293     brouard    39:   Revision 1.292  2019/05/09 14:17:20  brouard
                     40:   Summary: Some updates
                     41: 
1.292     brouard    42:   Revision 1.291  2019/05/09 13:44:18  brouard
                     43:   Summary: Before ncovmax
                     44: 
1.291     brouard    45:   Revision 1.290  2019/05/09 13:39:37  brouard
                     46:   Summary: 0.99r18 unlimited number of individuals
                     47: 
                     48:   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.
                     49: 
1.290     brouard    50:   Revision 1.289  2018/12/13 09:16:26  brouard
                     51:   Summary: Bug for young ages (<-30) will be in r17
                     52: 
1.289     brouard    53:   Revision 1.288  2018/05/02 20:58:27  brouard
                     54:   Summary: Some bugs fixed
                     55: 
1.288     brouard    56:   Revision 1.287  2018/05/01 17:57:25  brouard
                     57:   Summary: Bug fixed by providing frequencies only for non missing covariates
                     58: 
1.287     brouard    59:   Revision 1.286  2018/04/27 14:27:04  brouard
                     60:   Summary: some minor bugs
                     61: 
1.286     brouard    62:   Revision 1.285  2018/04/21 21:02:16  brouard
                     63:   Summary: Some bugs fixed, valgrind tested
                     64: 
1.285     brouard    65:   Revision 1.284  2018/04/20 05:22:13  brouard
                     66:   Summary: Computing mean and stdeviation of fixed quantitative variables
                     67: 
1.284     brouard    68:   Revision 1.283  2018/04/19 14:49:16  brouard
                     69:   Summary: Some minor bugs fixed
                     70: 
1.283     brouard    71:   Revision 1.282  2018/02/27 22:50:02  brouard
                     72:   *** empty log message ***
                     73: 
1.282     brouard    74:   Revision 1.281  2018/02/27 19:25:23  brouard
                     75:   Summary: Adding second argument for quitting
                     76: 
1.281     brouard    77:   Revision 1.280  2018/02/21 07:58:13  brouard
                     78:   Summary: 0.99r15
                     79: 
                     80:   New Makefile with recent VirtualBox 5.26. Bug in sqrt negatve in imach.c
                     81: 
1.280     brouard    82:   Revision 1.279  2017/07/20 13:35:01  brouard
                     83:   Summary: temporary working
                     84: 
1.279     brouard    85:   Revision 1.278  2017/07/19 14:09:02  brouard
                     86:   Summary: Bug for mobil_average=0 and prevforecast fixed(?)
                     87: 
1.278     brouard    88:   Revision 1.277  2017/07/17 08:53:49  brouard
                     89:   Summary: BOM files can be read now
                     90: 
1.277     brouard    91:   Revision 1.276  2017/06/30 15:48:31  brouard
                     92:   Summary: Graphs improvements
                     93: 
1.276     brouard    94:   Revision 1.275  2017/06/30 13:39:33  brouard
                     95:   Summary: Saito's color
                     96: 
1.275     brouard    97:   Revision 1.274  2017/06/29 09:47:08  brouard
                     98:   Summary: Version 0.99r14
                     99: 
1.274     brouard   100:   Revision 1.273  2017/06/27 11:06:02  brouard
                    101:   Summary: More documentation on projections
                    102: 
1.273     brouard   103:   Revision 1.272  2017/06/27 10:22:40  brouard
                    104:   Summary: Color of backprojection changed from 6 to 5(yellow)
                    105: 
1.272     brouard   106:   Revision 1.271  2017/06/27 10:17:50  brouard
                    107:   Summary: Some bug with rint
                    108: 
1.271     brouard   109:   Revision 1.270  2017/05/24 05:45:29  brouard
                    110:   *** empty log message ***
                    111: 
1.270     brouard   112:   Revision 1.269  2017/05/23 08:39:25  brouard
                    113:   Summary: Code into subroutine, cleanings
                    114: 
1.269     brouard   115:   Revision 1.268  2017/05/18 20:09:32  brouard
                    116:   Summary: backprojection and confidence intervals of backprevalence
                    117: 
1.268     brouard   118:   Revision 1.267  2017/05/13 10:25:05  brouard
                    119:   Summary: temporary save for backprojection
                    120: 
1.267     brouard   121:   Revision 1.266  2017/05/13 07:26:12  brouard
                    122:   Summary: Version 0.99r13 (improvements and bugs fixed)
                    123: 
1.266     brouard   124:   Revision 1.265  2017/04/26 16:22:11  brouard
                    125:   Summary: imach 0.99r13 Some bugs fixed
                    126: 
1.265     brouard   127:   Revision 1.264  2017/04/26 06:01:29  brouard
                    128:   Summary: Labels in graphs
                    129: 
1.264     brouard   130:   Revision 1.263  2017/04/24 15:23:15  brouard
                    131:   Summary: to save
                    132: 
1.263     brouard   133:   Revision 1.262  2017/04/18 16:48:12  brouard
                    134:   *** empty log message ***
                    135: 
1.262     brouard   136:   Revision 1.261  2017/04/05 10:14:09  brouard
                    137:   Summary: Bug in E_ as well as in T_ fixed nres-1 vs k1-1
                    138: 
1.261     brouard   139:   Revision 1.260  2017/04/04 17:46:59  brouard
                    140:   Summary: Gnuplot indexations fixed (humm)
                    141: 
1.260     brouard   142:   Revision 1.259  2017/04/04 13:01:16  brouard
                    143:   Summary: Some errors to warnings only if date of death is unknown but status is death we could set to pi3
                    144: 
1.259     brouard   145:   Revision 1.258  2017/04/03 10:17:47  brouard
                    146:   Summary: Version 0.99r12
                    147: 
                    148:   Some cleanings, conformed with updated documentation.
                    149: 
1.258     brouard   150:   Revision 1.257  2017/03/29 16:53:30  brouard
                    151:   Summary: Temp
                    152: 
1.257     brouard   153:   Revision 1.256  2017/03/27 05:50:23  brouard
                    154:   Summary: Temporary
                    155: 
1.256     brouard   156:   Revision 1.255  2017/03/08 16:02:28  brouard
                    157:   Summary: IMaCh version 0.99r10 bugs in gnuplot fixed
                    158: 
1.255     brouard   159:   Revision 1.254  2017/03/08 07:13:00  brouard
                    160:   Summary: Fixing data parameter line
                    161: 
1.254     brouard   162:   Revision 1.253  2016/12/15 11:59:41  brouard
                    163:   Summary: 0.99 in progress
                    164: 
1.253     brouard   165:   Revision 1.252  2016/09/15 21:15:37  brouard
                    166:   *** empty log message ***
                    167: 
1.252     brouard   168:   Revision 1.251  2016/09/15 15:01:13  brouard
                    169:   Summary: not working
                    170: 
1.251     brouard   171:   Revision 1.250  2016/09/08 16:07:27  brouard
                    172:   Summary: continue
                    173: 
1.250     brouard   174:   Revision 1.249  2016/09/07 17:14:18  brouard
                    175:   Summary: Starting values from frequencies
                    176: 
1.249     brouard   177:   Revision 1.248  2016/09/07 14:10:18  brouard
                    178:   *** empty log message ***
                    179: 
1.248     brouard   180:   Revision 1.247  2016/09/02 11:11:21  brouard
                    181:   *** empty log message ***
                    182: 
1.247     brouard   183:   Revision 1.246  2016/09/02 08:49:22  brouard
                    184:   *** empty log message ***
                    185: 
1.246     brouard   186:   Revision 1.245  2016/09/02 07:25:01  brouard
                    187:   *** empty log message ***
                    188: 
1.245     brouard   189:   Revision 1.244  2016/09/02 07:17:34  brouard
                    190:   *** empty log message ***
                    191: 
1.244     brouard   192:   Revision 1.243  2016/09/02 06:45:35  brouard
                    193:   *** empty log message ***
                    194: 
1.243     brouard   195:   Revision 1.242  2016/08/30 15:01:20  brouard
                    196:   Summary: Fixing a lots
                    197: 
1.242     brouard   198:   Revision 1.241  2016/08/29 17:17:25  brouard
                    199:   Summary: gnuplot problem in Back projection to fix
                    200: 
1.241     brouard   201:   Revision 1.240  2016/08/29 07:53:18  brouard
                    202:   Summary: Better
                    203: 
1.240     brouard   204:   Revision 1.239  2016/08/26 15:51:03  brouard
                    205:   Summary: Improvement in Powell output in order to copy and paste
                    206: 
                    207:   Author:
                    208: 
1.239     brouard   209:   Revision 1.238  2016/08/26 14:23:35  brouard
                    210:   Summary: Starting tests of 0.99
                    211: 
1.238     brouard   212:   Revision 1.237  2016/08/26 09:20:19  brouard
                    213:   Summary: to valgrind
                    214: 
1.237     brouard   215:   Revision 1.236  2016/08/25 10:50:18  brouard
                    216:   *** empty log message ***
                    217: 
1.236     brouard   218:   Revision 1.235  2016/08/25 06:59:23  brouard
                    219:   *** empty log message ***
                    220: 
1.235     brouard   221:   Revision 1.234  2016/08/23 16:51:20  brouard
                    222:   *** empty log message ***
                    223: 
1.234     brouard   224:   Revision 1.233  2016/08/23 07:40:50  brouard
                    225:   Summary: not working
                    226: 
1.233     brouard   227:   Revision 1.232  2016/08/22 14:20:21  brouard
                    228:   Summary: not working
                    229: 
1.232     brouard   230:   Revision 1.231  2016/08/22 07:17:15  brouard
                    231:   Summary: not working
                    232: 
1.231     brouard   233:   Revision 1.230  2016/08/22 06:55:53  brouard
                    234:   Summary: Not working
                    235: 
1.230     brouard   236:   Revision 1.229  2016/07/23 09:45:53  brouard
                    237:   Summary: Completing for func too
                    238: 
1.229     brouard   239:   Revision 1.228  2016/07/22 17:45:30  brouard
                    240:   Summary: Fixing some arrays, still debugging
                    241: 
1.227     brouard   242:   Revision 1.226  2016/07/12 18:42:34  brouard
                    243:   Summary: temp
                    244: 
1.226     brouard   245:   Revision 1.225  2016/07/12 08:40:03  brouard
                    246:   Summary: saving but not running
                    247: 
1.225     brouard   248:   Revision 1.224  2016/07/01 13:16:01  brouard
                    249:   Summary: Fixes
                    250: 
1.224     brouard   251:   Revision 1.223  2016/02/19 09:23:35  brouard
                    252:   Summary: temporary
                    253: 
1.223     brouard   254:   Revision 1.222  2016/02/17 08:14:50  brouard
                    255:   Summary: Probably last 0.98 stable version 0.98r6
                    256: 
1.222     brouard   257:   Revision 1.221  2016/02/15 23:35:36  brouard
                    258:   Summary: minor bug
                    259: 
1.220     brouard   260:   Revision 1.219  2016/02/15 00:48:12  brouard
                    261:   *** empty log message ***
                    262: 
1.219     brouard   263:   Revision 1.218  2016/02/12 11:29:23  brouard
                    264:   Summary: 0.99 Back projections
                    265: 
1.218     brouard   266:   Revision 1.217  2015/12/23 17:18:31  brouard
                    267:   Summary: Experimental backcast
                    268: 
1.217     brouard   269:   Revision 1.216  2015/12/18 17:32:11  brouard
                    270:   Summary: 0.98r4 Warning and status=-2
                    271: 
                    272:   Version 0.98r4 is now:
                    273:    - displaying an error when status is -1, date of interview unknown and date of death known;
                    274:    - permitting a status -2 when the vital status is unknown at a known date of right truncation.
                    275:   Older changes concerning s=-2, dating from 2005 have been supersed.
                    276: 
1.216     brouard   277:   Revision 1.215  2015/12/16 08:52:24  brouard
                    278:   Summary: 0.98r4 working
                    279: 
1.215     brouard   280:   Revision 1.214  2015/12/16 06:57:54  brouard
                    281:   Summary: temporary not working
                    282: 
1.214     brouard   283:   Revision 1.213  2015/12/11 18:22:17  brouard
                    284:   Summary: 0.98r4
                    285: 
1.213     brouard   286:   Revision 1.212  2015/11/21 12:47:24  brouard
                    287:   Summary: minor typo
                    288: 
1.212     brouard   289:   Revision 1.211  2015/11/21 12:41:11  brouard
                    290:   Summary: 0.98r3 with some graph of projected cross-sectional
                    291: 
                    292:   Author: Nicolas Brouard
                    293: 
1.211     brouard   294:   Revision 1.210  2015/11/18 17:41:20  brouard
1.252     brouard   295:   Summary: Start working on projected prevalences  Revision 1.209  2015/11/17 22:12:03  brouard
1.210     brouard   296:   Summary: Adding ftolpl parameter
                    297:   Author: N Brouard
                    298: 
                    299:   We had difficulties to get smoothed confidence intervals. It was due
                    300:   to the period prevalence which wasn't computed accurately. The inner
                    301:   parameter ftolpl is now an outer parameter of the .imach parameter
                    302:   file after estepm. If ftolpl is small 1.e-4 and estepm too,
                    303:   computation are long.
                    304: 
1.209     brouard   305:   Revision 1.208  2015/11/17 14:31:57  brouard
                    306:   Summary: temporary
                    307: 
1.208     brouard   308:   Revision 1.207  2015/10/27 17:36:57  brouard
                    309:   *** empty log message ***
                    310: 
1.207     brouard   311:   Revision 1.206  2015/10/24 07:14:11  brouard
                    312:   *** empty log message ***
                    313: 
1.206     brouard   314:   Revision 1.205  2015/10/23 15:50:53  brouard
                    315:   Summary: 0.98r3 some clarification for graphs on likelihood contributions
                    316: 
1.205     brouard   317:   Revision 1.204  2015/10/01 16:20:26  brouard
                    318:   Summary: Some new graphs of contribution to likelihood
                    319: 
1.204     brouard   320:   Revision 1.203  2015/09/30 17:45:14  brouard
                    321:   Summary: looking at better estimation of the hessian
                    322: 
                    323:   Also a better criteria for convergence to the period prevalence And
                    324:   therefore adding the number of years needed to converge. (The
                    325:   prevalence in any alive state shold sum to one
                    326: 
1.203     brouard   327:   Revision 1.202  2015/09/22 19:45:16  brouard
                    328:   Summary: Adding some overall graph on contribution to likelihood. Might change
                    329: 
1.202     brouard   330:   Revision 1.201  2015/09/15 17:34:58  brouard
                    331:   Summary: 0.98r0
                    332: 
                    333:   - Some new graphs like suvival functions
                    334:   - Some bugs fixed like model=1+age+V2.
                    335: 
1.201     brouard   336:   Revision 1.200  2015/09/09 16:53:55  brouard
                    337:   Summary: Big bug thanks to Flavia
                    338: 
                    339:   Even model=1+age+V2. did not work anymore
                    340: 
1.200     brouard   341:   Revision 1.199  2015/09/07 14:09:23  brouard
                    342:   Summary: 0.98q6 changing default small png format for graph to vectorized svg.
                    343: 
1.199     brouard   344:   Revision 1.198  2015/09/03 07:14:39  brouard
                    345:   Summary: 0.98q5 Flavia
                    346: 
1.198     brouard   347:   Revision 1.197  2015/09/01 18:24:39  brouard
                    348:   *** empty log message ***
                    349: 
1.197     brouard   350:   Revision 1.196  2015/08/18 23:17:52  brouard
                    351:   Summary: 0.98q5
                    352: 
1.196     brouard   353:   Revision 1.195  2015/08/18 16:28:39  brouard
                    354:   Summary: Adding a hack for testing purpose
                    355: 
                    356:   After reading the title, ftol and model lines, if the comment line has
                    357:   a q, starting with #q, the answer at the end of the run is quit. It
                    358:   permits to run test files in batch with ctest. The former workaround was
                    359:   $ echo q | imach foo.imach
                    360: 
1.195     brouard   361:   Revision 1.194  2015/08/18 13:32:00  brouard
                    362:   Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
                    363: 
1.194     brouard   364:   Revision 1.193  2015/08/04 07:17:42  brouard
                    365:   Summary: 0.98q4
                    366: 
1.193     brouard   367:   Revision 1.192  2015/07/16 16:49:02  brouard
                    368:   Summary: Fixing some outputs
                    369: 
1.192     brouard   370:   Revision 1.191  2015/07/14 10:00:33  brouard
                    371:   Summary: Some fixes
                    372: 
1.191     brouard   373:   Revision 1.190  2015/05/05 08:51:13  brouard
                    374:   Summary: Adding digits in output parameters (7 digits instead of 6)
                    375: 
                    376:   Fix 1+age+.
                    377: 
1.190     brouard   378:   Revision 1.189  2015/04/30 14:45:16  brouard
                    379:   Summary: 0.98q2
                    380: 
1.189     brouard   381:   Revision 1.188  2015/04/30 08:27:53  brouard
                    382:   *** empty log message ***
                    383: 
1.188     brouard   384:   Revision 1.187  2015/04/29 09:11:15  brouard
                    385:   *** empty log message ***
                    386: 
1.187     brouard   387:   Revision 1.186  2015/04/23 12:01:52  brouard
                    388:   Summary: V1*age is working now, version 0.98q1
                    389: 
                    390:   Some codes had been disabled in order to simplify and Vn*age was
                    391:   working in the optimization phase, ie, giving correct MLE parameters,
                    392:   but, as usual, outputs were not correct and program core dumped.
                    393: 
1.186     brouard   394:   Revision 1.185  2015/03/11 13:26:42  brouard
                    395:   Summary: Inclusion of compile and links command line for Intel Compiler
                    396: 
1.185     brouard   397:   Revision 1.184  2015/03/11 11:52:39  brouard
                    398:   Summary: Back from Windows 8. Intel Compiler
                    399: 
1.184     brouard   400:   Revision 1.183  2015/03/10 20:34:32  brouard
                    401:   Summary: 0.98q0, trying with directest, mnbrak fixed
                    402: 
                    403:   We use directest instead of original Powell test; probably no
                    404:   incidence on the results, but better justifications;
                    405:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                    406:   wrong results.
                    407: 
1.183     brouard   408:   Revision 1.182  2015/02/12 08:19:57  brouard
                    409:   Summary: Trying to keep directest which seems simpler and more general
                    410:   Author: Nicolas Brouard
                    411: 
1.182     brouard   412:   Revision 1.181  2015/02/11 23:22:24  brouard
                    413:   Summary: Comments on Powell added
                    414: 
                    415:   Author:
                    416: 
1.181     brouard   417:   Revision 1.180  2015/02/11 17:33:45  brouard
                    418:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                    419: 
1.180     brouard   420:   Revision 1.179  2015/01/04 09:57:06  brouard
                    421:   Summary: back to OS/X
                    422: 
1.179     brouard   423:   Revision 1.178  2015/01/04 09:35:48  brouard
                    424:   *** empty log message ***
                    425: 
1.178     brouard   426:   Revision 1.177  2015/01/03 18:40:56  brouard
                    427:   Summary: Still testing ilc32 on OSX
                    428: 
1.177     brouard   429:   Revision 1.176  2015/01/03 16:45:04  brouard
                    430:   *** empty log message ***
                    431: 
1.176     brouard   432:   Revision 1.175  2015/01/03 16:33:42  brouard
                    433:   *** empty log message ***
                    434: 
1.175     brouard   435:   Revision 1.174  2015/01/03 16:15:49  brouard
                    436:   Summary: Still in cross-compilation
                    437: 
1.174     brouard   438:   Revision 1.173  2015/01/03 12:06:26  brouard
                    439:   Summary: trying to detect cross-compilation
                    440: 
1.173     brouard   441:   Revision 1.172  2014/12/27 12:07:47  brouard
                    442:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                    443: 
1.172     brouard   444:   Revision 1.171  2014/12/23 13:26:59  brouard
                    445:   Summary: Back from Visual C
                    446: 
                    447:   Still problem with utsname.h on Windows
                    448: 
1.171     brouard   449:   Revision 1.170  2014/12/23 11:17:12  brouard
                    450:   Summary: Cleaning some \%% back to %%
                    451: 
                    452:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                    453: 
1.170     brouard   454:   Revision 1.169  2014/12/22 23:08:31  brouard
                    455:   Summary: 0.98p
                    456: 
                    457:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                    458: 
1.169     brouard   459:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard   460:   Summary: update
1.169     brouard   461: 
1.168     brouard   462:   Revision 1.167  2014/12/22 13:50:56  brouard
                    463:   Summary: Testing uname and compiler version and if compiled 32 or 64
                    464: 
                    465:   Testing on Linux 64
                    466: 
1.167     brouard   467:   Revision 1.166  2014/12/22 11:40:47  brouard
                    468:   *** empty log message ***
                    469: 
1.166     brouard   470:   Revision 1.165  2014/12/16 11:20:36  brouard
                    471:   Summary: After compiling on Visual C
                    472: 
                    473:   * imach.c (Module): Merging 1.61 to 1.162
                    474: 
1.165     brouard   475:   Revision 1.164  2014/12/16 10:52:11  brouard
                    476:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    477: 
                    478:   * imach.c (Module): Merging 1.61 to 1.162
                    479: 
1.164     brouard   480:   Revision 1.163  2014/12/16 10:30:11  brouard
                    481:   * imach.c (Module): Merging 1.61 to 1.162
                    482: 
1.163     brouard   483:   Revision 1.162  2014/09/25 11:43:39  brouard
                    484:   Summary: temporary backup 0.99!
                    485: 
1.162     brouard   486:   Revision 1.1  2014/09/16 11:06:58  brouard
                    487:   Summary: With some code (wrong) for nlopt
                    488: 
                    489:   Author:
                    490: 
                    491:   Revision 1.161  2014/09/15 20:41:41  brouard
                    492:   Summary: Problem with macro SQR on Intel compiler
                    493: 
1.161     brouard   494:   Revision 1.160  2014/09/02 09:24:05  brouard
                    495:   *** empty log message ***
                    496: 
1.160     brouard   497:   Revision 1.159  2014/09/01 10:34:10  brouard
                    498:   Summary: WIN32
                    499:   Author: Brouard
                    500: 
1.159     brouard   501:   Revision 1.158  2014/08/27 17:11:51  brouard
                    502:   *** empty log message ***
                    503: 
1.158     brouard   504:   Revision 1.157  2014/08/27 16:26:55  brouard
                    505:   Summary: Preparing windows Visual studio version
                    506:   Author: Brouard
                    507: 
                    508:   In order to compile on Visual studio, time.h is now correct and time_t
                    509:   and tm struct should be used. difftime should be used but sometimes I
                    510:   just make the differences in raw time format (time(&now).
                    511:   Trying to suppress #ifdef LINUX
                    512:   Add xdg-open for __linux in order to open default browser.
                    513: 
1.157     brouard   514:   Revision 1.156  2014/08/25 20:10:10  brouard
                    515:   *** empty log message ***
                    516: 
1.156     brouard   517:   Revision 1.155  2014/08/25 18:32:34  brouard
                    518:   Summary: New compile, minor changes
                    519:   Author: Brouard
                    520: 
1.155     brouard   521:   Revision 1.154  2014/06/20 17:32:08  brouard
                    522:   Summary: Outputs now all graphs of convergence to period prevalence
                    523: 
1.154     brouard   524:   Revision 1.153  2014/06/20 16:45:46  brouard
                    525:   Summary: If 3 live state, convergence to period prevalence on same graph
                    526:   Author: Brouard
                    527: 
1.153     brouard   528:   Revision 1.152  2014/06/18 17:54:09  brouard
                    529:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    530: 
1.152     brouard   531:   Revision 1.151  2014/06/18 16:43:30  brouard
                    532:   *** empty log message ***
                    533: 
1.151     brouard   534:   Revision 1.150  2014/06/18 16:42:35  brouard
                    535:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    536:   Author: brouard
                    537: 
1.150     brouard   538:   Revision 1.149  2014/06/18 15:51:14  brouard
                    539:   Summary: Some fixes in parameter files errors
                    540:   Author: Nicolas Brouard
                    541: 
1.149     brouard   542:   Revision 1.148  2014/06/17 17:38:48  brouard
                    543:   Summary: Nothing new
                    544:   Author: Brouard
                    545: 
                    546:   Just a new packaging for OS/X version 0.98nS
                    547: 
1.148     brouard   548:   Revision 1.147  2014/06/16 10:33:11  brouard
                    549:   *** empty log message ***
                    550: 
1.147     brouard   551:   Revision 1.146  2014/06/16 10:20:28  brouard
                    552:   Summary: Merge
                    553:   Author: Brouard
                    554: 
                    555:   Merge, before building revised version.
                    556: 
1.146     brouard   557:   Revision 1.145  2014/06/10 21:23:15  brouard
                    558:   Summary: Debugging with valgrind
                    559:   Author: Nicolas Brouard
                    560: 
                    561:   Lot of changes in order to output the results with some covariates
                    562:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    563:   improve the code.
                    564:   No more memory valgrind error but a lot has to be done in order to
                    565:   continue the work of splitting the code into subroutines.
                    566:   Also, decodemodel has been improved. Tricode is still not
                    567:   optimal. nbcode should be improved. Documentation has been added in
                    568:   the source code.
                    569: 
1.144     brouard   570:   Revision 1.143  2014/01/26 09:45:38  brouard
                    571:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    572: 
                    573:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    574:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    575: 
1.143     brouard   576:   Revision 1.142  2014/01/26 03:57:36  brouard
                    577:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    578: 
                    579:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    580: 
1.142     brouard   581:   Revision 1.141  2014/01/26 02:42:01  brouard
                    582:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    583: 
1.141     brouard   584:   Revision 1.140  2011/09/02 10:37:54  brouard
                    585:   Summary: times.h is ok with mingw32 now.
                    586: 
1.140     brouard   587:   Revision 1.139  2010/06/14 07:50:17  brouard
                    588:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    589:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    590: 
1.139     brouard   591:   Revision 1.138  2010/04/30 18:19:40  brouard
                    592:   *** empty log message ***
                    593: 
1.138     brouard   594:   Revision 1.137  2010/04/29 18:11:38  brouard
                    595:   (Module): Checking covariates for more complex models
                    596:   than V1+V2. A lot of change to be done. Unstable.
                    597: 
1.137     brouard   598:   Revision 1.136  2010/04/26 20:30:53  brouard
                    599:   (Module): merging some libgsl code. Fixing computation
                    600:   of likelione (using inter/intrapolation if mle = 0) in order to
                    601:   get same likelihood as if mle=1.
                    602:   Some cleaning of code and comments added.
                    603: 
1.136     brouard   604:   Revision 1.135  2009/10/29 15:33:14  brouard
                    605:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    606: 
1.135     brouard   607:   Revision 1.134  2009/10/29 13:18:53  brouard
                    608:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    609: 
1.134     brouard   610:   Revision 1.133  2009/07/06 10:21:25  brouard
                    611:   just nforces
                    612: 
1.133     brouard   613:   Revision 1.132  2009/07/06 08:22:05  brouard
                    614:   Many tings
                    615: 
1.132     brouard   616:   Revision 1.131  2009/06/20 16:22:47  brouard
                    617:   Some dimensions resccaled
                    618: 
1.131     brouard   619:   Revision 1.130  2009/05/26 06:44:34  brouard
                    620:   (Module): Max Covariate is now set to 20 instead of 8. A
                    621:   lot of cleaning with variables initialized to 0. Trying to make
                    622:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    623: 
1.130     brouard   624:   Revision 1.129  2007/08/31 13:49:27  lievre
                    625:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    626: 
1.129     lievre    627:   Revision 1.128  2006/06/30 13:02:05  brouard
                    628:   (Module): Clarifications on computing e.j
                    629: 
1.128     brouard   630:   Revision 1.127  2006/04/28 18:11:50  brouard
                    631:   (Module): Yes the sum of survivors was wrong since
                    632:   imach-114 because nhstepm was no more computed in the age
                    633:   loop. Now we define nhstepma in the age loop.
                    634:   (Module): In order to speed up (in case of numerous covariates) we
                    635:   compute health expectancies (without variances) in a first step
                    636:   and then all the health expectancies with variances or standard
                    637:   deviation (needs data from the Hessian matrices) which slows the
                    638:   computation.
                    639:   In the future we should be able to stop the program is only health
                    640:   expectancies and graph are needed without standard deviations.
                    641: 
1.127     brouard   642:   Revision 1.126  2006/04/28 17:23:28  brouard
                    643:   (Module): Yes the sum of survivors was wrong since
                    644:   imach-114 because nhstepm was no more computed in the age
                    645:   loop. Now we define nhstepma in the age loop.
                    646:   Version 0.98h
                    647: 
1.126     brouard   648:   Revision 1.125  2006/04/04 15:20:31  lievre
                    649:   Errors in calculation of health expectancies. Age was not initialized.
                    650:   Forecasting file added.
                    651: 
                    652:   Revision 1.124  2006/03/22 17:13:53  lievre
                    653:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    654:   The log-likelihood is printed in the log file
                    655: 
                    656:   Revision 1.123  2006/03/20 10:52:43  brouard
                    657:   * imach.c (Module): <title> changed, corresponds to .htm file
                    658:   name. <head> headers where missing.
                    659: 
                    660:   * imach.c (Module): Weights can have a decimal point as for
                    661:   English (a comma might work with a correct LC_NUMERIC environment,
                    662:   otherwise the weight is truncated).
                    663:   Modification of warning when the covariates values are not 0 or
                    664:   1.
                    665:   Version 0.98g
                    666: 
                    667:   Revision 1.122  2006/03/20 09:45:41  brouard
                    668:   (Module): Weights can have a decimal point as for
                    669:   English (a comma might work with a correct LC_NUMERIC environment,
                    670:   otherwise the weight is truncated).
                    671:   Modification of warning when the covariates values are not 0 or
                    672:   1.
                    673:   Version 0.98g
                    674: 
                    675:   Revision 1.121  2006/03/16 17:45:01  lievre
                    676:   * imach.c (Module): Comments concerning covariates added
                    677: 
                    678:   * imach.c (Module): refinements in the computation of lli if
                    679:   status=-2 in order to have more reliable computation if stepm is
                    680:   not 1 month. Version 0.98f
                    681: 
                    682:   Revision 1.120  2006/03/16 15:10:38  lievre
                    683:   (Module): refinements in the computation of lli if
                    684:   status=-2 in order to have more reliable computation if stepm is
                    685:   not 1 month. Version 0.98f
                    686: 
                    687:   Revision 1.119  2006/03/15 17:42:26  brouard
                    688:   (Module): Bug if status = -2, the loglikelihood was
                    689:   computed as likelihood omitting the logarithm. Version O.98e
                    690: 
                    691:   Revision 1.118  2006/03/14 18:20:07  brouard
                    692:   (Module): varevsij Comments added explaining the second
                    693:   table of variances if popbased=1 .
                    694:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    695:   (Module): Function pstamp added
                    696:   (Module): Version 0.98d
                    697: 
                    698:   Revision 1.117  2006/03/14 17:16:22  brouard
                    699:   (Module): varevsij Comments added explaining the second
                    700:   table of variances if popbased=1 .
                    701:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    702:   (Module): Function pstamp added
                    703:   (Module): Version 0.98d
                    704: 
                    705:   Revision 1.116  2006/03/06 10:29:27  brouard
                    706:   (Module): Variance-covariance wrong links and
                    707:   varian-covariance of ej. is needed (Saito).
                    708: 
                    709:   Revision 1.115  2006/02/27 12:17:45  brouard
                    710:   (Module): One freematrix added in mlikeli! 0.98c
                    711: 
                    712:   Revision 1.114  2006/02/26 12:57:58  brouard
                    713:   (Module): Some improvements in processing parameter
                    714:   filename with strsep.
                    715: 
                    716:   Revision 1.113  2006/02/24 14:20:24  brouard
                    717:   (Module): Memory leaks checks with valgrind and:
                    718:   datafile was not closed, some imatrix were not freed and on matrix
                    719:   allocation too.
                    720: 
                    721:   Revision 1.112  2006/01/30 09:55:26  brouard
                    722:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    723: 
                    724:   Revision 1.111  2006/01/25 20:38:18  brouard
                    725:   (Module): Lots of cleaning and bugs added (Gompertz)
                    726:   (Module): Comments can be added in data file. Missing date values
                    727:   can be a simple dot '.'.
                    728: 
                    729:   Revision 1.110  2006/01/25 00:51:50  brouard
                    730:   (Module): Lots of cleaning and bugs added (Gompertz)
                    731: 
                    732:   Revision 1.109  2006/01/24 19:37:15  brouard
                    733:   (Module): Comments (lines starting with a #) are allowed in data.
                    734: 
                    735:   Revision 1.108  2006/01/19 18:05:42  lievre
                    736:   Gnuplot problem appeared...
                    737:   To be fixed
                    738: 
                    739:   Revision 1.107  2006/01/19 16:20:37  brouard
                    740:   Test existence of gnuplot in imach path
                    741: 
                    742:   Revision 1.106  2006/01/19 13:24:36  brouard
                    743:   Some cleaning and links added in html output
                    744: 
                    745:   Revision 1.105  2006/01/05 20:23:19  lievre
                    746:   *** empty log message ***
                    747: 
                    748:   Revision 1.104  2005/09/30 16:11:43  lievre
                    749:   (Module): sump fixed, loop imx fixed, and simplifications.
                    750:   (Module): If the status is missing at the last wave but we know
                    751:   that the person is alive, then we can code his/her status as -2
                    752:   (instead of missing=-1 in earlier versions) and his/her
                    753:   contributions to the likelihood is 1 - Prob of dying from last
                    754:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    755:   the healthy state at last known wave). Version is 0.98
                    756: 
                    757:   Revision 1.103  2005/09/30 15:54:49  lievre
                    758:   (Module): sump fixed, loop imx fixed, and simplifications.
                    759: 
                    760:   Revision 1.102  2004/09/15 17:31:30  brouard
                    761:   Add the possibility to read data file including tab characters.
                    762: 
                    763:   Revision 1.101  2004/09/15 10:38:38  brouard
                    764:   Fix on curr_time
                    765: 
                    766:   Revision 1.100  2004/07/12 18:29:06  brouard
                    767:   Add version for Mac OS X. Just define UNIX in Makefile
                    768: 
                    769:   Revision 1.99  2004/06/05 08:57:40  brouard
                    770:   *** empty log message ***
                    771: 
                    772:   Revision 1.98  2004/05/16 15:05:56  brouard
                    773:   New version 0.97 . First attempt to estimate force of mortality
                    774:   directly from the data i.e. without the need of knowing the health
                    775:   state at each age, but using a Gompertz model: log u =a + b*age .
                    776:   This is the basic analysis of mortality and should be done before any
                    777:   other analysis, in order to test if the mortality estimated from the
                    778:   cross-longitudinal survey is different from the mortality estimated
                    779:   from other sources like vital statistic data.
                    780: 
                    781:   The same imach parameter file can be used but the option for mle should be -3.
                    782: 
1.133     brouard   783:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   784:   former routines in order to include the new code within the former code.
                    785: 
                    786:   The output is very simple: only an estimate of the intercept and of
                    787:   the slope with 95% confident intervals.
                    788: 
                    789:   Current limitations:
                    790:   A) Even if you enter covariates, i.e. with the
                    791:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    792:   B) There is no computation of Life Expectancy nor Life Table.
                    793: 
                    794:   Revision 1.97  2004/02/20 13:25:42  lievre
                    795:   Version 0.96d. Population forecasting command line is (temporarily)
                    796:   suppressed.
                    797: 
                    798:   Revision 1.96  2003/07/15 15:38:55  brouard
                    799:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    800:   rewritten within the same printf. Workaround: many printfs.
                    801: 
                    802:   Revision 1.95  2003/07/08 07:54:34  brouard
                    803:   * imach.c (Repository):
                    804:   (Repository): Using imachwizard code to output a more meaningful covariance
                    805:   matrix (cov(a12,c31) instead of numbers.
                    806: 
                    807:   Revision 1.94  2003/06/27 13:00:02  brouard
                    808:   Just cleaning
                    809: 
                    810:   Revision 1.93  2003/06/25 16:33:55  brouard
                    811:   (Module): On windows (cygwin) function asctime_r doesn't
                    812:   exist so I changed back to asctime which exists.
                    813:   (Module): Version 0.96b
                    814: 
                    815:   Revision 1.92  2003/06/25 16:30:45  brouard
                    816:   (Module): On windows (cygwin) function asctime_r doesn't
                    817:   exist so I changed back to asctime which exists.
                    818: 
                    819:   Revision 1.91  2003/06/25 15:30:29  brouard
                    820:   * imach.c (Repository): Duplicated warning errors corrected.
                    821:   (Repository): Elapsed time after each iteration is now output. It
                    822:   helps to forecast when convergence will be reached. Elapsed time
                    823:   is stamped in powell.  We created a new html file for the graphs
                    824:   concerning matrix of covariance. It has extension -cov.htm.
                    825: 
                    826:   Revision 1.90  2003/06/24 12:34:15  brouard
                    827:   (Module): Some bugs corrected for windows. Also, when
                    828:   mle=-1 a template is output in file "or"mypar.txt with the design
                    829:   of the covariance matrix to be input.
                    830: 
                    831:   Revision 1.89  2003/06/24 12:30:52  brouard
                    832:   (Module): Some bugs corrected for windows. Also, when
                    833:   mle=-1 a template is output in file "or"mypar.txt with the design
                    834:   of the covariance matrix to be input.
                    835: 
                    836:   Revision 1.88  2003/06/23 17:54:56  brouard
                    837:   * 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.
                    838: 
                    839:   Revision 1.87  2003/06/18 12:26:01  brouard
                    840:   Version 0.96
                    841: 
                    842:   Revision 1.86  2003/06/17 20:04:08  brouard
                    843:   (Module): Change position of html and gnuplot routines and added
                    844:   routine fileappend.
                    845: 
                    846:   Revision 1.85  2003/06/17 13:12:43  brouard
                    847:   * imach.c (Repository): Check when date of death was earlier that
                    848:   current date of interview. It may happen when the death was just
                    849:   prior to the death. In this case, dh was negative and likelihood
                    850:   was wrong (infinity). We still send an "Error" but patch by
                    851:   assuming that the date of death was just one stepm after the
                    852:   interview.
                    853:   (Repository): Because some people have very long ID (first column)
                    854:   we changed int to long in num[] and we added a new lvector for
                    855:   memory allocation. But we also truncated to 8 characters (left
                    856:   truncation)
                    857:   (Repository): No more line truncation errors.
                    858: 
                    859:   Revision 1.84  2003/06/13 21:44:43  brouard
                    860:   * imach.c (Repository): Replace "freqsummary" at a correct
                    861:   place. It differs from routine "prevalence" which may be called
                    862:   many times. Probs is memory consuming and must be used with
                    863:   parcimony.
                    864:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    865: 
                    866:   Revision 1.83  2003/06/10 13:39:11  lievre
                    867:   *** empty log message ***
                    868: 
                    869:   Revision 1.82  2003/06/05 15:57:20  brouard
                    870:   Add log in  imach.c and  fullversion number is now printed.
                    871: 
                    872: */
                    873: /*
                    874:    Interpolated Markov Chain
                    875: 
                    876:   Short summary of the programme:
                    877:   
1.227     brouard   878:   This program computes Healthy Life Expectancies or State-specific
                    879:   (if states aren't health statuses) Expectancies from
                    880:   cross-longitudinal data. Cross-longitudinal data consist in: 
                    881: 
                    882:   -1- a first survey ("cross") where individuals from different ages
                    883:   are interviewed on their health status or degree of disability (in
                    884:   the case of a health survey which is our main interest)
                    885: 
                    886:   -2- at least a second wave of interviews ("longitudinal") which
                    887:   measure each change (if any) in individual health status.  Health
                    888:   expectancies are computed from the time spent in each health state
                    889:   according to a model. More health states you consider, more time is
                    890:   necessary to reach the Maximum Likelihood of the parameters involved
                    891:   in the model.  The simplest model is the multinomial logistic model
                    892:   where pij is the probability to be observed in state j at the second
                    893:   wave conditional to be observed in state i at the first
                    894:   wave. Therefore the model is: log(pij/pii)= aij + bij*age+ cij*sex +
                    895:   etc , where 'age' is age and 'sex' is a covariate. If you want to
                    896:   have a more complex model than "constant and age", you should modify
                    897:   the program where the markup *Covariates have to be included here
                    898:   again* invites you to do it.  More covariates you add, slower the
1.126     brouard   899:   convergence.
                    900: 
                    901:   The advantage of this computer programme, compared to a simple
                    902:   multinomial logistic model, is clear when the delay between waves is not
                    903:   identical for each individual. Also, if a individual missed an
                    904:   intermediate interview, the information is lost, but taken into
                    905:   account using an interpolation or extrapolation.  
                    906: 
                    907:   hPijx is the probability to be observed in state i at age x+h
                    908:   conditional to the observed state i at age x. The delay 'h' can be
                    909:   split into an exact number (nh*stepm) of unobserved intermediate
                    910:   states. This elementary transition (by month, quarter,
                    911:   semester or year) is modelled as a multinomial logistic.  The hPx
                    912:   matrix is simply the matrix product of nh*stepm elementary matrices
                    913:   and the contribution of each individual to the likelihood is simply
                    914:   hPijx.
                    915: 
                    916:   Also this programme outputs the covariance matrix of the parameters but also
1.218     brouard   917:   of the life expectancies. It also computes the period (stable) prevalence.
                    918: 
                    919: Back prevalence and projections:
1.227     brouard   920: 
                    921:  - back_prevalence_limit(double *p, double **bprlim, double ageminpar,
                    922:    double agemaxpar, double ftolpl, int *ncvyearp, double
                    923:    dateprev1,double dateprev2, int firstpass, int lastpass, int
                    924:    mobilavproj)
                    925: 
                    926:     Computes the back prevalence limit for any combination of
                    927:     covariate values k at any age between ageminpar and agemaxpar and
                    928:     returns it in **bprlim. In the loops,
                    929: 
                    930:    - **bprevalim(**bprlim, ***mobaverage, nlstate, *p, age, **oldm,
                    931:        **savm, **dnewm, **doldm, **dsavm, ftolpl, ncvyearp, k);
                    932: 
                    933:    - hBijx Back Probability to be in state i at age x-h being in j at x
1.218     brouard   934:    Computes for any combination of covariates k and any age between bage and fage 
                    935:    p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                    936:                        oldm=oldms;savm=savms;
1.227     brouard   937: 
1.267     brouard   938:    - hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k, nres);
1.218     brouard   939:      Computes the transition matrix starting at age 'age' over
                    940:      'nhstepm*hstepm*stepm' months (i.e. until
                    941:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
1.227     brouard   942:      nhstepm*hstepm matrices. 
                    943: 
                    944:      Returns p3mat[i][j][h] after calling
                    945:      p3mat[i][j][h]=matprod2(newm,
                    946:      bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm,
                    947:      dsavm,ij),\ 1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,
                    948:      oldm);
1.226     brouard   949: 
                    950: Important routines
                    951: 
                    952: - func (or funcone), computes logit (pij) distinguishing
                    953:   o fixed variables (single or product dummies or quantitative);
                    954:   o varying variables by:
                    955:    (1) wave (single, product dummies, quantitative), 
                    956:    (2) by age (can be month) age (done), age*age (done), age*Vn where Vn can be:
                    957:        % fixed dummy (treated) or quantitative (not done because time-consuming);
                    958:        % varying dummy (not done) or quantitative (not done);
                    959: - Tricode which tests the modality of dummy variables (in order to warn with wrong or empty modalities)
                    960:   and returns the number of efficient covariates cptcoveff and modalities nbcode[Tvar[k]][1]= 0 and nbcode[Tvar[k]][2]= 1 usually.
                    961: - printinghtml which outputs results like life expectancy in and from a state for a combination of modalities of dummy variables
                    962:   o There are 2*cptcoveff combinations of (0,1) for cptcoveff variables. Outputting only combinations with people, éliminating 1 1 if
                    963:     race White (0 0), Black vs White (1 0), Hispanic (0 1) and 1 1 being meaningless.
1.218     brouard   964: 
1.226     brouard   965: 
                    966:   
1.133     brouard   967:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                    968:            Institut national d'études démographiques, Paris.
1.126     brouard   969:   This software have been partly granted by Euro-REVES, a concerted action
                    970:   from the European Union.
                    971:   It is copyrighted identically to a GNU software product, ie programme and
                    972:   software can be distributed freely for non commercial use. Latest version
                    973:   can be accessed at http://euroreves.ined.fr/imach .
                    974: 
                    975:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                    976:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                    977:   
                    978:   **********************************************************************/
                    979: /*
                    980:   main
                    981:   read parameterfile
                    982:   read datafile
                    983:   concatwav
                    984:   freqsummary
                    985:   if (mle >= 1)
                    986:     mlikeli
                    987:   print results files
                    988:   if mle==1 
                    989:      computes hessian
                    990:   read end of parameter file: agemin, agemax, bage, fage, estepm
                    991:       begin-prev-date,...
                    992:   open gnuplot file
                    993:   open html file
1.145     brouard   994:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                    995:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                    996:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                    997:     freexexit2 possible for memory heap.
                    998: 
                    999:   h Pij x                         | pij_nom  ficrestpij
                   1000:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                   1001:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                   1002:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                   1003: 
                   1004:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                   1005:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                   1006:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                   1007:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                   1008:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                   1009: 
1.126     brouard  1010:   forecasting if prevfcast==1 prevforecast call prevalence()
                   1011:   health expectancies
                   1012:   Variance-covariance of DFLE
                   1013:   prevalence()
                   1014:    movingaverage()
                   1015:   varevsij() 
                   1016:   if popbased==1 varevsij(,popbased)
                   1017:   total life expectancies
                   1018:   Variance of period (stable) prevalence
                   1019:  end
                   1020: */
                   1021: 
1.187     brouard  1022: /* #define DEBUG */
                   1023: /* #define DEBUGBRENT */
1.203     brouard  1024: /* #define DEBUGLINMIN */
                   1025: /* #define DEBUGHESS */
                   1026: #define DEBUGHESSIJ
1.224     brouard  1027: /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan) *\/ */
1.165     brouard  1028: #define POWELL /* Instead of NLOPT */
1.224     brouard  1029: #define POWELLNOF3INFF1TEST /* Skip test */
1.186     brouard  1030: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                   1031: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.126     brouard  1032: 
                   1033: #include <math.h>
                   1034: #include <stdio.h>
                   1035: #include <stdlib.h>
                   1036: #include <string.h>
1.226     brouard  1037: #include <ctype.h>
1.159     brouard  1038: 
                   1039: #ifdef _WIN32
                   1040: #include <io.h>
1.172     brouard  1041: #include <windows.h>
                   1042: #include <tchar.h>
1.159     brouard  1043: #else
1.126     brouard  1044: #include <unistd.h>
1.159     brouard  1045: #endif
1.126     brouard  1046: 
                   1047: #include <limits.h>
                   1048: #include <sys/types.h>
1.171     brouard  1049: 
                   1050: #if defined(__GNUC__)
                   1051: #include <sys/utsname.h> /* Doesn't work on Windows */
                   1052: #endif
                   1053: 
1.126     brouard  1054: #include <sys/stat.h>
                   1055: #include <errno.h>
1.159     brouard  1056: /* extern int errno; */
1.126     brouard  1057: 
1.157     brouard  1058: /* #ifdef LINUX */
                   1059: /* #include <time.h> */
                   1060: /* #include "timeval.h" */
                   1061: /* #else */
                   1062: /* #include <sys/time.h> */
                   1063: /* #endif */
                   1064: 
1.126     brouard  1065: #include <time.h>
                   1066: 
1.136     brouard  1067: #ifdef GSL
                   1068: #include <gsl/gsl_errno.h>
                   1069: #include <gsl/gsl_multimin.h>
                   1070: #endif
                   1071: 
1.167     brouard  1072: 
1.162     brouard  1073: #ifdef NLOPT
                   1074: #include <nlopt.h>
                   1075: typedef struct {
                   1076:   double (* function)(double [] );
                   1077: } myfunc_data ;
                   1078: #endif
                   1079: 
1.126     brouard  1080: /* #include <libintl.h> */
                   1081: /* #define _(String) gettext (String) */
                   1082: 
1.251     brouard  1083: #define MAXLINE 2048 /* Was 256 and 1024. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard  1084: 
                   1085: #define GNUPLOTPROGRAM "gnuplot"
                   1086: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                   1087: #define FILENAMELENGTH 132
                   1088: 
                   1089: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                   1090: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                   1091: 
1.144     brouard  1092: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                   1093: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard  1094: 
                   1095: #define NINTERVMAX 8
1.144     brouard  1096: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                   1097: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
1.291     brouard  1098: #define NCOVMAX 20  /**< Maximum number of covariates, including generated covariates V1*V2 */
1.197     brouard  1099: #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.211     brouard  1100: /*#define decodtabm(h,k,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (k-1)) & 1) +1 : -1)*/
                   1101: #define decodtabm(h,k,cptcoveff) (((h-1) >> (k-1)) & 1) +1 
1.290     brouard  1102: /*#define MAXN 20000 */ /* Should by replaced by nobs, real number of observations and unlimited */
1.144     brouard  1103: #define YEARM 12. /**< Number of months per year */
1.218     brouard  1104: /* #define AGESUP 130 */
1.288     brouard  1105: /* #define AGESUP 150 */
                   1106: #define AGESUP 200
1.268     brouard  1107: #define AGEINF 0
1.218     brouard  1108: #define AGEMARGE 25 /* Marge for agemin and agemax for(iage=agemin-AGEMARGE; iage <= agemax+3+AGEMARGE; iage++) */
1.126     brouard  1109: #define AGEBASE 40
1.194     brouard  1110: #define AGEOVERFLOW 1.e20
1.164     brouard  1111: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard  1112: #ifdef _WIN32
                   1113: #define DIRSEPARATOR '\\'
                   1114: #define CHARSEPARATOR "\\"
                   1115: #define ODIRSEPARATOR '/'
                   1116: #else
1.126     brouard  1117: #define DIRSEPARATOR '/'
                   1118: #define CHARSEPARATOR "/"
                   1119: #define ODIRSEPARATOR '\\'
                   1120: #endif
                   1121: 
1.301   ! brouard  1122: /* $Id: imach.c,v 1.300 2019/05/22 19:09:45 brouard Exp $ */
1.126     brouard  1123: /* $State: Exp $ */
1.196     brouard  1124: #include "version.h"
                   1125: char version[]=__IMACH_VERSION__;
1.300     brouard  1126: char copyright[]="May 2019,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015-2020";
1.301   ! brouard  1127: char fullversion[]="$Revision: 1.300 $ $Date: 2019/05/22 19:09:45 $"; 
1.126     brouard  1128: char strstart[80];
                   1129: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard  1130: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard  1131: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard  1132: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                   1133: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                   1134: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
1.225     brouard  1135: int cptcovs=0; /**< cptcovs number of simple covariates in the model V2+V1 =2 */
                   1136: int cptcovsnq=0; /**< cptcovsnq number of simple covariates in the model but non quantitative V2+V1 =2 */
1.145     brouard  1137: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                   1138: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                   1139: int cptcoveff=0; /* Total number of covariates to vary for printing results */
1.233     brouard  1140: int ncovf=0; /* Total number of effective fixed covariates (dummy or quantitative) in the model */
                   1141: int ncovv=0; /* Total number of effective (wave) varying covariates (dummy or quantitative) in the model */
1.232     brouard  1142: int ncova=0; /* Total number of effective (wave and stepm) varying with age covariates (dummy of quantitative) in the model */
1.234     brouard  1143: int nsd=0; /**< Total number of single dummy variables (output) */
                   1144: int nsq=0; /**< Total number of single quantitative variables (output) */
1.232     brouard  1145: int ncoveff=0; /* Total number of effective fixed dummy covariates in the model */
1.225     brouard  1146: int nqfveff=0; /**< nqfveff Number of Quantitative Fixed Variables Effective */
1.224     brouard  1147: int ntveff=0; /**< ntveff number of effective time varying variables */
                   1148: int nqtveff=0; /**< ntqveff number of effective time varying quantitative variables */
1.145     brouard  1149: int cptcov=0; /* Working variable */
1.290     brouard  1150: int nobs=10;  /* Number of observations in the data lastobs-firstobs */
1.218     brouard  1151: int ncovcombmax=NCOVMAX; /* Maximum calculated number of covariate combination = pow(2, cptcoveff) */
1.126     brouard  1152: int npar=NPARMAX;
                   1153: int nlstate=2; /* Number of live states */
                   1154: int ndeath=1; /* Number of dead states */
1.130     brouard  1155: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.223     brouard  1156: int  nqv=0, ntv=0, nqtv=0;    /* Total number of quantitative variables, time variable (dummy), quantitative and time variable */ 
1.126     brouard  1157: int popbased=0;
                   1158: 
                   1159: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard  1160: int maxwav=0; /* Maxim number of waves */
                   1161: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                   1162: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                   1163: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard  1164:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard  1165: int mle=1, weightopt=0;
1.126     brouard  1166: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                   1167: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                   1168: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                   1169:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard  1170: int countcallfunc=0;  /* Count the number of calls to func */
1.230     brouard  1171: int selected(int kvar); /* Is covariate kvar selected for printing results */
                   1172: 
1.130     brouard  1173: double jmean=1; /* Mean space between 2 waves */
1.145     brouard  1174: double **matprod2(); /* test */
1.126     brouard  1175: double **oldm, **newm, **savm; /* Working pointers to matrices */
                   1176: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.218     brouard  1177: double  **ddnewms, **ddoldms, **ddsavms; /* for freeing later */
                   1178: 
1.136     brouard  1179: /*FILE *fic ; */ /* Used in readdata only */
1.217     brouard  1180: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficresphtm, *ficresphtmfr, *ficrespl, *ficresplb,*ficrespij, *ficrespijb, *ficrest,*ficresf, *ficresfb,*ficrespop;
1.126     brouard  1181: FILE *ficlog, *ficrespow;
1.130     brouard  1182: int globpr=0; /* Global variable for printing or not */
1.126     brouard  1183: double fretone; /* Only one call to likelihood */
1.130     brouard  1184: long ipmx=0; /* Number of contributions */
1.126     brouard  1185: double sw; /* Sum of weights */
                   1186: char filerespow[FILENAMELENGTH];
                   1187: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                   1188: FILE *ficresilk;
                   1189: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                   1190: FILE *ficresprobmorprev;
                   1191: FILE *fichtm, *fichtmcov; /* Html File */
                   1192: FILE *ficreseij;
                   1193: char filerese[FILENAMELENGTH];
                   1194: FILE *ficresstdeij;
                   1195: char fileresstde[FILENAMELENGTH];
                   1196: FILE *ficrescveij;
                   1197: char filerescve[FILENAMELENGTH];
                   1198: FILE  *ficresvij;
                   1199: char fileresv[FILENAMELENGTH];
1.269     brouard  1200: 
1.126     brouard  1201: char title[MAXLINE];
1.234     brouard  1202: char model[MAXLINE]; /**< The model line */
1.217     brouard  1203: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH],  fileresplb[FILENAMELENGTH];
1.126     brouard  1204: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                   1205: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                   1206: char command[FILENAMELENGTH];
                   1207: int  outcmd=0;
                   1208: 
1.217     brouard  1209: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filerespijb[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
1.202     brouard  1210: char fileresu[FILENAMELENGTH]; /* fileres without r in front */
1.126     brouard  1211: char filelog[FILENAMELENGTH]; /* Log file */
                   1212: char filerest[FILENAMELENGTH];
                   1213: char fileregp[FILENAMELENGTH];
                   1214: char popfile[FILENAMELENGTH];
                   1215: 
                   1216: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                   1217: 
1.157     brouard  1218: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                   1219: /* struct timezone tzp; */
                   1220: /* extern int gettimeofday(); */
                   1221: struct tm tml, *gmtime(), *localtime();
                   1222: 
                   1223: extern time_t time();
                   1224: 
                   1225: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                   1226: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                   1227: struct tm tm;
                   1228: 
1.126     brouard  1229: char strcurr[80], strfor[80];
                   1230: 
                   1231: char *endptr;
                   1232: long lval;
                   1233: double dval;
                   1234: 
                   1235: #define NR_END 1
                   1236: #define FREE_ARG char*
                   1237: #define FTOL 1.0e-10
                   1238: 
                   1239: #define NRANSI 
1.240     brouard  1240: #define ITMAX 200
                   1241: #define ITPOWMAX 20 /* This is now multiplied by the number of parameters */ 
1.126     brouard  1242: 
                   1243: #define TOL 2.0e-4 
                   1244: 
                   1245: #define CGOLD 0.3819660 
                   1246: #define ZEPS 1.0e-10 
                   1247: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                   1248: 
                   1249: #define GOLD 1.618034 
                   1250: #define GLIMIT 100.0 
                   1251: #define TINY 1.0e-20 
                   1252: 
                   1253: static double maxarg1,maxarg2;
                   1254: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                   1255: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                   1256:   
                   1257: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                   1258: #define rint(a) floor(a+0.5)
1.166     brouard  1259: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard  1260: #define mytinydouble 1.0e-16
1.166     brouard  1261: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                   1262: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                   1263: /* static double dsqrarg; */
                   1264: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard  1265: static double sqrarg;
                   1266: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                   1267: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                   1268: int agegomp= AGEGOMP;
                   1269: 
                   1270: int imx; 
                   1271: int stepm=1;
                   1272: /* Stepm, step in month: minimum step interpolation*/
                   1273: 
                   1274: int estepm;
                   1275: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                   1276: 
                   1277: int m,nb;
                   1278: long *num;
1.197     brouard  1279: int firstpass=0, lastpass=4,*cod, *cens;
1.192     brouard  1280: int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                   1281:                   covariate for which somebody answered excluding 
                   1282:                   undefined. Usually 2: 0 and 1. */
                   1283: int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                   1284:                             covariate for which somebody answered including 
                   1285:                             undefined. Usually 3: -1, 0 and 1. */
1.126     brouard  1286: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
1.218     brouard  1287: double **pmmij, ***probs; /* Global pointer */
1.219     brouard  1288: double ***mobaverage, ***mobaverages; /* New global variable */
1.126     brouard  1289: double *ageexmed,*agecens;
                   1290: double dateintmean=0;
1.296     brouard  1291:   double anprojd, mprojd, jprojd; /* For eventual projections */
                   1292:   double anprojf, mprojf, jprojf;
1.126     brouard  1293: 
1.296     brouard  1294:   double anbackd, mbackd, jbackd; /* For eventual backprojections */
                   1295:   double anbackf, mbackf, jbackf;
                   1296:   double jintmean,mintmean,aintmean;  
1.126     brouard  1297: double *weight;
                   1298: int **s; /* Status */
1.141     brouard  1299: double *agedc;
1.145     brouard  1300: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard  1301:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard  1302:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.268     brouard  1303: double **coqvar; /* Fixed quantitative covariate nqv */
                   1304: double ***cotvar; /* Time varying covariate ntv */
1.225     brouard  1305: double ***cotqvar; /* Time varying quantitative covariate itqv */
1.141     brouard  1306: double  idx; 
                   1307: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.234     brouard  1308: /*           V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1309: /*k          1  2   3   4     5    6    7     8    9 */
                   1310: /*Tvar[k]=   5  4   3   6     5    2    7     1    1 */
                   1311: /* Tndvar[k]    1   2   3               4          5 */
                   1312: /*TDvar         4   3   6               7          1 */ /* For outputs only; combination of dummies fixed or varying */
                   1313: /* Tns[k]    1  2   2              4               5 */ /* Number of single cova */
                   1314: /* TvarsD[k]    1   2                              3 */ /* Number of single dummy cova */
                   1315: /* TvarsDind    2   3                              9 */ /* position K of single dummy cova */
                   1316: /* TvarsQ[k] 1                     2                 */ /* Number of single quantitative cova */
                   1317: /* TvarsQind 1                     6                 */ /* position K of single quantitative cova */
                   1318: /* Tprod[i]=k           4               7            */
                   1319: /* Tage[i]=k                  5               8      */
                   1320: /* */
                   1321: /* Type                    */
                   1322: /* V         1  2  3  4  5 */
                   1323: /*           F  F  V  V  V */
                   1324: /*           D  Q  D  D  Q */
                   1325: /*                         */
                   1326: int *TvarsD;
                   1327: int *TvarsDind;
                   1328: int *TvarsQ;
                   1329: int *TvarsQind;
                   1330: 
1.235     brouard  1331: #define MAXRESULTLINES 10
                   1332: int nresult=0;
1.258     brouard  1333: int parameterline=0; /* # of the parameter (type) line */
1.235     brouard  1334: int TKresult[MAXRESULTLINES];
1.237     brouard  1335: int Tresult[MAXRESULTLINES][NCOVMAX];/* For dummy variable , value (output) */
                   1336: int Tinvresult[MAXRESULTLINES][NCOVMAX];/* For dummy variable , value (output) */
1.235     brouard  1337: int Tvresult[MAXRESULTLINES][NCOVMAX]; /* For dummy variable , variable # (output) */
                   1338: double Tqresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , value (output) */
1.237     brouard  1339: double Tqinvresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , value (output) */
1.235     brouard  1340: int Tvqresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , variable # (output) */
                   1341: 
1.234     brouard  1342: /* 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  1343: 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 */
                   1344: 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 */
                   1345: 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 */
                   1346: int *TvarVind; /**< TvarVind[1]=1, TvarVind[2]=2  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1347: 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 */
                   1348: 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  1349: int *TvarFD; /**< TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1350: int *TvarFDind; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1351: int *TvarFQ; /* TvarFQ[1]=V2 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1352: int *TvarFQind; /* TvarFQind[1]=6 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1353: int *TvarVD; /* TvarVD[1]=V5 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1354: int *TvarVDind; /* TvarVDind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1355: 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 */
                   1356: 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 */
                   1357: 
1.230     brouard  1358: int *Tvarsel; /**< Selected covariates for output */
                   1359: double *Tvalsel; /**< Selected modality value of covariate for output */
1.226     brouard  1360: int *Typevar; /**< 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product */
1.227     brouard  1361: int *Fixed; /** Fixed[k] 0=fixed, 1 varying, 2 fixed with age product, 3 varying with age product */ 
                   1362: 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  1363: int *DummyV; /** Dummy[v] 0=dummy (0 1), 1 quantitative */
                   1364: int *FixedV; /** FixedV[v] 0 fixed, 1 varying */
1.197     brouard  1365: int *Tage;
1.227     brouard  1366: int anyvaryingduminmodel=0; /**< Any varying dummy in Model=1 yes, 0 no, to avoid a loop on waves in freq */ 
1.228     brouard  1367: 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  1368: 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*/ 
                   1369: 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  1370: int *Ndum; /** Freq of modality (tricode */
1.200     brouard  1371: /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
1.227     brouard  1372: int **Tvard;
                   1373: int *Tprod;/**< Gives the k position of the k1 product */
1.238     brouard  1374: /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3  */
1.227     brouard  1375: int *Tposprod; /**< Gives the k1 product from the k position */
1.238     brouard  1376:    /* if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2) */
                   1377:    /* Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5(V3*V2)]=2 (2nd product without age) */
1.227     brouard  1378: int cptcovprod, *Tvaraff, *invalidvarcomb;
1.126     brouard  1379: double *lsurv, *lpop, *tpop;
                   1380: 
1.231     brouard  1381: #define FD 1; /* Fixed dummy covariate */
                   1382: #define FQ 2; /* Fixed quantitative covariate */
                   1383: #define FP 3; /* Fixed product covariate */
                   1384: #define FPDD 7; /* Fixed product dummy*dummy covariate */
                   1385: #define FPDQ 8; /* Fixed product dummy*quantitative covariate */
                   1386: #define FPQQ 9; /* Fixed product quantitative*quantitative covariate */
                   1387: #define VD 10; /* Varying dummy covariate */
                   1388: #define VQ 11; /* Varying quantitative covariate */
                   1389: #define VP 12; /* Varying product covariate */
                   1390: #define VPDD 13; /* Varying product dummy*dummy covariate */
                   1391: #define VPDQ 14; /* Varying product dummy*quantitative covariate */
                   1392: #define VPQQ 15; /* Varying product quantitative*quantitative covariate */
                   1393: #define APFD 16; /* Age product * fixed dummy covariate */
                   1394: #define APFQ 17; /* Age product * fixed quantitative covariate */
                   1395: #define APVD 18; /* Age product * varying dummy covariate */
                   1396: #define APVQ 19; /* Age product * varying quantitative covariate */
                   1397: 
                   1398: #define FTYPE 1; /* Fixed covariate */
                   1399: #define VTYPE 2; /* Varying covariate (loop in wave) */
                   1400: #define ATYPE 2; /* Age product covariate (loop in dh within wave)*/
                   1401: 
                   1402: struct kmodel{
                   1403:        int maintype; /* main type */
                   1404:        int subtype; /* subtype */
                   1405: };
                   1406: struct kmodel modell[NCOVMAX];
                   1407: 
1.143     brouard  1408: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                   1409: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard  1410: 
                   1411: /**************** split *************************/
                   1412: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                   1413: {
                   1414:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                   1415:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                   1416:   */ 
                   1417:   char *ss;                            /* pointer */
1.186     brouard  1418:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard  1419: 
                   1420:   l1 = strlen(path );                  /* length of path */
                   1421:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1422:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                   1423:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                   1424:     strcpy( name, path );              /* we got the fullname name because no directory */
                   1425:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                   1426:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                   1427:     /* get current working directory */
                   1428:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard  1429: #ifdef WIN32
                   1430:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                   1431: #else
                   1432:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                   1433: #endif
1.126     brouard  1434:       return( GLOCK_ERROR_GETCWD );
                   1435:     }
                   1436:     /* got dirc from getcwd*/
                   1437:     printf(" DIRC = %s \n",dirc);
1.205     brouard  1438:   } else {                             /* strip directory from path */
1.126     brouard  1439:     ss++;                              /* after this, the filename */
                   1440:     l2 = strlen( ss );                 /* length of filename */
                   1441:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1442:     strcpy( name, ss );                /* save file name */
                   1443:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard  1444:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard  1445:     printf(" DIRC2 = %s \n",dirc);
                   1446:   }
                   1447:   /* We add a separator at the end of dirc if not exists */
                   1448:   l1 = strlen( dirc );                 /* length of directory */
                   1449:   if( dirc[l1-1] != DIRSEPARATOR ){
                   1450:     dirc[l1] =  DIRSEPARATOR;
                   1451:     dirc[l1+1] = 0; 
                   1452:     printf(" DIRC3 = %s \n",dirc);
                   1453:   }
                   1454:   ss = strrchr( name, '.' );           /* find last / */
                   1455:   if (ss >0){
                   1456:     ss++;
                   1457:     strcpy(ext,ss);                    /* save extension */
                   1458:     l1= strlen( name);
                   1459:     l2= strlen(ss)+1;
                   1460:     strncpy( finame, name, l1-l2);
                   1461:     finame[l1-l2]= 0;
                   1462:   }
                   1463: 
                   1464:   return( 0 );                         /* we're done */
                   1465: }
                   1466: 
                   1467: 
                   1468: /******************************************/
                   1469: 
                   1470: void replace_back_to_slash(char *s, char*t)
                   1471: {
                   1472:   int i;
                   1473:   int lg=0;
                   1474:   i=0;
                   1475:   lg=strlen(t);
                   1476:   for(i=0; i<= lg; i++) {
                   1477:     (s[i] = t[i]);
                   1478:     if (t[i]== '\\') s[i]='/';
                   1479:   }
                   1480: }
                   1481: 
1.132     brouard  1482: char *trimbb(char *out, char *in)
1.137     brouard  1483: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard  1484:   char *s;
                   1485:   s=out;
                   1486:   while (*in != '\0'){
1.137     brouard  1487:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard  1488:       in++;
                   1489:     }
                   1490:     *out++ = *in++;
                   1491:   }
                   1492:   *out='\0';
                   1493:   return s;
                   1494: }
                   1495: 
1.187     brouard  1496: /* char *substrchaine(char *out, char *in, char *chain) */
                   1497: /* { */
                   1498: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                   1499: /*   char *s, *t; */
                   1500: /*   t=in;s=out; */
                   1501: /*   while ((*in != *chain) && (*in != '\0')){ */
                   1502: /*     *out++ = *in++; */
                   1503: /*   } */
                   1504: 
                   1505: /*   /\* *in matches *chain *\/ */
                   1506: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                   1507: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1508: /*   } */
                   1509: /*   in--; chain--; */
                   1510: /*   while ( (*in != '\0')){ */
                   1511: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1512: /*     *out++ = *in++; */
                   1513: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1514: /*   } */
                   1515: /*   *out='\0'; */
                   1516: /*   out=s; */
                   1517: /*   return out; */
                   1518: /* } */
                   1519: char *substrchaine(char *out, char *in, char *chain)
                   1520: {
                   1521:   /* Substract chain 'chain' from 'in', return and output 'out' */
                   1522:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                   1523: 
                   1524:   char *strloc;
                   1525: 
                   1526:   strcpy (out, in); 
                   1527:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                   1528:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                   1529:   if(strloc != NULL){ 
                   1530:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                   1531:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                   1532:     /* strcpy (strloc, strloc +strlen(chain));*/
                   1533:   }
                   1534:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                   1535:   return out;
                   1536: }
                   1537: 
                   1538: 
1.145     brouard  1539: char *cutl(char *blocc, char *alocc, char *in, char occ)
                   1540: {
1.187     brouard  1541:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard  1542:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.187     brouard  1543:      gives blocc="abcdef" and alocc="ghi2j".
1.145     brouard  1544:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                   1545:   */
1.160     brouard  1546:   char *s, *t;
1.145     brouard  1547:   t=in;s=in;
                   1548:   while ((*in != occ) && (*in != '\0')){
                   1549:     *alocc++ = *in++;
                   1550:   }
                   1551:   if( *in == occ){
                   1552:     *(alocc)='\0';
                   1553:     s=++in;
                   1554:   }
                   1555:  
                   1556:   if (s == t) {/* occ not found */
                   1557:     *(alocc-(in-s))='\0';
                   1558:     in=s;
                   1559:   }
                   1560:   while ( *in != '\0'){
                   1561:     *blocc++ = *in++;
                   1562:   }
                   1563: 
                   1564:   *blocc='\0';
                   1565:   return t;
                   1566: }
1.137     brouard  1567: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1568: {
1.187     brouard  1569:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1570:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1571:      gives blocc="abcdef2ghi" and alocc="j".
                   1572:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1573:   */
                   1574:   char *s, *t;
                   1575:   t=in;s=in;
                   1576:   while (*in != '\0'){
                   1577:     while( *in == occ){
                   1578:       *blocc++ = *in++;
                   1579:       s=in;
                   1580:     }
                   1581:     *blocc++ = *in++;
                   1582:   }
                   1583:   if (s == t) /* occ not found */
                   1584:     *(blocc-(in-s))='\0';
                   1585:   else
                   1586:     *(blocc-(in-s)-1)='\0';
                   1587:   in=s;
                   1588:   while ( *in != '\0'){
                   1589:     *alocc++ = *in++;
                   1590:   }
                   1591: 
                   1592:   *alocc='\0';
                   1593:   return s;
                   1594: }
                   1595: 
1.126     brouard  1596: int nbocc(char *s, char occ)
                   1597: {
                   1598:   int i,j=0;
                   1599:   int lg=20;
                   1600:   i=0;
                   1601:   lg=strlen(s);
                   1602:   for(i=0; i<= lg; i++) {
1.234     brouard  1603:     if  (s[i] == occ ) j++;
1.126     brouard  1604:   }
                   1605:   return j;
                   1606: }
                   1607: 
1.137     brouard  1608: /* void cutv(char *u,char *v, char*t, char occ) */
                   1609: /* { */
                   1610: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1611: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1612: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1613: /*   int i,lg,j,p=0; */
                   1614: /*   i=0; */
                   1615: /*   lg=strlen(t); */
                   1616: /*   for(j=0; j<=lg-1; j++) { */
                   1617: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1618: /*   } */
1.126     brouard  1619: 
1.137     brouard  1620: /*   for(j=0; j<p; j++) { */
                   1621: /*     (u[j] = t[j]); */
                   1622: /*   } */
                   1623: /*      u[p]='\0'; */
1.126     brouard  1624: 
1.137     brouard  1625: /*    for(j=0; j<= lg; j++) { */
                   1626: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1627: /*   } */
                   1628: /* } */
1.126     brouard  1629: 
1.160     brouard  1630: #ifdef _WIN32
                   1631: char * strsep(char **pp, const char *delim)
                   1632: {
                   1633:   char *p, *q;
                   1634:          
                   1635:   if ((p = *pp) == NULL)
                   1636:     return 0;
                   1637:   if ((q = strpbrk (p, delim)) != NULL)
                   1638:   {
                   1639:     *pp = q + 1;
                   1640:     *q = '\0';
                   1641:   }
                   1642:   else
                   1643:     *pp = 0;
                   1644:   return p;
                   1645: }
                   1646: #endif
                   1647: 
1.126     brouard  1648: /********************** nrerror ********************/
                   1649: 
                   1650: void nrerror(char error_text[])
                   1651: {
                   1652:   fprintf(stderr,"ERREUR ...\n");
                   1653:   fprintf(stderr,"%s\n",error_text);
                   1654:   exit(EXIT_FAILURE);
                   1655: }
                   1656: /*********************** vector *******************/
                   1657: double *vector(int nl, int nh)
                   1658: {
                   1659:   double *v;
                   1660:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1661:   if (!v) nrerror("allocation failure in vector");
                   1662:   return v-nl+NR_END;
                   1663: }
                   1664: 
                   1665: /************************ free vector ******************/
                   1666: void free_vector(double*v, int nl, int nh)
                   1667: {
                   1668:   free((FREE_ARG)(v+nl-NR_END));
                   1669: }
                   1670: 
                   1671: /************************ivector *******************************/
                   1672: int *ivector(long nl,long nh)
                   1673: {
                   1674:   int *v;
                   1675:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1676:   if (!v) nrerror("allocation failure in ivector");
                   1677:   return v-nl+NR_END;
                   1678: }
                   1679: 
                   1680: /******************free ivector **************************/
                   1681: void free_ivector(int *v, long nl, long nh)
                   1682: {
                   1683:   free((FREE_ARG)(v+nl-NR_END));
                   1684: }
                   1685: 
                   1686: /************************lvector *******************************/
                   1687: long *lvector(long nl,long nh)
                   1688: {
                   1689:   long *v;
                   1690:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1691:   if (!v) nrerror("allocation failure in ivector");
                   1692:   return v-nl+NR_END;
                   1693: }
                   1694: 
                   1695: /******************free lvector **************************/
                   1696: void free_lvector(long *v, long nl, long nh)
                   1697: {
                   1698:   free((FREE_ARG)(v+nl-NR_END));
                   1699: }
                   1700: 
                   1701: /******************* imatrix *******************************/
                   1702: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1703:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1704: { 
                   1705:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1706:   int **m; 
                   1707:   
                   1708:   /* allocate pointers to rows */ 
                   1709:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1710:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1711:   m += NR_END; 
                   1712:   m -= nrl; 
                   1713:   
                   1714:   
                   1715:   /* allocate rows and set pointers to them */ 
                   1716:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1717:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1718:   m[nrl] += NR_END; 
                   1719:   m[nrl] -= ncl; 
                   1720:   
                   1721:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1722:   
                   1723:   /* return pointer to array of pointers to rows */ 
                   1724:   return m; 
                   1725: } 
                   1726: 
                   1727: /****************** free_imatrix *************************/
                   1728: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1729:       int **m;
                   1730:       long nch,ncl,nrh,nrl; 
                   1731:      /* free an int matrix allocated by imatrix() */ 
                   1732: { 
                   1733:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1734:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1735: } 
                   1736: 
                   1737: /******************* matrix *******************************/
                   1738: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1739: {
                   1740:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1741:   double **m;
                   1742: 
                   1743:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1744:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1745:   m += NR_END;
                   1746:   m -= nrl;
                   1747: 
                   1748:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1749:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1750:   m[nrl] += NR_END;
                   1751:   m[nrl] -= ncl;
                   1752: 
                   1753:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1754:   return m;
1.145     brouard  1755:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1756: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1757: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1758:    */
                   1759: }
                   1760: 
                   1761: /*************************free matrix ************************/
                   1762: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1763: {
                   1764:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1765:   free((FREE_ARG)(m+nrl-NR_END));
                   1766: }
                   1767: 
                   1768: /******************* ma3x *******************************/
                   1769: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1770: {
                   1771:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1772:   double ***m;
                   1773: 
                   1774:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1775:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1776:   m += NR_END;
                   1777:   m -= nrl;
                   1778: 
                   1779:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1780:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1781:   m[nrl] += NR_END;
                   1782:   m[nrl] -= ncl;
                   1783: 
                   1784:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1785: 
                   1786:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1787:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1788:   m[nrl][ncl] += NR_END;
                   1789:   m[nrl][ncl] -= nll;
                   1790:   for (j=ncl+1; j<=nch; j++) 
                   1791:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1792:   
                   1793:   for (i=nrl+1; i<=nrh; i++) {
                   1794:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1795:     for (j=ncl+1; j<=nch; j++) 
                   1796:       m[i][j]=m[i][j-1]+nlay;
                   1797:   }
                   1798:   return m; 
                   1799:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1800:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1801:   */
                   1802: }
                   1803: 
                   1804: /*************************free ma3x ************************/
                   1805: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1806: {
                   1807:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1808:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1809:   free((FREE_ARG)(m+nrl-NR_END));
                   1810: }
                   1811: 
                   1812: /*************** function subdirf ***********/
                   1813: char *subdirf(char fileres[])
                   1814: {
                   1815:   /* Caution optionfilefiname is hidden */
                   1816:   strcpy(tmpout,optionfilefiname);
                   1817:   strcat(tmpout,"/"); /* Add to the right */
                   1818:   strcat(tmpout,fileres);
                   1819:   return tmpout;
                   1820: }
                   1821: 
                   1822: /*************** function subdirf2 ***********/
                   1823: char *subdirf2(char fileres[], char *preop)
                   1824: {
                   1825:   
                   1826:   /* Caution optionfilefiname is hidden */
                   1827:   strcpy(tmpout,optionfilefiname);
                   1828:   strcat(tmpout,"/");
                   1829:   strcat(tmpout,preop);
                   1830:   strcat(tmpout,fileres);
                   1831:   return tmpout;
                   1832: }
                   1833: 
                   1834: /*************** function subdirf3 ***********/
                   1835: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1836: {
                   1837:   
                   1838:   /* Caution optionfilefiname is hidden */
                   1839:   strcpy(tmpout,optionfilefiname);
                   1840:   strcat(tmpout,"/");
                   1841:   strcat(tmpout,preop);
                   1842:   strcat(tmpout,preop2);
                   1843:   strcat(tmpout,fileres);
                   1844:   return tmpout;
                   1845: }
1.213     brouard  1846:  
                   1847: /*************** function subdirfext ***********/
                   1848: char *subdirfext(char fileres[], char *preop, char *postop)
                   1849: {
                   1850:   
                   1851:   strcpy(tmpout,preop);
                   1852:   strcat(tmpout,fileres);
                   1853:   strcat(tmpout,postop);
                   1854:   return tmpout;
                   1855: }
1.126     brouard  1856: 
1.213     brouard  1857: /*************** function subdirfext3 ***********/
                   1858: char *subdirfext3(char fileres[], char *preop, char *postop)
                   1859: {
                   1860:   
                   1861:   /* Caution optionfilefiname is hidden */
                   1862:   strcpy(tmpout,optionfilefiname);
                   1863:   strcat(tmpout,"/");
                   1864:   strcat(tmpout,preop);
                   1865:   strcat(tmpout,fileres);
                   1866:   strcat(tmpout,postop);
                   1867:   return tmpout;
                   1868: }
                   1869:  
1.162     brouard  1870: char *asc_diff_time(long time_sec, char ascdiff[])
                   1871: {
                   1872:   long sec_left, days, hours, minutes;
                   1873:   days = (time_sec) / (60*60*24);
                   1874:   sec_left = (time_sec) % (60*60*24);
                   1875:   hours = (sec_left) / (60*60) ;
                   1876:   sec_left = (sec_left) %(60*60);
                   1877:   minutes = (sec_left) /60;
                   1878:   sec_left = (sec_left) % (60);
                   1879:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1880:   return ascdiff;
                   1881: }
                   1882: 
1.126     brouard  1883: /***************** f1dim *************************/
                   1884: extern int ncom; 
                   1885: extern double *pcom,*xicom;
                   1886: extern double (*nrfunc)(double []); 
                   1887:  
                   1888: double f1dim(double x) 
                   1889: { 
                   1890:   int j; 
                   1891:   double f;
                   1892:   double *xt; 
                   1893:  
                   1894:   xt=vector(1,ncom); 
                   1895:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   1896:   f=(*nrfunc)(xt); 
                   1897:   free_vector(xt,1,ncom); 
                   1898:   return f; 
                   1899: } 
                   1900: 
                   1901: /*****************brent *************************/
                   1902: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  1903: {
                   1904:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   1905:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   1906:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   1907:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   1908:    * returned function value. 
                   1909:   */
1.126     brouard  1910:   int iter; 
                   1911:   double a,b,d,etemp;
1.159     brouard  1912:   double fu=0,fv,fw,fx;
1.164     brouard  1913:   double ftemp=0.;
1.126     brouard  1914:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   1915:   double e=0.0; 
                   1916:  
                   1917:   a=(ax < cx ? ax : cx); 
                   1918:   b=(ax > cx ? ax : cx); 
                   1919:   x=w=v=bx; 
                   1920:   fw=fv=fx=(*f)(x); 
                   1921:   for (iter=1;iter<=ITMAX;iter++) { 
                   1922:     xm=0.5*(a+b); 
                   1923:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   1924:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   1925:     printf(".");fflush(stdout);
                   1926:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  1927: #ifdef DEBUGBRENT
1.126     brouard  1928:     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);
                   1929:     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);
                   1930:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   1931: #endif
                   1932:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   1933:       *xmin=x; 
                   1934:       return fx; 
                   1935:     } 
                   1936:     ftemp=fu;
                   1937:     if (fabs(e) > tol1) { 
                   1938:       r=(x-w)*(fx-fv); 
                   1939:       q=(x-v)*(fx-fw); 
                   1940:       p=(x-v)*q-(x-w)*r; 
                   1941:       q=2.0*(q-r); 
                   1942:       if (q > 0.0) p = -p; 
                   1943:       q=fabs(q); 
                   1944:       etemp=e; 
                   1945:       e=d; 
                   1946:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
1.224     brouard  1947:                                d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
1.126     brouard  1948:       else { 
1.224     brouard  1949:                                d=p/q; 
                   1950:                                u=x+d; 
                   1951:                                if (u-a < tol2 || b-u < tol2) 
                   1952:                                        d=SIGN(tol1,xm-x); 
1.126     brouard  1953:       } 
                   1954:     } else { 
                   1955:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1956:     } 
                   1957:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   1958:     fu=(*f)(u); 
                   1959:     if (fu <= fx) { 
                   1960:       if (u >= x) a=x; else b=x; 
                   1961:       SHFT(v,w,x,u) 
1.183     brouard  1962:       SHFT(fv,fw,fx,fu) 
                   1963:     } else { 
                   1964:       if (u < x) a=u; else b=u; 
                   1965:       if (fu <= fw || w == x) { 
1.224     brouard  1966:                                v=w; 
                   1967:                                w=u; 
                   1968:                                fv=fw; 
                   1969:                                fw=fu; 
1.183     brouard  1970:       } else if (fu <= fv || v == x || v == w) { 
1.224     brouard  1971:                                v=u; 
                   1972:                                fv=fu; 
1.183     brouard  1973:       } 
                   1974:     } 
1.126     brouard  1975:   } 
                   1976:   nrerror("Too many iterations in brent"); 
                   1977:   *xmin=x; 
                   1978:   return fx; 
                   1979: } 
                   1980: 
                   1981: /****************** mnbrak ***********************/
                   1982: 
                   1983: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   1984:            double (*func)(double)) 
1.183     brouard  1985: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   1986: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   1987: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   1988: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   1989:    */
1.126     brouard  1990:   double ulim,u,r,q, dum;
                   1991:   double fu; 
1.187     brouard  1992: 
                   1993:   double scale=10.;
                   1994:   int iterscale=0;
                   1995: 
                   1996:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   1997:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   1998: 
                   1999: 
                   2000:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   2001:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   2002:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   2003:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   2004:   /* } */
                   2005: 
1.126     brouard  2006:   if (*fb > *fa) { 
                   2007:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  2008:     SHFT(dum,*fb,*fa,dum) 
                   2009:   } 
1.126     brouard  2010:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   2011:   *fc=(*func)(*cx); 
1.183     brouard  2012: #ifdef DEBUG
1.224     brouard  2013:   printf("mnbrak0 a=%lf *fa=%lf, b=%lf *fb=%lf, c=%lf *fc=%lf\n",*ax,*fa,*bx,*fb,*cx, *fc);
                   2014:   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  2015: #endif
1.224     brouard  2016:   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  2017:     r=(*bx-*ax)*(*fb-*fc); 
1.224     brouard  2018:     q=(*bx-*cx)*(*fb-*fa); /* What if fa=inf */
1.126     brouard  2019:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  2020:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   2021:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   2022:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  2023:       fu=(*func)(u); 
1.163     brouard  2024: #ifdef DEBUG
                   2025:       /* f(x)=A(x-u)**2+f(u) */
                   2026:       double A, fparabu; 
                   2027:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   2028:       fparabu= *fa - A*(*ax-u)*(*ax-u);
1.224     brouard  2029:       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);
                   2030:       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  2031:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   2032:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   2033:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   2034:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  2035: #endif 
1.184     brouard  2036: #ifdef MNBRAKORIGINAL
1.183     brouard  2037: #else
1.191     brouard  2038: /*       if (fu > *fc) { */
                   2039: /* #ifdef DEBUG */
                   2040: /*       printf("mnbrak4  fu > fc \n"); */
                   2041: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
                   2042: /* #endif */
                   2043: /*     /\* 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 *\\/  *\/ */
                   2044: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
                   2045: /*     dum=u; /\* Shifting c and u *\/ */
                   2046: /*     u = *cx; */
                   2047: /*     *cx = dum; */
                   2048: /*     dum = fu; */
                   2049: /*     fu = *fc; */
                   2050: /*     *fc =dum; */
                   2051: /*       } else { /\* end *\/ */
                   2052: /* #ifdef DEBUG */
                   2053: /*       printf("mnbrak3  fu < fc \n"); */
                   2054: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
                   2055: /* #endif */
                   2056: /*     dum=u; /\* Shifting c and u *\/ */
                   2057: /*     u = *cx; */
                   2058: /*     *cx = dum; */
                   2059: /*     dum = fu; */
                   2060: /*     fu = *fc; */
                   2061: /*     *fc =dum; */
                   2062: /*       } */
1.224     brouard  2063: #ifdef DEBUGMNBRAK
                   2064:                 double A, fparabu; 
                   2065:      A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   2066:      fparabu= *fa - A*(*ax-u)*(*ax-u);
                   2067:      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);
                   2068:      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  2069: #endif
1.191     brouard  2070:       dum=u; /* Shifting c and u */
                   2071:       u = *cx;
                   2072:       *cx = dum;
                   2073:       dum = fu;
                   2074:       fu = *fc;
                   2075:       *fc =dum;
1.183     brouard  2076: #endif
1.162     brouard  2077:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  2078: #ifdef DEBUG
1.224     brouard  2079:       printf("\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
                   2080:       fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
1.183     brouard  2081: #endif
1.126     brouard  2082:       fu=(*func)(u); 
                   2083:       if (fu < *fc) { 
1.183     brouard  2084: #ifdef DEBUG
1.224     brouard  2085:                                printf("\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   2086:                          fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   2087: #endif
                   2088:                          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
                   2089:                                SHFT(*fb,*fc,fu,(*func)(u)) 
                   2090: #ifdef DEBUG
                   2091:                                        printf("\nmnbrak2 shift GOLD c=%lf",*cx+GOLD*(*cx-*bx));
1.183     brouard  2092: #endif
                   2093:       } 
1.162     brouard  2094:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  2095: #ifdef DEBUG
1.224     brouard  2096:       printf("\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
                   2097:       fprintf(ficlog,"\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
1.183     brouard  2098: #endif
1.126     brouard  2099:       u=ulim; 
                   2100:       fu=(*func)(u); 
1.183     brouard  2101:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   2102: #ifdef DEBUG
1.224     brouard  2103:       printf("\nmnbrak2  u=%lf could be left to b=%lf (if r=%lf > q=%lf parabola has a maximum)\n",u,*bx,r,q);
                   2104:       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  2105: #endif
1.126     brouard  2106:       u=(*cx)+GOLD*(*cx-*bx); 
                   2107:       fu=(*func)(u); 
1.224     brouard  2108: #ifdef DEBUG
                   2109:       printf("\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   2110:       fprintf(ficlog,"\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   2111: #endif
1.183     brouard  2112:     } /* end tests */
1.126     brouard  2113:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  2114:     SHFT(*fa,*fb,*fc,fu) 
                   2115: #ifdef DEBUG
1.224     brouard  2116:       printf("\nmnbrak2 shift (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc);
                   2117:       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  2118: #endif
                   2119:   } /* 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  2120: } 
                   2121: 
                   2122: /*************** linmin ************************/
1.162     brouard  2123: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   2124: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   2125: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   2126: the value of func at the returned location p . This is actually all accomplished by calling the
                   2127: routines mnbrak and brent .*/
1.126     brouard  2128: int ncom; 
                   2129: double *pcom,*xicom;
                   2130: double (*nrfunc)(double []); 
                   2131:  
1.224     brouard  2132: #ifdef LINMINORIGINAL
1.126     brouard  2133: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
1.224     brouard  2134: #else
                   2135: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []), int *flat) 
                   2136: #endif
1.126     brouard  2137: { 
                   2138:   double brent(double ax, double bx, double cx, 
                   2139:               double (*f)(double), double tol, double *xmin); 
                   2140:   double f1dim(double x); 
                   2141:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   2142:              double *fc, double (*func)(double)); 
                   2143:   int j; 
                   2144:   double xx,xmin,bx,ax; 
                   2145:   double fx,fb,fa;
1.187     brouard  2146: 
1.203     brouard  2147: #ifdef LINMINORIGINAL
                   2148: #else
                   2149:   double scale=10., axs, xxs; /* Scale added for infinity */
                   2150: #endif
                   2151:   
1.126     brouard  2152:   ncom=n; 
                   2153:   pcom=vector(1,n); 
                   2154:   xicom=vector(1,n); 
                   2155:   nrfunc=func; 
                   2156:   for (j=1;j<=n;j++) { 
                   2157:     pcom[j]=p[j]; 
1.202     brouard  2158:     xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
1.126     brouard  2159:   } 
1.187     brouard  2160: 
1.203     brouard  2161: #ifdef LINMINORIGINAL
                   2162:   xx=1.;
                   2163: #else
                   2164:   axs=0.0;
                   2165:   xxs=1.;
                   2166:   do{
                   2167:     xx= xxs;
                   2168: #endif
1.187     brouard  2169:     ax=0.;
                   2170:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   2171:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   2172:     /* 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))   */
                   2173:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   2174:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   2175:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   2176:     /* 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  2177: #ifdef LINMINORIGINAL
                   2178: #else
                   2179:     if (fx != fx){
1.224     brouard  2180:                        xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                   2181:                        printf("|");
                   2182:                        fprintf(ficlog,"|");
1.203     brouard  2183: #ifdef DEBUGLINMIN
1.224     brouard  2184:                        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  2185: #endif
                   2186:     }
1.224     brouard  2187:   }while(fx != fx && xxs > 1.e-5);
1.203     brouard  2188: #endif
                   2189:   
1.191     brouard  2190: #ifdef DEBUGLINMIN
                   2191:   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  2192:   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  2193: #endif
1.224     brouard  2194: #ifdef LINMINORIGINAL
                   2195: #else
                   2196:        if(fb == fx){ /* Flat function in the direction */
                   2197:                xmin=xx;
                   2198:     *flat=1;
                   2199:        }else{
                   2200:     *flat=0;
                   2201: #endif
                   2202:                /*Flat mnbrak2 shift (*ax=0.000000000000, *fa=51626.272983130431), (*bx=-1.618034000000, *fb=51590.149499362531), (*cx=-4.236068025156, *fc=51590.149499362531) */
1.187     brouard  2203:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   2204:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   2205:   /* fmin = f(p[j] + xmin * xi[j]) */
                   2206:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   2207:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  2208: #ifdef DEBUG
1.224     brouard  2209:   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);
                   2210:   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);
                   2211: #endif
                   2212: #ifdef LINMINORIGINAL
                   2213: #else
                   2214:                        }
1.126     brouard  2215: #endif
1.191     brouard  2216: #ifdef DEBUGLINMIN
                   2217:   printf("linmin end ");
1.202     brouard  2218:   fprintf(ficlog,"linmin end ");
1.191     brouard  2219: #endif
1.126     brouard  2220:   for (j=1;j<=n;j++) { 
1.203     brouard  2221: #ifdef LINMINORIGINAL
                   2222:     xi[j] *= xmin; 
                   2223: #else
                   2224: #ifdef DEBUGLINMIN
                   2225:     if(xxs <1.0)
                   2226:       printf(" before xi[%d]=%12.8f", j,xi[j]);
                   2227: #endif
                   2228:     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) */
                   2229: #ifdef DEBUGLINMIN
                   2230:     if(xxs <1.0)
                   2231:       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 );
                   2232: #endif
                   2233: #endif
1.187     brouard  2234:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  2235:   } 
1.191     brouard  2236: #ifdef DEBUGLINMIN
1.203     brouard  2237:   printf("\n");
1.191     brouard  2238:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
1.202     brouard  2239:   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  2240:   for (j=1;j<=n;j++) { 
1.202     brouard  2241:     printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   2242:     fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   2243:     if(j % ncovmodel == 0){
1.191     brouard  2244:       printf("\n");
1.202     brouard  2245:       fprintf(ficlog,"\n");
                   2246:     }
1.191     brouard  2247:   }
1.203     brouard  2248: #else
1.191     brouard  2249: #endif
1.126     brouard  2250:   free_vector(xicom,1,n); 
                   2251:   free_vector(pcom,1,n); 
                   2252: } 
                   2253: 
                   2254: 
                   2255: /*************** powell ************************/
1.162     brouard  2256: /*
                   2257: Minimization of a function func of n variables. Input consists of an initial starting point
                   2258: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
                   2259: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
                   2260: such that failure to decrease by more than this amount on one iteration signals doneness. On
                   2261: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   2262: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   2263:  */
1.224     brouard  2264: #ifdef LINMINORIGINAL
                   2265: #else
                   2266:        int *flatdir; /* Function is vanishing in that direction */
1.225     brouard  2267:        int flat=0, flatd=0; /* Function is vanishing in that direction */
1.224     brouard  2268: #endif
1.126     brouard  2269: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   2270:            double (*func)(double [])) 
                   2271: { 
1.224     brouard  2272: #ifdef LINMINORIGINAL
                   2273:  void linmin(double p[], double xi[], int n, double *fret, 
1.126     brouard  2274:              double (*func)(double [])); 
1.224     brouard  2275: #else 
1.241     brouard  2276:  void linmin(double p[], double xi[], int n, double *fret,
                   2277:             double (*func)(double []),int *flat); 
1.224     brouard  2278: #endif
1.239     brouard  2279:  int i,ibig,j,jk,k; 
1.126     brouard  2280:   double del,t,*pt,*ptt,*xit;
1.181     brouard  2281:   double directest;
1.126     brouard  2282:   double fp,fptt;
                   2283:   double *xits;
                   2284:   int niterf, itmp;
1.224     brouard  2285: #ifdef LINMINORIGINAL
                   2286: #else
                   2287: 
                   2288:   flatdir=ivector(1,n); 
                   2289:   for (j=1;j<=n;j++) flatdir[j]=0; 
                   2290: #endif
1.126     brouard  2291: 
                   2292:   pt=vector(1,n); 
                   2293:   ptt=vector(1,n); 
                   2294:   xit=vector(1,n); 
                   2295:   xits=vector(1,n); 
                   2296:   *fret=(*func)(p); 
                   2297:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.202     brouard  2298:   rcurr_time = time(NULL);  
1.126     brouard  2299:   for (*iter=1;;++(*iter)) { 
1.187     brouard  2300:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  2301:     ibig=0; 
                   2302:     del=0.0; 
1.157     brouard  2303:     rlast_time=rcurr_time;
                   2304:     /* (void) gettimeofday(&curr_time,&tzp); */
                   2305:     rcurr_time = time(NULL);  
                   2306:     curr_time = *localtime(&rcurr_time);
                   2307:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   2308:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   2309: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.192     brouard  2310:     for (i=1;i<=n;i++) {
1.126     brouard  2311:       fprintf(ficrespow," %.12lf", p[i]);
                   2312:     }
1.239     brouard  2313:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   2314:     printf("\n#model=  1      +     age ");
                   2315:     fprintf(ficlog,"\n#model=  1      +     age ");
                   2316:     if(nagesqr==1){
1.241     brouard  2317:        printf("  + age*age  ");
                   2318:        fprintf(ficlog,"  + age*age  ");
1.239     brouard  2319:     }
                   2320:     for(j=1;j <=ncovmodel-2;j++){
                   2321:       if(Typevar[j]==0) {
                   2322:        printf("  +      V%d  ",Tvar[j]);
                   2323:        fprintf(ficlog,"  +      V%d  ",Tvar[j]);
                   2324:       }else if(Typevar[j]==1) {
                   2325:        printf("  +    V%d*age ",Tvar[j]);
                   2326:        fprintf(ficlog,"  +    V%d*age ",Tvar[j]);
                   2327:       }else if(Typevar[j]==2) {
                   2328:        printf("  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   2329:        fprintf(ficlog,"  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   2330:       }
                   2331:     }
1.126     brouard  2332:     printf("\n");
1.239     brouard  2333: /*     printf("12   47.0114589    0.0154322   33.2424412    0.3279905    2.3731903  */
                   2334: /* 13  -21.5392400    0.1118147    1.2680506    1.2973408   -1.0663662  */
1.126     brouard  2335:     fprintf(ficlog,"\n");
1.239     brouard  2336:     for(i=1,jk=1; i <=nlstate; i++){
                   2337:       for(k=1; k <=(nlstate+ndeath); k++){
                   2338:        if (k != i) {
                   2339:          printf("%d%d ",i,k);
                   2340:          fprintf(ficlog,"%d%d ",i,k);
                   2341:          for(j=1; j <=ncovmodel; j++){
                   2342:            printf("%12.7f ",p[jk]);
                   2343:            fprintf(ficlog,"%12.7f ",p[jk]);
                   2344:            jk++; 
                   2345:          }
                   2346:          printf("\n");
                   2347:          fprintf(ficlog,"\n");
                   2348:        }
                   2349:       }
                   2350:     }
1.241     brouard  2351:     if(*iter <=3 && *iter >1){
1.157     brouard  2352:       tml = *localtime(&rcurr_time);
                   2353:       strcpy(strcurr,asctime(&tml));
                   2354:       rforecast_time=rcurr_time; 
1.126     brouard  2355:       itmp = strlen(strcurr);
                   2356:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
1.241     brouard  2357:        strcurr[itmp-1]='\0';
1.162     brouard  2358:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  2359:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  2360:       for(niterf=10;niterf<=30;niterf+=10){
1.241     brouard  2361:        rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   2362:        forecast_time = *localtime(&rforecast_time);
                   2363:        strcpy(strfor,asctime(&forecast_time));
                   2364:        itmp = strlen(strfor);
                   2365:        if(strfor[itmp-1]=='\n')
                   2366:          strfor[itmp-1]='\0';
                   2367:        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);
                   2368:        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  2369:       }
                   2370:     }
1.187     brouard  2371:     for (i=1;i<=n;i++) { /* For each direction i */
                   2372:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  2373:       fptt=(*fret); 
                   2374: #ifdef DEBUG
1.203     brouard  2375:       printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   2376:       fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  2377: #endif
1.203     brouard  2378:       printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  2379:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.224     brouard  2380: #ifdef LINMINORIGINAL
1.188     brouard  2381:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
1.224     brouard  2382: #else
                   2383:       linmin(p,xit,n,fret,func,&flat); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   2384:                        flatdir[i]=flat; /* Function is vanishing in that direction i */
                   2385: #endif
                   2386:                        /* Outputs are fret(new point p) p is updated and xit rescaled */
1.188     brouard  2387:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
1.224     brouard  2388:                                /* because that direction will be replaced unless the gain del is small */
                   2389:                                /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   2390:                                /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   2391:                                /* with the new direction. */
                   2392:                                del=fabs(fptt-(*fret)); 
                   2393:                                ibig=i; 
1.126     brouard  2394:       } 
                   2395: #ifdef DEBUG
                   2396:       printf("%d %.12e",i,(*fret));
                   2397:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   2398:       for (j=1;j<=n;j++) {
1.224     brouard  2399:                                xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   2400:                                printf(" x(%d)=%.12e",j,xit[j]);
                   2401:                                fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
1.126     brouard  2402:       }
                   2403:       for(j=1;j<=n;j++) {
1.225     brouard  2404:                                printf(" p(%d)=%.12e",j,p[j]);
                   2405:                                fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  2406:       }
                   2407:       printf("\n");
                   2408:       fprintf(ficlog,"\n");
                   2409: #endif
1.187     brouard  2410:     } /* end loop on each direction i */
                   2411:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  2412:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  2413:     /* New value of last point Pn is not computed, P(n-1) */
1.224     brouard  2414:       for(j=1;j<=n;j++) {
1.225     brouard  2415:                                if(flatdir[j] >0){
                   2416:                                        printf(" p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2417:                                        fprintf(ficlog," p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2418:                                }
                   2419:                                /* printf("\n"); */
                   2420:                                /* fprintf(ficlog,"\n"); */
                   2421:                        }
1.243     brouard  2422:     /* if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /\* Did we reach enough precision? *\/ */
                   2423:     if (2.0*fabs(fp-(*fret)) <= ftol) { /* Did we reach enough precision? */
1.188     brouard  2424:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   2425:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   2426:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   2427:       /* decreased of more than 3.84  */
                   2428:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   2429:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   2430:       /* By adding 10 parameters more the gain should be 18.31 */
1.224     brouard  2431:                        
1.188     brouard  2432:       /* Starting the program with initial values given by a former maximization will simply change */
                   2433:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   2434:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   2435:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  2436: #ifdef DEBUG
                   2437:       int k[2],l;
                   2438:       k[0]=1;
                   2439:       k[1]=-1;
                   2440:       printf("Max: %.12e",(*func)(p));
                   2441:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   2442:       for (j=1;j<=n;j++) {
                   2443:        printf(" %.12e",p[j]);
                   2444:        fprintf(ficlog," %.12e",p[j]);
                   2445:       }
                   2446:       printf("\n");
                   2447:       fprintf(ficlog,"\n");
                   2448:       for(l=0;l<=1;l++) {
                   2449:        for (j=1;j<=n;j++) {
                   2450:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   2451:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2452:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2453:        }
                   2454:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2455:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2456:       }
                   2457: #endif
                   2458: 
1.224     brouard  2459: #ifdef LINMINORIGINAL
                   2460: #else
                   2461:       free_ivector(flatdir,1,n); 
                   2462: #endif
1.126     brouard  2463:       free_vector(xit,1,n); 
                   2464:       free_vector(xits,1,n); 
                   2465:       free_vector(ptt,1,n); 
                   2466:       free_vector(pt,1,n); 
                   2467:       return; 
1.192     brouard  2468:     } /* enough precision */ 
1.240     brouard  2469:     if (*iter == ITMAX*n) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  2470:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  2471:       ptt[j]=2.0*p[j]-pt[j]; 
                   2472:       xit[j]=p[j]-pt[j]; 
                   2473:       pt[j]=p[j]; 
                   2474:     } 
1.181     brouard  2475:     fptt=(*func)(ptt); /* f_3 */
1.224     brouard  2476: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
                   2477:                if (*iter <=4) {
1.225     brouard  2478: #else
                   2479: #endif
1.224     brouard  2480: #ifdef POWELLNOF3INFF1TEST    /* skips test F3 <F1 */
1.192     brouard  2481: #else
1.161     brouard  2482:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.192     brouard  2483: #endif
1.162     brouard  2484:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  2485:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  2486:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   2487:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   2488:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.224     brouard  2489:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del or directest <0 */
                   2490:       /* also  lamda^2=(f1-f2)^2/mu² is a parasite solution of powell */
                   2491:       /* For powell, inclusion of this average direction is only if t(del)<0 or del inbetween mu^2 and lambda^2 */
1.161     brouard  2492:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.224     brouard  2493:       /*  Even if f3 <f1, directest can be negative and t >0 */
                   2494:       /* mu² and del² are equal when f3=f1 */
                   2495:                        /* f3 < f1 : mu² < del <= lambda^2 both test are equivalent */
                   2496:                        /* f3 < f1 : mu² < lambda^2 < del then directtest is negative and powell t is positive */
                   2497:                        /* f3 > f1 : lambda² < mu^2 < del then t is negative and directest >0  */
                   2498:                        /* f3 > f1 : lambda² < del < mu^2 then t is positive and directest >0  */
1.183     brouard  2499: #ifdef NRCORIGINAL
                   2500:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   2501: #else
                   2502:       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  2503:       t= t- del*SQR(fp-fptt);
1.183     brouard  2504: #endif
1.202     brouard  2505:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
1.161     brouard  2506: #ifdef DEBUG
1.181     brouard  2507:       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);
                   2508:       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  2509:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2510:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2511:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2512:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2513:       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);
                   2514:       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);
                   2515: #endif
1.183     brouard  2516: #ifdef POWELLORIGINAL
                   2517:       if (t < 0.0) { /* Then we use it for new direction */
                   2518: #else
1.182     brouard  2519:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.224     brouard  2520:                                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  2521:         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  2522:         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  2523:         fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   2524:       } 
1.181     brouard  2525:       if (directest < 0.0) { /* Then we use it for new direction */
                   2526: #endif
1.191     brouard  2527: #ifdef DEBUGLINMIN
1.234     brouard  2528:        printf("Before linmin in direction P%d-P0\n",n);
                   2529:        for (j=1;j<=n;j++) {
                   2530:          printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2531:          fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2532:          if(j % ncovmodel == 0){
                   2533:            printf("\n");
                   2534:            fprintf(ficlog,"\n");
                   2535:          }
                   2536:        }
1.224     brouard  2537: #endif
                   2538: #ifdef LINMINORIGINAL
1.234     brouard  2539:        linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
1.224     brouard  2540: #else
1.234     brouard  2541:        linmin(p,xit,n,fret,func,&flat); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                   2542:        flatdir[i]=flat; /* Function is vanishing in that direction i */
1.191     brouard  2543: #endif
1.234     brouard  2544:        
1.191     brouard  2545: #ifdef DEBUGLINMIN
1.234     brouard  2546:        for (j=1;j<=n;j++) { 
                   2547:          printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2548:          fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2549:          if(j % ncovmodel == 0){
                   2550:            printf("\n");
                   2551:            fprintf(ficlog,"\n");
                   2552:          }
                   2553:        }
1.224     brouard  2554: #endif
1.234     brouard  2555:        for (j=1;j<=n;j++) { 
                   2556:          xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   2557:          xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
                   2558:        }
1.224     brouard  2559: #ifdef LINMINORIGINAL
                   2560: #else
1.234     brouard  2561:        for (j=1, flatd=0;j<=n;j++) {
                   2562:          if(flatdir[j]>0)
                   2563:            flatd++;
                   2564:        }
                   2565:        if(flatd >0){
1.255     brouard  2566:          printf("%d flat directions: ",flatd);
                   2567:          fprintf(ficlog,"%d flat directions :",flatd);
1.234     brouard  2568:          for (j=1;j<=n;j++) { 
                   2569:            if(flatdir[j]>0){
                   2570:              printf("%d ",j);
                   2571:              fprintf(ficlog,"%d ",j);
                   2572:            }
                   2573:          }
                   2574:          printf("\n");
                   2575:          fprintf(ficlog,"\n");
                   2576:        }
1.191     brouard  2577: #endif
1.234     brouard  2578:        printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2579:        fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2580:        
1.126     brouard  2581: #ifdef DEBUG
1.234     brouard  2582:        printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2583:        fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2584:        for(j=1;j<=n;j++){
                   2585:          printf(" %lf",xit[j]);
                   2586:          fprintf(ficlog," %lf",xit[j]);
                   2587:        }
                   2588:        printf("\n");
                   2589:        fprintf(ficlog,"\n");
1.126     brouard  2590: #endif
1.192     brouard  2591:       } /* end of t or directest negative */
1.224     brouard  2592: #ifdef POWELLNOF3INFF1TEST
1.192     brouard  2593: #else
1.234     brouard  2594:       } /* end if (fptt < fp)  */
1.192     brouard  2595: #endif
1.225     brouard  2596: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
1.234     brouard  2597:     } /*NODIRECTIONCHANGEDUNTILNITER  No change in drections until some iterations are done */
1.225     brouard  2598: #else
1.224     brouard  2599: #endif
1.234     brouard  2600:                } /* loop iteration */ 
1.126     brouard  2601: } 
1.234     brouard  2602:   
1.126     brouard  2603: /**** Prevalence limit (stable or period prevalence)  ****************/
1.234     brouard  2604:   
1.235     brouard  2605:   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  2606:   {
1.279     brouard  2607:     /**< Computes the prevalence limit in each live state at age x and for covariate combination ij 
                   2608:      *   (and selected quantitative values in nres)
                   2609:      *  by left multiplying the unit
                   2610:      *  matrix by transitions matrix until convergence is reached with precision ftolpl 
                   2611:      * Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I
                   2612:      * Wx is row vector: population in state 1, population in state 2, population dead
                   2613:      * or prevalence in state 1, prevalence in state 2, 0
                   2614:      * newm is the matrix after multiplications, its rows are identical at a factor.
                   2615:      * Inputs are the parameter, age, a tolerance for the prevalence limit ftolpl.
                   2616:      * Output is prlim.
                   2617:      * Initial matrix pimij 
                   2618:      */
1.206     brouard  2619:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2620:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2621:   /*  0,                   0                  , 1} */
                   2622:   /*
                   2623:    * and after some iteration: */
                   2624:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2625:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2626:   /*  0,                   0                  , 1} */
                   2627:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2628:   /* {0.51571254859325999, 0.4842874514067399, */
                   2629:   /*  0.51326036147820708, 0.48673963852179264} */
                   2630:   /* If we start from prlim again, prlim tends to a constant matrix */
1.234     brouard  2631:     
1.126     brouard  2632:   int i, ii,j,k;
1.209     brouard  2633:   double *min, *max, *meandiff, maxmax,sumnew=0.;
1.145     brouard  2634:   /* double **matprod2(); */ /* test */
1.218     brouard  2635:   double **out, cov[NCOVMAX+1], **pmij(); /* **pmmij is a global variable feeded with oldms etc */
1.126     brouard  2636:   double **newm;
1.209     brouard  2637:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
1.203     brouard  2638:   int ncvloop=0;
1.288     brouard  2639:   int first=0;
1.169     brouard  2640:   
1.209     brouard  2641:   min=vector(1,nlstate);
                   2642:   max=vector(1,nlstate);
                   2643:   meandiff=vector(1,nlstate);
                   2644: 
1.218     brouard  2645:        /* Starting with matrix unity */
1.126     brouard  2646:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2647:     for (j=1;j<=nlstate+ndeath;j++){
                   2648:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2649:     }
1.169     brouard  2650:   
                   2651:   cov[1]=1.;
                   2652:   
                   2653:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.202     brouard  2654:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.126     brouard  2655:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
1.202     brouard  2656:     ncvloop++;
1.126     brouard  2657:     newm=savm;
                   2658:     /* Covariates have to be included here again */
1.138     brouard  2659:     cov[2]=agefin;
1.187     brouard  2660:     if(nagesqr==1)
                   2661:       cov[3]= agefin*agefin;;
1.234     brouard  2662:     for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   2663:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   2664:       cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
1.235     brouard  2665:       /* 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  2666:     }
                   2667:     for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   2668:                        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
1.235     brouard  2669:       cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   2670:       /* 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  2671:     }
1.237     brouard  2672:     for (k=1; k<=cptcovage;k++){  /* For product with age */
1.234     brouard  2673:       if(Dummy[Tvar[Tage[k]]]){
                   2674:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2675:       } else{
1.235     brouard  2676:        cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
1.234     brouard  2677:       }
1.235     brouard  2678:       /* 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  2679:     }
1.237     brouard  2680:     for (k=1; k<=cptcovprod;k++){ /* For product without age */
1.235     brouard  2681:       /* 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  2682:       if(Dummy[Tvard[k][1]==0]){
                   2683:        if(Dummy[Tvard[k][2]==0]){
                   2684:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2685:        }else{
                   2686:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k];
                   2687:        }
                   2688:       }else{
                   2689:        if(Dummy[Tvard[k][2]==0]){
                   2690:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]];
                   2691:        }else{
                   2692:          cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]];
                   2693:        }
                   2694:       }
1.234     brouard  2695:     }
1.138     brouard  2696:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2697:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2698:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  2699:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2700:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2701:                /* age and covariate values of ij are in 'cov' */
1.142     brouard  2702:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  2703:     
1.126     brouard  2704:     savm=oldm;
                   2705:     oldm=newm;
1.209     brouard  2706: 
                   2707:     for(j=1; j<=nlstate; j++){
                   2708:       max[j]=0.;
                   2709:       min[j]=1.;
                   2710:     }
                   2711:     for(i=1;i<=nlstate;i++){
                   2712:       sumnew=0;
                   2713:       for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   2714:       for(j=1; j<=nlstate; j++){ 
                   2715:        prlim[i][j]= newm[i][j]/(1-sumnew);
                   2716:        max[j]=FMAX(max[j],prlim[i][j]);
                   2717:        min[j]=FMIN(min[j],prlim[i][j]);
                   2718:       }
                   2719:     }
                   2720: 
1.126     brouard  2721:     maxmax=0.;
1.209     brouard  2722:     for(j=1; j<=nlstate; j++){
                   2723:       meandiff[j]=(max[j]-min[j])/(max[j]+min[j])*2.; /* mean difference for each column */
                   2724:       maxmax=FMAX(maxmax,meandiff[j]);
                   2725:       /* 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  2726:     } /* j loop */
1.203     brouard  2727:     *ncvyear= (int)age- (int)agefin;
1.208     brouard  2728:     /* 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  2729:     if(maxmax < ftolpl){
1.209     brouard  2730:       /* printf("maxmax=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
                   2731:       free_vector(min,1,nlstate);
                   2732:       free_vector(max,1,nlstate);
                   2733:       free_vector(meandiff,1,nlstate);
1.126     brouard  2734:       return prlim;
                   2735:     }
1.288     brouard  2736:   } /* agefin loop */
1.208     brouard  2737:     /* After some age loop it doesn't converge */
1.288     brouard  2738:   if(!first){
                   2739:     first=1;
                   2740:     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);
                   2741:   }
                   2742:   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);
                   2743: 
1.209     brouard  2744:   /* 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); */
                   2745:   free_vector(min,1,nlstate);
                   2746:   free_vector(max,1,nlstate);
                   2747:   free_vector(meandiff,1,nlstate);
1.208     brouard  2748:   
1.169     brouard  2749:   return prlim; /* should not reach here */
1.126     brouard  2750: }
                   2751: 
1.217     brouard  2752: 
                   2753:  /**** Back Prevalence limit (stable or period prevalence)  ****************/
                   2754: 
1.218     brouard  2755:  /* 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) */
                   2756:  /* 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  2757:   double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ftolpl, int *ncvyear, int ij, int nres)
1.217     brouard  2758: {
1.264     brouard  2759:   /* 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  2760:      matrix by transitions matrix until convergence is reached with precision ftolpl */
                   2761:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2762:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2763:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2764:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2765:   /* Initial matrix pimij */
                   2766:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2767:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2768:   /*  0,                   0                  , 1} */
                   2769:   /*
                   2770:    * and after some iteration: */
                   2771:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2772:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2773:   /*  0,                   0                  , 1} */
                   2774:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2775:   /* {0.51571254859325999, 0.4842874514067399, */
                   2776:   /*  0.51326036147820708, 0.48673963852179264} */
                   2777:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2778: 
                   2779:   int i, ii,j,k;
1.247     brouard  2780:   int first=0;
1.217     brouard  2781:   double *min, *max, *meandiff, maxmax,sumnew=0.;
                   2782:   /* double **matprod2(); */ /* test */
                   2783:   double **out, cov[NCOVMAX+1], **bmij();
                   2784:   double **newm;
1.218     brouard  2785:   double        **dnewm, **doldm, **dsavm;  /* for use */
                   2786:   double        **oldm, **savm;  /* for use */
                   2787: 
1.217     brouard  2788:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
                   2789:   int ncvloop=0;
                   2790:   
                   2791:   min=vector(1,nlstate);
                   2792:   max=vector(1,nlstate);
                   2793:   meandiff=vector(1,nlstate);
                   2794: 
1.266     brouard  2795:   dnewm=ddnewms; doldm=ddoldms; dsavm=ddsavms;
                   2796:   oldm=oldms; savm=savms;
                   2797:   
                   2798:   /* Starting with matrix unity */
                   2799:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2800:     for (j=1;j<=nlstate+ndeath;j++){
1.217     brouard  2801:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2802:     }
                   2803:   
                   2804:   cov[1]=1.;
                   2805:   
                   2806:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2807:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.218     brouard  2808:   /* for(agefin=age+stepm/YEARM; agefin<=age+delaymax; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
1.288     brouard  2809:   /* for(agefin=age; agefin<AGESUP; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
                   2810:   for(agefin=age; agefin<FMIN(AGESUP,age+delaymax); agefin=agefin+stepm/YEARM){ /* A changer en age */
1.217     brouard  2811:     ncvloop++;
1.218     brouard  2812:     newm=savm; /* oldm should be kept from previous iteration or unity at start */
                   2813:                /* newm points to the allocated table savm passed by the function it can be written, savm could be reallocated */
1.217     brouard  2814:     /* Covariates have to be included here again */
                   2815:     cov[2]=agefin;
                   2816:     if(nagesqr==1)
                   2817:       cov[3]= agefin*agefin;;
1.242     brouard  2818:     for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   2819:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   2820:       cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
1.264     brouard  2821:       /* 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  2822:     }
                   2823:     /* for (k=1; k<=cptcovn;k++) { */
                   2824:     /*   /\* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; *\/ */
                   2825:     /*   cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   2826:     /*   /\* 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])]); *\/ */
                   2827:     /* } */
                   2828:     for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   2829:                        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   2830:       cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   2831:       /* 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]); */
                   2832:     }
                   2833:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2]; */
                   2834:     /* for (k=1; k<=cptcovprod;k++) /\* Useless *\/ */
                   2835:     /*   /\* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; *\/ */
                   2836:     /*   cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)]; */
                   2837:     for (k=1; k<=cptcovage;k++){  /* For product with age */
                   2838:       if(Dummy[Tvar[Tage[k]]]){
                   2839:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2840:       } else{
                   2841:        cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   2842:       }
                   2843:       /* 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]); */
                   2844:     }
                   2845:     for (k=1; k<=cptcovprod;k++){ /* For product without age */
                   2846:       /* 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]); */
                   2847:       if(Dummy[Tvard[k][1]==0]){
                   2848:        if(Dummy[Tvard[k][2]==0]){
                   2849:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2850:        }else{
                   2851:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k];
                   2852:        }
                   2853:       }else{
                   2854:        if(Dummy[Tvard[k][2]==0]){
                   2855:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]];
                   2856:        }else{
                   2857:          cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]];
                   2858:        }
                   2859:       }
1.217     brouard  2860:     }
                   2861:     
                   2862:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2863:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2864:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
                   2865:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2866:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2867:                /* ij should be linked to the correct index of cov */
                   2868:                /* age and covariate values ij are in 'cov', but we need to pass
                   2869:                 * ij for the observed prevalence at age and status and covariate
                   2870:                 * number:  prevacurrent[(int)agefin][ii][ij]
                   2871:                 */
                   2872:     /* 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 *\/ */
                   2873:     /* 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 *\/ */
                   2874:     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  2875:     /* if((int)age == 86 || (int)age == 87){ */
1.266     brouard  2876:     /*   printf(" Backward prevalim age=%d agefin=%d \n", (int) age, (int) agefin); */
                   2877:     /*   for(i=1; i<=nlstate+ndeath; i++) { */
                   2878:     /*         printf("%d newm= ",i); */
                   2879:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2880:     /*           printf("%f ",newm[i][j]); */
                   2881:     /*         } */
                   2882:     /*         printf("oldm * "); */
                   2883:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2884:     /*           printf("%f ",oldm[i][j]); */
                   2885:     /*         } */
1.268     brouard  2886:     /*         printf(" bmmij "); */
1.266     brouard  2887:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2888:     /*           printf("%f ",pmmij[i][j]); */
                   2889:     /*         } */
                   2890:     /*         printf("\n"); */
                   2891:     /*   } */
                   2892:     /* } */
1.217     brouard  2893:     savm=oldm;
                   2894:     oldm=newm;
1.266     brouard  2895: 
1.217     brouard  2896:     for(j=1; j<=nlstate; j++){
                   2897:       max[j]=0.;
                   2898:       min[j]=1.;
                   2899:     }
                   2900:     for(j=1; j<=nlstate; j++){ 
                   2901:       for(i=1;i<=nlstate;i++){
1.234     brouard  2902:        /* bprlim[i][j]= newm[i][j]/(1-sumnew); */
                   2903:        bprlim[i][j]= newm[i][j];
                   2904:        max[i]=FMAX(max[i],bprlim[i][j]); /* Max in line */
                   2905:        min[i]=FMIN(min[i],bprlim[i][j]);
1.217     brouard  2906:       }
                   2907:     }
1.218     brouard  2908:                
1.217     brouard  2909:     maxmax=0.;
                   2910:     for(i=1; i<=nlstate; i++){
                   2911:       meandiff[i]=(max[i]-min[i])/(max[i]+min[i])*2.; /* mean difference for each column */
                   2912:       maxmax=FMAX(maxmax,meandiff[i]);
                   2913:       /* 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  2914:     } /* i loop */
1.217     brouard  2915:     *ncvyear= -( (int)age- (int)agefin);
1.268     brouard  2916:     /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  2917:     if(maxmax < ftolpl){
1.220     brouard  2918:       /* printf("OK Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  2919:       free_vector(min,1,nlstate);
                   2920:       free_vector(max,1,nlstate);
                   2921:       free_vector(meandiff,1,nlstate);
                   2922:       return bprlim;
                   2923:     }
1.288     brouard  2924:   } /* agefin loop */
1.217     brouard  2925:     /* After some age loop it doesn't converge */
1.288     brouard  2926:   if(!first){
1.247     brouard  2927:     first=1;
                   2928:     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\
                   2929: 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);
                   2930:   }
                   2931:   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  2932: 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);
                   2933:   /* 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); */
                   2934:   free_vector(min,1,nlstate);
                   2935:   free_vector(max,1,nlstate);
                   2936:   free_vector(meandiff,1,nlstate);
                   2937:   
                   2938:   return bprlim; /* should not reach here */
                   2939: }
                   2940: 
1.126     brouard  2941: /*************** transition probabilities ***************/ 
                   2942: 
                   2943: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   2944: {
1.138     brouard  2945:   /* According to parameters values stored in x and the covariate's values stored in cov,
1.266     brouard  2946:      computes the probability to be observed in state j (after stepm years) being in state i by appying the
1.138     brouard  2947:      model to the ncovmodel covariates (including constant and age).
                   2948:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2949:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2950:      ncth covariate in the global vector x is given by the formula:
                   2951:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2952:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2953:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2954:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
1.266     brouard  2955:      Outputs ps[i][j] or probability to be observed in j being in i according to
1.138     brouard  2956:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
1.266     brouard  2957:      Sum on j ps[i][j] should equal to 1.
1.138     brouard  2958:   */
                   2959:   double s1, lnpijopii;
1.126     brouard  2960:   /*double t34;*/
1.164     brouard  2961:   int i,j, nc, ii, jj;
1.126     brouard  2962: 
1.223     brouard  2963:   for(i=1; i<= nlstate; i++){
                   2964:     for(j=1; j<i;j++){
                   2965:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2966:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   2967:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   2968:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2969:       }
                   2970:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2971:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2972:     }
                   2973:     for(j=i+1; j<=nlstate+ndeath;j++){
                   2974:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2975:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   2976:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   2977:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   2978:       }
                   2979:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2980:     }
                   2981:   }
1.218     brouard  2982:   
1.223     brouard  2983:   for(i=1; i<= nlstate; i++){
                   2984:     s1=0;
                   2985:     for(j=1; j<i; j++){
                   2986:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2987:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2988:     }
                   2989:     for(j=i+1; j<=nlstate+ndeath; j++){
                   2990:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2991:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2992:     }
                   2993:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   2994:     ps[i][i]=1./(s1+1.);
                   2995:     /* Computing other pijs */
                   2996:     for(j=1; j<i; j++)
                   2997:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2998:     for(j=i+1; j<=nlstate+ndeath; j++)
                   2999:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3000:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   3001:   } /* end i */
1.218     brouard  3002:   
1.223     brouard  3003:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   3004:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   3005:       ps[ii][jj]=0;
                   3006:       ps[ii][ii]=1;
                   3007:     }
                   3008:   }
1.294     brouard  3009: 
                   3010: 
1.223     brouard  3011:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   3012:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   3013:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   3014:   /*   } */
                   3015:   /*   printf("\n "); */
                   3016:   /* } */
                   3017:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   3018:   /*
                   3019:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
1.218     brouard  3020:                goto end;*/
1.266     brouard  3021:   return ps; /* Pointer is unchanged since its call */
1.126     brouard  3022: }
                   3023: 
1.218     brouard  3024: /*************** backward transition probabilities ***************/ 
                   3025: 
                   3026:  /* 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 ) */
                   3027: /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ***dnewm, double **doldm, double **dsavm, int ij ) */
                   3028:  double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, int ij )
                   3029: {
1.266     brouard  3030:   /* Computes the backward probability at age agefin and covariate combination ij. In fact cov is already filled and x too.
                   3031:    * 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  3032:    */
1.218     brouard  3033:   int i, ii, j,k;
1.222     brouard  3034:   
                   3035:   double **out, **pmij();
                   3036:   double sumnew=0.;
1.218     brouard  3037:   double agefin;
1.292     brouard  3038:   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  3039:   double **dnewm, **dsavm, **doldm;
                   3040:   double **bbmij;
                   3041:   
1.218     brouard  3042:   doldm=ddoldms; /* global pointers */
1.222     brouard  3043:   dnewm=ddnewms;
                   3044:   dsavm=ddsavms;
                   3045:   
                   3046:   agefin=cov[2];
1.268     brouard  3047:   /* Bx = Diag(w_x) P_x Diag(Sum_i w^i_x p^ij_x */
1.222     brouard  3048:   /* bmij *//* age is cov[2], ij is included in cov, but we need for
1.266     brouard  3049:      the observed prevalence (with this covariate ij) at beginning of transition */
                   3050:   /* dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
1.268     brouard  3051: 
                   3052:   /* P_x */
1.266     brouard  3053:   pmmij=pmij(pmmij,cov,ncovmodel,x,nlstate); /*This is forward probability from agefin to agefin + stepm */
1.268     brouard  3054:   /* outputs pmmij which is a stochastic matrix in row */
                   3055: 
                   3056:   /* Diag(w_x) */
1.292     brouard  3057:   /* Rescaling the cross-sectional prevalence: Problem with prevacurrent which can be zero */
1.268     brouard  3058:   sumnew=0.;
1.269     brouard  3059:   /*for (ii=1;ii<=nlstate+ndeath;ii++){*/
1.268     brouard  3060:   for (ii=1;ii<=nlstate;ii++){ /* Only on live states */
1.297     brouard  3061:     /* printf(" agefin=%d, ii=%d, ij=%d, prev=%f\n",(int)agefin,ii, ij, prevacurrent[(int)agefin][ii][ij]); */
1.268     brouard  3062:     sumnew+=prevacurrent[(int)agefin][ii][ij];
                   3063:   }
                   3064:   if(sumnew >0.01){  /* At least some value in the prevalence */
                   3065:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   3066:       for (j=1;j<=nlstate+ndeath;j++)
1.269     brouard  3067:        doldm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij]/sumnew : 0.0);
1.268     brouard  3068:     }
                   3069:   }else{
                   3070:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   3071:       for (j=1;j<=nlstate+ndeath;j++)
                   3072:       doldm[ii][j]=(ii==j ? 1./nlstate : 0.0);
                   3073:     }
                   3074:     /* if(sumnew <0.9){ */
                   3075:     /*   printf("Problem internal bmij B: sum on i wi <0.9: j=%d, sum_i wi=%lf,agefin=%d\n",j,sumnew, (int)agefin); */
                   3076:     /* } */
                   3077:   }
                   3078:   k3=0.0;  /* We put the last diagonal to 0 */
                   3079:   for (ii=nlstate+1;ii<=nlstate+ndeath;ii++){
                   3080:       doldm[ii][ii]= k3;
                   3081:   }
                   3082:   /* End doldm, At the end doldm is diag[(w_i)] */
                   3083:   
1.292     brouard  3084:   /* Left product of this diag matrix by pmmij=Px (dnewm=dsavm*doldm): diag[(w_i)*Px */
                   3085:   bbmij=matprod2(dnewm, doldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, pmmij); /* was a Bug Valgrind */
1.268     brouard  3086: 
1.292     brouard  3087:   /* Diag(Sum_i w^i_x p^ij_x, should be the prevalence at age x+stepm */
1.268     brouard  3088:   /* 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  3089:   for (j=1;j<=nlstate+ndeath;j++){
1.268     brouard  3090:     sumnew=0.;
1.222     brouard  3091:     for (ii=1;ii<=nlstate;ii++){
1.266     brouard  3092:       /* sumnew+=dsavm[ii][j]*prevacurrent[(int)agefin][ii][ij]; */
1.268     brouard  3093:       sumnew+=pmmij[ii][j]*doldm[ii][ii]; /* Yes prevalence at beginning of transition */
1.222     brouard  3094:     } /* sumnew is (N11+N21)/N..= N.1/N.. = sum on i of w_i pij */
1.268     brouard  3095:     for (ii=1;ii<=nlstate+ndeath;ii++){
1.222     brouard  3096:        /* if(agefin >= agemaxpar && agefin <= agemaxpar+stepm/YEARM){ */
1.268     brouard  3097:        /*      dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
1.222     brouard  3098:        /* }else if(agefin >= agemaxpar+stepm/YEARM){ */
1.268     brouard  3099:        /*      dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
1.222     brouard  3100:        /* }else */
1.268     brouard  3101:       dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0);
                   3102:     } /*End ii */
                   3103:   } /* 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 */
                   3104: 
1.292     brouard  3105:   ps=matprod2(ps, dnewm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dsavm); /* was a Bug Valgrind */
1.268     brouard  3106:   /* ps is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */
1.222     brouard  3107:   /* end bmij */
1.266     brouard  3108:   return ps; /*pointer is unchanged */
1.218     brouard  3109: }
1.217     brouard  3110: /*************** transition probabilities ***************/ 
                   3111: 
1.218     brouard  3112: double **bpmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
1.217     brouard  3113: {
                   3114:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   3115:      computes the probability to be observed in state j being in state i by appying the
                   3116:      model to the ncovmodel covariates (including constant and age).
                   3117:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   3118:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   3119:      ncth covariate in the global vector x is given by the formula:
                   3120:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   3121:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   3122:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   3123:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   3124:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   3125:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   3126:   */
                   3127:   double s1, lnpijopii;
                   3128:   /*double t34;*/
                   3129:   int i,j, nc, ii, jj;
                   3130: 
1.234     brouard  3131:   for(i=1; i<= nlstate; i++){
                   3132:     for(j=1; j<i;j++){
                   3133:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   3134:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   3135:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   3136:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   3137:       }
                   3138:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   3139:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   3140:     }
                   3141:     for(j=i+1; j<=nlstate+ndeath;j++){
                   3142:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   3143:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   3144:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   3145:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   3146:       }
                   3147:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   3148:     }
                   3149:   }
                   3150:   
                   3151:   for(i=1; i<= nlstate; i++){
                   3152:     s1=0;
                   3153:     for(j=1; j<i; j++){
                   3154:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   3155:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   3156:     }
                   3157:     for(j=i+1; j<=nlstate+ndeath; j++){
                   3158:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   3159:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   3160:     }
                   3161:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   3162:     ps[i][i]=1./(s1+1.);
                   3163:     /* Computing other pijs */
                   3164:     for(j=1; j<i; j++)
                   3165:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3166:     for(j=i+1; j<=nlstate+ndeath; j++)
                   3167:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3168:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   3169:   } /* end i */
                   3170:   
                   3171:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   3172:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   3173:       ps[ii][jj]=0;
                   3174:       ps[ii][ii]=1;
                   3175:     }
                   3176:   }
1.296     brouard  3177:   /* Added for prevbcast */ /* Transposed matrix too */
1.234     brouard  3178:   for(jj=1; jj<= nlstate+ndeath; jj++){
                   3179:     s1=0.;
                   3180:     for(ii=1; ii<= nlstate+ndeath; ii++){
                   3181:       s1+=ps[ii][jj];
                   3182:     }
                   3183:     for(ii=1; ii<= nlstate; ii++){
                   3184:       ps[ii][jj]=ps[ii][jj]/s1;
                   3185:     }
                   3186:   }
                   3187:   /* Transposition */
                   3188:   for(jj=1; jj<= nlstate+ndeath; jj++){
                   3189:     for(ii=jj; ii<= nlstate+ndeath; ii++){
                   3190:       s1=ps[ii][jj];
                   3191:       ps[ii][jj]=ps[jj][ii];
                   3192:       ps[jj][ii]=s1;
                   3193:     }
                   3194:   }
                   3195:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   3196:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   3197:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   3198:   /*   } */
                   3199:   /*   printf("\n "); */
                   3200:   /* } */
                   3201:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   3202:   /*
                   3203:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   3204:     goto end;*/
                   3205:   return ps;
1.217     brouard  3206: }
                   3207: 
                   3208: 
1.126     brouard  3209: /**************** Product of 2 matrices ******************/
                   3210: 
1.145     brouard  3211: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  3212: {
                   3213:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   3214:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   3215:   /* in, b, out are matrice of pointers which should have been initialized 
                   3216:      before: only the contents of out is modified. The function returns
                   3217:      a pointer to pointers identical to out */
1.145     brouard  3218:   int i, j, k;
1.126     brouard  3219:   for(i=nrl; i<= nrh; i++)
1.145     brouard  3220:     for(k=ncolol; k<=ncoloh; k++){
                   3221:       out[i][k]=0.;
                   3222:       for(j=ncl; j<=nch; j++)
                   3223:        out[i][k] +=in[i][j]*b[j][k];
                   3224:     }
1.126     brouard  3225:   return out;
                   3226: }
                   3227: 
                   3228: 
                   3229: /************* Higher Matrix Product ***************/
                   3230: 
1.235     brouard  3231: 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  3232: {
1.218     brouard  3233:   /* Computes the transition matrix starting at age 'age' and combination of covariate values corresponding to ij over 
1.126     brouard  3234:      'nhstepm*hstepm*stepm' months (i.e. until
                   3235:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   3236:      nhstepm*hstepm matrices. 
                   3237:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   3238:      (typically every 2 years instead of every month which is too big 
                   3239:      for the memory).
                   3240:      Model is determined by parameters x and covariates have to be 
                   3241:      included manually here. 
                   3242: 
                   3243:      */
                   3244: 
                   3245:   int i, j, d, h, k;
1.131     brouard  3246:   double **out, cov[NCOVMAX+1];
1.126     brouard  3247:   double **newm;
1.187     brouard  3248:   double agexact;
1.214     brouard  3249:   double agebegin, ageend;
1.126     brouard  3250: 
                   3251:   /* Hstepm could be zero and should return the unit matrix */
                   3252:   for (i=1;i<=nlstate+ndeath;i++)
                   3253:     for (j=1;j<=nlstate+ndeath;j++){
                   3254:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   3255:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   3256:     }
                   3257:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   3258:   for(h=1; h <=nhstepm; h++){
                   3259:     for(d=1; d <=hstepm; d++){
                   3260:       newm=savm;
                   3261:       /* Covariates have to be included here again */
                   3262:       cov[1]=1.;
1.214     brouard  3263:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
1.187     brouard  3264:       cov[2]=agexact;
                   3265:       if(nagesqr==1)
1.227     brouard  3266:        cov[3]= agexact*agexact;
1.235     brouard  3267:       for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   3268:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   3269:        cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
                   3270:        /* 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)); */
                   3271:       }
                   3272:       for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   3273:        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   3274:        cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   3275:        /* 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]); */
                   3276:       }
                   3277:       for (k=1; k<=cptcovage;k++){
                   3278:        if(Dummy[Tvar[Tage[k]]]){
                   3279:          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   3280:        } else{
                   3281:          cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   3282:        }
                   3283:        /* 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]); */
                   3284:       }
                   3285:       for (k=1; k<=cptcovprod;k++){ /*  */
                   3286:        /* 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]); */
                   3287:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   3288:       }
                   3289:       /* for (k=1; k<=cptcovn;k++)  */
                   3290:       /*       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   3291:       /* for (k=1; k<=cptcovage;k++) /\* Should start at cptcovn+1 *\/ */
                   3292:       /*       cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2]; */
                   3293:       /* for (k=1; k<=cptcovprod;k++) /\* Useless because included in cptcovn *\/ */
                   3294:       /*       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)]; */
1.227     brouard  3295:       
                   3296:       
1.126     brouard  3297:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   3298:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.218     brouard  3299:                        /* right multiplication of oldm by the current matrix */
1.126     brouard  3300:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   3301:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
1.217     brouard  3302:       /* if((int)age == 70){ */
                   3303:       /*       printf(" Forward hpxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   3304:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   3305:       /*         printf("%d pmmij ",i); */
                   3306:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3307:       /*           printf("%f ",pmmij[i][j]); */
                   3308:       /*         } */
                   3309:       /*         printf(" oldm "); */
                   3310:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3311:       /*           printf("%f ",oldm[i][j]); */
                   3312:       /*         } */
                   3313:       /*         printf("\n"); */
                   3314:       /*       } */
                   3315:       /* } */
1.126     brouard  3316:       savm=oldm;
                   3317:       oldm=newm;
                   3318:     }
                   3319:     for(i=1; i<=nlstate+ndeath; i++)
                   3320:       for(j=1;j<=nlstate+ndeath;j++) {
1.267     brouard  3321:        po[i][j][h]=newm[i][j];
                   3322:        /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  3323:       }
1.128     brouard  3324:     /*printf("h=%d ",h);*/
1.126     brouard  3325:   } /* end h */
1.267     brouard  3326:   /*     printf("\n H=%d \n",h); */
1.126     brouard  3327:   return po;
                   3328: }
                   3329: 
1.217     brouard  3330: /************* Higher Back Matrix Product ***************/
1.218     brouard  3331: /* 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  3332: 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  3333: {
1.266     brouard  3334:   /* For a combination of dummy covariate ij, computes the transition matrix starting at age 'age' over
1.217     brouard  3335:      'nhstepm*hstepm*stepm' months (i.e. until
1.218     brouard  3336:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
                   3337:      nhstepm*hstepm matrices.
                   3338:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step
                   3339:      (typically every 2 years instead of every month which is too big
1.217     brouard  3340:      for the memory).
1.218     brouard  3341:      Model is determined by parameters x and covariates have to be
1.266     brouard  3342:      included manually here. Then we use a call to bmij(x and cov)
                   3343:      The addresss of po (p3mat allocated to the dimension of nhstepm) should be stored for output
1.222     brouard  3344:   */
1.217     brouard  3345: 
                   3346:   int i, j, d, h, k;
1.266     brouard  3347:   double **out, cov[NCOVMAX+1], **bmij();
                   3348:   double **newm, ***newmm;
1.217     brouard  3349:   double agexact;
                   3350:   double agebegin, ageend;
1.222     brouard  3351:   double **oldm, **savm;
1.217     brouard  3352: 
1.266     brouard  3353:   newmm=po; /* To be saved */
                   3354:   oldm=oldms;savm=savms; /* Global pointers */
1.217     brouard  3355:   /* Hstepm could be zero and should return the unit matrix */
                   3356:   for (i=1;i<=nlstate+ndeath;i++)
                   3357:     for (j=1;j<=nlstate+ndeath;j++){
                   3358:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   3359:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   3360:     }
                   3361:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   3362:   for(h=1; h <=nhstepm; h++){
                   3363:     for(d=1; d <=hstepm; d++){
                   3364:       newm=savm;
                   3365:       /* Covariates have to be included here again */
                   3366:       cov[1]=1.;
1.271     brouard  3367:       agexact=age-( (h-1)*hstepm + (d)  )*stepm/YEARM; /* age just before transition, d or d-1? */
1.217     brouard  3368:       /* agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /\* age just before transition *\/ */
                   3369:       cov[2]=agexact;
                   3370:       if(nagesqr==1)
1.222     brouard  3371:        cov[3]= agexact*agexact;
1.266     brouard  3372:       for (k=1; k<=cptcovn;k++){
                   3373:       /*       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   3374:       /* /\* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; *\/ */
                   3375:        cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
                   3376:         /* 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)); */
                   3377:       }
1.267     brouard  3378:       for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   3379:        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   3380:        cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   3381:        /* 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]); */
                   3382:       }
                   3383:       for (k=1; k<=cptcovage;k++){ /* Should start at cptcovn+1 */
                   3384:        if(Dummy[Tvar[Tage[k]]]){
                   3385:          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   3386:        } else{
                   3387:          cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   3388:        }
                   3389:        /* 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]); */
                   3390:       }
                   3391:       for (k=1; k<=cptcovprod;k++){ /* Useless because included in cptcovn */
1.222     brouard  3392:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.267     brouard  3393:       }                        
1.217     brouard  3394:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   3395:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.267     brouard  3396: 
1.218     brouard  3397:       /* Careful transposed matrix */
1.266     brouard  3398:       /* age is in cov[2], prevacurrent at beginning of transition. */
1.218     brouard  3399:       /* out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\ */
1.222     brouard  3400:       /*                                                1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); */
1.218     brouard  3401:       out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij),\
1.222     brouard  3402:                   1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
1.217     brouard  3403:       /* if((int)age == 70){ */
                   3404:       /*       printf(" Backward hbxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   3405:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   3406:       /*         printf("%d pmmij ",i); */
                   3407:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3408:       /*           printf("%f ",pmmij[i][j]); */
                   3409:       /*         } */
                   3410:       /*         printf(" oldm "); */
                   3411:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3412:       /*           printf("%f ",oldm[i][j]); */
                   3413:       /*         } */
                   3414:       /*         printf("\n"); */
                   3415:       /*       } */
                   3416:       /* } */
                   3417:       savm=oldm;
                   3418:       oldm=newm;
                   3419:     }
                   3420:     for(i=1; i<=nlstate+ndeath; i++)
                   3421:       for(j=1;j<=nlstate+ndeath;j++) {
1.222     brouard  3422:        po[i][j][h]=newm[i][j];
1.268     brouard  3423:        /* if(h==nhstepm) */
                   3424:        /*   printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]); */
1.217     brouard  3425:       }
1.268     brouard  3426:     /* printf("h=%d %.1f ",h, agexact); */
1.217     brouard  3427:   } /* end h */
1.268     brouard  3428:   /* printf("\n H=%d nhs=%d \n",h, nhstepm); */
1.217     brouard  3429:   return po;
                   3430: }
                   3431: 
                   3432: 
1.162     brouard  3433: #ifdef NLOPT
                   3434:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   3435:   double fret;
                   3436:   double *xt;
                   3437:   int j;
                   3438:   myfunc_data *d2 = (myfunc_data *) pd;
                   3439: /* xt = (p1-1); */
                   3440:   xt=vector(1,n); 
                   3441:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   3442: 
                   3443:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   3444:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   3445:   printf("Function = %.12lf ",fret);
                   3446:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   3447:   printf("\n");
                   3448:  free_vector(xt,1,n);
                   3449:   return fret;
                   3450: }
                   3451: #endif
1.126     brouard  3452: 
                   3453: /*************** log-likelihood *************/
                   3454: double func( double *x)
                   3455: {
1.226     brouard  3456:   int i, ii, j, k, mi, d, kk;
                   3457:   int ioffset=0;
                   3458:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
                   3459:   double **out;
                   3460:   double lli; /* Individual log likelihood */
                   3461:   int s1, s2;
1.228     brouard  3462:   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  3463:   double bbh, survp;
                   3464:   long ipmx;
                   3465:   double agexact;
                   3466:   /*extern weight */
                   3467:   /* We are differentiating ll according to initial status */
                   3468:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3469:   /*for(i=1;i<imx;i++) 
                   3470:     printf(" %d\n",s[4][i]);
                   3471:   */
1.162     brouard  3472: 
1.226     brouard  3473:   ++countcallfunc;
1.162     brouard  3474: 
1.226     brouard  3475:   cov[1]=1.;
1.126     brouard  3476: 
1.226     brouard  3477:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3478:   ioffset=0;
1.226     brouard  3479:   if(mle==1){
                   3480:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3481:       /* Computes the values of the ncovmodel covariates of the model
                   3482:         depending if the covariates are fixed or varying (age dependent) and stores them in cov[]
                   3483:         Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                   3484:         to be observed in j being in i according to the model.
                   3485:       */
1.243     brouard  3486:       ioffset=2+nagesqr ;
1.233     brouard  3487:    /* Fixed */
1.234     brouard  3488:       for (k=1; k<=ncovf;k++){ /* Simple and product fixed covariates without age* products */
                   3489:        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)*/
                   3490:       }
1.226     brouard  3491:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
                   3492:         is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
                   3493:         has been calculated etc */
                   3494:       /* For an individual i, wav[i] gives the number of effective waves */
                   3495:       /* We compute the contribution to Likelihood of each effective transition
                   3496:         mw[mi][i] is real wave of the mi th effectve wave */
                   3497:       /* Then statuses are computed at each begin and end of an effective wave s1=s[ mw[mi][i] ][i];
                   3498:         s2=s[mw[mi+1][i]][i];
                   3499:         And the iv th varying covariate is the cotvar[mw[mi+1][i]][iv][i]
                   3500:         But if the variable is not in the model TTvar[iv] is the real variable effective in the model:
                   3501:         meaning that decodemodel should be used cotvar[mw[mi+1][i]][TTvar[iv]][i]
                   3502:       */
                   3503:       for(mi=1; mi<= wav[i]-1; mi++){
1.234     brouard  3504:        for(k=1; k <= ncovv ; k++){ /* Varying  covariates (single and product but no age )*/
1.242     brouard  3505:          /* cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i]; */
                   3506:          cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]-ncovcol-nqv][i];
1.234     brouard  3507:        }
                   3508:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3509:          for (j=1;j<=nlstate+ndeath;j++){
                   3510:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3511:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3512:          }
                   3513:        for(d=0; d<dh[mi][i]; d++){
                   3514:          newm=savm;
                   3515:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3516:          cov[2]=agexact;
                   3517:          if(nagesqr==1)
                   3518:            cov[3]= agexact*agexact;  /* Should be changed here */
                   3519:          for (kk=1; kk<=cptcovage;kk++) {
1.242     brouard  3520:          if(!FixedV[Tvar[Tage[kk]]])
1.234     brouard  3521:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
1.242     brouard  3522:          else
                   3523:            cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]-ncovcol-nqv][i]*agexact;
1.234     brouard  3524:          }
                   3525:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3526:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3527:          savm=oldm;
                   3528:          oldm=newm;
                   3529:        } /* end mult */
                   3530:        
                   3531:        /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   3532:        /* But now since version 0.9 we anticipate for bias at large stepm.
                   3533:         * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   3534:         * (in months) between two waves is not a multiple of stepm, we rounded to 
                   3535:         * the nearest (and in case of equal distance, to the lowest) interval but now
                   3536:         * we keep into memory the bias bh[mi][i] and also the previous matrix product
                   3537:         * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                   3538:         * probability in order to take into account the bias as a fraction of the way
1.231     brouard  3539:                                 * from savm to out if bh is negative or even beyond if bh is positive. bh varies
                   3540:                                 * -stepm/2 to stepm/2 .
                   3541:                                 * For stepm=1 the results are the same as for previous versions of Imach.
                   3542:                                 * For stepm > 1 the results are less biased than in previous versions. 
                   3543:                                 */
1.234     brouard  3544:        s1=s[mw[mi][i]][i];
                   3545:        s2=s[mw[mi+1][i]][i];
                   3546:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3547:        /* bias bh is positive if real duration
                   3548:         * is higher than the multiple of stepm and negative otherwise.
                   3549:         */
                   3550:        /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
                   3551:        if( s2 > nlstate){ 
                   3552:          /* i.e. if s2 is a death state and if the date of death is known 
                   3553:             then the contribution to the likelihood is the probability to 
                   3554:             die between last step unit time and current  step unit time, 
                   3555:             which is also equal to probability to die before dh 
                   3556:             minus probability to die before dh-stepm . 
                   3557:             In version up to 0.92 likelihood was computed
                   3558:             as if date of death was unknown. Death was treated as any other
                   3559:             health state: the date of the interview describes the actual state
                   3560:             and not the date of a change in health state. The former idea was
                   3561:             to consider that at each interview the state was recorded
                   3562:             (healthy, disable or death) and IMaCh was corrected; but when we
                   3563:             introduced the exact date of death then we should have modified
                   3564:             the contribution of an exact death to the likelihood. This new
                   3565:             contribution is smaller and very dependent of the step unit
                   3566:             stepm. It is no more the probability to die between last interview
                   3567:             and month of death but the probability to survive from last
                   3568:             interview up to one month before death multiplied by the
                   3569:             probability to die within a month. Thanks to Chris
                   3570:             Jackson for correcting this bug.  Former versions increased
                   3571:             mortality artificially. The bad side is that we add another loop
                   3572:             which slows down the processing. The difference can be up to 10%
                   3573:             lower mortality.
                   3574:          */
                   3575:          /* If, at the beginning of the maximization mostly, the
                   3576:             cumulative probability or probability to be dead is
                   3577:             constant (ie = 1) over time d, the difference is equal to
                   3578:             0.  out[s1][3] = savm[s1][3]: probability, being at state
                   3579:             s1 at precedent wave, to be dead a month before current
                   3580:             wave is equal to probability, being at state s1 at
                   3581:             precedent wave, to be dead at mont of the current
                   3582:             wave. Then the observed probability (that this person died)
                   3583:             is null according to current estimated parameter. In fact,
                   3584:             it should be very low but not zero otherwise the log go to
                   3585:             infinity.
                   3586:          */
1.183     brouard  3587: /* #ifdef INFINITYORIGINAL */
                   3588: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3589: /* #else */
                   3590: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   3591: /*         lli=log(mytinydouble); */
                   3592: /*       else */
                   3593: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3594: /* #endif */
1.226     brouard  3595:          lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3596:          
1.226     brouard  3597:        } else if  ( s2==-1 ) { /* alive */
                   3598:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3599:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3600:          /*survp += out[s1][j]; */
                   3601:          lli= log(survp);
                   3602:        }
                   3603:        else if  (s2==-4) { 
                   3604:          for (j=3,survp=0. ; j<=nlstate; j++)  
                   3605:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3606:          lli= log(survp); 
                   3607:        } 
                   3608:        else if  (s2==-5) { 
                   3609:          for (j=1,survp=0. ; j<=2; j++)  
                   3610:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3611:          lli= log(survp); 
                   3612:        } 
                   3613:        else{
                   3614:          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3615:          /*  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 */
                   3616:        } 
                   3617:        /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                   3618:        /*if(lli ==000.0)*/
                   3619:        /*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); */
                   3620:        ipmx +=1;
                   3621:        sw += weight[i];
                   3622:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3623:        /* if (lli < log(mytinydouble)){ */
                   3624:        /*   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); */
                   3625:        /*   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]); */
                   3626:        /* } */
                   3627:       } /* end of wave */
                   3628:     } /* end of individual */
                   3629:   }  else if(mle==2){
                   3630:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3631:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3632:       for(mi=1; mi<= wav[i]-1; mi++){
                   3633:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3634:          for (j=1;j<=nlstate+ndeath;j++){
                   3635:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3636:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3637:          }
                   3638:        for(d=0; d<=dh[mi][i]; d++){
                   3639:          newm=savm;
                   3640:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3641:          cov[2]=agexact;
                   3642:          if(nagesqr==1)
                   3643:            cov[3]= agexact*agexact;
                   3644:          for (kk=1; kk<=cptcovage;kk++) {
                   3645:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3646:          }
                   3647:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3648:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3649:          savm=oldm;
                   3650:          oldm=newm;
                   3651:        } /* end mult */
                   3652:       
                   3653:        s1=s[mw[mi][i]][i];
                   3654:        s2=s[mw[mi+1][i]][i];
                   3655:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3656:        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 */
                   3657:        ipmx +=1;
                   3658:        sw += weight[i];
                   3659:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3660:       } /* end of wave */
                   3661:     } /* end of individual */
                   3662:   }  else if(mle==3){  /* exponential inter-extrapolation */
                   3663:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3664:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3665:       for(mi=1; mi<= wav[i]-1; mi++){
                   3666:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3667:          for (j=1;j<=nlstate+ndeath;j++){
                   3668:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3669:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3670:          }
                   3671:        for(d=0; d<dh[mi][i]; d++){
                   3672:          newm=savm;
                   3673:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3674:          cov[2]=agexact;
                   3675:          if(nagesqr==1)
                   3676:            cov[3]= agexact*agexact;
                   3677:          for (kk=1; kk<=cptcovage;kk++) {
                   3678:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3679:          }
                   3680:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3681:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3682:          savm=oldm;
                   3683:          oldm=newm;
                   3684:        } /* end mult */
                   3685:       
                   3686:        s1=s[mw[mi][i]][i];
                   3687:        s2=s[mw[mi+1][i]][i];
                   3688:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3689:        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 */
                   3690:        ipmx +=1;
                   3691:        sw += weight[i];
                   3692:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3693:       } /* end of wave */
                   3694:     } /* end of individual */
                   3695:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
                   3696:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3697:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3698:       for(mi=1; mi<= wav[i]-1; mi++){
                   3699:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3700:          for (j=1;j<=nlstate+ndeath;j++){
                   3701:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3702:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3703:          }
                   3704:        for(d=0; d<dh[mi][i]; d++){
                   3705:          newm=savm;
                   3706:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3707:          cov[2]=agexact;
                   3708:          if(nagesqr==1)
                   3709:            cov[3]= agexact*agexact;
                   3710:          for (kk=1; kk<=cptcovage;kk++) {
                   3711:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3712:          }
1.126     brouard  3713:        
1.226     brouard  3714:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3715:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3716:          savm=oldm;
                   3717:          oldm=newm;
                   3718:        } /* end mult */
                   3719:       
                   3720:        s1=s[mw[mi][i]][i];
                   3721:        s2=s[mw[mi+1][i]][i];
                   3722:        if( s2 > nlstate){ 
                   3723:          lli=log(out[s1][s2] - savm[s1][s2]);
                   3724:        } else if  ( s2==-1 ) { /* alive */
                   3725:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3726:            survp += out[s1][j];
                   3727:          lli= log(survp);
                   3728:        }else{
                   3729:          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3730:        }
                   3731:        ipmx +=1;
                   3732:        sw += weight[i];
                   3733:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.126     brouard  3734: /*     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  3735:       } /* end of wave */
                   3736:     } /* end of individual */
                   3737:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
                   3738:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3739:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3740:       for(mi=1; mi<= wav[i]-1; mi++){
                   3741:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3742:          for (j=1;j<=nlstate+ndeath;j++){
                   3743:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3744:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3745:          }
                   3746:        for(d=0; d<dh[mi][i]; d++){
                   3747:          newm=savm;
                   3748:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3749:          cov[2]=agexact;
                   3750:          if(nagesqr==1)
                   3751:            cov[3]= agexact*agexact;
                   3752:          for (kk=1; kk<=cptcovage;kk++) {
                   3753:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3754:          }
1.126     brouard  3755:        
1.226     brouard  3756:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3757:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3758:          savm=oldm;
                   3759:          oldm=newm;
                   3760:        } /* end mult */
                   3761:       
                   3762:        s1=s[mw[mi][i]][i];
                   3763:        s2=s[mw[mi+1][i]][i];
                   3764:        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3765:        ipmx +=1;
                   3766:        sw += weight[i];
                   3767:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3768:        /*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]);*/
                   3769:       } /* end of wave */
                   3770:     } /* end of individual */
                   3771:   } /* End of if */
                   3772:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3773:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3774:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3775:   return -l;
1.126     brouard  3776: }
                   3777: 
                   3778: /*************** log-likelihood *************/
                   3779: double funcone( double *x)
                   3780: {
1.228     brouard  3781:   /* Same as func but slower because of a lot of printf and if */
1.126     brouard  3782:   int i, ii, j, k, mi, d, kk;
1.228     brouard  3783:   int ioffset=0;
1.131     brouard  3784:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  3785:   double **out;
                   3786:   double lli; /* Individual log likelihood */
                   3787:   double llt;
                   3788:   int s1, s2;
1.228     brouard  3789:   int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate, quantitative time varying covariate */
                   3790: 
1.126     brouard  3791:   double bbh, survp;
1.187     brouard  3792:   double agexact;
1.214     brouard  3793:   double agebegin, ageend;
1.126     brouard  3794:   /*extern weight */
                   3795:   /* We are differentiating ll according to initial status */
                   3796:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3797:   /*for(i=1;i<imx;i++) 
                   3798:     printf(" %d\n",s[4][i]);
                   3799:   */
                   3800:   cov[1]=1.;
                   3801: 
                   3802:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3803:   ioffset=0;
                   3804:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.243     brouard  3805:     /* ioffset=2+nagesqr+cptcovage; */
                   3806:     ioffset=2+nagesqr;
1.232     brouard  3807:     /* Fixed */
1.224     brouard  3808:     /* for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i]; */
1.232     brouard  3809:     /* for (k=1; k<=ncoveff;k++){ /\* Simple and product fixed Dummy covariates without age* products *\/ */
                   3810:     for (k=1; k<=ncovf;k++){ /* Simple and product fixed covariates without age* products */
                   3811:       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)*/
                   3812: /*    cov[ioffset+TvarFind[1]]=covar[Tvar[TvarFind[1]]][i];  */
                   3813: /*    cov[2+6]=covar[Tvar[6]][i];  */
                   3814: /*    cov[2+6]=covar[2][i]; V2  */
                   3815: /*    cov[TvarFind[2]]=covar[Tvar[TvarFind[2]]][i];  */
                   3816: /*    cov[2+7]=covar[Tvar[7]][i];  */
                   3817: /*    cov[2+7]=covar[7][i]; V7=V1*V2  */
                   3818: /*    cov[TvarFind[3]]=covar[Tvar[TvarFind[3]]][i];  */
                   3819: /*    cov[2+9]=covar[Tvar[9]][i];  */
                   3820: /*    cov[2+9]=covar[1][i]; V1  */
1.225     brouard  3821:     }
1.232     brouard  3822:     /* for (k=1; k<=nqfveff;k++){ /\* Simple and product fixed Quantitative covariates without age* products *\/ */
                   3823:     /*   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?)*\/ */
                   3824:     /* } */
1.231     brouard  3825:     /* for(iqv=1; iqv <= nqfveff; iqv++){ /\* Quantitative fixed covariates *\/ */
                   3826:     /*   cov[++ioffset]=coqvar[Tvar[iqv]][i]; /\* Only V2 k=6 and V1*V2 7 *\/ */
                   3827:     /* } */
1.225     brouard  3828:     
1.233     brouard  3829: 
                   3830:     for(mi=1; mi<= wav[i]-1; mi++){  /* Varying with waves */
1.232     brouard  3831:     /* Wave varying (but not age varying) */
                   3832:       for(k=1; k <= ncovv ; k++){ /* Varying  covariates (single and product but no age )*/
1.242     brouard  3833:        /* cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i]; */
                   3834:        cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]-ncovcol-nqv][i];
                   3835:       }
1.232     brouard  3836:       /* for(itv=1; itv <= ntveff; itv++){ /\* Varying dummy covariates (single??)*\/ */
1.242     brouard  3837:       /* iv= Tvar[Tmodelind[ioffset-2-nagesqr-cptcovage+itv]]-ncovcol-nqv; /\* Counting the # varying covariate from 1 to ntveff *\/ */
                   3838:       /* cov[ioffset+iv]=cotvar[mw[mi][i]][iv][i]; */
                   3839:       /* k=ioffset-2-nagesqr-cptcovage+itv; /\* position in simple model *\/ */
                   3840:       /* cov[ioffset+itv]=cotvar[mw[mi][i]][TmodelInvind[itv]][i]; */
                   3841:       /* 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  3842:       /* for(iqtv=1; iqtv <= nqtveff; iqtv++){ /\* Varying quantitatives covariates *\/ */
1.242     brouard  3843:       /*       iv=TmodelInvQind[iqtv]; /\* Counting the # varying covariate from 1 to ntveff *\/ */
                   3844:       /*       /\* 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]); *\/ */
                   3845:       /*       cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i]; */
1.232     brouard  3846:       /* } */
1.126     brouard  3847:       for (ii=1;ii<=nlstate+ndeath;ii++)
1.242     brouard  3848:        for (j=1;j<=nlstate+ndeath;j++){
                   3849:          oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3850:          savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3851:        }
1.214     brouard  3852:       
                   3853:       agebegin=agev[mw[mi][i]][i]; /* Age at beginning of effective wave */
                   3854:       ageend=agev[mw[mi][i]][i] + (dh[mi][i])*stepm/YEARM; /* Age at end of effective wave and at the end of transition */
                   3855:       for(d=0; d<dh[mi][i]; d++){  /* Delay between two effective waves */
1.247     brouard  3856:       /* for(d=0; d<=0; d++){  /\* Delay between two effective waves Only one matrix to speed up*\/ */
1.242     brouard  3857:        /*dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   3858:          and mw[mi+1][i]. dh depends on stepm.*/
                   3859:        newm=savm;
1.247     brouard  3860:        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;  /* Here d is needed */
1.242     brouard  3861:        cov[2]=agexact;
                   3862:        if(nagesqr==1)
                   3863:          cov[3]= agexact*agexact;
                   3864:        for (kk=1; kk<=cptcovage;kk++) {
                   3865:          if(!FixedV[Tvar[Tage[kk]]])
                   3866:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3867:          else
                   3868:            cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]-ncovcol-nqv][i]*agexact;
                   3869:        }
                   3870:        /* printf("i=%d,mi=%d,d=%d,mw[mi][i]=%d\n",i, mi,d,mw[mi][i]); */
                   3871:        /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   3872:        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3873:                     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3874:        /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
                   3875:        /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
                   3876:        savm=oldm;
                   3877:        oldm=newm;
1.126     brouard  3878:       } /* end mult */
                   3879:       
                   3880:       s1=s[mw[mi][i]][i];
                   3881:       s2=s[mw[mi+1][i]][i];
1.217     brouard  3882:       /* if(s2==-1){ */
1.268     brouard  3883:       /*       printf(" ERROR s1=%d, s2=%d i=%d \n", s1, s2, i); */
1.217     brouard  3884:       /*       /\* exit(1); *\/ */
                   3885:       /* } */
1.126     brouard  3886:       bbh=(double)bh[mi][i]/(double)stepm; 
                   3887:       /* bias is positive if real duration
                   3888:        * is higher than the multiple of stepm and negative otherwise.
                   3889:        */
                   3890:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
1.242     brouard  3891:        lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3892:       } else if  ( s2==-1 ) { /* alive */
1.242     brouard  3893:        for (j=1,survp=0. ; j<=nlstate; j++) 
                   3894:          survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3895:        lli= log(survp);
1.126     brouard  3896:       }else if (mle==1){
1.242     brouard  3897:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
1.126     brouard  3898:       } else if(mle==2){
1.242     brouard  3899:        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  3900:       } else if(mle==3){  /* exponential inter-extrapolation */
1.242     brouard  3901:        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  3902:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
1.242     brouard  3903:        lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  3904:       } else{  /* mle=0 back to 1 */
1.242     brouard  3905:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3906:        /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  3907:       } /* End of if */
                   3908:       ipmx +=1;
                   3909:       sw += weight[i];
                   3910:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  3911:       /*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  3912:       if(globpr){
1.246     brouard  3913:        fprintf(ficresilk,"%09ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %15.6f %8.4f %8.3f\
1.126     brouard  3914:  %11.6f %11.6f %11.6f ", \
1.242     brouard  3915:                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  3916:                2*weight[i]*lli,(s2==-1? -1: out[s1][s2]),(s2==-1? -1: savm[s1][s2]));
1.242     brouard  3917:        for(k=1,llt=0.,l=0.; k<=nlstate; k++){
                   3918:          llt +=ll[k]*gipmx/gsw;
                   3919:          fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                   3920:        }
                   3921:        fprintf(ficresilk," %10.6f\n", -llt);
1.126     brouard  3922:       }
1.232     brouard  3923:        } /* end of wave */
                   3924: } /* end of individual */
                   3925: for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3926: /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3927: l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3928: if(globpr==0){ /* First time we count the contributions and weights */
                   3929:        gipmx=ipmx;
                   3930:        gsw=sw;
                   3931: }
                   3932: return -l;
1.126     brouard  3933: }
                   3934: 
                   3935: 
                   3936: /*************** function likelione ***********/
1.292     brouard  3937: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*func)(double []))
1.126     brouard  3938: {
                   3939:   /* This routine should help understanding what is done with 
                   3940:      the selection of individuals/waves and
                   3941:      to check the exact contribution to the likelihood.
                   3942:      Plotting could be done.
                   3943:    */
                   3944:   int k;
                   3945: 
                   3946:   if(*globpri !=0){ /* Just counts and sums, no printings */
1.201     brouard  3947:     strcpy(fileresilk,"ILK_"); 
1.202     brouard  3948:     strcat(fileresilk,fileresu);
1.126     brouard  3949:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   3950:       printf("Problem with resultfile: %s\n", fileresilk);
                   3951:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   3952:     }
1.214     brouard  3953:     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");
                   3954:     fprintf(ficresilk, "#num_i ageb agend i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav ");
1.126     brouard  3955:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   3956:     for(k=1; k<=nlstate; k++) 
                   3957:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   3958:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   3959:   }
                   3960: 
1.292     brouard  3961:   *fretone=(*func)(p);
1.126     brouard  3962:   if(*globpri !=0){
                   3963:     fclose(ficresilk);
1.205     brouard  3964:     if (mle ==0)
                   3965:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
                   3966:     else if(mle >=1)
                   3967:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
                   3968:     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  3969:     fprintf(fichtm,"\n<br>Equation of the model: <b>model=1+age+%s</b><br>\n",model); 
1.208     brouard  3970:       
                   3971:     for (k=1; k<= nlstate ; k++) {
1.211     brouard  3972:       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  3973: <img src=\"%s-p%dj.png\">",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
                   3974:     }
1.207     brouard  3975:     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  3976: <img src=\"%s-ori.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3977:     fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
1.204     brouard  3978: <img src=\"%s-dest.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3979:     fflush(fichtm);
1.205     brouard  3980:   }
1.126     brouard  3981:   return;
                   3982: }
                   3983: 
                   3984: 
                   3985: /*********** Maximum Likelihood Estimation ***************/
                   3986: 
                   3987: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   3988: {
1.165     brouard  3989:   int i,j, iter=0;
1.126     brouard  3990:   double **xi;
                   3991:   double fret;
                   3992:   double fretone; /* Only one call to likelihood */
                   3993:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  3994: 
                   3995: #ifdef NLOPT
                   3996:   int creturn;
                   3997:   nlopt_opt opt;
                   3998:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   3999:   double *lb;
                   4000:   double minf; /* the minimum objective value, upon return */
                   4001:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   4002:   myfunc_data dinst, *d = &dinst;
                   4003: #endif
                   4004: 
                   4005: 
1.126     brouard  4006:   xi=matrix(1,npar,1,npar);
                   4007:   for (i=1;i<=npar;i++)
                   4008:     for (j=1;j<=npar;j++)
                   4009:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   4010:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.201     brouard  4011:   strcpy(filerespow,"POW_"); 
1.126     brouard  4012:   strcat(filerespow,fileres);
                   4013:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   4014:     printf("Problem with resultfile: %s\n", filerespow);
                   4015:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   4016:   }
                   4017:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   4018:   for (i=1;i<=nlstate;i++)
                   4019:     for(j=1;j<=nlstate+ndeath;j++)
                   4020:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   4021:   fprintf(ficrespow,"\n");
1.162     brouard  4022: #ifdef POWELL
1.126     brouard  4023:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.162     brouard  4024: #endif
1.126     brouard  4025: 
1.162     brouard  4026: #ifdef NLOPT
                   4027: #ifdef NEWUOA
                   4028:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   4029: #else
                   4030:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   4031: #endif
                   4032:   lb=vector(0,npar-1);
                   4033:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   4034:   nlopt_set_lower_bounds(opt, lb);
                   4035:   nlopt_set_initial_step1(opt, 0.1);
                   4036:   
                   4037:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   4038:   d->function = func;
                   4039:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   4040:   nlopt_set_min_objective(opt, myfunc, d);
                   4041:   nlopt_set_xtol_rel(opt, ftol);
                   4042:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   4043:     printf("nlopt failed! %d\n",creturn); 
                   4044:   }
                   4045:   else {
                   4046:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   4047:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   4048:     iter=1; /* not equal */
                   4049:   }
                   4050:   nlopt_destroy(opt);
                   4051: #endif
1.126     brouard  4052:   free_matrix(xi,1,npar,1,npar);
                   4053:   fclose(ficrespow);
1.203     brouard  4054:   printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   4055:   fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.180     brouard  4056:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  4057: 
                   4058: }
                   4059: 
                   4060: /**** Computes Hessian and covariance matrix ***/
1.203     brouard  4061: void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
1.126     brouard  4062: {
                   4063:   double  **a,**y,*x,pd;
1.203     brouard  4064:   /* double **hess; */
1.164     brouard  4065:   int i, j;
1.126     brouard  4066:   int *indx;
                   4067: 
                   4068:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
1.203     brouard  4069:   double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
1.126     brouard  4070:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   4071:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   4072:   double gompertz(double p[]);
1.203     brouard  4073:   /* hess=matrix(1,npar,1,npar); */
1.126     brouard  4074: 
                   4075:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   4076:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   4077:   for (i=1;i<=npar;i++){
1.203     brouard  4078:     printf("%d-",i);fflush(stdout);
                   4079:     fprintf(ficlog,"%d-",i);fflush(ficlog);
1.126     brouard  4080:    
                   4081:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   4082:     
                   4083:     /*  printf(" %f ",p[i]);
                   4084:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   4085:   }
                   4086:   
                   4087:   for (i=1;i<=npar;i++) {
                   4088:     for (j=1;j<=npar;j++)  {
                   4089:       if (j>i) { 
1.203     brouard  4090:        printf(".%d-%d",i,j);fflush(stdout);
                   4091:        fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
                   4092:        hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
1.126     brouard  4093:        
                   4094:        hess[j][i]=hess[i][j];    
                   4095:        /*printf(" %lf ",hess[i][j]);*/
                   4096:       }
                   4097:     }
                   4098:   }
                   4099:   printf("\n");
                   4100:   fprintf(ficlog,"\n");
                   4101: 
                   4102:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   4103:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   4104:   
                   4105:   a=matrix(1,npar,1,npar);
                   4106:   y=matrix(1,npar,1,npar);
                   4107:   x=vector(1,npar);
                   4108:   indx=ivector(1,npar);
                   4109:   for (i=1;i<=npar;i++)
                   4110:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   4111:   ludcmp(a,npar,indx,&pd);
                   4112: 
                   4113:   for (j=1;j<=npar;j++) {
                   4114:     for (i=1;i<=npar;i++) x[i]=0;
                   4115:     x[j]=1;
                   4116:     lubksb(a,npar,indx,x);
                   4117:     for (i=1;i<=npar;i++){ 
                   4118:       matcov[i][j]=x[i];
                   4119:     }
                   4120:   }
                   4121: 
                   4122:   printf("\n#Hessian matrix#\n");
                   4123:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   4124:   for (i=1;i<=npar;i++) { 
                   4125:     for (j=1;j<=npar;j++) { 
1.203     brouard  4126:       printf("%.6e ",hess[i][j]);
                   4127:       fprintf(ficlog,"%.6e ",hess[i][j]);
1.126     brouard  4128:     }
                   4129:     printf("\n");
                   4130:     fprintf(ficlog,"\n");
                   4131:   }
                   4132: 
1.203     brouard  4133:   /* printf("\n#Covariance matrix#\n"); */
                   4134:   /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
                   4135:   /* for (i=1;i<=npar;i++) {  */
                   4136:   /*   for (j=1;j<=npar;j++) {  */
                   4137:   /*     printf("%.6e ",matcov[i][j]); */
                   4138:   /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
                   4139:   /*   } */
                   4140:   /*   printf("\n"); */
                   4141:   /*   fprintf(ficlog,"\n"); */
                   4142:   /* } */
                   4143: 
1.126     brouard  4144:   /* Recompute Inverse */
1.203     brouard  4145:   /* for (i=1;i<=npar;i++) */
                   4146:   /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
                   4147:   /* ludcmp(a,npar,indx,&pd); */
                   4148: 
                   4149:   /*  printf("\n#Hessian matrix recomputed#\n"); */
                   4150: 
                   4151:   /* for (j=1;j<=npar;j++) { */
                   4152:   /*   for (i=1;i<=npar;i++) x[i]=0; */
                   4153:   /*   x[j]=1; */
                   4154:   /*   lubksb(a,npar,indx,x); */
                   4155:   /*   for (i=1;i<=npar;i++){  */
                   4156:   /*     y[i][j]=x[i]; */
                   4157:   /*     printf("%.3e ",y[i][j]); */
                   4158:   /*     fprintf(ficlog,"%.3e ",y[i][j]); */
                   4159:   /*   } */
                   4160:   /*   printf("\n"); */
                   4161:   /*   fprintf(ficlog,"\n"); */
                   4162:   /* } */
                   4163: 
                   4164:   /* Verifying the inverse matrix */
                   4165: #ifdef DEBUGHESS
                   4166:   y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
1.126     brouard  4167: 
1.203     brouard  4168:    printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
                   4169:    fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
1.126     brouard  4170: 
                   4171:   for (j=1;j<=npar;j++) {
                   4172:     for (i=1;i<=npar;i++){ 
1.203     brouard  4173:       printf("%.2f ",y[i][j]);
                   4174:       fprintf(ficlog,"%.2f ",y[i][j]);
1.126     brouard  4175:     }
                   4176:     printf("\n");
                   4177:     fprintf(ficlog,"\n");
                   4178:   }
1.203     brouard  4179: #endif
1.126     brouard  4180: 
                   4181:   free_matrix(a,1,npar,1,npar);
                   4182:   free_matrix(y,1,npar,1,npar);
                   4183:   free_vector(x,1,npar);
                   4184:   free_ivector(indx,1,npar);
1.203     brouard  4185:   /* free_matrix(hess,1,npar,1,npar); */
1.126     brouard  4186: 
                   4187: 
                   4188: }
                   4189: 
                   4190: /*************** hessian matrix ****************/
                   4191: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
1.203     brouard  4192: { /* Around values of x, computes the function func and returns the scales delti and hessian */
1.126     brouard  4193:   int i;
                   4194:   int l=1, lmax=20;
1.203     brouard  4195:   double k1,k2, res, fx;
1.132     brouard  4196:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  4197:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   4198:   int k=0,kmax=10;
                   4199:   double l1;
                   4200: 
                   4201:   fx=func(x);
                   4202:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  4203:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  4204:     l1=pow(10,l);
                   4205:     delts=delt;
                   4206:     for(k=1 ; k <kmax; k=k+1){
                   4207:       delt = delta*(l1*k);
                   4208:       p2[theta]=x[theta] +delt;
1.145     brouard  4209:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  4210:       p2[theta]=x[theta]-delt;
                   4211:       k2=func(p2)-fx;
                   4212:       /*res= (k1-2.0*fx+k2)/delt/delt; */
1.203     brouard  4213:       res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
1.126     brouard  4214:       
1.203     brouard  4215: #ifdef DEBUGHESSII
1.126     brouard  4216:       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);
                   4217:       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);
                   4218: #endif
                   4219:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   4220:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   4221:        k=kmax;
                   4222:       }
                   4223:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  4224:        k=kmax; l=lmax*10;
1.126     brouard  4225:       }
                   4226:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   4227:        delts=delt;
                   4228:       }
1.203     brouard  4229:     } /* End loop k */
1.126     brouard  4230:   }
                   4231:   delti[theta]=delts;
                   4232:   return res; 
                   4233:   
                   4234: }
                   4235: 
1.203     brouard  4236: double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
1.126     brouard  4237: {
                   4238:   int i;
1.164     brouard  4239:   int l=1, lmax=20;
1.126     brouard  4240:   double k1,k2,k3,k4,res,fx;
1.132     brouard  4241:   double p2[MAXPARM+1];
1.203     brouard  4242:   int k, kmax=1;
                   4243:   double v1, v2, cv12, lc1, lc2;
1.208     brouard  4244: 
                   4245:   int firstime=0;
1.203     brouard  4246:   
1.126     brouard  4247:   fx=func(x);
1.203     brouard  4248:   for (k=1; k<=kmax; k=k+10) {
1.126     brouard  4249:     for (i=1;i<=npar;i++) p2[i]=x[i];
1.203     brouard  4250:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   4251:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  4252:     k1=func(p2)-fx;
                   4253:   
1.203     brouard  4254:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   4255:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  4256:     k2=func(p2)-fx;
                   4257:   
1.203     brouard  4258:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   4259:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  4260:     k3=func(p2)-fx;
                   4261:   
1.203     brouard  4262:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   4263:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  4264:     k4=func(p2)-fx;
1.203     brouard  4265:     res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */
                   4266:     if(k1*k2*k3*k4 <0.){
1.208     brouard  4267:       firstime=1;
1.203     brouard  4268:       kmax=kmax+10;
1.208     brouard  4269:     }
                   4270:     if(kmax >=10 || firstime ==1){
1.246     brouard  4271:       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);
                   4272:       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  4273:       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);
                   4274:       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);
                   4275:     }
                   4276: #ifdef DEBUGHESSIJ
                   4277:     v1=hess[thetai][thetai];
                   4278:     v2=hess[thetaj][thetaj];
                   4279:     cv12=res;
                   4280:     /* Computing eigen value of Hessian matrix */
                   4281:     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4282:     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4283:     if ((lc2 <0) || (lc1 <0) ){
                   4284:       printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   4285:       fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   4286:       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);
                   4287:       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);
                   4288:     }
1.126     brouard  4289: #endif
                   4290:   }
                   4291:   return res;
                   4292: }
                   4293: 
1.203     brouard  4294:     /* Not done yet: Was supposed to fix if not exactly at the maximum */
                   4295: /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
                   4296: /* { */
                   4297: /*   int i; */
                   4298: /*   int l=1, lmax=20; */
                   4299: /*   double k1,k2,k3,k4,res,fx; */
                   4300: /*   double p2[MAXPARM+1]; */
                   4301: /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
                   4302: /*   int k=0,kmax=10; */
                   4303: /*   double l1; */
                   4304:   
                   4305: /*   fx=func(x); */
                   4306: /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
                   4307: /*     l1=pow(10,l); */
                   4308: /*     delts=delt; */
                   4309: /*     for(k=1 ; k <kmax; k=k+1){ */
                   4310: /*       delt = delti*(l1*k); */
                   4311: /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
                   4312: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   4313: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   4314: /*       k1=func(p2)-fx; */
                   4315:       
                   4316: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   4317: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   4318: /*       k2=func(p2)-fx; */
                   4319:       
                   4320: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   4321: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   4322: /*       k3=func(p2)-fx; */
                   4323:       
                   4324: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   4325: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   4326: /*       k4=func(p2)-fx; */
                   4327: /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
                   4328: /* #ifdef DEBUGHESSIJ */
                   4329: /*       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); */
                   4330: /*       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); */
                   4331: /* #endif */
                   4332: /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
                   4333: /*     k=kmax; */
                   4334: /*       } */
                   4335: /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
                   4336: /*     k=kmax; l=lmax*10; */
                   4337: /*       } */
                   4338: /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
                   4339: /*     delts=delt; */
                   4340: /*       } */
                   4341: /*     } /\* End loop k *\/ */
                   4342: /*   } */
                   4343: /*   delti[theta]=delts; */
                   4344: /*   return res;  */
                   4345: /* } */
                   4346: 
                   4347: 
1.126     brouard  4348: /************** Inverse of matrix **************/
                   4349: void ludcmp(double **a, int n, int *indx, double *d) 
                   4350: { 
                   4351:   int i,imax,j,k; 
                   4352:   double big,dum,sum,temp; 
                   4353:   double *vv; 
                   4354:  
                   4355:   vv=vector(1,n); 
                   4356:   *d=1.0; 
                   4357:   for (i=1;i<=n;i++) { 
                   4358:     big=0.0; 
                   4359:     for (j=1;j<=n;j++) 
                   4360:       if ((temp=fabs(a[i][j])) > big) big=temp; 
1.256     brouard  4361:     if (big == 0.0){
                   4362:       printf(" Singular Hessian matrix at row %d:\n",i);
                   4363:       for (j=1;j<=n;j++) {
                   4364:        printf(" a[%d][%d]=%f,",i,j,a[i][j]);
                   4365:        fprintf(ficlog," a[%d][%d]=%f,",i,j,a[i][j]);
                   4366:       }
                   4367:       fflush(ficlog);
                   4368:       fclose(ficlog);
                   4369:       nrerror("Singular matrix in routine ludcmp"); 
                   4370:     }
1.126     brouard  4371:     vv[i]=1.0/big; 
                   4372:   } 
                   4373:   for (j=1;j<=n;j++) { 
                   4374:     for (i=1;i<j;i++) { 
                   4375:       sum=a[i][j]; 
                   4376:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   4377:       a[i][j]=sum; 
                   4378:     } 
                   4379:     big=0.0; 
                   4380:     for (i=j;i<=n;i++) { 
                   4381:       sum=a[i][j]; 
                   4382:       for (k=1;k<j;k++) 
                   4383:        sum -= a[i][k]*a[k][j]; 
                   4384:       a[i][j]=sum; 
                   4385:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   4386:        big=dum; 
                   4387:        imax=i; 
                   4388:       } 
                   4389:     } 
                   4390:     if (j != imax) { 
                   4391:       for (k=1;k<=n;k++) { 
                   4392:        dum=a[imax][k]; 
                   4393:        a[imax][k]=a[j][k]; 
                   4394:        a[j][k]=dum; 
                   4395:       } 
                   4396:       *d = -(*d); 
                   4397:       vv[imax]=vv[j]; 
                   4398:     } 
                   4399:     indx[j]=imax; 
                   4400:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   4401:     if (j != n) { 
                   4402:       dum=1.0/(a[j][j]); 
                   4403:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   4404:     } 
                   4405:   } 
                   4406:   free_vector(vv,1,n);  /* Doesn't work */
                   4407: ;
                   4408: } 
                   4409: 
                   4410: void lubksb(double **a, int n, int *indx, double b[]) 
                   4411: { 
                   4412:   int i,ii=0,ip,j; 
                   4413:   double sum; 
                   4414:  
                   4415:   for (i=1;i<=n;i++) { 
                   4416:     ip=indx[i]; 
                   4417:     sum=b[ip]; 
                   4418:     b[ip]=b[i]; 
                   4419:     if (ii) 
                   4420:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   4421:     else if (sum) ii=i; 
                   4422:     b[i]=sum; 
                   4423:   } 
                   4424:   for (i=n;i>=1;i--) { 
                   4425:     sum=b[i]; 
                   4426:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   4427:     b[i]=sum/a[i][i]; 
                   4428:   } 
                   4429: } 
                   4430: 
                   4431: void pstamp(FILE *fichier)
                   4432: {
1.196     brouard  4433:   fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
1.126     brouard  4434: }
                   4435: 
1.297     brouard  4436: void date2dmy(double date,double *day, double *month, double *year){
                   4437:   double yp=0., yp1=0., yp2=0.;
                   4438:   
                   4439:   yp1=modf(date,&yp);/* extracts integral of date in yp  and
                   4440:                        fractional in yp1 */
                   4441:   *year=yp;
                   4442:   yp2=modf((yp1*12),&yp);
                   4443:   *month=yp;
                   4444:   yp1=modf((yp2*30.5),&yp);
                   4445:   *day=yp;
                   4446:   if(*day==0) *day=1;
                   4447:   if(*month==0) *month=1;
                   4448: }
                   4449: 
1.253     brouard  4450: 
                   4451: 
1.126     brouard  4452: /************ Frequencies ********************/
1.251     brouard  4453: void  freqsummary(char fileres[], double p[], double pstart[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, \
1.226     brouard  4454:                  int *Tvaraff, int *invalidvarcomb, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[], \
                   4455:                  int firstpass,  int lastpass, int stepm, int weightopt, char model[])
1.250     brouard  4456: {  /* Some frequencies as well as proposing some starting values */
1.226     brouard  4457:   
1.265     brouard  4458:   int i, m, jk, j1, bool, z1,j, nj, nl, k, iv, jj=0, s1=1, s2=1;
1.226     brouard  4459:   int iind=0, iage=0;
                   4460:   int mi; /* Effective wave */
                   4461:   int first;
                   4462:   double ***freq; /* Frequencies */
1.268     brouard  4463:   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 */
                   4464:   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  4465:   double *meanq, *stdq, *idq;
1.226     brouard  4466:   double **meanqt;
                   4467:   double *pp, **prop, *posprop, *pospropt;
                   4468:   double pos=0., posproptt=0., pospropta=0., k2, dateintsum=0,k2cpt=0;
                   4469:   char fileresp[FILENAMELENGTH], fileresphtm[FILENAMELENGTH], fileresphtmfr[FILENAMELENGTH];
                   4470:   double agebegin, ageend;
                   4471:     
                   4472:   pp=vector(1,nlstate);
1.251     brouard  4473:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+4+AGEMARGE); 
1.226     brouard  4474:   posprop=vector(1,nlstate); /* Counting the number of transition starting from a live state per age */ 
                   4475:   pospropt=vector(1,nlstate); /* Counting the number of transition starting from a live state */ 
                   4476:   /* prop=matrix(1,nlstate,iagemin,iagemax+3); */
                   4477:   meanq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.284     brouard  4478:   stdq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.283     brouard  4479:   idq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.226     brouard  4480:   meanqt=matrix(1,lastpass,1,nqtveff);
                   4481:   strcpy(fileresp,"P_");
                   4482:   strcat(fileresp,fileresu);
                   4483:   /*strcat(fileresphtm,fileresu);*/
                   4484:   if((ficresp=fopen(fileresp,"w"))==NULL) {
                   4485:     printf("Problem with prevalence resultfile: %s\n", fileresp);
                   4486:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
                   4487:     exit(0);
                   4488:   }
1.240     brouard  4489:   
1.226     brouard  4490:   strcpy(fileresphtm,subdirfext(optionfilefiname,"PHTM_",".htm"));
                   4491:   if((ficresphtm=fopen(fileresphtm,"w"))==NULL) {
                   4492:     printf("Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   4493:     fprintf(ficlog,"Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   4494:     fflush(ficlog);
                   4495:     exit(70); 
                   4496:   }
                   4497:   else{
                   4498:     fprintf(ficresphtm,"<html><head>\n<title>IMaCh PHTM_ %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
1.240     brouard  4499: <hr size=\"2\" color=\"#EC5E5E\"> \n                                   \
1.214     brouard  4500: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  4501:            fileresphtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   4502:   }
1.237     brouard  4503:   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  4504:   
1.226     brouard  4505:   strcpy(fileresphtmfr,subdirfext(optionfilefiname,"PHTMFR_",".htm"));
                   4506:   if((ficresphtmfr=fopen(fileresphtmfr,"w"))==NULL) {
                   4507:     printf("Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   4508:     fprintf(ficlog,"Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   4509:     fflush(ficlog);
                   4510:     exit(70); 
1.240     brouard  4511:   } else{
1.226     brouard  4512:     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  4513: <hr size=\"2\" color=\"#EC5E5E\"> \n                                   \
1.214     brouard  4514: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  4515:            fileresphtmfr,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   4516:   }
1.240     brouard  4517:   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);
                   4518:   
1.253     brouard  4519:   y= vector(iagemin-AGEMARGE,iagemax+4+AGEMARGE);
                   4520:   x= vector(iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.251     brouard  4521:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.226     brouard  4522:   j1=0;
1.126     brouard  4523:   
1.227     brouard  4524:   /* j=ncoveff;  /\* Only fixed dummy covariates *\/ */
                   4525:   j=cptcoveff;  /* Only dummy covariates of the model */
1.226     brouard  4526:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.240     brouard  4527:   
                   4528:   
1.226     brouard  4529:   /* Detects if a combination j1 is empty: for a multinomial variable like 3 education levels:
                   4530:      reference=low_education V1=0,V2=0
                   4531:      med_educ                V1=1 V2=0, 
                   4532:      high_educ               V1=0 V2=1
                   4533:      Then V1=1 and V2=1 is a noisy combination that we want to exclude for the list 2**cptcoveff 
                   4534:   */
1.249     brouard  4535:   dateintsum=0;
                   4536:   k2cpt=0;
                   4537: 
1.253     brouard  4538:   if(cptcoveff == 0 )
1.265     brouard  4539:     nl=1;  /* Constant and age model only */
1.253     brouard  4540:   else
                   4541:     nl=2;
1.265     brouard  4542: 
                   4543:   /* if a constant only model, one pass to compute frequency tables and to write it on ficresp */
                   4544:   /* Loop on nj=1 or 2 if dummy covariates j!=0
                   4545:    *   Loop on j1(1 to 2**cptcoveff) covariate combination
                   4546:    *     freq[s1][s2][iage] =0.
                   4547:    *     Loop on iind
                   4548:    *       ++freq[s1][s2][iage] weighted
                   4549:    *     end iind
                   4550:    *     if covariate and j!0
                   4551:    *       headers Variable on one line
                   4552:    *     endif cov j!=0
                   4553:    *     header of frequency table by age
                   4554:    *     Loop on age
                   4555:    *       pp[s1]+=freq[s1][s2][iage] weighted
                   4556:    *       pos+=freq[s1][s2][iage] weighted
                   4557:    *       Loop on s1 initial state
                   4558:    *         fprintf(ficresp
                   4559:    *       end s1
                   4560:    *     end age
                   4561:    *     if j!=0 computes starting values
                   4562:    *     end compute starting values
                   4563:    *   end j1
                   4564:    * end nl 
                   4565:    */
1.253     brouard  4566:   for (nj = 1; nj <= nl; nj++){   /* nj= 1 constant model, nl number of loops. */
                   4567:     if(nj==1)
                   4568:       j=0;  /* First pass for the constant */
1.265     brouard  4569:     else{
1.253     brouard  4570:       j=cptcoveff; /* Other passes for the covariate values */
1.265     brouard  4571:     }
1.251     brouard  4572:     first=1;
1.265     brouard  4573:     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  4574:       posproptt=0.;
                   4575:       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
                   4576:        scanf("%d", i);*/
                   4577:       for (i=-5; i<=nlstate+ndeath; i++)  
1.265     brouard  4578:        for (s2=-5; s2<=nlstate+ndeath; s2++)  
1.251     brouard  4579:          for(m=iagemin; m <= iagemax+3; m++)
1.265     brouard  4580:            freq[i][s2][m]=0;
1.251     brouard  4581:       
                   4582:       for (i=1; i<=nlstate; i++)  {
1.240     brouard  4583:        for(m=iagemin; m <= iagemax+3; m++)
1.251     brouard  4584:          prop[i][m]=0;
                   4585:        posprop[i]=0;
                   4586:        pospropt[i]=0;
                   4587:       }
1.283     brouard  4588:       for (z1=1; z1<= nqfveff; z1++) { /* zeroing for each combination j1 as well as for the total */
1.284     brouard  4589:         idq[z1]=0.;
                   4590:         meanq[z1]=0.;
                   4591:         stdq[z1]=0.;
1.283     brouard  4592:       }
                   4593:       /* for (z1=1; z1<= nqtveff; z1++) { */
1.251     brouard  4594:       /*   for(m=1;m<=lastpass;m++){ */
1.283     brouard  4595:       /*         meanqt[m][z1]=0.; */
                   4596:       /*       } */
                   4597:       /* }       */
1.251     brouard  4598:       /* dateintsum=0; */
                   4599:       /* k2cpt=0; */
                   4600:       
1.265     brouard  4601:       /* For that combination of covariates j1 (V4=1 V3=0 for example), we count and print the frequencies in one pass */
1.251     brouard  4602:       for (iind=1; iind<=imx; iind++) { /* For each individual iind */
                   4603:        bool=1;
                   4604:        if(j !=0){
                   4605:          if(anyvaryingduminmodel==0){ /* If All fixed covariates */
                   4606:            if (cptcoveff >0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
                   4607:              for (z1=1; z1<=cptcoveff; z1++) { /* loops on covariates in the model */
                   4608:                /* if(Tvaraff[z1] ==-20){ */
                   4609:                /*       /\* sumnew+=cotvar[mw[mi][iind]][z1][iind]; *\/ */
                   4610:                /* }else  if(Tvaraff[z1] ==-10){ */
                   4611:                /*       /\* sumnew+=coqvar[z1][iind]; *\/ */
                   4612:                /* }else  */
                   4613:                if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){ /* for combination j1 of covariates */
1.265     brouard  4614:                  /* Tests if the value of the covariate z1 for this individual iind responded to combination j1 (V4=1 V3=0) */
1.251     brouard  4615:                  bool=0; /* bool should be equal to 1 to be selected, one covariate value failed */
                   4616:                  /* 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", 
                   4617:                     bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
                   4618:                     j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
                   4619:                  /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
                   4620:                } /* Onlyf fixed */
                   4621:              } /* end z1 */
                   4622:            } /* cptcovn > 0 */
                   4623:          } /* end any */
                   4624:        }/* end j==0 */
1.265     brouard  4625:        if (bool==1){ /* We selected an individual iind satisfying combination j1 (V4=1 V3=0) or all fixed covariates */
1.251     brouard  4626:          /* for(m=firstpass; m<=lastpass; m++){ */
1.284     brouard  4627:          for(mi=1; mi<wav[iind];mi++){ /* For each wave */
1.251     brouard  4628:            m=mw[mi][iind];
                   4629:            if(j!=0){
                   4630:              if(anyvaryingduminmodel==1){ /* Some are varying covariates */
                   4631:                for (z1=1; z1<=cptcoveff; z1++) {
                   4632:                  if( Fixed[Tmodelind[z1]]==1){
                   4633:                    iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   4634:                    if (cotvar[m][iv][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality. If covariate's 
                   4635:                                                                                      value is -1, we don't select. It differs from the 
                   4636:                                                                                      constant and age model which counts them. */
                   4637:                      bool=0; /* not selected */
                   4638:                  }else if( Fixed[Tmodelind[z1]]== 0) { /* fixed */
                   4639:                    if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   4640:                      bool=0;
                   4641:                    }
                   4642:                  }
                   4643:                }
                   4644:              }/* Some are varying covariates, we tried to speed up if all fixed covariates in the model, avoiding waves loop  */
                   4645:            } /* end j==0 */
                   4646:            /* bool =0 we keep that guy which corresponds to the combination of dummy values */
1.284     brouard  4647:            if(bool==1){ /*Selected */
1.251     brouard  4648:              /* dh[m][iind] or dh[mw[mi][iind]][iind] is the delay between two effective (mi) waves m=mw[mi][iind]
                   4649:                 and mw[mi+1][iind]. dh depends on stepm. */
                   4650:              agebegin=agev[m][iind]; /* Age at beginning of wave before transition*/
                   4651:              ageend=agev[m][iind]+(dh[m][iind])*stepm/YEARM; /* Age at end of wave and transition */
                   4652:              if(m >=firstpass && m <=lastpass){
                   4653:                k2=anint[m][iind]+(mint[m][iind]/12.);
                   4654:                /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   4655:                if(agev[m][iind]==0) agev[m][iind]=iagemax+1;  /* All ages equal to 0 are in iagemax+1 */
                   4656:                if(agev[m][iind]==1) agev[m][iind]=iagemax+2;  /* All ages equal to 1 are in iagemax+2 */
                   4657:                if (s[m][iind]>0 && s[m][iind]<=nlstate)  /* If status at wave m is known and a live state */
                   4658:                  prop[s[m][iind]][(int)agev[m][iind]] += weight[iind];  /* At age of beginning of transition, where status is known */
                   4659:                if (m<lastpass) {
                   4660:                  /* if(s[m][iind]==4 && s[m+1][iind]==4) */
                   4661:                  /*   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]); */
                   4662:                  if(s[m][iind]==-1)
                   4663:                    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.));
                   4664:                  freq[s[m][iind]][s[m+1][iind]][(int)agev[m][iind]] += weight[iind]; /* At age of beginning of transition, where status is known */
1.284     brouard  4665:                  for (z1=1; z1<= nqfveff; z1++) { /* Quantitative variables, calculating mean */
                   4666:                    idq[z1]=idq[z1]+weight[iind];
                   4667:                    meanq[z1]+=covar[ncovcol+z1][iind]*weight[iind];  /* Computes mean of quantitative with selected filter */
                   4668:                    stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]*weight[iind]; /* *weight[iind];*/  /* Computes mean of quantitative with selected filter */
                   4669:                  }
1.251     brouard  4670:                  /* if((int)agev[m][iind] == 55) */
                   4671:                  /*   printf("j=%d, j1=%d Age %d, iind=%d, num=%09ld m=%d\n",j,j1,(int)agev[m][iind],iind, num[iind],m); */
                   4672:                  /* freq[s[m][iind]][s[m+1][iind]][(int)((agebegin+ageend)/2.)] += weight[iind]; */
                   4673:                  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  4674:                }
1.251     brouard  4675:              } /* end if between passes */  
                   4676:              if ((agev[m][iind]>1) && (agev[m][iind]< (iagemax+3)) && (anint[m][iind]!=9999) && (mint[m][iind]!=99) && (j==0)) {
                   4677:                dateintsum=dateintsum+k2; /* on all covariates ?*/
                   4678:                k2cpt++;
                   4679:                /* printf("iind=%ld dateintmean = %lf dateintsum=%lf k2cpt=%lf k2=%lf\n",iind, dateintsum/k2cpt, dateintsum,k2cpt, k2); */
1.234     brouard  4680:              }
1.251     brouard  4681:            }else{
                   4682:              bool=1;
                   4683:            }/* end bool 2 */
                   4684:          } /* end m */
1.284     brouard  4685:          /* for (z1=1; z1<= nqfveff; z1++) { /\* Quantitative variables, calculating mean *\/ */
                   4686:          /*   idq[z1]=idq[z1]+weight[iind]; */
                   4687:          /*   meanq[z1]+=covar[ncovcol+z1][iind]*weight[iind];  /\* Computes mean of quantitative with selected filter *\/ */
                   4688:          /*   stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]*weight[iind]; /\* *weight[iind];*\/  /\* Computes mean of quantitative with selected filter *\/ */
                   4689:          /* } */
1.251     brouard  4690:        } /* end bool */
                   4691:       } /* end iind = 1 to imx */
                   4692:       /* prop[s][age] is feeded for any initial and valid live state as well as
                   4693:         freq[s1][s2][age] at single age of beginning the transition, for a combination j1 */
                   4694:       
                   4695:       
                   4696:       /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
1.265     brouard  4697:       if(cptcoveff==0 && nj==1) /* no covariate and first pass */
                   4698:         pstamp(ficresp);
1.251     brouard  4699:       if  (cptcoveff>0 && j!=0){
1.265     brouard  4700:         pstamp(ficresp);
1.251     brouard  4701:        printf( "\n#********** Variable "); 
                   4702:        fprintf(ficresp, "\n#********** Variable "); 
                   4703:        fprintf(ficresphtm, "\n<br/><br/><h3>********** Variable "); 
                   4704:        fprintf(ficresphtmfr, "\n<br/><br/><h3>********** Variable "); 
                   4705:        fprintf(ficlog, "\n#********** Variable "); 
                   4706:        for (z1=1; z1<=cptcoveff; z1++){
                   4707:          if(!FixedV[Tvaraff[z1]]){
                   4708:            printf( "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4709:            fprintf(ficresp, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4710:            fprintf(ficresphtm, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4711:            fprintf(ficresphtmfr, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4712:            fprintf(ficlog, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.250     brouard  4713:          }else{
1.251     brouard  4714:            printf( "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4715:            fprintf(ficresp, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4716:            fprintf(ficresphtm, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4717:            fprintf(ficresphtmfr, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4718:            fprintf(ficlog, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4719:          }
                   4720:        }
                   4721:        printf( "**********\n#");
                   4722:        fprintf(ficresp, "**********\n#");
                   4723:        fprintf(ficresphtm, "**********</h3>\n");
                   4724:        fprintf(ficresphtmfr, "**********</h3>\n");
                   4725:        fprintf(ficlog, "**********\n");
                   4726:       }
1.284     brouard  4727:       /*
                   4728:        Printing means of quantitative variables if any
                   4729:       */
                   4730:       for (z1=1; z1<= nqfveff; z1++) {
1.285     brouard  4731:        fprintf(ficlog,"Mean of fixed quantitative variable V%d on %.0f individuals sum=%f", ncovcol+z1, idq[z1], meanq[z1]);
1.284     brouard  4732:        fprintf(ficlog,", mean=%.3g\n",meanq[z1]/idq[z1]);
                   4733:        if(weightopt==1){
                   4734:          printf(" Weighted mean and standard deviation of");
                   4735:          fprintf(ficlog," Weighted mean and standard deviation of");
                   4736:          fprintf(ficresphtmfr," Weighted mean and standard deviation of");
                   4737:        }
1.285     brouard  4738:        printf(" fixed quantitative variable V%d on %.0f representatives of the population : %6.3g (%6.3g)\n", ncovcol+z1, idq[z1],meanq[z1]/idq[z1], sqrt((stdq[z1]-meanq[z1]*meanq[z1]/idq[z1])/idq[z1]));
                   4739:        fprintf(ficlog," fixed quantitative variable V%d on %.0f representatives of the population : %6.3g (%6.3g)\n", ncovcol+z1, idq[z1],meanq[z1]/idq[z1], sqrt((stdq[z1]-meanq[z1]*meanq[z1]/idq[z1])/idq[z1]));
                   4740:        fprintf(ficresphtmfr," fixed quantitative variable V%d on %.0f representatives of the population : %6.3g (%6.3g)<p>\n", ncovcol+z1, idq[z1],meanq[z1]/idq[z1], sqrt((stdq[z1]-meanq[z1]*meanq[z1]/idq[z1])/idq[z1]));
1.284     brouard  4741:       }
                   4742:       /* for (z1=1; z1<= nqtveff; z1++) { */
                   4743:       /*       for(m=1;m<=lastpass;m++){ */
                   4744:       /*         fprintf(ficresphtmfr,"V quantitative id %d, pass id=%d, mean=%f<p>\n", z1, m, meanqt[m][z1]); */
                   4745:       /*   } */
                   4746:       /* } */
1.283     brouard  4747: 
1.251     brouard  4748:       fprintf(ficresphtm,"<table style=\"text-align:center; border: 1px solid\">");
1.265     brouard  4749:       if((cptcoveff==0 && nj==1)|| nj==2 ) /* no covariate and first pass */
                   4750:         fprintf(ficresp, " Age");
                   4751:       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  4752:       for(i=1; i<=nlstate;i++) {
1.265     brouard  4753:        if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp," Prev(%d)  N(%d)  N  ",i,i);
1.251     brouard  4754:        fprintf(ficresphtm, "<th>Age</th><th>Prev(%d)</th><th>N(%d)</th><th>N</th>",i,i);
                   4755:       }
1.265     brouard  4756:       if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp, "\n");
1.251     brouard  4757:       fprintf(ficresphtm, "\n");
                   4758:       
                   4759:       /* Header of frequency table by age */
                   4760:       fprintf(ficresphtmfr,"<table style=\"text-align:center; border: 1px solid\">");
                   4761:       fprintf(ficresphtmfr,"<th>Age</th> ");
1.265     brouard  4762:       for(s2=-1; s2 <=nlstate+ndeath; s2++){
1.251     brouard  4763:        for(m=-1; m <=nlstate+ndeath; m++){
1.265     brouard  4764:          if(s2!=0 && m!=0)
                   4765:            fprintf(ficresphtmfr,"<th>%d%d</th> ",s2,m);
1.240     brouard  4766:        }
1.226     brouard  4767:       }
1.251     brouard  4768:       fprintf(ficresphtmfr, "\n");
                   4769:     
                   4770:       /* For each age */
                   4771:       for(iage=iagemin; iage <= iagemax+3; iage++){
                   4772:        fprintf(ficresphtm,"<tr>");
                   4773:        if(iage==iagemax+1){
                   4774:          fprintf(ficlog,"1");
                   4775:          fprintf(ficresphtmfr,"<tr><th>0</th> ");
                   4776:        }else if(iage==iagemax+2){
                   4777:          fprintf(ficlog,"0");
                   4778:          fprintf(ficresphtmfr,"<tr><th>Unknown</th> ");
                   4779:        }else if(iage==iagemax+3){
                   4780:          fprintf(ficlog,"Total");
                   4781:          fprintf(ficresphtmfr,"<tr><th>Total</th> ");
                   4782:        }else{
1.240     brouard  4783:          if(first==1){
1.251     brouard  4784:            first=0;
                   4785:            printf("See log file for details...\n");
                   4786:          }
                   4787:          fprintf(ficresphtmfr,"<tr><th>%d</th> ",iage);
                   4788:          fprintf(ficlog,"Age %d", iage);
                   4789:        }
1.265     brouard  4790:        for(s1=1; s1 <=nlstate ; s1++){
                   4791:          for(m=-1, pp[s1]=0; m <=nlstate+ndeath ; m++)
                   4792:            pp[s1] += freq[s1][m][iage]; 
1.251     brouard  4793:        }
1.265     brouard  4794:        for(s1=1; s1 <=nlstate ; s1++){
1.251     brouard  4795:          for(m=-1, pos=0; m <=0 ; m++)
1.265     brouard  4796:            pos += freq[s1][m][iage];
                   4797:          if(pp[s1]>=1.e-10){
1.251     brouard  4798:            if(first==1){
1.265     brouard  4799:              printf(" %d.=%.0f loss[%d]=%.1f%%",s1,pp[s1],s1,100*pos/pp[s1]);
1.251     brouard  4800:            }
1.265     brouard  4801:            fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",s1,pp[s1],s1,100*pos/pp[s1]);
1.251     brouard  4802:          }else{
                   4803:            if(first==1)
1.265     brouard  4804:              printf(" %d.=%.0f loss[%d]=NaNQ%%",s1,pp[s1],s1);
                   4805:            fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",s1,pp[s1],s1);
1.240     brouard  4806:          }
                   4807:        }
                   4808:       
1.265     brouard  4809:        for(s1=1; s1 <=nlstate ; s1++){ 
                   4810:          /* posprop[s1]=0; */
                   4811:          for(m=0, pp[s1]=0; m <=nlstate+ndeath; m++)/* Summing on all ages */
                   4812:            pp[s1] += freq[s1][m][iage];
                   4813:        }       /* pp[s1] is the total number of transitions starting from state s1 and any ending status until this age */
                   4814:       
                   4815:        for(s1=1,pos=0, pospropta=0.; s1 <=nlstate ; s1++){
                   4816:          pos += pp[s1]; /* pos is the total number of transitions until this age */
                   4817:          posprop[s1] += prop[s1][iage]; /* prop is the number of transitions from a live state
                   4818:                                            from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4819:          pospropta += prop[s1][iage]; /* prop is the number of transitions from a live state
                   4820:                                          from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4821:        }
                   4822:        
                   4823:        /* Writing ficresp */
                   4824:        if(cptcoveff==0 && nj==1){ /* no covariate and first pass */
                   4825:           if( iage <= iagemax){
                   4826:            fprintf(ficresp," %d",iage);
                   4827:           }
                   4828:         }else if( nj==2){
                   4829:           if( iage <= iagemax){
                   4830:            fprintf(ficresp," %d",iage);
                   4831:             for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, " %d %d",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4832:           }
1.240     brouard  4833:        }
1.265     brouard  4834:        for(s1=1; s1 <=nlstate ; s1++){
1.240     brouard  4835:          if(pos>=1.e-5){
1.251     brouard  4836:            if(first==1)
1.265     brouard  4837:              printf(" %d.=%.0f prev[%d]=%.1f%%",s1,pp[s1],s1,100*pp[s1]/pos);
                   4838:            fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",s1,pp[s1],s1,100*pp[s1]/pos);
1.251     brouard  4839:          }else{
                   4840:            if(first==1)
1.265     brouard  4841:              printf(" %d.=%.0f prev[%d]=NaNQ%%",s1,pp[s1],s1);
                   4842:            fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",s1,pp[s1],s1);
1.251     brouard  4843:          }
                   4844:          if( iage <= iagemax){
                   4845:            if(pos>=1.e-5){
1.265     brouard  4846:              if(cptcoveff==0 && nj==1){ /* no covariate and first pass */
                   4847:                fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   4848:               }else if( nj==2){
                   4849:                fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   4850:               }
                   4851:              fprintf(ficresphtm,"<th>%d</th><td>%.5f</td><td>%.0f</td><td>%.0f</td>",iage,prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   4852:              /*probs[iage][s1][j1]= pp[s1]/pos;*/
                   4853:              /*printf("\niage=%d s1=%d j1=%d %.5f %.0f %.0f %f",iage,s1,j1,pp[s1]/pos, pp[s1],pos,probs[iage][s1][j1]);*/
                   4854:            } else{
                   4855:              if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp," NaNq %.0f %.0f",prop[s1][iage],pospropta);
                   4856:              fprintf(ficresphtm,"<th>%d</th><td>NaNq</td><td>%.0f</td><td>%.0f</td>",iage, prop[s1][iage],pospropta);
1.251     brouard  4857:            }
1.240     brouard  4858:          }
1.265     brouard  4859:          pospropt[s1] +=posprop[s1];
                   4860:        } /* end loop s1 */
1.251     brouard  4861:        /* pospropt=0.; */
1.265     brouard  4862:        for(s1=-1; s1 <=nlstate+ndeath; s1++){
1.251     brouard  4863:          for(m=-1; m <=nlstate+ndeath; m++){
1.265     brouard  4864:            if(freq[s1][m][iage] !=0 ) { /* minimizing output */
1.251     brouard  4865:              if(first==1){
1.265     brouard  4866:                printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]);
1.251     brouard  4867:              }
1.265     brouard  4868:              /* printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]); */
                   4869:              fprintf(ficlog," %d%d=%.0f",s1,m,freq[s1][m][iage]);
1.251     brouard  4870:            }
1.265     brouard  4871:            if(s1!=0 && m!=0)
                   4872:              fprintf(ficresphtmfr,"<td>%.0f</td> ",freq[s1][m][iage]);
1.240     brouard  4873:          }
1.265     brouard  4874:        } /* end loop s1 */
1.251     brouard  4875:        posproptt=0.; 
1.265     brouard  4876:        for(s1=1; s1 <=nlstate; s1++){
                   4877:          posproptt += pospropt[s1];
1.251     brouard  4878:        }
                   4879:        fprintf(ficresphtmfr,"</tr>\n ");
1.265     brouard  4880:        fprintf(ficresphtm,"</tr>\n");
                   4881:        if((cptcoveff==0 && nj==1)|| nj==2 ) {
                   4882:          if(iage <= iagemax)
                   4883:            fprintf(ficresp,"\n");
1.240     brouard  4884:        }
1.251     brouard  4885:        if(first==1)
                   4886:          printf("Others in log...\n");
                   4887:        fprintf(ficlog,"\n");
                   4888:       } /* end loop age iage */
1.265     brouard  4889:       
1.251     brouard  4890:       fprintf(ficresphtm,"<tr><th>Tot</th>");
1.265     brouard  4891:       for(s1=1; s1 <=nlstate ; s1++){
1.251     brouard  4892:        if(posproptt < 1.e-5){
1.265     brouard  4893:          fprintf(ficresphtm,"<td>Nanq</td><td>%.0f</td><td>%.0f</td>",pospropt[s1],posproptt); 
1.251     brouard  4894:        }else{
1.265     brouard  4895:          fprintf(ficresphtm,"<td>%.5f</td><td>%.0f</td><td>%.0f</td>",pospropt[s1]/posproptt,pospropt[s1],posproptt);  
1.240     brouard  4896:        }
1.226     brouard  4897:       }
1.251     brouard  4898:       fprintf(ficresphtm,"</tr>\n");
                   4899:       fprintf(ficresphtm,"</table>\n");
                   4900:       fprintf(ficresphtmfr,"</table>\n");
1.226     brouard  4901:       if(posproptt < 1.e-5){
1.251     brouard  4902:        fprintf(ficresphtm,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
                   4903:        fprintf(ficresphtmfr,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
1.260     brouard  4904:        fprintf(ficlog,"#  This combination (%d) is not valid and no result will be produced\n",j1);
                   4905:        printf("#  This combination (%d) is not valid and no result will be produced\n",j1);
1.251     brouard  4906:        invalidvarcomb[j1]=1;
1.226     brouard  4907:       }else{
1.251     brouard  4908:        fprintf(ficresphtm,"\n <p> This combination (%d) is valid and result will be produced.</p>",j1);
                   4909:        invalidvarcomb[j1]=0;
1.226     brouard  4910:       }
1.251     brouard  4911:       fprintf(ficresphtmfr,"</table>\n");
                   4912:       fprintf(ficlog,"\n");
                   4913:       if(j!=0){
                   4914:        printf("#Freqsummary: Starting values for combination j1=%d:\n", j1);
1.265     brouard  4915:        for(i=1,s1=1; i <=nlstate; i++){
1.251     brouard  4916:          for(k=1; k <=(nlstate+ndeath); k++){
                   4917:            if (k != i) {
1.265     brouard  4918:              for(jj=1; jj <=ncovmodel; jj++){ /* For counting s1 */
1.253     brouard  4919:                if(jj==1){  /* Constant case (in fact cste + age) */
1.251     brouard  4920:                  if(j1==1){ /* All dummy covariates to zero */
                   4921:                    freq[i][k][iagemax+4]=freq[i][k][iagemax+3]; /* Stores case 0 0 0 */
                   4922:                    freq[i][i][iagemax+4]=freq[i][i][iagemax+3]; /* Stores case 0 0 0 */
1.252     brouard  4923:                    printf("%d%d ",i,k);
                   4924:                    fprintf(ficlog,"%d%d ",i,k);
1.265     brouard  4925:                    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]));
                   4926:                    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]));
                   4927:                    pstart[s1]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]);
1.251     brouard  4928:                  }
1.253     brouard  4929:                }else if((j1==1) && (jj==2 || nagesqr==1)){ /* age or age*age parameter without covariate V4*age (to be done later) */
                   4930:                  for(iage=iagemin; iage <= iagemax+3; iage++){
                   4931:                    x[iage]= (double)iage;
                   4932:                    y[iage]= log(freq[i][k][iage]/freq[i][i][iage]);
1.265     brouard  4933:                    /* 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  4934:                  }
1.268     brouard  4935:                  /* Some are not finite, but linreg will ignore these ages */
                   4936:                  no=0;
1.253     brouard  4937:                  linreg(iagemin,iagemax,&no,x,y,&a,&b,&r, &sa, &sb ); /* y= a+b*x with standard errors */
1.265     brouard  4938:                  pstart[s1]=b;
                   4939:                  pstart[s1-1]=a;
1.252     brouard  4940:                }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 */ 
                   4941:                  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]);
                   4942:                  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  4943:                  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  4944:                  printf("%d%d ",i,k);
                   4945:                  fprintf(ficlog,"%d%d ",i,k);
1.265     brouard  4946:                  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  4947:                }else{ /* Other cases, like quantitative fixed or varying covariates */
                   4948:                  ;
                   4949:                }
                   4950:                /* printf("%12.7f )", param[i][jj][k]); */
                   4951:                /* fprintf(ficlog,"%12.7f )", param[i][jj][k]); */
1.265     brouard  4952:                s1++; 
1.251     brouard  4953:              } /* end jj */
                   4954:            } /* end k!= i */
                   4955:          } /* end k */
1.265     brouard  4956:        } /* end i, s1 */
1.251     brouard  4957:       } /* end j !=0 */
                   4958:     } /* end selected combination of covariate j1 */
                   4959:     if(j==0){ /* We can estimate starting values from the occurences in each case */
                   4960:       printf("#Freqsummary: Starting values for the constants:\n");
                   4961:       fprintf(ficlog,"\n");
1.265     brouard  4962:       for(i=1,s1=1; i <=nlstate; i++){
1.251     brouard  4963:        for(k=1; k <=(nlstate+ndeath); k++){
                   4964:          if (k != i) {
                   4965:            printf("%d%d ",i,k);
                   4966:            fprintf(ficlog,"%d%d ",i,k);
                   4967:            for(jj=1; jj <=ncovmodel; jj++){
1.265     brouard  4968:              pstart[s1]=p[s1]; /* Setting pstart to p values by default */
1.253     brouard  4969:              if(jj==1){ /* Age has to be done */
1.265     brouard  4970:                pstart[s1]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]);
                   4971:                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]));
                   4972:                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  4973:              }
                   4974:              /* printf("%12.7f )", param[i][jj][k]); */
                   4975:              /* fprintf(ficlog,"%12.7f )", param[i][jj][k]); */
1.265     brouard  4976:              s1++; 
1.250     brouard  4977:            }
1.251     brouard  4978:            printf("\n");
                   4979:            fprintf(ficlog,"\n");
1.250     brouard  4980:          }
                   4981:        }
1.284     brouard  4982:       } /* end of state i */
1.251     brouard  4983:       printf("#Freqsummary\n");
                   4984:       fprintf(ficlog,"\n");
1.265     brouard  4985:       for(s1=-1; s1 <=nlstate+ndeath; s1++){
                   4986:        for(s2=-1; s2 <=nlstate+ndeath; s2++){
                   4987:          /* param[i]|j][k]= freq[s1][s2][iagemax+3] */
                   4988:          printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]);
                   4989:          fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]);
                   4990:          /* if(freq[s1][s2][iage] !=0 ) { /\* minimizing output *\/ */
                   4991:          /*   printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); */
                   4992:          /*   fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); */
1.251     brouard  4993:          /* } */
                   4994:        }
1.265     brouard  4995:       } /* end loop s1 */
1.251     brouard  4996:       
                   4997:       printf("\n");
                   4998:       fprintf(ficlog,"\n");
                   4999:     } /* end j=0 */
1.249     brouard  5000:   } /* end j */
1.252     brouard  5001: 
1.253     brouard  5002:   if(mle == -2){  /* We want to use these values as starting values */
1.252     brouard  5003:     for(i=1, jk=1; i <=nlstate; i++){
                   5004:       for(j=1; j <=nlstate+ndeath; j++){
                   5005:        if(j!=i){
                   5006:          /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   5007:          printf("%1d%1d",i,j);
                   5008:          fprintf(ficparo,"%1d%1d",i,j);
                   5009:          for(k=1; k<=ncovmodel;k++){
                   5010:            /*    printf(" %lf",param[i][j][k]); */
                   5011:            /*    fprintf(ficparo," %lf",param[i][j][k]); */
                   5012:            p[jk]=pstart[jk];
                   5013:            printf(" %f ",pstart[jk]);
                   5014:            fprintf(ficparo," %f ",pstart[jk]);
                   5015:            jk++;
                   5016:          }
                   5017:          printf("\n");
                   5018:          fprintf(ficparo,"\n");
                   5019:        }
                   5020:       }
                   5021:     }
                   5022:   } /* end mle=-2 */
1.226     brouard  5023:   dateintmean=dateintsum/k2cpt; 
1.296     brouard  5024:   date2dmy(dateintmean,&jintmean,&mintmean,&aintmean);
1.240     brouard  5025:   
1.226     brouard  5026:   fclose(ficresp);
                   5027:   fclose(ficresphtm);
                   5028:   fclose(ficresphtmfr);
1.283     brouard  5029:   free_vector(idq,1,nqfveff);
1.226     brouard  5030:   free_vector(meanq,1,nqfveff);
1.284     brouard  5031:   free_vector(stdq,1,nqfveff);
1.226     brouard  5032:   free_matrix(meanqt,1,lastpass,1,nqtveff);
1.253     brouard  5033:   free_vector(x, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
                   5034:   free_vector(y, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.251     brouard  5035:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.226     brouard  5036:   free_vector(pospropt,1,nlstate);
                   5037:   free_vector(posprop,1,nlstate);
1.251     brouard  5038:   free_matrix(prop,1,nlstate,iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.226     brouard  5039:   free_vector(pp,1,nlstate);
                   5040:   /* End of freqsummary */
                   5041: }
1.126     brouard  5042: 
1.268     brouard  5043: /* Simple linear regression */
                   5044: int linreg(int ifi, int ila, int *no, const double x[], const double y[], double* a, double* b, double* r, double* sa, double * sb) {
                   5045: 
                   5046:   /* y=a+bx regression */
                   5047:   double   sumx = 0.0;                        /* sum of x                      */
                   5048:   double   sumx2 = 0.0;                       /* sum of x**2                   */
                   5049:   double   sumxy = 0.0;                       /* sum of x * y                  */
                   5050:   double   sumy = 0.0;                        /* sum of y                      */
                   5051:   double   sumy2 = 0.0;                       /* sum of y**2                   */
                   5052:   double   sume2 = 0.0;                       /* sum of square or residuals */
                   5053:   double yhat;
                   5054:   
                   5055:   double denom=0;
                   5056:   int i;
                   5057:   int ne=*no;
                   5058:   
                   5059:   for ( i=ifi, ne=0;i<=ila;i++) {
                   5060:     if(!isfinite(x[i]) || !isfinite(y[i])){
                   5061:       /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */
                   5062:       continue;
                   5063:     }
                   5064:     ne=ne+1;
                   5065:     sumx  += x[i];       
                   5066:     sumx2 += x[i]*x[i];  
                   5067:     sumxy += x[i] * y[i];
                   5068:     sumy  += y[i];      
                   5069:     sumy2 += y[i]*y[i]; 
                   5070:     denom = (ne * sumx2 - sumx*sumx);
                   5071:     /* 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); */
                   5072:   } 
                   5073:   
                   5074:   denom = (ne * sumx2 - sumx*sumx);
                   5075:   if (denom == 0) {
                   5076:     // vertical, slope m is infinity
                   5077:     *b = INFINITY;
                   5078:     *a = 0;
                   5079:     if (r) *r = 0;
                   5080:     return 1;
                   5081:   }
                   5082:   
                   5083:   *b = (ne * sumxy  -  sumx * sumy) / denom;
                   5084:   *a = (sumy * sumx2  -  sumx * sumxy) / denom;
                   5085:   if (r!=NULL) {
                   5086:     *r = (sumxy - sumx * sumy / ne) /          /* compute correlation coeff     */
                   5087:       sqrt((sumx2 - sumx*sumx/ne) *
                   5088:           (sumy2 - sumy*sumy/ne));
                   5089:   }
                   5090:   *no=ne;
                   5091:   for ( i=ifi, ne=0;i<=ila;i++) {
                   5092:     if(!isfinite(x[i]) || !isfinite(y[i])){
                   5093:       /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */
                   5094:       continue;
                   5095:     }
                   5096:     ne=ne+1;
                   5097:     yhat = y[i] - *a -*b* x[i];
                   5098:     sume2  += yhat * yhat ;       
                   5099:     
                   5100:     denom = (ne * sumx2 - sumx*sumx);
                   5101:     /* 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); */
                   5102:   } 
                   5103:   *sb = sqrt(sume2/(double)(ne-2)/(sumx2 - sumx * sumx /(double)ne));
                   5104:   *sa= *sb * sqrt(sumx2/ne);
                   5105:   
                   5106:   return 0; 
                   5107: }
                   5108: 
1.126     brouard  5109: /************ Prevalence ********************/
1.227     brouard  5110: 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)
                   5111: {  
                   5112:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   5113:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   5114:      We still use firstpass and lastpass as another selection.
                   5115:   */
1.126     brouard  5116:  
1.227     brouard  5117:   int i, m, jk, j1, bool, z1,j, iv;
                   5118:   int mi; /* Effective wave */
                   5119:   int iage;
                   5120:   double agebegin, ageend;
                   5121: 
                   5122:   double **prop;
                   5123:   double posprop; 
                   5124:   double  y2; /* in fractional years */
                   5125:   int iagemin, iagemax;
                   5126:   int first; /** to stop verbosity which is redirected to log file */
                   5127: 
                   5128:   iagemin= (int) agemin;
                   5129:   iagemax= (int) agemax;
                   5130:   /*pp=vector(1,nlstate);*/
1.251     brouard  5131:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+4+AGEMARGE); 
1.227     brouard  5132:   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   5133:   j1=0;
1.222     brouard  5134:   
1.227     brouard  5135:   /*j=cptcoveff;*/
                   5136:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.222     brouard  5137:   
1.288     brouard  5138:   first=0;
1.227     brouard  5139:   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ /* For each combination of covariate */
                   5140:     for (i=1; i<=nlstate; i++)  
1.251     brouard  5141:       for(iage=iagemin-AGEMARGE; iage <= iagemax+4+AGEMARGE; iage++)
1.227     brouard  5142:        prop[i][iage]=0.0;
                   5143:     printf("Prevalence combination of varying and fixed dummies %d\n",j1);
                   5144:     /* fprintf(ficlog," V%d=%d ",Tvaraff[j1],nbcode[Tvaraff[j1]][codtabm(k,j1)]); */
                   5145:     fprintf(ficlog,"Prevalence combination of varying and fixed dummies %d\n",j1);
                   5146:     
                   5147:     for (i=1; i<=imx; i++) { /* Each individual */
                   5148:       bool=1;
                   5149:       /* for(m=firstpass; m<=lastpass; m++){/\* Other selection (we can limit to certain interviews*\/ */
                   5150:       for(mi=1; mi<wav[i];mi++){ /* For this wave too look where individual can be counted V4=0 V3=0 */
                   5151:        m=mw[mi][i];
                   5152:        /* Tmodelind[z1]=k is the position of the varying covariate in the model, but which # within 1 to ntv? */
                   5153:        /* Tvar[Tmodelind[z1]] is the n of Vn; n-ncovcol-nqv is the first time varying covariate or iv */
                   5154:        for (z1=1; z1<=cptcoveff; z1++){
                   5155:          if( Fixed[Tmodelind[z1]]==1){
                   5156:            iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   5157:            if (cotvar[m][iv][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality */
                   5158:              bool=0;
                   5159:          }else if( Fixed[Tmodelind[z1]]== 0)  /* fixed */
                   5160:            if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   5161:              bool=0;
                   5162:            }
                   5163:        }
                   5164:        if(bool==1){ /* Otherwise we skip that wave/person */
                   5165:          agebegin=agev[m][i]; /* Age at beginning of wave before transition*/
                   5166:          /* ageend=agev[m][i]+(dh[m][i])*stepm/YEARM; /\* Age at end of wave and transition *\/ */
                   5167:          if(m >=firstpass && m <=lastpass){
                   5168:            y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                   5169:            if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                   5170:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   5171:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
1.251     brouard  5172:              if((int)agev[m][i] <iagemin-AGEMARGE || (int)agev[m][i] >iagemax+4+AGEMARGE){
1.227     brouard  5173:                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); 
                   5174:                exit(1);
                   5175:              }
                   5176:              if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   5177:                /*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]]);*/
                   5178:                prop[s[m][i]][(int)agev[m][i]] += weight[i];/* At age of beginning of transition, where status is known */
                   5179:                prop[s[m][i]][iagemax+3] += weight[i]; 
                   5180:              } /* end valid statuses */ 
                   5181:            } /* end selection of dates */
                   5182:          } /* end selection of waves */
                   5183:        } /* end bool */
                   5184:       } /* end wave */
                   5185:     } /* end individual */
                   5186:     for(i=iagemin; i <= iagemax+3; i++){  
                   5187:       for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
                   5188:        posprop += prop[jk][i]; 
                   5189:       } 
                   5190:       
                   5191:       for(jk=1; jk <=nlstate ; jk++){      
                   5192:        if( i <=  iagemax){ 
                   5193:          if(posprop>=1.e-5){ 
                   5194:            probs[i][jk][j1]= prop[jk][i]/posprop;
                   5195:          } else{
1.288     brouard  5196:            if(!first){
                   5197:              first=1;
1.266     brouard  5198:              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]);
                   5199:            }else{
1.288     brouard  5200:              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  5201:            }
                   5202:          }
                   5203:        } 
                   5204:       }/* end jk */ 
                   5205:     }/* end i */ 
1.222     brouard  5206:      /*} *//* end i1 */
1.227     brouard  5207:   } /* end j1 */
1.222     brouard  5208:   
1.227     brouard  5209:   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   5210:   /*free_vector(pp,1,nlstate);*/
1.251     brouard  5211:   free_matrix(prop,1,nlstate, iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.227     brouard  5212: }  /* End of prevalence */
1.126     brouard  5213: 
                   5214: /************* Waves Concatenation ***************/
                   5215: 
                   5216: 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)
                   5217: {
1.298     brouard  5218:   /* 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  5219:      Death is a valid wave (if date is known).
                   5220:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   5221:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
1.298     brouard  5222:      and mw[mi+1][i]. dh depends on stepm. s[m][i] exists for any wave from firstpass to lastpass
1.227     brouard  5223:   */
1.126     brouard  5224: 
1.224     brouard  5225:   int i=0, mi=0, m=0, mli=0;
1.126     brouard  5226:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   5227:      double sum=0., jmean=0.;*/
1.224     brouard  5228:   int first=0, firstwo=0, firsthree=0, firstfour=0, firstfiv=0;
1.126     brouard  5229:   int j, k=0,jk, ju, jl;
                   5230:   double sum=0.;
                   5231:   first=0;
1.214     brouard  5232:   firstwo=0;
1.217     brouard  5233:   firsthree=0;
1.218     brouard  5234:   firstfour=0;
1.164     brouard  5235:   jmin=100000;
1.126     brouard  5236:   jmax=-1;
                   5237:   jmean=0.;
1.224     brouard  5238: 
                   5239: /* Treating live states */
1.214     brouard  5240:   for(i=1; i<=imx; i++){  /* For simple cases and if state is death */
1.224     brouard  5241:     mi=0;  /* First valid wave */
1.227     brouard  5242:     mli=0; /* Last valid wave */
1.126     brouard  5243:     m=firstpass;
1.214     brouard  5244:     while(s[m][i] <= nlstate){  /* a live state */
1.227     brouard  5245:       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 */
                   5246:        mli=m-1;/* mw[++mi][i]=m-1; */
                   5247:       }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 */
                   5248:        mw[++mi][i]=m;
                   5249:        mli=m;
1.224     brouard  5250:       } /* else might be a useless wave  -1 and mi is not incremented and mw[mi] not updated */
                   5251:       if(m < lastpass){ /* m < lastpass, standard case */
1.227     brouard  5252:        m++; /* mi gives the "effective" current wave, m the current wave, go to next wave by incrementing m */
1.216     brouard  5253:       }
1.227     brouard  5254:       else{ /* m >= lastpass, eventual special issue with warning */
1.224     brouard  5255: #ifdef UNKNOWNSTATUSNOTCONTRIBUTING
1.227     brouard  5256:        break;
1.224     brouard  5257: #else
1.227     brouard  5258:        if(s[m][i]==-1 && (int) andc[i] == 9999 && (int)anint[m][i] != 9999){
                   5259:          if(firsthree == 0){
1.262     brouard  5260:            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  5261:            firsthree=1;
                   5262:          }
1.262     brouard  5263:          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);
1.227     brouard  5264:          mw[++mi][i]=m;
                   5265:          mli=m;
                   5266:        }
                   5267:        if(s[m][i]==-2){ /* Vital status is really unknown */
                   5268:          nbwarn++;
                   5269:          if((int)anint[m][i] == 9999){  /*  Has the vital status really been verified? */
                   5270:            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);
                   5271:            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);
                   5272:          }
                   5273:          break;
                   5274:        }
                   5275:        break;
1.224     brouard  5276: #endif
1.227     brouard  5277:       }/* End m >= lastpass */
1.126     brouard  5278:     }/* end while */
1.224     brouard  5279: 
1.227     brouard  5280:     /* 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  5281:     /* After last pass */
1.224     brouard  5282: /* Treating death states */
1.214     brouard  5283:     if (s[m][i] > nlstate){  /* In a death state */
1.227     brouard  5284:       /* if( mint[m][i]==mdc[m][i] && anint[m][i]==andc[m][i]){ /\* same date of death and date of interview *\/ */
                   5285:       /* } */
1.126     brouard  5286:       mi++;    /* Death is another wave */
                   5287:       /* if(mi==0)  never been interviewed correctly before death */
1.227     brouard  5288:       /* Only death is a correct wave */
1.126     brouard  5289:       mw[mi][i]=m;
1.257     brouard  5290:     } /* else not in a death state */
1.224     brouard  5291: #ifndef DISPATCHINGKNOWNDEATHAFTERLASTWAVE
1.257     brouard  5292:     else if ((int) andc[i] != 9999) {  /* Date of death is known */
1.218     brouard  5293:       if ((int)anint[m][i]!= 9999) { /* date of last interview is known */
1.227     brouard  5294:        if((andc[i]+moisdc[i]/12.) <=(anint[m][i]+mint[m][i]/12.)){ /* death occured before last wave and status should have been death instead of -1 */
                   5295:          nbwarn++;
                   5296:          if(firstfiv==0){
                   5297:            printf("Warning! Death for individual %ld line=%d occurred at %d/%d before last wave %d interviewed at %d/%d and should have been coded as death instead of '%d'. This case (%d)/wave (%d) is contributing to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
                   5298:            firstfiv=1;
                   5299:          }else{
                   5300:            fprintf(ficlog,"Warning! Death for individual %ld line=%d occurred at %d/%d before last wave %d interviewed at %d/%d and should have been coded as death instead of '%d'. This case (%d)/wave (%d) is contributing to likelihood.\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
                   5301:          }
                   5302:        }else{ /* Death occured afer last wave potential bias */
                   5303:          nberr++;
                   5304:          if(firstwo==0){
1.257     brouard  5305:            printf("Error! Death for individual %ld line=%d occurred at %d/%d after last wave %d interviewed at %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood. Please add a new fictive wave at the date of last vital status scan, with a dead status or alive but unknown state status (-1). 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], i,m );
1.227     brouard  5306:            firstwo=1;
                   5307:          }
1.257     brouard  5308:          fprintf(ficlog,"Error! Death for individual %ld line=%d occurred at %d/%d after last wave %d interviewed at %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood. Please add a new fictive wave at the date of last vital status scan, with a dead status or alive but unknown state status (-1). See documentation\n\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
1.227     brouard  5309:        }
1.257     brouard  5310:       }else{ /* if date of interview is unknown */
1.227     brouard  5311:        /* death is known but not confirmed by death status at any wave */
                   5312:        if(firstfour==0){
                   5313:          printf("Error! Death for individual %ld line=%d  occurred %d/%d but not confirmed by any death status for any wave, including last wave %d at unknown date %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
                   5314:          firstfour=1;
                   5315:        }
                   5316:        fprintf(ficlog,"Error! Death for individual %ld line=%d  occurred %d/%d but not confirmed by any death status for any wave, including last wave %d at unknown date %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
1.214     brouard  5317:       }
1.224     brouard  5318:     } /* end if date of death is known */
                   5319: #endif
                   5320:     wav[i]=mi; /* mi should be the last effective wave (or mli) */
                   5321:     /* wav[i]=mw[mi][i]; */
1.126     brouard  5322:     if(mi==0){
                   5323:       nbwarn++;
                   5324:       if(first==0){
1.227     brouard  5325:        printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   5326:        first=1;
1.126     brouard  5327:       }
                   5328:       if(first==1){
1.227     brouard  5329:        fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
1.126     brouard  5330:       }
                   5331:     } /* end mi==0 */
                   5332:   } /* End individuals */
1.214     brouard  5333:   /* wav and mw are no more changed */
1.223     brouard  5334:        
1.214     brouard  5335:   
1.126     brouard  5336:   for(i=1; i<=imx; i++){
                   5337:     for(mi=1; mi<wav[i];mi++){
                   5338:       if (stepm <=0)
1.227     brouard  5339:        dh[mi][i]=1;
1.126     brouard  5340:       else{
1.260     brouard  5341:        if (s[mw[mi+1][i]][i] > nlstate) { /* A death, but what if date is unknown? */
1.227     brouard  5342:          if (agedc[i] < 2*AGESUP) {
                   5343:            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   5344:            if(j==0) j=1;  /* Survives at least one month after exam */
                   5345:            else if(j<0){
                   5346:              nberr++;
                   5347:              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]);
                   5348:              j=1; /* Temporary Dangerous patch */
                   5349:              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);
                   5350:              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]);
                   5351:              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);
                   5352:            }
                   5353:            k=k+1;
                   5354:            if (j >= jmax){
                   5355:              jmax=j;
                   5356:              ijmax=i;
                   5357:            }
                   5358:            if (j <= jmin){
                   5359:              jmin=j;
                   5360:              ijmin=i;
                   5361:            }
                   5362:            sum=sum+j;
                   5363:            /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   5364:            /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   5365:          }
                   5366:        }
                   5367:        else{
                   5368:          j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
1.126     brouard  5369: /*       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  5370:                                        
1.227     brouard  5371:          k=k+1;
                   5372:          if (j >= jmax) {
                   5373:            jmax=j;
                   5374:            ijmax=i;
                   5375:          }
                   5376:          else if (j <= jmin){
                   5377:            jmin=j;
                   5378:            ijmin=i;
                   5379:          }
                   5380:          /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   5381:          /*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]);*/
                   5382:          if(j<0){
                   5383:            nberr++;
                   5384:            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]);
                   5385:            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]);
                   5386:          }
                   5387:          sum=sum+j;
                   5388:        }
                   5389:        jk= j/stepm;
                   5390:        jl= j -jk*stepm;
                   5391:        ju= j -(jk+1)*stepm;
                   5392:        if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   5393:          if(jl==0){
                   5394:            dh[mi][i]=jk;
                   5395:            bh[mi][i]=0;
                   5396:          }else{ /* We want a negative bias in order to only have interpolation ie
                   5397:                  * to avoid the price of an extra matrix product in likelihood */
                   5398:            dh[mi][i]=jk+1;
                   5399:            bh[mi][i]=ju;
                   5400:          }
                   5401:        }else{
                   5402:          if(jl <= -ju){
                   5403:            dh[mi][i]=jk;
                   5404:            bh[mi][i]=jl;       /* bias is positive if real duration
                   5405:                                 * is higher than the multiple of stepm and negative otherwise.
                   5406:                                 */
                   5407:          }
                   5408:          else{
                   5409:            dh[mi][i]=jk+1;
                   5410:            bh[mi][i]=ju;
                   5411:          }
                   5412:          if(dh[mi][i]==0){
                   5413:            dh[mi][i]=1; /* At least one step */
                   5414:            bh[mi][i]=ju; /* At least one step */
                   5415:            /*  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);*/
                   5416:          }
                   5417:        } /* end if mle */
1.126     brouard  5418:       }
                   5419:     } /* end wave */
                   5420:   }
                   5421:   jmean=sum/k;
                   5422:   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  5423:   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  5424: }
1.126     brouard  5425: 
                   5426: /*********** Tricode ****************************/
1.220     brouard  5427:  void tricode(int *cptcov, int *Tvar, int **nbcode, int imx, int *Ndum)
1.242     brouard  5428:  {
                   5429:    /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   5430:    /*    Tvar[i]=atoi(stre);  find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1 
                   5431:     * Boring subroutine which should only output nbcode[Tvar[j]][k]
                   5432:     * Tvar[5] in V2+V1+V3*age+V2*V4 is 4 (V4) even it is a time varying or quantitative variable
                   5433:     * nbcode[Tvar[5]][1]= nbcode[4][1]=0, nbcode[4][2]=1 (usually);
                   5434:     */
1.130     brouard  5435: 
1.242     brouard  5436:    int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
                   5437:    int modmaxcovj=0; /* Modality max of covariates j */
                   5438:    int cptcode=0; /* Modality max of covariates j */
                   5439:    int modmincovj=0; /* Modality min of covariates j */
1.145     brouard  5440: 
                   5441: 
1.242     brouard  5442:    /* cptcoveff=0;  */
                   5443:    /* *cptcov=0; */
1.126     brouard  5444:  
1.242     brouard  5445:    for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.285     brouard  5446:    for (k=1; k <= maxncov; k++)
                   5447:      for(j=1; j<=2; j++)
                   5448:        nbcode[k][j]=0; /* Valgrind */
1.126     brouard  5449: 
1.242     brouard  5450:    /* Loop on covariates without age and products and no quantitative variable */
                   5451:    for (k=1; k<=cptcovt; k++) { /* From model V1 + V2*age + V3 + V3*V4 keeps V1 + V3 = 2 only */
                   5452:      for (j=-1; (j < maxncov); j++) Ndum[j]=0;
                   5453:      if(Dummy[k]==0 && Typevar[k] !=1){ /* Dummy covariate and not age product */ 
                   5454:        switch(Fixed[k]) {
                   5455:        case 0: /* Testing on fixed dummy covariate, simple or product of fixed */
                   5456:         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*/
                   5457:           ij=(int)(covar[Tvar[k]][i]);
                   5458:           /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                   5459:            * If product of Vn*Vm, still boolean *:
                   5460:            * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                   5461:            * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
                   5462:           /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
                   5463:              modality of the nth covariate of individual i. */
                   5464:           if (ij > modmaxcovj)
                   5465:             modmaxcovj=ij; 
                   5466:           else if (ij < modmincovj) 
                   5467:             modmincovj=ij; 
1.287     brouard  5468:           if (ij <0 || ij >1 ){
                   5469:             printf("Information, IMaCh doesn't treat covariate with missing values (-1), individual %d will be skipped.\n",i);
                   5470:             fprintf(ficlog,"Information, currently IMaCh doesn't treat covariate with missing values (-1), individual %d will be skipped.\n",i);
                   5471:           }
                   5472:           if ((ij < -1) || (ij > NCOVMAX)){
1.242     brouard  5473:             printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
                   5474:             exit(1);
                   5475:           }else
                   5476:             Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
                   5477:           /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
                   5478:           /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
                   5479:           /* getting the maximum value of the modality of the covariate
                   5480:              (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
                   5481:              female ies 1, then modmaxcovj=1.
                   5482:           */
                   5483:         } /* end for loop on individuals i */
                   5484:         printf(" Minimal and maximal values of %d th (fixed) covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   5485:         fprintf(ficlog," Minimal and maximal values of %d th (fixed) covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   5486:         cptcode=modmaxcovj;
                   5487:         /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
                   5488:         /*for (i=0; i<=cptcode; i++) {*/
                   5489:         for (j=modmincovj;  j<=modmaxcovj; j++) { /* j=-1 ? 0 and 1*//* For each value j of the modality of model-cov k */
                   5490:           printf("Frequencies of (fixed) covariate %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   5491:           fprintf(ficlog, "Frequencies of (fixed) covariate %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   5492:           if( Ndum[j] != 0 ){ /* Counts if nobody answered modality j ie empty modality, we skip it and reorder */
                   5493:             if( j != -1){
                   5494:               ncodemax[k]++;  /* ncodemax[k]= Number of modalities of the k th
                   5495:                                  covariate for which somebody answered excluding 
                   5496:                                  undefined. Usually 2: 0 and 1. */
                   5497:             }
                   5498:             ncodemaxwundef[k]++; /* ncodemax[j]= Number of modalities of the k th
                   5499:                                     covariate for which somebody answered including 
                   5500:                                     undefined. Usually 3: -1, 0 and 1. */
                   5501:           }    /* In fact  ncodemax[k]=2 (dichotom. variables only) but it could be more for
                   5502:                 * historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
                   5503:         } /* Ndum[-1] number of undefined modalities */
1.231     brouard  5504:                        
1.242     brouard  5505:         /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
                   5506:         /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. */
                   5507:         /* If Ndum[1]=0, Ndum[2]=0, Ndum[3]= 635, Ndum[4]=0, Ndum[5]=0, Ndum[6]=27, Ndum[7]=125; */
                   5508:         /* modmincovj=3; modmaxcovj = 7; */
                   5509:         /* There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3; */
                   5510:         /* which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10; */
                   5511:         /*              defining two dummy variables: variables V1_1 and V1_2.*/
                   5512:         /* nbcode[Tvar[j]][ij]=k; */
                   5513:         /* nbcode[Tvar[j]][1]=0; */
                   5514:         /* nbcode[Tvar[j]][2]=1; */
                   5515:         /* nbcode[Tvar[j]][3]=2; */
                   5516:         /* To be continued (not working yet). */
                   5517:         ij=0; /* ij is similar to i but can jump over null modalities */
1.287     brouard  5518: 
                   5519:         /* 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*/
                   5520:         /* Skipping the case of missing values by reducing nbcode to 0 and 1 and not -1, 0, 1 */
                   5521:         /* model=V1+V2+V3, if V2=-1, 0 or 1, then nbcode[2][1]=0 and nbcode[2][2]=1 instead of
                   5522:          * nbcode[2][1]=-1, nbcode[2][2]=0 and nbcode[2][3]=1 */
                   5523:         /*, could be restored in the future */
                   5524:         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  5525:           if (Ndum[i] == 0) { /* If nobody responded to this modality k */
                   5526:             break;
                   5527:           }
                   5528:           ij++;
1.287     brouard  5529:           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  5530:           cptcode = ij; /* New max modality for covar j */
                   5531:         } /* end of loop on modality i=-1 to 1 or more */
                   5532:         break;
                   5533:        case 1: /* Testing on varying covariate, could be simple and
                   5534:                * should look at waves or product of fixed *
                   5535:                * varying. No time to test -1, assuming 0 and 1 only */
                   5536:         ij=0;
                   5537:         for(i=0; i<=1;i++){
                   5538:           nbcode[Tvar[k]][++ij]=i;
                   5539:         }
                   5540:         break;
                   5541:        default:
                   5542:         break;
                   5543:        } /* end switch */
                   5544:      } /* end dummy test */
1.287     brouard  5545:    } /* 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  5546:   
                   5547:    for (k=-1; k< maxncov; k++) Ndum[k]=0; 
                   5548:    /* Look at fixed dummy (single or product) covariates to check empty modalities */
                   5549:    for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
                   5550:      /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
                   5551:      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 */ 
                   5552:      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 */
                   5553:      /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1,  {2, 1, 1, 1, 2, 1, 1, 0, 0} */
                   5554:    } /* V4+V3+V5, Ndum[1]@5={0, 0, 1, 1, 1} */
                   5555:   
                   5556:    ij=0;
                   5557:    /* for (i=0; i<=  maxncov-1; i++) { /\* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) *\/ */
                   5558:    for (k=1; k<=  cptcovt; k++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
                   5559:      /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
                   5560:      /* if((Ndum[i]!=0) && (i<=ncovcol)){  /\* Tvar[i] <= ncovmodel ? *\/ */
                   5561:      if(Ndum[Tvar[k]]!=0 && Dummy[k] == 0 && Typevar[k]==0){  /* Only Dummy and non empty in the model */
                   5562:        /* If product not in single variable we don't print results */
                   5563:        /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
                   5564:        ++ij;/* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, */
                   5565:        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*/
                   5566:        Tmodelind[ij]=k; /* Tmodelind: index in model of dummies Tmodelind[1]=2 V4: pos=2; V3: pos=3, V1=9 {2, 3, 9, ?, ?,} */
                   5567:        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 */
                   5568:        if(Fixed[k]!=0)
                   5569:         anyvaryingduminmodel=1;
                   5570:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv)){ */
                   5571:        /*   Tvaraff[++ij]=-10; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   5572:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv)){ */
                   5573:        /*   Tvaraff[++ij]=i; /\*For printing (unclear) *\/ */
                   5574:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv+nqtv)){ */
                   5575:        /*   Tvaraff[++ij]=-20; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   5576:      } 
                   5577:    } /* Tvaraff[1]@5 {3, 4, -20, 0, 0} Very strange */
                   5578:    /* ij--; */
                   5579:    /* cptcoveff=ij; /\*Number of total covariates*\/ */
                   5580:    *cptcov=ij; /*Number of total real effective covariates: effective
                   5581:                * because they can be excluded from the model and real
                   5582:                * if in the model but excluded because missing values, but how to get k from ij?*/
                   5583:    for(j=ij+1; j<= cptcovt; j++){
                   5584:      Tvaraff[j]=0;
                   5585:      Tmodelind[j]=0;
                   5586:    }
                   5587:    for(j=ntveff+1; j<= cptcovt; j++){
                   5588:      TmodelInvind[j]=0;
                   5589:    }
                   5590:    /* To be sorted */
                   5591:    ;
                   5592:  }
1.126     brouard  5593: 
1.145     brouard  5594: 
1.126     brouard  5595: /*********** Health Expectancies ****************/
                   5596: 
1.235     brouard  5597:  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  5598: 
                   5599: {
                   5600:   /* Health expectancies, no variances */
1.164     brouard  5601:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  5602:   int nhstepma, nstepma; /* Decreasing with age */
                   5603:   double age, agelim, hf;
                   5604:   double ***p3mat;
                   5605:   double eip;
                   5606: 
1.238     brouard  5607:   /* pstamp(ficreseij); */
1.126     brouard  5608:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   5609:   fprintf(ficreseij,"# Age");
                   5610:   for(i=1; i<=nlstate;i++){
                   5611:     for(j=1; j<=nlstate;j++){
                   5612:       fprintf(ficreseij," e%1d%1d ",i,j);
                   5613:     }
                   5614:     fprintf(ficreseij," e%1d. ",i);
                   5615:   }
                   5616:   fprintf(ficreseij,"\n");
                   5617: 
                   5618:   
                   5619:   if(estepm < stepm){
                   5620:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   5621:   }
                   5622:   else  hstepm=estepm;   
                   5623:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   5624:    * This is mainly to measure the difference between two models: for example
                   5625:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   5626:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   5627:    * progression in between and thus overestimating or underestimating according
                   5628:    * to the curvature of the survival function. If, for the same date, we 
                   5629:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   5630:    * to compare the new estimate of Life expectancy with the same linear 
                   5631:    * hypothesis. A more precise result, taking into account a more precise
                   5632:    * curvature will be obtained if estepm is as small as stepm. */
                   5633: 
                   5634:   /* For example we decided to compute the life expectancy with the smallest unit */
                   5635:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5636:      nhstepm is the number of hstepm from age to agelim 
                   5637:      nstepm is the number of stepm from age to agelin. 
1.270     brouard  5638:      Look at hpijx to understand the reason which relies in memory size consideration
1.126     brouard  5639:      and note for a fixed period like estepm months */
                   5640:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   5641:      survival function given by stepm (the optimization length). Unfortunately it
                   5642:      means that if the survival funtion is printed only each two years of age and if
                   5643:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5644:      results. So we changed our mind and took the option of the best precision.
                   5645:   */
                   5646:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5647: 
                   5648:   agelim=AGESUP;
                   5649:   /* If stepm=6 months */
                   5650:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   5651:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   5652:     
                   5653: /* nhstepm age range expressed in number of stepm */
                   5654:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5655:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5656:   /* if (stepm >= YEARM) hstepm=1;*/
                   5657:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5658:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5659: 
                   5660:   for (age=bage; age<=fage; age ++){ 
                   5661:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5662:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5663:     /* if (stepm >= YEARM) hstepm=1;*/
                   5664:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   5665: 
                   5666:     /* If stepm=6 months */
                   5667:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   5668:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   5669:     
1.235     brouard  5670:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij, nres);  
1.126     brouard  5671:     
                   5672:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   5673:     
                   5674:     printf("%d|",(int)age);fflush(stdout);
                   5675:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   5676:     
                   5677:     /* Computing expectancies */
                   5678:     for(i=1; i<=nlstate;i++)
                   5679:       for(j=1; j<=nlstate;j++)
                   5680:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   5681:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   5682:          
                   5683:          /* 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]);*/
                   5684: 
                   5685:        }
                   5686: 
                   5687:     fprintf(ficreseij,"%3.0f",age );
                   5688:     for(i=1; i<=nlstate;i++){
                   5689:       eip=0;
                   5690:       for(j=1; j<=nlstate;j++){
                   5691:        eip +=eij[i][j][(int)age];
                   5692:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   5693:       }
                   5694:       fprintf(ficreseij,"%9.4f", eip );
                   5695:     }
                   5696:     fprintf(ficreseij,"\n");
                   5697:     
                   5698:   }
                   5699:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5700:   printf("\n");
                   5701:   fprintf(ficlog,"\n");
                   5702:   
                   5703: }
                   5704: 
1.235     brouard  5705:  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  5706: 
                   5707: {
                   5708:   /* Covariances of health expectancies eij and of total life expectancies according
1.222     brouard  5709:      to initial status i, ei. .
1.126     brouard  5710:   */
                   5711:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   5712:   int nhstepma, nstepma; /* Decreasing with age */
                   5713:   double age, agelim, hf;
                   5714:   double ***p3matp, ***p3matm, ***varhe;
                   5715:   double **dnewm,**doldm;
                   5716:   double *xp, *xm;
                   5717:   double **gp, **gm;
                   5718:   double ***gradg, ***trgradg;
                   5719:   int theta;
                   5720: 
                   5721:   double eip, vip;
                   5722: 
                   5723:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   5724:   xp=vector(1,npar);
                   5725:   xm=vector(1,npar);
                   5726:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   5727:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   5728:   
                   5729:   pstamp(ficresstdeij);
                   5730:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   5731:   fprintf(ficresstdeij,"# Age");
                   5732:   for(i=1; i<=nlstate;i++){
                   5733:     for(j=1; j<=nlstate;j++)
                   5734:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   5735:     fprintf(ficresstdeij," e%1d. ",i);
                   5736:   }
                   5737:   fprintf(ficresstdeij,"\n");
                   5738: 
                   5739:   pstamp(ficrescveij);
                   5740:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   5741:   fprintf(ficrescveij,"# Age");
                   5742:   for(i=1; i<=nlstate;i++)
                   5743:     for(j=1; j<=nlstate;j++){
                   5744:       cptj= (j-1)*nlstate+i;
                   5745:       for(i2=1; i2<=nlstate;i2++)
                   5746:        for(j2=1; j2<=nlstate;j2++){
                   5747:          cptj2= (j2-1)*nlstate+i2;
                   5748:          if(cptj2 <= cptj)
                   5749:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   5750:        }
                   5751:     }
                   5752:   fprintf(ficrescveij,"\n");
                   5753:   
                   5754:   if(estepm < stepm){
                   5755:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   5756:   }
                   5757:   else  hstepm=estepm;   
                   5758:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   5759:    * This is mainly to measure the difference between two models: for example
                   5760:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   5761:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   5762:    * progression in between and thus overestimating or underestimating according
                   5763:    * to the curvature of the survival function. If, for the same date, we 
                   5764:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   5765:    * to compare the new estimate of Life expectancy with the same linear 
                   5766:    * hypothesis. A more precise result, taking into account a more precise
                   5767:    * curvature will be obtained if estepm is as small as stepm. */
                   5768: 
                   5769:   /* For example we decided to compute the life expectancy with the smallest unit */
                   5770:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5771:      nhstepm is the number of hstepm from age to agelim 
                   5772:      nstepm is the number of stepm from age to agelin. 
                   5773:      Look at hpijx to understand the reason of that which relies in memory size
                   5774:      and note for a fixed period like estepm months */
                   5775:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   5776:      survival function given by stepm (the optimization length). Unfortunately it
                   5777:      means that if the survival funtion is printed only each two years of age and if
                   5778:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5779:      results. So we changed our mind and took the option of the best precision.
                   5780:   */
                   5781:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5782: 
                   5783:   /* If stepm=6 months */
                   5784:   /* nhstepm age range expressed in number of stepm */
                   5785:   agelim=AGESUP;
                   5786:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   5787:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5788:   /* if (stepm >= YEARM) hstepm=1;*/
                   5789:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5790:   
                   5791:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5792:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5793:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   5794:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   5795:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   5796:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   5797: 
                   5798:   for (age=bage; age<=fage; age ++){ 
                   5799:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5800:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5801:     /* if (stepm >= YEARM) hstepm=1;*/
                   5802:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
1.218     brouard  5803:                
1.126     brouard  5804:     /* If stepm=6 months */
                   5805:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   5806:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   5807:     
                   5808:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
1.218     brouard  5809:                
1.126     brouard  5810:     /* Computing  Variances of health expectancies */
                   5811:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   5812:        decrease memory allocation */
                   5813:     for(theta=1; theta <=npar; theta++){
                   5814:       for(i=1; i<=npar; i++){ 
1.222     brouard  5815:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5816:        xm[i] = x[i] - (i==theta ?delti[theta]:0);
1.126     brouard  5817:       }
1.235     brouard  5818:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij, nres);  
                   5819:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij, nres);  
1.218     brouard  5820:                        
1.126     brouard  5821:       for(j=1; j<= nlstate; j++){
1.222     brouard  5822:        for(i=1; i<=nlstate; i++){
                   5823:          for(h=0; h<=nhstepm-1; h++){
                   5824:            gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
                   5825:            gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
                   5826:          }
                   5827:        }
1.126     brouard  5828:       }
1.218     brouard  5829:                        
1.126     brouard  5830:       for(ij=1; ij<= nlstate*nlstate; ij++)
1.222     brouard  5831:        for(h=0; h<=nhstepm-1; h++){
                   5832:          gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
                   5833:        }
1.126     brouard  5834:     }/* End theta */
                   5835:     
                   5836:     
                   5837:     for(h=0; h<=nhstepm-1; h++)
                   5838:       for(j=1; j<=nlstate*nlstate;j++)
1.222     brouard  5839:        for(theta=1; theta <=npar; theta++)
                   5840:          trgradg[h][j][theta]=gradg[h][theta][j];
1.126     brouard  5841:     
1.218     brouard  5842:                
1.222     brouard  5843:     for(ij=1;ij<=nlstate*nlstate;ij++)
1.126     brouard  5844:       for(ji=1;ji<=nlstate*nlstate;ji++)
1.222     brouard  5845:        varhe[ij][ji][(int)age] =0.;
1.218     brouard  5846:                
1.222     brouard  5847:     printf("%d|",(int)age);fflush(stdout);
                   5848:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   5849:     for(h=0;h<=nhstepm-1;h++){
1.126     brouard  5850:       for(k=0;k<=nhstepm-1;k++){
1.222     brouard  5851:        matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
                   5852:        matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
                   5853:        for(ij=1;ij<=nlstate*nlstate;ij++)
                   5854:          for(ji=1;ji<=nlstate*nlstate;ji++)
                   5855:            varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
1.126     brouard  5856:       }
                   5857:     }
1.218     brouard  5858:                
1.126     brouard  5859:     /* Computing expectancies */
1.235     brouard  5860:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij,nres);  
1.126     brouard  5861:     for(i=1; i<=nlstate;i++)
                   5862:       for(j=1; j<=nlstate;j++)
1.222     brouard  5863:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   5864:          eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
1.218     brouard  5865:                                        
1.222     brouard  5866:          /* 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  5867:                                        
1.222     brouard  5868:        }
1.269     brouard  5869: 
                   5870:     /* Standard deviation of expectancies ij */                
1.126     brouard  5871:     fprintf(ficresstdeij,"%3.0f",age );
                   5872:     for(i=1; i<=nlstate;i++){
                   5873:       eip=0.;
                   5874:       vip=0.;
                   5875:       for(j=1; j<=nlstate;j++){
1.222     brouard  5876:        eip += eij[i][j][(int)age];
                   5877:        for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
                   5878:          vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
                   5879:        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  5880:       }
                   5881:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   5882:     }
                   5883:     fprintf(ficresstdeij,"\n");
1.218     brouard  5884:                
1.269     brouard  5885:     /* Variance of expectancies ij */          
1.126     brouard  5886:     fprintf(ficrescveij,"%3.0f",age );
                   5887:     for(i=1; i<=nlstate;i++)
                   5888:       for(j=1; j<=nlstate;j++){
1.222     brouard  5889:        cptj= (j-1)*nlstate+i;
                   5890:        for(i2=1; i2<=nlstate;i2++)
                   5891:          for(j2=1; j2<=nlstate;j2++){
                   5892:            cptj2= (j2-1)*nlstate+i2;
                   5893:            if(cptj2 <= cptj)
                   5894:              fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
                   5895:          }
1.126     brouard  5896:       }
                   5897:     fprintf(ficrescveij,"\n");
1.218     brouard  5898:                
1.126     brouard  5899:   }
                   5900:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   5901:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   5902:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   5903:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   5904:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5905:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5906:   printf("\n");
                   5907:   fprintf(ficlog,"\n");
1.218     brouard  5908:        
1.126     brouard  5909:   free_vector(xm,1,npar);
                   5910:   free_vector(xp,1,npar);
                   5911:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   5912:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   5913:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   5914: }
1.218     brouard  5915:  
1.126     brouard  5916: /************ Variance ******************/
1.235     brouard  5917:  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  5918:  {
1.279     brouard  5919:    /** Variance of health expectancies 
                   5920:     *  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);
                   5921:     * double **newm;
                   5922:     * int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav) 
                   5923:     */
1.218     brouard  5924:   
                   5925:    /* int movingaverage(); */
                   5926:    double **dnewm,**doldm;
                   5927:    double **dnewmp,**doldmp;
                   5928:    int i, j, nhstepm, hstepm, h, nstepm ;
1.288     brouard  5929:    int first=0;
1.218     brouard  5930:    int k;
                   5931:    double *xp;
1.279     brouard  5932:    double **gp, **gm;  /**< for var eij */
                   5933:    double ***gradg, ***trgradg; /**< for var eij */
                   5934:    double **gradgp, **trgradgp; /**< for var p point j */
                   5935:    double *gpp, *gmp; /**< for var p point j */
                   5936:    double **varppt; /**< for var p point j nlstate to nlstate+ndeath */
1.218     brouard  5937:    double ***p3mat;
                   5938:    double age,agelim, hf;
                   5939:    /* double ***mobaverage; */
                   5940:    int theta;
                   5941:    char digit[4];
                   5942:    char digitp[25];
                   5943: 
                   5944:    char fileresprobmorprev[FILENAMELENGTH];
                   5945: 
                   5946:    if(popbased==1){
                   5947:      if(mobilav!=0)
                   5948:        strcpy(digitp,"-POPULBASED-MOBILAV_");
                   5949:      else strcpy(digitp,"-POPULBASED-NOMOBIL_");
                   5950:    }
                   5951:    else 
                   5952:      strcpy(digitp,"-STABLBASED_");
1.126     brouard  5953: 
1.218     brouard  5954:    /* if (mobilav!=0) { */
                   5955:    /*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   5956:    /*   if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){ */
                   5957:    /*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */
                   5958:    /*     printf(" Error in movingaverage mobilav=%d\n",mobilav); */
                   5959:    /*   } */
                   5960:    /* } */
                   5961: 
                   5962:    strcpy(fileresprobmorprev,"PRMORPREV-"); 
                   5963:    sprintf(digit,"%-d",ij);
                   5964:    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
                   5965:    strcat(fileresprobmorprev,digit); /* Tvar to be done */
                   5966:    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
                   5967:    strcat(fileresprobmorprev,fileresu);
                   5968:    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
                   5969:      printf("Problem with resultfile: %s\n", fileresprobmorprev);
                   5970:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
                   5971:    }
                   5972:    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5973:    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5974:    pstamp(ficresprobmorprev);
                   5975:    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  5976:    fprintf(ficresprobmorprev,"# Selected quantitative variables and dummies");
                   5977:    for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   5978:      fprintf(ficresprobmorprev," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   5979:    }
                   5980:    for(j=1;j<=cptcoveff;j++) 
                   5981:      fprintf(ficresprobmorprev,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(ij,j)]);
                   5982:    fprintf(ficresprobmorprev,"\n");
                   5983: 
1.218     brouard  5984:    fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
                   5985:    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   5986:      fprintf(ficresprobmorprev," p.%-d SE",j);
                   5987:      for(i=1; i<=nlstate;i++)
                   5988:        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
                   5989:    }  
                   5990:    fprintf(ficresprobmorprev,"\n");
                   5991:   
                   5992:    fprintf(ficgp,"\n# Routine varevsij");
                   5993:    fprintf(ficgp,"\nunset title \n");
                   5994:    /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
                   5995:    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");
                   5996:    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
1.279     brouard  5997: 
1.218     brouard  5998:    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5999:    pstamp(ficresvij);
                   6000:    fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
                   6001:    if(popbased==1)
                   6002:      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);
                   6003:    else
                   6004:      fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
                   6005:    fprintf(ficresvij,"# Age");
                   6006:    for(i=1; i<=nlstate;i++)
                   6007:      for(j=1; j<=nlstate;j++)
                   6008:        fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
                   6009:    fprintf(ficresvij,"\n");
                   6010: 
                   6011:    xp=vector(1,npar);
                   6012:    dnewm=matrix(1,nlstate,1,npar);
                   6013:    doldm=matrix(1,nlstate,1,nlstate);
                   6014:    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
                   6015:    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6016: 
                   6017:    gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
                   6018:    gpp=vector(nlstate+1,nlstate+ndeath);
                   6019:    gmp=vector(nlstate+1,nlstate+ndeath);
                   6020:    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.126     brouard  6021:   
1.218     brouard  6022:    if(estepm < stepm){
                   6023:      printf ("Problem %d lower than %d\n",estepm, stepm);
                   6024:    }
                   6025:    else  hstepm=estepm;   
                   6026:    /* For example we decided to compute the life expectancy with the smallest unit */
                   6027:    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   6028:       nhstepm is the number of hstepm from age to agelim 
                   6029:       nstepm is the number of stepm from age to agelim. 
                   6030:       Look at function hpijx to understand why because of memory size limitations, 
                   6031:       we decided (b) to get a life expectancy respecting the most precise curvature of the
                   6032:       survival function given by stepm (the optimization length). Unfortunately it
                   6033:       means that if the survival funtion is printed every two years of age and if
                   6034:       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   6035:       results. So we changed our mind and took the option of the best precision.
                   6036:    */
                   6037:    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   6038:    agelim = AGESUP;
                   6039:    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   6040:      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6041:      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   6042:      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6043:      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
                   6044:      gp=matrix(0,nhstepm,1,nlstate);
                   6045:      gm=matrix(0,nhstepm,1,nlstate);
                   6046:                
                   6047:                
                   6048:      for(theta=1; theta <=npar; theta++){
                   6049:        for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
                   6050:         xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6051:        }
1.279     brouard  6052:        /**< Computes the prevalence limit with parameter theta shifted of delta up to ftolpl precision and 
                   6053:        * returns into prlim .
1.288     brouard  6054:        */
1.242     brouard  6055:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij, nres);
1.279     brouard  6056: 
                   6057:        /* If popbased = 1 we use crossection prevalences. Previous step is useless but prlim is created */
1.218     brouard  6058:        if (popbased==1) {
                   6059:         if(mobilav ==0){
                   6060:           for(i=1; i<=nlstate;i++)
                   6061:             prlim[i][i]=probs[(int)age][i][ij];
                   6062:         }else{ /* mobilav */ 
                   6063:           for(i=1; i<=nlstate;i++)
                   6064:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   6065:         }
                   6066:        }
1.295     brouard  6067:        /**< Computes the shifted transition matrix \f$ {}{h}_p^{ij}x\f$ at horizon h.
1.279     brouard  6068:        */                      
                   6069:        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  6070:        /**< 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  6071:        * at horizon h in state j including mortality.
                   6072:        */
1.218     brouard  6073:        for(j=1; j<= nlstate; j++){
                   6074:         for(h=0; h<=nhstepm; h++){
                   6075:           for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                   6076:             gp[h][j] += prlim[i][i]*p3mat[i][j][h];
                   6077:         }
                   6078:        }
1.279     brouard  6079:        /* Next for computing shifted+ probability of death (h=1 means
1.218     brouard  6080:          computed over hstepm matrices product = hstepm*stepm months) 
1.279     brouard  6081:          as a weighted average of prlim(i) * p(i,j) p.3=w1*p13 + w2*p23 .
1.218     brouard  6082:        */
                   6083:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6084:         for(i=1,gpp[j]=0.; i<= nlstate; i++)
                   6085:           gpp[j] += prlim[i][i]*p3mat[i][j][1];
1.279     brouard  6086:        }
                   6087:        
                   6088:        /* Again with minus shift */
1.218     brouard  6089:                        
                   6090:        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
                   6091:         xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.288     brouard  6092: 
1.242     brouard  6093:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp, ij, nres);
1.218     brouard  6094:                        
                   6095:        if (popbased==1) {
                   6096:         if(mobilav ==0){
                   6097:           for(i=1; i<=nlstate;i++)
                   6098:             prlim[i][i]=probs[(int)age][i][ij];
                   6099:         }else{ /* mobilav */ 
                   6100:           for(i=1; i<=nlstate;i++)
                   6101:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   6102:         }
                   6103:        }
                   6104:                        
1.235     brouard  6105:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij,nres);  
1.218     brouard  6106:                        
                   6107:        for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
                   6108:         for(h=0; h<=nhstepm; h++){
                   6109:           for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                   6110:             gm[h][j] += prlim[i][i]*p3mat[i][j][h];
                   6111:         }
                   6112:        }
                   6113:        /* This for computing probability of death (h=1 means
                   6114:          computed over hstepm matrices product = hstepm*stepm months) 
                   6115:          as a weighted average of prlim.
                   6116:        */
                   6117:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6118:         for(i=1,gmp[j]=0.; i<= nlstate; i++)
                   6119:           gmp[j] += prlim[i][i]*p3mat[i][j][1];
                   6120:        }    
1.279     brouard  6121:        /* end shifting computations */
                   6122: 
                   6123:        /**< Computing gradient matrix at horizon h 
                   6124:        */
1.218     brouard  6125:        for(j=1; j<= nlstate; j++) /* vareij */
                   6126:         for(h=0; h<=nhstepm; h++){
                   6127:           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
                   6128:         }
1.279     brouard  6129:        /**< Gradient of overall mortality p.3 (or p.j) 
                   6130:        */
                   6131:        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu mortality from j */
1.218     brouard  6132:         gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
                   6133:        }
                   6134:                        
                   6135:      } /* End theta */
1.279     brouard  6136:      
                   6137:      /* We got the gradient matrix for each theta and state j */               
1.218     brouard  6138:      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
                   6139:                
                   6140:      for(h=0; h<=nhstepm; h++) /* veij */
                   6141:        for(j=1; j<=nlstate;j++)
                   6142:         for(theta=1; theta <=npar; theta++)
                   6143:           trgradg[h][j][theta]=gradg[h][theta][j];
                   6144:                
                   6145:      for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                   6146:        for(theta=1; theta <=npar; theta++)
                   6147:         trgradgp[j][theta]=gradgp[theta][j];
1.279     brouard  6148:      /**< as well as its transposed matrix 
                   6149:       */               
1.218     brouard  6150:                
                   6151:      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   6152:      for(i=1;i<=nlstate;i++)
                   6153:        for(j=1;j<=nlstate;j++)
                   6154:         vareij[i][j][(int)age] =0.;
1.279     brouard  6155: 
                   6156:      /* Computing trgradg by matcov by gradg at age and summing over h
                   6157:       * and k (nhstepm) formula 15 of article
                   6158:       * Lievre-Brouard-Heathcote
                   6159:       */
                   6160:      
1.218     brouard  6161:      for(h=0;h<=nhstepm;h++){
                   6162:        for(k=0;k<=nhstepm;k++){
                   6163:         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
                   6164:         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
                   6165:         for(i=1;i<=nlstate;i++)
                   6166:           for(j=1;j<=nlstate;j++)
                   6167:             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
                   6168:        }
                   6169:      }
                   6170:                
1.279     brouard  6171:      /* pptj is p.3 or p.j = trgradgp by cov by gradgp, variance of
                   6172:       * p.j overall mortality formula 49 but computed directly because
                   6173:       * we compute the grad (wix pijx) instead of grad (pijx),even if
                   6174:       * wix is independent of theta.
                   6175:       */
1.218     brouard  6176:      matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
                   6177:      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
                   6178:      for(j=nlstate+1;j<=nlstate+ndeath;j++)
                   6179:        for(i=nlstate+1;i<=nlstate+ndeath;i++)
                   6180:         varppt[j][i]=doldmp[j][i];
                   6181:      /* end ppptj */
                   6182:      /*  x centered again */
                   6183:                
1.242     brouard  6184:      prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyearp,ij, nres);
1.218     brouard  6185:                
                   6186:      if (popbased==1) {
                   6187:        if(mobilav ==0){
                   6188:         for(i=1; i<=nlstate;i++)
                   6189:           prlim[i][i]=probs[(int)age][i][ij];
                   6190:        }else{ /* mobilav */ 
                   6191:         for(i=1; i<=nlstate;i++)
                   6192:           prlim[i][i]=mobaverage[(int)age][i][ij];
                   6193:        }
                   6194:      }
                   6195:                
                   6196:      /* This for computing probability of death (h=1 means
                   6197:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
                   6198:        as a weighted average of prlim.
                   6199:      */
1.235     brouard  6200:      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij, nres);  
1.218     brouard  6201:      for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6202:        for(i=1,gmp[j]=0.;i<= nlstate; i++) 
                   6203:         gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
                   6204:      }    
                   6205:      /* end probability of death */
                   6206:                
                   6207:      fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
                   6208:      for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   6209:        fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
                   6210:        for(i=1; i<=nlstate;i++){
                   6211:         fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
                   6212:        }
                   6213:      } 
                   6214:      fprintf(ficresprobmorprev,"\n");
                   6215:                
                   6216:      fprintf(ficresvij,"%.0f ",age );
                   6217:      for(i=1; i<=nlstate;i++)
                   6218:        for(j=1; j<=nlstate;j++){
                   6219:         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
                   6220:        }
                   6221:      fprintf(ficresvij,"\n");
                   6222:      free_matrix(gp,0,nhstepm,1,nlstate);
                   6223:      free_matrix(gm,0,nhstepm,1,nlstate);
                   6224:      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
                   6225:      free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
                   6226:      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6227:    } /* End age */
                   6228:    free_vector(gpp,nlstate+1,nlstate+ndeath);
                   6229:    free_vector(gmp,nlstate+1,nlstate+ndeath);
                   6230:    free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
                   6231:    free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
                   6232:    /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
                   6233:    fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
                   6234:    /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
                   6235:    fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
                   6236:    fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
                   6237:    /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
                   6238:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   6239:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   6240:    fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
                   6241:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
                   6242:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
                   6243:    fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
                   6244:    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);
                   6245:    /*  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  6246:     */
1.218     brouard  6247:    /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
                   6248:    fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  6249: 
1.218     brouard  6250:    free_vector(xp,1,npar);
                   6251:    free_matrix(doldm,1,nlstate,1,nlstate);
                   6252:    free_matrix(dnewm,1,nlstate,1,npar);
                   6253:    free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6254:    free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
                   6255:    free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6256:    /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   6257:    fclose(ficresprobmorprev);
                   6258:    fflush(ficgp);
                   6259:    fflush(fichtm); 
                   6260:  }  /* end varevsij */
1.126     brouard  6261: 
                   6262: /************ Variance of prevlim ******************/
1.269     brouard  6263:  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  6264: {
1.205     brouard  6265:   /* Variance of prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
1.126     brouard  6266:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  6267: 
1.268     brouard  6268:   double **dnewmpar,**doldm;
1.126     brouard  6269:   int i, j, nhstepm, hstepm;
                   6270:   double *xp;
                   6271:   double *gp, *gm;
                   6272:   double **gradg, **trgradg;
1.208     brouard  6273:   double **mgm, **mgp;
1.126     brouard  6274:   double age,agelim;
                   6275:   int theta;
                   6276:   
                   6277:   pstamp(ficresvpl);
1.288     brouard  6278:   fprintf(ficresvpl,"# Standard deviation of period (forward stable) prevalences \n");
1.241     brouard  6279:   fprintf(ficresvpl,"# Age ");
                   6280:   if(nresult >=1)
                   6281:     fprintf(ficresvpl," Result# ");
1.126     brouard  6282:   for(i=1; i<=nlstate;i++)
                   6283:       fprintf(ficresvpl," %1d-%1d",i,i);
                   6284:   fprintf(ficresvpl,"\n");
                   6285: 
                   6286:   xp=vector(1,npar);
1.268     brouard  6287:   dnewmpar=matrix(1,nlstate,1,npar);
1.126     brouard  6288:   doldm=matrix(1,nlstate,1,nlstate);
                   6289:   
                   6290:   hstepm=1*YEARM; /* Every year of age */
                   6291:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   6292:   agelim = AGESUP;
                   6293:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   6294:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6295:     if (stepm >= YEARM) hstepm=1;
                   6296:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6297:     gradg=matrix(1,npar,1,nlstate);
1.208     brouard  6298:     mgp=matrix(1,npar,1,nlstate);
                   6299:     mgm=matrix(1,npar,1,nlstate);
1.126     brouard  6300:     gp=vector(1,nlstate);
                   6301:     gm=vector(1,nlstate);
                   6302: 
                   6303:     for(theta=1; theta <=npar; theta++){
                   6304:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   6305:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6306:       }
1.288     brouard  6307:       /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */
                   6308:       /*       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */
                   6309:       /* else */
                   6310:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
1.208     brouard  6311:       for(i=1;i<=nlstate;i++){
1.126     brouard  6312:        gp[i] = prlim[i][i];
1.208     brouard  6313:        mgp[theta][i] = prlim[i][i];
                   6314:       }
1.126     brouard  6315:       for(i=1; i<=npar; i++) /* Computes gradient */
                   6316:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.288     brouard  6317:       /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */
                   6318:       /*       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */
                   6319:       /* else */
                   6320:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
1.208     brouard  6321:       for(i=1;i<=nlstate;i++){
1.126     brouard  6322:        gm[i] = prlim[i][i];
1.208     brouard  6323:        mgm[theta][i] = prlim[i][i];
                   6324:       }
1.126     brouard  6325:       for(i=1;i<=nlstate;i++)
                   6326:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
1.209     brouard  6327:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
1.126     brouard  6328:     } /* End theta */
                   6329: 
                   6330:     trgradg =matrix(1,nlstate,1,npar);
                   6331: 
                   6332:     for(j=1; j<=nlstate;j++)
                   6333:       for(theta=1; theta <=npar; theta++)
                   6334:        trgradg[j][theta]=gradg[theta][j];
1.209     brouard  6335:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6336:     /*   printf("\nmgm mgp %d ",(int)age); */
                   6337:     /*   for(j=1; j<=nlstate;j++){ */
                   6338:     /*         printf(" %d ",j); */
                   6339:     /*         for(theta=1; theta <=npar; theta++) */
                   6340:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   6341:     /*         printf("\n "); */
                   6342:     /*   } */
                   6343:     /* } */
                   6344:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6345:     /*   printf("\n gradg %d ",(int)age); */
                   6346:     /*   for(j=1; j<=nlstate;j++){ */
                   6347:     /*         printf("%d ",j); */
                   6348:     /*         for(theta=1; theta <=npar; theta++) */
                   6349:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   6350:     /*         printf("\n "); */
                   6351:     /*   } */
                   6352:     /* } */
1.126     brouard  6353: 
                   6354:     for(i=1;i<=nlstate;i++)
                   6355:       varpl[i][(int)age] =0.;
1.209     brouard  6356:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
1.268     brouard  6357:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6358:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  6359:     }else{
1.268     brouard  6360:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6361:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  6362:     }
1.126     brouard  6363:     for(i=1;i<=nlstate;i++)
                   6364:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   6365: 
                   6366:     fprintf(ficresvpl,"%.0f ",age );
1.241     brouard  6367:     if(nresult >=1)
                   6368:       fprintf(ficresvpl,"%d ",nres );
1.288     brouard  6369:     for(i=1; i<=nlstate;i++){
1.126     brouard  6370:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
1.288     brouard  6371:       /* for(j=1;j<=nlstate;j++) */
                   6372:       /*       fprintf(ficresvpl," %d %.5f ",j,prlim[j][i]); */
                   6373:     }
1.126     brouard  6374:     fprintf(ficresvpl,"\n");
                   6375:     free_vector(gp,1,nlstate);
                   6376:     free_vector(gm,1,nlstate);
1.208     brouard  6377:     free_matrix(mgm,1,npar,1,nlstate);
                   6378:     free_matrix(mgp,1,npar,1,nlstate);
1.126     brouard  6379:     free_matrix(gradg,1,npar,1,nlstate);
                   6380:     free_matrix(trgradg,1,nlstate,1,npar);
                   6381:   } /* End age */
                   6382: 
                   6383:   free_vector(xp,1,npar);
                   6384:   free_matrix(doldm,1,nlstate,1,npar);
1.268     brouard  6385:   free_matrix(dnewmpar,1,nlstate,1,nlstate);
                   6386: 
                   6387: }
                   6388: 
                   6389: 
                   6390: /************ Variance of backprevalence limit ******************/
1.269     brouard  6391:  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  6392: {
                   6393:   /* Variance of backward prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
                   6394:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
                   6395: 
                   6396:   double **dnewmpar,**doldm;
                   6397:   int i, j, nhstepm, hstepm;
                   6398:   double *xp;
                   6399:   double *gp, *gm;
                   6400:   double **gradg, **trgradg;
                   6401:   double **mgm, **mgp;
                   6402:   double age,agelim;
                   6403:   int theta;
                   6404:   
                   6405:   pstamp(ficresvbl);
                   6406:   fprintf(ficresvbl,"# Standard deviation of back (stable) prevalences \n");
                   6407:   fprintf(ficresvbl,"# Age ");
                   6408:   if(nresult >=1)
                   6409:     fprintf(ficresvbl," Result# ");
                   6410:   for(i=1; i<=nlstate;i++)
                   6411:       fprintf(ficresvbl," %1d-%1d",i,i);
                   6412:   fprintf(ficresvbl,"\n");
                   6413: 
                   6414:   xp=vector(1,npar);
                   6415:   dnewmpar=matrix(1,nlstate,1,npar);
                   6416:   doldm=matrix(1,nlstate,1,nlstate);
                   6417:   
                   6418:   hstepm=1*YEARM; /* Every year of age */
                   6419:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   6420:   agelim = AGEINF;
                   6421:   for (age=fage; age>=bage; age --){ /* If stepm=6 months */
                   6422:     nhstepm=(int) rint((age-agelim)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6423:     if (stepm >= YEARM) hstepm=1;
                   6424:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6425:     gradg=matrix(1,npar,1,nlstate);
                   6426:     mgp=matrix(1,npar,1,nlstate);
                   6427:     mgm=matrix(1,npar,1,nlstate);
                   6428:     gp=vector(1,nlstate);
                   6429:     gm=vector(1,nlstate);
                   6430: 
                   6431:     for(theta=1; theta <=npar; theta++){
                   6432:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   6433:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6434:       }
                   6435:       if(mobilavproj > 0 )
                   6436:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6437:       else
                   6438:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6439:       for(i=1;i<=nlstate;i++){
                   6440:        gp[i] = bprlim[i][i];
                   6441:        mgp[theta][i] = bprlim[i][i];
                   6442:       }
                   6443:      for(i=1; i<=npar; i++) /* Computes gradient */
                   6444:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   6445:        if(mobilavproj > 0 )
                   6446:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6447:        else
                   6448:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6449:       for(i=1;i<=nlstate;i++){
                   6450:        gm[i] = bprlim[i][i];
                   6451:        mgm[theta][i] = bprlim[i][i];
                   6452:       }
                   6453:       for(i=1;i<=nlstate;i++)
                   6454:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
                   6455:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
                   6456:     } /* End theta */
                   6457: 
                   6458:     trgradg =matrix(1,nlstate,1,npar);
                   6459: 
                   6460:     for(j=1; j<=nlstate;j++)
                   6461:       for(theta=1; theta <=npar; theta++)
                   6462:        trgradg[j][theta]=gradg[theta][j];
                   6463:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6464:     /*   printf("\nmgm mgp %d ",(int)age); */
                   6465:     /*   for(j=1; j<=nlstate;j++){ */
                   6466:     /*         printf(" %d ",j); */
                   6467:     /*         for(theta=1; theta <=npar; theta++) */
                   6468:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   6469:     /*         printf("\n "); */
                   6470:     /*   } */
                   6471:     /* } */
                   6472:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6473:     /*   printf("\n gradg %d ",(int)age); */
                   6474:     /*   for(j=1; j<=nlstate;j++){ */
                   6475:     /*         printf("%d ",j); */
                   6476:     /*         for(theta=1; theta <=npar; theta++) */
                   6477:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   6478:     /*         printf("\n "); */
                   6479:     /*   } */
                   6480:     /* } */
                   6481: 
                   6482:     for(i=1;i<=nlstate;i++)
                   6483:       varbpl[i][(int)age] =0.;
                   6484:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
                   6485:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6486:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
                   6487:     }else{
                   6488:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6489:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
                   6490:     }
                   6491:     for(i=1;i<=nlstate;i++)
                   6492:       varbpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   6493: 
                   6494:     fprintf(ficresvbl,"%.0f ",age );
                   6495:     if(nresult >=1)
                   6496:       fprintf(ficresvbl,"%d ",nres );
                   6497:     for(i=1; i<=nlstate;i++)
                   6498:       fprintf(ficresvbl," %.5f (%.5f)",bprlim[i][i],sqrt(varbpl[i][(int)age]));
                   6499:     fprintf(ficresvbl,"\n");
                   6500:     free_vector(gp,1,nlstate);
                   6501:     free_vector(gm,1,nlstate);
                   6502:     free_matrix(mgm,1,npar,1,nlstate);
                   6503:     free_matrix(mgp,1,npar,1,nlstate);
                   6504:     free_matrix(gradg,1,npar,1,nlstate);
                   6505:     free_matrix(trgradg,1,nlstate,1,npar);
                   6506:   } /* End age */
                   6507: 
                   6508:   free_vector(xp,1,npar);
                   6509:   free_matrix(doldm,1,nlstate,1,npar);
                   6510:   free_matrix(dnewmpar,1,nlstate,1,nlstate);
1.126     brouard  6511: 
                   6512: }
                   6513: 
                   6514: /************ Variance of one-step probabilities  ******************/
                   6515: 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  6516:  {
                   6517:    int i, j=0,  k1, l1, tj;
                   6518:    int k2, l2, j1,  z1;
                   6519:    int k=0, l;
                   6520:    int first=1, first1, first2;
                   6521:    double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   6522:    double **dnewm,**doldm;
                   6523:    double *xp;
                   6524:    double *gp, *gm;
                   6525:    double **gradg, **trgradg;
                   6526:    double **mu;
                   6527:    double age, cov[NCOVMAX+1];
                   6528:    double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   6529:    int theta;
                   6530:    char fileresprob[FILENAMELENGTH];
                   6531:    char fileresprobcov[FILENAMELENGTH];
                   6532:    char fileresprobcor[FILENAMELENGTH];
                   6533:    double ***varpij;
                   6534: 
                   6535:    strcpy(fileresprob,"PROB_"); 
                   6536:    strcat(fileresprob,fileres);
                   6537:    if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   6538:      printf("Problem with resultfile: %s\n", fileresprob);
                   6539:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   6540:    }
                   6541:    strcpy(fileresprobcov,"PROBCOV_"); 
                   6542:    strcat(fileresprobcov,fileresu);
                   6543:    if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   6544:      printf("Problem with resultfile: %s\n", fileresprobcov);
                   6545:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   6546:    }
                   6547:    strcpy(fileresprobcor,"PROBCOR_"); 
                   6548:    strcat(fileresprobcor,fileresu);
                   6549:    if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   6550:      printf("Problem with resultfile: %s\n", fileresprobcor);
                   6551:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   6552:    }
                   6553:    printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   6554:    fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   6555:    printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   6556:    fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   6557:    printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   6558:    fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   6559:    pstamp(ficresprob);
                   6560:    fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   6561:    fprintf(ficresprob,"# Age");
                   6562:    pstamp(ficresprobcov);
                   6563:    fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   6564:    fprintf(ficresprobcov,"# Age");
                   6565:    pstamp(ficresprobcor);
                   6566:    fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   6567:    fprintf(ficresprobcor,"# Age");
1.126     brouard  6568: 
                   6569: 
1.222     brouard  6570:    for(i=1; i<=nlstate;i++)
                   6571:      for(j=1; j<=(nlstate+ndeath);j++){
                   6572:        fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   6573:        fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   6574:        fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   6575:      }  
                   6576:    /* fprintf(ficresprob,"\n");
                   6577:       fprintf(ficresprobcov,"\n");
                   6578:       fprintf(ficresprobcor,"\n");
                   6579:    */
                   6580:    xp=vector(1,npar);
                   6581:    dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   6582:    doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   6583:    mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   6584:    varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   6585:    first=1;
                   6586:    fprintf(ficgp,"\n# Routine varprob");
                   6587:    fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   6588:    fprintf(fichtm,"\n");
                   6589: 
1.288     brouard  6590:    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  6591:    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);
                   6592:    fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
1.126     brouard  6593: and drawn. It helps understanding how is the covariance between two incidences.\
                   6594:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
1.222     brouard  6595:    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  6596: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   6597: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   6598: standard deviations wide on each axis. <br>\
                   6599:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   6600:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   6601: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   6602: 
1.222     brouard  6603:    cov[1]=1;
                   6604:    /* tj=cptcoveff; */
1.225     brouard  6605:    tj = (int) pow(2,cptcoveff);
1.222     brouard  6606:    if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   6607:    j1=0;
1.224     brouard  6608:    for(j1=1; j1<=tj;j1++){  /* For each valid combination of covariates or only once*/
1.222     brouard  6609:      if  (cptcovn>0) {
                   6610:        fprintf(ficresprob, "\n#********** Variable "); 
1.225     brouard  6611:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6612:        fprintf(ficresprob, "**********\n#\n");
                   6613:        fprintf(ficresprobcov, "\n#********** Variable "); 
1.225     brouard  6614:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6615:        fprintf(ficresprobcov, "**********\n#\n");
1.220     brouard  6616:                        
1.222     brouard  6617:        fprintf(ficgp, "\n#********** Variable "); 
1.225     brouard  6618:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6619:        fprintf(ficgp, "**********\n#\n");
1.220     brouard  6620:                        
                   6621:                        
1.222     brouard  6622:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
1.225     brouard  6623:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6624:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  6625:                        
1.222     brouard  6626:        fprintf(ficresprobcor, "\n#********** Variable ");    
1.225     brouard  6627:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6628:        fprintf(ficresprobcor, "**********\n#");    
                   6629:        if(invalidvarcomb[j1]){
                   6630:         fprintf(ficgp,"\n#Combination (%d) ignored because no cases \n",j1); 
                   6631:         fprintf(fichtmcov,"\n<h3>Combination (%d) ignored because no cases </h3>\n",j1); 
                   6632:         continue;
                   6633:        }
                   6634:      }
                   6635:      gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   6636:      trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   6637:      gp=vector(1,(nlstate)*(nlstate+ndeath));
                   6638:      gm=vector(1,(nlstate)*(nlstate+ndeath));
                   6639:      for (age=bage; age<=fage; age ++){ 
                   6640:        cov[2]=age;
                   6641:        if(nagesqr==1)
                   6642:         cov[3]= age*age;
                   6643:        for (k=1; k<=cptcovn;k++) {
                   6644:         cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
                   6645:         /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
                   6646:                                                                    * 1  1 1 1 1
                   6647:                                                                    * 2  2 1 1 1
                   6648:                                                                    * 3  1 2 1 1
                   6649:                                                                    */
                   6650:         /* nbcode[1][1]=0 nbcode[1][2]=1;*/
                   6651:        }
                   6652:        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   6653:        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   6654:        for (k=1; k<=cptcovprod;k++)
                   6655:         cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.220     brouard  6656:                        
                   6657:                        
1.222     brouard  6658:        for(theta=1; theta <=npar; theta++){
                   6659:         for(i=1; i<=npar; i++)
                   6660:           xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
1.220     brouard  6661:                                
1.222     brouard  6662:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
1.220     brouard  6663:                                
1.222     brouard  6664:         k=0;
                   6665:         for(i=1; i<= (nlstate); i++){
                   6666:           for(j=1; j<=(nlstate+ndeath);j++){
                   6667:             k=k+1;
                   6668:             gp[k]=pmmij[i][j];
                   6669:           }
                   6670:         }
1.220     brouard  6671:                                
1.222     brouard  6672:         for(i=1; i<=npar; i++)
                   6673:           xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
1.220     brouard  6674:                                
1.222     brouard  6675:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   6676:         k=0;
                   6677:         for(i=1; i<=(nlstate); i++){
                   6678:           for(j=1; j<=(nlstate+ndeath);j++){
                   6679:             k=k+1;
                   6680:             gm[k]=pmmij[i][j];
                   6681:           }
                   6682:         }
1.220     brouard  6683:                                
1.222     brouard  6684:         for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   6685:           gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   6686:        }
1.126     brouard  6687: 
1.222     brouard  6688:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   6689:         for(theta=1; theta <=npar; theta++)
                   6690:           trgradg[j][theta]=gradg[theta][j];
1.220     brouard  6691:                        
1.222     brouard  6692:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   6693:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
1.220     brouard  6694:                        
1.222     brouard  6695:        pmij(pmmij,cov,ncovmodel,x,nlstate);
1.220     brouard  6696:                        
1.222     brouard  6697:        k=0;
                   6698:        for(i=1; i<=(nlstate); i++){
                   6699:         for(j=1; j<=(nlstate+ndeath);j++){
                   6700:           k=k+1;
                   6701:           mu[k][(int) age]=pmmij[i][j];
                   6702:         }
                   6703:        }
                   6704:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   6705:         for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   6706:           varpij[i][j][(int)age] = doldm[i][j];
1.220     brouard  6707:                        
1.222     brouard  6708:        /*printf("\n%d ",(int)age);
                   6709:         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   6710:         printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   6711:         fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   6712:         }*/
1.220     brouard  6713:                        
1.222     brouard  6714:        fprintf(ficresprob,"\n%d ",(int)age);
                   6715:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   6716:        fprintf(ficresprobcor,"\n%d ",(int)age);
1.220     brouard  6717:                        
1.222     brouard  6718:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   6719:         fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   6720:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   6721:         fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   6722:         fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   6723:        }
                   6724:        i=0;
                   6725:        for (k=1; k<=(nlstate);k++){
                   6726:         for (l=1; l<=(nlstate+ndeath);l++){ 
                   6727:           i++;
                   6728:           fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   6729:           fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   6730:           for (j=1; j<=i;j++){
                   6731:             /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
                   6732:             fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   6733:             fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   6734:           }
                   6735:         }
                   6736:        }/* end of loop for state */
                   6737:      } /* end of loop for age */
                   6738:      free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   6739:      free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   6740:      free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   6741:      free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   6742:     
                   6743:      /* Confidence intervalle of pij  */
                   6744:      /*
                   6745:        fprintf(ficgp,"\nunset parametric;unset label");
                   6746:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   6747:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   6748:        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);
                   6749:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   6750:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   6751:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   6752:      */
                   6753:                
                   6754:      /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
                   6755:      first1=1;first2=2;
                   6756:      for (k2=1; k2<=(nlstate);k2++){
                   6757:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   6758:         if(l2==k2) continue;
                   6759:         j=(k2-1)*(nlstate+ndeath)+l2;
                   6760:         for (k1=1; k1<=(nlstate);k1++){
                   6761:           for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   6762:             if(l1==k1) continue;
                   6763:             i=(k1-1)*(nlstate+ndeath)+l1;
                   6764:             if(i<=j) continue;
                   6765:             for (age=bage; age<=fage; age ++){ 
                   6766:               if ((int)age %5==0){
                   6767:                 v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   6768:                 v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   6769:                 cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   6770:                 mu1=mu[i][(int) age]/stepm*YEARM ;
                   6771:                 mu2=mu[j][(int) age]/stepm*YEARM;
                   6772:                 c12=cv12/sqrt(v1*v2);
                   6773:                 /* Computing eigen value of matrix of covariance */
                   6774:                 lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   6775:                 lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   6776:                 if ((lc2 <0) || (lc1 <0) ){
                   6777:                   if(first2==1){
                   6778:                     first1=0;
                   6779:                     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);
                   6780:                   }
                   6781:                   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);
                   6782:                   /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   6783:                   /* lc2=fabs(lc2); */
                   6784:                 }
1.220     brouard  6785:                                                                
1.222     brouard  6786:                 /* Eigen vectors */
1.280     brouard  6787:                 if(1+(v1-lc1)*(v1-lc1)/cv12/cv12 <1.e-5){
                   6788:                   printf(" Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12);
                   6789:                   fprintf(ficlog," Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12);
                   6790:                   v11=(1./sqrt(fabs(1+(v1-lc1)*(v1-lc1)/cv12/cv12)));
                   6791:                 }else
                   6792:                   v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
1.222     brouard  6793:                 /*v21=sqrt(1.-v11*v11); *//* error */
                   6794:                 v21=(lc1-v1)/cv12*v11;
                   6795:                 v12=-v21;
                   6796:                 v22=v11;
                   6797:                 tnalp=v21/v11;
                   6798:                 if(first1==1){
                   6799:                   first1=0;
                   6800:                   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);
                   6801:                 }
                   6802:                 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);
                   6803:                 /*printf(fignu*/
                   6804:                 /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   6805:                 /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   6806:                 if(first==1){
                   6807:                   first=0;
                   6808:                   fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
                   6809:                   fprintf(ficgp,"\nset parametric;unset label");
                   6810:                   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);
                   6811:                   fprintf(ficgp,"\nset ter svg size 640, 480");
1.266     brouard  6812:                   fprintf(fichtmcov,"\n<p><br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
1.220     brouard  6813:  :<a href=\"%s_%d%1d%1d-%1d%1d.svg\">                                                                                                                                          \
1.201     brouard  6814: %s_%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
1.222     brouard  6815:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2,      \
                   6816:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6817:                   fprintf(fichtmcov,"\n<br><img src=\"%s_%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6818:                   fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                   6819:                   fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6820:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   6821:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   6822:                   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  6823:                           mu1,std,v11,sqrt(fabs(lc1)),v12,sqrt(fabs(lc2)), \
                   6824:                           mu2,std,v21,sqrt(fabs(lc1)),v22,sqrt(fabs(lc2))); /* For gnuplot only */
1.222     brouard  6825:                 }else{
                   6826:                   first=0;
                   6827:                   fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   6828:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   6829:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   6830:                   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  6831:                           mu1,std,v11,sqrt(lc1),v12,sqrt(fabs(lc2)),   \
                   6832:                           mu2,std,v21,sqrt(lc1),v22,sqrt(fabs(lc2)));
1.222     brouard  6833:                 }/* if first */
                   6834:               } /* age mod 5 */
                   6835:             } /* end loop age */
                   6836:             fprintf(ficgp,"\nset out;\nset out \"%s_%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6837:             first=1;
                   6838:           } /*l12 */
                   6839:         } /* k12 */
                   6840:        } /*l1 */
                   6841:      }/* k1 */
                   6842:    }  /* loop on combination of covariates j1 */
                   6843:    free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   6844:    free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   6845:    free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   6846:    free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   6847:    free_vector(xp,1,npar);
                   6848:    fclose(ficresprob);
                   6849:    fclose(ficresprobcov);
                   6850:    fclose(ficresprobcor);
                   6851:    fflush(ficgp);
                   6852:    fflush(fichtmcov);
                   6853:  }
1.126     brouard  6854: 
                   6855: 
                   6856: /******************* Printing html file ***********/
1.201     brouard  6857: void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  6858:                  int lastpass, int stepm, int weightopt, char model[],\
                   6859:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
1.296     brouard  6860:                  int popforecast, int mobilav, int prevfcast, int mobilavproj, int prevbcast, int estepm , \
                   6861:                  double jprev1, double mprev1,double anprev1, double dateprev1, double dateprojd, double dateback1, \
                   6862:                  double jprev2, double mprev2,double anprev2, double dateprev2, double dateprojf, double dateback2){
1.237     brouard  6863:   int jj1, k1, i1, cpt, k4, nres;
1.126     brouard  6864: 
                   6865:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   6866:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   6867: </ul>");
1.237     brouard  6868:    fprintf(fichtm,"<ul><li> model=1+age+%s\n \
                   6869: </ul>", model);
1.214     brouard  6870:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n");
                   6871:    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",
                   6872:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTMFR_",".htm"),subdirfext3(optionfilefiname,"PHTMFR_",".htm"));
                   6873:    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  6874:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTM_",".htm"),subdirfext3(optionfilefiname,"PHTM_",".htm"));
                   6875:    fprintf(fichtm,",  <a href=\"%s\">%s</a> (text file) <br>\n",subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_"));
1.126     brouard  6876:    fprintf(fichtm,"\
                   6877:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
1.201     brouard  6878:           stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_"));
1.126     brouard  6879:    fprintf(fichtm,"\
1.217     brouard  6880:  - Estimated back transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
                   6881:           stepm,subdirf2(fileresu,"PIJB_"),subdirf2(fileresu,"PIJB_"));
                   6882:    fprintf(fichtm,"\
1.288     brouard  6883:  - Period (forward) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  6884:           subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
1.126     brouard  6885:    fprintf(fichtm,"\
1.288     brouard  6886:  - Backward prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.217     brouard  6887:           subdirf2(fileresu,"PLB_"),subdirf2(fileresu,"PLB_"));
                   6888:    fprintf(fichtm,"\
1.211     brouard  6889:  - (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  6890:    <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  6891:           estepm,subdirf2(fileresu,"E_"),subdirf2(fileresu,"E_"));
1.211     brouard  6892:    if(prevfcast==1){
                   6893:      fprintf(fichtm,"\
                   6894:  - Prevalence projections by age and states:                           \
1.201     brouard  6895:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
1.211     brouard  6896:    }
1.126     brouard  6897: 
                   6898: 
1.225     brouard  6899:    m=pow(2,cptcoveff);
1.222     brouard  6900:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  6901: 
1.264     brouard  6902:    fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
                   6903: 
                   6904:    jj1=0;
                   6905: 
                   6906:    fprintf(fichtm," \n<ul>");
                   6907:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   6908:    for(k1=1; k1<=m;k1++){ /* For each combination of covariate */
                   6909:      if(m != 1 && TKresult[nres]!= k1)
                   6910:        continue;
                   6911:      jj1++;
                   6912:      if (cptcovn > 0) {
                   6913:        fprintf(fichtm,"\n<li><a  size=\"1\" color=\"#EC5E5E\" href=\"#rescov");
                   6914:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   6915:         fprintf(fichtm,"_V%d=%d_",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6916:        }
                   6917:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6918:         fprintf(fichtm,"_V%d=%f_",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6919:        }
                   6920:        fprintf(fichtm,"\">");
                   6921:        
                   6922:        /* if(nqfveff+nqtveff 0) */ /* Test to be done */
                   6923:        fprintf(fichtm,"************ Results for covariates");
                   6924:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   6925:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6926:        }
                   6927:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6928:         fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6929:        }
                   6930:        if(invalidvarcomb[k1]){
                   6931:         fprintf(fichtm," Warning Combination (%d) ignored because no cases ",k1); 
                   6932:         continue;
                   6933:        }
                   6934:        fprintf(fichtm,"</a></li>");
                   6935:      } /* cptcovn >0 */
                   6936:    }
                   6937:      fprintf(fichtm," \n</ul>");
                   6938: 
1.222     brouard  6939:    jj1=0;
1.237     brouard  6940: 
                   6941:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
1.241     brouard  6942:    for(k1=1; k1<=m;k1++){ /* For each combination of covariate */
1.253     brouard  6943:      if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  6944:        continue;
1.220     brouard  6945: 
1.222     brouard  6946:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   6947:      jj1++;
                   6948:      if (cptcovn > 0) {
1.264     brouard  6949:        fprintf(fichtm,"\n<p><a name=\"rescov");
                   6950:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   6951:         fprintf(fichtm,"_V%d=%d_",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6952:        }
                   6953:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6954:         fprintf(fichtm,"_V%d=%f_",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6955:        }
                   6956:        fprintf(fichtm,"\"</a>");
                   6957:  
1.222     brouard  6958:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  6959:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
1.237     brouard  6960:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6961:         printf(" V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);fflush(stdout);
                   6962:         /* fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]); */
                   6963:         /* printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout); */
1.222     brouard  6964:        }
1.237     brouard  6965:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6966:        fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6967:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);fflush(stdout);
                   6968:       }
                   6969:        
1.230     brouard  6970:        /* if(nqfveff+nqtveff 0) */ /* Test to be done */
1.222     brouard  6971:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   6972:        if(invalidvarcomb[k1]){
                   6973:         fprintf(fichtm,"\n<h3>Combination (%d) ignored because no cases </h3>\n",k1); 
                   6974:         printf("\nCombination (%d) ignored because no cases \n",k1); 
                   6975:         continue;
                   6976:        }
                   6977:      }
                   6978:      /* aij, bij */
1.259     brouard  6979:      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  6980: <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  6981:      /* Pij */
1.241     brouard  6982:      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> \
                   6983: <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  6984:      /* Quasi-incidences */
                   6985:      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  6986:  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too, \
1.211     brouard  6987:  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  6988: 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> \
                   6989: <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  6990:      /* Survival functions (period) in state j */
                   6991:      for(cpt=1; cpt<=nlstate;cpt++){
1.292     brouard  6992:        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  6993: <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  6994:      }
                   6995:      /* State specific survival functions (period) */
                   6996:      for(cpt=1; cpt<=nlstate;cpt++){
1.292     brouard  6997:        fprintf(fichtm,"<br>\n- Survival functions in state %d and in any other live state (total).\
                   6998:  And probability to be observed in various states (up to %d) being in state %d at different ages.      \
1.283     brouard  6999:  <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  7000:      }
1.288     brouard  7001:      /* Period (forward stable) prevalence in each health state */
1.222     brouard  7002:      for(cpt=1; cpt<=nlstate;cpt++){
1.264     brouard  7003:        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> \
                   7004: <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  7005:      }
1.296     brouard  7006:      if(prevbcast==1){
1.288     brouard  7007:        /* Backward prevalence in each health state */
1.222     brouard  7008:        for(cpt=1; cpt<=nlstate;cpt++){
1.264     brouard  7009:         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  7010: <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  7011:        }
1.217     brouard  7012:      }
1.222     brouard  7013:      if(prevfcast==1){
1.288     brouard  7014:        /* Projection of prevalence up to period (forward stable) prevalence in each health state */
1.222     brouard  7015:        for(cpt=1; cpt<=nlstate;cpt++){
1.288     brouard  7016:         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  7017: <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  7018:        }
                   7019:      }
1.296     brouard  7020:      if(prevbcast==1){
1.268     brouard  7021:       /* Back projection of prevalence up to stable (mixed) back-prevalence in each health state */
                   7022:        for(cpt=1; cpt<=nlstate;cpt++){
1.273     brouard  7023:         fprintf(fichtm,"<br>\n- Back projection of cross-sectional prevalence (estimated with cases observed from %.1f to %.1f and mobil_average=%d), \
                   7024:  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 \
                   7025:  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) \
                   7026: with weights corresponding to observed prevalence at different ages. <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a><br> \
                   7027:  <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  7028:        }
                   7029:      }
1.220     brouard  7030:         
1.222     brouard  7031:      for(cpt=1; cpt<=nlstate;cpt++) {
1.241     brouard  7032:        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> \
                   7033: <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  7034:      }
                   7035:      /* } /\* end i1 *\/ */
                   7036:    }/* End k1 */
                   7037:    fprintf(fichtm,"</ul>");
1.126     brouard  7038: 
1.222     brouard  7039:    fprintf(fichtm,"\
1.126     brouard  7040: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
1.193     brouard  7041:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
1.203     brouard  7042:  - 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  7043: But because parameters are usually highly correlated (a higher incidence of disability \
                   7044: and a higher incidence of recovery can give very close observed transition) it might \
                   7045: be very useful to look not only at linear confidence intervals estimated from the \
                   7046: variances but at the covariance matrix. And instead of looking at the estimated coefficients \
                   7047: (parameters) of the logistic regression, it might be more meaningful to visualize the \
                   7048: covariance matrix of the one-step probabilities. \
                   7049: See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
1.126     brouard  7050: 
1.222     brouard  7051:    fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   7052:           subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_"));
                   7053:    fprintf(fichtm,"\
1.126     brouard  7054:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  7055:           subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_"));
1.126     brouard  7056: 
1.222     brouard  7057:    fprintf(fichtm,"\
1.126     brouard  7058:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  7059:           subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"PROBCOR_"));
                   7060:    fprintf(fichtm,"\
1.126     brouard  7061:  - 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): \
                   7062:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  7063:           estepm,subdirf2(fileresu,"CVE_"),subdirf2(fileresu,"CVE_"));
1.222     brouard  7064:    fprintf(fichtm,"\
1.126     brouard  7065:  - (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): \
                   7066:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  7067:           estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_"));
1.222     brouard  7068:    fprintf(fichtm,"\
1.288     brouard  7069:  - 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  7070:           estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_"));
                   7071:    fprintf(fichtm,"\
1.128     brouard  7072:  - 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  7073:           estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_"));
                   7074:    fprintf(fichtm,"\
1.288     brouard  7075:  - Standard deviation of forward (period) prevalences: <a href=\"%s\">%s</a> <br>\n",\
1.222     brouard  7076:           subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
1.126     brouard  7077: 
                   7078: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   7079: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   7080: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   7081: /*     <br>",fileres,fileres,fileres,fileres); */
                   7082: /*  else  */
                   7083: /*    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  7084:    fflush(fichtm);
                   7085:    fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
1.126     brouard  7086: 
1.225     brouard  7087:    m=pow(2,cptcoveff);
1.222     brouard  7088:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  7089: 
1.222     brouard  7090:    jj1=0;
1.237     brouard  7091: 
1.241     brouard  7092:    for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.222     brouard  7093:    for(k1=1; k1<=m;k1++){
1.253     brouard  7094:      if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7095:        continue;
1.222     brouard  7096:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   7097:      jj1++;
1.126     brouard  7098:      if (cptcovn > 0) {
                   7099:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  7100:        for (cpt=1; cpt<=cptcoveff;cpt++)  /**< cptcoveff number of variables */
1.237     brouard  7101:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);
                   7102:         /* fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]); */
                   7103:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7104:        fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7105:       }
                   7106: 
1.126     brouard  7107:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  7108: 
1.222     brouard  7109:        if(invalidvarcomb[k1]){
                   7110:         fprintf(fichtm,"\n<h4>Combination (%d) ignored because no cases </h4>\n",k1); 
                   7111:         continue;
                   7112:        }
1.126     brouard  7113:      }
                   7114:      for(cpt=1; cpt<=nlstate;cpt++) {
1.258     brouard  7115:        fprintf(fichtm,"\n<br>- Observed (cross-sectional with mov_average=%d) and period (incidence based) \
1.241     brouard  7116: 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  7117: <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  7118:      }
                   7119:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.128     brouard  7120: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
                   7121: true period expectancies (those weighted with period prevalences are also\
                   7122:  drawn in addition to the population based expectancies computed using\
1.241     brouard  7123:  observed and cahotic prevalences:  <a href=\"%s_%d-%d.svg\">%s_%d-%d.svg</a>\n<br>\
                   7124: <img src=\"%s_%d-%d.svg\">",subdirf2(optionfilefiname,"E_"),k1,nres,subdirf2(optionfilefiname,"E_"),k1,nres,subdirf2(optionfilefiname,"E_"),k1,nres);
1.222     brouard  7125:      /* } /\* end i1 *\/ */
                   7126:    }/* End k1 */
1.241     brouard  7127:   }/* End nres */
1.222     brouard  7128:    fprintf(fichtm,"</ul>");
                   7129:    fflush(fichtm);
1.126     brouard  7130: }
                   7131: 
                   7132: /******************* Gnuplot file **************/
1.296     brouard  7133: 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  7134: 
                   7135:   char dirfileres[132],optfileres[132];
1.264     brouard  7136:   char gplotcondition[132], gplotlabel[132];
1.237     brouard  7137:   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  7138:   int lv=0, vlv=0, kl=0;
1.130     brouard  7139:   int ng=0;
1.201     brouard  7140:   int vpopbased;
1.223     brouard  7141:   int ioffset; /* variable offset for columns */
1.270     brouard  7142:   int iyearc=1; /* variable column for year of projection  */
                   7143:   int iagec=1; /* variable column for age of projection  */
1.235     brouard  7144:   int nres=0; /* Index of resultline */
1.266     brouard  7145:   int istart=1; /* For starting graphs in projections */
1.219     brouard  7146: 
1.126     brouard  7147: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   7148: /*     printf("Problem with file %s",optionfilegnuplot); */
                   7149: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   7150: /*   } */
                   7151: 
                   7152:   /*#ifdef windows */
                   7153:   fprintf(ficgp,"cd \"%s\" \n",pathc);
1.223     brouard  7154:   /*#endif */
1.225     brouard  7155:   m=pow(2,cptcoveff);
1.126     brouard  7156: 
1.274     brouard  7157:   /* diagram of the model */
                   7158:   fprintf(ficgp,"\n#Diagram of the model \n");
                   7159:   fprintf(ficgp,"\ndelta=0.03;delta2=0.07;unset arrow;\n");
                   7160:   fprintf(ficgp,"yoff=(%d > 2? 0:1);\n",nlstate);
                   7161:   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);
                   7162: 
                   7163:   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);
                   7164:   fprintf(ficgp,"\n#show arrow\nunset label\n");
                   7165:   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);
                   7166:   fprintf(ficgp,"\nset label %d+1 sprintf(\"State %%d\",%d+1) center at 0.,0.  font \"helvetica, 16\" tc rgbcolor \"red\"\n",nlstate,nlstate);
                   7167:   fprintf(ficgp,"\n#show label\nunset border;unset xtics; unset ytics;\n");
                   7168:   fprintf(ficgp,"\n\nset ter svg size 640, 480;set out \"%s_.svg\" \n",subdirf2(optionfilefiname,"D_"));
                   7169:   fprintf(ficgp,"unset log y; plot [-1.2:1.2][yoff-1.2:1.2] 1/0 not; set out;reset;\n");
                   7170: 
1.202     brouard  7171:   /* Contribution to likelihood */
                   7172:   /* Plot the probability implied in the likelihood */
1.223     brouard  7173:   fprintf(ficgp,"\n# Contributions to the Likelihood, mle >=1. For mle=4 no interpolation, pure matrix products.\n#\n");
                   7174:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Likelihood (-2Log(L))\";");
                   7175:   /* fprintf(ficgp,"\nset ter svg size 640, 480"); */ /* Too big for svg */
                   7176:   fprintf(ficgp,"\nset ter pngcairo size 640, 480");
1.204     brouard  7177: /* nice for mle=4 plot by number of matrix products.
1.202     brouard  7178:    replot  "rrtest1/toto.txt" u 2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with point lc 1 */
                   7179: /* replot exp(p1+p2*x)/(1+exp(p1+p2*x)+exp(p3+p4*x)+exp(p5+p6*x)) t "p12(x)"  */
1.223     brouard  7180:   /* fprintf(ficgp,"\nset out \"%s.svg\";",subdirf2(optionfilefiname,"ILK_")); */
                   7181:   fprintf(ficgp,"\nset out \"%s-dest.png\";",subdirf2(optionfilefiname,"ILK_"));
                   7182:   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));
                   7183:   fprintf(ficgp,"\nset out \"%s-ori.png\";",subdirf2(optionfilefiname,"ILK_"));
                   7184:   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));
                   7185:   for (i=1; i<= nlstate ; i ++) {
                   7186:     fprintf(ficgp,"\nset out \"%s-p%dj.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i);
                   7187:     fprintf(ficgp,"unset log;\n# plot weighted, mean weight should have point size of 0.5\n plot  \"%s\"",subdirf(fileresilk));
                   7188:     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);
                   7189:     for (j=2; j<= nlstate+ndeath ; j ++) {
                   7190:       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);
                   7191:     }
                   7192:     fprintf(ficgp,";\nset out; unset ylabel;\n"); 
                   7193:   }
                   7194:   /* 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 */               
                   7195:   /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
                   7196:   /* fprintf(ficgp,"\nreplot  \"%s\" u 2:($3 <= 3 ? -$11 : 1/0):3 t \"First 3 individuals\" with line lc variable", subdirf(fileresilk)); */
                   7197:   fprintf(ficgp,"\nset out;unset log\n");
                   7198:   /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
1.202     brouard  7199: 
1.126     brouard  7200:   strcpy(dirfileres,optionfilefiname);
                   7201:   strcpy(optfileres,"vpl");
1.223     brouard  7202:   /* 1eme*/
1.238     brouard  7203:   for (cpt=1; cpt<= nlstate ; cpt ++){ /* For each live state */
                   7204:     for (k1=1; k1<= m ; k1 ++){ /* For each valid combination of covariate */
1.236     brouard  7205:       for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.238     brouard  7206:        /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
1.253     brouard  7207:        if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7208:          continue;
                   7209:        /* We are interested in selected combination by the resultline */
1.246     brouard  7210:        /* printf("\n# 1st: Period (stable) prevalence with CI: 'VPL_' files and live state =%d ", cpt); */
1.288     brouard  7211:        fprintf(ficgp,"\n# 1st: Forward (stable period) prevalence with CI: 'VPL_' files  and live state =%d ", cpt);
1.264     brouard  7212:        strcpy(gplotlabel,"(");
1.238     brouard  7213:        for (k=1; k<=cptcoveff; k++){    /* For each covariate k get corresponding value lv for combination k1 */
                   7214:          lv= decodtabm(k1,k,cptcoveff); /* Should be the value of the covariate corresponding to k1 combination */
                   7215:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7216:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7217:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7218:          vlv= nbcode[Tvaraff[k]][lv]; /* vlv is the value of the covariate lv, 0 or 1 */
                   7219:          /* For each combination of covariate k1 (V1=1, V3=0), we printed the current covariate k and its value vlv */
1.246     brouard  7220:          /* printf(" V%d=%d ",Tvaraff[k],vlv); */
1.238     brouard  7221:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7222:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7223:        }
                   7224:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.246     brouard  7225:          /* printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
1.238     brouard  7226:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7227:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7228:        }
                   7229:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.246     brouard  7230:        /* printf("\n#\n"); */
1.238     brouard  7231:        fprintf(ficgp,"\n#\n");
                   7232:        if(invalidvarcomb[k1]){
1.260     brouard  7233:           /*k1=k1-1;*/ /* To be checked */
1.238     brouard  7234:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7235:          continue;
                   7236:        }
1.235     brouard  7237:       
1.241     brouard  7238:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1,nres);
                   7239:        fprintf(ficgp,"\n#set out \"V_%s_%d-%d-%d.svg\" \n",optionfilefiname,cpt,k1,nres);
1.276     brouard  7240:        /* fprintf(ficgp,"set label \"Alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel); */
                   7241:        fprintf(ficgp,"set title \"Alive state %d %s\" font \"Helvetica,12\"\n",cpt,gplotlabel);
1.260     brouard  7242:        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);
                   7243:        /* 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); */
                   7244:       /* k1-1 error should be nres-1*/
1.238     brouard  7245:        for (i=1; i<= nlstate ; i ++) {
                   7246:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7247:          else        fprintf(ficgp," %%*lf (%%*lf)");
                   7248:        }
1.288     brouard  7249:        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  7250:        for (i=1; i<= nlstate ; i ++) {
                   7251:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7252:          else fprintf(ficgp," %%*lf (%%*lf)");
                   7253:        } 
1.260     brouard  7254:        fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2==%d ? $3-1.96*$4 : 1/0) \"%%lf %%lf",subdirf2(fileresu,"VPL_"),nres-1,nres-1,nres); 
1.238     brouard  7255:        for (i=1; i<= nlstate ; i ++) {
                   7256:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7257:          else fprintf(ficgp," %%*lf (%%*lf)");
                   7258:        }  
1.265     brouard  7259:        /* fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence\" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1)); */
                   7260:        
                   7261:        fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" u 1:((",subdirf2(fileresu,"P_"));
                   7262:         if(cptcoveff ==0){
1.271     brouard  7263:          fprintf(ficgp,"$%d)) t 'Observed prevalence in state %d' with line lt 3",      2+3*(cpt-1),  cpt );
1.265     brouard  7264:        }else{
                   7265:          kl=0;
                   7266:          for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
                   7267:            lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7268:            /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7269:            /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7270:            /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7271:            vlv= nbcode[Tvaraff[k]][lv];
                   7272:            kl++;
                   7273:            /* 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 *\/ */
                   7274:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7275:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7276:            /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
                   7277:            if(k==cptcoveff){
                   7278:              fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Observed prevalence in state %d' w l lt 2",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
                   7279:                      2+cptcoveff*2+3*(cpt-1),  cpt );  /* 4 or 6 ?*/
                   7280:            }else{
                   7281:              fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                   7282:              kl++;
                   7283:            }
                   7284:          } /* end covariate */
                   7285:        } /* end if no covariate */
                   7286: 
1.296     brouard  7287:        if(prevbcast==1){ /* We need to get the corresponding values of the covariates involved in this combination k1 */
1.238     brouard  7288:          /* fprintf(ficgp,",\"%s\" every :::%d::%d u 1:($%d) t\"Backward stable prevalence\" w l lt 3",subdirf2(fileresu,"PLB_"),k1-1,k1-1,1+cpt); */
1.242     brouard  7289:          fprintf(ficgp,",\"%s\" u 1:((",subdirf2(fileresu,"PLB_")); /* Age is in 1, nres in 2 to be fixed */
1.238     brouard  7290:          if(cptcoveff ==0){
1.245     brouard  7291:            fprintf(ficgp,"$%d)) t 'Backward prevalence in state %d' with line lt 3",    2+(cpt-1),  cpt );
1.238     brouard  7292:          }else{
                   7293:            kl=0;
                   7294:            for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
                   7295:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7296:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7297:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7298:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7299:              vlv= nbcode[Tvaraff[k]][lv];
1.223     brouard  7300:              kl++;
1.238     brouard  7301:              /* 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 *\/ */
                   7302:              /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7303:              /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7304:              /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
                   7305:              if(k==cptcoveff){
1.245     brouard  7306:                fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Backward prevalence in state %d' w l lt 3",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
1.242     brouard  7307:                        2+cptcoveff*2+(cpt-1),  cpt );  /* 4 or 6 ?*/
1.238     brouard  7308:              }else{
                   7309:                fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                   7310:                kl++;
                   7311:              }
                   7312:            } /* end covariate */
                   7313:          } /* end if no covariate */
1.296     brouard  7314:          if(prevbcast == 1){
1.268     brouard  7315:            fprintf(ficgp,", \"%s\" every :::%d::%d u 1:($2==%d ? $3:1/0) \"%%lf %%lf",subdirf2(fileresu,"VBL_"),nres-1,nres-1,nres);
                   7316:            /* k1-1 error should be nres-1*/
                   7317:            for (i=1; i<= nlstate ; i ++) {
                   7318:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7319:              else        fprintf(ficgp," %%*lf (%%*lf)");
                   7320:            }
1.271     brouard  7321:            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  7322:            for (i=1; i<= nlstate ; i ++) {
                   7323:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7324:              else fprintf(ficgp," %%*lf (%%*lf)");
                   7325:            } 
1.276     brouard  7326:            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  7327:            for (i=1; i<= nlstate ; i ++) {
                   7328:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7329:              else fprintf(ficgp," %%*lf (%%*lf)");
                   7330:            } 
1.274     brouard  7331:            fprintf(ficgp,"\" t\"\" w l lt 4");
1.268     brouard  7332:          } /* end if backprojcast */
1.296     brouard  7333:        } /* end if prevbcast */
1.276     brouard  7334:        /* fprintf(ficgp,"\nset out ;unset label;\n"); */
                   7335:        fprintf(ficgp,"\nset out ;unset title;\n");
1.238     brouard  7336:       } /* nres */
1.201     brouard  7337:     } /* k1 */
                   7338:   } /* cpt */
1.235     brouard  7339: 
                   7340:   
1.126     brouard  7341:   /*2 eme*/
1.238     brouard  7342:   for (k1=1; k1<= m ; k1 ++){  
                   7343:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7344:       if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7345:        continue;
                   7346:       fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files ");
1.264     brouard  7347:       strcpy(gplotlabel,"(");
1.238     brouard  7348:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.225     brouard  7349:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  7350:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7351:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7352:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7353:        vlv= nbcode[Tvaraff[k]][lv];
                   7354:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7355:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  7356:       }
1.237     brouard  7357:       /* for(k=1; k <= ncovds; k++){ */
1.236     brouard  7358:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.238     brouard  7359:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.236     brouard  7360:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7361:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7362:       }
1.264     brouard  7363:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.211     brouard  7364:       fprintf(ficgp,"\n#\n");
1.223     brouard  7365:       if(invalidvarcomb[k1]){
                   7366:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7367:        continue;
                   7368:       }
1.219     brouard  7369:                        
1.241     brouard  7370:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"E_"),k1,nres);
1.238     brouard  7371:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.264     brouard  7372:        fprintf(ficgp,"\nset label \"popbased %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",vpopbased,gplotlabel);
                   7373:        if(vpopbased==0){
1.238     brouard  7374:          fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
1.264     brouard  7375:        }else
1.238     brouard  7376:          fprintf(ficgp,"\nreplot ");
                   7377:        for (i=1; i<= nlstate+1 ; i ++) {
                   7378:          k=2*i;
1.261     brouard  7379:          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  7380:          for (j=1; j<= nlstate+1 ; j ++) {
                   7381:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7382:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7383:          }   
                   7384:          if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l lt %d, \\\n",i);
                   7385:          else fprintf(ficgp,"\" t\"LE in state (%d)\" w l lt %d, \\\n",i-1,i+1);
1.261     brouard  7386:          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  7387:          for (j=1; j<= nlstate+1 ; j ++) {
                   7388:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7389:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7390:          }   
                   7391:          fprintf(ficgp,"\" t\"\" w l lt 0,");
1.261     brouard  7392:          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  7393:          for (j=1; j<= nlstate+1 ; j ++) {
                   7394:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7395:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7396:          }   
                   7397:          if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   7398:          else fprintf(ficgp,"\" t\"\" w l lt 0,\\\n");
                   7399:        } /* state */
                   7400:       } /* vpopbased */
1.264     brouard  7401:       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  7402:     } /* end nres */
                   7403:   } /* k1 end 2 eme*/
                   7404:        
                   7405:        
                   7406:   /*3eme*/
                   7407:   for (k1=1; k1<= m ; k1 ++){
                   7408:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7409:       if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7410:        continue;
                   7411: 
                   7412:       for (cpt=1; cpt<= nlstate ; cpt ++) {
1.261     brouard  7413:        fprintf(ficgp,"\n\n# 3d: Life expectancy with EXP_ files:  combination=%d state=%d",k1, cpt);
1.264     brouard  7414:        strcpy(gplotlabel,"(");
1.238     brouard  7415:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7416:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7417:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7418:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7419:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7420:          vlv= nbcode[Tvaraff[k]][lv];
                   7421:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7422:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7423:        }
                   7424:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7425:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7426:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7427:        }       
1.264     brouard  7428:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7429:        fprintf(ficgp,"\n#\n");
                   7430:        if(invalidvarcomb[k1]){
                   7431:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7432:          continue;
                   7433:        }
                   7434:                        
                   7435:        /*       k=2+nlstate*(2*cpt-2); */
                   7436:        k=2+(nlstate+1)*(cpt-1);
1.241     brouard  7437:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres);
1.264     brouard  7438:        fprintf(ficgp,"set label \"%s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",gplotlabel);
1.238     brouard  7439:        fprintf(ficgp,"set ter svg size 640, 480\n\
1.261     brouard  7440: 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  7441:        /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   7442:          for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   7443:          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   7444:          fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   7445:          for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   7446:          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
1.219     brouard  7447:                                
1.238     brouard  7448:        */
                   7449:        for (i=1; i< nlstate ; i ++) {
1.261     brouard  7450:          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  7451:          /*    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  7452:                                
1.238     brouard  7453:        } 
1.261     brouard  7454:        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  7455:       }
1.264     brouard  7456:       fprintf(ficgp,"\nunset label;\n");
1.238     brouard  7457:     } /* end nres */
                   7458:   } /* end kl 3eme */
1.126     brouard  7459:   
1.223     brouard  7460:   /* 4eme */
1.201     brouard  7461:   /* Survival functions (period) from state i in state j by initial state i */
1.238     brouard  7462:   for (k1=1; k1<=m; k1++){    /* For each covariate and each value */
                   7463:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7464:       if(m != 1 && TKresult[nres]!= k1)
1.223     brouard  7465:        continue;
1.238     brouard  7466:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state cpt*/
1.264     brouard  7467:        strcpy(gplotlabel,"(");
1.238     brouard  7468:        fprintf(ficgp,"\n#\n#\n# Survival functions in state j : 'LIJ_' files, cov=%d state=%d",k1, cpt);
                   7469:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7470:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7471:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7472:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7473:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7474:          vlv= nbcode[Tvaraff[k]][lv];
                   7475:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7476:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7477:        }
                   7478:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7479:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7480:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7481:        }       
1.264     brouard  7482:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7483:        fprintf(ficgp,"\n#\n");
                   7484:        if(invalidvarcomb[k1]){
                   7485:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7486:          continue;
1.223     brouard  7487:        }
1.238     brouard  7488:       
1.241     brouard  7489:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres);
1.264     brouard  7490:        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  7491:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   7492: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7493:        k=3;
                   7494:        for (i=1; i<= nlstate ; i ++){
                   7495:          if(i==1){
                   7496:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7497:          }else{
                   7498:            fprintf(ficgp,", '' ");
                   7499:          }
                   7500:          l=(nlstate+ndeath)*(i-1)+1;
                   7501:          fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   7502:          for (j=2; j<= nlstate+ndeath ; j ++)
                   7503:            fprintf(ficgp,"+$%d",k+l+j-1);
                   7504:          fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
                   7505:        } /* nlstate */
1.264     brouard  7506:        fprintf(ficgp,"\nset out; unset label;\n");
1.238     brouard  7507:       } /* end cpt state*/ 
                   7508:     } /* end nres */
                   7509:   } /* end covariate k1 */  
                   7510: 
1.220     brouard  7511: /* 5eme */
1.201     brouard  7512:   /* Survival functions (period) from state i in state j by final state j */
1.238     brouard  7513:   for (k1=1; k1<= m ; k1++){ /* For each covariate combination if any */
                   7514:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7515:       if(m != 1 && TKresult[nres]!= k1)
1.227     brouard  7516:        continue;
1.238     brouard  7517:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each inital state  */
1.264     brouard  7518:        strcpy(gplotlabel,"(");
1.238     brouard  7519:        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);
                   7520:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7521:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7522:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7523:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7524:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7525:          vlv= nbcode[Tvaraff[k]][lv];
                   7526:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7527:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7528:        }
                   7529:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7530:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7531:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7532:        }       
1.264     brouard  7533:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7534:        fprintf(ficgp,"\n#\n");
                   7535:        if(invalidvarcomb[k1]){
                   7536:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7537:          continue;
                   7538:        }
1.227     brouard  7539:       
1.241     brouard  7540:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres);
1.264     brouard  7541:        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  7542:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   7543: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7544:        k=3;
                   7545:        for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   7546:          if(j==1)
                   7547:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7548:          else
                   7549:            fprintf(ficgp,", '' ");
                   7550:          l=(nlstate+ndeath)*(cpt-1) +j;
                   7551:          fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):($%d",k1,k+l);
                   7552:          /* for (i=2; i<= nlstate+ndeath ; i ++) */
                   7553:          /*   fprintf(ficgp,"+$%d",k+l+i-1); */
                   7554:          fprintf(ficgp,") t \"l(%d,%d)\" w l",cpt,j);
                   7555:        } /* nlstate */
                   7556:        fprintf(ficgp,", '' ");
                   7557:        fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):(",k1);
                   7558:        for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   7559:          l=(nlstate+ndeath)*(cpt-1) +j;
                   7560:          if(j < nlstate)
                   7561:            fprintf(ficgp,"$%d +",k+l);
                   7562:          else
                   7563:            fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
                   7564:        }
1.264     brouard  7565:        fprintf(ficgp,"\nset out; unset label;\n");
1.238     brouard  7566:       } /* end cpt state*/ 
                   7567:     } /* end covariate */  
                   7568:   } /* end nres */
1.227     brouard  7569:   
1.220     brouard  7570: /* 6eme */
1.202     brouard  7571:   /* CV preval stable (period) for each covariate */
1.237     brouard  7572:   for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7573:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7574:     if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7575:       continue;
1.255     brouard  7576:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state of arrival */
1.264     brouard  7577:       strcpy(gplotlabel,"(");      
1.288     brouard  7578:       fprintf(ficgp,"\n#\n#\n#CV preval stable (forward): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
1.225     brouard  7579:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.227     brouard  7580:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7581:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7582:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7583:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7584:        vlv= nbcode[Tvaraff[k]][lv];
                   7585:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7586:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  7587:       }
1.237     brouard  7588:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7589:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7590:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7591:       }        
1.264     brouard  7592:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.211     brouard  7593:       fprintf(ficgp,"\n#\n");
1.223     brouard  7594:       if(invalidvarcomb[k1]){
1.227     brouard  7595:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7596:        continue;
1.223     brouard  7597:       }
1.227     brouard  7598:       
1.241     brouard  7599:       fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"P_"),cpt,k1,nres);
1.264     brouard  7600:       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  7601:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.238     brouard  7602: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  7603:       k=3; /* Offset */
1.255     brouard  7604:       for (i=1; i<= nlstate ; i ++){ /* State of origin */
1.227     brouard  7605:        if(i==1)
                   7606:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7607:        else
                   7608:          fprintf(ficgp,", '' ");
1.255     brouard  7609:        l=(nlstate+ndeath)*(i-1)+1; /* 1, 1+ nlstate+ndeath, 1+2*(nlstate+ndeath) */
1.227     brouard  7610:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   7611:        for (j=2; j<= nlstate ; j ++)
                   7612:          fprintf(ficgp,"+$%d",k+l+j-1);
                   7613:        fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
1.153     brouard  7614:       } /* nlstate */
1.264     brouard  7615:       fprintf(ficgp,"\nset out; unset label;\n");
1.153     brouard  7616:     } /* end cpt state*/ 
                   7617:   } /* end covariate */  
1.227     brouard  7618:   
                   7619:   
1.220     brouard  7620: /* 7eme */
1.296     brouard  7621:   if(prevbcast == 1){
1.288     brouard  7622:     /* CV backward prevalence  for each covariate */
1.237     brouard  7623:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7624:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7625:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7626:        continue;
1.268     brouard  7627:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life origin state */
1.264     brouard  7628:        strcpy(gplotlabel,"(");      
1.288     brouard  7629:        fprintf(ficgp,"\n#\n#\n#CV Backward stable prevalence: 'pijb' files, covariatecombination#=%d state=%d",k1, cpt);
1.227     brouard  7630:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7631:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7632:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7633:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
1.223     brouard  7634:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
1.227     brouard  7635:          vlv= nbcode[Tvaraff[k]][lv];
                   7636:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7637:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.227     brouard  7638:        }
1.237     brouard  7639:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7640:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7641:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7642:        }       
1.264     brouard  7643:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.227     brouard  7644:        fprintf(ficgp,"\n#\n");
                   7645:        if(invalidvarcomb[k1]){
                   7646:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7647:          continue;
                   7648:        }
                   7649:        
1.241     brouard  7650:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PB_"),cpt,k1,nres);
1.268     brouard  7651:        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  7652:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.238     brouard  7653: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.227     brouard  7654:        k=3; /* Offset */
1.268     brouard  7655:        for (i=1; i<= nlstate ; i ++){ /* State of arrival */
1.227     brouard  7656:          if(i==1)
                   7657:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJB_"));
                   7658:          else
                   7659:            fprintf(ficgp,", '' ");
                   7660:          /* l=(nlstate+ndeath)*(i-1)+1; */
1.255     brouard  7661:          l=(nlstate+ndeath)*(cpt-1)+1; /* fixed for i; cpt=1 1, cpt=2 1+ nlstate+ndeath, 1+2*(nlstate+ndeath) */
1.227     brouard  7662:          /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l); /\* a vérifier *\/ */
                   7663:          /* 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  7664:          fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d",k1,k+l+i-1); /* To be verified */
1.227     brouard  7665:          /* for (j=2; j<= nlstate ; j ++) */
                   7666:          /*    fprintf(ficgp,"+$%d",k+l+j-1); */
                   7667:          /*    /\* fprintf(ficgp,"+$%d",k+l+j-1); *\/ */
1.268     brouard  7668:          fprintf(ficgp,") t \"bprev(%d,%d)\" w l",cpt,i);
1.227     brouard  7669:        } /* nlstate */
1.264     brouard  7670:        fprintf(ficgp,"\nset out; unset label;\n");
1.218     brouard  7671:       } /* end cpt state*/ 
                   7672:     } /* end covariate */  
1.296     brouard  7673:   } /* End if prevbcast */
1.218     brouard  7674:   
1.223     brouard  7675:   /* 8eme */
1.218     brouard  7676:   if(prevfcast==1){
1.288     brouard  7677:     /* Projection from cross-sectional to forward stable (period) prevalence for each covariate */
1.218     brouard  7678:     
1.237     brouard  7679:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7680:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7681:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7682:        continue;
1.211     brouard  7683:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.264     brouard  7684:        strcpy(gplotlabel,"(");      
1.288     brouard  7685:        fprintf(ficgp,"\n#\n#\n#Projection of prevalence to forward stable prevalence (period): 'PROJ_' files, covariatecombination#=%d state=%d",k1, cpt);
1.227     brouard  7686:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   7687:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7688:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7689:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7690:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7691:          vlv= nbcode[Tvaraff[k]][lv];
                   7692:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7693:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.227     brouard  7694:        }
1.237     brouard  7695:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7696:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7697:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7698:        }       
1.264     brouard  7699:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.227     brouard  7700:        fprintf(ficgp,"\n#\n");
                   7701:        if(invalidvarcomb[k1]){
                   7702:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7703:          continue;
                   7704:        }
                   7705:        
                   7706:        fprintf(ficgp,"# hpijx=probability over h years, hp.jx is weighted by observed prev\n ");
1.241     brouard  7707:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres);
1.264     brouard  7708:        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  7709:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
1.238     brouard  7710: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.266     brouard  7711: 
                   7712:        /* for (i=1; i<= nlstate+1 ; i ++){  /\* nlstate +1 p11 p21 p.1 *\/ */
                   7713:        istart=nlstate+1; /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7714:        /*istart=1;*/ /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7715:        for (i=istart; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
1.227     brouard  7716:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7717:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   7718:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7719:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
1.266     brouard  7720:          if(i==istart){
1.227     brouard  7721:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"F_"));
                   7722:          }else{
                   7723:            fprintf(ficgp,",\\\n '' ");
                   7724:          }
                   7725:          if(cptcoveff ==0){ /* No covariate */
                   7726:            ioffset=2; /* Age is in 2 */
                   7727:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7728:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7729:            /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7730:            /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7731:            fprintf(ficgp," u %d:(", ioffset); 
1.266     brouard  7732:            if(i==nlstate+1){
1.270     brouard  7733:              fprintf(ficgp," $%d/(1.-$%d)):1 t 'pw.%d' with line lc variable ",        \
1.266     brouard  7734:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   7735:              fprintf(ficgp,",\\\n '' ");
                   7736:              fprintf(ficgp," u %d:(",ioffset); 
1.270     brouard  7737:              fprintf(ficgp," (($1-$2) == %d ) ? $%d/(1.-$%d) : 1/0):1 with labels center not ", \
1.266     brouard  7738:                     offyear,                           \
1.268     brouard  7739:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate );
1.266     brouard  7740:            }else
1.227     brouard  7741:              fprintf(ficgp," $%d/(1.-$%d)) t 'p%d%d' with line ",      \
                   7742:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   7743:          }else{ /* more than 2 covariates */
1.270     brouard  7744:            ioffset=2*cptcoveff+2; /* Age is in 4 or 6 or etc.*/
                   7745:            /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7746:            /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
                   7747:            iyearc=ioffset-1;
                   7748:            iagec=ioffset;
1.227     brouard  7749:            fprintf(ficgp," u %d:(",ioffset); 
                   7750:            kl=0;
                   7751:            strcpy(gplotcondition,"(");
                   7752:            for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                   7753:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
                   7754:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7755:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7756:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7757:              vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   7758:              kl++;
                   7759:              sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                   7760:              kl++;
                   7761:              if(k <cptcoveff && cptcoveff>1)
                   7762:                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   7763:            }
                   7764:            strcpy(gplotcondition+strlen(gplotcondition),")");
                   7765:            /* 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 *\/ */
                   7766:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7767:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7768:            /* ''  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*/
                   7769:            if(i==nlstate+1){
1.270     brouard  7770:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0):%d t 'p.%d' with line lc variable", gplotcondition, \
                   7771:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,iyearc, cpt );
1.266     brouard  7772:              fprintf(ficgp,",\\\n '' ");
1.270     brouard  7773:              fprintf(ficgp," u %d:(",iagec); 
                   7774:              fprintf(ficgp,"%s && (($%d-$%d) == %d ) ? $%d/(1.-$%d) : 1/0):%d with labels center not ", gplotcondition, \
                   7775:                      iyearc, iagec, offyear,                           \
                   7776:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate, iyearc );
1.266     brouard  7777: /*  '' 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  7778:            }else{
                   7779:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \
                   7780:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), ioffset +1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   7781:            }
                   7782:          } /* end if covariate */
                   7783:        } /* nlstate */
1.264     brouard  7784:        fprintf(ficgp,"\nset out; unset label;\n");
1.223     brouard  7785:       } /* end cpt state*/
                   7786:     } /* end covariate */
                   7787:   } /* End if prevfcast */
1.227     brouard  7788:   
1.296     brouard  7789:   if(prevbcast==1){
1.268     brouard  7790:     /* Back projection from cross-sectional to stable (mixed) for each covariate */
                   7791:     
                   7792:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7793:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   7794:       if(m != 1 && TKresult[nres]!= k1)
                   7795:        continue;
                   7796:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
                   7797:        strcpy(gplotlabel,"(");      
                   7798:        fprintf(ficgp,"\n#\n#\n#Back projection of prevalence to stable (mixed) back prevalence: 'BPROJ_' files, covariatecombination#=%d originstate=%d",k1, cpt);
                   7799:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   7800:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7801:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7802:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7803:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7804:          vlv= nbcode[Tvaraff[k]][lv];
                   7805:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   7806:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
                   7807:        }
                   7808:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7809:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7810:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7811:        }       
                   7812:        strcpy(gplotlabel+strlen(gplotlabel),")");
                   7813:        fprintf(ficgp,"\n#\n");
                   7814:        if(invalidvarcomb[k1]){
                   7815:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7816:          continue;
                   7817:        }
                   7818:        
                   7819:        fprintf(ficgp,"# hbijx=backprobability over h years, hb.jx is weighted by observed prev at destination state\n ");
                   7820:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres);
                   7821:        fprintf(ficgp,"set label \"Origin alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
                   7822:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
                   7823: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7824: 
                   7825:        /* for (i=1; i<= nlstate+1 ; i ++){  /\* nlstate +1 p11 p21 p.1 *\/ */
                   7826:        istart=nlstate+1; /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7827:        /*istart=1;*/ /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7828:        for (i=istart; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
                   7829:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7830:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   7831:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7832:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   7833:          if(i==istart){
                   7834:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"FB_"));
                   7835:          }else{
                   7836:            fprintf(ficgp,",\\\n '' ");
                   7837:          }
                   7838:          if(cptcoveff ==0){ /* No covariate */
                   7839:            ioffset=2; /* Age is in 2 */
                   7840:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7841:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7842:            /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7843:            /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7844:            fprintf(ficgp," u %d:(", ioffset); 
                   7845:            if(i==nlstate+1){
1.270     brouard  7846:              fprintf(ficgp," $%d/(1.-$%d)):1 t 'bw%d' with line lc variable ", \
1.268     brouard  7847:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   7848:              fprintf(ficgp,",\\\n '' ");
                   7849:              fprintf(ficgp," u %d:(",ioffset); 
1.270     brouard  7850:              fprintf(ficgp," (($1-$2) == %d ) ? $%d : 1/0):1 with labels center not ", \
1.268     brouard  7851:                     offbyear,                          \
                   7852:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1) );
                   7853:            }else
                   7854:              fprintf(ficgp," $%d/(1.-$%d)) t 'b%d%d' with line ",      \
                   7855:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt,i );
                   7856:          }else{ /* more than 2 covariates */
1.270     brouard  7857:            ioffset=2*cptcoveff+2; /* Age is in 4 or 6 or etc.*/
                   7858:            /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7859:            /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
                   7860:            iyearc=ioffset-1;
                   7861:            iagec=ioffset;
1.268     brouard  7862:            fprintf(ficgp," u %d:(",ioffset); 
                   7863:            kl=0;
                   7864:            strcpy(gplotcondition,"(");
                   7865:            for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                   7866:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
                   7867:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7868:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7869:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7870:              vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   7871:              kl++;
                   7872:              sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                   7873:              kl++;
                   7874:              if(k <cptcoveff && cptcoveff>1)
                   7875:                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   7876:            }
                   7877:            strcpy(gplotcondition+strlen(gplotcondition),")");
                   7878:            /* 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 *\/ */
                   7879:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7880:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7881:            /* ''  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*/
                   7882:            if(i==nlstate+1){
1.270     brouard  7883:              fprintf(ficgp,"%s ? $%d : 1/0):%d t 'bw%d' with line lc variable", gplotcondition, \
                   7884:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),iyearc,cpt );
1.268     brouard  7885:              fprintf(ficgp,",\\\n '' ");
1.270     brouard  7886:              fprintf(ficgp," u %d:(",iagec); 
1.268     brouard  7887:              /* fprintf(ficgp,"%s && (($5-$6) == %d ) ? $%d/(1.-$%d) : 1/0):5 with labels center not ", gplotcondition, \ */
1.270     brouard  7888:              fprintf(ficgp,"%s && (($%d-$%d) == %d ) ? $%d : 1/0):%d with labels center not ", gplotcondition, \
                   7889:                      iyearc,iagec,offbyear,                            \
                   7890:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), iyearc );
1.268     brouard  7891: /*  '' u 6:(($1==1 && $2==0  && $3==2 && $4==0) && (($5-$6) == 1947) ? $10/(1.-$22) : 1/0):5 with labels center boxed not*/
                   7892:            }else{
                   7893:              /* fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \ */
                   7894:              fprintf(ficgp,"%s ? $%d : 1/0) t 'b%d%d' with line ", gplotcondition, \
                   7895:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), cpt,i );
                   7896:            }
                   7897:          } /* end if covariate */
                   7898:        } /* nlstate */
                   7899:        fprintf(ficgp,"\nset out; unset label;\n");
                   7900:       } /* end cpt state*/
                   7901:     } /* end covariate */
1.296     brouard  7902:   } /* End if prevbcast */
1.268     brouard  7903:   
1.227     brouard  7904:   
1.238     brouard  7905:   /* 9eme writing MLE parameters */
                   7906:   fprintf(ficgp,"\n##############\n#9eme MLE estimated parameters\n#############\n");
1.126     brouard  7907:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  7908:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  7909:     for(k=1; k <=(nlstate+ndeath); k++){
                   7910:       if (k != i) {
1.227     brouard  7911:        fprintf(ficgp,"#   current state %d\n",k);
                   7912:        for(j=1; j <=ncovmodel; j++){
                   7913:          fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
                   7914:          jk++; 
                   7915:        }
                   7916:        fprintf(ficgp,"\n");
1.126     brouard  7917:       }
                   7918:     }
1.223     brouard  7919:   }
1.187     brouard  7920:   fprintf(ficgp,"##############\n#\n");
1.227     brouard  7921:   
1.145     brouard  7922:   /*goto avoid;*/
1.238     brouard  7923:   /* 10eme Graphics of probabilities or incidences using written MLE parameters */
                   7924:   fprintf(ficgp,"\n##############\n#10eme Graphics of probabilities or incidences\n#############\n");
1.187     brouard  7925:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   7926:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   7927:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   7928:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   7929:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   7930:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   7931:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   7932:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   7933:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   7934:   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   7935:   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
                   7936:   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   7937:   fprintf(ficgp,"#\n");
1.223     brouard  7938:   for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
1.238     brouard  7939:     fprintf(ficgp,"#Number of graphics: first is logit, 2nd is probabilities, third is incidences per year\n");
1.237     brouard  7940:     fprintf(ficgp,"#model=%s \n",model);
1.238     brouard  7941:     fprintf(ficgp,"# Type of graphic ng=%d\n",ng);
1.264     brouard  7942:     fprintf(ficgp,"#   k1=1 to 2^%d=%d\n",cptcoveff,m);/* to be checked */
                   7943:     for(k1=1; k1 <=m; k1++)  /* For each combination of covariate */
1.237     brouard  7944:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.264     brouard  7945:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7946:        continue;
1.264     brouard  7947:       fprintf(ficgp,"\n\n# Combination of dummy  k1=%d which is ",k1);
                   7948:       strcpy(gplotlabel,"(");
1.276     brouard  7949:       /*sprintf(gplotlabel+strlen(gplotlabel)," Dummy combination %d ",k1);*/
1.264     brouard  7950:       for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   7951:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7952:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7953:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7954:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7955:        vlv= nbcode[Tvaraff[k]][lv];
                   7956:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   7957:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
                   7958:       }
1.237     brouard  7959:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7960:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7961:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7962:       }        
1.264     brouard  7963:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.237     brouard  7964:       fprintf(ficgp,"\n#\n");
1.264     brouard  7965:       fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),k1,ng,nres);
1.276     brouard  7966:       fprintf(ficgp,"\nset key outside ");
                   7967:       /* fprintf(ficgp,"\nset label \"%s\" at graph 1.2,0.5 center rotate font \"Helvetica,12\"\n",gplotlabel); */
                   7968:       fprintf(ficgp,"\nset title \"%s\" font \"Helvetica,12\"\n",gplotlabel);
1.223     brouard  7969:       fprintf(ficgp,"\nset ter svg size 640, 480 ");
                   7970:       if (ng==1){
                   7971:        fprintf(ficgp,"\nset ylabel \"Value of the logit of the model\"\n"); /* exp(a12+b12*x) could be nice */
                   7972:        fprintf(ficgp,"\nunset log y");
                   7973:       }else if (ng==2){
                   7974:        fprintf(ficgp,"\nset ylabel \"Probability\"\n");
                   7975:        fprintf(ficgp,"\nset log y");
                   7976:       }else if (ng==3){
                   7977:        fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
                   7978:        fprintf(ficgp,"\nset log y");
                   7979:       }else
                   7980:        fprintf(ficgp,"\nunset title ");
                   7981:       fprintf(ficgp,"\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
                   7982:       i=1;
                   7983:       for(k2=1; k2<=nlstate; k2++) {
                   7984:        k3=i;
                   7985:        for(k=1; k<=(nlstate+ndeath); k++) {
                   7986:          if (k != k2){
                   7987:            switch( ng) {
                   7988:            case 1:
                   7989:              if(nagesqr==0)
                   7990:                fprintf(ficgp," p%d+p%d*x",i,i+1);
                   7991:              else /* nagesqr =1 */
                   7992:                fprintf(ficgp," p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   7993:              break;
                   7994:            case 2: /* ng=2 */
                   7995:              if(nagesqr==0)
                   7996:                fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   7997:              else /* nagesqr =1 */
                   7998:                fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   7999:              break;
                   8000:            case 3:
                   8001:              if(nagesqr==0)
                   8002:                fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   8003:              else /* nagesqr =1 */
                   8004:                fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                   8005:              break;
                   8006:            }
                   8007:            ij=1;/* To be checked else nbcode[0][0] wrong */
1.237     brouard  8008:            ijp=1; /* product no age */
                   8009:            /* for(j=3; j <=ncovmodel-nagesqr; j++) { */
                   8010:            for(j=1; j <=cptcovt; j++) { /* For each covariate of the simplified model */
1.223     brouard  8011:              /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
1.268     brouard  8012:              if(cptcovage >0){ /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
                   8013:                if(j==Tage[ij]) { /* Product by age  To be looked at!!*/
                   8014:                  if(ij <=cptcovage) { /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
                   8015:                    if(DummyV[j]==0){
                   8016:                      fprintf(ficgp,"+p%d*%d*x",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]);;
                   8017:                    }else{ /* quantitative */
                   8018:                      fprintf(ficgp,"+p%d*%f*x",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /* Tqinvresult in decoderesult */
                   8019:                      /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
                   8020:                    }
                   8021:                    ij++;
1.237     brouard  8022:                  }
1.268     brouard  8023:                } 
                   8024:              }else if(cptcovprod >0){
                   8025:                if(j==Tprod[ijp]) { /* */ 
                   8026:                  /* printf("Tprod[%d]=%d, j=%d\n", ij, Tprod[ijp], j); */
                   8027:                  if(ijp <=cptcovprod) { /* Product */
                   8028:                    if(DummyV[Tvard[ijp][1]]==0){/* Vn is dummy */
                   8029:                      if(DummyV[Tvard[ijp][2]]==0){/* Vn and Vm are dummy */
                   8030:                        /* 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)]); */
                   8031:                        fprintf(ficgp,"+p%d*%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tinvresult[nres][Tvard[ijp][2]]);
                   8032:                      }else{ /* Vn is dummy and Vm is quanti */
                   8033:                        /* fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,nbcode[Tvard[ijp][1]][codtabm(k1,j)],Tqinvresult[nres][Tvard[ijp][2]]); */
                   8034:                        fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
                   8035:                      }
                   8036:                    }else{ /* Vn*Vm Vn is quanti */
                   8037:                      if(DummyV[Tvard[ijp][2]]==0){
                   8038:                        fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][2]],Tqinvresult[nres][Tvard[ijp][1]]);
                   8039:                      }else{ /* Both quanti */
                   8040:                        fprintf(ficgp,"+p%d*%f*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
                   8041:                      }
1.237     brouard  8042:                    }
1.268     brouard  8043:                    ijp++;
1.237     brouard  8044:                  }
1.268     brouard  8045:                } /* end Tprod */
1.237     brouard  8046:              } else{  /* simple covariate */
1.264     brouard  8047:                /* fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,nbcode[Tvar[j]][codtabm(k1,j)]); /\* Valgrind bug nbcode *\/ */
1.237     brouard  8048:                if(Dummy[j]==0){
                   8049:                  fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]); /*  */
                   8050:                }else{ /* quantitative */
                   8051:                  fprintf(ficgp,"+p%d*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /* */
1.264     brouard  8052:                  /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
1.223     brouard  8053:                }
1.237     brouard  8054:              } /* end simple */
                   8055:            } /* end j */
1.223     brouard  8056:          }else{
                   8057:            i=i-ncovmodel;
                   8058:            if(ng !=1 ) /* For logit formula of log p11 is more difficult to get */
                   8059:              fprintf(ficgp," (1.");
                   8060:          }
1.227     brouard  8061:          
1.223     brouard  8062:          if(ng != 1){
                   8063:            fprintf(ficgp,")/(1");
1.227     brouard  8064:            
1.264     brouard  8065:            for(cpt=1; cpt <=nlstate; cpt++){ 
1.223     brouard  8066:              if(nagesqr==0)
1.264     brouard  8067:                fprintf(ficgp,"+exp(p%d+p%d*x",k3+(cpt-1)*ncovmodel,k3+(cpt-1)*ncovmodel+1);
1.223     brouard  8068:              else /* nagesqr =1 */
1.264     brouard  8069:                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  8070:               
1.223     brouard  8071:              ij=1;
                   8072:              for(j=3; j <=ncovmodel-nagesqr; j++){
1.268     brouard  8073:                 if(cptcovage >0){ 
                   8074:                   if((j-2)==Tage[ij]) { /* Bug valgrind */
                   8075:                     if(ij <=cptcovage) { /* Bug valgrind */
                   8076:                       fprintf(ficgp,"+p%d*%d*x",k3+(cpt-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(k1,j-2)]);
                   8077:                       /* fprintf(ficgp,"+p%d*%d*x",k3+(cpt-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
                   8078:                       ij++;
                   8079:                     }
                   8080:                   }
                   8081:                 }else
                   8082:                   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  8083:              }
                   8084:              fprintf(ficgp,")");
                   8085:            }
                   8086:            fprintf(ficgp,")");
                   8087:            if(ng ==2)
1.276     brouard  8088:              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  8089:            else /* ng= 3 */
1.276     brouard  8090:              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  8091:          }else{ /* end ng <> 1 */
                   8092:            if( k !=k2) /* logit p11 is hard to draw */
1.276     brouard  8093:              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  8094:          }
                   8095:          if ((k+k2)!= (nlstate*2+ndeath) && ng != 1)
                   8096:            fprintf(ficgp,",");
                   8097:          if (ng == 1 && k!=k2 && (k+k2)!= (nlstate*2+ndeath))
                   8098:            fprintf(ficgp,",");
                   8099:          i=i+ncovmodel;
                   8100:        } /* end k */
                   8101:       } /* end k2 */
1.276     brouard  8102:       /* fprintf(ficgp,"\n set out; unset label;set key default;\n"); */
                   8103:       fprintf(ficgp,"\n set out; unset title;set key default;\n");
1.264     brouard  8104:     } /* end k1 */
1.223     brouard  8105:   } /* end ng */
                   8106:   /* avoid: */
                   8107:   fflush(ficgp); 
1.126     brouard  8108: }  /* end gnuplot */
                   8109: 
                   8110: 
                   8111: /*************** Moving average **************/
1.219     brouard  8112: /* int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav, double bageout, double fageout){ */
1.222     brouard  8113:  int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav){
1.218     brouard  8114:    
1.222     brouard  8115:    int i, cpt, cptcod;
                   8116:    int modcovmax =1;
                   8117:    int mobilavrange, mob;
                   8118:    int iage=0;
1.288     brouard  8119:    int firstA1=0, firstA2=0;
1.222     brouard  8120: 
1.266     brouard  8121:    double sum=0., sumr=0.;
1.222     brouard  8122:    double age;
1.266     brouard  8123:    double *sumnewp, *sumnewm, *sumnewmr;
                   8124:    double *agemingood, *agemaxgood; 
                   8125:    double *agemingoodr, *agemaxgoodr; 
1.222     brouard  8126:   
                   8127:   
1.278     brouard  8128:    /* modcovmax=2*cptcoveff;  Max number of modalities. We suppose  */
                   8129:    /*             a covariate has 2 modalities, should be equal to ncovcombmax   */
1.222     brouard  8130: 
                   8131:    sumnewp = vector(1,ncovcombmax);
                   8132:    sumnewm = vector(1,ncovcombmax);
1.266     brouard  8133:    sumnewmr = vector(1,ncovcombmax);
1.222     brouard  8134:    agemingood = vector(1,ncovcombmax); 
1.266     brouard  8135:    agemingoodr = vector(1,ncovcombmax);        
1.222     brouard  8136:    agemaxgood = vector(1,ncovcombmax);
1.266     brouard  8137:    agemaxgoodr = vector(1,ncovcombmax);
1.222     brouard  8138: 
                   8139:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
1.266     brouard  8140:      sumnewm[cptcod]=0.; sumnewmr[cptcod]=0.;
1.222     brouard  8141:      sumnewp[cptcod]=0.;
1.266     brouard  8142:      agemingood[cptcod]=0, agemingoodr[cptcod]=0;
                   8143:      agemaxgood[cptcod]=0, agemaxgoodr[cptcod]=0;
1.222     brouard  8144:    }
                   8145:    if (cptcovn<1) ncovcombmax=1; /* At least 1 pass */
                   8146:   
1.266     brouard  8147:    if(mobilav==-1 || mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   8148:      if(mobilav==1 || mobilav==-1) mobilavrange=5; /* default */
1.222     brouard  8149:      else mobilavrange=mobilav;
                   8150:      for (age=bage; age<=fage; age++)
                   8151:        for (i=1; i<=nlstate;i++)
                   8152:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++)
                   8153:           mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8154:      /* We keep the original values on the extreme ages bage, fage and for 
                   8155:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   8156:        we use a 5 terms etc. until the borders are no more concerned. 
                   8157:      */ 
                   8158:      for (mob=3;mob <=mobilavrange;mob=mob+2){
                   8159:        for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
1.266     brouard  8160:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   8161:           sumnewm[cptcod]=0.;
                   8162:           for (i=1; i<=nlstate;i++){
1.222     brouard  8163:             mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                   8164:             for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   8165:               mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   8166:               mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                   8167:             }
                   8168:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
1.266     brouard  8169:             sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8170:           } /* end i */
                   8171:           if(sumnewm[cptcod] >1.e-3) mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/sumnewm[cptcod]; /* Rescaling to sum one */
                   8172:         } /* end cptcod */
1.222     brouard  8173:        }/* end age */
                   8174:      }/* end mob */
1.266     brouard  8175:    }else{
                   8176:      printf("Error internal in movingaverage, mobilav=%d.\n",mobilav);
1.222     brouard  8177:      return -1;
1.266     brouard  8178:    }
                   8179: 
                   8180:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){ /* for each combination */
1.222     brouard  8181:      /* for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ */
                   8182:      if(invalidvarcomb[cptcod]){
                   8183:        printf("\nCombination (%d) ignored because no cases \n",cptcod); 
                   8184:        continue;
                   8185:      }
1.219     brouard  8186: 
1.266     brouard  8187:      for (age=fage-(mob-1)/2; age>=bage+(mob-1)/2; age--){ /*looking for the youngest and oldest good age */
                   8188:        sumnewm[cptcod]=0.;
                   8189:        sumnewmr[cptcod]=0.;
                   8190:        for (i=1; i<=nlstate;i++){
                   8191:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8192:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8193:        }
                   8194:        if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8195:         agemingoodr[cptcod]=age;
                   8196:        }
                   8197:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8198:           agemingood[cptcod]=age;
                   8199:        }
                   8200:      } /* age */
                   8201:      for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ /*looking for the youngest and oldest good age */
1.222     brouard  8202:        sumnewm[cptcod]=0.;
1.266     brouard  8203:        sumnewmr[cptcod]=0.;
1.222     brouard  8204:        for (i=1; i<=nlstate;i++){
                   8205:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
1.266     brouard  8206:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8207:        }
                   8208:        if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8209:         agemaxgoodr[cptcod]=age;
1.222     brouard  8210:        }
                   8211:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
1.266     brouard  8212:         agemaxgood[cptcod]=age;
                   8213:        }
                   8214:      } /* age */
                   8215:      /* Thus we have agemingood and agemaxgood as well as goodr for raw (preobs) */
                   8216:      /* but they will change */
1.288     brouard  8217:      firstA1=0;firstA2=0;
1.266     brouard  8218:      for (age=fage-(mob-1)/2; age>=bage; age--){/* From oldest to youngest, filling up to the youngest */
                   8219:        sumnewm[cptcod]=0.;
                   8220:        sumnewmr[cptcod]=0.;
                   8221:        for (i=1; i<=nlstate;i++){
                   8222:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8223:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8224:        }
                   8225:        if(mobilav==-1){ /* Forcing raw ages if good else agemingood */
                   8226:         if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8227:           agemaxgoodr[cptcod]=age;  /* age min */
                   8228:           for (i=1; i<=nlstate;i++)
                   8229:             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8230:         }else{ /* bad we change the value with the values of good ages */
                   8231:           for (i=1; i<=nlstate;i++){
                   8232:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgoodr[cptcod]][i][cptcod];
                   8233:           } /* i */
                   8234:         } /* end bad */
                   8235:        }else{
                   8236:         if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8237:           agemaxgood[cptcod]=age;
                   8238:         }else{ /* bad we change the value with the values of good ages */
                   8239:           for (i=1; i<=nlstate;i++){
                   8240:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   8241:           } /* i */
                   8242:         } /* end bad */
                   8243:        }/* end else */
                   8244:        sum=0.;sumr=0.;
                   8245:        for (i=1; i<=nlstate;i++){
                   8246:         sum+=mobaverage[(int)age][i][cptcod];
                   8247:         sumr+=probs[(int)age][i][cptcod];
                   8248:        }
                   8249:        if(fabs(sum - 1.) > 1.e-3) { /* bad */
1.288     brouard  8250:         if(!firstA1){
                   8251:           firstA1=1;
                   8252:           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);
                   8253:         }
                   8254:         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  8255:        } /* end bad */
                   8256:        /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   8257:        if(fabs(sumr - 1.) > 1.e-3) { /* bad */
1.288     brouard  8258:         if(!firstA2){
                   8259:           firstA2=1;
                   8260:           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);
                   8261:         }
                   8262:         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  8263:        } /* end bad */
                   8264:      }/* age */
1.266     brouard  8265: 
                   8266:      for (age=bage+(mob-1)/2; age<=fage; age++){/* From youngest, finding the oldest wrong */
1.222     brouard  8267:        sumnewm[cptcod]=0.;
1.266     brouard  8268:        sumnewmr[cptcod]=0.;
1.222     brouard  8269:        for (i=1; i<=nlstate;i++){
                   8270:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
1.266     brouard  8271:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8272:        } 
                   8273:        if(mobilav==-1){ /* Forcing raw ages if good else agemingood */
                   8274:         if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good */
                   8275:           agemingoodr[cptcod]=age;
                   8276:           for (i=1; i<=nlstate;i++)
                   8277:             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8278:         }else{ /* bad we change the value with the values of good ages */
                   8279:           for (i=1; i<=nlstate;i++){
                   8280:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingoodr[cptcod]][i][cptcod];
                   8281:           } /* i */
                   8282:         } /* end bad */
                   8283:        }else{
                   8284:         if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8285:           agemingood[cptcod]=age;
                   8286:         }else{ /* bad */
                   8287:           for (i=1; i<=nlstate;i++){
                   8288:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   8289:           } /* i */
                   8290:         } /* end bad */
                   8291:        }/* end else */
                   8292:        sum=0.;sumr=0.;
                   8293:        for (i=1; i<=nlstate;i++){
                   8294:         sum+=mobaverage[(int)age][i][cptcod];
                   8295:         sumr+=mobaverage[(int)age][i][cptcod];
1.222     brouard  8296:        }
1.266     brouard  8297:        if(fabs(sum - 1.) > 1.e-3) { /* bad */
1.268     brouard  8298:         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  8299:        } /* end bad */
                   8300:        /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   8301:        if(fabs(sumr - 1.) > 1.e-3) { /* bad */
1.268     brouard  8302:         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  8303:        } /* end bad */
                   8304:      }/* age */
1.266     brouard  8305: 
1.222     brouard  8306:                
                   8307:      for (age=bage; age<=fage; age++){
1.235     brouard  8308:        /* printf("%d %d ", cptcod, (int)age); */
1.222     brouard  8309:        sumnewp[cptcod]=0.;
                   8310:        sumnewm[cptcod]=0.;
                   8311:        for (i=1; i<=nlstate;i++){
                   8312:         sumnewp[cptcod]+=probs[(int)age][i][cptcod];
                   8313:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8314:         /* printf("%.4f %.4f ",probs[(int)age][i][cptcod], mobaverage[(int)age][i][cptcod]); */
                   8315:        }
                   8316:        /* printf("%.4f %.4f \n",sumnewp[cptcod], sumnewm[cptcod]); */
                   8317:      }
                   8318:      /* printf("\n"); */
                   8319:      /* } */
1.266     brouard  8320: 
1.222     brouard  8321:      /* brutal averaging */
1.266     brouard  8322:      /* for (i=1; i<=nlstate;i++){ */
                   8323:      /*   for (age=1; age<=bage; age++){ */
                   8324:      /*         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
                   8325:      /*         /\* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); *\/ */
                   8326:      /*   }     */
                   8327:      /*   for (age=fage; age<=AGESUP; age++){ */
                   8328:      /*         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod]; */
                   8329:      /*         /\* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); *\/ */
                   8330:      /*   } */
                   8331:      /* } /\* end i status *\/ */
                   8332:      /* for (i=nlstate+1; i<=nlstate+ndeath;i++){ */
                   8333:      /*   for (age=1; age<=AGESUP; age++){ */
                   8334:      /*         /\*printf("i=%d, age=%d, cptcod=%d\n",i, (int)age, cptcod);*\/ */
                   8335:      /*         mobaverage[(int)age][i][cptcod]=0.; */
                   8336:      /*   } */
                   8337:      /* } */
1.222     brouard  8338:    }/* end cptcod */
1.266     brouard  8339:    free_vector(agemaxgoodr,1, ncovcombmax);
                   8340:    free_vector(agemaxgood,1, ncovcombmax);
                   8341:    free_vector(agemingood,1, ncovcombmax);
                   8342:    free_vector(agemingoodr,1, ncovcombmax);
                   8343:    free_vector(sumnewmr,1, ncovcombmax);
1.222     brouard  8344:    free_vector(sumnewm,1, ncovcombmax);
                   8345:    free_vector(sumnewp,1, ncovcombmax);
                   8346:    return 0;
                   8347:  }/* End movingaverage */
1.218     brouard  8348:  
1.126     brouard  8349: 
1.296     brouard  8350:  
1.126     brouard  8351: /************** Forecasting ******************/
1.296     brouard  8352: /* 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)*/
                   8353: 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){
                   8354:   /* dateintemean, mean date of interviews
                   8355:      dateprojd, year, month, day of starting projection 
                   8356:      dateprojf date of end of projection;year of end of projection (same day and month as proj1).
1.126     brouard  8357:      agemin, agemax range of age
                   8358:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   8359:   */
1.296     brouard  8360:   /* double anprojd, mprojd, jprojd; */
                   8361:   /* double anprojf, mprojf, jprojf; */
1.267     brouard  8362:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
1.126     brouard  8363:   double agec; /* generic age */
1.296     brouard  8364:   double agelim, ppij, yp,yp1,yp2;
1.126     brouard  8365:   double *popeffectif,*popcount;
                   8366:   double ***p3mat;
1.218     brouard  8367:   /* double ***mobaverage; */
1.126     brouard  8368:   char fileresf[FILENAMELENGTH];
                   8369: 
                   8370:   agelim=AGESUP;
1.211     brouard  8371:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   8372:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   8373:      We still use firstpass and lastpass as another selection.
                   8374:   */
1.214     brouard  8375:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   8376:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
1.126     brouard  8377:  
1.201     brouard  8378:   strcpy(fileresf,"F_"); 
                   8379:   strcat(fileresf,fileresu);
1.126     brouard  8380:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   8381:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   8382:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   8383:   }
1.235     brouard  8384:   printf("\nComputing forecasting: result on file '%s', please wait... \n", fileresf);
                   8385:   fprintf(ficlog,"\nComputing forecasting: result on file '%s', please wait... \n", fileresf);
1.126     brouard  8386: 
1.225     brouard  8387:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
1.126     brouard  8388: 
                   8389: 
                   8390:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8391:   if (stepm<=12) stepsize=1;
                   8392:   if(estepm < stepm){
                   8393:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   8394:   }
1.270     brouard  8395:   else{
                   8396:     hstepm=estepm;   
                   8397:   }
                   8398:   if(estepm > stepm){ /* Yes every two year */
                   8399:     stepsize=2;
                   8400:   }
1.296     brouard  8401:   hstepm=hstepm/stepm;
1.126     brouard  8402: 
1.296     brouard  8403:   
                   8404:   /* yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
                   8405:   /*                              fractional in yp1 *\/ */
                   8406:   /* aintmean=yp; */
                   8407:   /* yp2=modf((yp1*12),&yp); */
                   8408:   /* mintmean=yp; */
                   8409:   /* yp1=modf((yp2*30.5),&yp); */
                   8410:   /* jintmean=yp; */
                   8411:   /* if(jintmean==0) jintmean=1; */
                   8412:   /* if(mintmean==0) mintmean=1; */
1.126     brouard  8413: 
1.296     brouard  8414: 
                   8415:   /* date2dmy(dateintmean,&jintmean,&mintmean,&aintmean); */
                   8416:   /* date2dmy(dateprojd,&jprojd, &mprojd, &anprojd); */
                   8417:   /* date2dmy(dateprojf,&jprojf, &mprojf, &anprojf); */
1.227     brouard  8418:   i1=pow(2,cptcoveff);
1.126     brouard  8419:   if (cptcovn < 1){i1=1;}
                   8420:   
1.296     brouard  8421:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2); 
1.126     brouard  8422:   
                   8423:   fprintf(ficresf,"#****** Routine prevforecast **\n");
1.227     brouard  8424:   
1.126     brouard  8425: /*           if (h==(int)(YEARM*yearp)){ */
1.235     brouard  8426:   for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8427:   for(k=1; k<=i1;k++){
1.253     brouard  8428:     if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  8429:       continue;
1.227     brouard  8430:     if(invalidvarcomb[k]){
                   8431:       printf("\nCombination (%d) projection ignored because no cases \n",k); 
                   8432:       continue;
                   8433:     }
                   8434:     fprintf(ficresf,"\n#****** hpijx=probability over h years, hp.jx is weighted by observed prev \n#");
                   8435:     for(j=1;j<=cptcoveff;j++) {
                   8436:       fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8437:     }
1.235     brouard  8438:     for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.238     brouard  8439:       fprintf(ficresf," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.235     brouard  8440:     }
1.227     brouard  8441:     fprintf(ficresf," yearproj age");
                   8442:     for(j=1; j<=nlstate+ndeath;j++){ 
                   8443:       for(i=1; i<=nlstate;i++)               
                   8444:        fprintf(ficresf," p%d%d",i,j);
                   8445:       fprintf(ficresf," wp.%d",j);
                   8446:     }
1.296     brouard  8447:     for (yearp=0; yearp<=(anprojf-anprojd);yearp +=stepsize) {
1.227     brouard  8448:       fprintf(ficresf,"\n");
1.296     brouard  8449:       fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jprojd,mprojd,anprojd+yearp);   
1.270     brouard  8450:       /* for (agec=fage; agec>=(ageminpar-1); agec--){  */
                   8451:       for (agec=fage; agec>=(bage); agec--){ 
1.227     brouard  8452:        nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   8453:        nhstepm = nhstepm/hstepm; 
                   8454:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8455:        oldm=oldms;savm=savms;
1.268     brouard  8456:        /* We compute pii at age agec over nhstepm);*/
1.235     brouard  8457:        hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k,nres);
1.268     brouard  8458:        /* Then we print p3mat for h corresponding to the right agec+h*stepms=yearp */
1.227     brouard  8459:        for (h=0; h<=nhstepm; h++){
                   8460:          if (h*hstepm/YEARM*stepm ==yearp) {
1.268     brouard  8461:            break;
                   8462:          }
                   8463:        }
                   8464:        fprintf(ficresf,"\n");
                   8465:        for(j=1;j<=cptcoveff;j++) 
                   8466:          fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.296     brouard  8467:        fprintf(ficresf,"%.f %.f ",anprojd+yearp,agec+h*hstepm/YEARM*stepm);
1.268     brouard  8468:        
                   8469:        for(j=1; j<=nlstate+ndeath;j++) {
                   8470:          ppij=0.;
                   8471:          for(i=1; i<=nlstate;i++) {
1.278     brouard  8472:            if (mobilav>=1)
                   8473:             ppij=ppij+p3mat[i][j][h]*prev[(int)agec][i][k];
                   8474:            else { /* even if mobilav==-1 we use mobaverage, probs may not sums to 1 */
                   8475:                ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k];
                   8476:            }
1.268     brouard  8477:            fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   8478:          } /* end i */
                   8479:          fprintf(ficresf," %.3f", ppij);
                   8480:        }/* end j */
1.227     brouard  8481:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8482:       } /* end agec */
1.266     brouard  8483:       /* diffyear=(int) anproj1+yearp-ageminpar-1; */
                   8484:       /*printf("Prevforecast %d+%d-%d=diffyear=%d\n",(int) anproj1, (int)yearp,(int)ageminpar,(int) anproj1-(int)ageminpar);*/
1.227     brouard  8485:     } /* end yearp */
                   8486:   } /* end  k */
1.219     brouard  8487:        
1.126     brouard  8488:   fclose(ficresf);
1.215     brouard  8489:   printf("End of Computing forecasting \n");
                   8490:   fprintf(ficlog,"End of Computing forecasting\n");
                   8491: 
1.126     brouard  8492: }
                   8493: 
1.269     brouard  8494: /************** Back Forecasting ******************/
1.296     brouard  8495:  /* 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){ */
                   8496:  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){
                   8497:   /* back1, year, month, day of starting backprojection
1.267     brouard  8498:      agemin, agemax range of age
                   8499:      dateprev1 dateprev2 range of dates during which prevalence is computed
1.269     brouard  8500:      anback2 year of end of backprojection (same day and month as back1).
                   8501:      prevacurrent and prev are prevalences.
1.267     brouard  8502:   */
                   8503:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
                   8504:   double agec; /* generic age */
1.296     brouard  8505:   double agelim, ppij, ppi, yp,yp1,yp2,jintmean,mintmean,aintmean;
1.267     brouard  8506:   double *popeffectif,*popcount;
                   8507:   double ***p3mat;
                   8508:   /* double ***mobaverage; */
                   8509:   char fileresfb[FILENAMELENGTH];
                   8510:  
1.268     brouard  8511:   agelim=AGEINF;
1.267     brouard  8512:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   8513:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   8514:      We still use firstpass and lastpass as another selection.
                   8515:   */
                   8516:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   8517:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
                   8518: 
                   8519:   /*Do we need to compute prevalence again?*/
                   8520: 
                   8521:   /* prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
                   8522:   
                   8523:   strcpy(fileresfb,"FB_");
                   8524:   strcat(fileresfb,fileresu);
                   8525:   if((ficresfb=fopen(fileresfb,"w"))==NULL) {
                   8526:     printf("Problem with back forecast resultfile: %s\n", fileresfb);
                   8527:     fprintf(ficlog,"Problem with back forecast resultfile: %s\n", fileresfb);
                   8528:   }
                   8529:   printf("\nComputing back forecasting: result on file '%s', please wait... \n", fileresfb);
                   8530:   fprintf(ficlog,"\nComputing back forecasting: result on file '%s', please wait... \n", fileresfb);
                   8531:   
                   8532:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   8533:   
                   8534:    
                   8535:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8536:   if (stepm<=12) stepsize=1;
                   8537:   if(estepm < stepm){
                   8538:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   8539:   }
1.270     brouard  8540:   else{
                   8541:     hstepm=estepm;   
                   8542:   }
                   8543:   if(estepm >= stepm){ /* Yes every two year */
                   8544:     stepsize=2;
                   8545:   }
1.267     brouard  8546:   
                   8547:   hstepm=hstepm/stepm;
1.296     brouard  8548:   /* yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
                   8549:   /*                              fractional in yp1 *\/ */
                   8550:   /* aintmean=yp; */
                   8551:   /* yp2=modf((yp1*12),&yp); */
                   8552:   /* mintmean=yp; */
                   8553:   /* yp1=modf((yp2*30.5),&yp); */
                   8554:   /* jintmean=yp; */
                   8555:   /* if(jintmean==0) jintmean=1; */
                   8556:   /* if(mintmean==0) jintmean=1; */
1.267     brouard  8557:   
                   8558:   i1=pow(2,cptcoveff);
                   8559:   if (cptcovn < 1){i1=1;}
                   8560:   
1.296     brouard  8561:   fprintf(ficresfb,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2);
                   8562:   printf("# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2);
1.267     brouard  8563:   
                   8564:   fprintf(ficresfb,"#****** Routine prevbackforecast **\n");
                   8565:   
                   8566:   for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8567:   for(k=1; k<=i1;k++){
                   8568:     if(i1 != 1 && TKresult[nres]!= k)
                   8569:       continue;
                   8570:     if(invalidvarcomb[k]){
                   8571:       printf("\nCombination (%d) projection ignored because no cases \n",k); 
                   8572:       continue;
                   8573:     }
1.268     brouard  8574:     fprintf(ficresfb,"\n#****** hbijx=probability over h years, hb.jx is weighted by observed prev \n#");
1.267     brouard  8575:     for(j=1;j<=cptcoveff;j++) {
                   8576:       fprintf(ficresfb," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8577:     }
                   8578:     for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   8579:       fprintf(ficresf," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   8580:     }
                   8581:     fprintf(ficresfb," yearbproj age");
                   8582:     for(j=1; j<=nlstate+ndeath;j++){
                   8583:       for(i=1; i<=nlstate;i++)
1.268     brouard  8584:        fprintf(ficresfb," b%d%d",i,j);
                   8585:       fprintf(ficresfb," b.%d",j);
1.267     brouard  8586:     }
1.296     brouard  8587:     for (yearp=0; yearp>=(anbackf-anbackd);yearp -=stepsize) {
1.267     brouard  8588:       /* for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {  */
                   8589:       fprintf(ficresfb,"\n");
1.296     brouard  8590:       fprintf(ficresfb,"\n# Back Forecasting at date %.lf/%.lf/%.lf ",jbackd,mbackd,anbackd+yearp);
1.273     brouard  8591:       /* printf("\n# Back Forecasting at date %.lf/%.lf/%.lf ",jback1,mback1,anback1+yearp); */
1.270     brouard  8592:       /* for (agec=bage; agec<=agemax-1; agec++){  /\* testing *\/ */
                   8593:       for (agec=bage; agec<=fage; agec++){  /* testing */
1.268     brouard  8594:        /* We compute bij at age agec over nhstepm, nhstepm decreases when agec increases because of agemax;*/
1.271     brouard  8595:        nhstepm=(int) (agec-agelim) *YEARM/stepm;/*     nhstepm=(int) rint((agec-agelim)*YEARM/stepm);*/
1.267     brouard  8596:        nhstepm = nhstepm/hstepm;
                   8597:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8598:        oldm=oldms;savm=savms;
1.268     brouard  8599:        /* computes hbxij at age agec over 1 to nhstepm */
1.271     brouard  8600:        /* printf("####prevbackforecast debug  agec=%.2f nhstepm=%d\n",agec, nhstepm);fflush(stdout); */
1.267     brouard  8601:        hbxij(p3mat,nhstepm,agec,hstepm,p,prevacurrent,nlstate,stepm, k, nres);
1.268     brouard  8602:        /* hpxij(p3mat,nhstepm,agec,hstepm,p,             nlstate,stepm,oldm,savm, k,nres); */
                   8603:        /* Then we print p3mat for h corresponding to the right agec+h*stepms=yearp */
                   8604:        /* printf(" agec=%.2f\n",agec);fflush(stdout); */
1.267     brouard  8605:        for (h=0; h<=nhstepm; h++){
1.268     brouard  8606:          if (h*hstepm/YEARM*stepm ==-yearp) {
                   8607:            break;
                   8608:          }
                   8609:        }
                   8610:        fprintf(ficresfb,"\n");
                   8611:        for(j=1;j<=cptcoveff;j++)
                   8612:          fprintf(ficresfb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.296     brouard  8613:        fprintf(ficresfb,"%.f %.f ",anbackd+yearp,agec-h*hstepm/YEARM*stepm);
1.268     brouard  8614:        for(i=1; i<=nlstate+ndeath;i++) {
                   8615:          ppij=0.;ppi=0.;
                   8616:          for(j=1; j<=nlstate;j++) {
                   8617:            /* if (mobilav==1) */
1.269     brouard  8618:            ppij=ppij+p3mat[i][j][h]*prevacurrent[(int)agec][j][k];
                   8619:            ppi=ppi+prevacurrent[(int)agec][j][k];
                   8620:            /* ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][j][k]; */
                   8621:            /* ppi=ppi+mobaverage[(int)agec][j][k]; */
1.267     brouard  8622:              /* else { */
                   8623:              /*        ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k]; */
                   8624:              /* } */
1.268     brouard  8625:            fprintf(ficresfb," %.3f", p3mat[i][j][h]);
                   8626:          } /* end j */
                   8627:          if(ppi <0.99){
                   8628:            printf("Error in prevbackforecast, prevalence doesn't sum to 1 for state %d: %3f\n",i, ppi);
                   8629:            fprintf(ficlog,"Error in prevbackforecast, prevalence doesn't sum to 1 for state %d: %3f\n",i, ppi);
                   8630:          }
                   8631:          fprintf(ficresfb," %.3f", ppij);
                   8632:        }/* end j */
1.267     brouard  8633:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8634:       } /* end agec */
                   8635:     } /* end yearp */
                   8636:   } /* end k */
1.217     brouard  8637:   
1.267     brouard  8638:   /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
1.217     brouard  8639:   
1.267     brouard  8640:   fclose(ficresfb);
                   8641:   printf("End of Computing Back forecasting \n");
                   8642:   fprintf(ficlog,"End of Computing Back forecasting\n");
1.218     brouard  8643:        
1.267     brouard  8644: }
1.217     brouard  8645: 
1.269     brouard  8646: /* Variance of prevalence limit: varprlim */
                   8647:  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  8648:     /*------- Variance of forward period (stable) prevalence------*/   
1.269     brouard  8649:  
                   8650:    char fileresvpl[FILENAMELENGTH];  
                   8651:    FILE *ficresvpl;
                   8652:    double **oldm, **savm;
                   8653:    double **varpl; /* Variances of prevalence limits by age */   
                   8654:    int i1, k, nres, j ;
                   8655:    
                   8656:     strcpy(fileresvpl,"VPL_");
                   8657:     strcat(fileresvpl,fileresu);
                   8658:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
1.288     brouard  8659:       printf("Problem with variance of forward period (stable) prevalence  resultfile: %s\n", fileresvpl);
1.269     brouard  8660:       exit(0);
                   8661:     }
1.288     brouard  8662:     printf("Computing Variance-covariance of forward period (stable) prevalence: file '%s' ...", fileresvpl);fflush(stdout);
                   8663:     fprintf(ficlog, "Computing Variance-covariance of forward period (stable) prevalence: file '%s' ...", fileresvpl);fflush(ficlog);
1.269     brouard  8664:     
                   8665:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   8666:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   8667:     
                   8668:     i1=pow(2,cptcoveff);
                   8669:     if (cptcovn < 1){i1=1;}
                   8670: 
                   8671:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8672:     for(k=1; k<=i1;k++){
                   8673:       if(i1 != 1 && TKresult[nres]!= k)
                   8674:        continue;
                   8675:       fprintf(ficresvpl,"\n#****** ");
                   8676:       printf("\n#****** ");
                   8677:       fprintf(ficlog,"\n#****** ");
                   8678:       for(j=1;j<=cptcoveff;j++) {
                   8679:        fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8680:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8681:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8682:       }
                   8683:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   8684:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8685:        fprintf(ficresvpl," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8686:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8687:       }        
                   8688:       fprintf(ficresvpl,"******\n");
                   8689:       printf("******\n");
                   8690:       fprintf(ficlog,"******\n");
                   8691:       
                   8692:       varpl=matrix(1,nlstate,(int) bage, (int) fage);
                   8693:       oldm=oldms;savm=savms;
                   8694:       varprevlim(fileresvpl, ficresvpl, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, ncvyearp, k, strstart, nres);
                   8695:       free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
                   8696:       /*}*/
                   8697:     }
                   8698:     
                   8699:     fclose(ficresvpl);
1.288     brouard  8700:     printf("done variance-covariance of forward period prevalence\n");fflush(stdout);
                   8701:     fprintf(ficlog,"done variance-covariance of forward period prevalence\n");fflush(ficlog);
1.269     brouard  8702: 
                   8703:  }
                   8704: /* Variance of back prevalence: varbprlim */
                   8705:  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){
                   8706:       /*------- Variance of back (stable) prevalence------*/
                   8707: 
                   8708:    char fileresvbl[FILENAMELENGTH];  
                   8709:    FILE  *ficresvbl;
                   8710: 
                   8711:    double **oldm, **savm;
                   8712:    double **varbpl; /* Variances of back prevalence limits by age */   
                   8713:    int i1, k, nres, j ;
                   8714: 
                   8715:    strcpy(fileresvbl,"VBL_");
                   8716:    strcat(fileresvbl,fileresu);
                   8717:    if((ficresvbl=fopen(fileresvbl,"w"))==NULL) {
                   8718:      printf("Problem with variance of back (stable) prevalence  resultfile: %s\n", fileresvbl);
                   8719:      exit(0);
                   8720:    }
                   8721:    printf("Computing Variance-covariance of back (stable) prevalence: file '%s' ...", fileresvbl);fflush(stdout);
                   8722:    fprintf(ficlog, "Computing Variance-covariance of back (stable) prevalence: file '%s' ...", fileresvbl);fflush(ficlog);
                   8723:    
                   8724:    
                   8725:    i1=pow(2,cptcoveff);
                   8726:    if (cptcovn < 1){i1=1;}
                   8727:    
                   8728:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8729:      for(k=1; k<=i1;k++){
                   8730:        if(i1 != 1 && TKresult[nres]!= k)
                   8731:         continue;
                   8732:        fprintf(ficresvbl,"\n#****** ");
                   8733:        printf("\n#****** ");
                   8734:        fprintf(ficlog,"\n#****** ");
                   8735:        for(j=1;j<=cptcoveff;j++) {
                   8736:         fprintf(ficresvbl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8737:         fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8738:         printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8739:        }
                   8740:        for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   8741:         printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8742:         fprintf(ficresvbl," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8743:         fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8744:        }
                   8745:        fprintf(ficresvbl,"******\n");
                   8746:        printf("******\n");
                   8747:        fprintf(ficlog,"******\n");
                   8748:        
                   8749:        varbpl=matrix(1,nlstate,(int) bage, (int) fage);
                   8750:        oldm=oldms;savm=savms;
                   8751:        
                   8752:        varbrevlim(fileresvbl, ficresvbl, varbpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, bprlim, ftolpl, mobilavproj, ncvyearp, k, strstart, nres);
                   8753:        free_matrix(varbpl,1,nlstate,(int) bage, (int)fage);
                   8754:        /*}*/
                   8755:      }
                   8756:    
                   8757:    fclose(ficresvbl);
                   8758:    printf("done variance-covariance of back prevalence\n");fflush(stdout);
                   8759:    fprintf(ficlog,"done variance-covariance of back prevalence\n");fflush(ficlog);
                   8760: 
                   8761:  } /* End of varbprlim */
                   8762: 
1.126     brouard  8763: /************** Forecasting *****not tested NB*************/
1.227     brouard  8764: /* 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  8765:   
1.227     brouard  8766: /*   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h; */
                   8767: /*   int *popage; */
                   8768: /*   double calagedatem, agelim, kk1, kk2; */
                   8769: /*   double *popeffectif,*popcount; */
                   8770: /*   double ***p3mat,***tabpop,***tabpopprev; */
                   8771: /*   /\* double ***mobaverage; *\/ */
                   8772: /*   char filerespop[FILENAMELENGTH]; */
1.126     brouard  8773: 
1.227     brouard  8774: /*   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8775: /*   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8776: /*   agelim=AGESUP; */
                   8777: /*   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM; */
1.126     brouard  8778:   
1.227     brouard  8779: /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
1.126     brouard  8780:   
                   8781:   
1.227     brouard  8782: /*   strcpy(filerespop,"POP_");  */
                   8783: /*   strcat(filerespop,fileresu); */
                   8784: /*   if((ficrespop=fopen(filerespop,"w"))==NULL) { */
                   8785: /*     printf("Problem with forecast resultfile: %s\n", filerespop); */
                   8786: /*     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop); */
                   8787: /*   } */
                   8788: /*   printf("Computing forecasting: result on file '%s' \n", filerespop); */
                   8789: /*   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop); */
1.126     brouard  8790: 
1.227     brouard  8791: /*   if (cptcoveff==0) ncodemax[cptcoveff]=1; */
1.126     brouard  8792: 
1.227     brouard  8793: /*   /\* if (mobilav!=0) { *\/ */
                   8794: /*   /\*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   8795: /*   /\*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ *\/ */
                   8796: /*   /\*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   8797: /*   /\*     printf(" Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   8798: /*   /\*   } *\/ */
                   8799: /*   /\* } *\/ */
1.126     brouard  8800: 
1.227     brouard  8801: /*   stepsize=(int) (stepm+YEARM-1)/YEARM; */
                   8802: /*   if (stepm<=12) stepsize=1; */
1.126     brouard  8803:   
1.227     brouard  8804: /*   agelim=AGESUP; */
1.126     brouard  8805:   
1.227     brouard  8806: /*   hstepm=1; */
                   8807: /*   hstepm=hstepm/stepm;  */
1.218     brouard  8808:        
1.227     brouard  8809: /*   if (popforecast==1) { */
                   8810: /*     if((ficpop=fopen(popfile,"r"))==NULL) { */
                   8811: /*       printf("Problem with population file : %s\n",popfile);exit(0); */
                   8812: /*       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0); */
                   8813: /*     }  */
                   8814: /*     popage=ivector(0,AGESUP); */
                   8815: /*     popeffectif=vector(0,AGESUP); */
                   8816: /*     popcount=vector(0,AGESUP); */
1.126     brouard  8817:     
1.227     brouard  8818: /*     i=1;    */
                   8819: /*     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1; */
1.218     brouard  8820:     
1.227     brouard  8821: /*     imx=i; */
                   8822: /*     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i]; */
                   8823: /*   } */
1.218     brouard  8824:   
1.227     brouard  8825: /*   for(cptcov=1,k=0;cptcov<=i2;cptcov++){ */
                   8826: /*     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ */
                   8827: /*       k=k+1; */
                   8828: /*       fprintf(ficrespop,"\n#******"); */
                   8829: /*       for(j=1;j<=cptcoveff;j++) { */
                   8830: /*     fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   8831: /*       } */
                   8832: /*       fprintf(ficrespop,"******\n"); */
                   8833: /*       fprintf(ficrespop,"# Age"); */
                   8834: /*       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j); */
                   8835: /*       if (popforecast==1)  fprintf(ficrespop," [Population]"); */
1.126     brouard  8836:       
1.227     brouard  8837: /*       for (cpt=0; cpt<=0;cpt++) {  */
                   8838: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
1.126     brouard  8839:        
1.227     brouard  8840: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   8841: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   8842: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  8843:          
1.227     brouard  8844: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8845: /*       oldm=oldms;savm=savms; */
                   8846: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
1.218     brouard  8847:          
1.227     brouard  8848: /*       for (h=0; h<=nhstepm; h++){ */
                   8849: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   8850: /*           fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   8851: /*         }  */
                   8852: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   8853: /*           kk1=0.;kk2=0; */
                   8854: /*           for(i=1; i<=nlstate;i++) {               */
                   8855: /*             if (mobilav==1)  */
                   8856: /*               kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod]; */
                   8857: /*             else { */
                   8858: /*               kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod]; */
                   8859: /*             } */
                   8860: /*           } */
                   8861: /*           if (h==(int)(calagedatem+12*cpt)){ */
                   8862: /*             tabpop[(int)(agedeb)][j][cptcod]=kk1; */
                   8863: /*             /\*fprintf(ficrespop," %.3f", kk1); */
                   8864: /*               if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*\/ */
                   8865: /*           } */
                   8866: /*         } */
                   8867: /*         for(i=1; i<=nlstate;i++){ */
                   8868: /*           kk1=0.; */
                   8869: /*           for(j=1; j<=nlstate;j++){ */
                   8870: /*             kk1= kk1+tabpop[(int)(agedeb)][j][cptcod];  */
                   8871: /*           } */
                   8872: /*           tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)]; */
                   8873: /*         } */
1.218     brouard  8874:            
1.227     brouard  8875: /*         if (h==(int)(calagedatem+12*cpt)) */
                   8876: /*           for(j=1; j<=nlstate;j++)  */
                   8877: /*             fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]); */
                   8878: /*       } */
                   8879: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8880: /*     } */
                   8881: /*       } */
1.218     brouard  8882:       
1.227     brouard  8883: /*       /\******\/ */
1.218     brouard  8884:       
1.227     brouard  8885: /*       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) {  */
                   8886: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
                   8887: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   8888: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   8889: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  8890:          
1.227     brouard  8891: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8892: /*       oldm=oldms;savm=savms; */
                   8893: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
                   8894: /*       for (h=0; h<=nhstepm; h++){ */
                   8895: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   8896: /*           fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   8897: /*         }  */
                   8898: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   8899: /*           kk1=0.;kk2=0; */
                   8900: /*           for(i=1; i<=nlstate;i++) {               */
                   8901: /*             kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];     */
                   8902: /*           } */
                   8903: /*           if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);         */
                   8904: /*         } */
                   8905: /*       } */
                   8906: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8907: /*     } */
                   8908: /*       } */
                   8909: /*     }  */
                   8910: /*   } */
1.218     brouard  8911:   
1.227     brouard  8912: /*   /\* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
1.218     brouard  8913:   
1.227     brouard  8914: /*   if (popforecast==1) { */
                   8915: /*     free_ivector(popage,0,AGESUP); */
                   8916: /*     free_vector(popeffectif,0,AGESUP); */
                   8917: /*     free_vector(popcount,0,AGESUP); */
                   8918: /*   } */
                   8919: /*   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8920: /*   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8921: /*   fclose(ficrespop); */
                   8922: /* } /\* End of popforecast *\/ */
1.218     brouard  8923:  
1.126     brouard  8924: int fileappend(FILE *fichier, char *optionfich)
                   8925: {
                   8926:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   8927:     printf("Problem with file: %s\n", optionfich);
                   8928:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   8929:     return (0);
                   8930:   }
                   8931:   fflush(fichier);
                   8932:   return (1);
                   8933: }
                   8934: 
                   8935: 
                   8936: /**************** function prwizard **********************/
                   8937: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   8938: {
                   8939: 
                   8940:   /* Wizard to print covariance matrix template */
                   8941: 
1.164     brouard  8942:   char ca[32], cb[32];
                   8943:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  8944:   int numlinepar;
                   8945: 
                   8946:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   8947:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   8948:   for(i=1; i <=nlstate; i++){
                   8949:     jj=0;
                   8950:     for(j=1; j <=nlstate+ndeath; j++){
                   8951:       if(j==i) continue;
                   8952:       jj++;
                   8953:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   8954:       printf("%1d%1d",i,j);
                   8955:       fprintf(ficparo,"%1d%1d",i,j);
                   8956:       for(k=1; k<=ncovmodel;k++){
                   8957:        /*        printf(" %lf",param[i][j][k]); */
                   8958:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   8959:        printf(" 0.");
                   8960:        fprintf(ficparo," 0.");
                   8961:       }
                   8962:       printf("\n");
                   8963:       fprintf(ficparo,"\n");
                   8964:     }
                   8965:   }
                   8966:   printf("# Scales (for hessian or gradient estimation)\n");
                   8967:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   8968:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   8969:   for(i=1; i <=nlstate; i++){
                   8970:     jj=0;
                   8971:     for(j=1; j <=nlstate+ndeath; j++){
                   8972:       if(j==i) continue;
                   8973:       jj++;
                   8974:       fprintf(ficparo,"%1d%1d",i,j);
                   8975:       printf("%1d%1d",i,j);
                   8976:       fflush(stdout);
                   8977:       for(k=1; k<=ncovmodel;k++){
                   8978:        /*      printf(" %le",delti3[i][j][k]); */
                   8979:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   8980:        printf(" 0.");
                   8981:        fprintf(ficparo," 0.");
                   8982:       }
                   8983:       numlinepar++;
                   8984:       printf("\n");
                   8985:       fprintf(ficparo,"\n");
                   8986:     }
                   8987:   }
                   8988:   printf("# Covariance matrix\n");
                   8989: /* # 121 Var(a12)\n\ */
                   8990: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   8991: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   8992: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   8993: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   8994: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   8995: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   8996: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   8997:   fflush(stdout);
                   8998:   fprintf(ficparo,"# Covariance matrix\n");
                   8999:   /* # 121 Var(a12)\n\ */
                   9000:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   9001:   /* #   ...\n\ */
                   9002:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   9003:   
                   9004:   for(itimes=1;itimes<=2;itimes++){
                   9005:     jj=0;
                   9006:     for(i=1; i <=nlstate; i++){
                   9007:       for(j=1; j <=nlstate+ndeath; j++){
                   9008:        if(j==i) continue;
                   9009:        for(k=1; k<=ncovmodel;k++){
                   9010:          jj++;
                   9011:          ca[0]= k+'a'-1;ca[1]='\0';
                   9012:          if(itimes==1){
                   9013:            printf("#%1d%1d%d",i,j,k);
                   9014:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   9015:          }else{
                   9016:            printf("%1d%1d%d",i,j,k);
                   9017:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   9018:            /*  printf(" %.5le",matcov[i][j]); */
                   9019:          }
                   9020:          ll=0;
                   9021:          for(li=1;li <=nlstate; li++){
                   9022:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   9023:              if(lj==li) continue;
                   9024:              for(lk=1;lk<=ncovmodel;lk++){
                   9025:                ll++;
                   9026:                if(ll<=jj){
                   9027:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   9028:                  if(ll<jj){
                   9029:                    if(itimes==1){
                   9030:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   9031:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   9032:                    }else{
                   9033:                      printf(" 0.");
                   9034:                      fprintf(ficparo," 0.");
                   9035:                    }
                   9036:                  }else{
                   9037:                    if(itimes==1){
                   9038:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   9039:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   9040:                    }else{
                   9041:                      printf(" 0.");
                   9042:                      fprintf(ficparo," 0.");
                   9043:                    }
                   9044:                  }
                   9045:                }
                   9046:              } /* end lk */
                   9047:            } /* end lj */
                   9048:          } /* end li */
                   9049:          printf("\n");
                   9050:          fprintf(ficparo,"\n");
                   9051:          numlinepar++;
                   9052:        } /* end k*/
                   9053:       } /*end j */
                   9054:     } /* end i */
                   9055:   } /* end itimes */
                   9056: 
                   9057: } /* end of prwizard */
                   9058: /******************* Gompertz Likelihood ******************************/
                   9059: double gompertz(double x[])
                   9060: { 
                   9061:   double A,B,L=0.0,sump=0.,num=0.;
                   9062:   int i,n=0; /* n is the size of the sample */
                   9063: 
1.220     brouard  9064:   for (i=1;i<=imx ; i++) {
1.126     brouard  9065:     sump=sump+weight[i];
                   9066:     /*    sump=sump+1;*/
                   9067:     num=num+1;
                   9068:   }
                   9069:  
                   9070:  
                   9071:   /* for (i=0; i<=imx; i++) 
                   9072:      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]);*/
                   9073: 
                   9074:   for (i=1;i<=imx ; i++)
                   9075:     {
                   9076:       if (cens[i] == 1 && wav[i]>1)
                   9077:        A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   9078:       
                   9079:       if (cens[i] == 0 && wav[i]>1)
                   9080:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                   9081:             +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
                   9082:       
                   9083:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   9084:       if (wav[i] > 1 ) { /* ??? */
                   9085:        L=L+A*weight[i];
                   9086:        /*      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]);*/
                   9087:       }
                   9088:     }
                   9089: 
                   9090:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   9091:  
                   9092:   return -2*L*num/sump;
                   9093: }
                   9094: 
1.136     brouard  9095: #ifdef GSL
                   9096: /******************* Gompertz_f Likelihood ******************************/
                   9097: double gompertz_f(const gsl_vector *v, void *params)
                   9098: { 
                   9099:   double A,B,LL=0.0,sump=0.,num=0.;
                   9100:   double *x= (double *) v->data;
                   9101:   int i,n=0; /* n is the size of the sample */
                   9102: 
                   9103:   for (i=0;i<=imx-1 ; i++) {
                   9104:     sump=sump+weight[i];
                   9105:     /*    sump=sump+1;*/
                   9106:     num=num+1;
                   9107:   }
                   9108:  
                   9109:  
                   9110:   /* for (i=0; i<=imx; i++) 
                   9111:      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]);*/
                   9112:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   9113:   for (i=1;i<=imx ; i++)
                   9114:     {
                   9115:       if (cens[i] == 1 && wav[i]>1)
                   9116:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   9117:       
                   9118:       if (cens[i] == 0 && wav[i]>1)
                   9119:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   9120:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   9121:       
                   9122:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   9123:       if (wav[i] > 1 ) { /* ??? */
                   9124:        LL=LL+A*weight[i];
                   9125:        /*      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]);*/
                   9126:       }
                   9127:     }
                   9128: 
                   9129:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   9130:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   9131:  
                   9132:   return -2*LL*num/sump;
                   9133: }
                   9134: #endif
                   9135: 
1.126     brouard  9136: /******************* Printing html file ***********/
1.201     brouard  9137: void printinghtmlmort(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  9138:                  int lastpass, int stepm, int weightopt, char model[],\
                   9139:                  int imx,  double p[],double **matcov,double agemortsup){
                   9140:   int i,k;
                   9141: 
                   9142:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   9143:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   9144:   for (i=1;i<=2;i++) 
                   9145:     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  9146:   fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
1.126     brouard  9147:   fprintf(fichtm,"</ul>");
                   9148: 
                   9149: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   9150: 
                   9151:  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>");
                   9152: 
                   9153:  for (k=agegomp;k<(agemortsup-2);k++) 
                   9154:    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]);
                   9155: 
                   9156:  
                   9157:   fflush(fichtm);
                   9158: }
                   9159: 
                   9160: /******************* Gnuplot file **************/
1.201     brouard  9161: void printinggnuplotmort(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
1.126     brouard  9162: 
                   9163:   char dirfileres[132],optfileres[132];
1.164     brouard  9164: 
1.126     brouard  9165:   int ng;
                   9166: 
                   9167: 
                   9168:   /*#ifdef windows */
                   9169:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   9170:     /*#endif */
                   9171: 
                   9172: 
                   9173:   strcpy(dirfileres,optionfilefiname);
                   9174:   strcpy(optfileres,"vpl");
1.199     brouard  9175:   fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
1.126     brouard  9176:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.199     brouard  9177:   fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
1.145     brouard  9178:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  9179:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   9180: 
                   9181: } 
                   9182: 
1.136     brouard  9183: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   9184: {
1.126     brouard  9185: 
1.136     brouard  9186:   /*-------- data file ----------*/
                   9187:   FILE *fic;
                   9188:   char dummy[]="                         ";
1.240     brouard  9189:   int i=0, j=0, n=0, iv=0, v;
1.223     brouard  9190:   int lstra;
1.136     brouard  9191:   int linei, month, year,iout;
                   9192:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  9193:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  9194:   char *stratrunc;
1.223     brouard  9195: 
1.240     brouard  9196:   DummyV=ivector(1,NCOVMAX); /* 1 to 3 */
                   9197:   FixedV=ivector(1,NCOVMAX); /* 1 to 3 */
1.126     brouard  9198: 
1.240     brouard  9199:   for(v=1; v <=ncovcol;v++){
                   9200:     DummyV[v]=0;
                   9201:     FixedV[v]=0;
                   9202:   }
                   9203:   for(v=ncovcol+1; v <=ncovcol+nqv;v++){
                   9204:     DummyV[v]=1;
                   9205:     FixedV[v]=0;
                   9206:   }
                   9207:   for(v=ncovcol+nqv+1; v <=ncovcol+nqv+ntv;v++){
                   9208:     DummyV[v]=0;
                   9209:     FixedV[v]=1;
                   9210:   }
                   9211:   for(v=ncovcol+nqv+ntv+1; v <=ncovcol+nqv+ntv+nqtv;v++){
                   9212:     DummyV[v]=1;
                   9213:     FixedV[v]=1;
                   9214:   }
                   9215:   for(v=1; v <=ncovcol+nqv+ntv+nqtv;v++){
                   9216:     printf("Covariate type in the data: V%d, DummyV(V%d)=%d, FixedV(V%d)=%d\n",v,v,DummyV[v],v,FixedV[v]);
                   9217:     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]);
                   9218:   }
1.126     brouard  9219: 
1.136     brouard  9220:   if((fic=fopen(datafile,"r"))==NULL)    {
1.218     brouard  9221:     printf("Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(stdout);
                   9222:     fprintf(ficlog,"Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(ficlog);return 1;
1.136     brouard  9223:   }
1.126     brouard  9224: 
1.136     brouard  9225:   i=1;
                   9226:   linei=0;
                   9227:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   9228:     linei=linei+1;
                   9229:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   9230:       if(line[j] == '\t')
                   9231:        line[j] = ' ';
                   9232:     }
                   9233:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   9234:       ;
                   9235:     };
                   9236:     line[j+1]=0;  /* Trims blanks at end of line */
                   9237:     if(line[0]=='#'){
                   9238:       fprintf(ficlog,"Comment line\n%s\n",line);
                   9239:       printf("Comment line\n%s\n",line);
                   9240:       continue;
                   9241:     }
                   9242:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  9243:     strcpy(line, linetmp);
1.223     brouard  9244:     
                   9245:     /* Loops on waves */
                   9246:     for (j=maxwav;j>=1;j--){
                   9247:       for (iv=nqtv;iv>=1;iv--){  /* Loop  on time varying quantitative variables */
1.238     brouard  9248:        cutv(stra, strb, line, ' '); 
                   9249:        if(strb[0]=='.') { /* Missing value */
                   9250:          lval=-1;
                   9251:          cotqvar[j][iv][i]=-1; /* 0.0/0.0 */
                   9252:          cotvar[j][ntv+iv][i]=-1; /* For performance reasons */
                   9253:          if(isalpha(strb[1])) { /* .m or .d Really Missing value */
                   9254:            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);
                   9255:            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);
                   9256:            return 1;
                   9257:          }
                   9258:        }else{
                   9259:          errno=0;
                   9260:          /* what_kind_of_number(strb); */
                   9261:          dval=strtod(strb,&endptr); 
                   9262:          /* if( strb[0]=='\0' || (*endptr != '\0')){ */
                   9263:          /* if(strb != endptr && *endptr == '\0') */
                   9264:          /*    dval=dlval; */
                   9265:          /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   9266:          if( strb[0]=='\0' || (*endptr != '\0')){
                   9267:            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);
                   9268:            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);
                   9269:            return 1;
                   9270:          }
                   9271:          cotqvar[j][iv][i]=dval; 
                   9272:          cotvar[j][ntv+iv][i]=dval; 
                   9273:        }
                   9274:        strcpy(line,stra);
1.223     brouard  9275:       }/* end loop ntqv */
1.225     brouard  9276:       
1.223     brouard  9277:       for (iv=ntv;iv>=1;iv--){  /* Loop  on time varying dummies */
1.238     brouard  9278:        cutv(stra, strb, line, ' '); 
                   9279:        if(strb[0]=='.') { /* Missing value */
                   9280:          lval=-1;
                   9281:        }else{
                   9282:          errno=0;
                   9283:          lval=strtol(strb,&endptr,10); 
                   9284:          /*    if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   9285:          if( strb[0]=='\0' || (*endptr != '\0')){
                   9286:            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);
                   9287:            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);
                   9288:            return 1;
                   9289:          }
                   9290:        }
                   9291:        if(lval <-1 || lval >1){
                   9292:          printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  9293:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9294:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.238     brouard  9295:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9296:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9297:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  9298:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.238     brouard  9299:  output of IMaCh is often meaningless.\n                               \
1.223     brouard  9300:  Exiting.\n",lval,linei, i,line,j);
1.238     brouard  9301:          fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  9302:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9303:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.238     brouard  9304:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9305:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9306:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  9307:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.238     brouard  9308:  output of IMaCh is often meaningless.\n                               \
1.223     brouard  9309:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.238     brouard  9310:          return 1;
                   9311:        }
                   9312:        cotvar[j][iv][i]=(double)(lval);
                   9313:        strcpy(line,stra);
1.223     brouard  9314:       }/* end loop ntv */
1.225     brouard  9315:       
1.223     brouard  9316:       /* Statuses  at wave */
1.137     brouard  9317:       cutv(stra, strb, line, ' '); 
1.223     brouard  9318:       if(strb[0]=='.') { /* Missing value */
1.238     brouard  9319:        lval=-1;
1.136     brouard  9320:       }else{
1.238     brouard  9321:        errno=0;
                   9322:        lval=strtol(strb,&endptr,10); 
                   9323:        /*      if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   9324:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9325:          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);
                   9326:          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);
                   9327:          return 1;
                   9328:        }
1.136     brouard  9329:       }
1.225     brouard  9330:       
1.136     brouard  9331:       s[j][i]=lval;
1.225     brouard  9332:       
1.223     brouard  9333:       /* Date of Interview */
1.136     brouard  9334:       strcpy(line,stra);
                   9335:       cutv(stra, strb,line,' ');
1.169     brouard  9336:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9337:       }
1.169     brouard  9338:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.225     brouard  9339:        month=99;
                   9340:        year=9999;
1.136     brouard  9341:       }else{
1.225     brouard  9342:        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);
                   9343:        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);
                   9344:        return 1;
1.136     brouard  9345:       }
                   9346:       anint[j][i]= (double) year; 
                   9347:       mint[j][i]= (double)month; 
                   9348:       strcpy(line,stra);
1.223     brouard  9349:     } /* End loop on waves */
1.225     brouard  9350:     
1.223     brouard  9351:     /* Date of death */
1.136     brouard  9352:     cutv(stra, strb,line,' '); 
1.169     brouard  9353:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9354:     }
1.169     brouard  9355:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  9356:       month=99;
                   9357:       year=9999;
                   9358:     }else{
1.141     brouard  9359:       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  9360:       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);
                   9361:       return 1;
1.136     brouard  9362:     }
                   9363:     andc[i]=(double) year; 
                   9364:     moisdc[i]=(double) month; 
                   9365:     strcpy(line,stra);
                   9366:     
1.223     brouard  9367:     /* Date of birth */
1.136     brouard  9368:     cutv(stra, strb,line,' '); 
1.169     brouard  9369:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9370:     }
1.169     brouard  9371:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  9372:       month=99;
                   9373:       year=9999;
                   9374:     }else{
1.141     brouard  9375:       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);
                   9376:       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  9377:       return 1;
1.136     brouard  9378:     }
                   9379:     if (year==9999) {
1.141     brouard  9380:       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);
                   9381:       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  9382:       return 1;
                   9383:       
1.136     brouard  9384:     }
                   9385:     annais[i]=(double)(year);
                   9386:     moisnais[i]=(double)(month); 
                   9387:     strcpy(line,stra);
1.225     brouard  9388:     
1.223     brouard  9389:     /* Sample weight */
1.136     brouard  9390:     cutv(stra, strb,line,' '); 
                   9391:     errno=0;
                   9392:     dval=strtod(strb,&endptr); 
                   9393:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  9394:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   9395:       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  9396:       fflush(ficlog);
                   9397:       return 1;
                   9398:     }
                   9399:     weight[i]=dval; 
                   9400:     strcpy(line,stra);
1.225     brouard  9401:     
1.223     brouard  9402:     for (iv=nqv;iv>=1;iv--){  /* Loop  on fixed quantitative variables */
                   9403:       cutv(stra, strb, line, ' '); 
                   9404:       if(strb[0]=='.') { /* Missing value */
1.225     brouard  9405:        lval=-1;
1.223     brouard  9406:       }else{
1.225     brouard  9407:        errno=0;
                   9408:        /* what_kind_of_number(strb); */
                   9409:        dval=strtod(strb,&endptr);
                   9410:        /* if(strb != endptr && *endptr == '\0') */
                   9411:        /*   dval=dlval; */
                   9412:        /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   9413:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9414:          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);
                   9415:          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);
                   9416:          return 1;
                   9417:        }
                   9418:        coqvar[iv][i]=dval; 
1.226     brouard  9419:        covar[ncovcol+iv][i]=dval; /* including qvar in standard covar for performance reasons */ 
1.223     brouard  9420:       }
                   9421:       strcpy(line,stra);
                   9422:     }/* end loop nqv */
1.136     brouard  9423:     
1.223     brouard  9424:     /* Covariate values */
1.136     brouard  9425:     for (j=ncovcol;j>=1;j--){
                   9426:       cutv(stra, strb,line,' '); 
1.223     brouard  9427:       if(strb[0]=='.') { /* Missing covariate value */
1.225     brouard  9428:        lval=-1;
1.136     brouard  9429:       }else{
1.225     brouard  9430:        errno=0;
                   9431:        lval=strtol(strb,&endptr,10); 
                   9432:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9433:          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);
                   9434:          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);
                   9435:          return 1;
                   9436:        }
1.136     brouard  9437:       }
                   9438:       if(lval <-1 || lval >1){
1.225     brouard  9439:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  9440:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9441:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  9442:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9443:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9444:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  9445:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  9446:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  9447:  Exiting.\n",lval,linei, i,line,j);
1.225     brouard  9448:        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  9449:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9450:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  9451:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9452:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9453:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  9454:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  9455:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  9456:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.225     brouard  9457:        return 1;
1.136     brouard  9458:       }
                   9459:       covar[j][i]=(double)(lval);
                   9460:       strcpy(line,stra);
                   9461:     }  
                   9462:     lstra=strlen(stra);
1.225     brouard  9463:     
1.136     brouard  9464:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   9465:       stratrunc = &(stra[lstra-9]);
                   9466:       num[i]=atol(stratrunc);
                   9467:     }
                   9468:     else
                   9469:       num[i]=atol(stra);
                   9470:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   9471:       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;}*/
                   9472:     
                   9473:     i=i+1;
                   9474:   } /* End loop reading  data */
1.225     brouard  9475:   
1.136     brouard  9476:   *imax=i-1; /* Number of individuals */
                   9477:   fclose(fic);
1.225     brouard  9478:   
1.136     brouard  9479:   return (0);
1.164     brouard  9480:   /* endread: */
1.225     brouard  9481:   printf("Exiting readdata: ");
                   9482:   fclose(fic);
                   9483:   return (1);
1.223     brouard  9484: }
1.126     brouard  9485: 
1.234     brouard  9486: void removefirstspace(char **stri){/*, char stro[]) {*/
1.230     brouard  9487:   char *p1 = *stri, *p2 = *stri;
1.235     brouard  9488:   while (*p2 == ' ')
1.234     brouard  9489:     p2++; 
                   9490:   /* while ((*p1++ = *p2++) !=0) */
                   9491:   /*   ; */
                   9492:   /* do */
                   9493:   /*   while (*p2 == ' ') */
                   9494:   /*     p2++; */
                   9495:   /* while (*p1++ == *p2++); */
                   9496:   *stri=p2; 
1.145     brouard  9497: }
                   9498: 
1.235     brouard  9499: int decoderesult ( char resultline[], int nres)
1.230     brouard  9500: /**< This routine decode one result line and returns the combination # of dummy covariates only **/
                   9501: {
1.235     brouard  9502:   int j=0, k=0, k1=0, k2=0, k3=0, k4=0, match=0, k2q=0, k3q=0, k4q=0;
1.230     brouard  9503:   char resultsav[MAXLINE];
1.234     brouard  9504:   int resultmodel[MAXLINE];
                   9505:   int modelresult[MAXLINE];
1.230     brouard  9506:   char stra[80], strb[80], strc[80], strd[80],stre[80];
                   9507: 
1.234     brouard  9508:   removefirstspace(&resultline);
1.233     brouard  9509:   printf("decoderesult:%s\n",resultline);
1.230     brouard  9510: 
                   9511:   if (strstr(resultline,"v") !=0){
                   9512:     printf("Error. 'v' must be in upper case 'V' result: %s ",resultline);
                   9513:     fprintf(ficlog,"Error. 'v' must be in upper case result: %s ",resultline);fflush(ficlog);
                   9514:     return 1;
                   9515:   }
                   9516:   trimbb(resultsav, resultline);
                   9517:   if (strlen(resultsav) >1){
                   9518:     j=nbocc(resultsav,'='); /**< j=Number of covariate values'=' */
                   9519:   }
1.253     brouard  9520:   if(j == 0){ /* Resultline but no = */
                   9521:     TKresult[nres]=0; /* Combination for the nresult and the model */
                   9522:     return (0);
                   9523:   }
                   9524:     
1.234     brouard  9525:   if( j != cptcovs ){ /* Be careful if a variable is in a product but not single */
                   9526:     printf("ERROR: the number of variable in the resultline, %d, differs from the number of variable used in the model line, %d.\n",j, cptcovs);
                   9527:     fprintf(ficlog,"ERROR: the number of variable in the resultline, %d, differs from the number of variable used in the model line, %d.\n",j, cptcovs);
                   9528:   }
                   9529:   for(k=1; k<=j;k++){ /* Loop on any covariate of the result line */
                   9530:     if(nbocc(resultsav,'=') >1){
                   9531:        cutl(stra,strb,resultsav,' '); /* keeps in strb after the first ' ' 
                   9532:                                      resultsav= V4=1 V5=25.1 V3=0 strb=V3=0 stra= V4=1 V5=25.1 */
                   9533:        cutl(strc,strd,strb,'=');  /* strb:V4=1 strc=1 strd=V4 */
                   9534:     }else
                   9535:       cutl(strc,strd,resultsav,'=');
1.230     brouard  9536:     Tvalsel[k]=atof(strc); /* 1 */
1.234     brouard  9537:     
1.230     brouard  9538:     cutl(strc,stre,strd,'V'); /* strd='V4' strc=4 stre='V' */;
                   9539:     Tvarsel[k]=atoi(strc);
                   9540:     /* Typevarsel[k]=1;  /\* 1 for age product *\/ */
                   9541:     /* cptcovsel++;     */
                   9542:     if (nbocc(stra,'=') >0)
                   9543:       strcpy(resultsav,stra); /* and analyzes it */
                   9544:   }
1.235     brouard  9545:   /* Checking for missing or useless values in comparison of current model needs */
1.236     brouard  9546:   for(k1=1; k1<= cptcovt ;k1++){ /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9547:     if(Typevar[k1]==0){ /* Single covariate in model */
1.234     brouard  9548:       match=0;
1.236     brouard  9549:       for(k2=1; k2 <=j;k2++){/* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
1.237     brouard  9550:        if(Tvar[k1]==Tvarsel[k2]) {/* Tvar[1]=5 == Tvarsel[2]=5   */
1.236     brouard  9551:          modelresult[k2]=k1;/* modelresult[2]=1 modelresult[1]=2  modelresult[3]=3  modelresult[6]=4 modelresult[9]=5 */
1.234     brouard  9552:          match=1;
                   9553:          break;
                   9554:        }
                   9555:       }
                   9556:       if(match == 0){
                   9557:        printf("Error in result line: %d value missing; result: %s, model=%s\n",k1, resultline, model);
                   9558:       }
                   9559:     }
                   9560:   }
1.235     brouard  9561:   /* Checking for missing or useless values in comparison of current model needs */
                   9562:   for(k2=1; k2 <=j;k2++){ /* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
1.234     brouard  9563:     match=0;
1.235     brouard  9564:     for(k1=1; k1<= cptcovt ;k1++){ /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9565:       if(Typevar[k1]==0){ /* Single */
1.237     brouard  9566:        if(Tvar[k1]==Tvarsel[k2]) { /* Tvar[2]=4 == Tvarsel[1]=4   */
1.235     brouard  9567:          resultmodel[k1]=k2;  /* resultmodel[2]=1 resultmodel[1]=2  resultmodel[3]=3  resultmodel[6]=4 resultmodel[9]=5 */
1.234     brouard  9568:          ++match;
                   9569:        }
                   9570:       }
                   9571:     }
                   9572:     if(match == 0){
                   9573:       printf("Error in result line: %d value missing; result: %s, model=%s\n",k1, resultline, model);
                   9574:     }else if(match > 1){
                   9575:       printf("Error in result line: %d doubled; result: %s, model=%s\n",k2, resultline, model);
                   9576:     }
                   9577:   }
1.235     brouard  9578:       
1.234     brouard  9579:   /* We need to deduce which combination number is chosen and save quantitative values */
1.235     brouard  9580:   /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9581:   /* result line V4=1 V5=25.1 V3=0  V2=8 V1=1 */
                   9582:   /* should give a combination of dummy V4=1, V3=0, V1=1 => V4*2**(0) + V3*2**(1) + V1*2**(2) = 5 + (1offset) = 6*/
                   9583:   /* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
                   9584:   /* should give a combination of dummy V4=1, V3=1, V1=0 => V4*2**(0) + V3*2**(1) + V1*2**(2) = 3 + (1offset) = 4*/
                   9585:   /*    1 0 0 0 */
                   9586:   /*    2 1 0 0 */
                   9587:   /*    3 0 1 0 */ 
                   9588:   /*    4 1 1 0 */ /* V4=1, V3=1, V1=0 */
                   9589:   /*    5 0 0 1 */
                   9590:   /*    6 1 0 1 */ /* V4=1, V3=0, V1=1 */
                   9591:   /*    7 0 1 1 */
                   9592:   /*    8 1 1 1 */
1.237     brouard  9593:   /* V(Tvresult)=Tresult V4=1 V3=0 V1=1 Tresult[nres=1][2]=0 */
                   9594:   /* V(Tvqresult)=Tqresult V5=25.1 V2=8 Tqresult[nres=1][1]=25.1 */
                   9595:   /* V5*age V5 known which value for nres?  */
                   9596:   /* Tqinvresult[2]=8 Tqinvresult[1]=25.1  */
1.235     brouard  9597:   for(k1=1, k=0, k4=0, k4q=0; k1 <=cptcovt;k1++){ /* model line */
                   9598:     if( Dummy[k1]==0 && Typevar[k1]==0 ){ /* Single dummy */
1.237     brouard  9599:       k3= resultmodel[k1]; /* resultmodel[2(V4)] = 1=k3 */
1.235     brouard  9600:       k2=(int)Tvarsel[k3]; /*  Tvarsel[resultmodel[2]]= Tvarsel[1] = 4=k2 */
                   9601:       k+=Tvalsel[k3]*pow(2,k4);  /*  Tvalsel[1]=1  */
1.237     brouard  9602:       Tresult[nres][k4+1]=Tvalsel[k3];/* Tresult[nres][1]=1(V4=1)  Tresult[nres][2]=0(V3=0) */
                   9603:       Tvresult[nres][k4+1]=(int)Tvarsel[k3];/* Tvresult[nres][1]=4 Tvresult[nres][3]=1 */
                   9604:       Tinvresult[nres][(int)Tvarsel[k3]]=Tvalsel[k3]; /* Tinvresult[nres][4]=1 */
1.235     brouard  9605:       printf("Decoderesult Dummy k=%d, V(k2=V%d)= Tvalsel[%d]=%d, 2**(%d)\n",k, k2, k3, (int)Tvalsel[k3], k4);
                   9606:       k4++;;
                   9607:     }  else if( Dummy[k1]==1 && Typevar[k1]==0 ){ /* Single quantitative */
                   9608:       k3q= resultmodel[k1]; /* resultmodel[2] = 1=k3 */
                   9609:       k2q=(int)Tvarsel[k3q]; /*  Tvarsel[resultmodel[2]]= Tvarsel[1] = 4=k2 */
1.237     brouard  9610:       Tqresult[nres][k4q+1]=Tvalsel[k3q]; /* Tqresult[nres][1]=25.1 */
                   9611:       Tvqresult[nres][k4q+1]=(int)Tvarsel[k3q]; /* Tvqresult[nres][1]=5 */
                   9612:       Tqinvresult[nres][(int)Tvarsel[k3q]]=Tvalsel[k3q]; /* Tqinvresult[nres][5]=25.1 */
1.235     brouard  9613:       printf("Decoderesult Quantitative nres=%d, V(k2q=V%d)= Tvalsel[%d]=%d, Tvarsel[%d]=%f\n",nres, k2q, k3q, Tvarsel[k3q], k3q, Tvalsel[k3q]);
                   9614:       k4q++;;
                   9615:     }
                   9616:   }
1.234     brouard  9617:   
1.235     brouard  9618:   TKresult[nres]=++k; /* Combination for the nresult and the model */
1.230     brouard  9619:   return (0);
                   9620: }
1.235     brouard  9621: 
1.230     brouard  9622: int decodemodel( char model[], int lastobs)
                   9623:  /**< This routine decodes the model and returns:
1.224     brouard  9624:        * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   9625:        * - nagesqr = 1 if age*age in the model, otherwise 0.
                   9626:        * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   9627:        * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
                   9628:        * - cptcovage number of covariates with age*products =2
                   9629:        * - cptcovs number of simple covariates
                   9630:        * - 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
                   9631:        *     which is a new column after the 9 (ncovcol) variables. 
                   9632:        * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
                   9633:        * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   9634:        *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   9635:        * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   9636:        */
1.136     brouard  9637: {
1.238     brouard  9638:   int i, j, k, ks, v;
1.227     brouard  9639:   int  j1, k1, k2, k3, k4;
1.136     brouard  9640:   char modelsav[80];
1.145     brouard  9641:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  9642:   char *strpt;
1.136     brouard  9643: 
1.145     brouard  9644:   /*removespace(model);*/
1.136     brouard  9645:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  9646:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  9647:     if (strstr(model,"AGE") !=0){
1.192     brouard  9648:       printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
                   9649:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
1.136     brouard  9650:       return 1;
                   9651:     }
1.141     brouard  9652:     if (strstr(model,"v") !=0){
                   9653:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   9654:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   9655:       return 1;
                   9656:     }
1.187     brouard  9657:     strcpy(modelsav,model); 
                   9658:     if ((strpt=strstr(model,"age*age")) !=0){
                   9659:       printf(" strpt=%s, model=%s\n",strpt, model);
                   9660:       if(strpt != model){
1.234     brouard  9661:        printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  9662:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  9663:  corresponding column of parameters.\n",model);
1.234     brouard  9664:        fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  9665:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  9666:  corresponding column of parameters.\n",model); fflush(ficlog);
1.234     brouard  9667:        return 1;
1.225     brouard  9668:       }
1.187     brouard  9669:       nagesqr=1;
                   9670:       if (strstr(model,"+age*age") !=0)
1.234     brouard  9671:        substrchaine(modelsav, model, "+age*age");
1.187     brouard  9672:       else if (strstr(model,"age*age+") !=0)
1.234     brouard  9673:        substrchaine(modelsav, model, "age*age+");
1.187     brouard  9674:       else 
1.234     brouard  9675:        substrchaine(modelsav, model, "age*age");
1.187     brouard  9676:     }else
                   9677:       nagesqr=0;
                   9678:     if (strlen(modelsav) >1){
                   9679:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   9680:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
1.224     brouard  9681:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =5-3=2  */
1.187     brouard  9682:       cptcovt= j+1; /* Number of total covariates in the model, not including
1.225     brouard  9683:                     * cst, age and age*age 
                   9684:                     * V1+V1*age+ V3 + V3*V4+age*age=> 3+1=4*/
                   9685:       /* including age products which are counted in cptcovage.
                   9686:        * but the covariates which are products must be treated 
                   9687:        * separately: ncovn=4- 2=2 (V1+V3). */
1.187     brouard  9688:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   9689:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
1.225     brouard  9690:       
                   9691:       
1.187     brouard  9692:       /*   Design
                   9693:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   9694:        *  <          ncovcol=8                >
                   9695:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   9696:        *   k=  1    2      3       4     5       6      7        8
                   9697:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   9698:        *  covar[k,i], value of kth covariate if not including age for individual i:
1.224     brouard  9699:        *       covar[1][i]= (V1), covar[4][i]=(V4), covar[8][i]=(V8)
                   9700:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[2]=1 Tvar[4]=3 Tvar[8]=8
1.187     brouard  9701:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   9702:        *  Tage[++cptcovage]=k
                   9703:        *       if products, new covar are created after ncovcol with k1
                   9704:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   9705:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   9706:        *  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
                   9707:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   9708:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   9709:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   9710:        *  <          ncovcol=8                >
                   9711:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   9712:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   9713:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
                   9714:        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   9715:        * p Tprod[1]@2={                         6, 5}
                   9716:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   9717:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   9718:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                   9719:        *How to reorganize?
                   9720:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   9721:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   9722:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   9723:        * Struct []
                   9724:        */
1.225     brouard  9725:       
1.187     brouard  9726:       /* This loop fills the array Tvar from the string 'model'.*/
                   9727:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   9728:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   9729:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   9730:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   9731:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   9732:       /*       k=1 Tvar[1]=2 (from V2) */
                   9733:       /*       k=5 Tvar[5] */
                   9734:       /* for (k=1; k<=cptcovn;k++) { */
1.198     brouard  9735:       /*       cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.187     brouard  9736:       /*       } */
1.198     brouard  9737:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
1.187     brouard  9738:       /*
                   9739:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
1.227     brouard  9740:       for(k=cptcovt; k>=1;k--){ /**< Number of covariates not including constant and age, neither age*age*/
                   9741:         Tvar[k]=0; Tprod[k]=0; Tposprod[k]=0;
                   9742:       }
1.187     brouard  9743:       cptcovage=0;
                   9744:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
1.234     brouard  9745:        cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
1.225     brouard  9746:                                         modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
1.234     brouard  9747:        if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
                   9748:        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                   9749:        /*scanf("%d",i);*/
                   9750:        if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
                   9751:          cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
                   9752:          if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                   9753:            /* covar is not filled and then is empty */
                   9754:            cptcovprod--;
                   9755:            cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                   9756:            Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
                   9757:            Typevar[k]=1;  /* 1 for age product */
                   9758:            cptcovage++; /* Sums the number of covariates which include age as a product */
                   9759:            Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
                   9760:            /*printf("stre=%s ", stre);*/
                   9761:          } else if (strcmp(strd,"age")==0) { /* or age*Vn */
                   9762:            cptcovprod--;
                   9763:            cutl(stre,strb,strc,'V');
                   9764:            Tvar[k]=atoi(stre);
                   9765:            Typevar[k]=1;  /* 1 for age product */
                   9766:            cptcovage++;
                   9767:            Tage[cptcovage]=k;
                   9768:          } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                   9769:            /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                   9770:            cptcovn++;
                   9771:            cptcovprodnoage++;k1++;
                   9772:            cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                   9773:            Tvar[k]=ncovcol+nqv+ntv+nqtv+k1; /* For model-covariate k tells which data-covariate to use but
                   9774:                                                because this model-covariate is a construction we invent a new column
                   9775:                                                which is after existing variables ncovcol+nqv+ntv+nqtv + k1
                   9776:                                                If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                   9777:                                                Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
                   9778:            Typevar[k]=2;  /* 2 for double fixed dummy covariates */
                   9779:            cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                   9780:            Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
                   9781:            Tposprod[k]=k1; /* Tpsprod[3]=1, Tposprod[2]=5 */
                   9782:            Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                   9783:            Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                   9784:            k2=k2+2;  /* k2 is initialize to -1, We want to store the n and m in Vn*Vm at the end of Tvar */
                   9785:            /* Tvar[cptcovt+k2]=Tvard[k1][1]; /\* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) *\/ */
                   9786:            /* Tvar[cptcovt+k2+1]=Tvard[k1][2];  /\* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) *\/ */
1.225     brouard  9787:             /*ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2, Tvar[3]=5, Tvar[4]=6, cptcovt=5 */
1.234     brouard  9788:            /*                     1  2   3      4     5 | Tvar[5+1)=1, Tvar[7]=2   */
                   9789:            for (i=1; i<=lastobs;i++){
                   9790:              /* Computes the new covariate which is a product of
                   9791:                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                   9792:              covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   9793:            }
                   9794:          } /* End age is not in the model */
                   9795:        } /* End if model includes a product */
                   9796:        else { /* no more sum */
                   9797:          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                   9798:          /*  scanf("%d",i);*/
                   9799:          cutl(strd,strc,strb,'V');
                   9800:          ks++; /**< Number of simple covariates dummy or quantitative, fixe or varying */
                   9801:          cptcovn++; /** V4+V3+V5: V4 and V3 timevarying dummy covariates, V5 timevarying quantitative */
                   9802:          Tvar[k]=atoi(strd);
                   9803:          Typevar[k]=0;  /* 0 for simple covariates */
                   9804:        }
                   9805:        strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
1.223     brouard  9806:                                /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
1.225     brouard  9807:                                  scanf("%d",i);*/
1.187     brouard  9808:       } /* end of loop + on total covariates */
                   9809:     } /* end if strlen(modelsave == 0) age*age might exist */
                   9810:   } /* end if strlen(model == 0) */
1.136     brouard  9811:   
                   9812:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   9813:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
1.225     brouard  9814:   
1.136     brouard  9815:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
1.225     brouard  9816:      printf("cptcovprod=%d ", cptcovprod);
                   9817:      fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
                   9818:      scanf("%d ",i);*/
                   9819: 
                   9820: 
1.230     brouard  9821: /* Until here, decodemodel knows only the grammar (simple, product, age*) of the model but not what kind
                   9822:    of variable (dummy vs quantitative, fixed vs time varying) is behind. But we know the # of each. */
1.226     brouard  9823: /* ncovcol= 1, nqv=1 | ntv=2, nqtv= 1  = 5 possible variables data: 2 fixed 3, varying
                   9824:    model=        V5 + V4 +V3 + V4*V3 + V5*age + V2 + V1*V2 + V1*age + V5*age, V1 is not used saving its place
                   9825:    k =           1    2   3     4       5       6      7      8        9
                   9826:    Tvar[k]=      5    4   3 1+1+2+1+1=6 5       2      7      1        5
                   9827:    Typevar[k]=   0    0   0     2       1       0      2      1        1
1.227     brouard  9828:    Fixed[k]      1    1   1     1       3       0    0 or 2   2        3
                   9829:    Dummy[k]      1    0   0     0       3       1      1      2        3
                   9830:          Tmodelind[combination of covar]=k;
1.225     brouard  9831: */  
                   9832: /* Dispatching between quantitative and time varying covariates */
1.226     brouard  9833:   /* If Tvar[k] >ncovcol it is a product */
1.225     brouard  9834:   /* 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  9835:        /* Computing effective variables, ie used by the model, that is from the cptcovt variables */
1.227     brouard  9836:   printf("Model=%s\n\
                   9837: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   9838: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   9839: 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);
                   9840:   fprintf(ficlog,"Model=%s\n\
                   9841: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   9842: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   9843: 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  9844:   for(k=-1;k<=cptcovt; k++){ Fixed[k]=0; Dummy[k]=0;}
1.234     brouard  9845:   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 */
                   9846:     if (Tvar[k] <=ncovcol && Typevar[k]==0 ){ /* Simple fixed dummy (<=ncovcol) covariates */
1.227     brouard  9847:       Fixed[k]= 0;
                   9848:       Dummy[k]= 0;
1.225     brouard  9849:       ncoveff++;
1.232     brouard  9850:       ncovf++;
1.234     brouard  9851:       nsd++;
                   9852:       modell[k].maintype= FTYPE;
                   9853:       TvarsD[nsd]=Tvar[k];
                   9854:       TvarsDind[nsd]=k;
                   9855:       TvarF[ncovf]=Tvar[k];
                   9856:       TvarFind[ncovf]=k;
                   9857:       TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9858:       TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9859:     }else if( Tvar[k] <=ncovcol &&  Typevar[k]==2){ /* Product of fixed dummy (<=ncovcol) covariates */
                   9860:       Fixed[k]= 0;
                   9861:       Dummy[k]= 0;
                   9862:       ncoveff++;
                   9863:       ncovf++;
                   9864:       modell[k].maintype= FTYPE;
                   9865:       TvarF[ncovf]=Tvar[k];
                   9866:       TvarFind[ncovf]=k;
1.230     brouard  9867:       TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
1.231     brouard  9868:       TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
1.240     brouard  9869:     }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  9870:       Fixed[k]= 0;
                   9871:       Dummy[k]= 1;
1.230     brouard  9872:       nqfveff++;
1.234     brouard  9873:       modell[k].maintype= FTYPE;
                   9874:       modell[k].subtype= FQ;
                   9875:       nsq++;
                   9876:       TvarsQ[nsq]=Tvar[k];
                   9877:       TvarsQind[nsq]=k;
1.232     brouard  9878:       ncovf++;
1.234     brouard  9879:       TvarF[ncovf]=Tvar[k];
                   9880:       TvarFind[ncovf]=k;
1.231     brouard  9881:       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  9882:       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  9883:     }else if( Tvar[k] <=ncovcol+nqv+ntv && Typevar[k]==0){/* Only simple time varying dummy variables */
1.227     brouard  9884:       Fixed[k]= 1;
                   9885:       Dummy[k]= 0;
1.225     brouard  9886:       ntveff++; /* Only simple time varying dummy variable */
1.234     brouard  9887:       modell[k].maintype= VTYPE;
                   9888:       modell[k].subtype= VD;
                   9889:       nsd++;
                   9890:       TvarsD[nsd]=Tvar[k];
                   9891:       TvarsDind[nsd]=k;
                   9892:       ncovv++; /* Only simple time varying variables */
                   9893:       TvarV[ncovv]=Tvar[k];
1.242     brouard  9894:       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  9895:       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 */
                   9896:       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  9897:       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);
                   9898:       printf("Quasi TmodelInvind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv);
1.231     brouard  9899:     }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv  && Typevar[k]==0){ /* Only simple time varying quantitative variable V5*/
1.234     brouard  9900:       Fixed[k]= 1;
                   9901:       Dummy[k]= 1;
                   9902:       nqtveff++;
                   9903:       modell[k].maintype= VTYPE;
                   9904:       modell[k].subtype= VQ;
                   9905:       ncovv++; /* Only simple time varying variables */
                   9906:       nsq++;
                   9907:       TvarsQ[nsq]=Tvar[k];
                   9908:       TvarsQind[nsq]=k;
                   9909:       TvarV[ncovv]=Tvar[k];
1.242     brouard  9910:       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  9911:       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 */
                   9912:       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  9913:       TmodelInvQind[nqtveff]=Tvar[k]- ncovcol-nqv-ntv;/* Only simple time varying quantitative variable */
                   9914:       /* Tmodeliqind[k]=nqtveff;/\* Only simple time varying quantitative variable *\/ */
                   9915:       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  9916:       printf("Quasi TmodelInvQind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv-ntv);
1.227     brouard  9917:     }else if (Typevar[k] == 1) {  /* product with age */
1.234     brouard  9918:       ncova++;
                   9919:       TvarA[ncova]=Tvar[k];
                   9920:       TvarAind[ncova]=k;
1.231     brouard  9921:       if (Tvar[k] <=ncovcol ){ /* Product age with fixed dummy covariatee */
1.240     brouard  9922:        Fixed[k]= 2;
                   9923:        Dummy[k]= 2;
                   9924:        modell[k].maintype= ATYPE;
                   9925:        modell[k].subtype= APFD;
                   9926:        /* ncoveff++; */
1.227     brouard  9927:       }else if( Tvar[k] <=ncovcol+nqv) { /* Remind that product Vn*Vm are added in k*/
1.240     brouard  9928:        Fixed[k]= 2;
                   9929:        Dummy[k]= 3;
                   9930:        modell[k].maintype= ATYPE;
                   9931:        modell[k].subtype= APFQ;                /*      Product age * fixed quantitative */
                   9932:        /* nqfveff++;  /\* Only simple fixed quantitative variable *\/ */
1.227     brouard  9933:       }else if( Tvar[k] <=ncovcol+nqv+ntv ){
1.240     brouard  9934:        Fixed[k]= 3;
                   9935:        Dummy[k]= 2;
                   9936:        modell[k].maintype= ATYPE;
                   9937:        modell[k].subtype= APVD;                /*      Product age * varying dummy */
                   9938:        /* ntveff++; /\* Only simple time varying dummy variable *\/ */
1.227     brouard  9939:       }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv){
1.240     brouard  9940:        Fixed[k]= 3;
                   9941:        Dummy[k]= 3;
                   9942:        modell[k].maintype= ATYPE;
                   9943:        modell[k].subtype= APVQ;                /*      Product age * varying quantitative */
                   9944:        /* nqtveff++;/\* Only simple time varying quantitative variable *\/ */
1.227     brouard  9945:       }
                   9946:     }else if (Typevar[k] == 2) {  /* product without age */
                   9947:       k1=Tposprod[k];
                   9948:       if(Tvard[k1][1] <=ncovcol){
1.240     brouard  9949:        if(Tvard[k1][2] <=ncovcol){
                   9950:          Fixed[k]= 1;
                   9951:          Dummy[k]= 0;
                   9952:          modell[k].maintype= FTYPE;
                   9953:          modell[k].subtype= FPDD;              /*      Product fixed dummy * fixed dummy */
                   9954:          ncovf++; /* Fixed variables without age */
                   9955:          TvarF[ncovf]=Tvar[k];
                   9956:          TvarFind[ncovf]=k;
                   9957:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   9958:          Fixed[k]= 0;  /* or 2 ?*/
                   9959:          Dummy[k]= 1;
                   9960:          modell[k].maintype= FTYPE;
                   9961:          modell[k].subtype= FPDQ;              /*      Product fixed dummy * fixed quantitative */
                   9962:          ncovf++; /* Varying variables without age */
                   9963:          TvarF[ncovf]=Tvar[k];
                   9964:          TvarFind[ncovf]=k;
                   9965:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   9966:          Fixed[k]= 1;
                   9967:          Dummy[k]= 0;
                   9968:          modell[k].maintype= VTYPE;
                   9969:          modell[k].subtype= VPDD;              /*      Product fixed dummy * varying dummy */
                   9970:          ncovv++; /* Varying variables without age */
                   9971:          TvarV[ncovv]=Tvar[k];
                   9972:          TvarVind[ncovv]=k;
                   9973:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   9974:          Fixed[k]= 1;
                   9975:          Dummy[k]= 1;
                   9976:          modell[k].maintype= VTYPE;
                   9977:          modell[k].subtype= VPDQ;              /*      Product fixed dummy * varying quantitative */
                   9978:          ncovv++; /* Varying variables without age */
                   9979:          TvarV[ncovv]=Tvar[k];
                   9980:          TvarVind[ncovv]=k;
                   9981:        }
1.227     brouard  9982:       }else if(Tvard[k1][1] <=ncovcol+nqv){
1.240     brouard  9983:        if(Tvard[k1][2] <=ncovcol){
                   9984:          Fixed[k]= 0;  /* or 2 ?*/
                   9985:          Dummy[k]= 1;
                   9986:          modell[k].maintype= FTYPE;
                   9987:          modell[k].subtype= FPDQ;              /*      Product fixed quantitative * fixed dummy */
                   9988:          ncovf++; /* Fixed variables without age */
                   9989:          TvarF[ncovf]=Tvar[k];
                   9990:          TvarFind[ncovf]=k;
                   9991:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   9992:          Fixed[k]= 1;
                   9993:          Dummy[k]= 1;
                   9994:          modell[k].maintype= VTYPE;
                   9995:          modell[k].subtype= VPDQ;              /*      Product fixed quantitative * varying dummy */
                   9996:          ncovv++; /* Varying variables without age */
                   9997:          TvarV[ncovv]=Tvar[k];
                   9998:          TvarVind[ncovv]=k;
                   9999:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   10000:          Fixed[k]= 1;
                   10001:          Dummy[k]= 1;
                   10002:          modell[k].maintype= VTYPE;
                   10003:          modell[k].subtype= VPQQ;              /*      Product fixed quantitative * varying quantitative */
                   10004:          ncovv++; /* Varying variables without age */
                   10005:          TvarV[ncovv]=Tvar[k];
                   10006:          TvarVind[ncovv]=k;
                   10007:          ncovv++; /* Varying variables without age */
                   10008:          TvarV[ncovv]=Tvar[k];
                   10009:          TvarVind[ncovv]=k;
                   10010:        }
1.227     brouard  10011:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv){
1.240     brouard  10012:        if(Tvard[k1][2] <=ncovcol){
                   10013:          Fixed[k]= 1;
                   10014:          Dummy[k]= 1;
                   10015:          modell[k].maintype= VTYPE;
                   10016:          modell[k].subtype= VPDD;              /*      Product time varying dummy * fixed dummy */
                   10017:          ncovv++; /* Varying variables without age */
                   10018:          TvarV[ncovv]=Tvar[k];
                   10019:          TvarVind[ncovv]=k;
                   10020:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   10021:          Fixed[k]= 1;
                   10022:          Dummy[k]= 1;
                   10023:          modell[k].maintype= VTYPE;
                   10024:          modell[k].subtype= VPDQ;              /*      Product time varying dummy * fixed quantitative */
                   10025:          ncovv++; /* Varying variables without age */
                   10026:          TvarV[ncovv]=Tvar[k];
                   10027:          TvarVind[ncovv]=k;
                   10028:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   10029:          Fixed[k]= 1;
                   10030:          Dummy[k]= 0;
                   10031:          modell[k].maintype= VTYPE;
                   10032:          modell[k].subtype= VPDD;              /*      Product time varying dummy * time varying dummy */
                   10033:          ncovv++; /* Varying variables without age */
                   10034:          TvarV[ncovv]=Tvar[k];
                   10035:          TvarVind[ncovv]=k;
                   10036:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   10037:          Fixed[k]= 1;
                   10038:          Dummy[k]= 1;
                   10039:          modell[k].maintype= VTYPE;
                   10040:          modell[k].subtype= VPDQ;              /*      Product time varying dummy * time varying quantitative */
                   10041:          ncovv++; /* Varying variables without age */
                   10042:          TvarV[ncovv]=Tvar[k];
                   10043:          TvarVind[ncovv]=k;
                   10044:        }
1.227     brouard  10045:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv+nqtv){
1.240     brouard  10046:        if(Tvard[k1][2] <=ncovcol){
                   10047:          Fixed[k]= 1;
                   10048:          Dummy[k]= 1;
                   10049:          modell[k].maintype= VTYPE;
                   10050:          modell[k].subtype= VPDQ;              /*      Product time varying quantitative * fixed dummy */
                   10051:          ncovv++; /* Varying variables without age */
                   10052:          TvarV[ncovv]=Tvar[k];
                   10053:          TvarVind[ncovv]=k;
                   10054:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   10055:          Fixed[k]= 1;
                   10056:          Dummy[k]= 1;
                   10057:          modell[k].maintype= VTYPE;
                   10058:          modell[k].subtype= VPQQ;              /*      Product time varying quantitative * fixed quantitative */
                   10059:          ncovv++; /* Varying variables without age */
                   10060:          TvarV[ncovv]=Tvar[k];
                   10061:          TvarVind[ncovv]=k;
                   10062:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   10063:          Fixed[k]= 1;
                   10064:          Dummy[k]= 1;
                   10065:          modell[k].maintype= VTYPE;
                   10066:          modell[k].subtype= VPDQ;              /*      Product time varying quantitative * time varying dummy */
                   10067:          ncovv++; /* Varying variables without age */
                   10068:          TvarV[ncovv]=Tvar[k];
                   10069:          TvarVind[ncovv]=k;
                   10070:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   10071:          Fixed[k]= 1;
                   10072:          Dummy[k]= 1;
                   10073:          modell[k].maintype= VTYPE;
                   10074:          modell[k].subtype= VPQQ;              /*      Product time varying quantitative * time varying quantitative */
                   10075:          ncovv++; /* Varying variables without age */
                   10076:          TvarV[ncovv]=Tvar[k];
                   10077:          TvarVind[ncovv]=k;
                   10078:        }
1.227     brouard  10079:       }else{
1.240     brouard  10080:        printf("Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
                   10081:        fprintf(ficlog,"Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
                   10082:       } /*end k1*/
1.225     brouard  10083:     }else{
1.226     brouard  10084:       printf("Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]);
                   10085:       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  10086:     }
1.227     brouard  10087:     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  10088:     printf("           modell[%d].maintype=%d, modell[%d].subtype=%d\n",k,modell[k].maintype,k,modell[k].subtype);
1.227     brouard  10089:     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]);
                   10090:   }
                   10091:   /* Searching for doublons in the model */
                   10092:   for(k1=1; k1<= cptcovt;k1++){
                   10093:     for(k2=1; k2 <k1;k2++){
1.285     brouard  10094:       /* if((Typevar[k1]==Typevar[k2]) && (Fixed[Tvar[k1]]==Fixed[Tvar[k2]]) && (Dummy[Tvar[k1]]==Dummy[Tvar[k2]] )){ */
                   10095:       if((Typevar[k1]==Typevar[k2]) && (Fixed[k1]==Fixed[k2]) && (Dummy[k1]==Dummy[k2] )){
1.234     brouard  10096:        if((Typevar[k1] == 0 || Typevar[k1] == 1)){ /* Simple or age product */
                   10097:          if(Tvar[k1]==Tvar[k2]){
1.285     brouard  10098:            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]);
                   10099:            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  10100:            return(1);
                   10101:          }
                   10102:        }else if (Typevar[k1] ==2){
                   10103:          k3=Tposprod[k1];
                   10104:          k4=Tposprod[k2];
                   10105:          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])) ){
                   10106:            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]]);
                   10107:            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);
                   10108:            return(1);
                   10109:          }
                   10110:        }
1.227     brouard  10111:       }
                   10112:     }
1.225     brouard  10113:   }
                   10114:   printf("ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
                   10115:   fprintf(ficlog,"ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
1.234     brouard  10116:   printf("ncovf=%d, ncovv=%d, ncova=%d, nsd=%d, nsq=%d\n",ncovf,ncovv,ncova,nsd,nsq);
                   10117:   fprintf(ficlog,"ncovf=%d, ncovv=%d, ncova=%d, nsd=%d, nsq=%d\n",ncovf,ncovv,ncova,nsd, nsq);
1.137     brouard  10118:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  10119:   /*endread:*/
1.225     brouard  10120:   printf("Exiting decodemodel: ");
                   10121:   return (1);
1.136     brouard  10122: }
                   10123: 
1.169     brouard  10124: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.248     brouard  10125: {/* Check ages at death */
1.136     brouard  10126:   int i, m;
1.218     brouard  10127:   int firstone=0;
                   10128:   
1.136     brouard  10129:   for (i=1; i<=imx; i++) {
                   10130:     for(m=2; (m<= maxwav); m++) {
                   10131:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   10132:        anint[m][i]=9999;
1.216     brouard  10133:        if (s[m][i] != -2) /* Keeping initial status of unknown vital status */
                   10134:          s[m][i]=-1;
1.136     brouard  10135:       }
                   10136:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.260     brouard  10137:        *nberr = *nberr + 1;
1.218     brouard  10138:        if(firstone == 0){
                   10139:          firstone=1;
1.260     brouard  10140:        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  10141:        }
1.262     brouard  10142:        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  10143:        s[m][i]=-1;  /* Droping the death status */
1.136     brouard  10144:       }
                   10145:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  10146:        (*nberr)++;
1.259     brouard  10147:        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  10148:        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  10149:        s[m][i]=-2; /* We prefer to skip it (and to skip it in version 0.8a1 too */
1.136     brouard  10150:       }
                   10151:     }
                   10152:   }
                   10153: 
                   10154:   for (i=1; i<=imx; i++)  {
                   10155:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   10156:     for(m=firstpass; (m<= lastpass); m++){
1.214     brouard  10157:       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  10158:        if (s[m][i] >= nlstate+1) {
1.169     brouard  10159:          if(agedc[i]>0){
                   10160:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  10161:              agev[m][i]=agedc[i];
1.214     brouard  10162:              /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  10163:            }else {
1.136     brouard  10164:              if ((int)andc[i]!=9999){
                   10165:                nbwarn++;
                   10166:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   10167:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   10168:                agev[m][i]=-1;
                   10169:              }
                   10170:            }
1.169     brouard  10171:          } /* agedc > 0 */
1.214     brouard  10172:        } /* end if */
1.136     brouard  10173:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   10174:                                 years but with the precision of a month */
                   10175:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   10176:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   10177:            agev[m][i]=1;
                   10178:          else if(agev[m][i] < *agemin){ 
                   10179:            *agemin=agev[m][i];
                   10180:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   10181:          }
                   10182:          else if(agev[m][i] >*agemax){
                   10183:            *agemax=agev[m][i];
1.156     brouard  10184:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  10185:          }
                   10186:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   10187:          /*     agev[m][i] = age[i]+2*m;*/
1.214     brouard  10188:        } /* en if 9*/
1.136     brouard  10189:        else { /* =9 */
1.214     brouard  10190:          /* printf("Debug num[%d]=%ld s[%d][%d]=%d\n",i,num[i], m,i, s[m][i]); */
1.136     brouard  10191:          agev[m][i]=1;
                   10192:          s[m][i]=-1;
                   10193:        }
                   10194:       }
1.214     brouard  10195:       else if(s[m][i]==0) /*= 0 Unknown */
1.136     brouard  10196:        agev[m][i]=1;
1.214     brouard  10197:       else{
                   10198:        printf("Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   10199:        fprintf(ficlog, "Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   10200:        agev[m][i]=0;
                   10201:       }
                   10202:     } /* End for lastpass */
                   10203:   }
1.136     brouard  10204:     
                   10205:   for (i=1; i<=imx; i++)  {
                   10206:     for(m=firstpass; (m<=lastpass); m++){
                   10207:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  10208:        (*nberr)++;
1.136     brouard  10209:        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);     
                   10210:        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);     
                   10211:        return 1;
                   10212:       }
                   10213:     }
                   10214:   }
                   10215: 
                   10216:   /*for (i=1; i<=imx; i++){
                   10217:   for (m=firstpass; (m<lastpass); m++){
                   10218:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   10219: }
                   10220: 
                   10221: }*/
                   10222: 
                   10223: 
1.139     brouard  10224:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   10225:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  10226: 
                   10227:   return (0);
1.164     brouard  10228:  /* endread:*/
1.136     brouard  10229:     printf("Exiting calandcheckages: ");
                   10230:     return (1);
                   10231: }
                   10232: 
1.172     brouard  10233: #if defined(_MSC_VER)
                   10234: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   10235: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   10236: //#include "stdafx.h"
                   10237: //#include <stdio.h>
                   10238: //#include <tchar.h>
                   10239: //#include <windows.h>
                   10240: //#include <iostream>
                   10241: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   10242: 
                   10243: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   10244: 
                   10245: BOOL IsWow64()
                   10246: {
                   10247:        BOOL bIsWow64 = FALSE;
                   10248: 
                   10249:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   10250:        //  (HANDLE, PBOOL);
                   10251: 
                   10252:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   10253: 
                   10254:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   10255:        const char funcName[] = "IsWow64Process";
                   10256:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   10257:                GetProcAddress(module, funcName);
                   10258: 
                   10259:        if (NULL != fnIsWow64Process)
                   10260:        {
                   10261:                if (!fnIsWow64Process(GetCurrentProcess(),
                   10262:                        &bIsWow64))
                   10263:                        //throw std::exception("Unknown error");
                   10264:                        printf("Unknown error\n");
                   10265:        }
                   10266:        return bIsWow64 != FALSE;
                   10267: }
                   10268: #endif
1.177     brouard  10269: 
1.191     brouard  10270: void syscompilerinfo(int logged)
1.292     brouard  10271: {
                   10272: #include <stdint.h>
                   10273: 
                   10274:   /* #include "syscompilerinfo.h"*/
1.185     brouard  10275:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   10276:    /* /GS /W3 /Gy
                   10277:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   10278:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   10279:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  10280:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   10281:    */ 
                   10282:    /* 64 bits */
1.185     brouard  10283:    /*
                   10284:      /GS /W3 /Gy
                   10285:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   10286:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   10287:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   10288:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   10289:    /* Optimization are useless and O3 is slower than O2 */
                   10290:    /*
                   10291:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   10292:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   10293:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   10294:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   10295:    */
1.186     brouard  10296:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  10297:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   10298:       /PDB:"visual studio
                   10299:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   10300:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   10301:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   10302:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   10303:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   10304:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   10305:       uiAccess='false'"
                   10306:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   10307:       /NOLOGO /TLBID:1
                   10308:    */
1.292     brouard  10309: 
                   10310: 
1.177     brouard  10311: #if defined __INTEL_COMPILER
1.178     brouard  10312: #if defined(__GNUC__)
                   10313:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   10314: #endif
1.177     brouard  10315: #elif defined(__GNUC__) 
1.179     brouard  10316: #ifndef  __APPLE__
1.174     brouard  10317: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  10318: #endif
1.177     brouard  10319:    struct utsname sysInfo;
1.178     brouard  10320:    int cross = CROSS;
                   10321:    if (cross){
                   10322:           printf("Cross-");
1.191     brouard  10323:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  10324:    }
1.174     brouard  10325: #endif
                   10326: 
1.191     brouard  10327:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  10328: #if defined(__clang__)
1.191     brouard  10329:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  10330: #endif
                   10331: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191     brouard  10332:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  10333: #endif
                   10334: #if defined(__GNUC__) || defined(__GNUG__)
1.191     brouard  10335:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  10336: #endif
                   10337: #if defined(__HP_cc) || defined(__HP_aCC)
1.191     brouard  10338:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  10339: #endif
                   10340: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191     brouard  10341:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  10342: #endif
                   10343: #if defined(_MSC_VER)
1.191     brouard  10344:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  10345: #endif
                   10346: #if defined(__PGI)
1.191     brouard  10347:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  10348: #endif
                   10349: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191     brouard  10350:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  10351: #endif
1.191     brouard  10352:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  10353:    
1.167     brouard  10354: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   10355: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   10356:     // Windows (x64 and x86)
1.191     brouard  10357:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  10358: #elif __unix__ // all unices, not all compilers
                   10359:     // Unix
1.191     brouard  10360:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  10361: #elif __linux__
                   10362:     // linux
1.191     brouard  10363:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  10364: #elif __APPLE__
1.174     brouard  10365:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191     brouard  10366:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  10367: #endif
                   10368: 
                   10369: /*  __MINGW32__          */
                   10370: /*  __CYGWIN__  */
                   10371: /* __MINGW64__  */
                   10372: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   10373: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   10374: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   10375: /* _WIN64  // Defined for applications for Win64. */
                   10376: /* _M_X64 // Defined for compilations that target x64 processors. */
                   10377: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  10378: 
1.167     brouard  10379: #if UINTPTR_MAX == 0xffffffff
1.191     brouard  10380:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  10381: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191     brouard  10382:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  10383: #else
1.191     brouard  10384:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  10385: #endif
                   10386: 
1.169     brouard  10387: #if defined(__GNUC__)
                   10388: # if defined(__GNUC_PATCHLEVEL__)
                   10389: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   10390:                             + __GNUC_MINOR__ * 100 \
                   10391:                             + __GNUC_PATCHLEVEL__)
                   10392: # else
                   10393: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   10394:                             + __GNUC_MINOR__ * 100)
                   10395: # endif
1.174     brouard  10396:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191     brouard  10397:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  10398: 
                   10399:    if (uname(&sysInfo) != -1) {
                   10400:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191     brouard  10401:         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  10402:    }
                   10403:    else
                   10404:       perror("uname() error");
1.179     brouard  10405:    //#ifndef __INTEL_COMPILER 
                   10406: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  10407:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191     brouard  10408:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  10409: #endif
1.169     brouard  10410: #endif
1.172     brouard  10411: 
1.286     brouard  10412:    //   void main ()
1.172     brouard  10413:    //   {
1.169     brouard  10414: #if defined(_MSC_VER)
1.174     brouard  10415:    if (IsWow64()){
1.191     brouard  10416:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
                   10417:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  10418:    }
                   10419:    else{
1.191     brouard  10420:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
                   10421:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  10422:    }
1.172     brouard  10423:    //     printf("\nPress Enter to continue...");
                   10424:    //     getchar();
                   10425:    //   }
                   10426: 
1.169     brouard  10427: #endif
                   10428:    
1.167     brouard  10429: 
1.219     brouard  10430: }
1.136     brouard  10431: 
1.219     brouard  10432: int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp){
1.288     brouard  10433:   /*--------------- Prevalence limit  (forward period or forward stable prevalence) --------------*/
1.235     brouard  10434:   int i, j, k, i1, k4=0, nres=0 ;
1.202     brouard  10435:   /* double ftolpl = 1.e-10; */
1.180     brouard  10436:   double age, agebase, agelim;
1.203     brouard  10437:   double tot;
1.180     brouard  10438: 
1.202     brouard  10439:   strcpy(filerespl,"PL_");
                   10440:   strcat(filerespl,fileresu);
                   10441:   if((ficrespl=fopen(filerespl,"w"))==NULL) {
1.288     brouard  10442:     printf("Problem with forward period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   10443:     fprintf(ficlog,"Problem with forward period (stable) prevalence resultfile: %s\n", filerespl);return 1;
1.202     brouard  10444:   }
1.288     brouard  10445:   printf("\nComputing forward period (stable) prevalence: result on file '%s' \n", filerespl);
                   10446:   fprintf(ficlog,"\nComputing forward period (stable) prevalence: result on file '%s' \n", filerespl);
1.202     brouard  10447:   pstamp(ficrespl);
1.288     brouard  10448:   fprintf(ficrespl,"# Forward period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.202     brouard  10449:   fprintf(ficrespl,"#Age ");
                   10450:   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   10451:   fprintf(ficrespl,"\n");
1.180     brouard  10452:   
1.219     brouard  10453:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
1.180     brouard  10454: 
1.219     brouard  10455:   agebase=ageminpar;
                   10456:   agelim=agemaxpar;
1.180     brouard  10457: 
1.227     brouard  10458:   /* i1=pow(2,ncoveff); */
1.234     brouard  10459:   i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
1.219     brouard  10460:   if (cptcovn < 1){i1=1;}
1.180     brouard  10461: 
1.238     brouard  10462:   for(k=1; k<=i1;k++){ /* For each combination k of dummy covariates in the model */
                   10463:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  10464:       if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10465:        continue;
1.235     brouard  10466: 
1.238     brouard  10467:       /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10468:       /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
                   10469:       //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
                   10470:       /* k=k+1; */
                   10471:       /* to clean */
                   10472:       //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   10473:       fprintf(ficrespl,"#******");
                   10474:       printf("#******");
                   10475:       fprintf(ficlog,"#******");
                   10476:       for(j=1;j<=cptcoveff ;j++) {/* all covariates */
                   10477:        fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); /* Here problem for varying dummy*/
                   10478:        printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10479:        fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10480:       }
                   10481:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   10482:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10483:        fprintf(ficrespl," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10484:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10485:       }
                   10486:       fprintf(ficrespl,"******\n");
                   10487:       printf("******\n");
                   10488:       fprintf(ficlog,"******\n");
                   10489:       if(invalidvarcomb[k]){
                   10490:        printf("\nCombination (%d) ignored because no case \n",k); 
                   10491:        fprintf(ficrespl,"#Combination (%d) ignored because no case \n",k); 
                   10492:        fprintf(ficlog,"\nCombination (%d) ignored because no case \n",k); 
                   10493:        continue;
                   10494:       }
1.219     brouard  10495: 
1.238     brouard  10496:       fprintf(ficrespl,"#Age ");
                   10497:       for(j=1;j<=cptcoveff;j++) {
                   10498:        fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10499:       }
                   10500:       for(i=1; i<=nlstate;i++) fprintf(ficrespl,"  %d-%d   ",i,i);
                   10501:       fprintf(ficrespl,"Total Years_to_converge\n");
1.227     brouard  10502:     
1.238     brouard  10503:       for (age=agebase; age<=agelim; age++){
                   10504:        /* for (age=agebase; age<=agebase; age++){ */
                   10505:        prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyearp, k, nres);
                   10506:        fprintf(ficrespl,"%.0f ",age );
                   10507:        for(j=1;j<=cptcoveff;j++)
                   10508:          fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10509:        tot=0.;
                   10510:        for(i=1; i<=nlstate;i++){
                   10511:          tot +=  prlim[i][i];
                   10512:          fprintf(ficrespl," %.5f", prlim[i][i]);
                   10513:        }
                   10514:        fprintf(ficrespl," %.3f %d\n", tot, *ncvyearp);
                   10515:       } /* Age */
                   10516:       /* was end of cptcod */
                   10517:     } /* cptcov */
                   10518:   } /* nres */
1.219     brouard  10519:   return 0;
1.180     brouard  10520: }
                   10521: 
1.218     brouard  10522: 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  10523:        /*--------------- Back Prevalence limit  (backward stable prevalence) --------------*/
1.218     brouard  10524:        
                   10525:        /* Computes the back prevalence limit  for any combination      of covariate values 
                   10526:    * at any age between ageminpar and agemaxpar
                   10527:         */
1.235     brouard  10528:   int i, j, k, i1, nres=0 ;
1.217     brouard  10529:   /* double ftolpl = 1.e-10; */
                   10530:   double age, agebase, agelim;
                   10531:   double tot;
1.218     brouard  10532:   /* double ***mobaverage; */
                   10533:   /* double     **dnewm, **doldm, **dsavm;  /\* for use *\/ */
1.217     brouard  10534: 
                   10535:   strcpy(fileresplb,"PLB_");
                   10536:   strcat(fileresplb,fileresu);
                   10537:   if((ficresplb=fopen(fileresplb,"w"))==NULL) {
1.288     brouard  10538:     printf("Problem with backward prevalence resultfile: %s\n", fileresplb);return 1;
                   10539:     fprintf(ficlog,"Problem with backward prevalence resultfile: %s\n", fileresplb);return 1;
1.217     brouard  10540:   }
1.288     brouard  10541:   printf("Computing backward prevalence: result on file '%s' \n", fileresplb);
                   10542:   fprintf(ficlog,"Computing backward prevalence: result on file '%s' \n", fileresplb);
1.217     brouard  10543:   pstamp(ficresplb);
1.288     brouard  10544:   fprintf(ficresplb,"# Backward prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.217     brouard  10545:   fprintf(ficresplb,"#Age ");
                   10546:   for(i=1; i<=nlstate;i++) fprintf(ficresplb,"%d-%d ",i,i);
                   10547:   fprintf(ficresplb,"\n");
                   10548:   
1.218     brouard  10549:   
                   10550:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   10551:   
                   10552:   agebase=ageminpar;
                   10553:   agelim=agemaxpar;
                   10554:   
                   10555:   
1.227     brouard  10556:   i1=pow(2,cptcoveff);
1.218     brouard  10557:   if (cptcovn < 1){i1=1;}
1.227     brouard  10558:   
1.238     brouard  10559:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   10560:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  10561:      if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10562:        continue;
                   10563:       //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   10564:       fprintf(ficresplb,"#******");
                   10565:       printf("#******");
                   10566:       fprintf(ficlog,"#******");
                   10567:       for(j=1;j<=cptcoveff ;j++) {/* all covariates */
                   10568:        fprintf(ficresplb," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10569:        printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10570:        fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10571:       }
                   10572:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   10573:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10574:        fprintf(ficresplb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10575:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10576:       }
                   10577:       fprintf(ficresplb,"******\n");
                   10578:       printf("******\n");
                   10579:       fprintf(ficlog,"******\n");
                   10580:       if(invalidvarcomb[k]){
                   10581:        printf("\nCombination (%d) ignored because no cases \n",k); 
                   10582:        fprintf(ficresplb,"#Combination (%d) ignored because no cases \n",k); 
                   10583:        fprintf(ficlog,"\nCombination (%d) ignored because no cases \n",k); 
                   10584:        continue;
                   10585:       }
1.218     brouard  10586:     
1.238     brouard  10587:       fprintf(ficresplb,"#Age ");
                   10588:       for(j=1;j<=cptcoveff;j++) {
                   10589:        fprintf(ficresplb,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10590:       }
                   10591:       for(i=1; i<=nlstate;i++) fprintf(ficresplb,"  %d-%d   ",i,i);
                   10592:       fprintf(ficresplb,"Total Years_to_converge\n");
1.218     brouard  10593:     
                   10594:     
1.238     brouard  10595:       for (age=agebase; age<=agelim; age++){
                   10596:        /* for (age=agebase; age<=agebase; age++){ */
                   10597:        if(mobilavproj > 0){
                   10598:          /* bprevalim(bprlim, mobaverage, nlstate, p, age, ageminpar, agemaxpar, oldm, savm, doldm, dsavm, ftolpl, ncvyearp, k); */
                   10599:          /* bprevalim(bprlim, mobaverage, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.242     brouard  10600:          bprevalim(bprlim, mobaverage, nlstate, p, age, ftolpl, ncvyearp, k, nres);
1.238     brouard  10601:        }else if (mobilavproj == 0){
                   10602:          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);
                   10603:          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);
                   10604:          exit(1);
                   10605:        }else{
                   10606:          /* bprevalim(bprlim, probs, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.242     brouard  10607:          bprevalim(bprlim, probs, nlstate, p, age, ftolpl, ncvyearp, k,nres);
1.266     brouard  10608:          /* printf("TOTOT\n"); */
                   10609:           /* exit(1); */
1.238     brouard  10610:        }
                   10611:        fprintf(ficresplb,"%.0f ",age );
                   10612:        for(j=1;j<=cptcoveff;j++)
                   10613:          fprintf(ficresplb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10614:        tot=0.;
                   10615:        for(i=1; i<=nlstate;i++){
                   10616:          tot +=  bprlim[i][i];
                   10617:          fprintf(ficresplb," %.5f", bprlim[i][i]);
                   10618:        }
                   10619:        fprintf(ficresplb," %.3f %d\n", tot, *ncvyearp);
                   10620:       } /* Age */
                   10621:       /* was end of cptcod */
1.255     brouard  10622:       /*fprintf(ficresplb,"\n");*/ /* Seems to be necessary for gnuplot only if two result lines and no covariate. */
1.238     brouard  10623:     } /* end of any combination */
                   10624:   } /* end of nres */  
1.218     brouard  10625:   /* hBijx(p, bage, fage); */
                   10626:   /* fclose(ficrespijb); */
                   10627:   
                   10628:   return 0;
1.217     brouard  10629: }
1.218     brouard  10630:  
1.180     brouard  10631: int hPijx(double *p, int bage, int fage){
                   10632:     /*------------- h Pij x at various ages ------------*/
                   10633: 
                   10634:   int stepsize;
                   10635:   int agelim;
                   10636:   int hstepm;
                   10637:   int nhstepm;
1.235     brouard  10638:   int h, i, i1, j, k, k4, nres=0;
1.180     brouard  10639: 
                   10640:   double agedeb;
                   10641:   double ***p3mat;
                   10642: 
1.201     brouard  10643:     strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
1.180     brouard  10644:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   10645:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   10646:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   10647:     }
                   10648:     printf("Computing pij: result on file '%s' \n", filerespij);
                   10649:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   10650:   
                   10651:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   10652:     /*if (stepm<=24) stepsize=2;*/
                   10653: 
                   10654:     agelim=AGESUP;
                   10655:     hstepm=stepsize*YEARM; /* Every year of age */
                   10656:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
1.218     brouard  10657:                
1.180     brouard  10658:     /* hstepm=1;   aff par mois*/
                   10659:     pstamp(ficrespij);
                   10660:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
1.227     brouard  10661:     i1= pow(2,cptcoveff);
1.218     brouard  10662:                /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10663:                /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   10664:                /*      k=k+1;  */
1.235     brouard  10665:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   10666:     for(k=1; k<=i1;k++){
1.253     brouard  10667:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  10668:        continue;
1.183     brouard  10669:       fprintf(ficrespij,"\n#****** ");
1.227     brouard  10670:       for(j=1;j<=cptcoveff;j++) 
1.198     brouard  10671:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  10672:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   10673:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10674:        fprintf(ficrespij," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10675:       }
1.183     brouard  10676:       fprintf(ficrespij,"******\n");
                   10677:       
                   10678:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   10679:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   10680:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   10681:        
                   10682:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  10683:        
1.183     brouard  10684:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   10685:        oldm=oldms;savm=savms;
1.235     brouard  10686:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k, nres);  
1.183     brouard  10687:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   10688:        for(i=1; i<=nlstate;i++)
                   10689:          for(j=1; j<=nlstate+ndeath;j++)
                   10690:            fprintf(ficrespij," %1d-%1d",i,j);
                   10691:        fprintf(ficrespij,"\n");
                   10692:        for (h=0; h<=nhstepm; h++){
                   10693:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   10694:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  10695:          for(i=1; i<=nlstate;i++)
                   10696:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  10697:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  10698:          fprintf(ficrespij,"\n");
                   10699:        }
1.183     brouard  10700:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   10701:        fprintf(ficrespij,"\n");
                   10702:       }
1.180     brouard  10703:       /*}*/
                   10704:     }
1.218     brouard  10705:     return 0;
1.180     brouard  10706: }
1.218     brouard  10707:  
                   10708:  int hBijx(double *p, int bage, int fage, double ***prevacurrent){
1.217     brouard  10709:     /*------------- h Bij x at various ages ------------*/
                   10710: 
                   10711:   int stepsize;
1.218     brouard  10712:   /* int agelim; */
                   10713:        int ageminl;
1.217     brouard  10714:   int hstepm;
                   10715:   int nhstepm;
1.238     brouard  10716:   int h, i, i1, j, k, nres;
1.218     brouard  10717:        
1.217     brouard  10718:   double agedeb;
                   10719:   double ***p3mat;
1.218     brouard  10720:        
                   10721:   strcpy(filerespijb,"PIJB_");  strcat(filerespijb,fileresu);
                   10722:   if((ficrespijb=fopen(filerespijb,"w"))==NULL) {
                   10723:     printf("Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   10724:     fprintf(ficlog,"Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   10725:   }
                   10726:   printf("Computing pij back: result on file '%s' \n", filerespijb);
                   10727:   fprintf(ficlog,"Computing pij back: result on file '%s' \n", filerespijb);
                   10728:   
                   10729:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   10730:   /*if (stepm<=24) stepsize=2;*/
1.217     brouard  10731:   
1.218     brouard  10732:   /* agelim=AGESUP; */
1.289     brouard  10733:   ageminl=AGEINF; /* was 30 */
1.218     brouard  10734:   hstepm=stepsize*YEARM; /* Every year of age */
                   10735:   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
                   10736:   
                   10737:   /* hstepm=1;   aff par mois*/
                   10738:   pstamp(ficrespijb);
1.255     brouard  10739:   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  10740:   i1= pow(2,cptcoveff);
1.218     brouard  10741:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10742:   /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   10743:   /*   k=k+1;  */
1.238     brouard  10744:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   10745:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  10746:       if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10747:        continue;
                   10748:       fprintf(ficrespijb,"\n#****** ");
                   10749:       for(j=1;j<=cptcoveff;j++)
                   10750:        fprintf(ficrespijb,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10751:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   10752:        fprintf(ficrespijb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10753:       }
                   10754:       fprintf(ficrespijb,"******\n");
1.264     brouard  10755:       if(invalidvarcomb[k]){  /* Is it necessary here? */
1.238     brouard  10756:        fprintf(ficrespijb,"\n#Combination (%d) ignored because no cases \n",k); 
                   10757:        continue;
                   10758:       }
                   10759:       
                   10760:       /* for (agedeb=fage; agedeb>=bage; agedeb--){ /\* If stepm=6 months *\/ */
                   10761:       for (agedeb=bage; agedeb<=fage; agedeb++){ /* If stepm=6 months and estepm=24 (2 years) */
                   10762:        /* nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /\* Typically 20 years = 20*12/6=40 *\/ */
1.297     brouard  10763:        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 */
                   10764:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10, because estepm=24 stepm=6 => hstepm=24/6=4 or 28*/
1.238     brouard  10765:        
                   10766:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
                   10767:        
1.266     brouard  10768:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); /* We can't have it at an upper level because of nhstepm */
                   10769:        /* and memory limitations if stepm is small */
                   10770: 
1.238     brouard  10771:        /* oldm=oldms;savm=savms; */
                   10772:        /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
1.267     brouard  10773:        hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm, k, nres);
1.238     brouard  10774:        /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm, dnewm, doldm, dsavm, k); */
1.255     brouard  10775:        fprintf(ficrespijb,"# Cov Agex agex-h hbijx with i,j=");
1.217     brouard  10776:        for(i=1; i<=nlstate;i++)
                   10777:          for(j=1; j<=nlstate+ndeath;j++)
1.238     brouard  10778:            fprintf(ficrespijb," %1d-%1d",i,j);
1.217     brouard  10779:        fprintf(ficrespijb,"\n");
1.238     brouard  10780:        for (h=0; h<=nhstepm; h++){
                   10781:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   10782:          fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb - h*hstepm/YEARM*stepm );
                   10783:          /* fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm ); */
                   10784:          for(i=1; i<=nlstate;i++)
                   10785:            for(j=1; j<=nlstate+ndeath;j++)
                   10786:              fprintf(ficrespijb," %.5f", p3mat[i][j][h]);
                   10787:          fprintf(ficrespijb,"\n");
                   10788:        }
                   10789:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   10790:        fprintf(ficrespijb,"\n");
                   10791:       } /* end age deb */
                   10792:     } /* end combination */
                   10793:   } /* end nres */
1.218     brouard  10794:   return 0;
                   10795:  } /*  hBijx */
1.217     brouard  10796: 
1.180     brouard  10797: 
1.136     brouard  10798: /***********************************************/
                   10799: /**************** Main Program *****************/
                   10800: /***********************************************/
                   10801: 
                   10802: int main(int argc, char *argv[])
                   10803: {
                   10804: #ifdef GSL
                   10805:   const gsl_multimin_fminimizer_type *T;
                   10806:   size_t iteri = 0, it;
                   10807:   int rval = GSL_CONTINUE;
                   10808:   int status = GSL_SUCCESS;
                   10809:   double ssval;
                   10810: #endif
                   10811:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.290     brouard  10812:   int i,j, k, iter=0,m,size=100, cptcod; /* Suppressing because nobs */
                   10813:   /* int i,j, k, n=MAXN,iter=0,m,size=100, cptcod; */
1.209     brouard  10814:   int ncvyear=0; /* Number of years needed for the period prevalence to converge */
1.164     brouard  10815:   int jj, ll, li, lj, lk;
1.136     brouard  10816:   int numlinepar=0; /* Current linenumber of parameter file */
1.197     brouard  10817:   int num_filled;
1.136     brouard  10818:   int itimes;
                   10819:   int NDIM=2;
                   10820:   int vpopbased=0;
1.235     brouard  10821:   int nres=0;
1.258     brouard  10822:   int endishere=0;
1.277     brouard  10823:   int noffset=0;
1.274     brouard  10824:   int ncurrv=0; /* Temporary variable */
                   10825:   
1.164     brouard  10826:   char ca[32], cb[32];
1.136     brouard  10827:   /*  FILE *fichtm; *//* Html File */
                   10828:   /* FILE *ficgp;*/ /*Gnuplot File */
                   10829:   struct stat info;
1.191     brouard  10830:   double agedeb=0.;
1.194     brouard  10831: 
                   10832:   double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
1.219     brouard  10833:   double ageminout=-AGEOVERFLOW,agemaxout=AGEOVERFLOW; /* Smaller Age range redefined after movingaverage */
1.136     brouard  10834: 
1.165     brouard  10835:   double fret;
1.191     brouard  10836:   double dum=0.; /* Dummy variable */
1.136     brouard  10837:   double ***p3mat;
1.218     brouard  10838:   /* double ***mobaverage; */
1.164     brouard  10839: 
                   10840:   char line[MAXLINE];
1.197     brouard  10841:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
                   10842: 
1.234     brouard  10843:   char  modeltemp[MAXLINE];
1.230     brouard  10844:   char resultline[MAXLINE];
                   10845:   
1.136     brouard  10846:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  10847:   char *tok, *val; /* pathtot */
1.290     brouard  10848:   int firstobs=1, lastobs=10; /* nobs = lastobs-firstobs declared globally ;*/
1.195     brouard  10849:   int c,  h , cpt, c2;
1.191     brouard  10850:   int jl=0;
                   10851:   int i1, j1, jk, stepsize=0;
1.194     brouard  10852:   int count=0;
                   10853: 
1.164     brouard  10854:   int *tab; 
1.136     brouard  10855:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
1.296     brouard  10856:   /* double anprojd, mprojd, jprojd; /\* For eventual projections *\/ */
                   10857:   /* double anprojf, mprojf, jprojf; */
                   10858:   /* double jintmean,mintmean,aintmean;   */
                   10859:   int prvforecast = 0; /* Might be 1 (date of beginning of projection is a choice or 2 is the dateintmean */
                   10860:   int prvbackcast = 0; /* Might be 1 (date of beginning of projection is a choice or 2 is the dateintmean */
                   10861:   double yrfproj= 10.0; /* Number of years of forward projections */
                   10862:   double yrbproj= 10.0; /* Number of years of backward projections */
                   10863:   int prevbcast=0; /* defined as global for mlikeli and mle, replacing backcast */
1.136     brouard  10864:   int mobilav=0,popforecast=0;
1.191     brouard  10865:   int hstepm=0, nhstepm=0;
1.136     brouard  10866:   int agemortsup;
                   10867:   float  sumlpop=0.;
                   10868:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   10869:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   10870: 
1.191     brouard  10871:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  10872:   double ftolpl=FTOL;
                   10873:   double **prlim;
1.217     brouard  10874:   double **bprlim;
1.136     brouard  10875:   double ***param; /* Matrix of parameters */
1.251     brouard  10876:   double ***paramstart; /* Matrix of starting parameter values */
                   10877:   double  *p, *pstart; /* p=param[1][1] pstart is for starting values guessed by freqsummary */
1.136     brouard  10878:   double **matcov; /* Matrix of covariance */
1.203     brouard  10879:   double **hess; /* Hessian matrix */
1.136     brouard  10880:   double ***delti3; /* Scale */
                   10881:   double *delti; /* Scale */
                   10882:   double ***eij, ***vareij;
                   10883:   double **varpl; /* Variances of prevalence limits by age */
1.269     brouard  10884: 
1.136     brouard  10885:   double *epj, vepp;
1.164     brouard  10886: 
1.273     brouard  10887:   double dateprev1, dateprev2;
1.296     brouard  10888:   double jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000, dateproj1=0, dateproj2=0, dateprojd=0, dateprojf=0;
                   10889:   double jback1=1,mback1=1,anback1=2000,jback2=1,mback2=1,anback2=2000, dateback1=0, dateback2=0, datebackd=0, datebackf=0;
                   10890: 
1.217     brouard  10891: 
1.136     brouard  10892:   double **ximort;
1.145     brouard  10893:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  10894:   int *dcwave;
                   10895: 
1.164     brouard  10896:   char z[1]="c";
1.136     brouard  10897: 
                   10898:   /*char  *strt;*/
                   10899:   char strtend[80];
1.126     brouard  10900: 
1.164     brouard  10901: 
1.126     brouard  10902: /*   setlocale (LC_ALL, ""); */
                   10903: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   10904: /*   textdomain (PACKAGE); */
                   10905: /*   setlocale (LC_CTYPE, ""); */
                   10906: /*   setlocale (LC_MESSAGES, ""); */
                   10907: 
                   10908:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  10909:   rstart_time = time(NULL);  
                   10910:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   10911:   start_time = *localtime(&rstart_time);
1.126     brouard  10912:   curr_time=start_time;
1.157     brouard  10913:   /*tml = *localtime(&start_time.tm_sec);*/
                   10914:   /* strcpy(strstart,asctime(&tml)); */
                   10915:   strcpy(strstart,asctime(&start_time));
1.126     brouard  10916: 
                   10917: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  10918: /*  tp.tm_sec = tp.tm_sec +86400; */
                   10919: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  10920: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   10921: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   10922: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  10923: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  10924: /*   strt=asctime(&tmg); */
                   10925: /*   printf("Time(after) =%s",strstart);  */
                   10926: /*  (void) time (&time_value);
                   10927: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   10928: *  tm = *localtime(&time_value);
                   10929: *  strstart=asctime(&tm);
                   10930: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   10931: */
                   10932: 
                   10933:   nberr=0; /* Number of errors and warnings */
                   10934:   nbwarn=0;
1.184     brouard  10935: #ifdef WIN32
                   10936:   _getcwd(pathcd, size);
                   10937: #else
1.126     brouard  10938:   getcwd(pathcd, size);
1.184     brouard  10939: #endif
1.191     brouard  10940:   syscompilerinfo(0);
1.196     brouard  10941:   printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
1.126     brouard  10942:   if(argc <=1){
                   10943:     printf("\nEnter the parameter file name: ");
1.205     brouard  10944:     if(!fgets(pathr,FILENAMELENGTH,stdin)){
                   10945:       printf("ERROR Empty parameter file name\n");
                   10946:       goto end;
                   10947:     }
1.126     brouard  10948:     i=strlen(pathr);
                   10949:     if(pathr[i-1]=='\n')
                   10950:       pathr[i-1]='\0';
1.156     brouard  10951:     i=strlen(pathr);
1.205     brouard  10952:     if(i >= 1 && pathr[i-1]==' ') {/* This may happen when dragging on oS/X! */
1.156     brouard  10953:       pathr[i-1]='\0';
1.205     brouard  10954:     }
                   10955:     i=strlen(pathr);
                   10956:     if( i==0 ){
                   10957:       printf("ERROR Empty parameter file name\n");
                   10958:       goto end;
                   10959:     }
                   10960:     for (tok = pathr; tok != NULL; ){
1.126     brouard  10961:       printf("Pathr |%s|\n",pathr);
                   10962:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   10963:       printf("val= |%s| pathr=%s\n",val,pathr);
                   10964:       strcpy (pathtot, val);
                   10965:       if(pathr[0] == '\0') break; /* Dirty */
                   10966:     }
                   10967:   }
1.281     brouard  10968:   else if (argc<=2){
                   10969:     strcpy(pathtot,argv[1]);
                   10970:   }
1.126     brouard  10971:   else{
                   10972:     strcpy(pathtot,argv[1]);
1.281     brouard  10973:     strcpy(z,argv[2]);
                   10974:     printf("\nargv[2]=%s z=%c\n",argv[2],z[0]);
1.126     brouard  10975:   }
                   10976:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   10977:   /*cygwin_split_path(pathtot,path,optionfile);
                   10978:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   10979:   /* cutv(path,optionfile,pathtot,'\\');*/
                   10980: 
                   10981:   /* Split argv[0], imach program to get pathimach */
                   10982:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   10983:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   10984:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   10985:  /*   strcpy(pathimach,argv[0]); */
                   10986:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   10987:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   10988:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  10989: #ifdef WIN32
                   10990:   _chdir(path); /* Can be a relative path */
                   10991:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   10992: #else
1.126     brouard  10993:   chdir(path); /* Can be a relative path */
1.184     brouard  10994:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   10995: #endif
                   10996:   printf("Current directory %s!\n",pathcd);
1.126     brouard  10997:   strcpy(command,"mkdir ");
                   10998:   strcat(command,optionfilefiname);
                   10999:   if((outcmd=system(command)) != 0){
1.169     brouard  11000:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  11001:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   11002:     /* fclose(ficlog); */
                   11003: /*     exit(1); */
                   11004:   }
                   11005: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   11006: /*     perror("mkdir"); */
                   11007: /*   } */
                   11008: 
                   11009:   /*-------- arguments in the command line --------*/
                   11010: 
1.186     brouard  11011:   /* Main Log file */
1.126     brouard  11012:   strcat(filelog, optionfilefiname);
                   11013:   strcat(filelog,".log");    /* */
                   11014:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   11015:     printf("Problem with logfile %s\n",filelog);
                   11016:     goto end;
                   11017:   }
                   11018:   fprintf(ficlog,"Log filename:%s\n",filelog);
1.197     brouard  11019:   fprintf(ficlog,"Version %s %s",version,fullversion);
1.126     brouard  11020:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   11021:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   11022:  path=%s \n\
                   11023:  optionfile=%s\n\
                   11024:  optionfilext=%s\n\
1.156     brouard  11025:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  11026: 
1.197     brouard  11027:   syscompilerinfo(1);
1.167     brouard  11028: 
1.126     brouard  11029:   printf("Local time (at start):%s",strstart);
                   11030:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   11031:   fflush(ficlog);
                   11032: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  11033: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  11034: 
                   11035:   /* */
                   11036:   strcpy(fileres,"r");
                   11037:   strcat(fileres, optionfilefiname);
1.201     brouard  11038:   strcat(fileresu, optionfilefiname); /* Without r in front */
1.126     brouard  11039:   strcat(fileres,".txt");    /* Other files have txt extension */
1.201     brouard  11040:   strcat(fileresu,".txt");    /* Other files have txt extension */
1.126     brouard  11041: 
1.186     brouard  11042:   /* Main ---------arguments file --------*/
1.126     brouard  11043: 
                   11044:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  11045:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   11046:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  11047:     fflush(ficlog);
1.149     brouard  11048:     /* goto end; */
                   11049:     exit(70); 
1.126     brouard  11050:   }
                   11051: 
                   11052:   strcpy(filereso,"o");
1.201     brouard  11053:   strcat(filereso,fileresu);
1.126     brouard  11054:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   11055:     printf("Problem with Output resultfile: %s\n", filereso);
                   11056:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   11057:     fflush(ficlog);
                   11058:     goto end;
                   11059:   }
1.278     brouard  11060:       /*-------- Rewriting parameter file ----------*/
                   11061:   strcpy(rfileres,"r");    /* "Rparameterfile */
                   11062:   strcat(rfileres,optionfilefiname);    /* Parameter file first name */
                   11063:   strcat(rfileres,".");    /* */
                   11064:   strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   11065:   if((ficres =fopen(rfileres,"w"))==NULL) {
                   11066:     printf("Problem writing new parameter file: %s\n", rfileres);goto end;
                   11067:     fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
                   11068:     fflush(ficlog);
                   11069:     goto end;
                   11070:   }
                   11071:   fprintf(ficres,"#IMaCh %s\n",version);
1.126     brouard  11072: 
1.278     brouard  11073:                                      
1.126     brouard  11074:   /* Reads comments: lines beginning with '#' */
                   11075:   numlinepar=0;
1.277     brouard  11076:   /* Is it a BOM UTF-8 Windows file? */
                   11077:   /* First parameter line */
1.197     brouard  11078:   while(fgets(line, MAXLINE, ficpar)) {
1.277     brouard  11079:     noffset=0;
                   11080:     if( line[0] == (char)0xEF && line[1] == (char)0xBB) /* EF BB BF */
                   11081:     {
                   11082:       noffset=noffset+3;
                   11083:       printf("# File is an UTF8 Bom.\n"); // 0xBF
                   11084:     }
                   11085:     else if( line[0] == (char)0xFE && line[1] == (char)0xFF)
                   11086:     {
                   11087:       noffset=noffset+2;
                   11088:       printf("# File is an UTF16BE BOM file\n");
                   11089:     }
                   11090:     else if( line[0] == 0 && line[1] == 0)
                   11091:     {
                   11092:       if( line[2] == (char)0xFE && line[3] == (char)0xFF){
                   11093:        noffset=noffset+4;
                   11094:        printf("# File is an UTF16BE BOM file\n");
                   11095:       }
                   11096:     } else{
                   11097:       ;/*printf(" Not a BOM file\n");*/
                   11098:     }
                   11099:   
1.197     brouard  11100:     /* If line starts with a # it is a comment */
1.277     brouard  11101:     if (line[noffset] == '#') {
1.197     brouard  11102:       numlinepar++;
                   11103:       fputs(line,stdout);
                   11104:       fputs(line,ficparo);
1.278     brouard  11105:       fputs(line,ficres);
1.197     brouard  11106:       fputs(line,ficlog);
                   11107:       continue;
                   11108:     }else
                   11109:       break;
                   11110:   }
                   11111:   if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                   11112:                        title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
                   11113:     if (num_filled != 5) {
                   11114:       printf("Should be 5 parameters\n");
1.283     brouard  11115:       fprintf(ficlog,"Should be 5 parameters\n");
1.197     brouard  11116:     }
1.126     brouard  11117:     numlinepar++;
1.197     brouard  11118:     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
1.283     brouard  11119:     fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   11120:     fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   11121:     fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
1.197     brouard  11122:   }
                   11123:   /* Second parameter line */
                   11124:   while(fgets(line, MAXLINE, ficpar)) {
1.283     brouard  11125:     /* while(fscanf(ficpar,"%[^\n]", line)) { */
                   11126:     /* If line starts with a # it is a comment. Strangely fgets reads the EOL and fputs doesn't */
1.197     brouard  11127:     if (line[0] == '#') {
                   11128:       numlinepar++;
1.283     brouard  11129:       printf("%s",line);
                   11130:       fprintf(ficres,"%s",line);
                   11131:       fprintf(ficparo,"%s",line);
                   11132:       fprintf(ficlog,"%s",line);
1.197     brouard  11133:       continue;
                   11134:     }else
                   11135:       break;
                   11136:   }
1.223     brouard  11137:   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", \
                   11138:                        &ftol, &stepm, &ncovcol, &nqv, &ntv, &nqtv, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
                   11139:     if (num_filled != 11) {
                   11140:       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  11141:       printf("but line=%s\n",line);
1.283     brouard  11142:       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");
                   11143:       fprintf(ficlog,"but line=%s\n",line);
1.197     brouard  11144:     }
1.286     brouard  11145:     if( lastpass > maxwav){
                   11146:       printf("Error (lastpass = %d) > (maxwav = %d)\n",lastpass, maxwav);
                   11147:       fprintf(ficlog,"Error (lastpass = %d) > (maxwav = %d)\n",lastpass, maxwav);
                   11148:       fflush(ficlog);
                   11149:       goto end;
                   11150:     }
                   11151:       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  11152:     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  11153:     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  11154:     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  11155:   }
1.203     brouard  11156:   /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
1.209     brouard  11157:   /*ftolpl=6.e-4; *//* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
1.197     brouard  11158:   /* Third parameter line */
                   11159:   while(fgets(line, MAXLINE, ficpar)) {
                   11160:     /* If line starts with a # it is a comment */
                   11161:     if (line[0] == '#') {
                   11162:       numlinepar++;
1.283     brouard  11163:       printf("%s",line);
                   11164:       fprintf(ficres,"%s",line);
                   11165:       fprintf(ficparo,"%s",line);
                   11166:       fprintf(ficlog,"%s",line);
1.197     brouard  11167:       continue;
                   11168:     }else
                   11169:       break;
                   11170:   }
1.201     brouard  11171:   if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){
1.279     brouard  11172:     if (num_filled != 1){
                   11173:       printf("ERROR %d: Model should be at minimum 'model=1+age' %s\n",num_filled, line);
                   11174:       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age' %s\n",num_filled, line);
1.197     brouard  11175:       model[0]='\0';
                   11176:       goto end;
                   11177:     }
                   11178:     else{
                   11179:       if (model[0]=='+'){
                   11180:        for(i=1; i<=strlen(model);i++)
                   11181:          modeltemp[i-1]=model[i];
1.201     brouard  11182:        strcpy(model,modeltemp); 
1.197     brouard  11183:       }
                   11184:     }
1.199     brouard  11185:     /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
1.203     brouard  11186:     printf("model=1+age+%s\n",model);fflush(stdout);
1.283     brouard  11187:     fprintf(ficparo,"model=1+age+%s\n",model);fflush(stdout);
                   11188:     fprintf(ficres,"model=1+age+%s\n",model);fflush(stdout);
                   11189:     fprintf(ficlog,"model=1+age+%s\n",model);fflush(stdout);
1.197     brouard  11190:   }
                   11191:   /* 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); */
                   11192:   /* numlinepar=numlinepar+3; /\* In general *\/ */
                   11193:   /* 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  11194:   /* 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); */
                   11195:   /* 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  11196:   fflush(ficlog);
1.190     brouard  11197:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   11198:   if(model[0]=='#'){
1.279     brouard  11199:     printf("Error in 'model' line: model should start with 'model=1+age+' and end without space \n \
                   11200:  'model=1+age+' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age' or \n \
                   11201:  'model=1+age+V1+V2' or 'model=1+age+V1+V2+V1*V2' etc. \n");           \
1.187     brouard  11202:     if(mle != -1){
1.279     brouard  11203:       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  11204:       exit(1);
                   11205:     }
                   11206:   }
1.126     brouard  11207:   while((c=getc(ficpar))=='#' && c!= EOF){
                   11208:     ungetc(c,ficpar);
                   11209:     fgets(line, MAXLINE, ficpar);
                   11210:     numlinepar++;
1.195     brouard  11211:     if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
                   11212:       z[0]=line[1];
                   11213:     }
                   11214:     /* printf("****line [1] = %c \n",line[1]); */
1.141     brouard  11215:     fputs(line, stdout);
                   11216:     //puts(line);
1.126     brouard  11217:     fputs(line,ficparo);
                   11218:     fputs(line,ficlog);
                   11219:   }
                   11220:   ungetc(c,ficpar);
                   11221: 
                   11222:    
1.290     brouard  11223:   covar=matrix(0,NCOVMAX,firstobs,lastobs);  /**< used in readdata */
                   11224:   if(nqv>=1)coqvar=matrix(1,nqv,firstobs,lastobs);  /**< Fixed quantitative covariate */
                   11225:   if(nqtv>=1)cotqvar=ma3x(1,maxwav,1,nqtv,firstobs,lastobs);  /**< Time varying quantitative covariate */
                   11226:   if(ntv+nqtv>=1)cotvar=ma3x(1,maxwav,1,ntv+nqtv,firstobs,lastobs);  /**< Time varying covariate (dummy and quantitative)*/
1.136     brouard  11227:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   11228:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   11229:      v1+v2*age+v2*v3 makes cptcovn = 3
                   11230:   */
                   11231:   if (strlen(model)>1) 
1.187     brouard  11232:     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  11233:   else
1.187     brouard  11234:     ncovmodel=2; /* Constant and age */
1.133     brouard  11235:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   11236:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  11237:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   11238:     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);
                   11239:     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);
                   11240:     fflush(stdout);
                   11241:     fclose (ficlog);
                   11242:     goto end;
                   11243:   }
1.126     brouard  11244:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   11245:   delti=delti3[1][1];
                   11246:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   11247:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
1.247     brouard  11248: /* We could also provide initial parameters values giving by simple logistic regression 
                   11249:  * only one way, that is without matrix product. We will have nlstate maximizations */
                   11250:       /* for(i=1;i<nlstate;i++){ */
                   11251:       /*       /\*reducing xi for 1 to npar to 1 to ncovmodel; *\/ */
                   11252:       /*    mlikeli(ficres,p, ncovmodel, ncovmodel, nlstate, ftol, funcnoprod); */
                   11253:       /* } */
1.126     brouard  11254:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191     brouard  11255:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
                   11256:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  11257:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   11258:     fclose (ficparo);
                   11259:     fclose (ficlog);
                   11260:     goto end;
                   11261:     exit(0);
1.220     brouard  11262:   }  else if(mle==-5) { /* Main Wizard */
1.126     brouard  11263:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.192     brouard  11264:     printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   11265:     fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  11266:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   11267:     matcov=matrix(1,npar,1,npar);
1.203     brouard  11268:     hess=matrix(1,npar,1,npar);
1.220     brouard  11269:   }  else{ /* Begin of mle != -1 or -5 */
1.145     brouard  11270:     /* Read guessed parameters */
1.126     brouard  11271:     /* Reads comments: lines beginning with '#' */
                   11272:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11273:       ungetc(c,ficpar);
                   11274:       fgets(line, MAXLINE, ficpar);
                   11275:       numlinepar++;
1.141     brouard  11276:       fputs(line,stdout);
1.126     brouard  11277:       fputs(line,ficparo);
                   11278:       fputs(line,ficlog);
                   11279:     }
                   11280:     ungetc(c,ficpar);
                   11281:     
                   11282:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
1.251     brouard  11283:     paramstart= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
1.126     brouard  11284:     for(i=1; i <=nlstate; i++){
1.234     brouard  11285:       j=0;
1.126     brouard  11286:       for(jj=1; jj <=nlstate+ndeath; jj++){
1.234     brouard  11287:        if(jj==i) continue;
                   11288:        j++;
1.292     brouard  11289:        while((c=getc(ficpar))=='#' && c!= EOF){
                   11290:          ungetc(c,ficpar);
                   11291:          fgets(line, MAXLINE, ficpar);
                   11292:          numlinepar++;
                   11293:          fputs(line,stdout);
                   11294:          fputs(line,ficparo);
                   11295:          fputs(line,ficlog);
                   11296:        }
                   11297:        ungetc(c,ficpar);
1.234     brouard  11298:        fscanf(ficpar,"%1d%1d",&i1,&j1);
                   11299:        if ((i1 != i) || (j1 != jj)){
                   11300:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
1.126     brouard  11301: It might be a problem of design; if ncovcol and the model are correct\n \
                   11302: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
1.234     brouard  11303:          exit(1);
                   11304:        }
                   11305:        fprintf(ficparo,"%1d%1d",i1,j1);
                   11306:        if(mle==1)
                   11307:          printf("%1d%1d",i,jj);
                   11308:        fprintf(ficlog,"%1d%1d",i,jj);
                   11309:        for(k=1; k<=ncovmodel;k++){
                   11310:          fscanf(ficpar," %lf",&param[i][j][k]);
                   11311:          if(mle==1){
                   11312:            printf(" %lf",param[i][j][k]);
                   11313:            fprintf(ficlog," %lf",param[i][j][k]);
                   11314:          }
                   11315:          else
                   11316:            fprintf(ficlog," %lf",param[i][j][k]);
                   11317:          fprintf(ficparo," %lf",param[i][j][k]);
                   11318:        }
                   11319:        fscanf(ficpar,"\n");
                   11320:        numlinepar++;
                   11321:        if(mle==1)
                   11322:          printf("\n");
                   11323:        fprintf(ficlog,"\n");
                   11324:        fprintf(ficparo,"\n");
1.126     brouard  11325:       }
                   11326:     }  
                   11327:     fflush(ficlog);
1.234     brouard  11328:     
1.251     brouard  11329:     /* Reads parameters values */
1.126     brouard  11330:     p=param[1][1];
1.251     brouard  11331:     pstart=paramstart[1][1];
1.126     brouard  11332:     
                   11333:     /* Reads comments: lines beginning with '#' */
                   11334:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11335:       ungetc(c,ficpar);
                   11336:       fgets(line, MAXLINE, ficpar);
                   11337:       numlinepar++;
1.141     brouard  11338:       fputs(line,stdout);
1.126     brouard  11339:       fputs(line,ficparo);
                   11340:       fputs(line,ficlog);
                   11341:     }
                   11342:     ungetc(c,ficpar);
                   11343: 
                   11344:     for(i=1; i <=nlstate; i++){
                   11345:       for(j=1; j <=nlstate+ndeath-1; j++){
1.234     brouard  11346:        fscanf(ficpar,"%1d%1d",&i1,&j1);
                   11347:        if ( (i1-i) * (j1-j) != 0){
                   11348:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   11349:          exit(1);
                   11350:        }
                   11351:        printf("%1d%1d",i,j);
                   11352:        fprintf(ficparo,"%1d%1d",i1,j1);
                   11353:        fprintf(ficlog,"%1d%1d",i1,j1);
                   11354:        for(k=1; k<=ncovmodel;k++){
                   11355:          fscanf(ficpar,"%le",&delti3[i][j][k]);
                   11356:          printf(" %le",delti3[i][j][k]);
                   11357:          fprintf(ficparo," %le",delti3[i][j][k]);
                   11358:          fprintf(ficlog," %le",delti3[i][j][k]);
                   11359:        }
                   11360:        fscanf(ficpar,"\n");
                   11361:        numlinepar++;
                   11362:        printf("\n");
                   11363:        fprintf(ficparo,"\n");
                   11364:        fprintf(ficlog,"\n");
1.126     brouard  11365:       }
                   11366:     }
                   11367:     fflush(ficlog);
1.234     brouard  11368:     
1.145     brouard  11369:     /* Reads covariance matrix */
1.126     brouard  11370:     delti=delti3[1][1];
1.220     brouard  11371:                
                   11372:                
1.126     brouard  11373:     /* 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  11374:                
1.126     brouard  11375:     /* Reads comments: lines beginning with '#' */
                   11376:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11377:       ungetc(c,ficpar);
                   11378:       fgets(line, MAXLINE, ficpar);
                   11379:       numlinepar++;
1.141     brouard  11380:       fputs(line,stdout);
1.126     brouard  11381:       fputs(line,ficparo);
                   11382:       fputs(line,ficlog);
                   11383:     }
                   11384:     ungetc(c,ficpar);
1.220     brouard  11385:                
1.126     brouard  11386:     matcov=matrix(1,npar,1,npar);
1.203     brouard  11387:     hess=matrix(1,npar,1,npar);
1.131     brouard  11388:     for(i=1; i <=npar; i++)
                   11389:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
1.220     brouard  11390:                
1.194     brouard  11391:     /* Scans npar lines */
1.126     brouard  11392:     for(i=1; i <=npar; i++){
1.226     brouard  11393:       count=fscanf(ficpar,"%1d%1d%d",&i1,&j1,&jk);
1.194     brouard  11394:       if(count != 3){
1.226     brouard  11395:        printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  11396: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   11397: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  11398:        fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  11399: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   11400: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  11401:        exit(1);
1.220     brouard  11402:       }else{
1.226     brouard  11403:        if(mle==1)
                   11404:          printf("%1d%1d%d",i1,j1,jk);
                   11405:       }
                   11406:       fprintf(ficlog,"%1d%1d%d",i1,j1,jk);
                   11407:       fprintf(ficparo,"%1d%1d%d",i1,j1,jk);
1.126     brouard  11408:       for(j=1; j <=i; j++){
1.226     brouard  11409:        fscanf(ficpar," %le",&matcov[i][j]);
                   11410:        if(mle==1){
                   11411:          printf(" %.5le",matcov[i][j]);
                   11412:        }
                   11413:        fprintf(ficlog," %.5le",matcov[i][j]);
                   11414:        fprintf(ficparo," %.5le",matcov[i][j]);
1.126     brouard  11415:       }
                   11416:       fscanf(ficpar,"\n");
                   11417:       numlinepar++;
                   11418:       if(mle==1)
1.220     brouard  11419:                                printf("\n");
1.126     brouard  11420:       fprintf(ficlog,"\n");
                   11421:       fprintf(ficparo,"\n");
                   11422:     }
1.194     brouard  11423:     /* End of read covariance matrix npar lines */
1.126     brouard  11424:     for(i=1; i <=npar; i++)
                   11425:       for(j=i+1;j<=npar;j++)
1.226     brouard  11426:        matcov[i][j]=matcov[j][i];
1.126     brouard  11427:     
                   11428:     if(mle==1)
                   11429:       printf("\n");
                   11430:     fprintf(ficlog,"\n");
                   11431:     
                   11432:     fflush(ficlog);
                   11433:     
                   11434:   }    /* End of mle != -3 */
1.218     brouard  11435:   
1.186     brouard  11436:   /*  Main data
                   11437:    */
1.290     brouard  11438:   nobs=lastobs-firstobs+1; /* was = lastobs;*/
                   11439:   /* num=lvector(1,n); */
                   11440:   /* moisnais=vector(1,n); */
                   11441:   /* annais=vector(1,n); */
                   11442:   /* moisdc=vector(1,n); */
                   11443:   /* andc=vector(1,n); */
                   11444:   /* weight=vector(1,n); */
                   11445:   /* agedc=vector(1,n); */
                   11446:   /* cod=ivector(1,n); */
                   11447:   /* for(i=1;i<=n;i++){ */
                   11448:   num=lvector(firstobs,lastobs);
                   11449:   moisnais=vector(firstobs,lastobs);
                   11450:   annais=vector(firstobs,lastobs);
                   11451:   moisdc=vector(firstobs,lastobs);
                   11452:   andc=vector(firstobs,lastobs);
                   11453:   weight=vector(firstobs,lastobs);
                   11454:   agedc=vector(firstobs,lastobs);
                   11455:   cod=ivector(firstobs,lastobs);
                   11456:   for(i=firstobs;i<=lastobs;i++){
1.234     brouard  11457:     num[i]=0;
                   11458:     moisnais[i]=0;
                   11459:     annais[i]=0;
                   11460:     moisdc[i]=0;
                   11461:     andc[i]=0;
                   11462:     agedc[i]=0;
                   11463:     cod[i]=0;
                   11464:     weight[i]=1.0; /* Equal weights, 1 by default */
                   11465:   }
1.290     brouard  11466:   mint=matrix(1,maxwav,firstobs,lastobs);
                   11467:   anint=matrix(1,maxwav,firstobs,lastobs);
                   11468:   s=imatrix(1,maxwav+1,firstobs,lastobs); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  11469:   tab=ivector(1,NCOVMAX);
1.144     brouard  11470:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.192     brouard  11471:   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  11472: 
1.136     brouard  11473:   /* Reads data from file datafile */
                   11474:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   11475:     goto end;
                   11476: 
                   11477:   /* Calculation of the number of parameters from char model */
1.234     brouard  11478:   /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
1.137     brouard  11479:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   11480:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   11481:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   11482:        k=1 Tvar[1]=2 (from V2)
1.234     brouard  11483:   */
                   11484:   
                   11485:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
                   11486:   TvarsDind=ivector(1,NCOVMAX); /*  */
                   11487:   TvarsD=ivector(1,NCOVMAX); /*  */
                   11488:   TvarsQind=ivector(1,NCOVMAX); /*  */
                   11489:   TvarsQ=ivector(1,NCOVMAX); /*  */
1.232     brouard  11490:   TvarF=ivector(1,NCOVMAX); /*  */
                   11491:   TvarFind=ivector(1,NCOVMAX); /*  */
                   11492:   TvarV=ivector(1,NCOVMAX); /*  */
                   11493:   TvarVind=ivector(1,NCOVMAX); /*  */
                   11494:   TvarA=ivector(1,NCOVMAX); /*  */
                   11495:   TvarAind=ivector(1,NCOVMAX); /*  */
1.231     brouard  11496:   TvarFD=ivector(1,NCOVMAX); /*  */
                   11497:   TvarFDind=ivector(1,NCOVMAX); /*  */
                   11498:   TvarFQ=ivector(1,NCOVMAX); /*  */
                   11499:   TvarFQind=ivector(1,NCOVMAX); /*  */
                   11500:   TvarVD=ivector(1,NCOVMAX); /*  */
                   11501:   TvarVDind=ivector(1,NCOVMAX); /*  */
                   11502:   TvarVQ=ivector(1,NCOVMAX); /*  */
                   11503:   TvarVQind=ivector(1,NCOVMAX); /*  */
                   11504: 
1.230     brouard  11505:   Tvalsel=vector(1,NCOVMAX); /*  */
1.233     brouard  11506:   Tvarsel=ivector(1,NCOVMAX); /*  */
1.226     brouard  11507:   Typevar=ivector(-1,NCOVMAX); /* -1 to 2 */
                   11508:   Fixed=ivector(-1,NCOVMAX); /* -1 to 3 */
                   11509:   Dummy=ivector(-1,NCOVMAX); /* -1 to 3 */
1.137     brouard  11510:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   11511:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   11512:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   11513:   */
                   11514:   /* For model-covariate k tells which data-covariate to use but
                   11515:     because this model-covariate is a construction we invent a new column
                   11516:     ncovcol + k1
                   11517:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   11518:     Tvar[3=V1*V4]=4+1 etc */
1.227     brouard  11519:   Tprod=ivector(1,NCOVMAX); /* Gives the k position of the k1 product */
                   11520:   Tposprod=ivector(1,NCOVMAX); /* Gives the k1 product from the k position */
1.137     brouard  11521:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   11522:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
1.227     brouard  11523:      Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5]=2 
1.137     brouard  11524:   */
1.145     brouard  11525:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   11526:   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  11527:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   11528:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  11529:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  11530:                         4 covariates (3 plus signs)
                   11531:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   11532:                      */  
1.230     brouard  11533:   Tmodelind=ivector(1,NCOVMAX);/** gives the k model position of an
1.227     brouard  11534:                                * individual dummy, fixed or varying:
                   11535:                                * Tmodelind[Tvaraff[3]]=9,Tvaraff[1]@9={4,
                   11536:                                * 3, 1, 0, 0, 0, 0, 0, 0},
1.230     brouard  11537:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 , 
                   11538:                                * V1 df, V2 qf, V3 & V4 dv, V5 qv
                   11539:                                * Tmodelind[1]@9={9,0,3,2,}*/
                   11540:   TmodelInvind=ivector(1,NCOVMAX); /* TmodelInvind=Tvar[k]- ncovcol-nqv={5-2-1=2,*/
                   11541:   TmodelInvQind=ivector(1,NCOVMAX);/** gives the k model position of an
1.228     brouard  11542:                                * individual quantitative, fixed or varying:
                   11543:                                * Tmodelqind[1]=1,Tvaraff[1]@9={4,
                   11544:                                * 3, 1, 0, 0, 0, 0, 0, 0},
                   11545:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
1.186     brouard  11546: /* Main decodemodel */
                   11547: 
1.187     brouard  11548: 
1.223     brouard  11549:   if(decodemodel(model, lastobs) == 1) /* In order to get Tvar[k] V4+V3+V5 p Tvar[1]@3  = {4, 3, 5}*/
1.136     brouard  11550:     goto end;
                   11551: 
1.137     brouard  11552:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   11553:     nbwarn++;
                   11554:     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); 
                   11555:     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); 
                   11556:   }
1.136     brouard  11557:     /*  if(mle==1){*/
1.137     brouard  11558:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   11559:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  11560:   }
                   11561: 
                   11562:     /*-calculation of age at interview from date of interview and age at death -*/
                   11563:   agev=matrix(1,maxwav,1,imx);
                   11564: 
                   11565:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   11566:     goto end;
                   11567: 
1.126     brouard  11568: 
1.136     brouard  11569:   agegomp=(int)agemin;
1.290     brouard  11570:   free_vector(moisnais,firstobs,lastobs);
                   11571:   free_vector(annais,firstobs,lastobs);
1.126     brouard  11572:   /* free_matrix(mint,1,maxwav,1,n);
                   11573:      free_matrix(anint,1,maxwav,1,n);*/
1.215     brouard  11574:   /* free_vector(moisdc,1,n); */
                   11575:   /* free_vector(andc,1,n); */
1.145     brouard  11576:   /* */
                   11577:   
1.126     brouard  11578:   wav=ivector(1,imx);
1.214     brouard  11579:   /* dh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11580:   /* bh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11581:   /* mw=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11582:   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.*/
                   11583:   bh=imatrix(1,lastpass-firstpass+2,1,imx);
                   11584:   mw=imatrix(1,lastpass-firstpass+2,1,imx);
1.126     brouard  11585:    
                   11586:   /* Concatenates waves */
1.214     brouard  11587:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   11588:      Death is a valid wave (if date is known).
                   11589:      mw[mi][i] is the number of (mi=1 to wav[i]) effective wave out of mi of individual i
                   11590:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   11591:      and mw[mi+1][i]. dh depends on stepm.
                   11592:   */
                   11593: 
1.126     brouard  11594:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.248     brouard  11595:   /* Concatenates waves */
1.145     brouard  11596:  
1.290     brouard  11597:   free_vector(moisdc,firstobs,lastobs);
                   11598:   free_vector(andc,firstobs,lastobs);
1.215     brouard  11599: 
1.126     brouard  11600:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   11601:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   11602:   ncodemax[1]=1;
1.145     brouard  11603:   Ndum =ivector(-1,NCOVMAX);  
1.225     brouard  11604:   cptcoveff=0;
1.220     brouard  11605:   if (ncovmodel-nagesqr > 2 ){ /* That is if covariate other than cst, age and age*age */
                   11606:     tricode(&cptcoveff,Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
1.227     brouard  11607:   }
                   11608:   
                   11609:   ncovcombmax=pow(2,cptcoveff);
                   11610:   invalidvarcomb=ivector(1, ncovcombmax); 
                   11611:   for(i=1;i<ncovcombmax;i++)
                   11612:     invalidvarcomb[i]=0;
                   11613:   
1.211     brouard  11614:   /* Nbcode gives the value of the lth modality (currently 1 to 2) of jth covariate, in
1.186     brouard  11615:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
1.211     brouard  11616:   /* 1 to ncodemax[j] which is the maximum value of this jth covariate */
1.227     brouard  11617:   
1.200     brouard  11618:   /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
1.198     brouard  11619:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
1.186     brouard  11620:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.211     brouard  11621:   /* nbcode[Tvaraff[j]][codtabm(h,j)]) : if there are only 2 modalities for a covariate j, 
                   11622:    * codtabm(h,j) gives its value classified at position h and nbcode gives how it is coded 
                   11623:    * (currently 0 or 1) in the data.
                   11624:    * In a loop on h=1 to 2**k, and a loop on j (=1 to k), we get the value of 
                   11625:    * corresponding modality (h,j).
                   11626:    */
                   11627: 
1.145     brouard  11628:   h=0;
                   11629:   /*if (cptcovn > 0) */
1.126     brouard  11630:   m=pow(2,cptcoveff);
                   11631:  
1.144     brouard  11632:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.211     brouard  11633:           * For k=4 covariates, h goes from 1 to m=2**k
                   11634:           * codtabm(h,k)=  (1 & (h-1) >> (k-1)) + 1;
                   11635:            * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.186     brouard  11636:           *     h\k   1     2     3     4
1.143     brouard  11637:           *______________________________  
                   11638:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   11639:           *     2     2     1     1     1
                   11640:           *     3 i=2 1     2     1     1
                   11641:           *     4     2     2     1     1
                   11642:           *     5 i=3 1 i=2 1     2     1
                   11643:           *     6     2     1     2     1
                   11644:           *     7 i=4 1     2     2     1
                   11645:           *     8     2     2     2     1
1.197     brouard  11646:           *     9 i=5 1 i=3 1 i=2 1     2
                   11647:           *    10     2     1     1     2
                   11648:           *    11 i=6 1     2     1     2
                   11649:           *    12     2     2     1     2
                   11650:           *    13 i=7 1 i=4 1     2     2    
                   11651:           *    14     2     1     2     2
                   11652:           *    15 i=8 1     2     2     2
                   11653:           *    16     2     2     2     2
1.143     brouard  11654:           */
1.212     brouard  11655:   /* How to do the opposite? From combination h (=1 to 2**k) how to get the value on the covariates? */
1.211     brouard  11656:      /* from h=5 and m, we get then number of covariates k=log(m)/log(2)=4
                   11657:      * and the value of each covariate?
                   11658:      * V1=1, V2=1, V3=2, V4=1 ?
                   11659:      * h-1=4 and 4 is 0100 or reverse 0010, and +1 is 1121 ok.
                   11660:      * h=6, 6-1=5, 5 is 0101, 1010, 2121, V1=2nd, V2=1st, V3=2nd, V4=1st.
                   11661:      * In order to get the real value in the data, we use nbcode
                   11662:      * nbcode[Tvar[3][2nd]]=1 and nbcode[Tvar[4][1]]=0
                   11663:      * We are keeping this crazy system in order to be able (in the future?) 
                   11664:      * to have more than 2 values (0 or 1) for a covariate.
                   11665:      * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
                   11666:      * h=6, k=2? h-1=5=0101, reverse 1010, +1=2121, k=2nd position: value is 1: codtabm(6,2)=1
                   11667:      *              bbbbbbbb
                   11668:      *              76543210     
                   11669:      *   h-1        00000101 (6-1=5)
1.219     brouard  11670:      *(h-1)>>(k-1)= 00000010 >> (2-1) = 1 right shift
1.211     brouard  11671:      *           &
                   11672:      *     1        00000001 (1)
1.219     brouard  11673:      *              00000000        = 1 & ((h-1) >> (k-1))
                   11674:      *          +1= 00000001 =1 
1.211     brouard  11675:      *
                   11676:      * h=14, k=3 => h'=h-1=13, k'=k-1=2
                   11677:      *          h'      1101 =2^3+2^2+0x2^1+2^0
                   11678:      *    >>k'            11
                   11679:      *          &   00000001
                   11680:      *            = 00000001
                   11681:      *      +1    = 00000010=2    =  codtabm(14,3)   
                   11682:      * Reverse h=6 and m=16?
                   11683:      * cptcoveff=log(16)/log(2)=4 covariate: 6-1=5=0101 reversed=1010 +1=2121 =>V1=2, V2=1, V3=2, V4=1.
                   11684:      * for (j=1 to cptcoveff) Vj=decodtabm(j,h,cptcoveff)
                   11685:      * decodtabm(h,j,cptcoveff)= (((h-1) >> (j-1)) & 1) +1 
                   11686:      * decodtabm(h,j,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (j-1)) & 1) +1 : -1)
                   11687:      * V3=decodtabm(14,3,2**4)=2
                   11688:      *          h'=13   1101 =2^3+2^2+0x2^1+2^0
                   11689:      *(h-1) >> (j-1)    0011 =13 >> 2
                   11690:      *          &1 000000001
                   11691:      *           = 000000001
                   11692:      *         +1= 000000010 =2
                   11693:      *                  2211
                   11694:      *                  V1=1+1, V2=0+1, V3=1+1, V4=1+1
                   11695:      *                  V3=2
1.220     brouard  11696:                 * codtabm and decodtabm are identical
1.211     brouard  11697:      */
                   11698: 
1.145     brouard  11699: 
                   11700:  free_ivector(Ndum,-1,NCOVMAX);
                   11701: 
                   11702: 
1.126     brouard  11703:     
1.186     brouard  11704:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  11705:   strcpy(optionfilegnuplot,optionfilefiname);
                   11706:   if(mle==-3)
1.201     brouard  11707:     strcat(optionfilegnuplot,"-MORT_");
1.126     brouard  11708:   strcat(optionfilegnuplot,".gp");
                   11709: 
                   11710:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   11711:     printf("Problem with file %s",optionfilegnuplot);
                   11712:   }
                   11713:   else{
1.204     brouard  11714:     fprintf(ficgp,"\n# IMaCh-%s\n", version); 
1.126     brouard  11715:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  11716:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   11717:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  11718:   }
                   11719:   /*  fclose(ficgp);*/
1.186     brouard  11720: 
                   11721: 
                   11722:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  11723: 
                   11724:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   11725:   if(mle==-3)
1.201     brouard  11726:     strcat(optionfilehtm,"-MORT_");
1.126     brouard  11727:   strcat(optionfilehtm,".htm");
                   11728:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  11729:     printf("Problem with %s \n",optionfilehtm);
                   11730:     exit(0);
1.126     brouard  11731:   }
                   11732: 
                   11733:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   11734:   strcat(optionfilehtmcov,"-cov.htm");
                   11735:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   11736:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   11737:   }
                   11738:   else{
                   11739:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   11740: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  11741: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.126     brouard  11742:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   11743:   }
                   11744: 
1.213     brouard  11745:   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  11746: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   11747: <font size=\"2\">IMaCh-%s <br> %s</font> \
1.126     brouard  11748: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  11749: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n\
1.126     brouard  11750: \n\
                   11751: <hr  size=\"2\" color=\"#EC5E5E\">\
                   11752:  <ul><li><h4>Parameter files</h4>\n\
                   11753:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   11754:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   11755:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   11756:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   11757:  - Date and time at start: %s</ul>\n",\
                   11758:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   11759:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   11760:          fileres,fileres,\
                   11761:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   11762:   fflush(fichtm);
                   11763: 
                   11764:   strcpy(pathr,path);
                   11765:   strcat(pathr,optionfilefiname);
1.184     brouard  11766: #ifdef WIN32
                   11767:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   11768: #else
1.126     brouard  11769:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  11770: #endif
                   11771:          
1.126     brouard  11772:   
1.220     brouard  11773:   /* Calculates basic frequencies. Computes observed prevalence at single age 
                   11774:                 and for any valid combination of covariates
1.126     brouard  11775:      and prints on file fileres'p'. */
1.251     brouard  11776:   freqsummary(fileres, p, pstart, agemin, agemax, s, agev, nlstate, imx, Tvaraff, invalidvarcomb, nbcode, ncodemax,mint,anint,strstart, \
1.227     brouard  11777:              firstpass, lastpass,  stepm,  weightopt, model);
1.126     brouard  11778: 
                   11779:   fprintf(fichtm,"\n");
1.286     brouard  11780:   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  11781:          ftol, stepm);
                   11782:   fprintf(fichtm,"\n<li>Number of fixed dummy covariates: ncovcol=%d ", ncovcol);
                   11783:   ncurrv=1;
                   11784:   for(i=ncurrv; i <=ncovcol; i++) fprintf(fichtm,"V%d ", i);
                   11785:   fprintf(fichtm,"\n<li> Number of fixed quantitative variables: nqv=%d ", nqv); 
                   11786:   ncurrv=i;
                   11787:   for(i=ncurrv; i <=ncurrv-1+nqv; i++) fprintf(fichtm,"V%d ", i);
1.290     brouard  11788:   fprintf(fichtm,"\n<li> Number of time varying (wave varying) dummy covariates: ntv=%d ", ntv);
1.274     brouard  11789:   ncurrv=i;
                   11790:   for(i=ncurrv; i <=ncurrv-1+ntv; i++) fprintf(fichtm,"V%d ", i);
1.290     brouard  11791:   fprintf(fichtm,"\n<li>Number of time varying  quantitative covariates: nqtv=%d ", nqtv);
1.274     brouard  11792:   ncurrv=i;
                   11793:   for(i=ncurrv; i <=ncurrv-1+nqtv; i++) fprintf(fichtm,"V%d ", i);
                   11794:   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", \
                   11795:           nlstate, ndeath, maxwav, mle, weightopt);
                   11796: 
                   11797:   fprintf(fichtm,"<h4> Diagram of states <a href=\"%s_.svg\">%s_.svg</a></h4> \n\
                   11798: <img src=\"%s_.svg\">", subdirf2(optionfilefiname,"D_"),subdirf2(optionfilefiname,"D_"),subdirf2(optionfilefiname,"D_"));
                   11799: 
                   11800:   
                   11801:   fprintf(fichtm,"\n<h4>Some descriptive statistics </h4>\n<br>Total number of observations=%d <br>\n\
1.126     brouard  11802: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   11803: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
1.274     brouard  11804:   imx,agemin,agemax,jmin,jmax,jmean);
1.126     brouard  11805:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
1.268     brouard  11806:   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   11807:   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   11808:   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   11809:   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
1.218     brouard  11810: 
1.126     brouard  11811:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   11812:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   11813:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   11814: 
                   11815:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  11816:   /* For mortality only */
1.126     brouard  11817:   if (mle==-3){
1.136     brouard  11818:     ximort=matrix(1,NDIM,1,NDIM); 
1.248     brouard  11819:     for(i=1;i<=NDIM;i++)
                   11820:       for(j=1;j<=NDIM;j++)
                   11821:        ximort[i][j]=0.;
1.186     brouard  11822:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.290     brouard  11823:     cens=ivector(firstobs,lastobs);
                   11824:     ageexmed=vector(firstobs,lastobs);
                   11825:     agecens=vector(firstobs,lastobs);
                   11826:     dcwave=ivector(firstobs,lastobs);
1.223     brouard  11827:                
1.126     brouard  11828:     for (i=1; i<=imx; i++){
                   11829:       dcwave[i]=-1;
                   11830:       for (m=firstpass; m<=lastpass; m++)
1.226     brouard  11831:        if (s[m][i]>nlstate) {
                   11832:          dcwave[i]=m;
                   11833:          /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
                   11834:          break;
                   11835:        }
1.126     brouard  11836:     }
1.226     brouard  11837:     
1.126     brouard  11838:     for (i=1; i<=imx; i++) {
                   11839:       if (wav[i]>0){
1.226     brouard  11840:        ageexmed[i]=agev[mw[1][i]][i];
                   11841:        j=wav[i];
                   11842:        agecens[i]=1.; 
                   11843:        
                   11844:        if (ageexmed[i]> 1 && wav[i] > 0){
                   11845:          agecens[i]=agev[mw[j][i]][i];
                   11846:          cens[i]= 1;
                   11847:        }else if (ageexmed[i]< 1) 
                   11848:          cens[i]= -1;
                   11849:        if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
                   11850:          cens[i]=0 ;
1.126     brouard  11851:       }
                   11852:       else cens[i]=-1;
                   11853:     }
                   11854:     
                   11855:     for (i=1;i<=NDIM;i++) {
                   11856:       for (j=1;j<=NDIM;j++)
1.226     brouard  11857:        ximort[i][j]=(i == j ? 1.0 : 0.0);
1.126     brouard  11858:     }
                   11859:     
1.145     brouard  11860:     /*p[1]=0.0268; p[NDIM]=0.083;*/
1.126     brouard  11861:     /*printf("%lf %lf", p[1], p[2]);*/
                   11862:     
                   11863:     
1.136     brouard  11864: #ifdef GSL
                   11865:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  11866: #else
1.126     brouard  11867:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  11868: #endif
1.201     brouard  11869:     strcpy(filerespow,"POW-MORT_"); 
                   11870:     strcat(filerespow,fileresu);
1.126     brouard  11871:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   11872:       printf("Problem with resultfile: %s\n", filerespow);
                   11873:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   11874:     }
1.136     brouard  11875: #ifdef GSL
                   11876:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  11877: #else
1.126     brouard  11878:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  11879: #endif
1.126     brouard  11880:     /*  for (i=1;i<=nlstate;i++)
                   11881:        for(j=1;j<=nlstate+ndeath;j++)
                   11882:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   11883:     */
                   11884:     fprintf(ficrespow,"\n");
1.136     brouard  11885: #ifdef GSL
                   11886:     /* gsl starts here */ 
                   11887:     T = gsl_multimin_fminimizer_nmsimplex;
                   11888:     gsl_multimin_fminimizer *sfm = NULL;
                   11889:     gsl_vector *ss, *x;
                   11890:     gsl_multimin_function minex_func;
                   11891: 
                   11892:     /* Initial vertex size vector */
                   11893:     ss = gsl_vector_alloc (NDIM);
                   11894:     
                   11895:     if (ss == NULL){
                   11896:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   11897:     }
                   11898:     /* Set all step sizes to 1 */
                   11899:     gsl_vector_set_all (ss, 0.001);
                   11900: 
                   11901:     /* Starting point */
1.126     brouard  11902:     
1.136     brouard  11903:     x = gsl_vector_alloc (NDIM);
                   11904:     
                   11905:     if (x == NULL){
                   11906:       gsl_vector_free(ss);
                   11907:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   11908:     }
                   11909:   
                   11910:     /* Initialize method and iterate */
                   11911:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  11912:     /*     gsl_vector_set(x, 0, 0.0268); */
                   11913:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  11914:     gsl_vector_set(x, 0, p[1]);
                   11915:     gsl_vector_set(x, 1, p[2]);
                   11916: 
                   11917:     minex_func.f = &gompertz_f;
                   11918:     minex_func.n = NDIM;
                   11919:     minex_func.params = (void *)&p; /* ??? */
                   11920:     
                   11921:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   11922:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   11923:     
                   11924:     printf("Iterations beginning .....\n\n");
                   11925:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   11926: 
                   11927:     iteri=0;
                   11928:     while (rval == GSL_CONTINUE){
                   11929:       iteri++;
                   11930:       status = gsl_multimin_fminimizer_iterate(sfm);
                   11931:       
                   11932:       if (status) printf("error: %s\n", gsl_strerror (status));
                   11933:       fflush(0);
                   11934:       
                   11935:       if (status) 
                   11936:         break;
                   11937:       
                   11938:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   11939:       ssval = gsl_multimin_fminimizer_size (sfm);
                   11940:       
                   11941:       if (rval == GSL_SUCCESS)
                   11942:         printf ("converged to a local maximum at\n");
                   11943:       
                   11944:       printf("%5d ", iteri);
                   11945:       for (it = 0; it < NDIM; it++){
                   11946:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   11947:       }
                   11948:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   11949:     }
                   11950:     
                   11951:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   11952:     
                   11953:     gsl_vector_free(x); /* initial values */
                   11954:     gsl_vector_free(ss); /* inital step size */
                   11955:     for (it=0; it<NDIM; it++){
                   11956:       p[it+1]=gsl_vector_get(sfm->x,it);
                   11957:       fprintf(ficrespow," %.12lf", p[it]);
                   11958:     }
                   11959:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   11960: #endif
                   11961: #ifdef POWELL
                   11962:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   11963: #endif  
1.126     brouard  11964:     fclose(ficrespow);
                   11965:     
1.203     brouard  11966:     hesscov(matcov, hess, p, NDIM, delti, 1e-4, gompertz); 
1.126     brouard  11967: 
                   11968:     for(i=1; i <=NDIM; i++)
                   11969:       for(j=i+1;j<=NDIM;j++)
1.220     brouard  11970:                                matcov[i][j]=matcov[j][i];
1.126     brouard  11971:     
                   11972:     printf("\nCovariance matrix\n ");
1.203     brouard  11973:     fprintf(ficlog,"\nCovariance matrix\n ");
1.126     brouard  11974:     for(i=1; i <=NDIM; i++) {
                   11975:       for(j=1;j<=NDIM;j++){ 
1.220     brouard  11976:                                printf("%f ",matcov[i][j]);
                   11977:                                fprintf(ficlog,"%f ",matcov[i][j]);
1.126     brouard  11978:       }
1.203     brouard  11979:       printf("\n ");  fprintf(ficlog,"\n ");
1.126     brouard  11980:     }
                   11981:     
                   11982:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
1.193     brouard  11983:     for (i=1;i<=NDIM;i++) {
1.126     brouard  11984:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.193     brouard  11985:       fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   11986:     }
1.126     brouard  11987:     lsurv=vector(1,AGESUP);
                   11988:     lpop=vector(1,AGESUP);
                   11989:     tpop=vector(1,AGESUP);
                   11990:     lsurv[agegomp]=100000;
                   11991:     
                   11992:     for (k=agegomp;k<=AGESUP;k++) {
                   11993:       agemortsup=k;
                   11994:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   11995:     }
                   11996:     
                   11997:     for (k=agegomp;k<agemortsup;k++)
                   11998:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   11999:     
                   12000:     for (k=agegomp;k<agemortsup;k++){
                   12001:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   12002:       sumlpop=sumlpop+lpop[k];
                   12003:     }
                   12004:     
                   12005:     tpop[agegomp]=sumlpop;
                   12006:     for (k=agegomp;k<(agemortsup-3);k++){
                   12007:       /*  tpop[k+1]=2;*/
                   12008:       tpop[k+1]=tpop[k]-lpop[k];
                   12009:     }
                   12010:     
                   12011:     
                   12012:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   12013:     for (k=agegomp;k<(agemortsup-2);k++) 
                   12014:       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]);
                   12015:     
                   12016:     
                   12017:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.220     brouard  12018:                ageminpar=50;
                   12019:                agemaxpar=100;
1.194     brouard  12020:     if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
                   12021:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   12022: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12023: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   12024:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   12025: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12026: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  12027:     }else{
                   12028:                        printf("Warning! ageminpar %f and agemaxpar %f have been fixed because for simplification until it is fixed...\n\n",ageminpar,agemaxpar);
                   12029:                        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  12030:       printinggnuplotmort(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
1.220     brouard  12031:                }
1.201     brouard  12032:     printinghtmlmort(fileresu,title,datafile, firstpass, lastpass, \
1.126     brouard  12033:                     stepm, weightopt,\
                   12034:                     model,imx,p,matcov,agemortsup);
                   12035:     
                   12036:     free_vector(lsurv,1,AGESUP);
                   12037:     free_vector(lpop,1,AGESUP);
                   12038:     free_vector(tpop,1,AGESUP);
1.220     brouard  12039:     free_matrix(ximort,1,NDIM,1,NDIM);
1.290     brouard  12040:     free_ivector(dcwave,firstobs,lastobs);
                   12041:     free_vector(agecens,firstobs,lastobs);
                   12042:     free_vector(ageexmed,firstobs,lastobs);
                   12043:     free_ivector(cens,firstobs,lastobs);
1.220     brouard  12044: #ifdef GSL
1.136     brouard  12045: #endif
1.186     brouard  12046:   } /* Endof if mle==-3 mortality only */
1.205     brouard  12047:   /* Standard  */
                   12048:   else{ /* For mle !=- 3, could be 0 or 1 or 4 etc. */
                   12049:     globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   12050:     /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
1.132     brouard  12051:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  12052:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   12053:     for (k=1; k<=npar;k++)
                   12054:       printf(" %d %8.5f",k,p[k]);
                   12055:     printf("\n");
1.205     brouard  12056:     if(mle>=1){ /* Could be 1 or 2, Real Maximization */
                   12057:       /* mlikeli uses func not funcone */
1.247     brouard  12058:       /* for(i=1;i<nlstate;i++){ */
                   12059:       /*       /\*reducing xi for 1 to npar to 1 to ncovmodel; *\/ */
                   12060:       /*    mlikeli(ficres,p, ncovmodel, ncovmodel, nlstate, ftol, funcnoprod); */
                   12061:       /* } */
1.205     brouard  12062:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
                   12063:     }
                   12064:     if(mle==0) {/* No optimization, will print the likelihoods for the datafile */
                   12065:       globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   12066:       /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
                   12067:       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   12068:     }
                   12069:     globpr=1; /* again, to print the individual contributions using computed gpimx and gsw */
1.126     brouard  12070:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   12071:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   12072:     for (k=1; k<=npar;k++)
                   12073:       printf(" %d %8.5f",k,p[k]);
                   12074:     printf("\n");
                   12075:     
                   12076:     /*--------- results files --------------*/
1.283     brouard  12077:     /* 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  12078:     
                   12079:     
                   12080:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   12081:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   12082:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   12083:     for(i=1,jk=1; i <=nlstate; i++){
                   12084:       for(k=1; k <=(nlstate+ndeath); k++){
1.225     brouard  12085:        if (k != i) {
                   12086:          printf("%d%d ",i,k);
                   12087:          fprintf(ficlog,"%d%d ",i,k);
                   12088:          fprintf(ficres,"%1d%1d ",i,k);
                   12089:          for(j=1; j <=ncovmodel; j++){
                   12090:            printf("%12.7f ",p[jk]);
                   12091:            fprintf(ficlog,"%12.7f ",p[jk]);
                   12092:            fprintf(ficres,"%12.7f ",p[jk]);
                   12093:            jk++; 
                   12094:          }
                   12095:          printf("\n");
                   12096:          fprintf(ficlog,"\n");
                   12097:          fprintf(ficres,"\n");
                   12098:        }
1.126     brouard  12099:       }
                   12100:     }
1.203     brouard  12101:     if(mle != 0){
                   12102:       /* Computing hessian and covariance matrix only at a peak of the Likelihood, that is after optimization */
1.126     brouard  12103:       ftolhess=ftol; /* Usually correct */
1.203     brouard  12104:       hesscov(matcov, hess, p, npar, delti, ftolhess, func);
                   12105:       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");
                   12106:       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");
                   12107:       for(i=1,jk=1; i <=nlstate; i++){
1.225     brouard  12108:        for(k=1; k <=(nlstate+ndeath); k++){
                   12109:          if (k != i) {
                   12110:            printf("%d%d ",i,k);
                   12111:            fprintf(ficlog,"%d%d ",i,k);
                   12112:            for(j=1; j <=ncovmodel; j++){
                   12113:              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]));
                   12114:              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]));
                   12115:              jk++; 
                   12116:            }
                   12117:            printf("\n");
                   12118:            fprintf(ficlog,"\n");
                   12119:          }
                   12120:        }
1.193     brouard  12121:       }
1.203     brouard  12122:     } /* end of hesscov and Wald tests */
1.225     brouard  12123:     
1.203     brouard  12124:     /*  */
1.126     brouard  12125:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   12126:     printf("# Scales (for hessian or gradient estimation)\n");
                   12127:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   12128:     for(i=1,jk=1; i <=nlstate; i++){
                   12129:       for(j=1; j <=nlstate+ndeath; j++){
1.225     brouard  12130:        if (j!=i) {
                   12131:          fprintf(ficres,"%1d%1d",i,j);
                   12132:          printf("%1d%1d",i,j);
                   12133:          fprintf(ficlog,"%1d%1d",i,j);
                   12134:          for(k=1; k<=ncovmodel;k++){
                   12135:            printf(" %.5e",delti[jk]);
                   12136:            fprintf(ficlog," %.5e",delti[jk]);
                   12137:            fprintf(ficres," %.5e",delti[jk]);
                   12138:            jk++;
                   12139:          }
                   12140:          printf("\n");
                   12141:          fprintf(ficlog,"\n");
                   12142:          fprintf(ficres,"\n");
                   12143:        }
1.126     brouard  12144:       }
                   12145:     }
                   12146:     
                   12147:     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  12148:     if(mle >= 1) /* To big for the screen */
1.126     brouard  12149:       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");
                   12150:     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");
                   12151:     /* # 121 Var(a12)\n\ */
                   12152:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   12153:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   12154:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   12155:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   12156:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   12157:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   12158:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   12159:     
                   12160:     
                   12161:     /* Just to have a covariance matrix which will be more understandable
                   12162:        even is we still don't want to manage dictionary of variables
                   12163:     */
                   12164:     for(itimes=1;itimes<=2;itimes++){
                   12165:       jj=0;
                   12166:       for(i=1; i <=nlstate; i++){
1.225     brouard  12167:        for(j=1; j <=nlstate+ndeath; j++){
                   12168:          if(j==i) continue;
                   12169:          for(k=1; k<=ncovmodel;k++){
                   12170:            jj++;
                   12171:            ca[0]= k+'a'-1;ca[1]='\0';
                   12172:            if(itimes==1){
                   12173:              if(mle>=1)
                   12174:                printf("#%1d%1d%d",i,j,k);
                   12175:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
                   12176:              fprintf(ficres,"#%1d%1d%d",i,j,k);
                   12177:            }else{
                   12178:              if(mle>=1)
                   12179:                printf("%1d%1d%d",i,j,k);
                   12180:              fprintf(ficlog,"%1d%1d%d",i,j,k);
                   12181:              fprintf(ficres,"%1d%1d%d",i,j,k);
                   12182:            }
                   12183:            ll=0;
                   12184:            for(li=1;li <=nlstate; li++){
                   12185:              for(lj=1;lj <=nlstate+ndeath; lj++){
                   12186:                if(lj==li) continue;
                   12187:                for(lk=1;lk<=ncovmodel;lk++){
                   12188:                  ll++;
                   12189:                  if(ll<=jj){
                   12190:                    cb[0]= lk +'a'-1;cb[1]='\0';
                   12191:                    if(ll<jj){
                   12192:                      if(itimes==1){
                   12193:                        if(mle>=1)
                   12194:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12195:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12196:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12197:                      }else{
                   12198:                        if(mle>=1)
                   12199:                          printf(" %.5e",matcov[jj][ll]); 
                   12200:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   12201:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   12202:                      }
                   12203:                    }else{
                   12204:                      if(itimes==1){
                   12205:                        if(mle>=1)
                   12206:                          printf(" Var(%s%1d%1d)",ca,i,j);
                   12207:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                   12208:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                   12209:                      }else{
                   12210:                        if(mle>=1)
                   12211:                          printf(" %.7e",matcov[jj][ll]); 
                   12212:                        fprintf(ficlog," %.7e",matcov[jj][ll]); 
                   12213:                        fprintf(ficres," %.7e",matcov[jj][ll]); 
                   12214:                      }
                   12215:                    }
                   12216:                  }
                   12217:                } /* end lk */
                   12218:              } /* end lj */
                   12219:            } /* end li */
                   12220:            if(mle>=1)
                   12221:              printf("\n");
                   12222:            fprintf(ficlog,"\n");
                   12223:            fprintf(ficres,"\n");
                   12224:            numlinepar++;
                   12225:          } /* end k*/
                   12226:        } /*end j */
1.126     brouard  12227:       } /* end i */
                   12228:     } /* end itimes */
                   12229:     
                   12230:     fflush(ficlog);
                   12231:     fflush(ficres);
1.225     brouard  12232:     while(fgets(line, MAXLINE, ficpar)) {
                   12233:       /* If line starts with a # it is a comment */
                   12234:       if (line[0] == '#') {
                   12235:        numlinepar++;
                   12236:        fputs(line,stdout);
                   12237:        fputs(line,ficparo);
                   12238:        fputs(line,ficlog);
1.299     brouard  12239:        fputs(line,ficres);
1.225     brouard  12240:        continue;
                   12241:       }else
                   12242:        break;
                   12243:     }
                   12244:     
1.209     brouard  12245:     /* while((c=getc(ficpar))=='#' && c!= EOF){ */
                   12246:     /*   ungetc(c,ficpar); */
                   12247:     /*   fgets(line, MAXLINE, ficpar); */
                   12248:     /*   fputs(line,stdout); */
                   12249:     /*   fputs(line,ficparo); */
                   12250:     /* } */
                   12251:     /* ungetc(c,ficpar); */
1.126     brouard  12252:     
                   12253:     estepm=0;
1.209     brouard  12254:     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  12255:       
                   12256:       if (num_filled != 6) {
                   12257:        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);
                   12258:        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);
                   12259:        goto end;
                   12260:       }
                   12261:       printf("agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",ageminpar,agemaxpar, bage, fage, estepm, ftolpl);
                   12262:     }
                   12263:     /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
                   12264:     /*ftolpl=6.e-4;*/ /* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
                   12265:     
1.209     brouard  12266:     /* fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm); */
1.126     brouard  12267:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   12268:     if (fage <= 2) {
                   12269:       bage = ageminpar;
                   12270:       fage = agemaxpar;
                   12271:     }
                   12272:     
                   12273:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
1.211     brouard  12274:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
                   12275:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d, ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
1.220     brouard  12276:                
1.186     brouard  12277:     /* Other stuffs, more or less useful */    
1.254     brouard  12278:     while(fgets(line, MAXLINE, ficpar)) {
                   12279:       /* If line starts with a # it is a comment */
                   12280:       if (line[0] == '#') {
                   12281:        numlinepar++;
                   12282:        fputs(line,stdout);
                   12283:        fputs(line,ficparo);
                   12284:        fputs(line,ficlog);
1.299     brouard  12285:        fputs(line,ficres);
1.254     brouard  12286:        continue;
                   12287:       }else
                   12288:        break;
                   12289:     }
                   12290: 
                   12291:     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){
                   12292:       
                   12293:       if (num_filled != 7) {
                   12294:        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);
                   12295:        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);
                   12296:        goto end;
                   12297:       }
                   12298:       printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   12299:       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);
                   12300:       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);
                   12301:       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  12302:     }
1.254     brouard  12303: 
                   12304:     while(fgets(line, MAXLINE, ficpar)) {
                   12305:       /* If line starts with a # it is a comment */
                   12306:       if (line[0] == '#') {
                   12307:        numlinepar++;
                   12308:        fputs(line,stdout);
                   12309:        fputs(line,ficparo);
                   12310:        fputs(line,ficlog);
1.299     brouard  12311:        fputs(line,ficres);
1.254     brouard  12312:        continue;
                   12313:       }else
                   12314:        break;
1.126     brouard  12315:     }
                   12316:     
                   12317:     
                   12318:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   12319:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   12320:     
1.254     brouard  12321:     if((num_filled=sscanf(line,"pop_based=%d\n",&popbased)) !=EOF){
                   12322:       if (num_filled != 1) {
                   12323:        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);
                   12324:        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);
                   12325:        goto end;
                   12326:       }
                   12327:       printf("pop_based=%d\n",popbased);
                   12328:       fprintf(ficlog,"pop_based=%d\n",popbased);
                   12329:       fprintf(ficparo,"pop_based=%d\n",popbased);   
                   12330:       fprintf(ficres,"pop_based=%d\n",popbased);   
                   12331:     }
                   12332:      
1.258     brouard  12333:     /* Results */
                   12334:     nresult=0;
                   12335:     do{
                   12336:       if(!fgets(line, MAXLINE, ficpar)){
                   12337:        endishere=1;
                   12338:        parameterline=14;
                   12339:       }else if (line[0] == '#') {
                   12340:        /* If line starts with a # it is a comment */
1.254     brouard  12341:        numlinepar++;
                   12342:        fputs(line,stdout);
                   12343:        fputs(line,ficparo);
                   12344:        fputs(line,ficlog);
1.299     brouard  12345:        fputs(line,ficres);
1.254     brouard  12346:        continue;
1.258     brouard  12347:       }else if(sscanf(line,"prevforecast=%[^\n]\n",modeltemp))
                   12348:        parameterline=11;
1.296     brouard  12349:       else if(sscanf(line,"prevbackcast=%[^\n]\n",modeltemp))
1.258     brouard  12350:        parameterline=12;
                   12351:       else if(sscanf(line,"result:%[^\n]\n",modeltemp))
                   12352:        parameterline=13;
                   12353:       else{
                   12354:        parameterline=14;
1.254     brouard  12355:       }
1.258     brouard  12356:       switch (parameterline){ 
                   12357:       case 11:
1.296     brouard  12358:        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)){
                   12359:                  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  12360:          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);
                   12361:          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);
                   12362:          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);
                   12363:          /* day and month of proj2 are not used but only year anproj2.*/
1.273     brouard  12364:          dateproj1=anproj1+(mproj1-1)/12.+(jproj1-1)/365.;
                   12365:          dateproj2=anproj2+(mproj2-1)/12.+(jproj2-1)/365.;
1.296     brouard  12366:           prvforecast = 1;
                   12367:        } 
                   12368:        else if((num_filled=sscanf(line,"prevforecast=%d yearsfproj=%lf mobil_average=%d\n",&prevfcast,&yrfproj,&mobilavproj)) !=EOF){/* && (num_filled == 3))*/
1.299     brouard  12369:          printf("prevforecast=%d yearsfproj=%lf mobil_average=%d\n",prevfcast,yrfproj,mobilavproj);
                   12370:          fprintf(ficlog,"prevforecast=%d yearsfproj=%lf mobil_average=%d\n",prevfcast,yrfproj,mobilavproj);
                   12371:          fprintf(ficres,"prevforecast=%d yearsfproj=%lf mobil_average=%d\n",prevfcast,yrfproj,mobilavproj);
1.296     brouard  12372:           prvforecast = 2;
                   12373:        }
                   12374:        else {
                   12375:          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);
                   12376:          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);
                   12377:          goto end;
1.258     brouard  12378:        }
1.254     brouard  12379:        break;
1.258     brouard  12380:       case 12:
1.296     brouard  12381:        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)){
                   12382:           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);
                   12383:          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);
                   12384:          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);
                   12385:          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);
                   12386:          /* day and month of back2 are not used but only year anback2.*/
1.273     brouard  12387:          dateback1=anback1+(mback1-1)/12.+(jback1-1)/365.;
                   12388:          dateback2=anback2+(mback2-1)/12.+(jback2-1)/365.;
1.296     brouard  12389:           prvbackcast = 1;
                   12390:        } 
                   12391:        else if((num_filled=sscanf(line,"prevbackcast=%d yearsbproj=%lf mobil_average=%d\n",&prevbcast,&yrbproj,&mobilavproj)) ==3){/* && (num_filled == 3))*/
1.299     brouard  12392:          printf("prevbackcast=%d yearsbproj=%lf mobil_average=%d\n",prevbcast,yrbproj,mobilavproj);
1.301   ! brouard  12393:          fprintf(ficlog,"prevbackcast=%d yearsbproj=%lf mobil_average=%d\n",prevbcast,yrbproj,mobilavproj);
        !          12394:          fprintf(ficres,"prevbackcast=%d yearsbproj=%lf mobil_average=%d\n",prevbcast,yrbproj,mobilavproj);
1.296     brouard  12395:           prvbackcast = 2;
                   12396:        }
                   12397:        else {
                   12398:          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);
                   12399:          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);
                   12400:          goto end;
1.258     brouard  12401:        }
1.230     brouard  12402:        break;
1.258     brouard  12403:       case 13:
                   12404:        if((num_filled=sscanf(line,"result:%[^\n]\n",resultline)) !=EOF){
                   12405:          if (num_filled == 0){
                   12406:            resultline[0]='\0';
                   12407:            printf("Warning %d: no result line! It should be at minimum 'result: V2=0 V1=1 or result:.\n%s\n", num_filled, line);
                   12408:            fprintf(ficlog,"Warning %d: no result line! It should be at minimum 'result: V2=0 V1=1 or result:.\n%s\n", num_filled, line);
                   12409:            break;
                   12410:          } else if (num_filled != 1){
                   12411:            printf("ERROR %d: result line! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",num_filled, line);
                   12412:            fprintf(ficlog,"ERROR %d: result line! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",num_filled, line);
                   12413:          }
                   12414:          nresult++; /* Sum of resultlines */
                   12415:          printf("Result %d: result=%s\n",nresult, resultline);
                   12416:          if(nresult > MAXRESULTLINES){
                   12417:            printf("ERROR: Current version of IMaCh limits the number of resultlines to %d, you used %d\n",MAXRESULTLINES,nresult);
                   12418:            fprintf(ficlog,"ERROR: Current version of IMaCh limits the number of resultlines to %d, you used %d\n",MAXRESULTLINES,nresult);
                   12419:            goto end;
                   12420:          }
                   12421:          decoderesult(resultline, nresult); /* Fills TKresult[nresult] combination and Tresult[nresult][k4+1] combination values */
                   12422:          fprintf(ficparo,"result: %s\n",resultline);
                   12423:          fprintf(ficres,"result: %s\n",resultline);
                   12424:          fprintf(ficlog,"result: %s\n",resultline);
1.230     brouard  12425:          break;
1.258     brouard  12426:        case 14: 
1.259     brouard  12427:          if(ncovmodel >2 && nresult==0 ){
                   12428:            printf("ERROR: no result lines! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",line);
1.258     brouard  12429:            goto end;
                   12430:          }
1.259     brouard  12431:          break;
1.258     brouard  12432:        default:
                   12433:          nresult=1;
                   12434:          decoderesult(".",nresult ); /* No covariate */
                   12435:        }
                   12436:       } /* End switch parameterline */
                   12437:     }while(endishere==0); /* End do */
1.126     brouard  12438:     
1.230     brouard  12439:     /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
1.145     brouard  12440:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  12441:     
                   12442:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  12443:     if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
1.230     brouard  12444:       printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  12445: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12446: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.230     brouard  12447:       fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  12448: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12449: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  12450:     }else{
1.270     brouard  12451:       /* printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, prevfcast, backcast, pathc,p, (int)anproj1-(int)agemin, (int)anback1-(int)agemax+1); */
1.296     brouard  12452:       /* It seems that anprojd which is computed from the mean year at interview which is known yet because of freqsummary */
                   12453:       /* date2dmy(dateintmean,&jintmean,&mintmean,&aintmean); */ /* Done in freqsummary */
                   12454:       if(prvforecast==1){
                   12455:         dateprojd=(jproj1+12*mproj1+365*anproj1)/365;
                   12456:         jprojd=jproj1;
                   12457:         mprojd=mproj1;
                   12458:         anprojd=anproj1;
                   12459:         dateprojf=(jproj2+12*mproj2+365*anproj2)/365;
                   12460:         jprojf=jproj2;
                   12461:         mprojf=mproj2;
                   12462:         anprojf=anproj2;
                   12463:       } else if(prvforecast == 2){
                   12464:         dateprojd=dateintmean;
                   12465:         date2dmy(dateprojd,&jprojd, &mprojd, &anprojd);
                   12466:         dateprojf=dateintmean+yrfproj;
                   12467:         date2dmy(dateprojf,&jprojf, &mprojf, &anprojf);
                   12468:       }
                   12469:       if(prvbackcast==1){
                   12470:         datebackd=(jback1+12*mback1+365*anback1)/365;
                   12471:         jbackd=jback1;
                   12472:         mbackd=mback1;
                   12473:         anbackd=anback1;
                   12474:         datebackf=(jback2+12*mback2+365*anback2)/365;
                   12475:         jbackf=jback2;
                   12476:         mbackf=mback2;
                   12477:         anbackf=anback2;
                   12478:       } else if(prvbackcast == 2){
                   12479:         datebackd=dateintmean;
                   12480:         date2dmy(datebackd,&jbackd, &mbackd, &anbackd);
                   12481:         datebackf=dateintmean-yrbproj;
                   12482:         date2dmy(datebackf,&jbackf, &mbackf, &anbackf);
                   12483:       }
                   12484:       
                   12485:       printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,bage, fage, prevfcast, prevbcast, pathc,p, (int)anprojd-bage, (int)anbackd-fage);
1.220     brouard  12486:     }
                   12487:     printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt, \
1.296     brouard  12488:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,mobilav,prevfcast,mobilavproj,prevbcast, estepm, \
                   12489:                 jprev1,mprev1,anprev1,dateprev1, dateprojd, datebackd,jprev2,mprev2,anprev2,dateprev2,dateprojf, datebackf);
1.220     brouard  12490:                
1.225     brouard  12491:     /*------------ free_vector  -------------*/
                   12492:     /*  chdir(path); */
1.220     brouard  12493:                
1.215     brouard  12494:     /* free_ivector(wav,1,imx); */  /* Moved after last prevalence call */
                   12495:     /* free_imatrix(dh,1,lastpass-firstpass+2,1,imx); */
                   12496:     /* free_imatrix(bh,1,lastpass-firstpass+2,1,imx); */
                   12497:     /* free_imatrix(mw,1,lastpass-firstpass+2,1,imx);    */
1.290     brouard  12498:     free_lvector(num,firstobs,lastobs);
                   12499:     free_vector(agedc,firstobs,lastobs);
1.126     brouard  12500:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   12501:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   12502:     fclose(ficparo);
                   12503:     fclose(ficres);
1.220     brouard  12504:                
                   12505:                
1.186     brouard  12506:     /* Other results (useful)*/
1.220     brouard  12507:                
                   12508:                
1.126     brouard  12509:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  12510:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   12511:     prlim=matrix(1,nlstate,1,nlstate);
1.209     brouard  12512:     prevalence_limit(p, prlim,  ageminpar, agemaxpar, ftolpl, &ncvyear);
1.126     brouard  12513:     fclose(ficrespl);
                   12514: 
                   12515:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  12516:     /*#include "hpijx.h"*/
                   12517:     hPijx(p, bage, fage);
1.145     brouard  12518:     fclose(ficrespij);
1.227     brouard  12519:     
1.220     brouard  12520:     /* ncovcombmax=  pow(2,cptcoveff); */
1.219     brouard  12521:     /*-------------- Variance of one-step probabilities---*/
1.145     brouard  12522:     k=1;
1.126     brouard  12523:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
1.227     brouard  12524:     
1.269     brouard  12525:     /* Prevalence for each covariate combination in probs[age][status][cov] */
                   12526:     probs= ma3x(AGEINF,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
                   12527:     for(i=AGEINF;i<=AGESUP;i++)
1.219     brouard  12528:       for(j=1;j<=nlstate+ndeath;j++) /* ndeath is useless but a necessity to be compared with mobaverages */
1.225     brouard  12529:        for(k=1;k<=ncovcombmax;k++)
                   12530:          probs[i][j][k]=0.;
1.269     brouard  12531:     prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, 
                   12532:               ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
1.219     brouard  12533:     if (mobilav!=0 ||mobilavproj !=0 ) {
1.269     brouard  12534:       mobaverages= ma3x(AGEINF, AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
                   12535:       for(i=AGEINF;i<=AGESUP;i++)
1.268     brouard  12536:        for(j=1;j<=nlstate+ndeath;j++)
1.227     brouard  12537:          for(k=1;k<=ncovcombmax;k++)
                   12538:            mobaverages[i][j][k]=0.;
1.219     brouard  12539:       mobaverage=mobaverages;
                   12540:       if (mobilav!=0) {
1.235     brouard  12541:        printf("Movingaveraging observed prevalence\n");
1.258     brouard  12542:        fprintf(ficlog,"Movingaveraging observed prevalence\n");
1.227     brouard  12543:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilav)!=0){
                   12544:          fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   12545:          printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   12546:        }
1.269     brouard  12547:       } else if (mobilavproj !=0) {
1.235     brouard  12548:        printf("Movingaveraging projected observed prevalence\n");
1.258     brouard  12549:        fprintf(ficlog,"Movingaveraging projected observed prevalence\n");
1.227     brouard  12550:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilavproj)!=0){
                   12551:          fprintf(ficlog," Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   12552:          printf(" Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   12553:        }
1.269     brouard  12554:       }else{
                   12555:        printf("Internal error moving average\n");
                   12556:        fflush(stdout);
                   12557:        exit(1);
1.219     brouard  12558:       }
                   12559:     }/* end if moving average */
1.227     brouard  12560:     
1.126     brouard  12561:     /*---------- Forecasting ------------------*/
1.296     brouard  12562:     if(prevfcast==1){ 
                   12563:       /*   /\*    if(stepm ==1){*\/ */
                   12564:       /*   /\*  anproj1, mproj1, jproj1 either read explicitly or yrfproj *\/ */
                   12565:       /*This done previously after freqsummary.*/
                   12566:       /*   dateprojd=(jproj1+12*mproj1+365*anproj1)/365; */
                   12567:       /*   dateprojf=(jproj2+12*mproj2+365*anproj2)/365; */
                   12568:       
                   12569:       /* } else if (prvforecast==2){ */
                   12570:       /*   /\*    if(stepm ==1){*\/ */
                   12571:       /*   /\*  anproj1, mproj1, jproj1 either read explicitly or yrfproj *\/ */
                   12572:       /* } */
                   12573:       /*prevforecast(fileresu, dateintmean, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, mobaverage, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);*/
                   12574:       prevforecast(fileresu,dateintmean, dateprojd, dateprojf, agemin, agemax, dateprev1, dateprev2, mobilavproj, mobaverage, bage, fage, firstpass, lastpass, p, cptcoveff);
1.126     brouard  12575:     }
1.269     brouard  12576: 
1.296     brouard  12577:     /* Prevbcasting */
                   12578:     if(prevbcast==1){
1.219     brouard  12579:       ddnewms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   12580:       ddoldms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   12581:       ddsavms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);
                   12582: 
                   12583:       /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
                   12584: 
                   12585:       bprlim=matrix(1,nlstate,1,nlstate);
1.269     brouard  12586: 
1.219     brouard  12587:       back_prevalence_limit(p, bprlim,  ageminpar, agemaxpar, ftolpl, &ncvyear, dateprev1, dateprev2, firstpass, lastpass, mobilavproj);
                   12588:       fclose(ficresplb);
                   12589: 
1.222     brouard  12590:       hBijx(p, bage, fage, mobaverage);
                   12591:       fclose(ficrespijb);
1.219     brouard  12592: 
1.296     brouard  12593:       /* /\* prevbackforecast(fileresu, mobaverage, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, *\/ */
                   12594:       /* /\*                  mobilavproj, bage, fage, firstpass, lastpass, anback2, p, cptcoveff); *\/ */
                   12595:       /* prevbackforecast(fileresu, mobaverage, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, */
                   12596:       /*                      mobilavproj, bage, fage, firstpass, lastpass, anback2, p, cptcoveff); */
                   12597:       prevbackforecast(fileresu, mobaverage, dateintmean, dateprojd, dateprojf, agemin, agemax, dateprev1, dateprev2,
                   12598:                       mobilavproj, bage, fage, firstpass, lastpass, p, cptcoveff);
                   12599: 
                   12600:       
1.269     brouard  12601:       varbprlim(fileresu, nresult, mobaverage, mobilavproj, bage, fage, bprlim, &ncvyear, ftolpl, p, matcov, delti, stepm, cptcoveff);
1.268     brouard  12602: 
                   12603:       
1.269     brouard  12604:       free_matrix(bprlim,1,nlstate,1,nlstate); /*here or after loop ? */
1.219     brouard  12605:       free_matrix(ddnewms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   12606:       free_matrix(ddsavms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   12607:       free_matrix(ddoldms, 1, nlstate+ndeath, 1, nlstate+ndeath);
1.296     brouard  12608:     }    /* end  Prevbcasting */
1.268     brouard  12609:  
1.186     brouard  12610:  
                   12611:     /* ------ Other prevalence ratios------------ */
1.126     brouard  12612: 
1.215     brouard  12613:     free_ivector(wav,1,imx);
                   12614:     free_imatrix(dh,1,lastpass-firstpass+2,1,imx);
                   12615:     free_imatrix(bh,1,lastpass-firstpass+2,1,imx);
                   12616:     free_imatrix(mw,1,lastpass-firstpass+2,1,imx);   
1.218     brouard  12617:                
                   12618:                
1.127     brouard  12619:     /*---------- Health expectancies, no variances ------------*/
1.218     brouard  12620:                
1.201     brouard  12621:     strcpy(filerese,"E_");
                   12622:     strcat(filerese,fileresu);
1.126     brouard  12623:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   12624:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   12625:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   12626:     }
1.208     brouard  12627:     printf("Computing Health Expectancies: result on file '%s' ...", filerese);fflush(stdout);
                   12628:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' ...", filerese);fflush(ficlog);
1.238     brouard  12629: 
                   12630:     pstamp(ficreseij);
1.219     brouard  12631:                
1.235     brouard  12632:     i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
                   12633:     if (cptcovn < 1){i1=1;}
                   12634:     
                   12635:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   12636:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  12637:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  12638:        continue;
1.219     brouard  12639:       fprintf(ficreseij,"\n#****** ");
1.235     brouard  12640:       printf("\n#****** ");
1.225     brouard  12641:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  12642:        fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  12643:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12644:       }
                   12645:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12646:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12647:        fprintf(ficreseij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
1.219     brouard  12648:       }
                   12649:       fprintf(ficreseij,"******\n");
1.235     brouard  12650:       printf("******\n");
1.219     brouard  12651:       
                   12652:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   12653:       oldm=oldms;savm=savms;
1.235     brouard  12654:       evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart, nres);  
1.127     brouard  12655:       
1.219     brouard  12656:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.127     brouard  12657:     }
                   12658:     fclose(ficreseij);
1.208     brouard  12659:     printf("done evsij\n");fflush(stdout);
                   12660:     fprintf(ficlog,"done evsij\n");fflush(ficlog);
1.269     brouard  12661: 
1.218     brouard  12662:                
1.227     brouard  12663:     /*---------- State-specific expectancies and variances ------------*/
1.218     brouard  12664:                
1.201     brouard  12665:     strcpy(filerest,"T_");
                   12666:     strcat(filerest,fileresu);
1.127     brouard  12667:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   12668:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   12669:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   12670:     }
1.208     brouard  12671:     printf("Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(stdout);
                   12672:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(ficlog);
1.201     brouard  12673:     strcpy(fileresstde,"STDE_");
                   12674:     strcat(fileresstde,fileresu);
1.126     brouard  12675:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
1.227     brouard  12676:       printf("Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   12677:       fprintf(ficlog,"Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
1.126     brouard  12678:     }
1.227     brouard  12679:     printf("  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   12680:     fprintf(ficlog,"  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
1.126     brouard  12681: 
1.201     brouard  12682:     strcpy(filerescve,"CVE_");
                   12683:     strcat(filerescve,fileresu);
1.126     brouard  12684:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
1.227     brouard  12685:       printf("Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
                   12686:       fprintf(ficlog,"Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
1.126     brouard  12687:     }
1.227     brouard  12688:     printf("    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
                   12689:     fprintf(ficlog,"    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
1.126     brouard  12690: 
1.201     brouard  12691:     strcpy(fileresv,"V_");
                   12692:     strcat(fileresv,fileresu);
1.126     brouard  12693:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   12694:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   12695:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   12696:     }
1.227     brouard  12697:     printf("      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(stdout);
                   12698:     fprintf(ficlog,"      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(ficlog);
1.126     brouard  12699: 
1.235     brouard  12700:     i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
                   12701:     if (cptcovn < 1){i1=1;}
                   12702:     
                   12703:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   12704:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  12705:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  12706:        continue;
1.242     brouard  12707:       printf("\n#****** Result for:");
                   12708:       fprintf(ficrest,"\n#****** Result for:");
                   12709:       fprintf(ficlog,"\n#****** Result for:");
1.227     brouard  12710:       for(j=1;j<=cptcoveff;j++){ 
                   12711:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12712:        fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12713:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12714:       }
1.235     brouard  12715:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12716:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12717:        fprintf(ficrest," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12718:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12719:       }        
1.208     brouard  12720:       fprintf(ficrest,"******\n");
1.227     brouard  12721:       fprintf(ficlog,"******\n");
                   12722:       printf("******\n");
1.208     brouard  12723:       
                   12724:       fprintf(ficresstdeij,"\n#****** ");
                   12725:       fprintf(ficrescveij,"\n#****** ");
1.225     brouard  12726:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  12727:        fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12728:        fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  12729:       }
1.235     brouard  12730:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12731:        fprintf(ficresstdeij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12732:        fprintf(ficrescveij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12733:       }        
1.208     brouard  12734:       fprintf(ficresstdeij,"******\n");
                   12735:       fprintf(ficrescveij,"******\n");
                   12736:       
                   12737:       fprintf(ficresvij,"\n#****** ");
1.238     brouard  12738:       /* pstamp(ficresvij); */
1.225     brouard  12739:       for(j=1;j<=cptcoveff;j++) 
1.227     brouard  12740:        fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  12741:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12742:        fprintf(ficresvij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12743:       }        
1.208     brouard  12744:       fprintf(ficresvij,"******\n");
                   12745:       
                   12746:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   12747:       oldm=oldms;savm=savms;
1.235     brouard  12748:       printf(" cvevsij ");
                   12749:       fprintf(ficlog, " cvevsij ");
                   12750:       cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart, nres);
1.208     brouard  12751:       printf(" end cvevsij \n ");
                   12752:       fprintf(ficlog, " end cvevsij \n ");
                   12753:       
                   12754:       /*
                   12755:        */
                   12756:       /* goto endfree; */
                   12757:       
                   12758:       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   12759:       pstamp(ficrest);
                   12760:       
1.269     brouard  12761:       epj=vector(1,nlstate+1);
1.208     brouard  12762:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.227     brouard  12763:        oldm=oldms;savm=savms; /* ZZ Segmentation fault */
                   12764:        cptcod= 0; /* To be deleted */
                   12765:        printf("varevsij vpopbased=%d \n",vpopbased);
                   12766:        fprintf(ficlog, "varevsij vpopbased=%d \n",vpopbased);
1.235     brouard  12767:        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  12768:        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 ");
                   12769:        if(vpopbased==1)
                   12770:          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);
                   12771:        else
1.288     brouard  12772:          fprintf(ficrest,"the age specific forward period (stable) prevalences in each health state \n");
1.227     brouard  12773:        fprintf(ficrest,"# Age popbased mobilav e.. (std) ");
                   12774:        for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
                   12775:        fprintf(ficrest,"\n");
                   12776:        /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
1.288     brouard  12777:        printf("Computing age specific forward period (stable) prevalences in each health state \n");
                   12778:        fprintf(ficlog,"Computing age specific forward period (stable) prevalences in each health state \n");
1.227     brouard  12779:        for(age=bage; age <=fage ;age++){
1.235     brouard  12780:          prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, &ncvyear, k, nres); /*ZZ Is it the correct prevalim */
1.227     brouard  12781:          if (vpopbased==1) {
                   12782:            if(mobilav ==0){
                   12783:              for(i=1; i<=nlstate;i++)
                   12784:                prlim[i][i]=probs[(int)age][i][k];
                   12785:            }else{ /* mobilav */ 
                   12786:              for(i=1; i<=nlstate;i++)
                   12787:                prlim[i][i]=mobaverage[(int)age][i][k];
                   12788:            }
                   12789:          }
1.219     brouard  12790:          
1.227     brouard  12791:          fprintf(ficrest," %4.0f %d %d",age, vpopbased, mobilav);
                   12792:          /* fprintf(ficrest," %4.0f %d %d %d %d",age, vpopbased, mobilav,Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */ /* to be done */
                   12793:          /* printf(" age %4.0f ",age); */
                   12794:          for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                   12795:            for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   12796:              epj[j] += prlim[i][i]*eij[i][j][(int)age];
                   12797:              /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   12798:              /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
                   12799:            }
                   12800:            epj[nlstate+1] +=epj[j];
                   12801:          }
                   12802:          /* printf(" age %4.0f \n",age); */
1.219     brouard  12803:          
1.227     brouard  12804:          for(i=1, vepp=0.;i <=nlstate;i++)
                   12805:            for(j=1;j <=nlstate;j++)
                   12806:              vepp += vareij[i][j][(int)age];
                   12807:          fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
                   12808:          for(j=1;j <=nlstate;j++){
                   12809:            fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
                   12810:          }
                   12811:          fprintf(ficrest,"\n");
                   12812:        }
1.208     brouard  12813:       } /* End vpopbased */
1.269     brouard  12814:       free_vector(epj,1,nlstate+1);
1.208     brouard  12815:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   12816:       free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.235     brouard  12817:       printf("done selection\n");fflush(stdout);
                   12818:       fprintf(ficlog,"done selection\n");fflush(ficlog);
1.208     brouard  12819:       
1.235     brouard  12820:     } /* End k selection */
1.227     brouard  12821: 
                   12822:     printf("done State-specific expectancies\n");fflush(stdout);
                   12823:     fprintf(ficlog,"done State-specific expectancies\n");fflush(ficlog);
                   12824: 
1.288     brouard  12825:     /* variance-covariance of forward period prevalence*/
1.269     brouard  12826:     varprlim(fileresu, nresult, mobaverage, mobilavproj, bage, fage, prlim, &ncvyear, ftolpl, p, matcov, delti, stepm, cptcoveff);
1.268     brouard  12827: 
1.227     brouard  12828:     
1.290     brouard  12829:     free_vector(weight,firstobs,lastobs);
1.227     brouard  12830:     free_imatrix(Tvard,1,NCOVMAX,1,2);
1.290     brouard  12831:     free_imatrix(s,1,maxwav+1,firstobs,lastobs);
                   12832:     free_matrix(anint,1,maxwav,firstobs,lastobs); 
                   12833:     free_matrix(mint,1,maxwav,firstobs,lastobs);
                   12834:     free_ivector(cod,firstobs,lastobs);
1.227     brouard  12835:     free_ivector(tab,1,NCOVMAX);
                   12836:     fclose(ficresstdeij);
                   12837:     fclose(ficrescveij);
                   12838:     fclose(ficresvij);
                   12839:     fclose(ficrest);
                   12840:     fclose(ficpar);
                   12841:     
                   12842:     
1.126     brouard  12843:     /*---------- End : free ----------------*/
1.219     brouard  12844:     if (mobilav!=0 ||mobilavproj !=0)
1.269     brouard  12845:       free_ma3x(mobaverages,AGEINF, AGESUP,1,nlstate+ndeath, 1,ncovcombmax); /* We need to have a squared matrix with prevalence of the dead! */
                   12846:     free_ma3x(probs,AGEINF,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.220     brouard  12847:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
                   12848:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
1.126     brouard  12849:   }  /* mle==-3 arrives here for freeing */
1.227     brouard  12850:   /* endfree:*/
                   12851:   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   12852:   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   12853:   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
1.290     brouard  12854:   if(ntv+nqtv>=1)free_ma3x(cotvar,1,maxwav,1,ntv+nqtv,firstobs,lastobs);
                   12855:   if(nqtv>=1)free_ma3x(cotqvar,1,maxwav,1,nqtv,firstobs,lastobs);
                   12856:   if(nqv>=1)free_matrix(coqvar,1,nqv,firstobs,lastobs);
                   12857:   free_matrix(covar,0,NCOVMAX,firstobs,lastobs);
1.227     brouard  12858:   free_matrix(matcov,1,npar,1,npar);
                   12859:   free_matrix(hess,1,npar,1,npar);
                   12860:   /*free_vector(delti,1,npar);*/
                   12861:   free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   12862:   free_matrix(agev,1,maxwav,1,imx);
1.269     brouard  12863:   free_ma3x(paramstart,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
1.227     brouard  12864:   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   12865:   
                   12866:   free_ivector(ncodemax,1,NCOVMAX);
                   12867:   free_ivector(ncodemaxwundef,1,NCOVMAX);
                   12868:   free_ivector(Dummy,-1,NCOVMAX);
                   12869:   free_ivector(Fixed,-1,NCOVMAX);
1.238     brouard  12870:   free_ivector(DummyV,1,NCOVMAX);
                   12871:   free_ivector(FixedV,1,NCOVMAX);
1.227     brouard  12872:   free_ivector(Typevar,-1,NCOVMAX);
                   12873:   free_ivector(Tvar,1,NCOVMAX);
1.234     brouard  12874:   free_ivector(TvarsQ,1,NCOVMAX);
                   12875:   free_ivector(TvarsQind,1,NCOVMAX);
                   12876:   free_ivector(TvarsD,1,NCOVMAX);
                   12877:   free_ivector(TvarsDind,1,NCOVMAX);
1.231     brouard  12878:   free_ivector(TvarFD,1,NCOVMAX);
                   12879:   free_ivector(TvarFDind,1,NCOVMAX);
1.232     brouard  12880:   free_ivector(TvarF,1,NCOVMAX);
                   12881:   free_ivector(TvarFind,1,NCOVMAX);
                   12882:   free_ivector(TvarV,1,NCOVMAX);
                   12883:   free_ivector(TvarVind,1,NCOVMAX);
                   12884:   free_ivector(TvarA,1,NCOVMAX);
                   12885:   free_ivector(TvarAind,1,NCOVMAX);
1.231     brouard  12886:   free_ivector(TvarFQ,1,NCOVMAX);
                   12887:   free_ivector(TvarFQind,1,NCOVMAX);
                   12888:   free_ivector(TvarVD,1,NCOVMAX);
                   12889:   free_ivector(TvarVDind,1,NCOVMAX);
                   12890:   free_ivector(TvarVQ,1,NCOVMAX);
                   12891:   free_ivector(TvarVQind,1,NCOVMAX);
1.230     brouard  12892:   free_ivector(Tvarsel,1,NCOVMAX);
                   12893:   free_vector(Tvalsel,1,NCOVMAX);
1.227     brouard  12894:   free_ivector(Tposprod,1,NCOVMAX);
                   12895:   free_ivector(Tprod,1,NCOVMAX);
                   12896:   free_ivector(Tvaraff,1,NCOVMAX);
                   12897:   free_ivector(invalidvarcomb,1,ncovcombmax);
                   12898:   free_ivector(Tage,1,NCOVMAX);
                   12899:   free_ivector(Tmodelind,1,NCOVMAX);
1.228     brouard  12900:   free_ivector(TmodelInvind,1,NCOVMAX);
                   12901:   free_ivector(TmodelInvQind,1,NCOVMAX);
1.227     brouard  12902:   
                   12903:   free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
                   12904:   /* free_imatrix(codtab,1,100,1,10); */
1.126     brouard  12905:   fflush(fichtm);
                   12906:   fflush(ficgp);
                   12907:   
1.227     brouard  12908:   
1.126     brouard  12909:   if((nberr >0) || (nbwarn>0)){
1.216     brouard  12910:     printf("End of Imach with %d errors and/or %d warnings. Please look at the log file for details.\n",nberr,nbwarn);
                   12911:     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  12912:   }else{
                   12913:     printf("End of Imach\n");
                   12914:     fprintf(ficlog,"End of Imach\n");
                   12915:   }
                   12916:   printf("See log file on %s\n",filelog);
                   12917:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  12918:   /*(void) gettimeofday(&end_time,&tzp);*/
                   12919:   rend_time = time(NULL);  
                   12920:   end_time = *localtime(&rend_time);
                   12921:   /* tml = *localtime(&end_time.tm_sec); */
                   12922:   strcpy(strtend,asctime(&end_time));
1.126     brouard  12923:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   12924:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  12925:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.227     brouard  12926:   
1.157     brouard  12927:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   12928:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   12929:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  12930:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   12931: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   12932:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   12933:   fclose(fichtm);
                   12934:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   12935:   fclose(fichtmcov);
                   12936:   fclose(ficgp);
                   12937:   fclose(ficlog);
                   12938:   /*------ End -----------*/
1.227     brouard  12939:   
1.281     brouard  12940: 
                   12941: /* Executes gnuplot */
1.227     brouard  12942:   
                   12943:   printf("Before Current directory %s!\n",pathcd);
1.184     brouard  12944: #ifdef WIN32
1.227     brouard  12945:   if (_chdir(pathcd) != 0)
                   12946:     printf("Can't move to directory %s!\n",path);
                   12947:   if(_getcwd(pathcd,MAXLINE) > 0)
1.184     brouard  12948: #else
1.227     brouard  12949:     if(chdir(pathcd) != 0)
                   12950:       printf("Can't move to directory %s!\n", path);
                   12951:   if (getcwd(pathcd, MAXLINE) > 0)
1.184     brouard  12952: #endif 
1.126     brouard  12953:     printf("Current directory %s!\n",pathcd);
                   12954:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   12955:   sprintf(plotcmd,"gnuplot");
1.157     brouard  12956: #ifdef _WIN32
1.126     brouard  12957:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   12958: #endif
                   12959:   if(!stat(plotcmd,&info)){
1.158     brouard  12960:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  12961:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  12962:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  12963:     }else
                   12964:       strcpy(pplotcmd,plotcmd);
1.157     brouard  12965: #ifdef __unix
1.126     brouard  12966:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   12967:     if(!stat(plotcmd,&info)){
1.158     brouard  12968:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  12969:     }else
                   12970:       strcpy(pplotcmd,plotcmd);
                   12971: #endif
                   12972:   }else
                   12973:     strcpy(pplotcmd,plotcmd);
                   12974:   
                   12975:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  12976:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.292     brouard  12977:   strcpy(pplotcmd,plotcmd);
1.227     brouard  12978:   
1.126     brouard  12979:   if((outcmd=system(plotcmd)) != 0){
1.292     brouard  12980:     printf("Error in gnuplot, command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  12981:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  12982:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.292     brouard  12983:     if((outcmd=system(plotcmd)) != 0){
1.153     brouard  12984:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.292     brouard  12985:       strcpy(plotcmd,pplotcmd);
                   12986:     }
1.126     brouard  12987:   }
1.158     brouard  12988:   printf(" Successful, please wait...");
1.126     brouard  12989:   while (z[0] != 'q') {
                   12990:     /* chdir(path); */
1.154     brouard  12991:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  12992:     scanf("%s",z);
                   12993: /*     if (z[0] == 'c') system("./imach"); */
                   12994:     if (z[0] == 'e') {
1.158     brouard  12995: #ifdef __APPLE__
1.152     brouard  12996:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  12997: #elif __linux
                   12998:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  12999: #else
1.152     brouard  13000:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  13001: #endif
                   13002:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   13003:       system(pplotcmd);
1.126     brouard  13004:     }
                   13005:     else if (z[0] == 'g') system(plotcmd);
                   13006:     else if (z[0] == 'q') exit(0);
                   13007:   }
1.227     brouard  13008: end:
1.126     brouard  13009:   while (z[0] != 'q') {
1.195     brouard  13010:     printf("\nType  q for exiting: "); fflush(stdout);
1.126     brouard  13011:     scanf("%s",z);
                   13012:   }
1.283     brouard  13013:   printf("End\n");
1.282     brouard  13014:   exit(0);
1.126     brouard  13015: }

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