Annotation of imach/src/imach.c, revision 1.300

1.300   ! brouard     1: /* $Id: imach.c,v 1.299 2019/05/22 18:37:08 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.300   ! brouard     4:   Revision 1.299  2019/05/22 18:37:08  brouard
        !             5:   Summary: Cleaned 0.99r19
        !             6: 
1.299     brouard     7:   Revision 1.298  2019/05/22 18:19:56  brouard
                      8:   *** empty log message ***
                      9: 
1.298     brouard    10:   Revision 1.297  2019/05/22 17:56:10  brouard
                     11:   Summary: Fix bug by moving date2dmy and nhstepm which gaefin=-1
                     12: 
1.297     brouard    13:   Revision 1.296  2019/05/20 13:03:18  brouard
                     14:   Summary: Projection syntax simplified
                     15: 
                     16: 
                     17:   We can now start projections, forward or backward, from the mean date
                     18:   of inteviews up to or down to a number of years of projection:
                     19:   prevforecast=1 yearsfproj=15.3 mobil_average=0
                     20:   or
                     21:   prevforecast=1 starting-proj-date=1/1/2007 final-proj-date=12/31/2017 mobil_average=0
                     22:   or
                     23:   prevbackcast=1 yearsbproj=12.3 mobil_average=1
                     24:   or
                     25:   prevbackcast=1 starting-back-date=1/10/1999 final-back-date=1/1/1985 mobil_average=1
                     26: 
1.296     brouard    27:   Revision 1.295  2019/05/18 09:52:50  brouard
                     28:   Summary: doxygen tex bug
                     29: 
1.295     brouard    30:   Revision 1.294  2019/05/16 14:54:33  brouard
                     31:   Summary: There was some wrong lines added
                     32: 
1.294     brouard    33:   Revision 1.293  2019/05/09 15:17:34  brouard
                     34:   *** empty log message ***
                     35: 
1.293     brouard    36:   Revision 1.292  2019/05/09 14:17:20  brouard
                     37:   Summary: Some updates
                     38: 
1.292     brouard    39:   Revision 1.291  2019/05/09 13:44:18  brouard
                     40:   Summary: Before ncovmax
                     41: 
1.291     brouard    42:   Revision 1.290  2019/05/09 13:39:37  brouard
                     43:   Summary: 0.99r18 unlimited number of individuals
                     44: 
                     45:   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.
                     46: 
1.290     brouard    47:   Revision 1.289  2018/12/13 09:16:26  brouard
                     48:   Summary: Bug for young ages (<-30) will be in r17
                     49: 
1.289     brouard    50:   Revision 1.288  2018/05/02 20:58:27  brouard
                     51:   Summary: Some bugs fixed
                     52: 
1.288     brouard    53:   Revision 1.287  2018/05/01 17:57:25  brouard
                     54:   Summary: Bug fixed by providing frequencies only for non missing covariates
                     55: 
1.287     brouard    56:   Revision 1.286  2018/04/27 14:27:04  brouard
                     57:   Summary: some minor bugs
                     58: 
1.286     brouard    59:   Revision 1.285  2018/04/21 21:02:16  brouard
                     60:   Summary: Some bugs fixed, valgrind tested
                     61: 
1.285     brouard    62:   Revision 1.284  2018/04/20 05:22:13  brouard
                     63:   Summary: Computing mean and stdeviation of fixed quantitative variables
                     64: 
1.284     brouard    65:   Revision 1.283  2018/04/19 14:49:16  brouard
                     66:   Summary: Some minor bugs fixed
                     67: 
1.283     brouard    68:   Revision 1.282  2018/02/27 22:50:02  brouard
                     69:   *** empty log message ***
                     70: 
1.282     brouard    71:   Revision 1.281  2018/02/27 19:25:23  brouard
                     72:   Summary: Adding second argument for quitting
                     73: 
1.281     brouard    74:   Revision 1.280  2018/02/21 07:58:13  brouard
                     75:   Summary: 0.99r15
                     76: 
                     77:   New Makefile with recent VirtualBox 5.26. Bug in sqrt negatve in imach.c
                     78: 
1.280     brouard    79:   Revision 1.279  2017/07/20 13:35:01  brouard
                     80:   Summary: temporary working
                     81: 
1.279     brouard    82:   Revision 1.278  2017/07/19 14:09:02  brouard
                     83:   Summary: Bug for mobil_average=0 and prevforecast fixed(?)
                     84: 
1.278     brouard    85:   Revision 1.277  2017/07/17 08:53:49  brouard
                     86:   Summary: BOM files can be read now
                     87: 
1.277     brouard    88:   Revision 1.276  2017/06/30 15:48:31  brouard
                     89:   Summary: Graphs improvements
                     90: 
1.276     brouard    91:   Revision 1.275  2017/06/30 13:39:33  brouard
                     92:   Summary: Saito's color
                     93: 
1.275     brouard    94:   Revision 1.274  2017/06/29 09:47:08  brouard
                     95:   Summary: Version 0.99r14
                     96: 
1.274     brouard    97:   Revision 1.273  2017/06/27 11:06:02  brouard
                     98:   Summary: More documentation on projections
                     99: 
1.273     brouard   100:   Revision 1.272  2017/06/27 10:22:40  brouard
                    101:   Summary: Color of backprojection changed from 6 to 5(yellow)
                    102: 
1.272     brouard   103:   Revision 1.271  2017/06/27 10:17:50  brouard
                    104:   Summary: Some bug with rint
                    105: 
1.271     brouard   106:   Revision 1.270  2017/05/24 05:45:29  brouard
                    107:   *** empty log message ***
                    108: 
1.270     brouard   109:   Revision 1.269  2017/05/23 08:39:25  brouard
                    110:   Summary: Code into subroutine, cleanings
                    111: 
1.269     brouard   112:   Revision 1.268  2017/05/18 20:09:32  brouard
                    113:   Summary: backprojection and confidence intervals of backprevalence
                    114: 
1.268     brouard   115:   Revision 1.267  2017/05/13 10:25:05  brouard
                    116:   Summary: temporary save for backprojection
                    117: 
1.267     brouard   118:   Revision 1.266  2017/05/13 07:26:12  brouard
                    119:   Summary: Version 0.99r13 (improvements and bugs fixed)
                    120: 
1.266     brouard   121:   Revision 1.265  2017/04/26 16:22:11  brouard
                    122:   Summary: imach 0.99r13 Some bugs fixed
                    123: 
1.265     brouard   124:   Revision 1.264  2017/04/26 06:01:29  brouard
                    125:   Summary: Labels in graphs
                    126: 
1.264     brouard   127:   Revision 1.263  2017/04/24 15:23:15  brouard
                    128:   Summary: to save
                    129: 
1.263     brouard   130:   Revision 1.262  2017/04/18 16:48:12  brouard
                    131:   *** empty log message ***
                    132: 
1.262     brouard   133:   Revision 1.261  2017/04/05 10:14:09  brouard
                    134:   Summary: Bug in E_ as well as in T_ fixed nres-1 vs k1-1
                    135: 
1.261     brouard   136:   Revision 1.260  2017/04/04 17:46:59  brouard
                    137:   Summary: Gnuplot indexations fixed (humm)
                    138: 
1.260     brouard   139:   Revision 1.259  2017/04/04 13:01:16  brouard
                    140:   Summary: Some errors to warnings only if date of death is unknown but status is death we could set to pi3
                    141: 
1.259     brouard   142:   Revision 1.258  2017/04/03 10:17:47  brouard
                    143:   Summary: Version 0.99r12
                    144: 
                    145:   Some cleanings, conformed with updated documentation.
                    146: 
1.258     brouard   147:   Revision 1.257  2017/03/29 16:53:30  brouard
                    148:   Summary: Temp
                    149: 
1.257     brouard   150:   Revision 1.256  2017/03/27 05:50:23  brouard
                    151:   Summary: Temporary
                    152: 
1.256     brouard   153:   Revision 1.255  2017/03/08 16:02:28  brouard
                    154:   Summary: IMaCh version 0.99r10 bugs in gnuplot fixed
                    155: 
1.255     brouard   156:   Revision 1.254  2017/03/08 07:13:00  brouard
                    157:   Summary: Fixing data parameter line
                    158: 
1.254     brouard   159:   Revision 1.253  2016/12/15 11:59:41  brouard
                    160:   Summary: 0.99 in progress
                    161: 
1.253     brouard   162:   Revision 1.252  2016/09/15 21:15:37  brouard
                    163:   *** empty log message ***
                    164: 
1.252     brouard   165:   Revision 1.251  2016/09/15 15:01:13  brouard
                    166:   Summary: not working
                    167: 
1.251     brouard   168:   Revision 1.250  2016/09/08 16:07:27  brouard
                    169:   Summary: continue
                    170: 
1.250     brouard   171:   Revision 1.249  2016/09/07 17:14:18  brouard
                    172:   Summary: Starting values from frequencies
                    173: 
1.249     brouard   174:   Revision 1.248  2016/09/07 14:10:18  brouard
                    175:   *** empty log message ***
                    176: 
1.248     brouard   177:   Revision 1.247  2016/09/02 11:11:21  brouard
                    178:   *** empty log message ***
                    179: 
1.247     brouard   180:   Revision 1.246  2016/09/02 08:49:22  brouard
                    181:   *** empty log message ***
                    182: 
1.246     brouard   183:   Revision 1.245  2016/09/02 07:25:01  brouard
                    184:   *** empty log message ***
                    185: 
1.245     brouard   186:   Revision 1.244  2016/09/02 07:17:34  brouard
                    187:   *** empty log message ***
                    188: 
1.244     brouard   189:   Revision 1.243  2016/09/02 06:45:35  brouard
                    190:   *** empty log message ***
                    191: 
1.243     brouard   192:   Revision 1.242  2016/08/30 15:01:20  brouard
                    193:   Summary: Fixing a lots
                    194: 
1.242     brouard   195:   Revision 1.241  2016/08/29 17:17:25  brouard
                    196:   Summary: gnuplot problem in Back projection to fix
                    197: 
1.241     brouard   198:   Revision 1.240  2016/08/29 07:53:18  brouard
                    199:   Summary: Better
                    200: 
1.240     brouard   201:   Revision 1.239  2016/08/26 15:51:03  brouard
                    202:   Summary: Improvement in Powell output in order to copy and paste
                    203: 
                    204:   Author:
                    205: 
1.239     brouard   206:   Revision 1.238  2016/08/26 14:23:35  brouard
                    207:   Summary: Starting tests of 0.99
                    208: 
1.238     brouard   209:   Revision 1.237  2016/08/26 09:20:19  brouard
                    210:   Summary: to valgrind
                    211: 
1.237     brouard   212:   Revision 1.236  2016/08/25 10:50:18  brouard
                    213:   *** empty log message ***
                    214: 
1.236     brouard   215:   Revision 1.235  2016/08/25 06:59:23  brouard
                    216:   *** empty log message ***
                    217: 
1.235     brouard   218:   Revision 1.234  2016/08/23 16:51:20  brouard
                    219:   *** empty log message ***
                    220: 
1.234     brouard   221:   Revision 1.233  2016/08/23 07:40:50  brouard
                    222:   Summary: not working
                    223: 
1.233     brouard   224:   Revision 1.232  2016/08/22 14:20:21  brouard
                    225:   Summary: not working
                    226: 
1.232     brouard   227:   Revision 1.231  2016/08/22 07:17:15  brouard
                    228:   Summary: not working
                    229: 
1.231     brouard   230:   Revision 1.230  2016/08/22 06:55:53  brouard
                    231:   Summary: Not working
                    232: 
1.230     brouard   233:   Revision 1.229  2016/07/23 09:45:53  brouard
                    234:   Summary: Completing for func too
                    235: 
1.229     brouard   236:   Revision 1.228  2016/07/22 17:45:30  brouard
                    237:   Summary: Fixing some arrays, still debugging
                    238: 
1.227     brouard   239:   Revision 1.226  2016/07/12 18:42:34  brouard
                    240:   Summary: temp
                    241: 
1.226     brouard   242:   Revision 1.225  2016/07/12 08:40:03  brouard
                    243:   Summary: saving but not running
                    244: 
1.225     brouard   245:   Revision 1.224  2016/07/01 13:16:01  brouard
                    246:   Summary: Fixes
                    247: 
1.224     brouard   248:   Revision 1.223  2016/02/19 09:23:35  brouard
                    249:   Summary: temporary
                    250: 
1.223     brouard   251:   Revision 1.222  2016/02/17 08:14:50  brouard
                    252:   Summary: Probably last 0.98 stable version 0.98r6
                    253: 
1.222     brouard   254:   Revision 1.221  2016/02/15 23:35:36  brouard
                    255:   Summary: minor bug
                    256: 
1.220     brouard   257:   Revision 1.219  2016/02/15 00:48:12  brouard
                    258:   *** empty log message ***
                    259: 
1.219     brouard   260:   Revision 1.218  2016/02/12 11:29:23  brouard
                    261:   Summary: 0.99 Back projections
                    262: 
1.218     brouard   263:   Revision 1.217  2015/12/23 17:18:31  brouard
                    264:   Summary: Experimental backcast
                    265: 
1.217     brouard   266:   Revision 1.216  2015/12/18 17:32:11  brouard
                    267:   Summary: 0.98r4 Warning and status=-2
                    268: 
                    269:   Version 0.98r4 is now:
                    270:    - displaying an error when status is -1, date of interview unknown and date of death known;
                    271:    - permitting a status -2 when the vital status is unknown at a known date of right truncation.
                    272:   Older changes concerning s=-2, dating from 2005 have been supersed.
                    273: 
1.216     brouard   274:   Revision 1.215  2015/12/16 08:52:24  brouard
                    275:   Summary: 0.98r4 working
                    276: 
1.215     brouard   277:   Revision 1.214  2015/12/16 06:57:54  brouard
                    278:   Summary: temporary not working
                    279: 
1.214     brouard   280:   Revision 1.213  2015/12/11 18:22:17  brouard
                    281:   Summary: 0.98r4
                    282: 
1.213     brouard   283:   Revision 1.212  2015/11/21 12:47:24  brouard
                    284:   Summary: minor typo
                    285: 
1.212     brouard   286:   Revision 1.211  2015/11/21 12:41:11  brouard
                    287:   Summary: 0.98r3 with some graph of projected cross-sectional
                    288: 
                    289:   Author: Nicolas Brouard
                    290: 
1.211     brouard   291:   Revision 1.210  2015/11/18 17:41:20  brouard
1.252     brouard   292:   Summary: Start working on projected prevalences  Revision 1.209  2015/11/17 22:12:03  brouard
1.210     brouard   293:   Summary: Adding ftolpl parameter
                    294:   Author: N Brouard
                    295: 
                    296:   We had difficulties to get smoothed confidence intervals. It was due
                    297:   to the period prevalence which wasn't computed accurately. The inner
                    298:   parameter ftolpl is now an outer parameter of the .imach parameter
                    299:   file after estepm. If ftolpl is small 1.e-4 and estepm too,
                    300:   computation are long.
                    301: 
1.209     brouard   302:   Revision 1.208  2015/11/17 14:31:57  brouard
                    303:   Summary: temporary
                    304: 
1.208     brouard   305:   Revision 1.207  2015/10/27 17:36:57  brouard
                    306:   *** empty log message ***
                    307: 
1.207     brouard   308:   Revision 1.206  2015/10/24 07:14:11  brouard
                    309:   *** empty log message ***
                    310: 
1.206     brouard   311:   Revision 1.205  2015/10/23 15:50:53  brouard
                    312:   Summary: 0.98r3 some clarification for graphs on likelihood contributions
                    313: 
1.205     brouard   314:   Revision 1.204  2015/10/01 16:20:26  brouard
                    315:   Summary: Some new graphs of contribution to likelihood
                    316: 
1.204     brouard   317:   Revision 1.203  2015/09/30 17:45:14  brouard
                    318:   Summary: looking at better estimation of the hessian
                    319: 
                    320:   Also a better criteria for convergence to the period prevalence And
                    321:   therefore adding the number of years needed to converge. (The
                    322:   prevalence in any alive state shold sum to one
                    323: 
1.203     brouard   324:   Revision 1.202  2015/09/22 19:45:16  brouard
                    325:   Summary: Adding some overall graph on contribution to likelihood. Might change
                    326: 
1.202     brouard   327:   Revision 1.201  2015/09/15 17:34:58  brouard
                    328:   Summary: 0.98r0
                    329: 
                    330:   - Some new graphs like suvival functions
                    331:   - Some bugs fixed like model=1+age+V2.
                    332: 
1.201     brouard   333:   Revision 1.200  2015/09/09 16:53:55  brouard
                    334:   Summary: Big bug thanks to Flavia
                    335: 
                    336:   Even model=1+age+V2. did not work anymore
                    337: 
1.200     brouard   338:   Revision 1.199  2015/09/07 14:09:23  brouard
                    339:   Summary: 0.98q6 changing default small png format for graph to vectorized svg.
                    340: 
1.199     brouard   341:   Revision 1.198  2015/09/03 07:14:39  brouard
                    342:   Summary: 0.98q5 Flavia
                    343: 
1.198     brouard   344:   Revision 1.197  2015/09/01 18:24:39  brouard
                    345:   *** empty log message ***
                    346: 
1.197     brouard   347:   Revision 1.196  2015/08/18 23:17:52  brouard
                    348:   Summary: 0.98q5
                    349: 
1.196     brouard   350:   Revision 1.195  2015/08/18 16:28:39  brouard
                    351:   Summary: Adding a hack for testing purpose
                    352: 
                    353:   After reading the title, ftol and model lines, if the comment line has
                    354:   a q, starting with #q, the answer at the end of the run is quit. It
                    355:   permits to run test files in batch with ctest. The former workaround was
                    356:   $ echo q | imach foo.imach
                    357: 
1.195     brouard   358:   Revision 1.194  2015/08/18 13:32:00  brouard
                    359:   Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
                    360: 
1.194     brouard   361:   Revision 1.193  2015/08/04 07:17:42  brouard
                    362:   Summary: 0.98q4
                    363: 
1.193     brouard   364:   Revision 1.192  2015/07/16 16:49:02  brouard
                    365:   Summary: Fixing some outputs
                    366: 
1.192     brouard   367:   Revision 1.191  2015/07/14 10:00:33  brouard
                    368:   Summary: Some fixes
                    369: 
1.191     brouard   370:   Revision 1.190  2015/05/05 08:51:13  brouard
                    371:   Summary: Adding digits in output parameters (7 digits instead of 6)
                    372: 
                    373:   Fix 1+age+.
                    374: 
1.190     brouard   375:   Revision 1.189  2015/04/30 14:45:16  brouard
                    376:   Summary: 0.98q2
                    377: 
1.189     brouard   378:   Revision 1.188  2015/04/30 08:27:53  brouard
                    379:   *** empty log message ***
                    380: 
1.188     brouard   381:   Revision 1.187  2015/04/29 09:11:15  brouard
                    382:   *** empty log message ***
                    383: 
1.187     brouard   384:   Revision 1.186  2015/04/23 12:01:52  brouard
                    385:   Summary: V1*age is working now, version 0.98q1
                    386: 
                    387:   Some codes had been disabled in order to simplify and Vn*age was
                    388:   working in the optimization phase, ie, giving correct MLE parameters,
                    389:   but, as usual, outputs were not correct and program core dumped.
                    390: 
1.186     brouard   391:   Revision 1.185  2015/03/11 13:26:42  brouard
                    392:   Summary: Inclusion of compile and links command line for Intel Compiler
                    393: 
1.185     brouard   394:   Revision 1.184  2015/03/11 11:52:39  brouard
                    395:   Summary: Back from Windows 8. Intel Compiler
                    396: 
1.184     brouard   397:   Revision 1.183  2015/03/10 20:34:32  brouard
                    398:   Summary: 0.98q0, trying with directest, mnbrak fixed
                    399: 
                    400:   We use directest instead of original Powell test; probably no
                    401:   incidence on the results, but better justifications;
                    402:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                    403:   wrong results.
                    404: 
1.183     brouard   405:   Revision 1.182  2015/02/12 08:19:57  brouard
                    406:   Summary: Trying to keep directest which seems simpler and more general
                    407:   Author: Nicolas Brouard
                    408: 
1.182     brouard   409:   Revision 1.181  2015/02/11 23:22:24  brouard
                    410:   Summary: Comments on Powell added
                    411: 
                    412:   Author:
                    413: 
1.181     brouard   414:   Revision 1.180  2015/02/11 17:33:45  brouard
                    415:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                    416: 
1.180     brouard   417:   Revision 1.179  2015/01/04 09:57:06  brouard
                    418:   Summary: back to OS/X
                    419: 
1.179     brouard   420:   Revision 1.178  2015/01/04 09:35:48  brouard
                    421:   *** empty log message ***
                    422: 
1.178     brouard   423:   Revision 1.177  2015/01/03 18:40:56  brouard
                    424:   Summary: Still testing ilc32 on OSX
                    425: 
1.177     brouard   426:   Revision 1.176  2015/01/03 16:45:04  brouard
                    427:   *** empty log message ***
                    428: 
1.176     brouard   429:   Revision 1.175  2015/01/03 16:33:42  brouard
                    430:   *** empty log message ***
                    431: 
1.175     brouard   432:   Revision 1.174  2015/01/03 16:15:49  brouard
                    433:   Summary: Still in cross-compilation
                    434: 
1.174     brouard   435:   Revision 1.173  2015/01/03 12:06:26  brouard
                    436:   Summary: trying to detect cross-compilation
                    437: 
1.173     brouard   438:   Revision 1.172  2014/12/27 12:07:47  brouard
                    439:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                    440: 
1.172     brouard   441:   Revision 1.171  2014/12/23 13:26:59  brouard
                    442:   Summary: Back from Visual C
                    443: 
                    444:   Still problem with utsname.h on Windows
                    445: 
1.171     brouard   446:   Revision 1.170  2014/12/23 11:17:12  brouard
                    447:   Summary: Cleaning some \%% back to %%
                    448: 
                    449:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                    450: 
1.170     brouard   451:   Revision 1.169  2014/12/22 23:08:31  brouard
                    452:   Summary: 0.98p
                    453: 
                    454:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                    455: 
1.169     brouard   456:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard   457:   Summary: update
1.169     brouard   458: 
1.168     brouard   459:   Revision 1.167  2014/12/22 13:50:56  brouard
                    460:   Summary: Testing uname and compiler version and if compiled 32 or 64
                    461: 
                    462:   Testing on Linux 64
                    463: 
1.167     brouard   464:   Revision 1.166  2014/12/22 11:40:47  brouard
                    465:   *** empty log message ***
                    466: 
1.166     brouard   467:   Revision 1.165  2014/12/16 11:20:36  brouard
                    468:   Summary: After compiling on Visual C
                    469: 
                    470:   * imach.c (Module): Merging 1.61 to 1.162
                    471: 
1.165     brouard   472:   Revision 1.164  2014/12/16 10:52:11  brouard
                    473:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    474: 
                    475:   * imach.c (Module): Merging 1.61 to 1.162
                    476: 
1.164     brouard   477:   Revision 1.163  2014/12/16 10:30:11  brouard
                    478:   * imach.c (Module): Merging 1.61 to 1.162
                    479: 
1.163     brouard   480:   Revision 1.162  2014/09/25 11:43:39  brouard
                    481:   Summary: temporary backup 0.99!
                    482: 
1.162     brouard   483:   Revision 1.1  2014/09/16 11:06:58  brouard
                    484:   Summary: With some code (wrong) for nlopt
                    485: 
                    486:   Author:
                    487: 
                    488:   Revision 1.161  2014/09/15 20:41:41  brouard
                    489:   Summary: Problem with macro SQR on Intel compiler
                    490: 
1.161     brouard   491:   Revision 1.160  2014/09/02 09:24:05  brouard
                    492:   *** empty log message ***
                    493: 
1.160     brouard   494:   Revision 1.159  2014/09/01 10:34:10  brouard
                    495:   Summary: WIN32
                    496:   Author: Brouard
                    497: 
1.159     brouard   498:   Revision 1.158  2014/08/27 17:11:51  brouard
                    499:   *** empty log message ***
                    500: 
1.158     brouard   501:   Revision 1.157  2014/08/27 16:26:55  brouard
                    502:   Summary: Preparing windows Visual studio version
                    503:   Author: Brouard
                    504: 
                    505:   In order to compile on Visual studio, time.h is now correct and time_t
                    506:   and tm struct should be used. difftime should be used but sometimes I
                    507:   just make the differences in raw time format (time(&now).
                    508:   Trying to suppress #ifdef LINUX
                    509:   Add xdg-open for __linux in order to open default browser.
                    510: 
1.157     brouard   511:   Revision 1.156  2014/08/25 20:10:10  brouard
                    512:   *** empty log message ***
                    513: 
1.156     brouard   514:   Revision 1.155  2014/08/25 18:32:34  brouard
                    515:   Summary: New compile, minor changes
                    516:   Author: Brouard
                    517: 
1.155     brouard   518:   Revision 1.154  2014/06/20 17:32:08  brouard
                    519:   Summary: Outputs now all graphs of convergence to period prevalence
                    520: 
1.154     brouard   521:   Revision 1.153  2014/06/20 16:45:46  brouard
                    522:   Summary: If 3 live state, convergence to period prevalence on same graph
                    523:   Author: Brouard
                    524: 
1.153     brouard   525:   Revision 1.152  2014/06/18 17:54:09  brouard
                    526:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    527: 
1.152     brouard   528:   Revision 1.151  2014/06/18 16:43:30  brouard
                    529:   *** empty log message ***
                    530: 
1.151     brouard   531:   Revision 1.150  2014/06/18 16:42:35  brouard
                    532:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    533:   Author: brouard
                    534: 
1.150     brouard   535:   Revision 1.149  2014/06/18 15:51:14  brouard
                    536:   Summary: Some fixes in parameter files errors
                    537:   Author: Nicolas Brouard
                    538: 
1.149     brouard   539:   Revision 1.148  2014/06/17 17:38:48  brouard
                    540:   Summary: Nothing new
                    541:   Author: Brouard
                    542: 
                    543:   Just a new packaging for OS/X version 0.98nS
                    544: 
1.148     brouard   545:   Revision 1.147  2014/06/16 10:33:11  brouard
                    546:   *** empty log message ***
                    547: 
1.147     brouard   548:   Revision 1.146  2014/06/16 10:20:28  brouard
                    549:   Summary: Merge
                    550:   Author: Brouard
                    551: 
                    552:   Merge, before building revised version.
                    553: 
1.146     brouard   554:   Revision 1.145  2014/06/10 21:23:15  brouard
                    555:   Summary: Debugging with valgrind
                    556:   Author: Nicolas Brouard
                    557: 
                    558:   Lot of changes in order to output the results with some covariates
                    559:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    560:   improve the code.
                    561:   No more memory valgrind error but a lot has to be done in order to
                    562:   continue the work of splitting the code into subroutines.
                    563:   Also, decodemodel has been improved. Tricode is still not
                    564:   optimal. nbcode should be improved. Documentation has been added in
                    565:   the source code.
                    566: 
1.144     brouard   567:   Revision 1.143  2014/01/26 09:45:38  brouard
                    568:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    569: 
                    570:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    571:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    572: 
1.143     brouard   573:   Revision 1.142  2014/01/26 03:57:36  brouard
                    574:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    575: 
                    576:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    577: 
1.142     brouard   578:   Revision 1.141  2014/01/26 02:42:01  brouard
                    579:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    580: 
1.141     brouard   581:   Revision 1.140  2011/09/02 10:37:54  brouard
                    582:   Summary: times.h is ok with mingw32 now.
                    583: 
1.140     brouard   584:   Revision 1.139  2010/06/14 07:50:17  brouard
                    585:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    586:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    587: 
1.139     brouard   588:   Revision 1.138  2010/04/30 18:19:40  brouard
                    589:   *** empty log message ***
                    590: 
1.138     brouard   591:   Revision 1.137  2010/04/29 18:11:38  brouard
                    592:   (Module): Checking covariates for more complex models
                    593:   than V1+V2. A lot of change to be done. Unstable.
                    594: 
1.137     brouard   595:   Revision 1.136  2010/04/26 20:30:53  brouard
                    596:   (Module): merging some libgsl code. Fixing computation
                    597:   of likelione (using inter/intrapolation if mle = 0) in order to
                    598:   get same likelihood as if mle=1.
                    599:   Some cleaning of code and comments added.
                    600: 
1.136     brouard   601:   Revision 1.135  2009/10/29 15:33:14  brouard
                    602:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    603: 
1.135     brouard   604:   Revision 1.134  2009/10/29 13:18:53  brouard
                    605:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    606: 
1.134     brouard   607:   Revision 1.133  2009/07/06 10:21:25  brouard
                    608:   just nforces
                    609: 
1.133     brouard   610:   Revision 1.132  2009/07/06 08:22:05  brouard
                    611:   Many tings
                    612: 
1.132     brouard   613:   Revision 1.131  2009/06/20 16:22:47  brouard
                    614:   Some dimensions resccaled
                    615: 
1.131     brouard   616:   Revision 1.130  2009/05/26 06:44:34  brouard
                    617:   (Module): Max Covariate is now set to 20 instead of 8. A
                    618:   lot of cleaning with variables initialized to 0. Trying to make
                    619:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    620: 
1.130     brouard   621:   Revision 1.129  2007/08/31 13:49:27  lievre
                    622:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    623: 
1.129     lievre    624:   Revision 1.128  2006/06/30 13:02:05  brouard
                    625:   (Module): Clarifications on computing e.j
                    626: 
1.128     brouard   627:   Revision 1.127  2006/04/28 18:11:50  brouard
                    628:   (Module): Yes the sum of survivors was wrong since
                    629:   imach-114 because nhstepm was no more computed in the age
                    630:   loop. Now we define nhstepma in the age loop.
                    631:   (Module): In order to speed up (in case of numerous covariates) we
                    632:   compute health expectancies (without variances) in a first step
                    633:   and then all the health expectancies with variances or standard
                    634:   deviation (needs data from the Hessian matrices) which slows the
                    635:   computation.
                    636:   In the future we should be able to stop the program is only health
                    637:   expectancies and graph are needed without standard deviations.
                    638: 
1.127     brouard   639:   Revision 1.126  2006/04/28 17:23:28  brouard
                    640:   (Module): Yes the sum of survivors was wrong since
                    641:   imach-114 because nhstepm was no more computed in the age
                    642:   loop. Now we define nhstepma in the age loop.
                    643:   Version 0.98h
                    644: 
1.126     brouard   645:   Revision 1.125  2006/04/04 15:20:31  lievre
                    646:   Errors in calculation of health expectancies. Age was not initialized.
                    647:   Forecasting file added.
                    648: 
                    649:   Revision 1.124  2006/03/22 17:13:53  lievre
                    650:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    651:   The log-likelihood is printed in the log file
                    652: 
                    653:   Revision 1.123  2006/03/20 10:52:43  brouard
                    654:   * imach.c (Module): <title> changed, corresponds to .htm file
                    655:   name. <head> headers where missing.
                    656: 
                    657:   * imach.c (Module): Weights can have a decimal point as for
                    658:   English (a comma might work with a correct LC_NUMERIC environment,
                    659:   otherwise the weight is truncated).
                    660:   Modification of warning when the covariates values are not 0 or
                    661:   1.
                    662:   Version 0.98g
                    663: 
                    664:   Revision 1.122  2006/03/20 09:45:41  brouard
                    665:   (Module): Weights can have a decimal point as for
                    666:   English (a comma might work with a correct LC_NUMERIC environment,
                    667:   otherwise the weight is truncated).
                    668:   Modification of warning when the covariates values are not 0 or
                    669:   1.
                    670:   Version 0.98g
                    671: 
                    672:   Revision 1.121  2006/03/16 17:45:01  lievre
                    673:   * imach.c (Module): Comments concerning covariates added
                    674: 
                    675:   * imach.c (Module): refinements in the computation of lli if
                    676:   status=-2 in order to have more reliable computation if stepm is
                    677:   not 1 month. Version 0.98f
                    678: 
                    679:   Revision 1.120  2006/03/16 15:10:38  lievre
                    680:   (Module): refinements in the computation of lli if
                    681:   status=-2 in order to have more reliable computation if stepm is
                    682:   not 1 month. Version 0.98f
                    683: 
                    684:   Revision 1.119  2006/03/15 17:42:26  brouard
                    685:   (Module): Bug if status = -2, the loglikelihood was
                    686:   computed as likelihood omitting the logarithm. Version O.98e
                    687: 
                    688:   Revision 1.118  2006/03/14 18:20:07  brouard
                    689:   (Module): varevsij Comments added explaining the second
                    690:   table of variances if popbased=1 .
                    691:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    692:   (Module): Function pstamp added
                    693:   (Module): Version 0.98d
                    694: 
                    695:   Revision 1.117  2006/03/14 17:16:22  brouard
                    696:   (Module): varevsij Comments added explaining the second
                    697:   table of variances if popbased=1 .
                    698:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    699:   (Module): Function pstamp added
                    700:   (Module): Version 0.98d
                    701: 
                    702:   Revision 1.116  2006/03/06 10:29:27  brouard
                    703:   (Module): Variance-covariance wrong links and
                    704:   varian-covariance of ej. is needed (Saito).
                    705: 
                    706:   Revision 1.115  2006/02/27 12:17:45  brouard
                    707:   (Module): One freematrix added in mlikeli! 0.98c
                    708: 
                    709:   Revision 1.114  2006/02/26 12:57:58  brouard
                    710:   (Module): Some improvements in processing parameter
                    711:   filename with strsep.
                    712: 
                    713:   Revision 1.113  2006/02/24 14:20:24  brouard
                    714:   (Module): Memory leaks checks with valgrind and:
                    715:   datafile was not closed, some imatrix were not freed and on matrix
                    716:   allocation too.
                    717: 
                    718:   Revision 1.112  2006/01/30 09:55:26  brouard
                    719:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    720: 
                    721:   Revision 1.111  2006/01/25 20:38:18  brouard
                    722:   (Module): Lots of cleaning and bugs added (Gompertz)
                    723:   (Module): Comments can be added in data file. Missing date values
                    724:   can be a simple dot '.'.
                    725: 
                    726:   Revision 1.110  2006/01/25 00:51:50  brouard
                    727:   (Module): Lots of cleaning and bugs added (Gompertz)
                    728: 
                    729:   Revision 1.109  2006/01/24 19:37:15  brouard
                    730:   (Module): Comments (lines starting with a #) are allowed in data.
                    731: 
                    732:   Revision 1.108  2006/01/19 18:05:42  lievre
                    733:   Gnuplot problem appeared...
                    734:   To be fixed
                    735: 
                    736:   Revision 1.107  2006/01/19 16:20:37  brouard
                    737:   Test existence of gnuplot in imach path
                    738: 
                    739:   Revision 1.106  2006/01/19 13:24:36  brouard
                    740:   Some cleaning and links added in html output
                    741: 
                    742:   Revision 1.105  2006/01/05 20:23:19  lievre
                    743:   *** empty log message ***
                    744: 
                    745:   Revision 1.104  2005/09/30 16:11:43  lievre
                    746:   (Module): sump fixed, loop imx fixed, and simplifications.
                    747:   (Module): If the status is missing at the last wave but we know
                    748:   that the person is alive, then we can code his/her status as -2
                    749:   (instead of missing=-1 in earlier versions) and his/her
                    750:   contributions to the likelihood is 1 - Prob of dying from last
                    751:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    752:   the healthy state at last known wave). Version is 0.98
                    753: 
                    754:   Revision 1.103  2005/09/30 15:54:49  lievre
                    755:   (Module): sump fixed, loop imx fixed, and simplifications.
                    756: 
                    757:   Revision 1.102  2004/09/15 17:31:30  brouard
                    758:   Add the possibility to read data file including tab characters.
                    759: 
                    760:   Revision 1.101  2004/09/15 10:38:38  brouard
                    761:   Fix on curr_time
                    762: 
                    763:   Revision 1.100  2004/07/12 18:29:06  brouard
                    764:   Add version for Mac OS X. Just define UNIX in Makefile
                    765: 
                    766:   Revision 1.99  2004/06/05 08:57:40  brouard
                    767:   *** empty log message ***
                    768: 
                    769:   Revision 1.98  2004/05/16 15:05:56  brouard
                    770:   New version 0.97 . First attempt to estimate force of mortality
                    771:   directly from the data i.e. without the need of knowing the health
                    772:   state at each age, but using a Gompertz model: log u =a + b*age .
                    773:   This is the basic analysis of mortality and should be done before any
                    774:   other analysis, in order to test if the mortality estimated from the
                    775:   cross-longitudinal survey is different from the mortality estimated
                    776:   from other sources like vital statistic data.
                    777: 
                    778:   The same imach parameter file can be used but the option for mle should be -3.
                    779: 
1.133     brouard   780:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   781:   former routines in order to include the new code within the former code.
                    782: 
                    783:   The output is very simple: only an estimate of the intercept and of
                    784:   the slope with 95% confident intervals.
                    785: 
                    786:   Current limitations:
                    787:   A) Even if you enter covariates, i.e. with the
                    788:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    789:   B) There is no computation of Life Expectancy nor Life Table.
                    790: 
                    791:   Revision 1.97  2004/02/20 13:25:42  lievre
                    792:   Version 0.96d. Population forecasting command line is (temporarily)
                    793:   suppressed.
                    794: 
                    795:   Revision 1.96  2003/07/15 15:38:55  brouard
                    796:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    797:   rewritten within the same printf. Workaround: many printfs.
                    798: 
                    799:   Revision 1.95  2003/07/08 07:54:34  brouard
                    800:   * imach.c (Repository):
                    801:   (Repository): Using imachwizard code to output a more meaningful covariance
                    802:   matrix (cov(a12,c31) instead of numbers.
                    803: 
                    804:   Revision 1.94  2003/06/27 13:00:02  brouard
                    805:   Just cleaning
                    806: 
                    807:   Revision 1.93  2003/06/25 16:33:55  brouard
                    808:   (Module): On windows (cygwin) function asctime_r doesn't
                    809:   exist so I changed back to asctime which exists.
                    810:   (Module): Version 0.96b
                    811: 
                    812:   Revision 1.92  2003/06/25 16:30:45  brouard
                    813:   (Module): On windows (cygwin) function asctime_r doesn't
                    814:   exist so I changed back to asctime which exists.
                    815: 
                    816:   Revision 1.91  2003/06/25 15:30:29  brouard
                    817:   * imach.c (Repository): Duplicated warning errors corrected.
                    818:   (Repository): Elapsed time after each iteration is now output. It
                    819:   helps to forecast when convergence will be reached. Elapsed time
                    820:   is stamped in powell.  We created a new html file for the graphs
                    821:   concerning matrix of covariance. It has extension -cov.htm.
                    822: 
                    823:   Revision 1.90  2003/06/24 12:34:15  brouard
                    824:   (Module): Some bugs corrected for windows. Also, when
                    825:   mle=-1 a template is output in file "or"mypar.txt with the design
                    826:   of the covariance matrix to be input.
                    827: 
                    828:   Revision 1.89  2003/06/24 12:30:52  brouard
                    829:   (Module): Some bugs corrected for windows. Also, when
                    830:   mle=-1 a template is output in file "or"mypar.txt with the design
                    831:   of the covariance matrix to be input.
                    832: 
                    833:   Revision 1.88  2003/06/23 17:54:56  brouard
                    834:   * 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.
                    835: 
                    836:   Revision 1.87  2003/06/18 12:26:01  brouard
                    837:   Version 0.96
                    838: 
                    839:   Revision 1.86  2003/06/17 20:04:08  brouard
                    840:   (Module): Change position of html and gnuplot routines and added
                    841:   routine fileappend.
                    842: 
                    843:   Revision 1.85  2003/06/17 13:12:43  brouard
                    844:   * imach.c (Repository): Check when date of death was earlier that
                    845:   current date of interview. It may happen when the death was just
                    846:   prior to the death. In this case, dh was negative and likelihood
                    847:   was wrong (infinity). We still send an "Error" but patch by
                    848:   assuming that the date of death was just one stepm after the
                    849:   interview.
                    850:   (Repository): Because some people have very long ID (first column)
                    851:   we changed int to long in num[] and we added a new lvector for
                    852:   memory allocation. But we also truncated to 8 characters (left
                    853:   truncation)
                    854:   (Repository): No more line truncation errors.
                    855: 
                    856:   Revision 1.84  2003/06/13 21:44:43  brouard
                    857:   * imach.c (Repository): Replace "freqsummary" at a correct
                    858:   place. It differs from routine "prevalence" which may be called
                    859:   many times. Probs is memory consuming and must be used with
                    860:   parcimony.
                    861:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    862: 
                    863:   Revision 1.83  2003/06/10 13:39:11  lievre
                    864:   *** empty log message ***
                    865: 
                    866:   Revision 1.82  2003/06/05 15:57:20  brouard
                    867:   Add log in  imach.c and  fullversion number is now printed.
                    868: 
                    869: */
                    870: /*
                    871:    Interpolated Markov Chain
                    872: 
                    873:   Short summary of the programme:
                    874:   
1.227     brouard   875:   This program computes Healthy Life Expectancies or State-specific
                    876:   (if states aren't health statuses) Expectancies from
                    877:   cross-longitudinal data. Cross-longitudinal data consist in: 
                    878: 
                    879:   -1- a first survey ("cross") where individuals from different ages
                    880:   are interviewed on their health status or degree of disability (in
                    881:   the case of a health survey which is our main interest)
                    882: 
                    883:   -2- at least a second wave of interviews ("longitudinal") which
                    884:   measure each change (if any) in individual health status.  Health
                    885:   expectancies are computed from the time spent in each health state
                    886:   according to a model. More health states you consider, more time is
                    887:   necessary to reach the Maximum Likelihood of the parameters involved
                    888:   in the model.  The simplest model is the multinomial logistic model
                    889:   where pij is the probability to be observed in state j at the second
                    890:   wave conditional to be observed in state i at the first
                    891:   wave. Therefore the model is: log(pij/pii)= aij + bij*age+ cij*sex +
                    892:   etc , where 'age' is age and 'sex' is a covariate. If you want to
                    893:   have a more complex model than "constant and age", you should modify
                    894:   the program where the markup *Covariates have to be included here
                    895:   again* invites you to do it.  More covariates you add, slower the
1.126     brouard   896:   convergence.
                    897: 
                    898:   The advantage of this computer programme, compared to a simple
                    899:   multinomial logistic model, is clear when the delay between waves is not
                    900:   identical for each individual. Also, if a individual missed an
                    901:   intermediate interview, the information is lost, but taken into
                    902:   account using an interpolation or extrapolation.  
                    903: 
                    904:   hPijx is the probability to be observed in state i at age x+h
                    905:   conditional to the observed state i at age x. The delay 'h' can be
                    906:   split into an exact number (nh*stepm) of unobserved intermediate
                    907:   states. This elementary transition (by month, quarter,
                    908:   semester or year) is modelled as a multinomial logistic.  The hPx
                    909:   matrix is simply the matrix product of nh*stepm elementary matrices
                    910:   and the contribution of each individual to the likelihood is simply
                    911:   hPijx.
                    912: 
                    913:   Also this programme outputs the covariance matrix of the parameters but also
1.218     brouard   914:   of the life expectancies. It also computes the period (stable) prevalence.
                    915: 
                    916: Back prevalence and projections:
1.227     brouard   917: 
                    918:  - back_prevalence_limit(double *p, double **bprlim, double ageminpar,
                    919:    double agemaxpar, double ftolpl, int *ncvyearp, double
                    920:    dateprev1,double dateprev2, int firstpass, int lastpass, int
                    921:    mobilavproj)
                    922: 
                    923:     Computes the back prevalence limit for any combination of
                    924:     covariate values k at any age between ageminpar and agemaxpar and
                    925:     returns it in **bprlim. In the loops,
                    926: 
                    927:    - **bprevalim(**bprlim, ***mobaverage, nlstate, *p, age, **oldm,
                    928:        **savm, **dnewm, **doldm, **dsavm, ftolpl, ncvyearp, k);
                    929: 
                    930:    - hBijx Back Probability to be in state i at age x-h being in j at x
1.218     brouard   931:    Computes for any combination of covariates k and any age between bage and fage 
                    932:    p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                    933:                        oldm=oldms;savm=savms;
1.227     brouard   934: 
1.267     brouard   935:    - hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k, nres);
1.218     brouard   936:      Computes the transition matrix starting at age 'age' over
                    937:      'nhstepm*hstepm*stepm' months (i.e. until
                    938:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
1.227     brouard   939:      nhstepm*hstepm matrices. 
                    940: 
                    941:      Returns p3mat[i][j][h] after calling
                    942:      p3mat[i][j][h]=matprod2(newm,
                    943:      bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm,
                    944:      dsavm,ij),\ 1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,
                    945:      oldm);
1.226     brouard   946: 
                    947: Important routines
                    948: 
                    949: - func (or funcone), computes logit (pij) distinguishing
                    950:   o fixed variables (single or product dummies or quantitative);
                    951:   o varying variables by:
                    952:    (1) wave (single, product dummies, quantitative), 
                    953:    (2) by age (can be month) age (done), age*age (done), age*Vn where Vn can be:
                    954:        % fixed dummy (treated) or quantitative (not done because time-consuming);
                    955:        % varying dummy (not done) or quantitative (not done);
                    956: - Tricode which tests the modality of dummy variables (in order to warn with wrong or empty modalities)
                    957:   and returns the number of efficient covariates cptcoveff and modalities nbcode[Tvar[k]][1]= 0 and nbcode[Tvar[k]][2]= 1 usually.
                    958: - printinghtml which outputs results like life expectancy in and from a state for a combination of modalities of dummy variables
                    959:   o There are 2*cptcoveff combinations of (0,1) for cptcoveff variables. Outputting only combinations with people, éliminating 1 1 if
                    960:     race White (0 0), Black vs White (1 0), Hispanic (0 1) and 1 1 being meaningless.
1.218     brouard   961: 
1.226     brouard   962: 
                    963:   
1.133     brouard   964:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                    965:            Institut national d'études démographiques, Paris.
1.126     brouard   966:   This software have been partly granted by Euro-REVES, a concerted action
                    967:   from the European Union.
                    968:   It is copyrighted identically to a GNU software product, ie programme and
                    969:   software can be distributed freely for non commercial use. Latest version
                    970:   can be accessed at http://euroreves.ined.fr/imach .
                    971: 
                    972:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                    973:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                    974:   
                    975:   **********************************************************************/
                    976: /*
                    977:   main
                    978:   read parameterfile
                    979:   read datafile
                    980:   concatwav
                    981:   freqsummary
                    982:   if (mle >= 1)
                    983:     mlikeli
                    984:   print results files
                    985:   if mle==1 
                    986:      computes hessian
                    987:   read end of parameter file: agemin, agemax, bage, fage, estepm
                    988:       begin-prev-date,...
                    989:   open gnuplot file
                    990:   open html file
1.145     brouard   991:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                    992:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                    993:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                    994:     freexexit2 possible for memory heap.
                    995: 
                    996:   h Pij x                         | pij_nom  ficrestpij
                    997:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                    998:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                    999:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                   1000: 
                   1001:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                   1002:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                   1003:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                   1004:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                   1005:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                   1006: 
1.126     brouard  1007:   forecasting if prevfcast==1 prevforecast call prevalence()
                   1008:   health expectancies
                   1009:   Variance-covariance of DFLE
                   1010:   prevalence()
                   1011:    movingaverage()
                   1012:   varevsij() 
                   1013:   if popbased==1 varevsij(,popbased)
                   1014:   total life expectancies
                   1015:   Variance of period (stable) prevalence
                   1016:  end
                   1017: */
                   1018: 
1.187     brouard  1019: /* #define DEBUG */
                   1020: /* #define DEBUGBRENT */
1.203     brouard  1021: /* #define DEBUGLINMIN */
                   1022: /* #define DEBUGHESS */
                   1023: #define DEBUGHESSIJ
1.224     brouard  1024: /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan) *\/ */
1.165     brouard  1025: #define POWELL /* Instead of NLOPT */
1.224     brouard  1026: #define POWELLNOF3INFF1TEST /* Skip test */
1.186     brouard  1027: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                   1028: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.126     brouard  1029: 
                   1030: #include <math.h>
                   1031: #include <stdio.h>
                   1032: #include <stdlib.h>
                   1033: #include <string.h>
1.226     brouard  1034: #include <ctype.h>
1.159     brouard  1035: 
                   1036: #ifdef _WIN32
                   1037: #include <io.h>
1.172     brouard  1038: #include <windows.h>
                   1039: #include <tchar.h>
1.159     brouard  1040: #else
1.126     brouard  1041: #include <unistd.h>
1.159     brouard  1042: #endif
1.126     brouard  1043: 
                   1044: #include <limits.h>
                   1045: #include <sys/types.h>
1.171     brouard  1046: 
                   1047: #if defined(__GNUC__)
                   1048: #include <sys/utsname.h> /* Doesn't work on Windows */
                   1049: #endif
                   1050: 
1.126     brouard  1051: #include <sys/stat.h>
                   1052: #include <errno.h>
1.159     brouard  1053: /* extern int errno; */
1.126     brouard  1054: 
1.157     brouard  1055: /* #ifdef LINUX */
                   1056: /* #include <time.h> */
                   1057: /* #include "timeval.h" */
                   1058: /* #else */
                   1059: /* #include <sys/time.h> */
                   1060: /* #endif */
                   1061: 
1.126     brouard  1062: #include <time.h>
                   1063: 
1.136     brouard  1064: #ifdef GSL
                   1065: #include <gsl/gsl_errno.h>
                   1066: #include <gsl/gsl_multimin.h>
                   1067: #endif
                   1068: 
1.167     brouard  1069: 
1.162     brouard  1070: #ifdef NLOPT
                   1071: #include <nlopt.h>
                   1072: typedef struct {
                   1073:   double (* function)(double [] );
                   1074: } myfunc_data ;
                   1075: #endif
                   1076: 
1.126     brouard  1077: /* #include <libintl.h> */
                   1078: /* #define _(String) gettext (String) */
                   1079: 
1.251     brouard  1080: #define MAXLINE 2048 /* Was 256 and 1024. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard  1081: 
                   1082: #define GNUPLOTPROGRAM "gnuplot"
                   1083: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                   1084: #define FILENAMELENGTH 132
                   1085: 
                   1086: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                   1087: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                   1088: 
1.144     brouard  1089: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                   1090: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard  1091: 
                   1092: #define NINTERVMAX 8
1.144     brouard  1093: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                   1094: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
1.291     brouard  1095: #define NCOVMAX 20  /**< Maximum number of covariates, including generated covariates V1*V2 */
1.197     brouard  1096: #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.211     brouard  1097: /*#define decodtabm(h,k,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (k-1)) & 1) +1 : -1)*/
                   1098: #define decodtabm(h,k,cptcoveff) (((h-1) >> (k-1)) & 1) +1 
1.290     brouard  1099: /*#define MAXN 20000 */ /* Should by replaced by nobs, real number of observations and unlimited */
1.144     brouard  1100: #define YEARM 12. /**< Number of months per year */
1.218     brouard  1101: /* #define AGESUP 130 */
1.288     brouard  1102: /* #define AGESUP 150 */
                   1103: #define AGESUP 200
1.268     brouard  1104: #define AGEINF 0
1.218     brouard  1105: #define AGEMARGE 25 /* Marge for agemin and agemax for(iage=agemin-AGEMARGE; iage <= agemax+3+AGEMARGE; iage++) */
1.126     brouard  1106: #define AGEBASE 40
1.194     brouard  1107: #define AGEOVERFLOW 1.e20
1.164     brouard  1108: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard  1109: #ifdef _WIN32
                   1110: #define DIRSEPARATOR '\\'
                   1111: #define CHARSEPARATOR "\\"
                   1112: #define ODIRSEPARATOR '/'
                   1113: #else
1.126     brouard  1114: #define DIRSEPARATOR '/'
                   1115: #define CHARSEPARATOR "/"
                   1116: #define ODIRSEPARATOR '\\'
                   1117: #endif
                   1118: 
1.300   ! brouard  1119: /* $Id: imach.c,v 1.299 2019/05/22 18:37:08 brouard Exp $ */
1.126     brouard  1120: /* $State: Exp $ */
1.196     brouard  1121: #include "version.h"
                   1122: char version[]=__IMACH_VERSION__;
1.300   ! brouard  1123: 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";
        !          1124: char fullversion[]="$Revision: 1.299 $ $Date: 2019/05/22 18:37:08 $"; 
1.126     brouard  1125: char strstart[80];
                   1126: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard  1127: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard  1128: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard  1129: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                   1130: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                   1131: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
1.225     brouard  1132: int cptcovs=0; /**< cptcovs number of simple covariates in the model V2+V1 =2 */
                   1133: int cptcovsnq=0; /**< cptcovsnq number of simple covariates in the model but non quantitative V2+V1 =2 */
1.145     brouard  1134: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                   1135: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                   1136: int cptcoveff=0; /* Total number of covariates to vary for printing results */
1.233     brouard  1137: int ncovf=0; /* Total number of effective fixed covariates (dummy or quantitative) in the model */
                   1138: int ncovv=0; /* Total number of effective (wave) varying covariates (dummy or quantitative) in the model */
1.232     brouard  1139: int ncova=0; /* Total number of effective (wave and stepm) varying with age covariates (dummy of quantitative) in the model */
1.234     brouard  1140: int nsd=0; /**< Total number of single dummy variables (output) */
                   1141: int nsq=0; /**< Total number of single quantitative variables (output) */
1.232     brouard  1142: int ncoveff=0; /* Total number of effective fixed dummy covariates in the model */
1.225     brouard  1143: int nqfveff=0; /**< nqfveff Number of Quantitative Fixed Variables Effective */
1.224     brouard  1144: int ntveff=0; /**< ntveff number of effective time varying variables */
                   1145: int nqtveff=0; /**< ntqveff number of effective time varying quantitative variables */
1.145     brouard  1146: int cptcov=0; /* Working variable */
1.290     brouard  1147: int nobs=10;  /* Number of observations in the data lastobs-firstobs */
1.218     brouard  1148: int ncovcombmax=NCOVMAX; /* Maximum calculated number of covariate combination = pow(2, cptcoveff) */
1.126     brouard  1149: int npar=NPARMAX;
                   1150: int nlstate=2; /* Number of live states */
                   1151: int ndeath=1; /* Number of dead states */
1.130     brouard  1152: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.223     brouard  1153: int  nqv=0, ntv=0, nqtv=0;    /* Total number of quantitative variables, time variable (dummy), quantitative and time variable */ 
1.126     brouard  1154: int popbased=0;
                   1155: 
                   1156: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard  1157: int maxwav=0; /* Maxim number of waves */
                   1158: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                   1159: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                   1160: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard  1161:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard  1162: int mle=1, weightopt=0;
1.126     brouard  1163: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                   1164: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                   1165: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                   1166:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard  1167: int countcallfunc=0;  /* Count the number of calls to func */
1.230     brouard  1168: int selected(int kvar); /* Is covariate kvar selected for printing results */
                   1169: 
1.130     brouard  1170: double jmean=1; /* Mean space between 2 waves */
1.145     brouard  1171: double **matprod2(); /* test */
1.126     brouard  1172: double **oldm, **newm, **savm; /* Working pointers to matrices */
                   1173: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.218     brouard  1174: double  **ddnewms, **ddoldms, **ddsavms; /* for freeing later */
                   1175: 
1.136     brouard  1176: /*FILE *fic ; */ /* Used in readdata only */
1.217     brouard  1177: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficresphtm, *ficresphtmfr, *ficrespl, *ficresplb,*ficrespij, *ficrespijb, *ficrest,*ficresf, *ficresfb,*ficrespop;
1.126     brouard  1178: FILE *ficlog, *ficrespow;
1.130     brouard  1179: int globpr=0; /* Global variable for printing or not */
1.126     brouard  1180: double fretone; /* Only one call to likelihood */
1.130     brouard  1181: long ipmx=0; /* Number of contributions */
1.126     brouard  1182: double sw; /* Sum of weights */
                   1183: char filerespow[FILENAMELENGTH];
                   1184: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                   1185: FILE *ficresilk;
                   1186: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                   1187: FILE *ficresprobmorprev;
                   1188: FILE *fichtm, *fichtmcov; /* Html File */
                   1189: FILE *ficreseij;
                   1190: char filerese[FILENAMELENGTH];
                   1191: FILE *ficresstdeij;
                   1192: char fileresstde[FILENAMELENGTH];
                   1193: FILE *ficrescveij;
                   1194: char filerescve[FILENAMELENGTH];
                   1195: FILE  *ficresvij;
                   1196: char fileresv[FILENAMELENGTH];
1.269     brouard  1197: 
1.126     brouard  1198: char title[MAXLINE];
1.234     brouard  1199: char model[MAXLINE]; /**< The model line */
1.217     brouard  1200: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH],  fileresplb[FILENAMELENGTH];
1.126     brouard  1201: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                   1202: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                   1203: char command[FILENAMELENGTH];
                   1204: int  outcmd=0;
                   1205: 
1.217     brouard  1206: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filerespijb[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
1.202     brouard  1207: char fileresu[FILENAMELENGTH]; /* fileres without r in front */
1.126     brouard  1208: char filelog[FILENAMELENGTH]; /* Log file */
                   1209: char filerest[FILENAMELENGTH];
                   1210: char fileregp[FILENAMELENGTH];
                   1211: char popfile[FILENAMELENGTH];
                   1212: 
                   1213: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                   1214: 
1.157     brouard  1215: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                   1216: /* struct timezone tzp; */
                   1217: /* extern int gettimeofday(); */
                   1218: struct tm tml, *gmtime(), *localtime();
                   1219: 
                   1220: extern time_t time();
                   1221: 
                   1222: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                   1223: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                   1224: struct tm tm;
                   1225: 
1.126     brouard  1226: char strcurr[80], strfor[80];
                   1227: 
                   1228: char *endptr;
                   1229: long lval;
                   1230: double dval;
                   1231: 
                   1232: #define NR_END 1
                   1233: #define FREE_ARG char*
                   1234: #define FTOL 1.0e-10
                   1235: 
                   1236: #define NRANSI 
1.240     brouard  1237: #define ITMAX 200
                   1238: #define ITPOWMAX 20 /* This is now multiplied by the number of parameters */ 
1.126     brouard  1239: 
                   1240: #define TOL 2.0e-4 
                   1241: 
                   1242: #define CGOLD 0.3819660 
                   1243: #define ZEPS 1.0e-10 
                   1244: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                   1245: 
                   1246: #define GOLD 1.618034 
                   1247: #define GLIMIT 100.0 
                   1248: #define TINY 1.0e-20 
                   1249: 
                   1250: static double maxarg1,maxarg2;
                   1251: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                   1252: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                   1253:   
                   1254: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                   1255: #define rint(a) floor(a+0.5)
1.166     brouard  1256: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard  1257: #define mytinydouble 1.0e-16
1.166     brouard  1258: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                   1259: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                   1260: /* static double dsqrarg; */
                   1261: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard  1262: static double sqrarg;
                   1263: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                   1264: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                   1265: int agegomp= AGEGOMP;
                   1266: 
                   1267: int imx; 
                   1268: int stepm=1;
                   1269: /* Stepm, step in month: minimum step interpolation*/
                   1270: 
                   1271: int estepm;
                   1272: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                   1273: 
                   1274: int m,nb;
                   1275: long *num;
1.197     brouard  1276: int firstpass=0, lastpass=4,*cod, *cens;
1.192     brouard  1277: int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                   1278:                   covariate for which somebody answered excluding 
                   1279:                   undefined. Usually 2: 0 and 1. */
                   1280: int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                   1281:                             covariate for which somebody answered including 
                   1282:                             undefined. Usually 3: -1, 0 and 1. */
1.126     brouard  1283: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
1.218     brouard  1284: double **pmmij, ***probs; /* Global pointer */
1.219     brouard  1285: double ***mobaverage, ***mobaverages; /* New global variable */
1.126     brouard  1286: double *ageexmed,*agecens;
                   1287: double dateintmean=0;
1.296     brouard  1288:   double anprojd, mprojd, jprojd; /* For eventual projections */
                   1289:   double anprojf, mprojf, jprojf;
1.126     brouard  1290: 
1.296     brouard  1291:   double anbackd, mbackd, jbackd; /* For eventual backprojections */
                   1292:   double anbackf, mbackf, jbackf;
                   1293:   double jintmean,mintmean,aintmean;  
1.126     brouard  1294: double *weight;
                   1295: int **s; /* Status */
1.141     brouard  1296: double *agedc;
1.145     brouard  1297: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard  1298:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard  1299:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.268     brouard  1300: double **coqvar; /* Fixed quantitative covariate nqv */
                   1301: double ***cotvar; /* Time varying covariate ntv */
1.225     brouard  1302: double ***cotqvar; /* Time varying quantitative covariate itqv */
1.141     brouard  1303: double  idx; 
                   1304: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.234     brouard  1305: /*           V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1306: /*k          1  2   3   4     5    6    7     8    9 */
                   1307: /*Tvar[k]=   5  4   3   6     5    2    7     1    1 */
                   1308: /* Tndvar[k]    1   2   3               4          5 */
                   1309: /*TDvar         4   3   6               7          1 */ /* For outputs only; combination of dummies fixed or varying */
                   1310: /* Tns[k]    1  2   2              4               5 */ /* Number of single cova */
                   1311: /* TvarsD[k]    1   2                              3 */ /* Number of single dummy cova */
                   1312: /* TvarsDind    2   3                              9 */ /* position K of single dummy cova */
                   1313: /* TvarsQ[k] 1                     2                 */ /* Number of single quantitative cova */
                   1314: /* TvarsQind 1                     6                 */ /* position K of single quantitative cova */
                   1315: /* Tprod[i]=k           4               7            */
                   1316: /* Tage[i]=k                  5               8      */
                   1317: /* */
                   1318: /* Type                    */
                   1319: /* V         1  2  3  4  5 */
                   1320: /*           F  F  V  V  V */
                   1321: /*           D  Q  D  D  Q */
                   1322: /*                         */
                   1323: int *TvarsD;
                   1324: int *TvarsDind;
                   1325: int *TvarsQ;
                   1326: int *TvarsQind;
                   1327: 
1.235     brouard  1328: #define MAXRESULTLINES 10
                   1329: int nresult=0;
1.258     brouard  1330: int parameterline=0; /* # of the parameter (type) line */
1.235     brouard  1331: int TKresult[MAXRESULTLINES];
1.237     brouard  1332: int Tresult[MAXRESULTLINES][NCOVMAX];/* For dummy variable , value (output) */
                   1333: int Tinvresult[MAXRESULTLINES][NCOVMAX];/* For dummy variable , value (output) */
1.235     brouard  1334: int Tvresult[MAXRESULTLINES][NCOVMAX]; /* For dummy variable , variable # (output) */
                   1335: double Tqresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , value (output) */
1.237     brouard  1336: double Tqinvresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , value (output) */
1.235     brouard  1337: int Tvqresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , variable # (output) */
                   1338: 
1.234     brouard  1339: /* 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  1340: 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 */
                   1341: 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 */
                   1342: 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 */
                   1343: int *TvarVind; /**< TvarVind[1]=1, TvarVind[2]=2  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1344: 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 */
                   1345: 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  1346: int *TvarFD; /**< TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1347: int *TvarFDind; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1348: int *TvarFQ; /* TvarFQ[1]=V2 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1349: int *TvarFQind; /* TvarFQind[1]=6 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1350: int *TvarVD; /* TvarVD[1]=V5 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1351: int *TvarVDind; /* TvarVDind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1352: 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 */
                   1353: 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 */
                   1354: 
1.230     brouard  1355: int *Tvarsel; /**< Selected covariates for output */
                   1356: double *Tvalsel; /**< Selected modality value of covariate for output */
1.226     brouard  1357: int *Typevar; /**< 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product */
1.227     brouard  1358: int *Fixed; /** Fixed[k] 0=fixed, 1 varying, 2 fixed with age product, 3 varying with age product */ 
                   1359: 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  1360: int *DummyV; /** Dummy[v] 0=dummy (0 1), 1 quantitative */
                   1361: int *FixedV; /** FixedV[v] 0 fixed, 1 varying */
1.197     brouard  1362: int *Tage;
1.227     brouard  1363: int anyvaryingduminmodel=0; /**< Any varying dummy in Model=1 yes, 0 no, to avoid a loop on waves in freq */ 
1.228     brouard  1364: 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  1365: 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*/ 
                   1366: 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  1367: int *Ndum; /** Freq of modality (tricode */
1.200     brouard  1368: /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
1.227     brouard  1369: int **Tvard;
                   1370: int *Tprod;/**< Gives the k position of the k1 product */
1.238     brouard  1371: /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3  */
1.227     brouard  1372: int *Tposprod; /**< Gives the k1 product from the k position */
1.238     brouard  1373:    /* if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2) */
                   1374:    /* Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5(V3*V2)]=2 (2nd product without age) */
1.227     brouard  1375: int cptcovprod, *Tvaraff, *invalidvarcomb;
1.126     brouard  1376: double *lsurv, *lpop, *tpop;
                   1377: 
1.231     brouard  1378: #define FD 1; /* Fixed dummy covariate */
                   1379: #define FQ 2; /* Fixed quantitative covariate */
                   1380: #define FP 3; /* Fixed product covariate */
                   1381: #define FPDD 7; /* Fixed product dummy*dummy covariate */
                   1382: #define FPDQ 8; /* Fixed product dummy*quantitative covariate */
                   1383: #define FPQQ 9; /* Fixed product quantitative*quantitative covariate */
                   1384: #define VD 10; /* Varying dummy covariate */
                   1385: #define VQ 11; /* Varying quantitative covariate */
                   1386: #define VP 12; /* Varying product covariate */
                   1387: #define VPDD 13; /* Varying product dummy*dummy covariate */
                   1388: #define VPDQ 14; /* Varying product dummy*quantitative covariate */
                   1389: #define VPQQ 15; /* Varying product quantitative*quantitative covariate */
                   1390: #define APFD 16; /* Age product * fixed dummy covariate */
                   1391: #define APFQ 17; /* Age product * fixed quantitative covariate */
                   1392: #define APVD 18; /* Age product * varying dummy covariate */
                   1393: #define APVQ 19; /* Age product * varying quantitative covariate */
                   1394: 
                   1395: #define FTYPE 1; /* Fixed covariate */
                   1396: #define VTYPE 2; /* Varying covariate (loop in wave) */
                   1397: #define ATYPE 2; /* Age product covariate (loop in dh within wave)*/
                   1398: 
                   1399: struct kmodel{
                   1400:        int maintype; /* main type */
                   1401:        int subtype; /* subtype */
                   1402: };
                   1403: struct kmodel modell[NCOVMAX];
                   1404: 
1.143     brouard  1405: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                   1406: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard  1407: 
                   1408: /**************** split *************************/
                   1409: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                   1410: {
                   1411:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                   1412:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                   1413:   */ 
                   1414:   char *ss;                            /* pointer */
1.186     brouard  1415:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard  1416: 
                   1417:   l1 = strlen(path );                  /* length of path */
                   1418:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1419:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                   1420:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                   1421:     strcpy( name, path );              /* we got the fullname name because no directory */
                   1422:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                   1423:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                   1424:     /* get current working directory */
                   1425:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard  1426: #ifdef WIN32
                   1427:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                   1428: #else
                   1429:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                   1430: #endif
1.126     brouard  1431:       return( GLOCK_ERROR_GETCWD );
                   1432:     }
                   1433:     /* got dirc from getcwd*/
                   1434:     printf(" DIRC = %s \n",dirc);
1.205     brouard  1435:   } else {                             /* strip directory from path */
1.126     brouard  1436:     ss++;                              /* after this, the filename */
                   1437:     l2 = strlen( ss );                 /* length of filename */
                   1438:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1439:     strcpy( name, ss );                /* save file name */
                   1440:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard  1441:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard  1442:     printf(" DIRC2 = %s \n",dirc);
                   1443:   }
                   1444:   /* We add a separator at the end of dirc if not exists */
                   1445:   l1 = strlen( dirc );                 /* length of directory */
                   1446:   if( dirc[l1-1] != DIRSEPARATOR ){
                   1447:     dirc[l1] =  DIRSEPARATOR;
                   1448:     dirc[l1+1] = 0; 
                   1449:     printf(" DIRC3 = %s \n",dirc);
                   1450:   }
                   1451:   ss = strrchr( name, '.' );           /* find last / */
                   1452:   if (ss >0){
                   1453:     ss++;
                   1454:     strcpy(ext,ss);                    /* save extension */
                   1455:     l1= strlen( name);
                   1456:     l2= strlen(ss)+1;
                   1457:     strncpy( finame, name, l1-l2);
                   1458:     finame[l1-l2]= 0;
                   1459:   }
                   1460: 
                   1461:   return( 0 );                         /* we're done */
                   1462: }
                   1463: 
                   1464: 
                   1465: /******************************************/
                   1466: 
                   1467: void replace_back_to_slash(char *s, char*t)
                   1468: {
                   1469:   int i;
                   1470:   int lg=0;
                   1471:   i=0;
                   1472:   lg=strlen(t);
                   1473:   for(i=0; i<= lg; i++) {
                   1474:     (s[i] = t[i]);
                   1475:     if (t[i]== '\\') s[i]='/';
                   1476:   }
                   1477: }
                   1478: 
1.132     brouard  1479: char *trimbb(char *out, char *in)
1.137     brouard  1480: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard  1481:   char *s;
                   1482:   s=out;
                   1483:   while (*in != '\0'){
1.137     brouard  1484:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard  1485:       in++;
                   1486:     }
                   1487:     *out++ = *in++;
                   1488:   }
                   1489:   *out='\0';
                   1490:   return s;
                   1491: }
                   1492: 
1.187     brouard  1493: /* char *substrchaine(char *out, char *in, char *chain) */
                   1494: /* { */
                   1495: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                   1496: /*   char *s, *t; */
                   1497: /*   t=in;s=out; */
                   1498: /*   while ((*in != *chain) && (*in != '\0')){ */
                   1499: /*     *out++ = *in++; */
                   1500: /*   } */
                   1501: 
                   1502: /*   /\* *in matches *chain *\/ */
                   1503: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                   1504: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1505: /*   } */
                   1506: /*   in--; chain--; */
                   1507: /*   while ( (*in != '\0')){ */
                   1508: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1509: /*     *out++ = *in++; */
                   1510: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1511: /*   } */
                   1512: /*   *out='\0'; */
                   1513: /*   out=s; */
                   1514: /*   return out; */
                   1515: /* } */
                   1516: char *substrchaine(char *out, char *in, char *chain)
                   1517: {
                   1518:   /* Substract chain 'chain' from 'in', return and output 'out' */
                   1519:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                   1520: 
                   1521:   char *strloc;
                   1522: 
                   1523:   strcpy (out, in); 
                   1524:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                   1525:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                   1526:   if(strloc != NULL){ 
                   1527:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                   1528:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                   1529:     /* strcpy (strloc, strloc +strlen(chain));*/
                   1530:   }
                   1531:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                   1532:   return out;
                   1533: }
                   1534: 
                   1535: 
1.145     brouard  1536: char *cutl(char *blocc, char *alocc, char *in, char occ)
                   1537: {
1.187     brouard  1538:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard  1539:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.187     brouard  1540:      gives blocc="abcdef" and alocc="ghi2j".
1.145     brouard  1541:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                   1542:   */
1.160     brouard  1543:   char *s, *t;
1.145     brouard  1544:   t=in;s=in;
                   1545:   while ((*in != occ) && (*in != '\0')){
                   1546:     *alocc++ = *in++;
                   1547:   }
                   1548:   if( *in == occ){
                   1549:     *(alocc)='\0';
                   1550:     s=++in;
                   1551:   }
                   1552:  
                   1553:   if (s == t) {/* occ not found */
                   1554:     *(alocc-(in-s))='\0';
                   1555:     in=s;
                   1556:   }
                   1557:   while ( *in != '\0'){
                   1558:     *blocc++ = *in++;
                   1559:   }
                   1560: 
                   1561:   *blocc='\0';
                   1562:   return t;
                   1563: }
1.137     brouard  1564: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1565: {
1.187     brouard  1566:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1567:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1568:      gives blocc="abcdef2ghi" and alocc="j".
                   1569:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1570:   */
                   1571:   char *s, *t;
                   1572:   t=in;s=in;
                   1573:   while (*in != '\0'){
                   1574:     while( *in == occ){
                   1575:       *blocc++ = *in++;
                   1576:       s=in;
                   1577:     }
                   1578:     *blocc++ = *in++;
                   1579:   }
                   1580:   if (s == t) /* occ not found */
                   1581:     *(blocc-(in-s))='\0';
                   1582:   else
                   1583:     *(blocc-(in-s)-1)='\0';
                   1584:   in=s;
                   1585:   while ( *in != '\0'){
                   1586:     *alocc++ = *in++;
                   1587:   }
                   1588: 
                   1589:   *alocc='\0';
                   1590:   return s;
                   1591: }
                   1592: 
1.126     brouard  1593: int nbocc(char *s, char occ)
                   1594: {
                   1595:   int i,j=0;
                   1596:   int lg=20;
                   1597:   i=0;
                   1598:   lg=strlen(s);
                   1599:   for(i=0; i<= lg; i++) {
1.234     brouard  1600:     if  (s[i] == occ ) j++;
1.126     brouard  1601:   }
                   1602:   return j;
                   1603: }
                   1604: 
1.137     brouard  1605: /* void cutv(char *u,char *v, char*t, char occ) */
                   1606: /* { */
                   1607: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1608: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1609: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1610: /*   int i,lg,j,p=0; */
                   1611: /*   i=0; */
                   1612: /*   lg=strlen(t); */
                   1613: /*   for(j=0; j<=lg-1; j++) { */
                   1614: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1615: /*   } */
1.126     brouard  1616: 
1.137     brouard  1617: /*   for(j=0; j<p; j++) { */
                   1618: /*     (u[j] = t[j]); */
                   1619: /*   } */
                   1620: /*      u[p]='\0'; */
1.126     brouard  1621: 
1.137     brouard  1622: /*    for(j=0; j<= lg; j++) { */
                   1623: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1624: /*   } */
                   1625: /* } */
1.126     brouard  1626: 
1.160     brouard  1627: #ifdef _WIN32
                   1628: char * strsep(char **pp, const char *delim)
                   1629: {
                   1630:   char *p, *q;
                   1631:          
                   1632:   if ((p = *pp) == NULL)
                   1633:     return 0;
                   1634:   if ((q = strpbrk (p, delim)) != NULL)
                   1635:   {
                   1636:     *pp = q + 1;
                   1637:     *q = '\0';
                   1638:   }
                   1639:   else
                   1640:     *pp = 0;
                   1641:   return p;
                   1642: }
                   1643: #endif
                   1644: 
1.126     brouard  1645: /********************** nrerror ********************/
                   1646: 
                   1647: void nrerror(char error_text[])
                   1648: {
                   1649:   fprintf(stderr,"ERREUR ...\n");
                   1650:   fprintf(stderr,"%s\n",error_text);
                   1651:   exit(EXIT_FAILURE);
                   1652: }
                   1653: /*********************** vector *******************/
                   1654: double *vector(int nl, int nh)
                   1655: {
                   1656:   double *v;
                   1657:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1658:   if (!v) nrerror("allocation failure in vector");
                   1659:   return v-nl+NR_END;
                   1660: }
                   1661: 
                   1662: /************************ free vector ******************/
                   1663: void free_vector(double*v, int nl, int nh)
                   1664: {
                   1665:   free((FREE_ARG)(v+nl-NR_END));
                   1666: }
                   1667: 
                   1668: /************************ivector *******************************/
                   1669: int *ivector(long nl,long nh)
                   1670: {
                   1671:   int *v;
                   1672:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1673:   if (!v) nrerror("allocation failure in ivector");
                   1674:   return v-nl+NR_END;
                   1675: }
                   1676: 
                   1677: /******************free ivector **************************/
                   1678: void free_ivector(int *v, long nl, long nh)
                   1679: {
                   1680:   free((FREE_ARG)(v+nl-NR_END));
                   1681: }
                   1682: 
                   1683: /************************lvector *******************************/
                   1684: long *lvector(long nl,long nh)
                   1685: {
                   1686:   long *v;
                   1687:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1688:   if (!v) nrerror("allocation failure in ivector");
                   1689:   return v-nl+NR_END;
                   1690: }
                   1691: 
                   1692: /******************free lvector **************************/
                   1693: void free_lvector(long *v, long nl, long nh)
                   1694: {
                   1695:   free((FREE_ARG)(v+nl-NR_END));
                   1696: }
                   1697: 
                   1698: /******************* imatrix *******************************/
                   1699: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1700:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1701: { 
                   1702:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1703:   int **m; 
                   1704:   
                   1705:   /* allocate pointers to rows */ 
                   1706:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1707:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1708:   m += NR_END; 
                   1709:   m -= nrl; 
                   1710:   
                   1711:   
                   1712:   /* allocate rows and set pointers to them */ 
                   1713:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1714:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1715:   m[nrl] += NR_END; 
                   1716:   m[nrl] -= ncl; 
                   1717:   
                   1718:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1719:   
                   1720:   /* return pointer to array of pointers to rows */ 
                   1721:   return m; 
                   1722: } 
                   1723: 
                   1724: /****************** free_imatrix *************************/
                   1725: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1726:       int **m;
                   1727:       long nch,ncl,nrh,nrl; 
                   1728:      /* free an int matrix allocated by imatrix() */ 
                   1729: { 
                   1730:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1731:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1732: } 
                   1733: 
                   1734: /******************* matrix *******************************/
                   1735: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1736: {
                   1737:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1738:   double **m;
                   1739: 
                   1740:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1741:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1742:   m += NR_END;
                   1743:   m -= nrl;
                   1744: 
                   1745:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1746:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1747:   m[nrl] += NR_END;
                   1748:   m[nrl] -= ncl;
                   1749: 
                   1750:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1751:   return m;
1.145     brouard  1752:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1753: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1754: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1755:    */
                   1756: }
                   1757: 
                   1758: /*************************free matrix ************************/
                   1759: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1760: {
                   1761:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1762:   free((FREE_ARG)(m+nrl-NR_END));
                   1763: }
                   1764: 
                   1765: /******************* ma3x *******************************/
                   1766: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1767: {
                   1768:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1769:   double ***m;
                   1770: 
                   1771:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1772:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1773:   m += NR_END;
                   1774:   m -= nrl;
                   1775: 
                   1776:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1777:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1778:   m[nrl] += NR_END;
                   1779:   m[nrl] -= ncl;
                   1780: 
                   1781:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1782: 
                   1783:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1784:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1785:   m[nrl][ncl] += NR_END;
                   1786:   m[nrl][ncl] -= nll;
                   1787:   for (j=ncl+1; j<=nch; j++) 
                   1788:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1789:   
                   1790:   for (i=nrl+1; i<=nrh; i++) {
                   1791:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1792:     for (j=ncl+1; j<=nch; j++) 
                   1793:       m[i][j]=m[i][j-1]+nlay;
                   1794:   }
                   1795:   return m; 
                   1796:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1797:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1798:   */
                   1799: }
                   1800: 
                   1801: /*************************free ma3x ************************/
                   1802: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1803: {
                   1804:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1805:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1806:   free((FREE_ARG)(m+nrl-NR_END));
                   1807: }
                   1808: 
                   1809: /*************** function subdirf ***********/
                   1810: char *subdirf(char fileres[])
                   1811: {
                   1812:   /* Caution optionfilefiname is hidden */
                   1813:   strcpy(tmpout,optionfilefiname);
                   1814:   strcat(tmpout,"/"); /* Add to the right */
                   1815:   strcat(tmpout,fileres);
                   1816:   return tmpout;
                   1817: }
                   1818: 
                   1819: /*************** function subdirf2 ***********/
                   1820: char *subdirf2(char fileres[], char *preop)
                   1821: {
                   1822:   
                   1823:   /* Caution optionfilefiname is hidden */
                   1824:   strcpy(tmpout,optionfilefiname);
                   1825:   strcat(tmpout,"/");
                   1826:   strcat(tmpout,preop);
                   1827:   strcat(tmpout,fileres);
                   1828:   return tmpout;
                   1829: }
                   1830: 
                   1831: /*************** function subdirf3 ***********/
                   1832: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1833: {
                   1834:   
                   1835:   /* Caution optionfilefiname is hidden */
                   1836:   strcpy(tmpout,optionfilefiname);
                   1837:   strcat(tmpout,"/");
                   1838:   strcat(tmpout,preop);
                   1839:   strcat(tmpout,preop2);
                   1840:   strcat(tmpout,fileres);
                   1841:   return tmpout;
                   1842: }
1.213     brouard  1843:  
                   1844: /*************** function subdirfext ***********/
                   1845: char *subdirfext(char fileres[], char *preop, char *postop)
                   1846: {
                   1847:   
                   1848:   strcpy(tmpout,preop);
                   1849:   strcat(tmpout,fileres);
                   1850:   strcat(tmpout,postop);
                   1851:   return tmpout;
                   1852: }
1.126     brouard  1853: 
1.213     brouard  1854: /*************** function subdirfext3 ***********/
                   1855: char *subdirfext3(char fileres[], char *preop, char *postop)
                   1856: {
                   1857:   
                   1858:   /* Caution optionfilefiname is hidden */
                   1859:   strcpy(tmpout,optionfilefiname);
                   1860:   strcat(tmpout,"/");
                   1861:   strcat(tmpout,preop);
                   1862:   strcat(tmpout,fileres);
                   1863:   strcat(tmpout,postop);
                   1864:   return tmpout;
                   1865: }
                   1866:  
1.162     brouard  1867: char *asc_diff_time(long time_sec, char ascdiff[])
                   1868: {
                   1869:   long sec_left, days, hours, minutes;
                   1870:   days = (time_sec) / (60*60*24);
                   1871:   sec_left = (time_sec) % (60*60*24);
                   1872:   hours = (sec_left) / (60*60) ;
                   1873:   sec_left = (sec_left) %(60*60);
                   1874:   minutes = (sec_left) /60;
                   1875:   sec_left = (sec_left) % (60);
                   1876:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1877:   return ascdiff;
                   1878: }
                   1879: 
1.126     brouard  1880: /***************** f1dim *************************/
                   1881: extern int ncom; 
                   1882: extern double *pcom,*xicom;
                   1883: extern double (*nrfunc)(double []); 
                   1884:  
                   1885: double f1dim(double x) 
                   1886: { 
                   1887:   int j; 
                   1888:   double f;
                   1889:   double *xt; 
                   1890:  
                   1891:   xt=vector(1,ncom); 
                   1892:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   1893:   f=(*nrfunc)(xt); 
                   1894:   free_vector(xt,1,ncom); 
                   1895:   return f; 
                   1896: } 
                   1897: 
                   1898: /*****************brent *************************/
                   1899: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  1900: {
                   1901:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   1902:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   1903:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   1904:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   1905:    * returned function value. 
                   1906:   */
1.126     brouard  1907:   int iter; 
                   1908:   double a,b,d,etemp;
1.159     brouard  1909:   double fu=0,fv,fw,fx;
1.164     brouard  1910:   double ftemp=0.;
1.126     brouard  1911:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   1912:   double e=0.0; 
                   1913:  
                   1914:   a=(ax < cx ? ax : cx); 
                   1915:   b=(ax > cx ? ax : cx); 
                   1916:   x=w=v=bx; 
                   1917:   fw=fv=fx=(*f)(x); 
                   1918:   for (iter=1;iter<=ITMAX;iter++) { 
                   1919:     xm=0.5*(a+b); 
                   1920:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   1921:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   1922:     printf(".");fflush(stdout);
                   1923:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  1924: #ifdef DEBUGBRENT
1.126     brouard  1925:     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);
                   1926:     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);
                   1927:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   1928: #endif
                   1929:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   1930:       *xmin=x; 
                   1931:       return fx; 
                   1932:     } 
                   1933:     ftemp=fu;
                   1934:     if (fabs(e) > tol1) { 
                   1935:       r=(x-w)*(fx-fv); 
                   1936:       q=(x-v)*(fx-fw); 
                   1937:       p=(x-v)*q-(x-w)*r; 
                   1938:       q=2.0*(q-r); 
                   1939:       if (q > 0.0) p = -p; 
                   1940:       q=fabs(q); 
                   1941:       etemp=e; 
                   1942:       e=d; 
                   1943:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
1.224     brouard  1944:                                d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
1.126     brouard  1945:       else { 
1.224     brouard  1946:                                d=p/q; 
                   1947:                                u=x+d; 
                   1948:                                if (u-a < tol2 || b-u < tol2) 
                   1949:                                        d=SIGN(tol1,xm-x); 
1.126     brouard  1950:       } 
                   1951:     } else { 
                   1952:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1953:     } 
                   1954:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   1955:     fu=(*f)(u); 
                   1956:     if (fu <= fx) { 
                   1957:       if (u >= x) a=x; else b=x; 
                   1958:       SHFT(v,w,x,u) 
1.183     brouard  1959:       SHFT(fv,fw,fx,fu) 
                   1960:     } else { 
                   1961:       if (u < x) a=u; else b=u; 
                   1962:       if (fu <= fw || w == x) { 
1.224     brouard  1963:                                v=w; 
                   1964:                                w=u; 
                   1965:                                fv=fw; 
                   1966:                                fw=fu; 
1.183     brouard  1967:       } else if (fu <= fv || v == x || v == w) { 
1.224     brouard  1968:                                v=u; 
                   1969:                                fv=fu; 
1.183     brouard  1970:       } 
                   1971:     } 
1.126     brouard  1972:   } 
                   1973:   nrerror("Too many iterations in brent"); 
                   1974:   *xmin=x; 
                   1975:   return fx; 
                   1976: } 
                   1977: 
                   1978: /****************** mnbrak ***********************/
                   1979: 
                   1980: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   1981:            double (*func)(double)) 
1.183     brouard  1982: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   1983: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   1984: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   1985: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   1986:    */
1.126     brouard  1987:   double ulim,u,r,q, dum;
                   1988:   double fu; 
1.187     brouard  1989: 
                   1990:   double scale=10.;
                   1991:   int iterscale=0;
                   1992: 
                   1993:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   1994:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   1995: 
                   1996: 
                   1997:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   1998:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   1999:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   2000:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   2001:   /* } */
                   2002: 
1.126     brouard  2003:   if (*fb > *fa) { 
                   2004:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  2005:     SHFT(dum,*fb,*fa,dum) 
                   2006:   } 
1.126     brouard  2007:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   2008:   *fc=(*func)(*cx); 
1.183     brouard  2009: #ifdef DEBUG
1.224     brouard  2010:   printf("mnbrak0 a=%lf *fa=%lf, b=%lf *fb=%lf, c=%lf *fc=%lf\n",*ax,*fa,*bx,*fb,*cx, *fc);
                   2011:   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  2012: #endif
1.224     brouard  2013:   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  2014:     r=(*bx-*ax)*(*fb-*fc); 
1.224     brouard  2015:     q=(*bx-*cx)*(*fb-*fa); /* What if fa=inf */
1.126     brouard  2016:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  2017:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   2018:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   2019:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  2020:       fu=(*func)(u); 
1.163     brouard  2021: #ifdef DEBUG
                   2022:       /* f(x)=A(x-u)**2+f(u) */
                   2023:       double A, fparabu; 
                   2024:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   2025:       fparabu= *fa - A*(*ax-u)*(*ax-u);
1.224     brouard  2026:       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);
                   2027:       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  2028:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   2029:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   2030:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   2031:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  2032: #endif 
1.184     brouard  2033: #ifdef MNBRAKORIGINAL
1.183     brouard  2034: #else
1.191     brouard  2035: /*       if (fu > *fc) { */
                   2036: /* #ifdef DEBUG */
                   2037: /*       printf("mnbrak4  fu > fc \n"); */
                   2038: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
                   2039: /* #endif */
                   2040: /*     /\* 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 *\\/  *\/ */
                   2041: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
                   2042: /*     dum=u; /\* Shifting c and u *\/ */
                   2043: /*     u = *cx; */
                   2044: /*     *cx = dum; */
                   2045: /*     dum = fu; */
                   2046: /*     fu = *fc; */
                   2047: /*     *fc =dum; */
                   2048: /*       } else { /\* end *\/ */
                   2049: /* #ifdef DEBUG */
                   2050: /*       printf("mnbrak3  fu < fc \n"); */
                   2051: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
                   2052: /* #endif */
                   2053: /*     dum=u; /\* Shifting c and u *\/ */
                   2054: /*     u = *cx; */
                   2055: /*     *cx = dum; */
                   2056: /*     dum = fu; */
                   2057: /*     fu = *fc; */
                   2058: /*     *fc =dum; */
                   2059: /*       } */
1.224     brouard  2060: #ifdef DEBUGMNBRAK
                   2061:                 double A, fparabu; 
                   2062:      A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   2063:      fparabu= *fa - A*(*ax-u)*(*ax-u);
                   2064:      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);
                   2065:      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  2066: #endif
1.191     brouard  2067:       dum=u; /* Shifting c and u */
                   2068:       u = *cx;
                   2069:       *cx = dum;
                   2070:       dum = fu;
                   2071:       fu = *fc;
                   2072:       *fc =dum;
1.183     brouard  2073: #endif
1.162     brouard  2074:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  2075: #ifdef DEBUG
1.224     brouard  2076:       printf("\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
                   2077:       fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
1.183     brouard  2078: #endif
1.126     brouard  2079:       fu=(*func)(u); 
                   2080:       if (fu < *fc) { 
1.183     brouard  2081: #ifdef DEBUG
1.224     brouard  2082:                                printf("\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   2083:                          fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   2084: #endif
                   2085:                          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
                   2086:                                SHFT(*fb,*fc,fu,(*func)(u)) 
                   2087: #ifdef DEBUG
                   2088:                                        printf("\nmnbrak2 shift GOLD c=%lf",*cx+GOLD*(*cx-*bx));
1.183     brouard  2089: #endif
                   2090:       } 
1.162     brouard  2091:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  2092: #ifdef DEBUG
1.224     brouard  2093:       printf("\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
                   2094:       fprintf(ficlog,"\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
1.183     brouard  2095: #endif
1.126     brouard  2096:       u=ulim; 
                   2097:       fu=(*func)(u); 
1.183     brouard  2098:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   2099: #ifdef DEBUG
1.224     brouard  2100:       printf("\nmnbrak2  u=%lf could be left to b=%lf (if r=%lf > q=%lf parabola has a maximum)\n",u,*bx,r,q);
                   2101:       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  2102: #endif
1.126     brouard  2103:       u=(*cx)+GOLD*(*cx-*bx); 
                   2104:       fu=(*func)(u); 
1.224     brouard  2105: #ifdef DEBUG
                   2106:       printf("\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   2107:       fprintf(ficlog,"\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   2108: #endif
1.183     brouard  2109:     } /* end tests */
1.126     brouard  2110:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  2111:     SHFT(*fa,*fb,*fc,fu) 
                   2112: #ifdef DEBUG
1.224     brouard  2113:       printf("\nmnbrak2 shift (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc);
                   2114:       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  2115: #endif
                   2116:   } /* 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  2117: } 
                   2118: 
                   2119: /*************** linmin ************************/
1.162     brouard  2120: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   2121: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   2122: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   2123: the value of func at the returned location p . This is actually all accomplished by calling the
                   2124: routines mnbrak and brent .*/
1.126     brouard  2125: int ncom; 
                   2126: double *pcom,*xicom;
                   2127: double (*nrfunc)(double []); 
                   2128:  
1.224     brouard  2129: #ifdef LINMINORIGINAL
1.126     brouard  2130: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
1.224     brouard  2131: #else
                   2132: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []), int *flat) 
                   2133: #endif
1.126     brouard  2134: { 
                   2135:   double brent(double ax, double bx, double cx, 
                   2136:               double (*f)(double), double tol, double *xmin); 
                   2137:   double f1dim(double x); 
                   2138:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   2139:              double *fc, double (*func)(double)); 
                   2140:   int j; 
                   2141:   double xx,xmin,bx,ax; 
                   2142:   double fx,fb,fa;
1.187     brouard  2143: 
1.203     brouard  2144: #ifdef LINMINORIGINAL
                   2145: #else
                   2146:   double scale=10., axs, xxs; /* Scale added for infinity */
                   2147: #endif
                   2148:   
1.126     brouard  2149:   ncom=n; 
                   2150:   pcom=vector(1,n); 
                   2151:   xicom=vector(1,n); 
                   2152:   nrfunc=func; 
                   2153:   for (j=1;j<=n;j++) { 
                   2154:     pcom[j]=p[j]; 
1.202     brouard  2155:     xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
1.126     brouard  2156:   } 
1.187     brouard  2157: 
1.203     brouard  2158: #ifdef LINMINORIGINAL
                   2159:   xx=1.;
                   2160: #else
                   2161:   axs=0.0;
                   2162:   xxs=1.;
                   2163:   do{
                   2164:     xx= xxs;
                   2165: #endif
1.187     brouard  2166:     ax=0.;
                   2167:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   2168:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   2169:     /* 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))   */
                   2170:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   2171:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   2172:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   2173:     /* 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  2174: #ifdef LINMINORIGINAL
                   2175: #else
                   2176:     if (fx != fx){
1.224     brouard  2177:                        xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                   2178:                        printf("|");
                   2179:                        fprintf(ficlog,"|");
1.203     brouard  2180: #ifdef DEBUGLINMIN
1.224     brouard  2181:                        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  2182: #endif
                   2183:     }
1.224     brouard  2184:   }while(fx != fx && xxs > 1.e-5);
1.203     brouard  2185: #endif
                   2186:   
1.191     brouard  2187: #ifdef DEBUGLINMIN
                   2188:   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  2189:   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  2190: #endif
1.224     brouard  2191: #ifdef LINMINORIGINAL
                   2192: #else
                   2193:        if(fb == fx){ /* Flat function in the direction */
                   2194:                xmin=xx;
                   2195:     *flat=1;
                   2196:        }else{
                   2197:     *flat=0;
                   2198: #endif
                   2199:                /*Flat mnbrak2 shift (*ax=0.000000000000, *fa=51626.272983130431), (*bx=-1.618034000000, *fb=51590.149499362531), (*cx=-4.236068025156, *fc=51590.149499362531) */
1.187     brouard  2200:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   2201:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   2202:   /* fmin = f(p[j] + xmin * xi[j]) */
                   2203:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   2204:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  2205: #ifdef DEBUG
1.224     brouard  2206:   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);
                   2207:   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);
                   2208: #endif
                   2209: #ifdef LINMINORIGINAL
                   2210: #else
                   2211:                        }
1.126     brouard  2212: #endif
1.191     brouard  2213: #ifdef DEBUGLINMIN
                   2214:   printf("linmin end ");
1.202     brouard  2215:   fprintf(ficlog,"linmin end ");
1.191     brouard  2216: #endif
1.126     brouard  2217:   for (j=1;j<=n;j++) { 
1.203     brouard  2218: #ifdef LINMINORIGINAL
                   2219:     xi[j] *= xmin; 
                   2220: #else
                   2221: #ifdef DEBUGLINMIN
                   2222:     if(xxs <1.0)
                   2223:       printf(" before xi[%d]=%12.8f", j,xi[j]);
                   2224: #endif
                   2225:     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) */
                   2226: #ifdef DEBUGLINMIN
                   2227:     if(xxs <1.0)
                   2228:       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 );
                   2229: #endif
                   2230: #endif
1.187     brouard  2231:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  2232:   } 
1.191     brouard  2233: #ifdef DEBUGLINMIN
1.203     brouard  2234:   printf("\n");
1.191     brouard  2235:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
1.202     brouard  2236:   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  2237:   for (j=1;j<=n;j++) { 
1.202     brouard  2238:     printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   2239:     fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   2240:     if(j % ncovmodel == 0){
1.191     brouard  2241:       printf("\n");
1.202     brouard  2242:       fprintf(ficlog,"\n");
                   2243:     }
1.191     brouard  2244:   }
1.203     brouard  2245: #else
1.191     brouard  2246: #endif
1.126     brouard  2247:   free_vector(xicom,1,n); 
                   2248:   free_vector(pcom,1,n); 
                   2249: } 
                   2250: 
                   2251: 
                   2252: /*************** powell ************************/
1.162     brouard  2253: /*
                   2254: Minimization of a function func of n variables. Input consists of an initial starting point
                   2255: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
                   2256: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
                   2257: such that failure to decrease by more than this amount on one iteration signals doneness. On
                   2258: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   2259: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   2260:  */
1.224     brouard  2261: #ifdef LINMINORIGINAL
                   2262: #else
                   2263:        int *flatdir; /* Function is vanishing in that direction */
1.225     brouard  2264:        int flat=0, flatd=0; /* Function is vanishing in that direction */
1.224     brouard  2265: #endif
1.126     brouard  2266: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   2267:            double (*func)(double [])) 
                   2268: { 
1.224     brouard  2269: #ifdef LINMINORIGINAL
                   2270:  void linmin(double p[], double xi[], int n, double *fret, 
1.126     brouard  2271:              double (*func)(double [])); 
1.224     brouard  2272: #else 
1.241     brouard  2273:  void linmin(double p[], double xi[], int n, double *fret,
                   2274:             double (*func)(double []),int *flat); 
1.224     brouard  2275: #endif
1.239     brouard  2276:  int i,ibig,j,jk,k; 
1.126     brouard  2277:   double del,t,*pt,*ptt,*xit;
1.181     brouard  2278:   double directest;
1.126     brouard  2279:   double fp,fptt;
                   2280:   double *xits;
                   2281:   int niterf, itmp;
1.224     brouard  2282: #ifdef LINMINORIGINAL
                   2283: #else
                   2284: 
                   2285:   flatdir=ivector(1,n); 
                   2286:   for (j=1;j<=n;j++) flatdir[j]=0; 
                   2287: #endif
1.126     brouard  2288: 
                   2289:   pt=vector(1,n); 
                   2290:   ptt=vector(1,n); 
                   2291:   xit=vector(1,n); 
                   2292:   xits=vector(1,n); 
                   2293:   *fret=(*func)(p); 
                   2294:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.202     brouard  2295:   rcurr_time = time(NULL);  
1.126     brouard  2296:   for (*iter=1;;++(*iter)) { 
1.187     brouard  2297:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  2298:     ibig=0; 
                   2299:     del=0.0; 
1.157     brouard  2300:     rlast_time=rcurr_time;
                   2301:     /* (void) gettimeofday(&curr_time,&tzp); */
                   2302:     rcurr_time = time(NULL);  
                   2303:     curr_time = *localtime(&rcurr_time);
                   2304:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   2305:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   2306: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.192     brouard  2307:     for (i=1;i<=n;i++) {
1.126     brouard  2308:       fprintf(ficrespow," %.12lf", p[i]);
                   2309:     }
1.239     brouard  2310:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   2311:     printf("\n#model=  1      +     age ");
                   2312:     fprintf(ficlog,"\n#model=  1      +     age ");
                   2313:     if(nagesqr==1){
1.241     brouard  2314:        printf("  + age*age  ");
                   2315:        fprintf(ficlog,"  + age*age  ");
1.239     brouard  2316:     }
                   2317:     for(j=1;j <=ncovmodel-2;j++){
                   2318:       if(Typevar[j]==0) {
                   2319:        printf("  +      V%d  ",Tvar[j]);
                   2320:        fprintf(ficlog,"  +      V%d  ",Tvar[j]);
                   2321:       }else if(Typevar[j]==1) {
                   2322:        printf("  +    V%d*age ",Tvar[j]);
                   2323:        fprintf(ficlog,"  +    V%d*age ",Tvar[j]);
                   2324:       }else if(Typevar[j]==2) {
                   2325:        printf("  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   2326:        fprintf(ficlog,"  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   2327:       }
                   2328:     }
1.126     brouard  2329:     printf("\n");
1.239     brouard  2330: /*     printf("12   47.0114589    0.0154322   33.2424412    0.3279905    2.3731903  */
                   2331: /* 13  -21.5392400    0.1118147    1.2680506    1.2973408   -1.0663662  */
1.126     brouard  2332:     fprintf(ficlog,"\n");
1.239     brouard  2333:     for(i=1,jk=1; i <=nlstate; i++){
                   2334:       for(k=1; k <=(nlstate+ndeath); k++){
                   2335:        if (k != i) {
                   2336:          printf("%d%d ",i,k);
                   2337:          fprintf(ficlog,"%d%d ",i,k);
                   2338:          for(j=1; j <=ncovmodel; j++){
                   2339:            printf("%12.7f ",p[jk]);
                   2340:            fprintf(ficlog,"%12.7f ",p[jk]);
                   2341:            jk++; 
                   2342:          }
                   2343:          printf("\n");
                   2344:          fprintf(ficlog,"\n");
                   2345:        }
                   2346:       }
                   2347:     }
1.241     brouard  2348:     if(*iter <=3 && *iter >1){
1.157     brouard  2349:       tml = *localtime(&rcurr_time);
                   2350:       strcpy(strcurr,asctime(&tml));
                   2351:       rforecast_time=rcurr_time; 
1.126     brouard  2352:       itmp = strlen(strcurr);
                   2353:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
1.241     brouard  2354:        strcurr[itmp-1]='\0';
1.162     brouard  2355:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  2356:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  2357:       for(niterf=10;niterf<=30;niterf+=10){
1.241     brouard  2358:        rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   2359:        forecast_time = *localtime(&rforecast_time);
                   2360:        strcpy(strfor,asctime(&forecast_time));
                   2361:        itmp = strlen(strfor);
                   2362:        if(strfor[itmp-1]=='\n')
                   2363:          strfor[itmp-1]='\0';
                   2364:        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);
                   2365:        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  2366:       }
                   2367:     }
1.187     brouard  2368:     for (i=1;i<=n;i++) { /* For each direction i */
                   2369:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  2370:       fptt=(*fret); 
                   2371: #ifdef DEBUG
1.203     brouard  2372:       printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   2373:       fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  2374: #endif
1.203     brouard  2375:       printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  2376:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.224     brouard  2377: #ifdef LINMINORIGINAL
1.188     brouard  2378:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
1.224     brouard  2379: #else
                   2380:       linmin(p,xit,n,fret,func,&flat); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   2381:                        flatdir[i]=flat; /* Function is vanishing in that direction i */
                   2382: #endif
                   2383:                        /* Outputs are fret(new point p) p is updated and xit rescaled */
1.188     brouard  2384:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
1.224     brouard  2385:                                /* because that direction will be replaced unless the gain del is small */
                   2386:                                /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   2387:                                /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   2388:                                /* with the new direction. */
                   2389:                                del=fabs(fptt-(*fret)); 
                   2390:                                ibig=i; 
1.126     brouard  2391:       } 
                   2392: #ifdef DEBUG
                   2393:       printf("%d %.12e",i,(*fret));
                   2394:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   2395:       for (j=1;j<=n;j++) {
1.224     brouard  2396:                                xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   2397:                                printf(" x(%d)=%.12e",j,xit[j]);
                   2398:                                fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
1.126     brouard  2399:       }
                   2400:       for(j=1;j<=n;j++) {
1.225     brouard  2401:                                printf(" p(%d)=%.12e",j,p[j]);
                   2402:                                fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  2403:       }
                   2404:       printf("\n");
                   2405:       fprintf(ficlog,"\n");
                   2406: #endif
1.187     brouard  2407:     } /* end loop on each direction i */
                   2408:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  2409:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  2410:     /* New value of last point Pn is not computed, P(n-1) */
1.224     brouard  2411:       for(j=1;j<=n;j++) {
1.225     brouard  2412:                                if(flatdir[j] >0){
                   2413:                                        printf(" p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2414:                                        fprintf(ficlog," p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2415:                                }
                   2416:                                /* printf("\n"); */
                   2417:                                /* fprintf(ficlog,"\n"); */
                   2418:                        }
1.243     brouard  2419:     /* if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /\* Did we reach enough precision? *\/ */
                   2420:     if (2.0*fabs(fp-(*fret)) <= ftol) { /* Did we reach enough precision? */
1.188     brouard  2421:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   2422:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   2423:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   2424:       /* decreased of more than 3.84  */
                   2425:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   2426:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   2427:       /* By adding 10 parameters more the gain should be 18.31 */
1.224     brouard  2428:                        
1.188     brouard  2429:       /* Starting the program with initial values given by a former maximization will simply change */
                   2430:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   2431:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   2432:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  2433: #ifdef DEBUG
                   2434:       int k[2],l;
                   2435:       k[0]=1;
                   2436:       k[1]=-1;
                   2437:       printf("Max: %.12e",(*func)(p));
                   2438:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   2439:       for (j=1;j<=n;j++) {
                   2440:        printf(" %.12e",p[j]);
                   2441:        fprintf(ficlog," %.12e",p[j]);
                   2442:       }
                   2443:       printf("\n");
                   2444:       fprintf(ficlog,"\n");
                   2445:       for(l=0;l<=1;l++) {
                   2446:        for (j=1;j<=n;j++) {
                   2447:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   2448:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2449:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2450:        }
                   2451:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2452:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2453:       }
                   2454: #endif
                   2455: 
1.224     brouard  2456: #ifdef LINMINORIGINAL
                   2457: #else
                   2458:       free_ivector(flatdir,1,n); 
                   2459: #endif
1.126     brouard  2460:       free_vector(xit,1,n); 
                   2461:       free_vector(xits,1,n); 
                   2462:       free_vector(ptt,1,n); 
                   2463:       free_vector(pt,1,n); 
                   2464:       return; 
1.192     brouard  2465:     } /* enough precision */ 
1.240     brouard  2466:     if (*iter == ITMAX*n) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  2467:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  2468:       ptt[j]=2.0*p[j]-pt[j]; 
                   2469:       xit[j]=p[j]-pt[j]; 
                   2470:       pt[j]=p[j]; 
                   2471:     } 
1.181     brouard  2472:     fptt=(*func)(ptt); /* f_3 */
1.224     brouard  2473: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
                   2474:                if (*iter <=4) {
1.225     brouard  2475: #else
                   2476: #endif
1.224     brouard  2477: #ifdef POWELLNOF3INFF1TEST    /* skips test F3 <F1 */
1.192     brouard  2478: #else
1.161     brouard  2479:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.192     brouard  2480: #endif
1.162     brouard  2481:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  2482:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  2483:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   2484:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   2485:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.224     brouard  2486:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del or directest <0 */
                   2487:       /* also  lamda^2=(f1-f2)^2/mu² is a parasite solution of powell */
                   2488:       /* For powell, inclusion of this average direction is only if t(del)<0 or del inbetween mu^2 and lambda^2 */
1.161     brouard  2489:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.224     brouard  2490:       /*  Even if f3 <f1, directest can be negative and t >0 */
                   2491:       /* mu² and del² are equal when f3=f1 */
                   2492:                        /* f3 < f1 : mu² < del <= lambda^2 both test are equivalent */
                   2493:                        /* f3 < f1 : mu² < lambda^2 < del then directtest is negative and powell t is positive */
                   2494:                        /* f3 > f1 : lambda² < mu^2 < del then t is negative and directest >0  */
                   2495:                        /* f3 > f1 : lambda² < del < mu^2 then t is positive and directest >0  */
1.183     brouard  2496: #ifdef NRCORIGINAL
                   2497:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   2498: #else
                   2499:       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  2500:       t= t- del*SQR(fp-fptt);
1.183     brouard  2501: #endif
1.202     brouard  2502:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
1.161     brouard  2503: #ifdef DEBUG
1.181     brouard  2504:       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);
                   2505:       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  2506:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2507:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2508:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2509:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2510:       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);
                   2511:       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);
                   2512: #endif
1.183     brouard  2513: #ifdef POWELLORIGINAL
                   2514:       if (t < 0.0) { /* Then we use it for new direction */
                   2515: #else
1.182     brouard  2516:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.224     brouard  2517:                                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  2518:         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  2519:         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  2520:         fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   2521:       } 
1.181     brouard  2522:       if (directest < 0.0) { /* Then we use it for new direction */
                   2523: #endif
1.191     brouard  2524: #ifdef DEBUGLINMIN
1.234     brouard  2525:        printf("Before linmin in direction P%d-P0\n",n);
                   2526:        for (j=1;j<=n;j++) {
                   2527:          printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2528:          fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2529:          if(j % ncovmodel == 0){
                   2530:            printf("\n");
                   2531:            fprintf(ficlog,"\n");
                   2532:          }
                   2533:        }
1.224     brouard  2534: #endif
                   2535: #ifdef LINMINORIGINAL
1.234     brouard  2536:        linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
1.224     brouard  2537: #else
1.234     brouard  2538:        linmin(p,xit,n,fret,func,&flat); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                   2539:        flatdir[i]=flat; /* Function is vanishing in that direction i */
1.191     brouard  2540: #endif
1.234     brouard  2541:        
1.191     brouard  2542: #ifdef DEBUGLINMIN
1.234     brouard  2543:        for (j=1;j<=n;j++) { 
                   2544:          printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2545:          fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2546:          if(j % ncovmodel == 0){
                   2547:            printf("\n");
                   2548:            fprintf(ficlog,"\n");
                   2549:          }
                   2550:        }
1.224     brouard  2551: #endif
1.234     brouard  2552:        for (j=1;j<=n;j++) { 
                   2553:          xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   2554:          xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
                   2555:        }
1.224     brouard  2556: #ifdef LINMINORIGINAL
                   2557: #else
1.234     brouard  2558:        for (j=1, flatd=0;j<=n;j++) {
                   2559:          if(flatdir[j]>0)
                   2560:            flatd++;
                   2561:        }
                   2562:        if(flatd >0){
1.255     brouard  2563:          printf("%d flat directions: ",flatd);
                   2564:          fprintf(ficlog,"%d flat directions :",flatd);
1.234     brouard  2565:          for (j=1;j<=n;j++) { 
                   2566:            if(flatdir[j]>0){
                   2567:              printf("%d ",j);
                   2568:              fprintf(ficlog,"%d ",j);
                   2569:            }
                   2570:          }
                   2571:          printf("\n");
                   2572:          fprintf(ficlog,"\n");
                   2573:        }
1.191     brouard  2574: #endif
1.234     brouard  2575:        printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2576:        fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2577:        
1.126     brouard  2578: #ifdef DEBUG
1.234     brouard  2579:        printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2580:        fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2581:        for(j=1;j<=n;j++){
                   2582:          printf(" %lf",xit[j]);
                   2583:          fprintf(ficlog," %lf",xit[j]);
                   2584:        }
                   2585:        printf("\n");
                   2586:        fprintf(ficlog,"\n");
1.126     brouard  2587: #endif
1.192     brouard  2588:       } /* end of t or directest negative */
1.224     brouard  2589: #ifdef POWELLNOF3INFF1TEST
1.192     brouard  2590: #else
1.234     brouard  2591:       } /* end if (fptt < fp)  */
1.192     brouard  2592: #endif
1.225     brouard  2593: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
1.234     brouard  2594:     } /*NODIRECTIONCHANGEDUNTILNITER  No change in drections until some iterations are done */
1.225     brouard  2595: #else
1.224     brouard  2596: #endif
1.234     brouard  2597:                } /* loop iteration */ 
1.126     brouard  2598: } 
1.234     brouard  2599:   
1.126     brouard  2600: /**** Prevalence limit (stable or period prevalence)  ****************/
1.234     brouard  2601:   
1.235     brouard  2602:   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  2603:   {
1.279     brouard  2604:     /**< Computes the prevalence limit in each live state at age x and for covariate combination ij 
                   2605:      *   (and selected quantitative values in nres)
                   2606:      *  by left multiplying the unit
                   2607:      *  matrix by transitions matrix until convergence is reached with precision ftolpl 
                   2608:      * Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I
                   2609:      * Wx is row vector: population in state 1, population in state 2, population dead
                   2610:      * or prevalence in state 1, prevalence in state 2, 0
                   2611:      * newm is the matrix after multiplications, its rows are identical at a factor.
                   2612:      * Inputs are the parameter, age, a tolerance for the prevalence limit ftolpl.
                   2613:      * Output is prlim.
                   2614:      * Initial matrix pimij 
                   2615:      */
1.206     brouard  2616:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2617:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2618:   /*  0,                   0                  , 1} */
                   2619:   /*
                   2620:    * and after some iteration: */
                   2621:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2622:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2623:   /*  0,                   0                  , 1} */
                   2624:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2625:   /* {0.51571254859325999, 0.4842874514067399, */
                   2626:   /*  0.51326036147820708, 0.48673963852179264} */
                   2627:   /* If we start from prlim again, prlim tends to a constant matrix */
1.234     brouard  2628:     
1.126     brouard  2629:   int i, ii,j,k;
1.209     brouard  2630:   double *min, *max, *meandiff, maxmax,sumnew=0.;
1.145     brouard  2631:   /* double **matprod2(); */ /* test */
1.218     brouard  2632:   double **out, cov[NCOVMAX+1], **pmij(); /* **pmmij is a global variable feeded with oldms etc */
1.126     brouard  2633:   double **newm;
1.209     brouard  2634:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
1.203     brouard  2635:   int ncvloop=0;
1.288     brouard  2636:   int first=0;
1.169     brouard  2637:   
1.209     brouard  2638:   min=vector(1,nlstate);
                   2639:   max=vector(1,nlstate);
                   2640:   meandiff=vector(1,nlstate);
                   2641: 
1.218     brouard  2642:        /* Starting with matrix unity */
1.126     brouard  2643:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2644:     for (j=1;j<=nlstate+ndeath;j++){
                   2645:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2646:     }
1.169     brouard  2647:   
                   2648:   cov[1]=1.;
                   2649:   
                   2650:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.202     brouard  2651:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.126     brouard  2652:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
1.202     brouard  2653:     ncvloop++;
1.126     brouard  2654:     newm=savm;
                   2655:     /* Covariates have to be included here again */
1.138     brouard  2656:     cov[2]=agefin;
1.187     brouard  2657:     if(nagesqr==1)
                   2658:       cov[3]= agefin*agefin;;
1.234     brouard  2659:     for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   2660:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   2661:       cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
1.235     brouard  2662:       /* 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  2663:     }
                   2664:     for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   2665:                        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
1.235     brouard  2666:       cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   2667:       /* 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  2668:     }
1.237     brouard  2669:     for (k=1; k<=cptcovage;k++){  /* For product with age */
1.234     brouard  2670:       if(Dummy[Tvar[Tage[k]]]){
                   2671:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2672:       } else{
1.235     brouard  2673:        cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
1.234     brouard  2674:       }
1.235     brouard  2675:       /* 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  2676:     }
1.237     brouard  2677:     for (k=1; k<=cptcovprod;k++){ /* For product without age */
1.235     brouard  2678:       /* 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  2679:       if(Dummy[Tvard[k][1]==0]){
                   2680:        if(Dummy[Tvard[k][2]==0]){
                   2681:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2682:        }else{
                   2683:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k];
                   2684:        }
                   2685:       }else{
                   2686:        if(Dummy[Tvard[k][2]==0]){
                   2687:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]];
                   2688:        }else{
                   2689:          cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]];
                   2690:        }
                   2691:       }
1.234     brouard  2692:     }
1.138     brouard  2693:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2694:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2695:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  2696:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2697:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2698:                /* age and covariate values of ij are in 'cov' */
1.142     brouard  2699:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  2700:     
1.126     brouard  2701:     savm=oldm;
                   2702:     oldm=newm;
1.209     brouard  2703: 
                   2704:     for(j=1; j<=nlstate; j++){
                   2705:       max[j]=0.;
                   2706:       min[j]=1.;
                   2707:     }
                   2708:     for(i=1;i<=nlstate;i++){
                   2709:       sumnew=0;
                   2710:       for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   2711:       for(j=1; j<=nlstate; j++){ 
                   2712:        prlim[i][j]= newm[i][j]/(1-sumnew);
                   2713:        max[j]=FMAX(max[j],prlim[i][j]);
                   2714:        min[j]=FMIN(min[j],prlim[i][j]);
                   2715:       }
                   2716:     }
                   2717: 
1.126     brouard  2718:     maxmax=0.;
1.209     brouard  2719:     for(j=1; j<=nlstate; j++){
                   2720:       meandiff[j]=(max[j]-min[j])/(max[j]+min[j])*2.; /* mean difference for each column */
                   2721:       maxmax=FMAX(maxmax,meandiff[j]);
                   2722:       /* 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  2723:     } /* j loop */
1.203     brouard  2724:     *ncvyear= (int)age- (int)agefin;
1.208     brouard  2725:     /* 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  2726:     if(maxmax < ftolpl){
1.209     brouard  2727:       /* printf("maxmax=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
                   2728:       free_vector(min,1,nlstate);
                   2729:       free_vector(max,1,nlstate);
                   2730:       free_vector(meandiff,1,nlstate);
1.126     brouard  2731:       return prlim;
                   2732:     }
1.288     brouard  2733:   } /* agefin loop */
1.208     brouard  2734:     /* After some age loop it doesn't converge */
1.288     brouard  2735:   if(!first){
                   2736:     first=1;
                   2737:     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);
                   2738:   }
                   2739:   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);
                   2740: 
1.209     brouard  2741:   /* 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); */
                   2742:   free_vector(min,1,nlstate);
                   2743:   free_vector(max,1,nlstate);
                   2744:   free_vector(meandiff,1,nlstate);
1.208     brouard  2745:   
1.169     brouard  2746:   return prlim; /* should not reach here */
1.126     brouard  2747: }
                   2748: 
1.217     brouard  2749: 
                   2750:  /**** Back Prevalence limit (stable or period prevalence)  ****************/
                   2751: 
1.218     brouard  2752:  /* 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) */
                   2753:  /* 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  2754:   double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ftolpl, int *ncvyear, int ij, int nres)
1.217     brouard  2755: {
1.264     brouard  2756:   /* 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  2757:      matrix by transitions matrix until convergence is reached with precision ftolpl */
                   2758:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2759:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2760:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2761:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2762:   /* Initial matrix pimij */
                   2763:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2764:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2765:   /*  0,                   0                  , 1} */
                   2766:   /*
                   2767:    * and after some iteration: */
                   2768:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2769:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2770:   /*  0,                   0                  , 1} */
                   2771:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2772:   /* {0.51571254859325999, 0.4842874514067399, */
                   2773:   /*  0.51326036147820708, 0.48673963852179264} */
                   2774:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2775: 
                   2776:   int i, ii,j,k;
1.247     brouard  2777:   int first=0;
1.217     brouard  2778:   double *min, *max, *meandiff, maxmax,sumnew=0.;
                   2779:   /* double **matprod2(); */ /* test */
                   2780:   double **out, cov[NCOVMAX+1], **bmij();
                   2781:   double **newm;
1.218     brouard  2782:   double        **dnewm, **doldm, **dsavm;  /* for use */
                   2783:   double        **oldm, **savm;  /* for use */
                   2784: 
1.217     brouard  2785:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
                   2786:   int ncvloop=0;
                   2787:   
                   2788:   min=vector(1,nlstate);
                   2789:   max=vector(1,nlstate);
                   2790:   meandiff=vector(1,nlstate);
                   2791: 
1.266     brouard  2792:   dnewm=ddnewms; doldm=ddoldms; dsavm=ddsavms;
                   2793:   oldm=oldms; savm=savms;
                   2794:   
                   2795:   /* Starting with matrix unity */
                   2796:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2797:     for (j=1;j<=nlstate+ndeath;j++){
1.217     brouard  2798:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2799:     }
                   2800:   
                   2801:   cov[1]=1.;
                   2802:   
                   2803:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2804:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.218     brouard  2805:   /* for(agefin=age+stepm/YEARM; agefin<=age+delaymax; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
1.288     brouard  2806:   /* for(agefin=age; agefin<AGESUP; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
                   2807:   for(agefin=age; agefin<FMIN(AGESUP,age+delaymax); agefin=agefin+stepm/YEARM){ /* A changer en age */
1.217     brouard  2808:     ncvloop++;
1.218     brouard  2809:     newm=savm; /* oldm should be kept from previous iteration or unity at start */
                   2810:                /* newm points to the allocated table savm passed by the function it can be written, savm could be reallocated */
1.217     brouard  2811:     /* Covariates have to be included here again */
                   2812:     cov[2]=agefin;
                   2813:     if(nagesqr==1)
                   2814:       cov[3]= agefin*agefin;;
1.242     brouard  2815:     for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   2816:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   2817:       cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
1.264     brouard  2818:       /* 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  2819:     }
                   2820:     /* for (k=1; k<=cptcovn;k++) { */
                   2821:     /*   /\* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; *\/ */
                   2822:     /*   cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   2823:     /*   /\* 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])]); *\/ */
                   2824:     /* } */
                   2825:     for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   2826:                        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   2827:       cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   2828:       /* 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]); */
                   2829:     }
                   2830:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2]; */
                   2831:     /* for (k=1; k<=cptcovprod;k++) /\* Useless *\/ */
                   2832:     /*   /\* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; *\/ */
                   2833:     /*   cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)]; */
                   2834:     for (k=1; k<=cptcovage;k++){  /* For product with age */
                   2835:       if(Dummy[Tvar[Tage[k]]]){
                   2836:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2837:       } else{
                   2838:        cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   2839:       }
                   2840:       /* 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]); */
                   2841:     }
                   2842:     for (k=1; k<=cptcovprod;k++){ /* For product without age */
                   2843:       /* 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]); */
                   2844:       if(Dummy[Tvard[k][1]==0]){
                   2845:        if(Dummy[Tvard[k][2]==0]){
                   2846:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2847:        }else{
                   2848:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k];
                   2849:        }
                   2850:       }else{
                   2851:        if(Dummy[Tvard[k][2]==0]){
                   2852:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]];
                   2853:        }else{
                   2854:          cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]];
                   2855:        }
                   2856:       }
1.217     brouard  2857:     }
                   2858:     
                   2859:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2860:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2861:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
                   2862:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2863:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2864:                /* ij should be linked to the correct index of cov */
                   2865:                /* age and covariate values ij are in 'cov', but we need to pass
                   2866:                 * ij for the observed prevalence at age and status and covariate
                   2867:                 * number:  prevacurrent[(int)agefin][ii][ij]
                   2868:                 */
                   2869:     /* 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 *\/ */
                   2870:     /* 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 *\/ */
                   2871:     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  2872:     /* if((int)age == 86 || (int)age == 87){ */
1.266     brouard  2873:     /*   printf(" Backward prevalim age=%d agefin=%d \n", (int) age, (int) agefin); */
                   2874:     /*   for(i=1; i<=nlstate+ndeath; i++) { */
                   2875:     /*         printf("%d newm= ",i); */
                   2876:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2877:     /*           printf("%f ",newm[i][j]); */
                   2878:     /*         } */
                   2879:     /*         printf("oldm * "); */
                   2880:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2881:     /*           printf("%f ",oldm[i][j]); */
                   2882:     /*         } */
1.268     brouard  2883:     /*         printf(" bmmij "); */
1.266     brouard  2884:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2885:     /*           printf("%f ",pmmij[i][j]); */
                   2886:     /*         } */
                   2887:     /*         printf("\n"); */
                   2888:     /*   } */
                   2889:     /* } */
1.217     brouard  2890:     savm=oldm;
                   2891:     oldm=newm;
1.266     brouard  2892: 
1.217     brouard  2893:     for(j=1; j<=nlstate; j++){
                   2894:       max[j]=0.;
                   2895:       min[j]=1.;
                   2896:     }
                   2897:     for(j=1; j<=nlstate; j++){ 
                   2898:       for(i=1;i<=nlstate;i++){
1.234     brouard  2899:        /* bprlim[i][j]= newm[i][j]/(1-sumnew); */
                   2900:        bprlim[i][j]= newm[i][j];
                   2901:        max[i]=FMAX(max[i],bprlim[i][j]); /* Max in line */
                   2902:        min[i]=FMIN(min[i],bprlim[i][j]);
1.217     brouard  2903:       }
                   2904:     }
1.218     brouard  2905:                
1.217     brouard  2906:     maxmax=0.;
                   2907:     for(i=1; i<=nlstate; i++){
                   2908:       meandiff[i]=(max[i]-min[i])/(max[i]+min[i])*2.; /* mean difference for each column */
                   2909:       maxmax=FMAX(maxmax,meandiff[i]);
                   2910:       /* 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  2911:     } /* i loop */
1.217     brouard  2912:     *ncvyear= -( (int)age- (int)agefin);
1.268     brouard  2913:     /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  2914:     if(maxmax < ftolpl){
1.220     brouard  2915:       /* printf("OK Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  2916:       free_vector(min,1,nlstate);
                   2917:       free_vector(max,1,nlstate);
                   2918:       free_vector(meandiff,1,nlstate);
                   2919:       return bprlim;
                   2920:     }
1.288     brouard  2921:   } /* agefin loop */
1.217     brouard  2922:     /* After some age loop it doesn't converge */
1.288     brouard  2923:   if(!first){
1.247     brouard  2924:     first=1;
                   2925:     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\
                   2926: 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);
                   2927:   }
                   2928:   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  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:   /* 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); */
                   2931:   free_vector(min,1,nlstate);
                   2932:   free_vector(max,1,nlstate);
                   2933:   free_vector(meandiff,1,nlstate);
                   2934:   
                   2935:   return bprlim; /* should not reach here */
                   2936: }
                   2937: 
1.126     brouard  2938: /*************** transition probabilities ***************/ 
                   2939: 
                   2940: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   2941: {
1.138     brouard  2942:   /* According to parameters values stored in x and the covariate's values stored in cov,
1.266     brouard  2943:      computes the probability to be observed in state j (after stepm years) being in state i by appying the
1.138     brouard  2944:      model to the ncovmodel covariates (including constant and age).
                   2945:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2946:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2947:      ncth covariate in the global vector x is given by the formula:
                   2948:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2949:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2950:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2951:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
1.266     brouard  2952:      Outputs ps[i][j] or probability to be observed in j being in i according to
1.138     brouard  2953:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
1.266     brouard  2954:      Sum on j ps[i][j] should equal to 1.
1.138     brouard  2955:   */
                   2956:   double s1, lnpijopii;
1.126     brouard  2957:   /*double t34;*/
1.164     brouard  2958:   int i,j, nc, ii, jj;
1.126     brouard  2959: 
1.223     brouard  2960:   for(i=1; i<= nlstate; i++){
                   2961:     for(j=1; j<i;j++){
                   2962:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2963:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   2964:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   2965:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2966:       }
                   2967:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2968:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2969:     }
                   2970:     for(j=i+1; j<=nlstate+ndeath;j++){
                   2971:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2972:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   2973:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   2974:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   2975:       }
                   2976:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2977:     }
                   2978:   }
1.218     brouard  2979:   
1.223     brouard  2980:   for(i=1; i<= nlstate; i++){
                   2981:     s1=0;
                   2982:     for(j=1; j<i; j++){
                   2983:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2984:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2985:     }
                   2986:     for(j=i+1; j<=nlstate+ndeath; j++){
                   2987:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2988:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2989:     }
                   2990:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   2991:     ps[i][i]=1./(s1+1.);
                   2992:     /* Computing other pijs */
                   2993:     for(j=1; j<i; j++)
                   2994:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2995:     for(j=i+1; j<=nlstate+ndeath; j++)
                   2996:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2997:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2998:   } /* end i */
1.218     brouard  2999:   
1.223     brouard  3000:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   3001:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   3002:       ps[ii][jj]=0;
                   3003:       ps[ii][ii]=1;
                   3004:     }
                   3005:   }
1.294     brouard  3006: 
                   3007: 
1.223     brouard  3008:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   3009:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   3010:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   3011:   /*   } */
                   3012:   /*   printf("\n "); */
                   3013:   /* } */
                   3014:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   3015:   /*
                   3016:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
1.218     brouard  3017:                goto end;*/
1.266     brouard  3018:   return ps; /* Pointer is unchanged since its call */
1.126     brouard  3019: }
                   3020: 
1.218     brouard  3021: /*************** backward transition probabilities ***************/ 
                   3022: 
                   3023:  /* 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 ) */
                   3024: /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ***dnewm, double **doldm, double **dsavm, int ij ) */
                   3025:  double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, int ij )
                   3026: {
1.266     brouard  3027:   /* Computes the backward probability at age agefin and covariate combination ij. In fact cov is already filled and x too.
                   3028:    * 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  3029:    */
1.218     brouard  3030:   int i, ii, j,k;
1.222     brouard  3031:   
                   3032:   double **out, **pmij();
                   3033:   double sumnew=0.;
1.218     brouard  3034:   double agefin;
1.292     brouard  3035:   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  3036:   double **dnewm, **dsavm, **doldm;
                   3037:   double **bbmij;
                   3038:   
1.218     brouard  3039:   doldm=ddoldms; /* global pointers */
1.222     brouard  3040:   dnewm=ddnewms;
                   3041:   dsavm=ddsavms;
                   3042:   
                   3043:   agefin=cov[2];
1.268     brouard  3044:   /* Bx = Diag(w_x) P_x Diag(Sum_i w^i_x p^ij_x */
1.222     brouard  3045:   /* bmij *//* age is cov[2], ij is included in cov, but we need for
1.266     brouard  3046:      the observed prevalence (with this covariate ij) at beginning of transition */
                   3047:   /* dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
1.268     brouard  3048: 
                   3049:   /* P_x */
1.266     brouard  3050:   pmmij=pmij(pmmij,cov,ncovmodel,x,nlstate); /*This is forward probability from agefin to agefin + stepm */
1.268     brouard  3051:   /* outputs pmmij which is a stochastic matrix in row */
                   3052: 
                   3053:   /* Diag(w_x) */
1.292     brouard  3054:   /* Rescaling the cross-sectional prevalence: Problem with prevacurrent which can be zero */
1.268     brouard  3055:   sumnew=0.;
1.269     brouard  3056:   /*for (ii=1;ii<=nlstate+ndeath;ii++){*/
1.268     brouard  3057:   for (ii=1;ii<=nlstate;ii++){ /* Only on live states */
1.297     brouard  3058:     /* printf(" agefin=%d, ii=%d, ij=%d, prev=%f\n",(int)agefin,ii, ij, prevacurrent[(int)agefin][ii][ij]); */
1.268     brouard  3059:     sumnew+=prevacurrent[(int)agefin][ii][ij];
                   3060:   }
                   3061:   if(sumnew >0.01){  /* At least some value in the prevalence */
                   3062:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   3063:       for (j=1;j<=nlstate+ndeath;j++)
1.269     brouard  3064:        doldm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij]/sumnew : 0.0);
1.268     brouard  3065:     }
                   3066:   }else{
                   3067:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   3068:       for (j=1;j<=nlstate+ndeath;j++)
                   3069:       doldm[ii][j]=(ii==j ? 1./nlstate : 0.0);
                   3070:     }
                   3071:     /* if(sumnew <0.9){ */
                   3072:     /*   printf("Problem internal bmij B: sum on i wi <0.9: j=%d, sum_i wi=%lf,agefin=%d\n",j,sumnew, (int)agefin); */
                   3073:     /* } */
                   3074:   }
                   3075:   k3=0.0;  /* We put the last diagonal to 0 */
                   3076:   for (ii=nlstate+1;ii<=nlstate+ndeath;ii++){
                   3077:       doldm[ii][ii]= k3;
                   3078:   }
                   3079:   /* End doldm, At the end doldm is diag[(w_i)] */
                   3080:   
1.292     brouard  3081:   /* Left product of this diag matrix by pmmij=Px (dnewm=dsavm*doldm): diag[(w_i)*Px */
                   3082:   bbmij=matprod2(dnewm, doldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, pmmij); /* was a Bug Valgrind */
1.268     brouard  3083: 
1.292     brouard  3084:   /* Diag(Sum_i w^i_x p^ij_x, should be the prevalence at age x+stepm */
1.268     brouard  3085:   /* 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  3086:   for (j=1;j<=nlstate+ndeath;j++){
1.268     brouard  3087:     sumnew=0.;
1.222     brouard  3088:     for (ii=1;ii<=nlstate;ii++){
1.266     brouard  3089:       /* sumnew+=dsavm[ii][j]*prevacurrent[(int)agefin][ii][ij]; */
1.268     brouard  3090:       sumnew+=pmmij[ii][j]*doldm[ii][ii]; /* Yes prevalence at beginning of transition */
1.222     brouard  3091:     } /* sumnew is (N11+N21)/N..= N.1/N.. = sum on i of w_i pij */
1.268     brouard  3092:     for (ii=1;ii<=nlstate+ndeath;ii++){
1.222     brouard  3093:        /* if(agefin >= agemaxpar && agefin <= agemaxpar+stepm/YEARM){ */
1.268     brouard  3094:        /*      dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
1.222     brouard  3095:        /* }else if(agefin >= agemaxpar+stepm/YEARM){ */
1.268     brouard  3096:        /*      dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
1.222     brouard  3097:        /* }else */
1.268     brouard  3098:       dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0);
                   3099:     } /*End ii */
                   3100:   } /* 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 */
                   3101: 
1.292     brouard  3102:   ps=matprod2(ps, dnewm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dsavm); /* was a Bug Valgrind */
1.268     brouard  3103:   /* ps is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */
1.222     brouard  3104:   /* end bmij */
1.266     brouard  3105:   return ps; /*pointer is unchanged */
1.218     brouard  3106: }
1.217     brouard  3107: /*************** transition probabilities ***************/ 
                   3108: 
1.218     brouard  3109: double **bpmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
1.217     brouard  3110: {
                   3111:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   3112:      computes the probability to be observed in state j being in state i by appying the
                   3113:      model to the ncovmodel covariates (including constant and age).
                   3114:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   3115:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   3116:      ncth covariate in the global vector x is given by the formula:
                   3117:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   3118:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   3119:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   3120:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   3121:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   3122:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   3123:   */
                   3124:   double s1, lnpijopii;
                   3125:   /*double t34;*/
                   3126:   int i,j, nc, ii, jj;
                   3127: 
1.234     brouard  3128:   for(i=1; i<= nlstate; i++){
                   3129:     for(j=1; j<i;j++){
                   3130:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   3131:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   3132:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   3133:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   3134:       }
                   3135:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   3136:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   3137:     }
                   3138:     for(j=i+1; j<=nlstate+ndeath;j++){
                   3139:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   3140:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   3141:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   3142:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   3143:       }
                   3144:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   3145:     }
                   3146:   }
                   3147:   
                   3148:   for(i=1; i<= nlstate; i++){
                   3149:     s1=0;
                   3150:     for(j=1; j<i; j++){
                   3151:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   3152:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   3153:     }
                   3154:     for(j=i+1; j<=nlstate+ndeath; j++){
                   3155:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   3156:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   3157:     }
                   3158:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   3159:     ps[i][i]=1./(s1+1.);
                   3160:     /* Computing other pijs */
                   3161:     for(j=1; j<i; j++)
                   3162:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3163:     for(j=i+1; j<=nlstate+ndeath; j++)
                   3164:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3165:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   3166:   } /* end i */
                   3167:   
                   3168:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   3169:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   3170:       ps[ii][jj]=0;
                   3171:       ps[ii][ii]=1;
                   3172:     }
                   3173:   }
1.296     brouard  3174:   /* Added for prevbcast */ /* Transposed matrix too */
1.234     brouard  3175:   for(jj=1; jj<= nlstate+ndeath; jj++){
                   3176:     s1=0.;
                   3177:     for(ii=1; ii<= nlstate+ndeath; ii++){
                   3178:       s1+=ps[ii][jj];
                   3179:     }
                   3180:     for(ii=1; ii<= nlstate; ii++){
                   3181:       ps[ii][jj]=ps[ii][jj]/s1;
                   3182:     }
                   3183:   }
                   3184:   /* Transposition */
                   3185:   for(jj=1; jj<= nlstate+ndeath; jj++){
                   3186:     for(ii=jj; ii<= nlstate+ndeath; ii++){
                   3187:       s1=ps[ii][jj];
                   3188:       ps[ii][jj]=ps[jj][ii];
                   3189:       ps[jj][ii]=s1;
                   3190:     }
                   3191:   }
                   3192:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   3193:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   3194:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   3195:   /*   } */
                   3196:   /*   printf("\n "); */
                   3197:   /* } */
                   3198:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   3199:   /*
                   3200:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   3201:     goto end;*/
                   3202:   return ps;
1.217     brouard  3203: }
                   3204: 
                   3205: 
1.126     brouard  3206: /**************** Product of 2 matrices ******************/
                   3207: 
1.145     brouard  3208: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  3209: {
                   3210:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   3211:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   3212:   /* in, b, out are matrice of pointers which should have been initialized 
                   3213:      before: only the contents of out is modified. The function returns
                   3214:      a pointer to pointers identical to out */
1.145     brouard  3215:   int i, j, k;
1.126     brouard  3216:   for(i=nrl; i<= nrh; i++)
1.145     brouard  3217:     for(k=ncolol; k<=ncoloh; k++){
                   3218:       out[i][k]=0.;
                   3219:       for(j=ncl; j<=nch; j++)
                   3220:        out[i][k] +=in[i][j]*b[j][k];
                   3221:     }
1.126     brouard  3222:   return out;
                   3223: }
                   3224: 
                   3225: 
                   3226: /************* Higher Matrix Product ***************/
                   3227: 
1.235     brouard  3228: 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  3229: {
1.218     brouard  3230:   /* Computes the transition matrix starting at age 'age' and combination of covariate values corresponding to ij over 
1.126     brouard  3231:      'nhstepm*hstepm*stepm' months (i.e. until
                   3232:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   3233:      nhstepm*hstepm matrices. 
                   3234:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   3235:      (typically every 2 years instead of every month which is too big 
                   3236:      for the memory).
                   3237:      Model is determined by parameters x and covariates have to be 
                   3238:      included manually here. 
                   3239: 
                   3240:      */
                   3241: 
                   3242:   int i, j, d, h, k;
1.131     brouard  3243:   double **out, cov[NCOVMAX+1];
1.126     brouard  3244:   double **newm;
1.187     brouard  3245:   double agexact;
1.214     brouard  3246:   double agebegin, ageend;
1.126     brouard  3247: 
                   3248:   /* Hstepm could be zero and should return the unit matrix */
                   3249:   for (i=1;i<=nlstate+ndeath;i++)
                   3250:     for (j=1;j<=nlstate+ndeath;j++){
                   3251:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   3252:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   3253:     }
                   3254:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   3255:   for(h=1; h <=nhstepm; h++){
                   3256:     for(d=1; d <=hstepm; d++){
                   3257:       newm=savm;
                   3258:       /* Covariates have to be included here again */
                   3259:       cov[1]=1.;
1.214     brouard  3260:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
1.187     brouard  3261:       cov[2]=agexact;
                   3262:       if(nagesqr==1)
1.227     brouard  3263:        cov[3]= agexact*agexact;
1.235     brouard  3264:       for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   3265:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   3266:        cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
                   3267:        /* 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)); */
                   3268:       }
                   3269:       for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   3270:        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   3271:        cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   3272:        /* 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]); */
                   3273:       }
                   3274:       for (k=1; k<=cptcovage;k++){
                   3275:        if(Dummy[Tvar[Tage[k]]]){
                   3276:          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   3277:        } else{
                   3278:          cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   3279:        }
                   3280:        /* 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]); */
                   3281:       }
                   3282:       for (k=1; k<=cptcovprod;k++){ /*  */
                   3283:        /* 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]); */
                   3284:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   3285:       }
                   3286:       /* for (k=1; k<=cptcovn;k++)  */
                   3287:       /*       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   3288:       /* for (k=1; k<=cptcovage;k++) /\* Should start at cptcovn+1 *\/ */
                   3289:       /*       cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2]; */
                   3290:       /* for (k=1; k<=cptcovprod;k++) /\* Useless because included in cptcovn *\/ */
                   3291:       /*       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)]; */
1.227     brouard  3292:       
                   3293:       
1.126     brouard  3294:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   3295:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.218     brouard  3296:                        /* right multiplication of oldm by the current matrix */
1.126     brouard  3297:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   3298:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
1.217     brouard  3299:       /* if((int)age == 70){ */
                   3300:       /*       printf(" Forward hpxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   3301:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   3302:       /*         printf("%d pmmij ",i); */
                   3303:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3304:       /*           printf("%f ",pmmij[i][j]); */
                   3305:       /*         } */
                   3306:       /*         printf(" oldm "); */
                   3307:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3308:       /*           printf("%f ",oldm[i][j]); */
                   3309:       /*         } */
                   3310:       /*         printf("\n"); */
                   3311:       /*       } */
                   3312:       /* } */
1.126     brouard  3313:       savm=oldm;
                   3314:       oldm=newm;
                   3315:     }
                   3316:     for(i=1; i<=nlstate+ndeath; i++)
                   3317:       for(j=1;j<=nlstate+ndeath;j++) {
1.267     brouard  3318:        po[i][j][h]=newm[i][j];
                   3319:        /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  3320:       }
1.128     brouard  3321:     /*printf("h=%d ",h);*/
1.126     brouard  3322:   } /* end h */
1.267     brouard  3323:   /*     printf("\n H=%d \n",h); */
1.126     brouard  3324:   return po;
                   3325: }
                   3326: 
1.217     brouard  3327: /************* Higher Back Matrix Product ***************/
1.218     brouard  3328: /* 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  3329: 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  3330: {
1.266     brouard  3331:   /* For a combination of dummy covariate ij, computes the transition matrix starting at age 'age' over
1.217     brouard  3332:      'nhstepm*hstepm*stepm' months (i.e. until
1.218     brouard  3333:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
                   3334:      nhstepm*hstepm matrices.
                   3335:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step
                   3336:      (typically every 2 years instead of every month which is too big
1.217     brouard  3337:      for the memory).
1.218     brouard  3338:      Model is determined by parameters x and covariates have to be
1.266     brouard  3339:      included manually here. Then we use a call to bmij(x and cov)
                   3340:      The addresss of po (p3mat allocated to the dimension of nhstepm) should be stored for output
1.222     brouard  3341:   */
1.217     brouard  3342: 
                   3343:   int i, j, d, h, k;
1.266     brouard  3344:   double **out, cov[NCOVMAX+1], **bmij();
                   3345:   double **newm, ***newmm;
1.217     brouard  3346:   double agexact;
                   3347:   double agebegin, ageend;
1.222     brouard  3348:   double **oldm, **savm;
1.217     brouard  3349: 
1.266     brouard  3350:   newmm=po; /* To be saved */
                   3351:   oldm=oldms;savm=savms; /* Global pointers */
1.217     brouard  3352:   /* Hstepm could be zero and should return the unit matrix */
                   3353:   for (i=1;i<=nlstate+ndeath;i++)
                   3354:     for (j=1;j<=nlstate+ndeath;j++){
                   3355:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   3356:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   3357:     }
                   3358:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   3359:   for(h=1; h <=nhstepm; h++){
                   3360:     for(d=1; d <=hstepm; d++){
                   3361:       newm=savm;
                   3362:       /* Covariates have to be included here again */
                   3363:       cov[1]=1.;
1.271     brouard  3364:       agexact=age-( (h-1)*hstepm + (d)  )*stepm/YEARM; /* age just before transition, d or d-1? */
1.217     brouard  3365:       /* agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /\* age just before transition *\/ */
                   3366:       cov[2]=agexact;
                   3367:       if(nagesqr==1)
1.222     brouard  3368:        cov[3]= agexact*agexact;
1.266     brouard  3369:       for (k=1; k<=cptcovn;k++){
                   3370:       /*       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   3371:       /* /\* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; *\/ */
                   3372:        cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
                   3373:         /* 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)); */
                   3374:       }
1.267     brouard  3375:       for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   3376:        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   3377:        cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   3378:        /* 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]); */
                   3379:       }
                   3380:       for (k=1; k<=cptcovage;k++){ /* Should start at cptcovn+1 */
                   3381:        if(Dummy[Tvar[Tage[k]]]){
                   3382:          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   3383:        } else{
                   3384:          cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   3385:        }
                   3386:        /* 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]); */
                   3387:       }
                   3388:       for (k=1; k<=cptcovprod;k++){ /* Useless because included in cptcovn */
1.222     brouard  3389:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.267     brouard  3390:       }                        
1.217     brouard  3391:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   3392:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.267     brouard  3393: 
1.218     brouard  3394:       /* Careful transposed matrix */
1.266     brouard  3395:       /* age is in cov[2], prevacurrent at beginning of transition. */
1.218     brouard  3396:       /* out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\ */
1.222     brouard  3397:       /*                                                1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); */
1.218     brouard  3398:       out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij),\
1.222     brouard  3399:                   1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
1.217     brouard  3400:       /* if((int)age == 70){ */
                   3401:       /*       printf(" Backward hbxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   3402:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   3403:       /*         printf("%d pmmij ",i); */
                   3404:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3405:       /*           printf("%f ",pmmij[i][j]); */
                   3406:       /*         } */
                   3407:       /*         printf(" oldm "); */
                   3408:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3409:       /*           printf("%f ",oldm[i][j]); */
                   3410:       /*         } */
                   3411:       /*         printf("\n"); */
                   3412:       /*       } */
                   3413:       /* } */
                   3414:       savm=oldm;
                   3415:       oldm=newm;
                   3416:     }
                   3417:     for(i=1; i<=nlstate+ndeath; i++)
                   3418:       for(j=1;j<=nlstate+ndeath;j++) {
1.222     brouard  3419:        po[i][j][h]=newm[i][j];
1.268     brouard  3420:        /* if(h==nhstepm) */
                   3421:        /*   printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]); */
1.217     brouard  3422:       }
1.268     brouard  3423:     /* printf("h=%d %.1f ",h, agexact); */
1.217     brouard  3424:   } /* end h */
1.268     brouard  3425:   /* printf("\n H=%d nhs=%d \n",h, nhstepm); */
1.217     brouard  3426:   return po;
                   3427: }
                   3428: 
                   3429: 
1.162     brouard  3430: #ifdef NLOPT
                   3431:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   3432:   double fret;
                   3433:   double *xt;
                   3434:   int j;
                   3435:   myfunc_data *d2 = (myfunc_data *) pd;
                   3436: /* xt = (p1-1); */
                   3437:   xt=vector(1,n); 
                   3438:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   3439: 
                   3440:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   3441:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   3442:   printf("Function = %.12lf ",fret);
                   3443:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   3444:   printf("\n");
                   3445:  free_vector(xt,1,n);
                   3446:   return fret;
                   3447: }
                   3448: #endif
1.126     brouard  3449: 
                   3450: /*************** log-likelihood *************/
                   3451: double func( double *x)
                   3452: {
1.226     brouard  3453:   int i, ii, j, k, mi, d, kk;
                   3454:   int ioffset=0;
                   3455:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
                   3456:   double **out;
                   3457:   double lli; /* Individual log likelihood */
                   3458:   int s1, s2;
1.228     brouard  3459:   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  3460:   double bbh, survp;
                   3461:   long ipmx;
                   3462:   double agexact;
                   3463:   /*extern weight */
                   3464:   /* We are differentiating ll according to initial status */
                   3465:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3466:   /*for(i=1;i<imx;i++) 
                   3467:     printf(" %d\n",s[4][i]);
                   3468:   */
1.162     brouard  3469: 
1.226     brouard  3470:   ++countcallfunc;
1.162     brouard  3471: 
1.226     brouard  3472:   cov[1]=1.;
1.126     brouard  3473: 
1.226     brouard  3474:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3475:   ioffset=0;
1.226     brouard  3476:   if(mle==1){
                   3477:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3478:       /* Computes the values of the ncovmodel covariates of the model
                   3479:         depending if the covariates are fixed or varying (age dependent) and stores them in cov[]
                   3480:         Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                   3481:         to be observed in j being in i according to the model.
                   3482:       */
1.243     brouard  3483:       ioffset=2+nagesqr ;
1.233     brouard  3484:    /* Fixed */
1.234     brouard  3485:       for (k=1; k<=ncovf;k++){ /* Simple and product fixed covariates without age* products */
                   3486:        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)*/
                   3487:       }
1.226     brouard  3488:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
                   3489:         is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
                   3490:         has been calculated etc */
                   3491:       /* For an individual i, wav[i] gives the number of effective waves */
                   3492:       /* We compute the contribution to Likelihood of each effective transition
                   3493:         mw[mi][i] is real wave of the mi th effectve wave */
                   3494:       /* Then statuses are computed at each begin and end of an effective wave s1=s[ mw[mi][i] ][i];
                   3495:         s2=s[mw[mi+1][i]][i];
                   3496:         And the iv th varying covariate is the cotvar[mw[mi+1][i]][iv][i]
                   3497:         But if the variable is not in the model TTvar[iv] is the real variable effective in the model:
                   3498:         meaning that decodemodel should be used cotvar[mw[mi+1][i]][TTvar[iv]][i]
                   3499:       */
                   3500:       for(mi=1; mi<= wav[i]-1; mi++){
1.234     brouard  3501:        for(k=1; k <= ncovv ; k++){ /* Varying  covariates (single and product but no age )*/
1.242     brouard  3502:          /* cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i]; */
                   3503:          cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]-ncovcol-nqv][i];
1.234     brouard  3504:        }
                   3505:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3506:          for (j=1;j<=nlstate+ndeath;j++){
                   3507:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3508:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3509:          }
                   3510:        for(d=0; d<dh[mi][i]; d++){
                   3511:          newm=savm;
                   3512:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3513:          cov[2]=agexact;
                   3514:          if(nagesqr==1)
                   3515:            cov[3]= agexact*agexact;  /* Should be changed here */
                   3516:          for (kk=1; kk<=cptcovage;kk++) {
1.242     brouard  3517:          if(!FixedV[Tvar[Tage[kk]]])
1.234     brouard  3518:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
1.242     brouard  3519:          else
                   3520:            cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]-ncovcol-nqv][i]*agexact;
1.234     brouard  3521:          }
                   3522:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3523:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3524:          savm=oldm;
                   3525:          oldm=newm;
                   3526:        } /* end mult */
                   3527:        
                   3528:        /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   3529:        /* But now since version 0.9 we anticipate for bias at large stepm.
                   3530:         * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   3531:         * (in months) between two waves is not a multiple of stepm, we rounded to 
                   3532:         * the nearest (and in case of equal distance, to the lowest) interval but now
                   3533:         * we keep into memory the bias bh[mi][i] and also the previous matrix product
                   3534:         * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                   3535:         * probability in order to take into account the bias as a fraction of the way
1.231     brouard  3536:                                 * from savm to out if bh is negative or even beyond if bh is positive. bh varies
                   3537:                                 * -stepm/2 to stepm/2 .
                   3538:                                 * For stepm=1 the results are the same as for previous versions of Imach.
                   3539:                                 * For stepm > 1 the results are less biased than in previous versions. 
                   3540:                                 */
1.234     brouard  3541:        s1=s[mw[mi][i]][i];
                   3542:        s2=s[mw[mi+1][i]][i];
                   3543:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3544:        /* bias bh is positive if real duration
                   3545:         * is higher than the multiple of stepm and negative otherwise.
                   3546:         */
                   3547:        /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
                   3548:        if( s2 > nlstate){ 
                   3549:          /* i.e. if s2 is a death state and if the date of death is known 
                   3550:             then the contribution to the likelihood is the probability to 
                   3551:             die between last step unit time and current  step unit time, 
                   3552:             which is also equal to probability to die before dh 
                   3553:             minus probability to die before dh-stepm . 
                   3554:             In version up to 0.92 likelihood was computed
                   3555:             as if date of death was unknown. Death was treated as any other
                   3556:             health state: the date of the interview describes the actual state
                   3557:             and not the date of a change in health state. The former idea was
                   3558:             to consider that at each interview the state was recorded
                   3559:             (healthy, disable or death) and IMaCh was corrected; but when we
                   3560:             introduced the exact date of death then we should have modified
                   3561:             the contribution of an exact death to the likelihood. This new
                   3562:             contribution is smaller and very dependent of the step unit
                   3563:             stepm. It is no more the probability to die between last interview
                   3564:             and month of death but the probability to survive from last
                   3565:             interview up to one month before death multiplied by the
                   3566:             probability to die within a month. Thanks to Chris
                   3567:             Jackson for correcting this bug.  Former versions increased
                   3568:             mortality artificially. The bad side is that we add another loop
                   3569:             which slows down the processing. The difference can be up to 10%
                   3570:             lower mortality.
                   3571:          */
                   3572:          /* If, at the beginning of the maximization mostly, the
                   3573:             cumulative probability or probability to be dead is
                   3574:             constant (ie = 1) over time d, the difference is equal to
                   3575:             0.  out[s1][3] = savm[s1][3]: probability, being at state
                   3576:             s1 at precedent wave, to be dead a month before current
                   3577:             wave is equal to probability, being at state s1 at
                   3578:             precedent wave, to be dead at mont of the current
                   3579:             wave. Then the observed probability (that this person died)
                   3580:             is null according to current estimated parameter. In fact,
                   3581:             it should be very low but not zero otherwise the log go to
                   3582:             infinity.
                   3583:          */
1.183     brouard  3584: /* #ifdef INFINITYORIGINAL */
                   3585: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3586: /* #else */
                   3587: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   3588: /*         lli=log(mytinydouble); */
                   3589: /*       else */
                   3590: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3591: /* #endif */
1.226     brouard  3592:          lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3593:          
1.226     brouard  3594:        } else if  ( s2==-1 ) { /* alive */
                   3595:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3596:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3597:          /*survp += out[s1][j]; */
                   3598:          lli= log(survp);
                   3599:        }
                   3600:        else if  (s2==-4) { 
                   3601:          for (j=3,survp=0. ; j<=nlstate; j++)  
                   3602:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3603:          lli= log(survp); 
                   3604:        } 
                   3605:        else if  (s2==-5) { 
                   3606:          for (j=1,survp=0. ; j<=2; j++)  
                   3607:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3608:          lli= log(survp); 
                   3609:        } 
                   3610:        else{
                   3611:          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3612:          /*  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 */
                   3613:        } 
                   3614:        /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                   3615:        /*if(lli ==000.0)*/
                   3616:        /*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); */
                   3617:        ipmx +=1;
                   3618:        sw += weight[i];
                   3619:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3620:        /* if (lli < log(mytinydouble)){ */
                   3621:        /*   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); */
                   3622:        /*   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]); */
                   3623:        /* } */
                   3624:       } /* end of wave */
                   3625:     } /* end of individual */
                   3626:   }  else if(mle==2){
                   3627:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3628:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3629:       for(mi=1; mi<= wav[i]-1; mi++){
                   3630:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3631:          for (j=1;j<=nlstate+ndeath;j++){
                   3632:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3633:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3634:          }
                   3635:        for(d=0; d<=dh[mi][i]; d++){
                   3636:          newm=savm;
                   3637:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3638:          cov[2]=agexact;
                   3639:          if(nagesqr==1)
                   3640:            cov[3]= agexact*agexact;
                   3641:          for (kk=1; kk<=cptcovage;kk++) {
                   3642:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3643:          }
                   3644:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3645:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3646:          savm=oldm;
                   3647:          oldm=newm;
                   3648:        } /* end mult */
                   3649:       
                   3650:        s1=s[mw[mi][i]][i];
                   3651:        s2=s[mw[mi+1][i]][i];
                   3652:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3653:        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 */
                   3654:        ipmx +=1;
                   3655:        sw += weight[i];
                   3656:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3657:       } /* end of wave */
                   3658:     } /* end of individual */
                   3659:   }  else if(mle==3){  /* exponential inter-extrapolation */
                   3660:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3661:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3662:       for(mi=1; mi<= wav[i]-1; mi++){
                   3663:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3664:          for (j=1;j<=nlstate+ndeath;j++){
                   3665:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3666:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3667:          }
                   3668:        for(d=0; d<dh[mi][i]; d++){
                   3669:          newm=savm;
                   3670:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3671:          cov[2]=agexact;
                   3672:          if(nagesqr==1)
                   3673:            cov[3]= agexact*agexact;
                   3674:          for (kk=1; kk<=cptcovage;kk++) {
                   3675:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3676:          }
                   3677:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3678:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3679:          savm=oldm;
                   3680:          oldm=newm;
                   3681:        } /* end mult */
                   3682:       
                   3683:        s1=s[mw[mi][i]][i];
                   3684:        s2=s[mw[mi+1][i]][i];
                   3685:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3686:        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 */
                   3687:        ipmx +=1;
                   3688:        sw += weight[i];
                   3689:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3690:       } /* end of wave */
                   3691:     } /* end of individual */
                   3692:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
                   3693:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3694:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3695:       for(mi=1; mi<= wav[i]-1; mi++){
                   3696:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3697:          for (j=1;j<=nlstate+ndeath;j++){
                   3698:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3699:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3700:          }
                   3701:        for(d=0; d<dh[mi][i]; d++){
                   3702:          newm=savm;
                   3703:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3704:          cov[2]=agexact;
                   3705:          if(nagesqr==1)
                   3706:            cov[3]= agexact*agexact;
                   3707:          for (kk=1; kk<=cptcovage;kk++) {
                   3708:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3709:          }
1.126     brouard  3710:        
1.226     brouard  3711:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3712:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3713:          savm=oldm;
                   3714:          oldm=newm;
                   3715:        } /* end mult */
                   3716:       
                   3717:        s1=s[mw[mi][i]][i];
                   3718:        s2=s[mw[mi+1][i]][i];
                   3719:        if( s2 > nlstate){ 
                   3720:          lli=log(out[s1][s2] - savm[s1][s2]);
                   3721:        } else if  ( s2==-1 ) { /* alive */
                   3722:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3723:            survp += out[s1][j];
                   3724:          lli= log(survp);
                   3725:        }else{
                   3726:          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3727:        }
                   3728:        ipmx +=1;
                   3729:        sw += weight[i];
                   3730:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.126     brouard  3731: /*     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  3732:       } /* end of wave */
                   3733:     } /* end of individual */
                   3734:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
                   3735:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3736:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3737:       for(mi=1; mi<= wav[i]-1; mi++){
                   3738:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3739:          for (j=1;j<=nlstate+ndeath;j++){
                   3740:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3741:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3742:          }
                   3743:        for(d=0; d<dh[mi][i]; d++){
                   3744:          newm=savm;
                   3745:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3746:          cov[2]=agexact;
                   3747:          if(nagesqr==1)
                   3748:            cov[3]= agexact*agexact;
                   3749:          for (kk=1; kk<=cptcovage;kk++) {
                   3750:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3751:          }
1.126     brouard  3752:        
1.226     brouard  3753:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3754:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3755:          savm=oldm;
                   3756:          oldm=newm;
                   3757:        } /* end mult */
                   3758:       
                   3759:        s1=s[mw[mi][i]][i];
                   3760:        s2=s[mw[mi+1][i]][i];
                   3761:        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3762:        ipmx +=1;
                   3763:        sw += weight[i];
                   3764:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3765:        /*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]);*/
                   3766:       } /* end of wave */
                   3767:     } /* end of individual */
                   3768:   } /* End of if */
                   3769:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3770:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3771:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3772:   return -l;
1.126     brouard  3773: }
                   3774: 
                   3775: /*************** log-likelihood *************/
                   3776: double funcone( double *x)
                   3777: {
1.228     brouard  3778:   /* Same as func but slower because of a lot of printf and if */
1.126     brouard  3779:   int i, ii, j, k, mi, d, kk;
1.228     brouard  3780:   int ioffset=0;
1.131     brouard  3781:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  3782:   double **out;
                   3783:   double lli; /* Individual log likelihood */
                   3784:   double llt;
                   3785:   int s1, s2;
1.228     brouard  3786:   int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate, quantitative time varying covariate */
                   3787: 
1.126     brouard  3788:   double bbh, survp;
1.187     brouard  3789:   double agexact;
1.214     brouard  3790:   double agebegin, ageend;
1.126     brouard  3791:   /*extern weight */
                   3792:   /* We are differentiating ll according to initial status */
                   3793:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3794:   /*for(i=1;i<imx;i++) 
                   3795:     printf(" %d\n",s[4][i]);
                   3796:   */
                   3797:   cov[1]=1.;
                   3798: 
                   3799:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3800:   ioffset=0;
                   3801:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.243     brouard  3802:     /* ioffset=2+nagesqr+cptcovage; */
                   3803:     ioffset=2+nagesqr;
1.232     brouard  3804:     /* Fixed */
1.224     brouard  3805:     /* for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i]; */
1.232     brouard  3806:     /* for (k=1; k<=ncoveff;k++){ /\* Simple and product fixed Dummy covariates without age* products *\/ */
                   3807:     for (k=1; k<=ncovf;k++){ /* Simple and product fixed covariates without age* products */
                   3808:       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)*/
                   3809: /*    cov[ioffset+TvarFind[1]]=covar[Tvar[TvarFind[1]]][i];  */
                   3810: /*    cov[2+6]=covar[Tvar[6]][i];  */
                   3811: /*    cov[2+6]=covar[2][i]; V2  */
                   3812: /*    cov[TvarFind[2]]=covar[Tvar[TvarFind[2]]][i];  */
                   3813: /*    cov[2+7]=covar[Tvar[7]][i];  */
                   3814: /*    cov[2+7]=covar[7][i]; V7=V1*V2  */
                   3815: /*    cov[TvarFind[3]]=covar[Tvar[TvarFind[3]]][i];  */
                   3816: /*    cov[2+9]=covar[Tvar[9]][i];  */
                   3817: /*    cov[2+9]=covar[1][i]; V1  */
1.225     brouard  3818:     }
1.232     brouard  3819:     /* for (k=1; k<=nqfveff;k++){ /\* Simple and product fixed Quantitative covariates without age* products *\/ */
                   3820:     /*   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?)*\/ */
                   3821:     /* } */
1.231     brouard  3822:     /* for(iqv=1; iqv <= nqfveff; iqv++){ /\* Quantitative fixed covariates *\/ */
                   3823:     /*   cov[++ioffset]=coqvar[Tvar[iqv]][i]; /\* Only V2 k=6 and V1*V2 7 *\/ */
                   3824:     /* } */
1.225     brouard  3825:     
1.233     brouard  3826: 
                   3827:     for(mi=1; mi<= wav[i]-1; mi++){  /* Varying with waves */
1.232     brouard  3828:     /* Wave varying (but not age varying) */
                   3829:       for(k=1; k <= ncovv ; k++){ /* Varying  covariates (single and product but no age )*/
1.242     brouard  3830:        /* cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i]; */
                   3831:        cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]-ncovcol-nqv][i];
                   3832:       }
1.232     brouard  3833:       /* for(itv=1; itv <= ntveff; itv++){ /\* Varying dummy covariates (single??)*\/ */
1.242     brouard  3834:       /* iv= Tvar[Tmodelind[ioffset-2-nagesqr-cptcovage+itv]]-ncovcol-nqv; /\* Counting the # varying covariate from 1 to ntveff *\/ */
                   3835:       /* cov[ioffset+iv]=cotvar[mw[mi][i]][iv][i]; */
                   3836:       /* k=ioffset-2-nagesqr-cptcovage+itv; /\* position in simple model *\/ */
                   3837:       /* cov[ioffset+itv]=cotvar[mw[mi][i]][TmodelInvind[itv]][i]; */
                   3838:       /* 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  3839:       /* for(iqtv=1; iqtv <= nqtveff; iqtv++){ /\* Varying quantitatives covariates *\/ */
1.242     brouard  3840:       /*       iv=TmodelInvQind[iqtv]; /\* Counting the # varying covariate from 1 to ntveff *\/ */
                   3841:       /*       /\* 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]); *\/ */
                   3842:       /*       cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i]; */
1.232     brouard  3843:       /* } */
1.126     brouard  3844:       for (ii=1;ii<=nlstate+ndeath;ii++)
1.242     brouard  3845:        for (j=1;j<=nlstate+ndeath;j++){
                   3846:          oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3847:          savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3848:        }
1.214     brouard  3849:       
                   3850:       agebegin=agev[mw[mi][i]][i]; /* Age at beginning of effective wave */
                   3851:       ageend=agev[mw[mi][i]][i] + (dh[mi][i])*stepm/YEARM; /* Age at end of effective wave and at the end of transition */
                   3852:       for(d=0; d<dh[mi][i]; d++){  /* Delay between two effective waves */
1.247     brouard  3853:       /* for(d=0; d<=0; d++){  /\* Delay between two effective waves Only one matrix to speed up*\/ */
1.242     brouard  3854:        /*dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   3855:          and mw[mi+1][i]. dh depends on stepm.*/
                   3856:        newm=savm;
1.247     brouard  3857:        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;  /* Here d is needed */
1.242     brouard  3858:        cov[2]=agexact;
                   3859:        if(nagesqr==1)
                   3860:          cov[3]= agexact*agexact;
                   3861:        for (kk=1; kk<=cptcovage;kk++) {
                   3862:          if(!FixedV[Tvar[Tage[kk]]])
                   3863:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3864:          else
                   3865:            cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]-ncovcol-nqv][i]*agexact;
                   3866:        }
                   3867:        /* printf("i=%d,mi=%d,d=%d,mw[mi][i]=%d\n",i, mi,d,mw[mi][i]); */
                   3868:        /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   3869:        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3870:                     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3871:        /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
                   3872:        /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
                   3873:        savm=oldm;
                   3874:        oldm=newm;
1.126     brouard  3875:       } /* end mult */
                   3876:       
                   3877:       s1=s[mw[mi][i]][i];
                   3878:       s2=s[mw[mi+1][i]][i];
1.217     brouard  3879:       /* if(s2==-1){ */
1.268     brouard  3880:       /*       printf(" ERROR s1=%d, s2=%d i=%d \n", s1, s2, i); */
1.217     brouard  3881:       /*       /\* exit(1); *\/ */
                   3882:       /* } */
1.126     brouard  3883:       bbh=(double)bh[mi][i]/(double)stepm; 
                   3884:       /* bias is positive if real duration
                   3885:        * is higher than the multiple of stepm and negative otherwise.
                   3886:        */
                   3887:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
1.242     brouard  3888:        lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3889:       } else if  ( s2==-1 ) { /* alive */
1.242     brouard  3890:        for (j=1,survp=0. ; j<=nlstate; j++) 
                   3891:          survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3892:        lli= log(survp);
1.126     brouard  3893:       }else if (mle==1){
1.242     brouard  3894:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
1.126     brouard  3895:       } else if(mle==2){
1.242     brouard  3896:        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  3897:       } else if(mle==3){  /* exponential inter-extrapolation */
1.242     brouard  3898:        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  3899:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
1.242     brouard  3900:        lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  3901:       } else{  /* mle=0 back to 1 */
1.242     brouard  3902:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3903:        /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  3904:       } /* End of if */
                   3905:       ipmx +=1;
                   3906:       sw += weight[i];
                   3907:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  3908:       /*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  3909:       if(globpr){
1.246     brouard  3910:        fprintf(ficresilk,"%09ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %15.6f %8.4f %8.3f\
1.126     brouard  3911:  %11.6f %11.6f %11.6f ", \
1.242     brouard  3912:                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  3913:                2*weight[i]*lli,(s2==-1? -1: out[s1][s2]),(s2==-1? -1: savm[s1][s2]));
1.242     brouard  3914:        for(k=1,llt=0.,l=0.; k<=nlstate; k++){
                   3915:          llt +=ll[k]*gipmx/gsw;
                   3916:          fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                   3917:        }
                   3918:        fprintf(ficresilk," %10.6f\n", -llt);
1.126     brouard  3919:       }
1.232     brouard  3920:        } /* end of wave */
                   3921: } /* end of individual */
                   3922: for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3923: /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3924: l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3925: if(globpr==0){ /* First time we count the contributions and weights */
                   3926:        gipmx=ipmx;
                   3927:        gsw=sw;
                   3928: }
                   3929: return -l;
1.126     brouard  3930: }
                   3931: 
                   3932: 
                   3933: /*************** function likelione ***********/
1.292     brouard  3934: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*func)(double []))
1.126     brouard  3935: {
                   3936:   /* This routine should help understanding what is done with 
                   3937:      the selection of individuals/waves and
                   3938:      to check the exact contribution to the likelihood.
                   3939:      Plotting could be done.
                   3940:    */
                   3941:   int k;
                   3942: 
                   3943:   if(*globpri !=0){ /* Just counts and sums, no printings */
1.201     brouard  3944:     strcpy(fileresilk,"ILK_"); 
1.202     brouard  3945:     strcat(fileresilk,fileresu);
1.126     brouard  3946:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   3947:       printf("Problem with resultfile: %s\n", fileresilk);
                   3948:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   3949:     }
1.214     brouard  3950:     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");
                   3951:     fprintf(ficresilk, "#num_i ageb agend i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav ");
1.126     brouard  3952:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   3953:     for(k=1; k<=nlstate; k++) 
                   3954:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   3955:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   3956:   }
                   3957: 
1.292     brouard  3958:   *fretone=(*func)(p);
1.126     brouard  3959:   if(*globpri !=0){
                   3960:     fclose(ficresilk);
1.205     brouard  3961:     if (mle ==0)
                   3962:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
                   3963:     else if(mle >=1)
                   3964:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
                   3965:     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  3966:     fprintf(fichtm,"\n<br>Equation of the model: <b>model=1+age+%s</b><br>\n",model); 
1.208     brouard  3967:       
                   3968:     for (k=1; k<= nlstate ; k++) {
1.211     brouard  3969:       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  3970: <img src=\"%s-p%dj.png\">",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
                   3971:     }
1.207     brouard  3972:     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  3973: <img src=\"%s-ori.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3974:     fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
1.204     brouard  3975: <img src=\"%s-dest.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3976:     fflush(fichtm);
1.205     brouard  3977:   }
1.126     brouard  3978:   return;
                   3979: }
                   3980: 
                   3981: 
                   3982: /*********** Maximum Likelihood Estimation ***************/
                   3983: 
                   3984: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   3985: {
1.165     brouard  3986:   int i,j, iter=0;
1.126     brouard  3987:   double **xi;
                   3988:   double fret;
                   3989:   double fretone; /* Only one call to likelihood */
                   3990:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  3991: 
                   3992: #ifdef NLOPT
                   3993:   int creturn;
                   3994:   nlopt_opt opt;
                   3995:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   3996:   double *lb;
                   3997:   double minf; /* the minimum objective value, upon return */
                   3998:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   3999:   myfunc_data dinst, *d = &dinst;
                   4000: #endif
                   4001: 
                   4002: 
1.126     brouard  4003:   xi=matrix(1,npar,1,npar);
                   4004:   for (i=1;i<=npar;i++)
                   4005:     for (j=1;j<=npar;j++)
                   4006:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   4007:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.201     brouard  4008:   strcpy(filerespow,"POW_"); 
1.126     brouard  4009:   strcat(filerespow,fileres);
                   4010:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   4011:     printf("Problem with resultfile: %s\n", filerespow);
                   4012:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   4013:   }
                   4014:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   4015:   for (i=1;i<=nlstate;i++)
                   4016:     for(j=1;j<=nlstate+ndeath;j++)
                   4017:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   4018:   fprintf(ficrespow,"\n");
1.162     brouard  4019: #ifdef POWELL
1.126     brouard  4020:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.162     brouard  4021: #endif
1.126     brouard  4022: 
1.162     brouard  4023: #ifdef NLOPT
                   4024: #ifdef NEWUOA
                   4025:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   4026: #else
                   4027:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   4028: #endif
                   4029:   lb=vector(0,npar-1);
                   4030:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   4031:   nlopt_set_lower_bounds(opt, lb);
                   4032:   nlopt_set_initial_step1(opt, 0.1);
                   4033:   
                   4034:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   4035:   d->function = func;
                   4036:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   4037:   nlopt_set_min_objective(opt, myfunc, d);
                   4038:   nlopt_set_xtol_rel(opt, ftol);
                   4039:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   4040:     printf("nlopt failed! %d\n",creturn); 
                   4041:   }
                   4042:   else {
                   4043:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   4044:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   4045:     iter=1; /* not equal */
                   4046:   }
                   4047:   nlopt_destroy(opt);
                   4048: #endif
1.126     brouard  4049:   free_matrix(xi,1,npar,1,npar);
                   4050:   fclose(ficrespow);
1.203     brouard  4051:   printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   4052:   fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.180     brouard  4053:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  4054: 
                   4055: }
                   4056: 
                   4057: /**** Computes Hessian and covariance matrix ***/
1.203     brouard  4058: void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
1.126     brouard  4059: {
                   4060:   double  **a,**y,*x,pd;
1.203     brouard  4061:   /* double **hess; */
1.164     brouard  4062:   int i, j;
1.126     brouard  4063:   int *indx;
                   4064: 
                   4065:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
1.203     brouard  4066:   double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
1.126     brouard  4067:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   4068:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   4069:   double gompertz(double p[]);
1.203     brouard  4070:   /* hess=matrix(1,npar,1,npar); */
1.126     brouard  4071: 
                   4072:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   4073:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   4074:   for (i=1;i<=npar;i++){
1.203     brouard  4075:     printf("%d-",i);fflush(stdout);
                   4076:     fprintf(ficlog,"%d-",i);fflush(ficlog);
1.126     brouard  4077:    
                   4078:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   4079:     
                   4080:     /*  printf(" %f ",p[i]);
                   4081:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   4082:   }
                   4083:   
                   4084:   for (i=1;i<=npar;i++) {
                   4085:     for (j=1;j<=npar;j++)  {
                   4086:       if (j>i) { 
1.203     brouard  4087:        printf(".%d-%d",i,j);fflush(stdout);
                   4088:        fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
                   4089:        hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
1.126     brouard  4090:        
                   4091:        hess[j][i]=hess[i][j];    
                   4092:        /*printf(" %lf ",hess[i][j]);*/
                   4093:       }
                   4094:     }
                   4095:   }
                   4096:   printf("\n");
                   4097:   fprintf(ficlog,"\n");
                   4098: 
                   4099:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   4100:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   4101:   
                   4102:   a=matrix(1,npar,1,npar);
                   4103:   y=matrix(1,npar,1,npar);
                   4104:   x=vector(1,npar);
                   4105:   indx=ivector(1,npar);
                   4106:   for (i=1;i<=npar;i++)
                   4107:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   4108:   ludcmp(a,npar,indx,&pd);
                   4109: 
                   4110:   for (j=1;j<=npar;j++) {
                   4111:     for (i=1;i<=npar;i++) x[i]=0;
                   4112:     x[j]=1;
                   4113:     lubksb(a,npar,indx,x);
                   4114:     for (i=1;i<=npar;i++){ 
                   4115:       matcov[i][j]=x[i];
                   4116:     }
                   4117:   }
                   4118: 
                   4119:   printf("\n#Hessian matrix#\n");
                   4120:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   4121:   for (i=1;i<=npar;i++) { 
                   4122:     for (j=1;j<=npar;j++) { 
1.203     brouard  4123:       printf("%.6e ",hess[i][j]);
                   4124:       fprintf(ficlog,"%.6e ",hess[i][j]);
1.126     brouard  4125:     }
                   4126:     printf("\n");
                   4127:     fprintf(ficlog,"\n");
                   4128:   }
                   4129: 
1.203     brouard  4130:   /* printf("\n#Covariance matrix#\n"); */
                   4131:   /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
                   4132:   /* for (i=1;i<=npar;i++) {  */
                   4133:   /*   for (j=1;j<=npar;j++) {  */
                   4134:   /*     printf("%.6e ",matcov[i][j]); */
                   4135:   /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
                   4136:   /*   } */
                   4137:   /*   printf("\n"); */
                   4138:   /*   fprintf(ficlog,"\n"); */
                   4139:   /* } */
                   4140: 
1.126     brouard  4141:   /* Recompute Inverse */
1.203     brouard  4142:   /* for (i=1;i<=npar;i++) */
                   4143:   /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
                   4144:   /* ludcmp(a,npar,indx,&pd); */
                   4145: 
                   4146:   /*  printf("\n#Hessian matrix recomputed#\n"); */
                   4147: 
                   4148:   /* for (j=1;j<=npar;j++) { */
                   4149:   /*   for (i=1;i<=npar;i++) x[i]=0; */
                   4150:   /*   x[j]=1; */
                   4151:   /*   lubksb(a,npar,indx,x); */
                   4152:   /*   for (i=1;i<=npar;i++){  */
                   4153:   /*     y[i][j]=x[i]; */
                   4154:   /*     printf("%.3e ",y[i][j]); */
                   4155:   /*     fprintf(ficlog,"%.3e ",y[i][j]); */
                   4156:   /*   } */
                   4157:   /*   printf("\n"); */
                   4158:   /*   fprintf(ficlog,"\n"); */
                   4159:   /* } */
                   4160: 
                   4161:   /* Verifying the inverse matrix */
                   4162: #ifdef DEBUGHESS
                   4163:   y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
1.126     brouard  4164: 
1.203     brouard  4165:    printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
                   4166:    fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
1.126     brouard  4167: 
                   4168:   for (j=1;j<=npar;j++) {
                   4169:     for (i=1;i<=npar;i++){ 
1.203     brouard  4170:       printf("%.2f ",y[i][j]);
                   4171:       fprintf(ficlog,"%.2f ",y[i][j]);
1.126     brouard  4172:     }
                   4173:     printf("\n");
                   4174:     fprintf(ficlog,"\n");
                   4175:   }
1.203     brouard  4176: #endif
1.126     brouard  4177: 
                   4178:   free_matrix(a,1,npar,1,npar);
                   4179:   free_matrix(y,1,npar,1,npar);
                   4180:   free_vector(x,1,npar);
                   4181:   free_ivector(indx,1,npar);
1.203     brouard  4182:   /* free_matrix(hess,1,npar,1,npar); */
1.126     brouard  4183: 
                   4184: 
                   4185: }
                   4186: 
                   4187: /*************** hessian matrix ****************/
                   4188: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
1.203     brouard  4189: { /* Around values of x, computes the function func and returns the scales delti and hessian */
1.126     brouard  4190:   int i;
                   4191:   int l=1, lmax=20;
1.203     brouard  4192:   double k1,k2, res, fx;
1.132     brouard  4193:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  4194:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   4195:   int k=0,kmax=10;
                   4196:   double l1;
                   4197: 
                   4198:   fx=func(x);
                   4199:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  4200:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  4201:     l1=pow(10,l);
                   4202:     delts=delt;
                   4203:     for(k=1 ; k <kmax; k=k+1){
                   4204:       delt = delta*(l1*k);
                   4205:       p2[theta]=x[theta] +delt;
1.145     brouard  4206:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  4207:       p2[theta]=x[theta]-delt;
                   4208:       k2=func(p2)-fx;
                   4209:       /*res= (k1-2.0*fx+k2)/delt/delt; */
1.203     brouard  4210:       res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
1.126     brouard  4211:       
1.203     brouard  4212: #ifdef DEBUGHESSII
1.126     brouard  4213:       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);
                   4214:       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);
                   4215: #endif
                   4216:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   4217:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   4218:        k=kmax;
                   4219:       }
                   4220:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  4221:        k=kmax; l=lmax*10;
1.126     brouard  4222:       }
                   4223:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   4224:        delts=delt;
                   4225:       }
1.203     brouard  4226:     } /* End loop k */
1.126     brouard  4227:   }
                   4228:   delti[theta]=delts;
                   4229:   return res; 
                   4230:   
                   4231: }
                   4232: 
1.203     brouard  4233: double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
1.126     brouard  4234: {
                   4235:   int i;
1.164     brouard  4236:   int l=1, lmax=20;
1.126     brouard  4237:   double k1,k2,k3,k4,res,fx;
1.132     brouard  4238:   double p2[MAXPARM+1];
1.203     brouard  4239:   int k, kmax=1;
                   4240:   double v1, v2, cv12, lc1, lc2;
1.208     brouard  4241: 
                   4242:   int firstime=0;
1.203     brouard  4243:   
1.126     brouard  4244:   fx=func(x);
1.203     brouard  4245:   for (k=1; k<=kmax; k=k+10) {
1.126     brouard  4246:     for (i=1;i<=npar;i++) p2[i]=x[i];
1.203     brouard  4247:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   4248:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  4249:     k1=func(p2)-fx;
                   4250:   
1.203     brouard  4251:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   4252:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  4253:     k2=func(p2)-fx;
                   4254:   
1.203     brouard  4255:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   4256:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  4257:     k3=func(p2)-fx;
                   4258:   
1.203     brouard  4259:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   4260:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  4261:     k4=func(p2)-fx;
1.203     brouard  4262:     res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */
                   4263:     if(k1*k2*k3*k4 <0.){
1.208     brouard  4264:       firstime=1;
1.203     brouard  4265:       kmax=kmax+10;
1.208     brouard  4266:     }
                   4267:     if(kmax >=10 || firstime ==1){
1.246     brouard  4268:       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);
                   4269:       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  4270:       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);
                   4271:       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);
                   4272:     }
                   4273: #ifdef DEBUGHESSIJ
                   4274:     v1=hess[thetai][thetai];
                   4275:     v2=hess[thetaj][thetaj];
                   4276:     cv12=res;
                   4277:     /* Computing eigen value of Hessian matrix */
                   4278:     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4279:     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4280:     if ((lc2 <0) || (lc1 <0) ){
                   4281:       printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   4282:       fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   4283:       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);
                   4284:       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);
                   4285:     }
1.126     brouard  4286: #endif
                   4287:   }
                   4288:   return res;
                   4289: }
                   4290: 
1.203     brouard  4291:     /* Not done yet: Was supposed to fix if not exactly at the maximum */
                   4292: /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
                   4293: /* { */
                   4294: /*   int i; */
                   4295: /*   int l=1, lmax=20; */
                   4296: /*   double k1,k2,k3,k4,res,fx; */
                   4297: /*   double p2[MAXPARM+1]; */
                   4298: /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
                   4299: /*   int k=0,kmax=10; */
                   4300: /*   double l1; */
                   4301:   
                   4302: /*   fx=func(x); */
                   4303: /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
                   4304: /*     l1=pow(10,l); */
                   4305: /*     delts=delt; */
                   4306: /*     for(k=1 ; k <kmax; k=k+1){ */
                   4307: /*       delt = delti*(l1*k); */
                   4308: /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
                   4309: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   4310: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   4311: /*       k1=func(p2)-fx; */
                   4312:       
                   4313: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   4314: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   4315: /*       k2=func(p2)-fx; */
                   4316:       
                   4317: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   4318: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   4319: /*       k3=func(p2)-fx; */
                   4320:       
                   4321: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   4322: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   4323: /*       k4=func(p2)-fx; */
                   4324: /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
                   4325: /* #ifdef DEBUGHESSIJ */
                   4326: /*       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); */
                   4327: /*       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); */
                   4328: /* #endif */
                   4329: /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
                   4330: /*     k=kmax; */
                   4331: /*       } */
                   4332: /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
                   4333: /*     k=kmax; l=lmax*10; */
                   4334: /*       } */
                   4335: /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
                   4336: /*     delts=delt; */
                   4337: /*       } */
                   4338: /*     } /\* End loop k *\/ */
                   4339: /*   } */
                   4340: /*   delti[theta]=delts; */
                   4341: /*   return res;  */
                   4342: /* } */
                   4343: 
                   4344: 
1.126     brouard  4345: /************** Inverse of matrix **************/
                   4346: void ludcmp(double **a, int n, int *indx, double *d) 
                   4347: { 
                   4348:   int i,imax,j,k; 
                   4349:   double big,dum,sum,temp; 
                   4350:   double *vv; 
                   4351:  
                   4352:   vv=vector(1,n); 
                   4353:   *d=1.0; 
                   4354:   for (i=1;i<=n;i++) { 
                   4355:     big=0.0; 
                   4356:     for (j=1;j<=n;j++) 
                   4357:       if ((temp=fabs(a[i][j])) > big) big=temp; 
1.256     brouard  4358:     if (big == 0.0){
                   4359:       printf(" Singular Hessian matrix at row %d:\n",i);
                   4360:       for (j=1;j<=n;j++) {
                   4361:        printf(" a[%d][%d]=%f,",i,j,a[i][j]);
                   4362:        fprintf(ficlog," a[%d][%d]=%f,",i,j,a[i][j]);
                   4363:       }
                   4364:       fflush(ficlog);
                   4365:       fclose(ficlog);
                   4366:       nrerror("Singular matrix in routine ludcmp"); 
                   4367:     }
1.126     brouard  4368:     vv[i]=1.0/big; 
                   4369:   } 
                   4370:   for (j=1;j<=n;j++) { 
                   4371:     for (i=1;i<j;i++) { 
                   4372:       sum=a[i][j]; 
                   4373:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   4374:       a[i][j]=sum; 
                   4375:     } 
                   4376:     big=0.0; 
                   4377:     for (i=j;i<=n;i++) { 
                   4378:       sum=a[i][j]; 
                   4379:       for (k=1;k<j;k++) 
                   4380:        sum -= a[i][k]*a[k][j]; 
                   4381:       a[i][j]=sum; 
                   4382:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   4383:        big=dum; 
                   4384:        imax=i; 
                   4385:       } 
                   4386:     } 
                   4387:     if (j != imax) { 
                   4388:       for (k=1;k<=n;k++) { 
                   4389:        dum=a[imax][k]; 
                   4390:        a[imax][k]=a[j][k]; 
                   4391:        a[j][k]=dum; 
                   4392:       } 
                   4393:       *d = -(*d); 
                   4394:       vv[imax]=vv[j]; 
                   4395:     } 
                   4396:     indx[j]=imax; 
                   4397:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   4398:     if (j != n) { 
                   4399:       dum=1.0/(a[j][j]); 
                   4400:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   4401:     } 
                   4402:   } 
                   4403:   free_vector(vv,1,n);  /* Doesn't work */
                   4404: ;
                   4405: } 
                   4406: 
                   4407: void lubksb(double **a, int n, int *indx, double b[]) 
                   4408: { 
                   4409:   int i,ii=0,ip,j; 
                   4410:   double sum; 
                   4411:  
                   4412:   for (i=1;i<=n;i++) { 
                   4413:     ip=indx[i]; 
                   4414:     sum=b[ip]; 
                   4415:     b[ip]=b[i]; 
                   4416:     if (ii) 
                   4417:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   4418:     else if (sum) ii=i; 
                   4419:     b[i]=sum; 
                   4420:   } 
                   4421:   for (i=n;i>=1;i--) { 
                   4422:     sum=b[i]; 
                   4423:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   4424:     b[i]=sum/a[i][i]; 
                   4425:   } 
                   4426: } 
                   4427: 
                   4428: void pstamp(FILE *fichier)
                   4429: {
1.196     brouard  4430:   fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
1.126     brouard  4431: }
                   4432: 
1.297     brouard  4433: void date2dmy(double date,double *day, double *month, double *year){
                   4434:   double yp=0., yp1=0., yp2=0.;
                   4435:   
                   4436:   yp1=modf(date,&yp);/* extracts integral of date in yp  and
                   4437:                        fractional in yp1 */
                   4438:   *year=yp;
                   4439:   yp2=modf((yp1*12),&yp);
                   4440:   *month=yp;
                   4441:   yp1=modf((yp2*30.5),&yp);
                   4442:   *day=yp;
                   4443:   if(*day==0) *day=1;
                   4444:   if(*month==0) *month=1;
                   4445: }
                   4446: 
1.253     brouard  4447: 
                   4448: 
1.126     brouard  4449: /************ Frequencies ********************/
1.251     brouard  4450: void  freqsummary(char fileres[], double p[], double pstart[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, \
1.226     brouard  4451:                  int *Tvaraff, int *invalidvarcomb, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[], \
                   4452:                  int firstpass,  int lastpass, int stepm, int weightopt, char model[])
1.250     brouard  4453: {  /* Some frequencies as well as proposing some starting values */
1.226     brouard  4454:   
1.265     brouard  4455:   int i, m, jk, j1, bool, z1,j, nj, nl, k, iv, jj=0, s1=1, s2=1;
1.226     brouard  4456:   int iind=0, iage=0;
                   4457:   int mi; /* Effective wave */
                   4458:   int first;
                   4459:   double ***freq; /* Frequencies */
1.268     brouard  4460:   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 */
                   4461:   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  4462:   double *meanq, *stdq, *idq;
1.226     brouard  4463:   double **meanqt;
                   4464:   double *pp, **prop, *posprop, *pospropt;
                   4465:   double pos=0., posproptt=0., pospropta=0., k2, dateintsum=0,k2cpt=0;
                   4466:   char fileresp[FILENAMELENGTH], fileresphtm[FILENAMELENGTH], fileresphtmfr[FILENAMELENGTH];
                   4467:   double agebegin, ageend;
                   4468:     
                   4469:   pp=vector(1,nlstate);
1.251     brouard  4470:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+4+AGEMARGE); 
1.226     brouard  4471:   posprop=vector(1,nlstate); /* Counting the number of transition starting from a live state per age */ 
                   4472:   pospropt=vector(1,nlstate); /* Counting the number of transition starting from a live state */ 
                   4473:   /* prop=matrix(1,nlstate,iagemin,iagemax+3); */
                   4474:   meanq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.284     brouard  4475:   stdq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.283     brouard  4476:   idq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.226     brouard  4477:   meanqt=matrix(1,lastpass,1,nqtveff);
                   4478:   strcpy(fileresp,"P_");
                   4479:   strcat(fileresp,fileresu);
                   4480:   /*strcat(fileresphtm,fileresu);*/
                   4481:   if((ficresp=fopen(fileresp,"w"))==NULL) {
                   4482:     printf("Problem with prevalence resultfile: %s\n", fileresp);
                   4483:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
                   4484:     exit(0);
                   4485:   }
1.240     brouard  4486:   
1.226     brouard  4487:   strcpy(fileresphtm,subdirfext(optionfilefiname,"PHTM_",".htm"));
                   4488:   if((ficresphtm=fopen(fileresphtm,"w"))==NULL) {
                   4489:     printf("Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   4490:     fprintf(ficlog,"Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   4491:     fflush(ficlog);
                   4492:     exit(70); 
                   4493:   }
                   4494:   else{
                   4495:     fprintf(ficresphtm,"<html><head>\n<title>IMaCh PHTM_ %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
1.240     brouard  4496: <hr size=\"2\" color=\"#EC5E5E\"> \n                                   \
1.214     brouard  4497: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  4498:            fileresphtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   4499:   }
1.237     brouard  4500:   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  4501:   
1.226     brouard  4502:   strcpy(fileresphtmfr,subdirfext(optionfilefiname,"PHTMFR_",".htm"));
                   4503:   if((ficresphtmfr=fopen(fileresphtmfr,"w"))==NULL) {
                   4504:     printf("Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   4505:     fprintf(ficlog,"Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   4506:     fflush(ficlog);
                   4507:     exit(70); 
1.240     brouard  4508:   } else{
1.226     brouard  4509:     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  4510: <hr size=\"2\" color=\"#EC5E5E\"> \n                                   \
1.214     brouard  4511: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  4512:            fileresphtmfr,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   4513:   }
1.240     brouard  4514:   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);
                   4515:   
1.253     brouard  4516:   y= vector(iagemin-AGEMARGE,iagemax+4+AGEMARGE);
                   4517:   x= vector(iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.251     brouard  4518:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.226     brouard  4519:   j1=0;
1.126     brouard  4520:   
1.227     brouard  4521:   /* j=ncoveff;  /\* Only fixed dummy covariates *\/ */
                   4522:   j=cptcoveff;  /* Only dummy covariates of the model */
1.226     brouard  4523:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.240     brouard  4524:   
                   4525:   
1.226     brouard  4526:   /* Detects if a combination j1 is empty: for a multinomial variable like 3 education levels:
                   4527:      reference=low_education V1=0,V2=0
                   4528:      med_educ                V1=1 V2=0, 
                   4529:      high_educ               V1=0 V2=1
                   4530:      Then V1=1 and V2=1 is a noisy combination that we want to exclude for the list 2**cptcoveff 
                   4531:   */
1.249     brouard  4532:   dateintsum=0;
                   4533:   k2cpt=0;
                   4534: 
1.253     brouard  4535:   if(cptcoveff == 0 )
1.265     brouard  4536:     nl=1;  /* Constant and age model only */
1.253     brouard  4537:   else
                   4538:     nl=2;
1.265     brouard  4539: 
                   4540:   /* if a constant only model, one pass to compute frequency tables and to write it on ficresp */
                   4541:   /* Loop on nj=1 or 2 if dummy covariates j!=0
                   4542:    *   Loop on j1(1 to 2**cptcoveff) covariate combination
                   4543:    *     freq[s1][s2][iage] =0.
                   4544:    *     Loop on iind
                   4545:    *       ++freq[s1][s2][iage] weighted
                   4546:    *     end iind
                   4547:    *     if covariate and j!0
                   4548:    *       headers Variable on one line
                   4549:    *     endif cov j!=0
                   4550:    *     header of frequency table by age
                   4551:    *     Loop on age
                   4552:    *       pp[s1]+=freq[s1][s2][iage] weighted
                   4553:    *       pos+=freq[s1][s2][iage] weighted
                   4554:    *       Loop on s1 initial state
                   4555:    *         fprintf(ficresp
                   4556:    *       end s1
                   4557:    *     end age
                   4558:    *     if j!=0 computes starting values
                   4559:    *     end compute starting values
                   4560:    *   end j1
                   4561:    * end nl 
                   4562:    */
1.253     brouard  4563:   for (nj = 1; nj <= nl; nj++){   /* nj= 1 constant model, nl number of loops. */
                   4564:     if(nj==1)
                   4565:       j=0;  /* First pass for the constant */
1.265     brouard  4566:     else{
1.253     brouard  4567:       j=cptcoveff; /* Other passes for the covariate values */
1.265     brouard  4568:     }
1.251     brouard  4569:     first=1;
1.265     brouard  4570:     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  4571:       posproptt=0.;
                   4572:       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
                   4573:        scanf("%d", i);*/
                   4574:       for (i=-5; i<=nlstate+ndeath; i++)  
1.265     brouard  4575:        for (s2=-5; s2<=nlstate+ndeath; s2++)  
1.251     brouard  4576:          for(m=iagemin; m <= iagemax+3; m++)
1.265     brouard  4577:            freq[i][s2][m]=0;
1.251     brouard  4578:       
                   4579:       for (i=1; i<=nlstate; i++)  {
1.240     brouard  4580:        for(m=iagemin; m <= iagemax+3; m++)
1.251     brouard  4581:          prop[i][m]=0;
                   4582:        posprop[i]=0;
                   4583:        pospropt[i]=0;
                   4584:       }
1.283     brouard  4585:       for (z1=1; z1<= nqfveff; z1++) { /* zeroing for each combination j1 as well as for the total */
1.284     brouard  4586:         idq[z1]=0.;
                   4587:         meanq[z1]=0.;
                   4588:         stdq[z1]=0.;
1.283     brouard  4589:       }
                   4590:       /* for (z1=1; z1<= nqtveff; z1++) { */
1.251     brouard  4591:       /*   for(m=1;m<=lastpass;m++){ */
1.283     brouard  4592:       /*         meanqt[m][z1]=0.; */
                   4593:       /*       } */
                   4594:       /* }       */
1.251     brouard  4595:       /* dateintsum=0; */
                   4596:       /* k2cpt=0; */
                   4597:       
1.265     brouard  4598:       /* For that combination of covariates j1 (V4=1 V3=0 for example), we count and print the frequencies in one pass */
1.251     brouard  4599:       for (iind=1; iind<=imx; iind++) { /* For each individual iind */
                   4600:        bool=1;
                   4601:        if(j !=0){
                   4602:          if(anyvaryingduminmodel==0){ /* If All fixed covariates */
                   4603:            if (cptcoveff >0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
                   4604:              for (z1=1; z1<=cptcoveff; z1++) { /* loops on covariates in the model */
                   4605:                /* if(Tvaraff[z1] ==-20){ */
                   4606:                /*       /\* sumnew+=cotvar[mw[mi][iind]][z1][iind]; *\/ */
                   4607:                /* }else  if(Tvaraff[z1] ==-10){ */
                   4608:                /*       /\* sumnew+=coqvar[z1][iind]; *\/ */
                   4609:                /* }else  */
                   4610:                if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){ /* for combination j1 of covariates */
1.265     brouard  4611:                  /* Tests if the value of the covariate z1 for this individual iind responded to combination j1 (V4=1 V3=0) */
1.251     brouard  4612:                  bool=0; /* bool should be equal to 1 to be selected, one covariate value failed */
                   4613:                  /* 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", 
                   4614:                     bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
                   4615:                     j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
                   4616:                  /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
                   4617:                } /* Onlyf fixed */
                   4618:              } /* end z1 */
                   4619:            } /* cptcovn > 0 */
                   4620:          } /* end any */
                   4621:        }/* end j==0 */
1.265     brouard  4622:        if (bool==1){ /* We selected an individual iind satisfying combination j1 (V4=1 V3=0) or all fixed covariates */
1.251     brouard  4623:          /* for(m=firstpass; m<=lastpass; m++){ */
1.284     brouard  4624:          for(mi=1; mi<wav[iind];mi++){ /* For each wave */
1.251     brouard  4625:            m=mw[mi][iind];
                   4626:            if(j!=0){
                   4627:              if(anyvaryingduminmodel==1){ /* Some are varying covariates */
                   4628:                for (z1=1; z1<=cptcoveff; z1++) {
                   4629:                  if( Fixed[Tmodelind[z1]]==1){
                   4630:                    iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   4631:                    if (cotvar[m][iv][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality. If covariate's 
                   4632:                                                                                      value is -1, we don't select. It differs from the 
                   4633:                                                                                      constant and age model which counts them. */
                   4634:                      bool=0; /* not selected */
                   4635:                  }else if( Fixed[Tmodelind[z1]]== 0) { /* fixed */
                   4636:                    if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   4637:                      bool=0;
                   4638:                    }
                   4639:                  }
                   4640:                }
                   4641:              }/* Some are varying covariates, we tried to speed up if all fixed covariates in the model, avoiding waves loop  */
                   4642:            } /* end j==0 */
                   4643:            /* bool =0 we keep that guy which corresponds to the combination of dummy values */
1.284     brouard  4644:            if(bool==1){ /*Selected */
1.251     brouard  4645:              /* dh[m][iind] or dh[mw[mi][iind]][iind] is the delay between two effective (mi) waves m=mw[mi][iind]
                   4646:                 and mw[mi+1][iind]. dh depends on stepm. */
                   4647:              agebegin=agev[m][iind]; /* Age at beginning of wave before transition*/
                   4648:              ageend=agev[m][iind]+(dh[m][iind])*stepm/YEARM; /* Age at end of wave and transition */
                   4649:              if(m >=firstpass && m <=lastpass){
                   4650:                k2=anint[m][iind]+(mint[m][iind]/12.);
                   4651:                /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   4652:                if(agev[m][iind]==0) agev[m][iind]=iagemax+1;  /* All ages equal to 0 are in iagemax+1 */
                   4653:                if(agev[m][iind]==1) agev[m][iind]=iagemax+2;  /* All ages equal to 1 are in iagemax+2 */
                   4654:                if (s[m][iind]>0 && s[m][iind]<=nlstate)  /* If status at wave m is known and a live state */
                   4655:                  prop[s[m][iind]][(int)agev[m][iind]] += weight[iind];  /* At age of beginning of transition, where status is known */
                   4656:                if (m<lastpass) {
                   4657:                  /* if(s[m][iind]==4 && s[m+1][iind]==4) */
                   4658:                  /*   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]); */
                   4659:                  if(s[m][iind]==-1)
                   4660:                    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.));
                   4661:                  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  4662:                  for (z1=1; z1<= nqfveff; z1++) { /* Quantitative variables, calculating mean */
                   4663:                    idq[z1]=idq[z1]+weight[iind];
                   4664:                    meanq[z1]+=covar[ncovcol+z1][iind]*weight[iind];  /* Computes mean of quantitative with selected filter */
                   4665:                    stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]*weight[iind]; /* *weight[iind];*/  /* Computes mean of quantitative with selected filter */
                   4666:                  }
1.251     brouard  4667:                  /* if((int)agev[m][iind] == 55) */
                   4668:                  /*   printf("j=%d, j1=%d Age %d, iind=%d, num=%09ld m=%d\n",j,j1,(int)agev[m][iind],iind, num[iind],m); */
                   4669:                  /* freq[s[m][iind]][s[m+1][iind]][(int)((agebegin+ageend)/2.)] += weight[iind]; */
                   4670:                  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  4671:                }
1.251     brouard  4672:              } /* end if between passes */  
                   4673:              if ((agev[m][iind]>1) && (agev[m][iind]< (iagemax+3)) && (anint[m][iind]!=9999) && (mint[m][iind]!=99) && (j==0)) {
                   4674:                dateintsum=dateintsum+k2; /* on all covariates ?*/
                   4675:                k2cpt++;
                   4676:                /* printf("iind=%ld dateintmean = %lf dateintsum=%lf k2cpt=%lf k2=%lf\n",iind, dateintsum/k2cpt, dateintsum,k2cpt, k2); */
1.234     brouard  4677:              }
1.251     brouard  4678:            }else{
                   4679:              bool=1;
                   4680:            }/* end bool 2 */
                   4681:          } /* end m */
1.284     brouard  4682:          /* for (z1=1; z1<= nqfveff; z1++) { /\* Quantitative variables, calculating mean *\/ */
                   4683:          /*   idq[z1]=idq[z1]+weight[iind]; */
                   4684:          /*   meanq[z1]+=covar[ncovcol+z1][iind]*weight[iind];  /\* Computes mean of quantitative with selected filter *\/ */
                   4685:          /*   stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]*weight[iind]; /\* *weight[iind];*\/  /\* Computes mean of quantitative with selected filter *\/ */
                   4686:          /* } */
1.251     brouard  4687:        } /* end bool */
                   4688:       } /* end iind = 1 to imx */
                   4689:       /* prop[s][age] is feeded for any initial and valid live state as well as
                   4690:         freq[s1][s2][age] at single age of beginning the transition, for a combination j1 */
                   4691:       
                   4692:       
                   4693:       /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
1.265     brouard  4694:       if(cptcoveff==0 && nj==1) /* no covariate and first pass */
                   4695:         pstamp(ficresp);
1.251     brouard  4696:       if  (cptcoveff>0 && j!=0){
1.265     brouard  4697:         pstamp(ficresp);
1.251     brouard  4698:        printf( "\n#********** Variable "); 
                   4699:        fprintf(ficresp, "\n#********** Variable "); 
                   4700:        fprintf(ficresphtm, "\n<br/><br/><h3>********** Variable "); 
                   4701:        fprintf(ficresphtmfr, "\n<br/><br/><h3>********** Variable "); 
                   4702:        fprintf(ficlog, "\n#********** Variable "); 
                   4703:        for (z1=1; z1<=cptcoveff; z1++){
                   4704:          if(!FixedV[Tvaraff[z1]]){
                   4705:            printf( "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4706:            fprintf(ficresp, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4707:            fprintf(ficresphtm, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4708:            fprintf(ficresphtmfr, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4709:            fprintf(ficlog, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.250     brouard  4710:          }else{
1.251     brouard  4711:            printf( "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4712:            fprintf(ficresp, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4713:            fprintf(ficresphtm, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4714:            fprintf(ficresphtmfr, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4715:            fprintf(ficlog, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4716:          }
                   4717:        }
                   4718:        printf( "**********\n#");
                   4719:        fprintf(ficresp, "**********\n#");
                   4720:        fprintf(ficresphtm, "**********</h3>\n");
                   4721:        fprintf(ficresphtmfr, "**********</h3>\n");
                   4722:        fprintf(ficlog, "**********\n");
                   4723:       }
1.284     brouard  4724:       /*
                   4725:        Printing means of quantitative variables if any
                   4726:       */
                   4727:       for (z1=1; z1<= nqfveff; z1++) {
1.285     brouard  4728:        fprintf(ficlog,"Mean of fixed quantitative variable V%d on %.0f individuals sum=%f", ncovcol+z1, idq[z1], meanq[z1]);
1.284     brouard  4729:        fprintf(ficlog,", mean=%.3g\n",meanq[z1]/idq[z1]);
                   4730:        if(weightopt==1){
                   4731:          printf(" Weighted mean and standard deviation of");
                   4732:          fprintf(ficlog," Weighted mean and standard deviation of");
                   4733:          fprintf(ficresphtmfr," Weighted mean and standard deviation of");
                   4734:        }
1.285     brouard  4735:        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]));
                   4736:        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]));
                   4737:        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  4738:       }
                   4739:       /* for (z1=1; z1<= nqtveff; z1++) { */
                   4740:       /*       for(m=1;m<=lastpass;m++){ */
                   4741:       /*         fprintf(ficresphtmfr,"V quantitative id %d, pass id=%d, mean=%f<p>\n", z1, m, meanqt[m][z1]); */
                   4742:       /*   } */
                   4743:       /* } */
1.283     brouard  4744: 
1.251     brouard  4745:       fprintf(ficresphtm,"<table style=\"text-align:center; border: 1px solid\">");
1.265     brouard  4746:       if((cptcoveff==0 && nj==1)|| nj==2 ) /* no covariate and first pass */
                   4747:         fprintf(ficresp, " Age");
                   4748:       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  4749:       for(i=1; i<=nlstate;i++) {
1.265     brouard  4750:        if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp," Prev(%d)  N(%d)  N  ",i,i);
1.251     brouard  4751:        fprintf(ficresphtm, "<th>Age</th><th>Prev(%d)</th><th>N(%d)</th><th>N</th>",i,i);
                   4752:       }
1.265     brouard  4753:       if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp, "\n");
1.251     brouard  4754:       fprintf(ficresphtm, "\n");
                   4755:       
                   4756:       /* Header of frequency table by age */
                   4757:       fprintf(ficresphtmfr,"<table style=\"text-align:center; border: 1px solid\">");
                   4758:       fprintf(ficresphtmfr,"<th>Age</th> ");
1.265     brouard  4759:       for(s2=-1; s2 <=nlstate+ndeath; s2++){
1.251     brouard  4760:        for(m=-1; m <=nlstate+ndeath; m++){
1.265     brouard  4761:          if(s2!=0 && m!=0)
                   4762:            fprintf(ficresphtmfr,"<th>%d%d</th> ",s2,m);
1.240     brouard  4763:        }
1.226     brouard  4764:       }
1.251     brouard  4765:       fprintf(ficresphtmfr, "\n");
                   4766:     
                   4767:       /* For each age */
                   4768:       for(iage=iagemin; iage <= iagemax+3; iage++){
                   4769:        fprintf(ficresphtm,"<tr>");
                   4770:        if(iage==iagemax+1){
                   4771:          fprintf(ficlog,"1");
                   4772:          fprintf(ficresphtmfr,"<tr><th>0</th> ");
                   4773:        }else if(iage==iagemax+2){
                   4774:          fprintf(ficlog,"0");
                   4775:          fprintf(ficresphtmfr,"<tr><th>Unknown</th> ");
                   4776:        }else if(iage==iagemax+3){
                   4777:          fprintf(ficlog,"Total");
                   4778:          fprintf(ficresphtmfr,"<tr><th>Total</th> ");
                   4779:        }else{
1.240     brouard  4780:          if(first==1){
1.251     brouard  4781:            first=0;
                   4782:            printf("See log file for details...\n");
                   4783:          }
                   4784:          fprintf(ficresphtmfr,"<tr><th>%d</th> ",iage);
                   4785:          fprintf(ficlog,"Age %d", iage);
                   4786:        }
1.265     brouard  4787:        for(s1=1; s1 <=nlstate ; s1++){
                   4788:          for(m=-1, pp[s1]=0; m <=nlstate+ndeath ; m++)
                   4789:            pp[s1] += freq[s1][m][iage]; 
1.251     brouard  4790:        }
1.265     brouard  4791:        for(s1=1; s1 <=nlstate ; s1++){
1.251     brouard  4792:          for(m=-1, pos=0; m <=0 ; m++)
1.265     brouard  4793:            pos += freq[s1][m][iage];
                   4794:          if(pp[s1]>=1.e-10){
1.251     brouard  4795:            if(first==1){
1.265     brouard  4796:              printf(" %d.=%.0f loss[%d]=%.1f%%",s1,pp[s1],s1,100*pos/pp[s1]);
1.251     brouard  4797:            }
1.265     brouard  4798:            fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",s1,pp[s1],s1,100*pos/pp[s1]);
1.251     brouard  4799:          }else{
                   4800:            if(first==1)
1.265     brouard  4801:              printf(" %d.=%.0f loss[%d]=NaNQ%%",s1,pp[s1],s1);
                   4802:            fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",s1,pp[s1],s1);
1.240     brouard  4803:          }
                   4804:        }
                   4805:       
1.265     brouard  4806:        for(s1=1; s1 <=nlstate ; s1++){ 
                   4807:          /* posprop[s1]=0; */
                   4808:          for(m=0, pp[s1]=0; m <=nlstate+ndeath; m++)/* Summing on all ages */
                   4809:            pp[s1] += freq[s1][m][iage];
                   4810:        }       /* pp[s1] is the total number of transitions starting from state s1 and any ending status until this age */
                   4811:       
                   4812:        for(s1=1,pos=0, pospropta=0.; s1 <=nlstate ; s1++){
                   4813:          pos += pp[s1]; /* pos is the total number of transitions until this age */
                   4814:          posprop[s1] += prop[s1][iage]; /* prop is the number of transitions from a live state
                   4815:                                            from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4816:          pospropta += prop[s1][iage]; /* prop is the number of transitions from a live state
                   4817:                                          from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4818:        }
                   4819:        
                   4820:        /* Writing ficresp */
                   4821:        if(cptcoveff==0 && nj==1){ /* no covariate and first pass */
                   4822:           if( iage <= iagemax){
                   4823:            fprintf(ficresp," %d",iage);
                   4824:           }
                   4825:         }else if( nj==2){
                   4826:           if( iage <= iagemax){
                   4827:            fprintf(ficresp," %d",iage);
                   4828:             for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, " %d %d",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4829:           }
1.240     brouard  4830:        }
1.265     brouard  4831:        for(s1=1; s1 <=nlstate ; s1++){
1.240     brouard  4832:          if(pos>=1.e-5){
1.251     brouard  4833:            if(first==1)
1.265     brouard  4834:              printf(" %d.=%.0f prev[%d]=%.1f%%",s1,pp[s1],s1,100*pp[s1]/pos);
                   4835:            fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",s1,pp[s1],s1,100*pp[s1]/pos);
1.251     brouard  4836:          }else{
                   4837:            if(first==1)
1.265     brouard  4838:              printf(" %d.=%.0f prev[%d]=NaNQ%%",s1,pp[s1],s1);
                   4839:            fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",s1,pp[s1],s1);
1.251     brouard  4840:          }
                   4841:          if( iage <= iagemax){
                   4842:            if(pos>=1.e-5){
1.265     brouard  4843:              if(cptcoveff==0 && nj==1){ /* no covariate and first pass */
                   4844:                fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   4845:               }else if( nj==2){
                   4846:                fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   4847:               }
                   4848:              fprintf(ficresphtm,"<th>%d</th><td>%.5f</td><td>%.0f</td><td>%.0f</td>",iage,prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   4849:              /*probs[iage][s1][j1]= pp[s1]/pos;*/
                   4850:              /*printf("\niage=%d s1=%d j1=%d %.5f %.0f %.0f %f",iage,s1,j1,pp[s1]/pos, pp[s1],pos,probs[iage][s1][j1]);*/
                   4851:            } else{
                   4852:              if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp," NaNq %.0f %.0f",prop[s1][iage],pospropta);
                   4853:              fprintf(ficresphtm,"<th>%d</th><td>NaNq</td><td>%.0f</td><td>%.0f</td>",iage, prop[s1][iage],pospropta);
1.251     brouard  4854:            }
1.240     brouard  4855:          }
1.265     brouard  4856:          pospropt[s1] +=posprop[s1];
                   4857:        } /* end loop s1 */
1.251     brouard  4858:        /* pospropt=0.; */
1.265     brouard  4859:        for(s1=-1; s1 <=nlstate+ndeath; s1++){
1.251     brouard  4860:          for(m=-1; m <=nlstate+ndeath; m++){
1.265     brouard  4861:            if(freq[s1][m][iage] !=0 ) { /* minimizing output */
1.251     brouard  4862:              if(first==1){
1.265     brouard  4863:                printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]);
1.251     brouard  4864:              }
1.265     brouard  4865:              /* printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]); */
                   4866:              fprintf(ficlog," %d%d=%.0f",s1,m,freq[s1][m][iage]);
1.251     brouard  4867:            }
1.265     brouard  4868:            if(s1!=0 && m!=0)
                   4869:              fprintf(ficresphtmfr,"<td>%.0f</td> ",freq[s1][m][iage]);
1.240     brouard  4870:          }
1.265     brouard  4871:        } /* end loop s1 */
1.251     brouard  4872:        posproptt=0.; 
1.265     brouard  4873:        for(s1=1; s1 <=nlstate; s1++){
                   4874:          posproptt += pospropt[s1];
1.251     brouard  4875:        }
                   4876:        fprintf(ficresphtmfr,"</tr>\n ");
1.265     brouard  4877:        fprintf(ficresphtm,"</tr>\n");
                   4878:        if((cptcoveff==0 && nj==1)|| nj==2 ) {
                   4879:          if(iage <= iagemax)
                   4880:            fprintf(ficresp,"\n");
1.240     brouard  4881:        }
1.251     brouard  4882:        if(first==1)
                   4883:          printf("Others in log...\n");
                   4884:        fprintf(ficlog,"\n");
                   4885:       } /* end loop age iage */
1.265     brouard  4886:       
1.251     brouard  4887:       fprintf(ficresphtm,"<tr><th>Tot</th>");
1.265     brouard  4888:       for(s1=1; s1 <=nlstate ; s1++){
1.251     brouard  4889:        if(posproptt < 1.e-5){
1.265     brouard  4890:          fprintf(ficresphtm,"<td>Nanq</td><td>%.0f</td><td>%.0f</td>",pospropt[s1],posproptt); 
1.251     brouard  4891:        }else{
1.265     brouard  4892:          fprintf(ficresphtm,"<td>%.5f</td><td>%.0f</td><td>%.0f</td>",pospropt[s1]/posproptt,pospropt[s1],posproptt);  
1.240     brouard  4893:        }
1.226     brouard  4894:       }
1.251     brouard  4895:       fprintf(ficresphtm,"</tr>\n");
                   4896:       fprintf(ficresphtm,"</table>\n");
                   4897:       fprintf(ficresphtmfr,"</table>\n");
1.226     brouard  4898:       if(posproptt < 1.e-5){
1.251     brouard  4899:        fprintf(ficresphtm,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
                   4900:        fprintf(ficresphtmfr,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
1.260     brouard  4901:        fprintf(ficlog,"#  This combination (%d) is not valid and no result will be produced\n",j1);
                   4902:        printf("#  This combination (%d) is not valid and no result will be produced\n",j1);
1.251     brouard  4903:        invalidvarcomb[j1]=1;
1.226     brouard  4904:       }else{
1.251     brouard  4905:        fprintf(ficresphtm,"\n <p> This combination (%d) is valid and result will be produced.</p>",j1);
                   4906:        invalidvarcomb[j1]=0;
1.226     brouard  4907:       }
1.251     brouard  4908:       fprintf(ficresphtmfr,"</table>\n");
                   4909:       fprintf(ficlog,"\n");
                   4910:       if(j!=0){
                   4911:        printf("#Freqsummary: Starting values for combination j1=%d:\n", j1);
1.265     brouard  4912:        for(i=1,s1=1; i <=nlstate; i++){
1.251     brouard  4913:          for(k=1; k <=(nlstate+ndeath); k++){
                   4914:            if (k != i) {
1.265     brouard  4915:              for(jj=1; jj <=ncovmodel; jj++){ /* For counting s1 */
1.253     brouard  4916:                if(jj==1){  /* Constant case (in fact cste + age) */
1.251     brouard  4917:                  if(j1==1){ /* All dummy covariates to zero */
                   4918:                    freq[i][k][iagemax+4]=freq[i][k][iagemax+3]; /* Stores case 0 0 0 */
                   4919:                    freq[i][i][iagemax+4]=freq[i][i][iagemax+3]; /* Stores case 0 0 0 */
1.252     brouard  4920:                    printf("%d%d ",i,k);
                   4921:                    fprintf(ficlog,"%d%d ",i,k);
1.265     brouard  4922:                    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]));
                   4923:                    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]));
                   4924:                    pstart[s1]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]);
1.251     brouard  4925:                  }
1.253     brouard  4926:                }else if((j1==1) && (jj==2 || nagesqr==1)){ /* age or age*age parameter without covariate V4*age (to be done later) */
                   4927:                  for(iage=iagemin; iage <= iagemax+3; iage++){
                   4928:                    x[iage]= (double)iage;
                   4929:                    y[iage]= log(freq[i][k][iage]/freq[i][i][iage]);
1.265     brouard  4930:                    /* 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  4931:                  }
1.268     brouard  4932:                  /* Some are not finite, but linreg will ignore these ages */
                   4933:                  no=0;
1.253     brouard  4934:                  linreg(iagemin,iagemax,&no,x,y,&a,&b,&r, &sa, &sb ); /* y= a+b*x with standard errors */
1.265     brouard  4935:                  pstart[s1]=b;
                   4936:                  pstart[s1-1]=a;
1.252     brouard  4937:                }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 */ 
                   4938:                  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]);
                   4939:                  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  4940:                  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  4941:                  printf("%d%d ",i,k);
                   4942:                  fprintf(ficlog,"%d%d ",i,k);
1.265     brouard  4943:                  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  4944:                }else{ /* Other cases, like quantitative fixed or varying covariates */
                   4945:                  ;
                   4946:                }
                   4947:                /* printf("%12.7f )", param[i][jj][k]); */
                   4948:                /* fprintf(ficlog,"%12.7f )", param[i][jj][k]); */
1.265     brouard  4949:                s1++; 
1.251     brouard  4950:              } /* end jj */
                   4951:            } /* end k!= i */
                   4952:          } /* end k */
1.265     brouard  4953:        } /* end i, s1 */
1.251     brouard  4954:       } /* end j !=0 */
                   4955:     } /* end selected combination of covariate j1 */
                   4956:     if(j==0){ /* We can estimate starting values from the occurences in each case */
                   4957:       printf("#Freqsummary: Starting values for the constants:\n");
                   4958:       fprintf(ficlog,"\n");
1.265     brouard  4959:       for(i=1,s1=1; i <=nlstate; i++){
1.251     brouard  4960:        for(k=1; k <=(nlstate+ndeath); k++){
                   4961:          if (k != i) {
                   4962:            printf("%d%d ",i,k);
                   4963:            fprintf(ficlog,"%d%d ",i,k);
                   4964:            for(jj=1; jj <=ncovmodel; jj++){
1.265     brouard  4965:              pstart[s1]=p[s1]; /* Setting pstart to p values by default */
1.253     brouard  4966:              if(jj==1){ /* Age has to be done */
1.265     brouard  4967:                pstart[s1]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]);
                   4968:                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]));
                   4969:                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  4970:              }
                   4971:              /* printf("%12.7f )", param[i][jj][k]); */
                   4972:              /* fprintf(ficlog,"%12.7f )", param[i][jj][k]); */
1.265     brouard  4973:              s1++; 
1.250     brouard  4974:            }
1.251     brouard  4975:            printf("\n");
                   4976:            fprintf(ficlog,"\n");
1.250     brouard  4977:          }
                   4978:        }
1.284     brouard  4979:       } /* end of state i */
1.251     brouard  4980:       printf("#Freqsummary\n");
                   4981:       fprintf(ficlog,"\n");
1.265     brouard  4982:       for(s1=-1; s1 <=nlstate+ndeath; s1++){
                   4983:        for(s2=-1; s2 <=nlstate+ndeath; s2++){
                   4984:          /* param[i]|j][k]= freq[s1][s2][iagemax+3] */
                   4985:          printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]);
                   4986:          fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]);
                   4987:          /* if(freq[s1][s2][iage] !=0 ) { /\* minimizing output *\/ */
                   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]); */
1.251     brouard  4990:          /* } */
                   4991:        }
1.265     brouard  4992:       } /* end loop s1 */
1.251     brouard  4993:       
                   4994:       printf("\n");
                   4995:       fprintf(ficlog,"\n");
                   4996:     } /* end j=0 */
1.249     brouard  4997:   } /* end j */
1.252     brouard  4998: 
1.253     brouard  4999:   if(mle == -2){  /* We want to use these values as starting values */
1.252     brouard  5000:     for(i=1, jk=1; i <=nlstate; i++){
                   5001:       for(j=1; j <=nlstate+ndeath; j++){
                   5002:        if(j!=i){
                   5003:          /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   5004:          printf("%1d%1d",i,j);
                   5005:          fprintf(ficparo,"%1d%1d",i,j);
                   5006:          for(k=1; k<=ncovmodel;k++){
                   5007:            /*    printf(" %lf",param[i][j][k]); */
                   5008:            /*    fprintf(ficparo," %lf",param[i][j][k]); */
                   5009:            p[jk]=pstart[jk];
                   5010:            printf(" %f ",pstart[jk]);
                   5011:            fprintf(ficparo," %f ",pstart[jk]);
                   5012:            jk++;
                   5013:          }
                   5014:          printf("\n");
                   5015:          fprintf(ficparo,"\n");
                   5016:        }
                   5017:       }
                   5018:     }
                   5019:   } /* end mle=-2 */
1.226     brouard  5020:   dateintmean=dateintsum/k2cpt; 
1.296     brouard  5021:   date2dmy(dateintmean,&jintmean,&mintmean,&aintmean);
1.240     brouard  5022:   
1.226     brouard  5023:   fclose(ficresp);
                   5024:   fclose(ficresphtm);
                   5025:   fclose(ficresphtmfr);
1.283     brouard  5026:   free_vector(idq,1,nqfveff);
1.226     brouard  5027:   free_vector(meanq,1,nqfveff);
1.284     brouard  5028:   free_vector(stdq,1,nqfveff);
1.226     brouard  5029:   free_matrix(meanqt,1,lastpass,1,nqtveff);
1.253     brouard  5030:   free_vector(x, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
                   5031:   free_vector(y, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.251     brouard  5032:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.226     brouard  5033:   free_vector(pospropt,1,nlstate);
                   5034:   free_vector(posprop,1,nlstate);
1.251     brouard  5035:   free_matrix(prop,1,nlstate,iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.226     brouard  5036:   free_vector(pp,1,nlstate);
                   5037:   /* End of freqsummary */
                   5038: }
1.126     brouard  5039: 
1.268     brouard  5040: /* Simple linear regression */
                   5041: int linreg(int ifi, int ila, int *no, const double x[], const double y[], double* a, double* b, double* r, double* sa, double * sb) {
                   5042: 
                   5043:   /* y=a+bx regression */
                   5044:   double   sumx = 0.0;                        /* sum of x                      */
                   5045:   double   sumx2 = 0.0;                       /* sum of x**2                   */
                   5046:   double   sumxy = 0.0;                       /* sum of x * y                  */
                   5047:   double   sumy = 0.0;                        /* sum of y                      */
                   5048:   double   sumy2 = 0.0;                       /* sum of y**2                   */
                   5049:   double   sume2 = 0.0;                       /* sum of square or residuals */
                   5050:   double yhat;
                   5051:   
                   5052:   double denom=0;
                   5053:   int i;
                   5054:   int ne=*no;
                   5055:   
                   5056:   for ( i=ifi, ne=0;i<=ila;i++) {
                   5057:     if(!isfinite(x[i]) || !isfinite(y[i])){
                   5058:       /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */
                   5059:       continue;
                   5060:     }
                   5061:     ne=ne+1;
                   5062:     sumx  += x[i];       
                   5063:     sumx2 += x[i]*x[i];  
                   5064:     sumxy += x[i] * y[i];
                   5065:     sumy  += y[i];      
                   5066:     sumy2 += y[i]*y[i]; 
                   5067:     denom = (ne * sumx2 - sumx*sumx);
                   5068:     /* 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); */
                   5069:   } 
                   5070:   
                   5071:   denom = (ne * sumx2 - sumx*sumx);
                   5072:   if (denom == 0) {
                   5073:     // vertical, slope m is infinity
                   5074:     *b = INFINITY;
                   5075:     *a = 0;
                   5076:     if (r) *r = 0;
                   5077:     return 1;
                   5078:   }
                   5079:   
                   5080:   *b = (ne * sumxy  -  sumx * sumy) / denom;
                   5081:   *a = (sumy * sumx2  -  sumx * sumxy) / denom;
                   5082:   if (r!=NULL) {
                   5083:     *r = (sumxy - sumx * sumy / ne) /          /* compute correlation coeff     */
                   5084:       sqrt((sumx2 - sumx*sumx/ne) *
                   5085:           (sumy2 - sumy*sumy/ne));
                   5086:   }
                   5087:   *no=ne;
                   5088:   for ( i=ifi, ne=0;i<=ila;i++) {
                   5089:     if(!isfinite(x[i]) || !isfinite(y[i])){
                   5090:       /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */
                   5091:       continue;
                   5092:     }
                   5093:     ne=ne+1;
                   5094:     yhat = y[i] - *a -*b* x[i];
                   5095:     sume2  += yhat * yhat ;       
                   5096:     
                   5097:     denom = (ne * sumx2 - sumx*sumx);
                   5098:     /* 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); */
                   5099:   } 
                   5100:   *sb = sqrt(sume2/(double)(ne-2)/(sumx2 - sumx * sumx /(double)ne));
                   5101:   *sa= *sb * sqrt(sumx2/ne);
                   5102:   
                   5103:   return 0; 
                   5104: }
                   5105: 
1.126     brouard  5106: /************ Prevalence ********************/
1.227     brouard  5107: 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)
                   5108: {  
                   5109:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   5110:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   5111:      We still use firstpass and lastpass as another selection.
                   5112:   */
1.126     brouard  5113:  
1.227     brouard  5114:   int i, m, jk, j1, bool, z1,j, iv;
                   5115:   int mi; /* Effective wave */
                   5116:   int iage;
                   5117:   double agebegin, ageend;
                   5118: 
                   5119:   double **prop;
                   5120:   double posprop; 
                   5121:   double  y2; /* in fractional years */
                   5122:   int iagemin, iagemax;
                   5123:   int first; /** to stop verbosity which is redirected to log file */
                   5124: 
                   5125:   iagemin= (int) agemin;
                   5126:   iagemax= (int) agemax;
                   5127:   /*pp=vector(1,nlstate);*/
1.251     brouard  5128:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+4+AGEMARGE); 
1.227     brouard  5129:   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   5130:   j1=0;
1.222     brouard  5131:   
1.227     brouard  5132:   /*j=cptcoveff;*/
                   5133:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.222     brouard  5134:   
1.288     brouard  5135:   first=0;
1.227     brouard  5136:   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ /* For each combination of covariate */
                   5137:     for (i=1; i<=nlstate; i++)  
1.251     brouard  5138:       for(iage=iagemin-AGEMARGE; iage <= iagemax+4+AGEMARGE; iage++)
1.227     brouard  5139:        prop[i][iage]=0.0;
                   5140:     printf("Prevalence combination of varying and fixed dummies %d\n",j1);
                   5141:     /* fprintf(ficlog," V%d=%d ",Tvaraff[j1],nbcode[Tvaraff[j1]][codtabm(k,j1)]); */
                   5142:     fprintf(ficlog,"Prevalence combination of varying and fixed dummies %d\n",j1);
                   5143:     
                   5144:     for (i=1; i<=imx; i++) { /* Each individual */
                   5145:       bool=1;
                   5146:       /* for(m=firstpass; m<=lastpass; m++){/\* Other selection (we can limit to certain interviews*\/ */
                   5147:       for(mi=1; mi<wav[i];mi++){ /* For this wave too look where individual can be counted V4=0 V3=0 */
                   5148:        m=mw[mi][i];
                   5149:        /* Tmodelind[z1]=k is the position of the varying covariate in the model, but which # within 1 to ntv? */
                   5150:        /* Tvar[Tmodelind[z1]] is the n of Vn; n-ncovcol-nqv is the first time varying covariate or iv */
                   5151:        for (z1=1; z1<=cptcoveff; z1++){
                   5152:          if( Fixed[Tmodelind[z1]]==1){
                   5153:            iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   5154:            if (cotvar[m][iv][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality */
                   5155:              bool=0;
                   5156:          }else if( Fixed[Tmodelind[z1]]== 0)  /* fixed */
                   5157:            if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   5158:              bool=0;
                   5159:            }
                   5160:        }
                   5161:        if(bool==1){ /* Otherwise we skip that wave/person */
                   5162:          agebegin=agev[m][i]; /* Age at beginning of wave before transition*/
                   5163:          /* ageend=agev[m][i]+(dh[m][i])*stepm/YEARM; /\* Age at end of wave and transition *\/ */
                   5164:          if(m >=firstpass && m <=lastpass){
                   5165:            y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                   5166:            if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                   5167:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   5168:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
1.251     brouard  5169:              if((int)agev[m][i] <iagemin-AGEMARGE || (int)agev[m][i] >iagemax+4+AGEMARGE){
1.227     brouard  5170:                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); 
                   5171:                exit(1);
                   5172:              }
                   5173:              if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   5174:                /*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]]);*/
                   5175:                prop[s[m][i]][(int)agev[m][i]] += weight[i];/* At age of beginning of transition, where status is known */
                   5176:                prop[s[m][i]][iagemax+3] += weight[i]; 
                   5177:              } /* end valid statuses */ 
                   5178:            } /* end selection of dates */
                   5179:          } /* end selection of waves */
                   5180:        } /* end bool */
                   5181:       } /* end wave */
                   5182:     } /* end individual */
                   5183:     for(i=iagemin; i <= iagemax+3; i++){  
                   5184:       for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
                   5185:        posprop += prop[jk][i]; 
                   5186:       } 
                   5187:       
                   5188:       for(jk=1; jk <=nlstate ; jk++){      
                   5189:        if( i <=  iagemax){ 
                   5190:          if(posprop>=1.e-5){ 
                   5191:            probs[i][jk][j1]= prop[jk][i]/posprop;
                   5192:          } else{
1.288     brouard  5193:            if(!first){
                   5194:              first=1;
1.266     brouard  5195:              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]);
                   5196:            }else{
1.288     brouard  5197:              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  5198:            }
                   5199:          }
                   5200:        } 
                   5201:       }/* end jk */ 
                   5202:     }/* end i */ 
1.222     brouard  5203:      /*} *//* end i1 */
1.227     brouard  5204:   } /* end j1 */
1.222     brouard  5205:   
1.227     brouard  5206:   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   5207:   /*free_vector(pp,1,nlstate);*/
1.251     brouard  5208:   free_matrix(prop,1,nlstate, iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.227     brouard  5209: }  /* End of prevalence */
1.126     brouard  5210: 
                   5211: /************* Waves Concatenation ***************/
                   5212: 
                   5213: 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)
                   5214: {
1.298     brouard  5215:   /* 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  5216:      Death is a valid wave (if date is known).
                   5217:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   5218:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
1.298     brouard  5219:      and mw[mi+1][i]. dh depends on stepm. s[m][i] exists for any wave from firstpass to lastpass
1.227     brouard  5220:   */
1.126     brouard  5221: 
1.224     brouard  5222:   int i=0, mi=0, m=0, mli=0;
1.126     brouard  5223:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   5224:      double sum=0., jmean=0.;*/
1.224     brouard  5225:   int first=0, firstwo=0, firsthree=0, firstfour=0, firstfiv=0;
1.126     brouard  5226:   int j, k=0,jk, ju, jl;
                   5227:   double sum=0.;
                   5228:   first=0;
1.214     brouard  5229:   firstwo=0;
1.217     brouard  5230:   firsthree=0;
1.218     brouard  5231:   firstfour=0;
1.164     brouard  5232:   jmin=100000;
1.126     brouard  5233:   jmax=-1;
                   5234:   jmean=0.;
1.224     brouard  5235: 
                   5236: /* Treating live states */
1.214     brouard  5237:   for(i=1; i<=imx; i++){  /* For simple cases and if state is death */
1.224     brouard  5238:     mi=0;  /* First valid wave */
1.227     brouard  5239:     mli=0; /* Last valid wave */
1.126     brouard  5240:     m=firstpass;
1.214     brouard  5241:     while(s[m][i] <= nlstate){  /* a live state */
1.227     brouard  5242:       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 */
                   5243:        mli=m-1;/* mw[++mi][i]=m-1; */
                   5244:       }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 */
                   5245:        mw[++mi][i]=m;
                   5246:        mli=m;
1.224     brouard  5247:       } /* else might be a useless wave  -1 and mi is not incremented and mw[mi] not updated */
                   5248:       if(m < lastpass){ /* m < lastpass, standard case */
1.227     brouard  5249:        m++; /* mi gives the "effective" current wave, m the current wave, go to next wave by incrementing m */
1.216     brouard  5250:       }
1.227     brouard  5251:       else{ /* m >= lastpass, eventual special issue with warning */
1.224     brouard  5252: #ifdef UNKNOWNSTATUSNOTCONTRIBUTING
1.227     brouard  5253:        break;
1.224     brouard  5254: #else
1.227     brouard  5255:        if(s[m][i]==-1 && (int) andc[i] == 9999 && (int)anint[m][i] != 9999){
                   5256:          if(firsthree == 0){
1.262     brouard  5257:            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  5258:            firsthree=1;
                   5259:          }
1.262     brouard  5260:          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  5261:          mw[++mi][i]=m;
                   5262:          mli=m;
                   5263:        }
                   5264:        if(s[m][i]==-2){ /* Vital status is really unknown */
                   5265:          nbwarn++;
                   5266:          if((int)anint[m][i] == 9999){  /*  Has the vital status really been verified? */
                   5267:            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);
                   5268:            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);
                   5269:          }
                   5270:          break;
                   5271:        }
                   5272:        break;
1.224     brouard  5273: #endif
1.227     brouard  5274:       }/* End m >= lastpass */
1.126     brouard  5275:     }/* end while */
1.224     brouard  5276: 
1.227     brouard  5277:     /* 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  5278:     /* After last pass */
1.224     brouard  5279: /* Treating death states */
1.214     brouard  5280:     if (s[m][i] > nlstate){  /* In a death state */
1.227     brouard  5281:       /* if( mint[m][i]==mdc[m][i] && anint[m][i]==andc[m][i]){ /\* same date of death and date of interview *\/ */
                   5282:       /* } */
1.126     brouard  5283:       mi++;    /* Death is another wave */
                   5284:       /* if(mi==0)  never been interviewed correctly before death */
1.227     brouard  5285:       /* Only death is a correct wave */
1.126     brouard  5286:       mw[mi][i]=m;
1.257     brouard  5287:     } /* else not in a death state */
1.224     brouard  5288: #ifndef DISPATCHINGKNOWNDEATHAFTERLASTWAVE
1.257     brouard  5289:     else if ((int) andc[i] != 9999) {  /* Date of death is known */
1.218     brouard  5290:       if ((int)anint[m][i]!= 9999) { /* date of last interview is known */
1.227     brouard  5291:        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 */
                   5292:          nbwarn++;
                   5293:          if(firstfiv==0){
                   5294:            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 );
                   5295:            firstfiv=1;
                   5296:          }else{
                   5297:            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 );
                   5298:          }
                   5299:        }else{ /* Death occured afer last wave potential bias */
                   5300:          nberr++;
                   5301:          if(firstwo==0){
1.257     brouard  5302:            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  5303:            firstwo=1;
                   5304:          }
1.257     brouard  5305:          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  5306:        }
1.257     brouard  5307:       }else{ /* if date of interview is unknown */
1.227     brouard  5308:        /* death is known but not confirmed by death status at any wave */
                   5309:        if(firstfour==0){
                   5310:          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 );
                   5311:          firstfour=1;
                   5312:        }
                   5313:        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  5314:       }
1.224     brouard  5315:     } /* end if date of death is known */
                   5316: #endif
                   5317:     wav[i]=mi; /* mi should be the last effective wave (or mli) */
                   5318:     /* wav[i]=mw[mi][i]; */
1.126     brouard  5319:     if(mi==0){
                   5320:       nbwarn++;
                   5321:       if(first==0){
1.227     brouard  5322:        printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   5323:        first=1;
1.126     brouard  5324:       }
                   5325:       if(first==1){
1.227     brouard  5326:        fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
1.126     brouard  5327:       }
                   5328:     } /* end mi==0 */
                   5329:   } /* End individuals */
1.214     brouard  5330:   /* wav and mw are no more changed */
1.223     brouard  5331:        
1.214     brouard  5332:   
1.126     brouard  5333:   for(i=1; i<=imx; i++){
                   5334:     for(mi=1; mi<wav[i];mi++){
                   5335:       if (stepm <=0)
1.227     brouard  5336:        dh[mi][i]=1;
1.126     brouard  5337:       else{
1.260     brouard  5338:        if (s[mw[mi+1][i]][i] > nlstate) { /* A death, but what if date is unknown? */
1.227     brouard  5339:          if (agedc[i] < 2*AGESUP) {
                   5340:            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   5341:            if(j==0) j=1;  /* Survives at least one month after exam */
                   5342:            else if(j<0){
                   5343:              nberr++;
                   5344:              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]);
                   5345:              j=1; /* Temporary Dangerous patch */
                   5346:              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);
                   5347:              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]);
                   5348:              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);
                   5349:            }
                   5350:            k=k+1;
                   5351:            if (j >= jmax){
                   5352:              jmax=j;
                   5353:              ijmax=i;
                   5354:            }
                   5355:            if (j <= jmin){
                   5356:              jmin=j;
                   5357:              ijmin=i;
                   5358:            }
                   5359:            sum=sum+j;
                   5360:            /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   5361:            /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   5362:          }
                   5363:        }
                   5364:        else{
                   5365:          j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
1.126     brouard  5366: /*       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  5367:                                        
1.227     brouard  5368:          k=k+1;
                   5369:          if (j >= jmax) {
                   5370:            jmax=j;
                   5371:            ijmax=i;
                   5372:          }
                   5373:          else if (j <= jmin){
                   5374:            jmin=j;
                   5375:            ijmin=i;
                   5376:          }
                   5377:          /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   5378:          /*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]);*/
                   5379:          if(j<0){
                   5380:            nberr++;
                   5381:            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]);
                   5382:            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]);
                   5383:          }
                   5384:          sum=sum+j;
                   5385:        }
                   5386:        jk= j/stepm;
                   5387:        jl= j -jk*stepm;
                   5388:        ju= j -(jk+1)*stepm;
                   5389:        if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   5390:          if(jl==0){
                   5391:            dh[mi][i]=jk;
                   5392:            bh[mi][i]=0;
                   5393:          }else{ /* We want a negative bias in order to only have interpolation ie
                   5394:                  * to avoid the price of an extra matrix product in likelihood */
                   5395:            dh[mi][i]=jk+1;
                   5396:            bh[mi][i]=ju;
                   5397:          }
                   5398:        }else{
                   5399:          if(jl <= -ju){
                   5400:            dh[mi][i]=jk;
                   5401:            bh[mi][i]=jl;       /* bias is positive if real duration
                   5402:                                 * is higher than the multiple of stepm and negative otherwise.
                   5403:                                 */
                   5404:          }
                   5405:          else{
                   5406:            dh[mi][i]=jk+1;
                   5407:            bh[mi][i]=ju;
                   5408:          }
                   5409:          if(dh[mi][i]==0){
                   5410:            dh[mi][i]=1; /* At least one step */
                   5411:            bh[mi][i]=ju; /* At least one step */
                   5412:            /*  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);*/
                   5413:          }
                   5414:        } /* end if mle */
1.126     brouard  5415:       }
                   5416:     } /* end wave */
                   5417:   }
                   5418:   jmean=sum/k;
                   5419:   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  5420:   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  5421: }
1.126     brouard  5422: 
                   5423: /*********** Tricode ****************************/
1.220     brouard  5424:  void tricode(int *cptcov, int *Tvar, int **nbcode, int imx, int *Ndum)
1.242     brouard  5425:  {
                   5426:    /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   5427:    /*    Tvar[i]=atoi(stre);  find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1 
                   5428:     * Boring subroutine which should only output nbcode[Tvar[j]][k]
                   5429:     * Tvar[5] in V2+V1+V3*age+V2*V4 is 4 (V4) even it is a time varying or quantitative variable
                   5430:     * nbcode[Tvar[5]][1]= nbcode[4][1]=0, nbcode[4][2]=1 (usually);
                   5431:     */
1.130     brouard  5432: 
1.242     brouard  5433:    int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
                   5434:    int modmaxcovj=0; /* Modality max of covariates j */
                   5435:    int cptcode=0; /* Modality max of covariates j */
                   5436:    int modmincovj=0; /* Modality min of covariates j */
1.145     brouard  5437: 
                   5438: 
1.242     brouard  5439:    /* cptcoveff=0;  */
                   5440:    /* *cptcov=0; */
1.126     brouard  5441:  
1.242     brouard  5442:    for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.285     brouard  5443:    for (k=1; k <= maxncov; k++)
                   5444:      for(j=1; j<=2; j++)
                   5445:        nbcode[k][j]=0; /* Valgrind */
1.126     brouard  5446: 
1.242     brouard  5447:    /* Loop on covariates without age and products and no quantitative variable */
                   5448:    for (k=1; k<=cptcovt; k++) { /* From model V1 + V2*age + V3 + V3*V4 keeps V1 + V3 = 2 only */
                   5449:      for (j=-1; (j < maxncov); j++) Ndum[j]=0;
                   5450:      if(Dummy[k]==0 && Typevar[k] !=1){ /* Dummy covariate and not age product */ 
                   5451:        switch(Fixed[k]) {
                   5452:        case 0: /* Testing on fixed dummy covariate, simple or product of fixed */
                   5453:         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*/
                   5454:           ij=(int)(covar[Tvar[k]][i]);
                   5455:           /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                   5456:            * If product of Vn*Vm, still boolean *:
                   5457:            * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                   5458:            * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
                   5459:           /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
                   5460:              modality of the nth covariate of individual i. */
                   5461:           if (ij > modmaxcovj)
                   5462:             modmaxcovj=ij; 
                   5463:           else if (ij < modmincovj) 
                   5464:             modmincovj=ij; 
1.287     brouard  5465:           if (ij <0 || ij >1 ){
                   5466:             printf("Information, IMaCh doesn't treat covariate with missing values (-1), individual %d will be skipped.\n",i);
                   5467:             fprintf(ficlog,"Information, currently IMaCh doesn't treat covariate with missing values (-1), individual %d will be skipped.\n",i);
                   5468:           }
                   5469:           if ((ij < -1) || (ij > NCOVMAX)){
1.242     brouard  5470:             printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
                   5471:             exit(1);
                   5472:           }else
                   5473:             Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
                   5474:           /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
                   5475:           /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
                   5476:           /* getting the maximum value of the modality of the covariate
                   5477:              (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
                   5478:              female ies 1, then modmaxcovj=1.
                   5479:           */
                   5480:         } /* end for loop on individuals i */
                   5481:         printf(" Minimal and maximal values of %d th (fixed) covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   5482:         fprintf(ficlog," Minimal and maximal values of %d th (fixed) covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   5483:         cptcode=modmaxcovj;
                   5484:         /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
                   5485:         /*for (i=0; i<=cptcode; i++) {*/
                   5486:         for (j=modmincovj;  j<=modmaxcovj; j++) { /* j=-1 ? 0 and 1*//* For each value j of the modality of model-cov k */
                   5487:           printf("Frequencies of (fixed) covariate %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   5488:           fprintf(ficlog, "Frequencies of (fixed) covariate %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   5489:           if( Ndum[j] != 0 ){ /* Counts if nobody answered modality j ie empty modality, we skip it and reorder */
                   5490:             if( j != -1){
                   5491:               ncodemax[k]++;  /* ncodemax[k]= Number of modalities of the k th
                   5492:                                  covariate for which somebody answered excluding 
                   5493:                                  undefined. Usually 2: 0 and 1. */
                   5494:             }
                   5495:             ncodemaxwundef[k]++; /* ncodemax[j]= Number of modalities of the k th
                   5496:                                     covariate for which somebody answered including 
                   5497:                                     undefined. Usually 3: -1, 0 and 1. */
                   5498:           }    /* In fact  ncodemax[k]=2 (dichotom. variables only) but it could be more for
                   5499:                 * historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
                   5500:         } /* Ndum[-1] number of undefined modalities */
1.231     brouard  5501:                        
1.242     brouard  5502:         /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
                   5503:         /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. */
                   5504:         /* If Ndum[1]=0, Ndum[2]=0, Ndum[3]= 635, Ndum[4]=0, Ndum[5]=0, Ndum[6]=27, Ndum[7]=125; */
                   5505:         /* modmincovj=3; modmaxcovj = 7; */
                   5506:         /* There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3; */
                   5507:         /* which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10; */
                   5508:         /*              defining two dummy variables: variables V1_1 and V1_2.*/
                   5509:         /* nbcode[Tvar[j]][ij]=k; */
                   5510:         /* nbcode[Tvar[j]][1]=0; */
                   5511:         /* nbcode[Tvar[j]][2]=1; */
                   5512:         /* nbcode[Tvar[j]][3]=2; */
                   5513:         /* To be continued (not working yet). */
                   5514:         ij=0; /* ij is similar to i but can jump over null modalities */
1.287     brouard  5515: 
                   5516:         /* 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*/
                   5517:         /* Skipping the case of missing values by reducing nbcode to 0 and 1 and not -1, 0, 1 */
                   5518:         /* model=V1+V2+V3, if V2=-1, 0 or 1, then nbcode[2][1]=0 and nbcode[2][2]=1 instead of
                   5519:          * nbcode[2][1]=-1, nbcode[2][2]=0 and nbcode[2][3]=1 */
                   5520:         /*, could be restored in the future */
                   5521:         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  5522:           if (Ndum[i] == 0) { /* If nobody responded to this modality k */
                   5523:             break;
                   5524:           }
                   5525:           ij++;
1.287     brouard  5526:           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  5527:           cptcode = ij; /* New max modality for covar j */
                   5528:         } /* end of loop on modality i=-1 to 1 or more */
                   5529:         break;
                   5530:        case 1: /* Testing on varying covariate, could be simple and
                   5531:                * should look at waves or product of fixed *
                   5532:                * varying. No time to test -1, assuming 0 and 1 only */
                   5533:         ij=0;
                   5534:         for(i=0; i<=1;i++){
                   5535:           nbcode[Tvar[k]][++ij]=i;
                   5536:         }
                   5537:         break;
                   5538:        default:
                   5539:         break;
                   5540:        } /* end switch */
                   5541:      } /* end dummy test */
1.287     brouard  5542:    } /* 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  5543:   
                   5544:    for (k=-1; k< maxncov; k++) Ndum[k]=0; 
                   5545:    /* Look at fixed dummy (single or product) covariates to check empty modalities */
                   5546:    for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
                   5547:      /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
                   5548:      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 */ 
                   5549:      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 */
                   5550:      /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1,  {2, 1, 1, 1, 2, 1, 1, 0, 0} */
                   5551:    } /* V4+V3+V5, Ndum[1]@5={0, 0, 1, 1, 1} */
                   5552:   
                   5553:    ij=0;
                   5554:    /* for (i=0; i<=  maxncov-1; i++) { /\* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) *\/ */
                   5555:    for (k=1; k<=  cptcovt; k++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
                   5556:      /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
                   5557:      /* if((Ndum[i]!=0) && (i<=ncovcol)){  /\* Tvar[i] <= ncovmodel ? *\/ */
                   5558:      if(Ndum[Tvar[k]]!=0 && Dummy[k] == 0 && Typevar[k]==0){  /* Only Dummy and non empty in the model */
                   5559:        /* If product not in single variable we don't print results */
                   5560:        /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
                   5561:        ++ij;/* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, */
                   5562:        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*/
                   5563:        Tmodelind[ij]=k; /* Tmodelind: index in model of dummies Tmodelind[1]=2 V4: pos=2; V3: pos=3, V1=9 {2, 3, 9, ?, ?,} */
                   5564:        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 */
                   5565:        if(Fixed[k]!=0)
                   5566:         anyvaryingduminmodel=1;
                   5567:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv)){ */
                   5568:        /*   Tvaraff[++ij]=-10; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   5569:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv)){ */
                   5570:        /*   Tvaraff[++ij]=i; /\*For printing (unclear) *\/ */
                   5571:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv+nqtv)){ */
                   5572:        /*   Tvaraff[++ij]=-20; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   5573:      } 
                   5574:    } /* Tvaraff[1]@5 {3, 4, -20, 0, 0} Very strange */
                   5575:    /* ij--; */
                   5576:    /* cptcoveff=ij; /\*Number of total covariates*\/ */
                   5577:    *cptcov=ij; /*Number of total real effective covariates: effective
                   5578:                * because they can be excluded from the model and real
                   5579:                * if in the model but excluded because missing values, but how to get k from ij?*/
                   5580:    for(j=ij+1; j<= cptcovt; j++){
                   5581:      Tvaraff[j]=0;
                   5582:      Tmodelind[j]=0;
                   5583:    }
                   5584:    for(j=ntveff+1; j<= cptcovt; j++){
                   5585:      TmodelInvind[j]=0;
                   5586:    }
                   5587:    /* To be sorted */
                   5588:    ;
                   5589:  }
1.126     brouard  5590: 
1.145     brouard  5591: 
1.126     brouard  5592: /*********** Health Expectancies ****************/
                   5593: 
1.235     brouard  5594:  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  5595: 
                   5596: {
                   5597:   /* Health expectancies, no variances */
1.164     brouard  5598:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  5599:   int nhstepma, nstepma; /* Decreasing with age */
                   5600:   double age, agelim, hf;
                   5601:   double ***p3mat;
                   5602:   double eip;
                   5603: 
1.238     brouard  5604:   /* pstamp(ficreseij); */
1.126     brouard  5605:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   5606:   fprintf(ficreseij,"# Age");
                   5607:   for(i=1; i<=nlstate;i++){
                   5608:     for(j=1; j<=nlstate;j++){
                   5609:       fprintf(ficreseij," e%1d%1d ",i,j);
                   5610:     }
                   5611:     fprintf(ficreseij," e%1d. ",i);
                   5612:   }
                   5613:   fprintf(ficreseij,"\n");
                   5614: 
                   5615:   
                   5616:   if(estepm < stepm){
                   5617:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   5618:   }
                   5619:   else  hstepm=estepm;   
                   5620:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   5621:    * This is mainly to measure the difference between two models: for example
                   5622:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   5623:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   5624:    * progression in between and thus overestimating or underestimating according
                   5625:    * to the curvature of the survival function. If, for the same date, we 
                   5626:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   5627:    * to compare the new estimate of Life expectancy with the same linear 
                   5628:    * hypothesis. A more precise result, taking into account a more precise
                   5629:    * curvature will be obtained if estepm is as small as stepm. */
                   5630: 
                   5631:   /* For example we decided to compute the life expectancy with the smallest unit */
                   5632:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5633:      nhstepm is the number of hstepm from age to agelim 
                   5634:      nstepm is the number of stepm from age to agelin. 
1.270     brouard  5635:      Look at hpijx to understand the reason which relies in memory size consideration
1.126     brouard  5636:      and note for a fixed period like estepm months */
                   5637:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   5638:      survival function given by stepm (the optimization length). Unfortunately it
                   5639:      means that if the survival funtion is printed only each two years of age and if
                   5640:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5641:      results. So we changed our mind and took the option of the best precision.
                   5642:   */
                   5643:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5644: 
                   5645:   agelim=AGESUP;
                   5646:   /* If stepm=6 months */
                   5647:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   5648:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   5649:     
                   5650: /* nhstepm age range expressed in number of stepm */
                   5651:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5652:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5653:   /* if (stepm >= YEARM) hstepm=1;*/
                   5654:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5655:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5656: 
                   5657:   for (age=bage; age<=fage; age ++){ 
                   5658:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5659:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5660:     /* if (stepm >= YEARM) hstepm=1;*/
                   5661:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   5662: 
                   5663:     /* If stepm=6 months */
                   5664:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   5665:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   5666:     
1.235     brouard  5667:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij, nres);  
1.126     brouard  5668:     
                   5669:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   5670:     
                   5671:     printf("%d|",(int)age);fflush(stdout);
                   5672:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   5673:     
                   5674:     /* Computing expectancies */
                   5675:     for(i=1; i<=nlstate;i++)
                   5676:       for(j=1; j<=nlstate;j++)
                   5677:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   5678:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   5679:          
                   5680:          /* 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]);*/
                   5681: 
                   5682:        }
                   5683: 
                   5684:     fprintf(ficreseij,"%3.0f",age );
                   5685:     for(i=1; i<=nlstate;i++){
                   5686:       eip=0;
                   5687:       for(j=1; j<=nlstate;j++){
                   5688:        eip +=eij[i][j][(int)age];
                   5689:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   5690:       }
                   5691:       fprintf(ficreseij,"%9.4f", eip );
                   5692:     }
                   5693:     fprintf(ficreseij,"\n");
                   5694:     
                   5695:   }
                   5696:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5697:   printf("\n");
                   5698:   fprintf(ficlog,"\n");
                   5699:   
                   5700: }
                   5701: 
1.235     brouard  5702:  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  5703: 
                   5704: {
                   5705:   /* Covariances of health expectancies eij and of total life expectancies according
1.222     brouard  5706:      to initial status i, ei. .
1.126     brouard  5707:   */
                   5708:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   5709:   int nhstepma, nstepma; /* Decreasing with age */
                   5710:   double age, agelim, hf;
                   5711:   double ***p3matp, ***p3matm, ***varhe;
                   5712:   double **dnewm,**doldm;
                   5713:   double *xp, *xm;
                   5714:   double **gp, **gm;
                   5715:   double ***gradg, ***trgradg;
                   5716:   int theta;
                   5717: 
                   5718:   double eip, vip;
                   5719: 
                   5720:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   5721:   xp=vector(1,npar);
                   5722:   xm=vector(1,npar);
                   5723:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   5724:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   5725:   
                   5726:   pstamp(ficresstdeij);
                   5727:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   5728:   fprintf(ficresstdeij,"# Age");
                   5729:   for(i=1; i<=nlstate;i++){
                   5730:     for(j=1; j<=nlstate;j++)
                   5731:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   5732:     fprintf(ficresstdeij," e%1d. ",i);
                   5733:   }
                   5734:   fprintf(ficresstdeij,"\n");
                   5735: 
                   5736:   pstamp(ficrescveij);
                   5737:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   5738:   fprintf(ficrescveij,"# Age");
                   5739:   for(i=1; i<=nlstate;i++)
                   5740:     for(j=1; j<=nlstate;j++){
                   5741:       cptj= (j-1)*nlstate+i;
                   5742:       for(i2=1; i2<=nlstate;i2++)
                   5743:        for(j2=1; j2<=nlstate;j2++){
                   5744:          cptj2= (j2-1)*nlstate+i2;
                   5745:          if(cptj2 <= cptj)
                   5746:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   5747:        }
                   5748:     }
                   5749:   fprintf(ficrescveij,"\n");
                   5750:   
                   5751:   if(estepm < stepm){
                   5752:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   5753:   }
                   5754:   else  hstepm=estepm;   
                   5755:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   5756:    * This is mainly to measure the difference between two models: for example
                   5757:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   5758:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   5759:    * progression in between and thus overestimating or underestimating according
                   5760:    * to the curvature of the survival function. If, for the same date, we 
                   5761:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   5762:    * to compare the new estimate of Life expectancy with the same linear 
                   5763:    * hypothesis. A more precise result, taking into account a more precise
                   5764:    * curvature will be obtained if estepm is as small as stepm. */
                   5765: 
                   5766:   /* For example we decided to compute the life expectancy with the smallest unit */
                   5767:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5768:      nhstepm is the number of hstepm from age to agelim 
                   5769:      nstepm is the number of stepm from age to agelin. 
                   5770:      Look at hpijx to understand the reason of that which relies in memory size
                   5771:      and note for a fixed period like estepm months */
                   5772:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   5773:      survival function given by stepm (the optimization length). Unfortunately it
                   5774:      means that if the survival funtion is printed only each two years of age and if
                   5775:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5776:      results. So we changed our mind and took the option of the best precision.
                   5777:   */
                   5778:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5779: 
                   5780:   /* If stepm=6 months */
                   5781:   /* nhstepm age range expressed in number of stepm */
                   5782:   agelim=AGESUP;
                   5783:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   5784:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5785:   /* if (stepm >= YEARM) hstepm=1;*/
                   5786:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5787:   
                   5788:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5789:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5790:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   5791:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   5792:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   5793:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   5794: 
                   5795:   for (age=bage; age<=fage; age ++){ 
                   5796:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5797:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5798:     /* if (stepm >= YEARM) hstepm=1;*/
                   5799:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
1.218     brouard  5800:                
1.126     brouard  5801:     /* If stepm=6 months */
                   5802:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   5803:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   5804:     
                   5805:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
1.218     brouard  5806:                
1.126     brouard  5807:     /* Computing  Variances of health expectancies */
                   5808:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   5809:        decrease memory allocation */
                   5810:     for(theta=1; theta <=npar; theta++){
                   5811:       for(i=1; i<=npar; i++){ 
1.222     brouard  5812:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5813:        xm[i] = x[i] - (i==theta ?delti[theta]:0);
1.126     brouard  5814:       }
1.235     brouard  5815:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij, nres);  
                   5816:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij, nres);  
1.218     brouard  5817:                        
1.126     brouard  5818:       for(j=1; j<= nlstate; j++){
1.222     brouard  5819:        for(i=1; i<=nlstate; i++){
                   5820:          for(h=0; h<=nhstepm-1; h++){
                   5821:            gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
                   5822:            gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
                   5823:          }
                   5824:        }
1.126     brouard  5825:       }
1.218     brouard  5826:                        
1.126     brouard  5827:       for(ij=1; ij<= nlstate*nlstate; ij++)
1.222     brouard  5828:        for(h=0; h<=nhstepm-1; h++){
                   5829:          gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
                   5830:        }
1.126     brouard  5831:     }/* End theta */
                   5832:     
                   5833:     
                   5834:     for(h=0; h<=nhstepm-1; h++)
                   5835:       for(j=1; j<=nlstate*nlstate;j++)
1.222     brouard  5836:        for(theta=1; theta <=npar; theta++)
                   5837:          trgradg[h][j][theta]=gradg[h][theta][j];
1.126     brouard  5838:     
1.218     brouard  5839:                
1.222     brouard  5840:     for(ij=1;ij<=nlstate*nlstate;ij++)
1.126     brouard  5841:       for(ji=1;ji<=nlstate*nlstate;ji++)
1.222     brouard  5842:        varhe[ij][ji][(int)age] =0.;
1.218     brouard  5843:                
1.222     brouard  5844:     printf("%d|",(int)age);fflush(stdout);
                   5845:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   5846:     for(h=0;h<=nhstepm-1;h++){
1.126     brouard  5847:       for(k=0;k<=nhstepm-1;k++){
1.222     brouard  5848:        matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
                   5849:        matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
                   5850:        for(ij=1;ij<=nlstate*nlstate;ij++)
                   5851:          for(ji=1;ji<=nlstate*nlstate;ji++)
                   5852:            varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
1.126     brouard  5853:       }
                   5854:     }
1.218     brouard  5855:                
1.126     brouard  5856:     /* Computing expectancies */
1.235     brouard  5857:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij,nres);  
1.126     brouard  5858:     for(i=1; i<=nlstate;i++)
                   5859:       for(j=1; j<=nlstate;j++)
1.222     brouard  5860:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   5861:          eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
1.218     brouard  5862:                                        
1.222     brouard  5863:          /* 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  5864:                                        
1.222     brouard  5865:        }
1.269     brouard  5866: 
                   5867:     /* Standard deviation of expectancies ij */                
1.126     brouard  5868:     fprintf(ficresstdeij,"%3.0f",age );
                   5869:     for(i=1; i<=nlstate;i++){
                   5870:       eip=0.;
                   5871:       vip=0.;
                   5872:       for(j=1; j<=nlstate;j++){
1.222     brouard  5873:        eip += eij[i][j][(int)age];
                   5874:        for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
                   5875:          vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
                   5876:        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  5877:       }
                   5878:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   5879:     }
                   5880:     fprintf(ficresstdeij,"\n");
1.218     brouard  5881:                
1.269     brouard  5882:     /* Variance of expectancies ij */          
1.126     brouard  5883:     fprintf(ficrescveij,"%3.0f",age );
                   5884:     for(i=1; i<=nlstate;i++)
                   5885:       for(j=1; j<=nlstate;j++){
1.222     brouard  5886:        cptj= (j-1)*nlstate+i;
                   5887:        for(i2=1; i2<=nlstate;i2++)
                   5888:          for(j2=1; j2<=nlstate;j2++){
                   5889:            cptj2= (j2-1)*nlstate+i2;
                   5890:            if(cptj2 <= cptj)
                   5891:              fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
                   5892:          }
1.126     brouard  5893:       }
                   5894:     fprintf(ficrescveij,"\n");
1.218     brouard  5895:                
1.126     brouard  5896:   }
                   5897:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   5898:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   5899:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   5900:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   5901:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5902:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5903:   printf("\n");
                   5904:   fprintf(ficlog,"\n");
1.218     brouard  5905:        
1.126     brouard  5906:   free_vector(xm,1,npar);
                   5907:   free_vector(xp,1,npar);
                   5908:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   5909:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   5910:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   5911: }
1.218     brouard  5912:  
1.126     brouard  5913: /************ Variance ******************/
1.235     brouard  5914:  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  5915:  {
1.279     brouard  5916:    /** Variance of health expectancies 
                   5917:     *  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);
                   5918:     * double **newm;
                   5919:     * int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav) 
                   5920:     */
1.218     brouard  5921:   
                   5922:    /* int movingaverage(); */
                   5923:    double **dnewm,**doldm;
                   5924:    double **dnewmp,**doldmp;
                   5925:    int i, j, nhstepm, hstepm, h, nstepm ;
1.288     brouard  5926:    int first=0;
1.218     brouard  5927:    int k;
                   5928:    double *xp;
1.279     brouard  5929:    double **gp, **gm;  /**< for var eij */
                   5930:    double ***gradg, ***trgradg; /**< for var eij */
                   5931:    double **gradgp, **trgradgp; /**< for var p point j */
                   5932:    double *gpp, *gmp; /**< for var p point j */
                   5933:    double **varppt; /**< for var p point j nlstate to nlstate+ndeath */
1.218     brouard  5934:    double ***p3mat;
                   5935:    double age,agelim, hf;
                   5936:    /* double ***mobaverage; */
                   5937:    int theta;
                   5938:    char digit[4];
                   5939:    char digitp[25];
                   5940: 
                   5941:    char fileresprobmorprev[FILENAMELENGTH];
                   5942: 
                   5943:    if(popbased==1){
                   5944:      if(mobilav!=0)
                   5945:        strcpy(digitp,"-POPULBASED-MOBILAV_");
                   5946:      else strcpy(digitp,"-POPULBASED-NOMOBIL_");
                   5947:    }
                   5948:    else 
                   5949:      strcpy(digitp,"-STABLBASED_");
1.126     brouard  5950: 
1.218     brouard  5951:    /* if (mobilav!=0) { */
                   5952:    /*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   5953:    /*   if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){ */
                   5954:    /*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */
                   5955:    /*     printf(" Error in movingaverage mobilav=%d\n",mobilav); */
                   5956:    /*   } */
                   5957:    /* } */
                   5958: 
                   5959:    strcpy(fileresprobmorprev,"PRMORPREV-"); 
                   5960:    sprintf(digit,"%-d",ij);
                   5961:    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
                   5962:    strcat(fileresprobmorprev,digit); /* Tvar to be done */
                   5963:    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
                   5964:    strcat(fileresprobmorprev,fileresu);
                   5965:    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
                   5966:      printf("Problem with resultfile: %s\n", fileresprobmorprev);
                   5967:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
                   5968:    }
                   5969:    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5970:    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5971:    pstamp(ficresprobmorprev);
                   5972:    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  5973:    fprintf(ficresprobmorprev,"# Selected quantitative variables and dummies");
                   5974:    for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   5975:      fprintf(ficresprobmorprev," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   5976:    }
                   5977:    for(j=1;j<=cptcoveff;j++) 
                   5978:      fprintf(ficresprobmorprev,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(ij,j)]);
                   5979:    fprintf(ficresprobmorprev,"\n");
                   5980: 
1.218     brouard  5981:    fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
                   5982:    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   5983:      fprintf(ficresprobmorprev," p.%-d SE",j);
                   5984:      for(i=1; i<=nlstate;i++)
                   5985:        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
                   5986:    }  
                   5987:    fprintf(ficresprobmorprev,"\n");
                   5988:   
                   5989:    fprintf(ficgp,"\n# Routine varevsij");
                   5990:    fprintf(ficgp,"\nunset title \n");
                   5991:    /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
                   5992:    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");
                   5993:    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
1.279     brouard  5994: 
1.218     brouard  5995:    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5996:    pstamp(ficresvij);
                   5997:    fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
                   5998:    if(popbased==1)
                   5999:      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);
                   6000:    else
                   6001:      fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
                   6002:    fprintf(ficresvij,"# Age");
                   6003:    for(i=1; i<=nlstate;i++)
                   6004:      for(j=1; j<=nlstate;j++)
                   6005:        fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
                   6006:    fprintf(ficresvij,"\n");
                   6007: 
                   6008:    xp=vector(1,npar);
                   6009:    dnewm=matrix(1,nlstate,1,npar);
                   6010:    doldm=matrix(1,nlstate,1,nlstate);
                   6011:    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
                   6012:    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6013: 
                   6014:    gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
                   6015:    gpp=vector(nlstate+1,nlstate+ndeath);
                   6016:    gmp=vector(nlstate+1,nlstate+ndeath);
                   6017:    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.126     brouard  6018:   
1.218     brouard  6019:    if(estepm < stepm){
                   6020:      printf ("Problem %d lower than %d\n",estepm, stepm);
                   6021:    }
                   6022:    else  hstepm=estepm;   
                   6023:    /* For example we decided to compute the life expectancy with the smallest unit */
                   6024:    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   6025:       nhstepm is the number of hstepm from age to agelim 
                   6026:       nstepm is the number of stepm from age to agelim. 
                   6027:       Look at function hpijx to understand why because of memory size limitations, 
                   6028:       we decided (b) to get a life expectancy respecting the most precise curvature of the
                   6029:       survival function given by stepm (the optimization length). Unfortunately it
                   6030:       means that if the survival funtion is printed every two years of age and if
                   6031:       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   6032:       results. So we changed our mind and took the option of the best precision.
                   6033:    */
                   6034:    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   6035:    agelim = AGESUP;
                   6036:    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   6037:      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6038:      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   6039:      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6040:      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
                   6041:      gp=matrix(0,nhstepm,1,nlstate);
                   6042:      gm=matrix(0,nhstepm,1,nlstate);
                   6043:                
                   6044:                
                   6045:      for(theta=1; theta <=npar; theta++){
                   6046:        for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
                   6047:         xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6048:        }
1.279     brouard  6049:        /**< Computes the prevalence limit with parameter theta shifted of delta up to ftolpl precision and 
                   6050:        * returns into prlim .
1.288     brouard  6051:        */
1.242     brouard  6052:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij, nres);
1.279     brouard  6053: 
                   6054:        /* If popbased = 1 we use crossection prevalences. Previous step is useless but prlim is created */
1.218     brouard  6055:        if (popbased==1) {
                   6056:         if(mobilav ==0){
                   6057:           for(i=1; i<=nlstate;i++)
                   6058:             prlim[i][i]=probs[(int)age][i][ij];
                   6059:         }else{ /* mobilav */ 
                   6060:           for(i=1; i<=nlstate;i++)
                   6061:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   6062:         }
                   6063:        }
1.295     brouard  6064:        /**< Computes the shifted transition matrix \f$ {}{h}_p^{ij}x\f$ at horizon h.
1.279     brouard  6065:        */                      
                   6066:        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  6067:        /**< 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  6068:        * at horizon h in state j including mortality.
                   6069:        */
1.218     brouard  6070:        for(j=1; j<= nlstate; j++){
                   6071:         for(h=0; h<=nhstepm; h++){
                   6072:           for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                   6073:             gp[h][j] += prlim[i][i]*p3mat[i][j][h];
                   6074:         }
                   6075:        }
1.279     brouard  6076:        /* Next for computing shifted+ probability of death (h=1 means
1.218     brouard  6077:          computed over hstepm matrices product = hstepm*stepm months) 
1.279     brouard  6078:          as a weighted average of prlim(i) * p(i,j) p.3=w1*p13 + w2*p23 .
1.218     brouard  6079:        */
                   6080:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6081:         for(i=1,gpp[j]=0.; i<= nlstate; i++)
                   6082:           gpp[j] += prlim[i][i]*p3mat[i][j][1];
1.279     brouard  6083:        }
                   6084:        
                   6085:        /* Again with minus shift */
1.218     brouard  6086:                        
                   6087:        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
                   6088:         xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.288     brouard  6089: 
1.242     brouard  6090:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp, ij, nres);
1.218     brouard  6091:                        
                   6092:        if (popbased==1) {
                   6093:         if(mobilav ==0){
                   6094:           for(i=1; i<=nlstate;i++)
                   6095:             prlim[i][i]=probs[(int)age][i][ij];
                   6096:         }else{ /* mobilav */ 
                   6097:           for(i=1; i<=nlstate;i++)
                   6098:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   6099:         }
                   6100:        }
                   6101:                        
1.235     brouard  6102:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij,nres);  
1.218     brouard  6103:                        
                   6104:        for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
                   6105:         for(h=0; h<=nhstepm; h++){
                   6106:           for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                   6107:             gm[h][j] += prlim[i][i]*p3mat[i][j][h];
                   6108:         }
                   6109:        }
                   6110:        /* This for computing probability of death (h=1 means
                   6111:          computed over hstepm matrices product = hstepm*stepm months) 
                   6112:          as a weighted average of prlim.
                   6113:        */
                   6114:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6115:         for(i=1,gmp[j]=0.; i<= nlstate; i++)
                   6116:           gmp[j] += prlim[i][i]*p3mat[i][j][1];
                   6117:        }    
1.279     brouard  6118:        /* end shifting computations */
                   6119: 
                   6120:        /**< Computing gradient matrix at horizon h 
                   6121:        */
1.218     brouard  6122:        for(j=1; j<= nlstate; j++) /* vareij */
                   6123:         for(h=0; h<=nhstepm; h++){
                   6124:           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
                   6125:         }
1.279     brouard  6126:        /**< Gradient of overall mortality p.3 (or p.j) 
                   6127:        */
                   6128:        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu mortality from j */
1.218     brouard  6129:         gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
                   6130:        }
                   6131:                        
                   6132:      } /* End theta */
1.279     brouard  6133:      
                   6134:      /* We got the gradient matrix for each theta and state j */               
1.218     brouard  6135:      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
                   6136:                
                   6137:      for(h=0; h<=nhstepm; h++) /* veij */
                   6138:        for(j=1; j<=nlstate;j++)
                   6139:         for(theta=1; theta <=npar; theta++)
                   6140:           trgradg[h][j][theta]=gradg[h][theta][j];
                   6141:                
                   6142:      for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                   6143:        for(theta=1; theta <=npar; theta++)
                   6144:         trgradgp[j][theta]=gradgp[theta][j];
1.279     brouard  6145:      /**< as well as its transposed matrix 
                   6146:       */               
1.218     brouard  6147:                
                   6148:      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   6149:      for(i=1;i<=nlstate;i++)
                   6150:        for(j=1;j<=nlstate;j++)
                   6151:         vareij[i][j][(int)age] =0.;
1.279     brouard  6152: 
                   6153:      /* Computing trgradg by matcov by gradg at age and summing over h
                   6154:       * and k (nhstepm) formula 15 of article
                   6155:       * Lievre-Brouard-Heathcote
                   6156:       */
                   6157:      
1.218     brouard  6158:      for(h=0;h<=nhstepm;h++){
                   6159:        for(k=0;k<=nhstepm;k++){
                   6160:         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
                   6161:         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
                   6162:         for(i=1;i<=nlstate;i++)
                   6163:           for(j=1;j<=nlstate;j++)
                   6164:             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
                   6165:        }
                   6166:      }
                   6167:                
1.279     brouard  6168:      /* pptj is p.3 or p.j = trgradgp by cov by gradgp, variance of
                   6169:       * p.j overall mortality formula 49 but computed directly because
                   6170:       * we compute the grad (wix pijx) instead of grad (pijx),even if
                   6171:       * wix is independent of theta.
                   6172:       */
1.218     brouard  6173:      matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
                   6174:      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
                   6175:      for(j=nlstate+1;j<=nlstate+ndeath;j++)
                   6176:        for(i=nlstate+1;i<=nlstate+ndeath;i++)
                   6177:         varppt[j][i]=doldmp[j][i];
                   6178:      /* end ppptj */
                   6179:      /*  x centered again */
                   6180:                
1.242     brouard  6181:      prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyearp,ij, nres);
1.218     brouard  6182:                
                   6183:      if (popbased==1) {
                   6184:        if(mobilav ==0){
                   6185:         for(i=1; i<=nlstate;i++)
                   6186:           prlim[i][i]=probs[(int)age][i][ij];
                   6187:        }else{ /* mobilav */ 
                   6188:         for(i=1; i<=nlstate;i++)
                   6189:           prlim[i][i]=mobaverage[(int)age][i][ij];
                   6190:        }
                   6191:      }
                   6192:                
                   6193:      /* This for computing probability of death (h=1 means
                   6194:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
                   6195:        as a weighted average of prlim.
                   6196:      */
1.235     brouard  6197:      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij, nres);  
1.218     brouard  6198:      for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6199:        for(i=1,gmp[j]=0.;i<= nlstate; i++) 
                   6200:         gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
                   6201:      }    
                   6202:      /* end probability of death */
                   6203:                
                   6204:      fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
                   6205:      for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   6206:        fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
                   6207:        for(i=1; i<=nlstate;i++){
                   6208:         fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
                   6209:        }
                   6210:      } 
                   6211:      fprintf(ficresprobmorprev,"\n");
                   6212:                
                   6213:      fprintf(ficresvij,"%.0f ",age );
                   6214:      for(i=1; i<=nlstate;i++)
                   6215:        for(j=1; j<=nlstate;j++){
                   6216:         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
                   6217:        }
                   6218:      fprintf(ficresvij,"\n");
                   6219:      free_matrix(gp,0,nhstepm,1,nlstate);
                   6220:      free_matrix(gm,0,nhstepm,1,nlstate);
                   6221:      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
                   6222:      free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
                   6223:      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6224:    } /* End age */
                   6225:    free_vector(gpp,nlstate+1,nlstate+ndeath);
                   6226:    free_vector(gmp,nlstate+1,nlstate+ndeath);
                   6227:    free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
                   6228:    free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
                   6229:    /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
                   6230:    fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
                   6231:    /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
                   6232:    fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
                   6233:    fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
                   6234:    /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
                   6235:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   6236:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   6237:    fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
                   6238:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
                   6239:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
                   6240:    fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
                   6241:    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);
                   6242:    /*  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  6243:     */
1.218     brouard  6244:    /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
                   6245:    fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  6246: 
1.218     brouard  6247:    free_vector(xp,1,npar);
                   6248:    free_matrix(doldm,1,nlstate,1,nlstate);
                   6249:    free_matrix(dnewm,1,nlstate,1,npar);
                   6250:    free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6251:    free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
                   6252:    free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6253:    /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   6254:    fclose(ficresprobmorprev);
                   6255:    fflush(ficgp);
                   6256:    fflush(fichtm); 
                   6257:  }  /* end varevsij */
1.126     brouard  6258: 
                   6259: /************ Variance of prevlim ******************/
1.269     brouard  6260:  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  6261: {
1.205     brouard  6262:   /* Variance of prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
1.126     brouard  6263:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  6264: 
1.268     brouard  6265:   double **dnewmpar,**doldm;
1.126     brouard  6266:   int i, j, nhstepm, hstepm;
                   6267:   double *xp;
                   6268:   double *gp, *gm;
                   6269:   double **gradg, **trgradg;
1.208     brouard  6270:   double **mgm, **mgp;
1.126     brouard  6271:   double age,agelim;
                   6272:   int theta;
                   6273:   
                   6274:   pstamp(ficresvpl);
1.288     brouard  6275:   fprintf(ficresvpl,"# Standard deviation of period (forward stable) prevalences \n");
1.241     brouard  6276:   fprintf(ficresvpl,"# Age ");
                   6277:   if(nresult >=1)
                   6278:     fprintf(ficresvpl," Result# ");
1.126     brouard  6279:   for(i=1; i<=nlstate;i++)
                   6280:       fprintf(ficresvpl," %1d-%1d",i,i);
                   6281:   fprintf(ficresvpl,"\n");
                   6282: 
                   6283:   xp=vector(1,npar);
1.268     brouard  6284:   dnewmpar=matrix(1,nlstate,1,npar);
1.126     brouard  6285:   doldm=matrix(1,nlstate,1,nlstate);
                   6286:   
                   6287:   hstepm=1*YEARM; /* Every year of age */
                   6288:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   6289:   agelim = AGESUP;
                   6290:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   6291:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6292:     if (stepm >= YEARM) hstepm=1;
                   6293:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6294:     gradg=matrix(1,npar,1,nlstate);
1.208     brouard  6295:     mgp=matrix(1,npar,1,nlstate);
                   6296:     mgm=matrix(1,npar,1,nlstate);
1.126     brouard  6297:     gp=vector(1,nlstate);
                   6298:     gm=vector(1,nlstate);
                   6299: 
                   6300:     for(theta=1; theta <=npar; theta++){
                   6301:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   6302:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6303:       }
1.288     brouard  6304:       /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */
                   6305:       /*       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */
                   6306:       /* else */
                   6307:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
1.208     brouard  6308:       for(i=1;i<=nlstate;i++){
1.126     brouard  6309:        gp[i] = prlim[i][i];
1.208     brouard  6310:        mgp[theta][i] = prlim[i][i];
                   6311:       }
1.126     brouard  6312:       for(i=1; i<=npar; i++) /* Computes gradient */
                   6313:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.288     brouard  6314:       /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */
                   6315:       /*       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */
                   6316:       /* else */
                   6317:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
1.208     brouard  6318:       for(i=1;i<=nlstate;i++){
1.126     brouard  6319:        gm[i] = prlim[i][i];
1.208     brouard  6320:        mgm[theta][i] = prlim[i][i];
                   6321:       }
1.126     brouard  6322:       for(i=1;i<=nlstate;i++)
                   6323:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
1.209     brouard  6324:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
1.126     brouard  6325:     } /* End theta */
                   6326: 
                   6327:     trgradg =matrix(1,nlstate,1,npar);
                   6328: 
                   6329:     for(j=1; j<=nlstate;j++)
                   6330:       for(theta=1; theta <=npar; theta++)
                   6331:        trgradg[j][theta]=gradg[theta][j];
1.209     brouard  6332:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6333:     /*   printf("\nmgm mgp %d ",(int)age); */
                   6334:     /*   for(j=1; j<=nlstate;j++){ */
                   6335:     /*         printf(" %d ",j); */
                   6336:     /*         for(theta=1; theta <=npar; theta++) */
                   6337:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   6338:     /*         printf("\n "); */
                   6339:     /*   } */
                   6340:     /* } */
                   6341:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6342:     /*   printf("\n gradg %d ",(int)age); */
                   6343:     /*   for(j=1; j<=nlstate;j++){ */
                   6344:     /*         printf("%d ",j); */
                   6345:     /*         for(theta=1; theta <=npar; theta++) */
                   6346:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   6347:     /*         printf("\n "); */
                   6348:     /*   } */
                   6349:     /* } */
1.126     brouard  6350: 
                   6351:     for(i=1;i<=nlstate;i++)
                   6352:       varpl[i][(int)age] =0.;
1.209     brouard  6353:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
1.268     brouard  6354:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6355:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  6356:     }else{
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:     }
1.126     brouard  6360:     for(i=1;i<=nlstate;i++)
                   6361:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   6362: 
                   6363:     fprintf(ficresvpl,"%.0f ",age );
1.241     brouard  6364:     if(nresult >=1)
                   6365:       fprintf(ficresvpl,"%d ",nres );
1.288     brouard  6366:     for(i=1; i<=nlstate;i++){
1.126     brouard  6367:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
1.288     brouard  6368:       /* for(j=1;j<=nlstate;j++) */
                   6369:       /*       fprintf(ficresvpl," %d %.5f ",j,prlim[j][i]); */
                   6370:     }
1.126     brouard  6371:     fprintf(ficresvpl,"\n");
                   6372:     free_vector(gp,1,nlstate);
                   6373:     free_vector(gm,1,nlstate);
1.208     brouard  6374:     free_matrix(mgm,1,npar,1,nlstate);
                   6375:     free_matrix(mgp,1,npar,1,nlstate);
1.126     brouard  6376:     free_matrix(gradg,1,npar,1,nlstate);
                   6377:     free_matrix(trgradg,1,nlstate,1,npar);
                   6378:   } /* End age */
                   6379: 
                   6380:   free_vector(xp,1,npar);
                   6381:   free_matrix(doldm,1,nlstate,1,npar);
1.268     brouard  6382:   free_matrix(dnewmpar,1,nlstate,1,nlstate);
                   6383: 
                   6384: }
                   6385: 
                   6386: 
                   6387: /************ Variance of backprevalence limit ******************/
1.269     brouard  6388:  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  6389: {
                   6390:   /* Variance of backward prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
                   6391:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
                   6392: 
                   6393:   double **dnewmpar,**doldm;
                   6394:   int i, j, nhstepm, hstepm;
                   6395:   double *xp;
                   6396:   double *gp, *gm;
                   6397:   double **gradg, **trgradg;
                   6398:   double **mgm, **mgp;
                   6399:   double age,agelim;
                   6400:   int theta;
                   6401:   
                   6402:   pstamp(ficresvbl);
                   6403:   fprintf(ficresvbl,"# Standard deviation of back (stable) prevalences \n");
                   6404:   fprintf(ficresvbl,"# Age ");
                   6405:   if(nresult >=1)
                   6406:     fprintf(ficresvbl," Result# ");
                   6407:   for(i=1; i<=nlstate;i++)
                   6408:       fprintf(ficresvbl," %1d-%1d",i,i);
                   6409:   fprintf(ficresvbl,"\n");
                   6410: 
                   6411:   xp=vector(1,npar);
                   6412:   dnewmpar=matrix(1,nlstate,1,npar);
                   6413:   doldm=matrix(1,nlstate,1,nlstate);
                   6414:   
                   6415:   hstepm=1*YEARM; /* Every year of age */
                   6416:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   6417:   agelim = AGEINF;
                   6418:   for (age=fage; age>=bage; age --){ /* If stepm=6 months */
                   6419:     nhstepm=(int) rint((age-agelim)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6420:     if (stepm >= YEARM) hstepm=1;
                   6421:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6422:     gradg=matrix(1,npar,1,nlstate);
                   6423:     mgp=matrix(1,npar,1,nlstate);
                   6424:     mgm=matrix(1,npar,1,nlstate);
                   6425:     gp=vector(1,nlstate);
                   6426:     gm=vector(1,nlstate);
                   6427: 
                   6428:     for(theta=1; theta <=npar; theta++){
                   6429:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   6430:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6431:       }
                   6432:       if(mobilavproj > 0 )
                   6433:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6434:       else
                   6435:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6436:       for(i=1;i<=nlstate;i++){
                   6437:        gp[i] = bprlim[i][i];
                   6438:        mgp[theta][i] = bprlim[i][i];
                   6439:       }
                   6440:      for(i=1; i<=npar; i++) /* Computes gradient */
                   6441:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   6442:        if(mobilavproj > 0 )
                   6443:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6444:        else
                   6445:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6446:       for(i=1;i<=nlstate;i++){
                   6447:        gm[i] = bprlim[i][i];
                   6448:        mgm[theta][i] = bprlim[i][i];
                   6449:       }
                   6450:       for(i=1;i<=nlstate;i++)
                   6451:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
                   6452:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
                   6453:     } /* End theta */
                   6454: 
                   6455:     trgradg =matrix(1,nlstate,1,npar);
                   6456: 
                   6457:     for(j=1; j<=nlstate;j++)
                   6458:       for(theta=1; theta <=npar; theta++)
                   6459:        trgradg[j][theta]=gradg[theta][j];
                   6460:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6461:     /*   printf("\nmgm mgp %d ",(int)age); */
                   6462:     /*   for(j=1; j<=nlstate;j++){ */
                   6463:     /*         printf(" %d ",j); */
                   6464:     /*         for(theta=1; theta <=npar; theta++) */
                   6465:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   6466:     /*         printf("\n "); */
                   6467:     /*   } */
                   6468:     /* } */
                   6469:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6470:     /*   printf("\n gradg %d ",(int)age); */
                   6471:     /*   for(j=1; j<=nlstate;j++){ */
                   6472:     /*         printf("%d ",j); */
                   6473:     /*         for(theta=1; theta <=npar; theta++) */
                   6474:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   6475:     /*         printf("\n "); */
                   6476:     /*   } */
                   6477:     /* } */
                   6478: 
                   6479:     for(i=1;i<=nlstate;i++)
                   6480:       varbpl[i][(int)age] =0.;
                   6481:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
                   6482:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6483:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
                   6484:     }else{
                   6485:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6486:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
                   6487:     }
                   6488:     for(i=1;i<=nlstate;i++)
                   6489:       varbpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   6490: 
                   6491:     fprintf(ficresvbl,"%.0f ",age );
                   6492:     if(nresult >=1)
                   6493:       fprintf(ficresvbl,"%d ",nres );
                   6494:     for(i=1; i<=nlstate;i++)
                   6495:       fprintf(ficresvbl," %.5f (%.5f)",bprlim[i][i],sqrt(varbpl[i][(int)age]));
                   6496:     fprintf(ficresvbl,"\n");
                   6497:     free_vector(gp,1,nlstate);
                   6498:     free_vector(gm,1,nlstate);
                   6499:     free_matrix(mgm,1,npar,1,nlstate);
                   6500:     free_matrix(mgp,1,npar,1,nlstate);
                   6501:     free_matrix(gradg,1,npar,1,nlstate);
                   6502:     free_matrix(trgradg,1,nlstate,1,npar);
                   6503:   } /* End age */
                   6504: 
                   6505:   free_vector(xp,1,npar);
                   6506:   free_matrix(doldm,1,nlstate,1,npar);
                   6507:   free_matrix(dnewmpar,1,nlstate,1,nlstate);
1.126     brouard  6508: 
                   6509: }
                   6510: 
                   6511: /************ Variance of one-step probabilities  ******************/
                   6512: 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  6513:  {
                   6514:    int i, j=0,  k1, l1, tj;
                   6515:    int k2, l2, j1,  z1;
                   6516:    int k=0, l;
                   6517:    int first=1, first1, first2;
                   6518:    double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   6519:    double **dnewm,**doldm;
                   6520:    double *xp;
                   6521:    double *gp, *gm;
                   6522:    double **gradg, **trgradg;
                   6523:    double **mu;
                   6524:    double age, cov[NCOVMAX+1];
                   6525:    double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   6526:    int theta;
                   6527:    char fileresprob[FILENAMELENGTH];
                   6528:    char fileresprobcov[FILENAMELENGTH];
                   6529:    char fileresprobcor[FILENAMELENGTH];
                   6530:    double ***varpij;
                   6531: 
                   6532:    strcpy(fileresprob,"PROB_"); 
                   6533:    strcat(fileresprob,fileres);
                   6534:    if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   6535:      printf("Problem with resultfile: %s\n", fileresprob);
                   6536:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   6537:    }
                   6538:    strcpy(fileresprobcov,"PROBCOV_"); 
                   6539:    strcat(fileresprobcov,fileresu);
                   6540:    if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   6541:      printf("Problem with resultfile: %s\n", fileresprobcov);
                   6542:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   6543:    }
                   6544:    strcpy(fileresprobcor,"PROBCOR_"); 
                   6545:    strcat(fileresprobcor,fileresu);
                   6546:    if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   6547:      printf("Problem with resultfile: %s\n", fileresprobcor);
                   6548:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   6549:    }
                   6550:    printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   6551:    fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   6552:    printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   6553:    fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   6554:    printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   6555:    fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   6556:    pstamp(ficresprob);
                   6557:    fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   6558:    fprintf(ficresprob,"# Age");
                   6559:    pstamp(ficresprobcov);
                   6560:    fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   6561:    fprintf(ficresprobcov,"# Age");
                   6562:    pstamp(ficresprobcor);
                   6563:    fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   6564:    fprintf(ficresprobcor,"# Age");
1.126     brouard  6565: 
                   6566: 
1.222     brouard  6567:    for(i=1; i<=nlstate;i++)
                   6568:      for(j=1; j<=(nlstate+ndeath);j++){
                   6569:        fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   6570:        fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   6571:        fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   6572:      }  
                   6573:    /* fprintf(ficresprob,"\n");
                   6574:       fprintf(ficresprobcov,"\n");
                   6575:       fprintf(ficresprobcor,"\n");
                   6576:    */
                   6577:    xp=vector(1,npar);
                   6578:    dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   6579:    doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   6580:    mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   6581:    varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   6582:    first=1;
                   6583:    fprintf(ficgp,"\n# Routine varprob");
                   6584:    fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   6585:    fprintf(fichtm,"\n");
                   6586: 
1.288     brouard  6587:    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  6588:    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);
                   6589:    fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
1.126     brouard  6590: and drawn. It helps understanding how is the covariance between two incidences.\
                   6591:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
1.222     brouard  6592:    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  6593: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   6594: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   6595: standard deviations wide on each axis. <br>\
                   6596:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   6597:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   6598: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   6599: 
1.222     brouard  6600:    cov[1]=1;
                   6601:    /* tj=cptcoveff; */
1.225     brouard  6602:    tj = (int) pow(2,cptcoveff);
1.222     brouard  6603:    if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   6604:    j1=0;
1.224     brouard  6605:    for(j1=1; j1<=tj;j1++){  /* For each valid combination of covariates or only once*/
1.222     brouard  6606:      if  (cptcovn>0) {
                   6607:        fprintf(ficresprob, "\n#********** Variable "); 
1.225     brouard  6608:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6609:        fprintf(ficresprob, "**********\n#\n");
                   6610:        fprintf(ficresprobcov, "\n#********** Variable "); 
1.225     brouard  6611:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6612:        fprintf(ficresprobcov, "**********\n#\n");
1.220     brouard  6613:                        
1.222     brouard  6614:        fprintf(ficgp, "\n#********** Variable "); 
1.225     brouard  6615:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6616:        fprintf(ficgp, "**********\n#\n");
1.220     brouard  6617:                        
                   6618:                        
1.222     brouard  6619:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
1.225     brouard  6620:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6621:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  6622:                        
1.222     brouard  6623:        fprintf(ficresprobcor, "\n#********** Variable ");    
1.225     brouard  6624:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6625:        fprintf(ficresprobcor, "**********\n#");    
                   6626:        if(invalidvarcomb[j1]){
                   6627:         fprintf(ficgp,"\n#Combination (%d) ignored because no cases \n",j1); 
                   6628:         fprintf(fichtmcov,"\n<h3>Combination (%d) ignored because no cases </h3>\n",j1); 
                   6629:         continue;
                   6630:        }
                   6631:      }
                   6632:      gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   6633:      trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   6634:      gp=vector(1,(nlstate)*(nlstate+ndeath));
                   6635:      gm=vector(1,(nlstate)*(nlstate+ndeath));
                   6636:      for (age=bage; age<=fage; age ++){ 
                   6637:        cov[2]=age;
                   6638:        if(nagesqr==1)
                   6639:         cov[3]= age*age;
                   6640:        for (k=1; k<=cptcovn;k++) {
                   6641:         cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
                   6642:         /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
                   6643:                                                                    * 1  1 1 1 1
                   6644:                                                                    * 2  2 1 1 1
                   6645:                                                                    * 3  1 2 1 1
                   6646:                                                                    */
                   6647:         /* nbcode[1][1]=0 nbcode[1][2]=1;*/
                   6648:        }
                   6649:        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   6650:        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   6651:        for (k=1; k<=cptcovprod;k++)
                   6652:         cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.220     brouard  6653:                        
                   6654:                        
1.222     brouard  6655:        for(theta=1; theta <=npar; theta++){
                   6656:         for(i=1; i<=npar; i++)
                   6657:           xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
1.220     brouard  6658:                                
1.222     brouard  6659:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
1.220     brouard  6660:                                
1.222     brouard  6661:         k=0;
                   6662:         for(i=1; i<= (nlstate); i++){
                   6663:           for(j=1; j<=(nlstate+ndeath);j++){
                   6664:             k=k+1;
                   6665:             gp[k]=pmmij[i][j];
                   6666:           }
                   6667:         }
1.220     brouard  6668:                                
1.222     brouard  6669:         for(i=1; i<=npar; i++)
                   6670:           xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
1.220     brouard  6671:                                
1.222     brouard  6672:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   6673:         k=0;
                   6674:         for(i=1; i<=(nlstate); i++){
                   6675:           for(j=1; j<=(nlstate+ndeath);j++){
                   6676:             k=k+1;
                   6677:             gm[k]=pmmij[i][j];
                   6678:           }
                   6679:         }
1.220     brouard  6680:                                
1.222     brouard  6681:         for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   6682:           gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   6683:        }
1.126     brouard  6684: 
1.222     brouard  6685:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   6686:         for(theta=1; theta <=npar; theta++)
                   6687:           trgradg[j][theta]=gradg[theta][j];
1.220     brouard  6688:                        
1.222     brouard  6689:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   6690:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
1.220     brouard  6691:                        
1.222     brouard  6692:        pmij(pmmij,cov,ncovmodel,x,nlstate);
1.220     brouard  6693:                        
1.222     brouard  6694:        k=0;
                   6695:        for(i=1; i<=(nlstate); i++){
                   6696:         for(j=1; j<=(nlstate+ndeath);j++){
                   6697:           k=k+1;
                   6698:           mu[k][(int) age]=pmmij[i][j];
                   6699:         }
                   6700:        }
                   6701:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   6702:         for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   6703:           varpij[i][j][(int)age] = doldm[i][j];
1.220     brouard  6704:                        
1.222     brouard  6705:        /*printf("\n%d ",(int)age);
                   6706:         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   6707:         printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   6708:         fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   6709:         }*/
1.220     brouard  6710:                        
1.222     brouard  6711:        fprintf(ficresprob,"\n%d ",(int)age);
                   6712:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   6713:        fprintf(ficresprobcor,"\n%d ",(int)age);
1.220     brouard  6714:                        
1.222     brouard  6715:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   6716:         fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   6717:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   6718:         fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   6719:         fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   6720:        }
                   6721:        i=0;
                   6722:        for (k=1; k<=(nlstate);k++){
                   6723:         for (l=1; l<=(nlstate+ndeath);l++){ 
                   6724:           i++;
                   6725:           fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   6726:           fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   6727:           for (j=1; j<=i;j++){
                   6728:             /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
                   6729:             fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   6730:             fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   6731:           }
                   6732:         }
                   6733:        }/* end of loop for state */
                   6734:      } /* end of loop for age */
                   6735:      free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   6736:      free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   6737:      free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   6738:      free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   6739:     
                   6740:      /* Confidence intervalle of pij  */
                   6741:      /*
                   6742:        fprintf(ficgp,"\nunset parametric;unset label");
                   6743:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   6744:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   6745:        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);
                   6746:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   6747:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   6748:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   6749:      */
                   6750:                
                   6751:      /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
                   6752:      first1=1;first2=2;
                   6753:      for (k2=1; k2<=(nlstate);k2++){
                   6754:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   6755:         if(l2==k2) continue;
                   6756:         j=(k2-1)*(nlstate+ndeath)+l2;
                   6757:         for (k1=1; k1<=(nlstate);k1++){
                   6758:           for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   6759:             if(l1==k1) continue;
                   6760:             i=(k1-1)*(nlstate+ndeath)+l1;
                   6761:             if(i<=j) continue;
                   6762:             for (age=bage; age<=fage; age ++){ 
                   6763:               if ((int)age %5==0){
                   6764:                 v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   6765:                 v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   6766:                 cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   6767:                 mu1=mu[i][(int) age]/stepm*YEARM ;
                   6768:                 mu2=mu[j][(int) age]/stepm*YEARM;
                   6769:                 c12=cv12/sqrt(v1*v2);
                   6770:                 /* Computing eigen value of matrix of covariance */
                   6771:                 lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   6772:                 lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   6773:                 if ((lc2 <0) || (lc1 <0) ){
                   6774:                   if(first2==1){
                   6775:                     first1=0;
                   6776:                     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);
                   6777:                   }
                   6778:                   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);
                   6779:                   /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   6780:                   /* lc2=fabs(lc2); */
                   6781:                 }
1.220     brouard  6782:                                                                
1.222     brouard  6783:                 /* Eigen vectors */
1.280     brouard  6784:                 if(1+(v1-lc1)*(v1-lc1)/cv12/cv12 <1.e-5){
                   6785:                   printf(" Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12);
                   6786:                   fprintf(ficlog," Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12);
                   6787:                   v11=(1./sqrt(fabs(1+(v1-lc1)*(v1-lc1)/cv12/cv12)));
                   6788:                 }else
                   6789:                   v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
1.222     brouard  6790:                 /*v21=sqrt(1.-v11*v11); *//* error */
                   6791:                 v21=(lc1-v1)/cv12*v11;
                   6792:                 v12=-v21;
                   6793:                 v22=v11;
                   6794:                 tnalp=v21/v11;
                   6795:                 if(first1==1){
                   6796:                   first1=0;
                   6797:                   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);
                   6798:                 }
                   6799:                 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);
                   6800:                 /*printf(fignu*/
                   6801:                 /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   6802:                 /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   6803:                 if(first==1){
                   6804:                   first=0;
                   6805:                   fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
                   6806:                   fprintf(ficgp,"\nset parametric;unset label");
                   6807:                   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);
                   6808:                   fprintf(ficgp,"\nset ter svg size 640, 480");
1.266     brouard  6809:                   fprintf(fichtmcov,"\n<p><br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
1.220     brouard  6810:  :<a href=\"%s_%d%1d%1d-%1d%1d.svg\">                                                                                                                                          \
1.201     brouard  6811: %s_%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
1.222     brouard  6812:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2,      \
                   6813:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6814:                   fprintf(fichtmcov,"\n<br><img src=\"%s_%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6815:                   fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                   6816:                   fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6817:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   6818:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   6819:                   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  6820:                           mu1,std,v11,sqrt(fabs(lc1)),v12,sqrt(fabs(lc2)), \
                   6821:                           mu2,std,v21,sqrt(fabs(lc1)),v22,sqrt(fabs(lc2))); /* For gnuplot only */
1.222     brouard  6822:                 }else{
                   6823:                   first=0;
                   6824:                   fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   6825:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   6826:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   6827:                   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  6828:                           mu1,std,v11,sqrt(lc1),v12,sqrt(fabs(lc2)),   \
                   6829:                           mu2,std,v21,sqrt(lc1),v22,sqrt(fabs(lc2)));
1.222     brouard  6830:                 }/* if first */
                   6831:               } /* age mod 5 */
                   6832:             } /* end loop age */
                   6833:             fprintf(ficgp,"\nset out;\nset out \"%s_%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6834:             first=1;
                   6835:           } /*l12 */
                   6836:         } /* k12 */
                   6837:        } /*l1 */
                   6838:      }/* k1 */
                   6839:    }  /* loop on combination of covariates j1 */
                   6840:    free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   6841:    free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   6842:    free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   6843:    free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   6844:    free_vector(xp,1,npar);
                   6845:    fclose(ficresprob);
                   6846:    fclose(ficresprobcov);
                   6847:    fclose(ficresprobcor);
                   6848:    fflush(ficgp);
                   6849:    fflush(fichtmcov);
                   6850:  }
1.126     brouard  6851: 
                   6852: 
                   6853: /******************* Printing html file ***********/
1.201     brouard  6854: void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  6855:                  int lastpass, int stepm, int weightopt, char model[],\
                   6856:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
1.296     brouard  6857:                  int popforecast, int mobilav, int prevfcast, int mobilavproj, int prevbcast, int estepm , \
                   6858:                  double jprev1, double mprev1,double anprev1, double dateprev1, double dateprojd, double dateback1, \
                   6859:                  double jprev2, double mprev2,double anprev2, double dateprev2, double dateprojf, double dateback2){
1.237     brouard  6860:   int jj1, k1, i1, cpt, k4, nres;
1.126     brouard  6861: 
                   6862:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   6863:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   6864: </ul>");
1.237     brouard  6865:    fprintf(fichtm,"<ul><li> model=1+age+%s\n \
                   6866: </ul>", model);
1.214     brouard  6867:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n");
                   6868:    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",
                   6869:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTMFR_",".htm"),subdirfext3(optionfilefiname,"PHTMFR_",".htm"));
                   6870:    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  6871:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTM_",".htm"),subdirfext3(optionfilefiname,"PHTM_",".htm"));
                   6872:    fprintf(fichtm,",  <a href=\"%s\">%s</a> (text file) <br>\n",subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_"));
1.126     brouard  6873:    fprintf(fichtm,"\
                   6874:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
1.201     brouard  6875:           stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_"));
1.126     brouard  6876:    fprintf(fichtm,"\
1.217     brouard  6877:  - Estimated back transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
                   6878:           stepm,subdirf2(fileresu,"PIJB_"),subdirf2(fileresu,"PIJB_"));
                   6879:    fprintf(fichtm,"\
1.288     brouard  6880:  - Period (forward) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  6881:           subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
1.126     brouard  6882:    fprintf(fichtm,"\
1.288     brouard  6883:  - Backward prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.217     brouard  6884:           subdirf2(fileresu,"PLB_"),subdirf2(fileresu,"PLB_"));
                   6885:    fprintf(fichtm,"\
1.211     brouard  6886:  - (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  6887:    <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  6888:           estepm,subdirf2(fileresu,"E_"),subdirf2(fileresu,"E_"));
1.211     brouard  6889:    if(prevfcast==1){
                   6890:      fprintf(fichtm,"\
                   6891:  - Prevalence projections by age and states:                           \
1.201     brouard  6892:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
1.211     brouard  6893:    }
1.126     brouard  6894: 
                   6895: 
1.225     brouard  6896:    m=pow(2,cptcoveff);
1.222     brouard  6897:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  6898: 
1.264     brouard  6899:    fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
                   6900: 
                   6901:    jj1=0;
                   6902: 
                   6903:    fprintf(fichtm," \n<ul>");
                   6904:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   6905:    for(k1=1; k1<=m;k1++){ /* For each combination of covariate */
                   6906:      if(m != 1 && TKresult[nres]!= k1)
                   6907:        continue;
                   6908:      jj1++;
                   6909:      if (cptcovn > 0) {
                   6910:        fprintf(fichtm,"\n<li><a  size=\"1\" color=\"#EC5E5E\" href=\"#rescov");
                   6911:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   6912:         fprintf(fichtm,"_V%d=%d_",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6913:        }
                   6914:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6915:         fprintf(fichtm,"_V%d=%f_",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6916:        }
                   6917:        fprintf(fichtm,"\">");
                   6918:        
                   6919:        /* if(nqfveff+nqtveff 0) */ /* Test to be done */
                   6920:        fprintf(fichtm,"************ Results for covariates");
                   6921:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   6922:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6923:        }
                   6924:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6925:         fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6926:        }
                   6927:        if(invalidvarcomb[k1]){
                   6928:         fprintf(fichtm," Warning Combination (%d) ignored because no cases ",k1); 
                   6929:         continue;
                   6930:        }
                   6931:        fprintf(fichtm,"</a></li>");
                   6932:      } /* cptcovn >0 */
                   6933:    }
                   6934:      fprintf(fichtm," \n</ul>");
                   6935: 
1.222     brouard  6936:    jj1=0;
1.237     brouard  6937: 
                   6938:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
1.241     brouard  6939:    for(k1=1; k1<=m;k1++){ /* For each combination of covariate */
1.253     brouard  6940:      if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  6941:        continue;
1.220     brouard  6942: 
1.222     brouard  6943:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   6944:      jj1++;
                   6945:      if (cptcovn > 0) {
1.264     brouard  6946:        fprintf(fichtm,"\n<p><a name=\"rescov");
                   6947:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   6948:         fprintf(fichtm,"_V%d=%d_",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6949:        }
                   6950:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6951:         fprintf(fichtm,"_V%d=%f_",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6952:        }
                   6953:        fprintf(fichtm,"\"</a>");
                   6954:  
1.222     brouard  6955:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  6956:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
1.237     brouard  6957:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6958:         printf(" V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);fflush(stdout);
                   6959:         /* fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]); */
                   6960:         /* printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout); */
1.222     brouard  6961:        }
1.237     brouard  6962:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6963:        fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6964:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);fflush(stdout);
                   6965:       }
                   6966:        
1.230     brouard  6967:        /* if(nqfveff+nqtveff 0) */ /* Test to be done */
1.222     brouard  6968:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   6969:        if(invalidvarcomb[k1]){
                   6970:         fprintf(fichtm,"\n<h3>Combination (%d) ignored because no cases </h3>\n",k1); 
                   6971:         printf("\nCombination (%d) ignored because no cases \n",k1); 
                   6972:         continue;
                   6973:        }
                   6974:      }
                   6975:      /* aij, bij */
1.259     brouard  6976:      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  6977: <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  6978:      /* Pij */
1.241     brouard  6979:      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> \
                   6980: <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  6981:      /* Quasi-incidences */
                   6982:      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  6983:  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too, \
1.211     brouard  6984:  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  6985: 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> \
                   6986: <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  6987:      /* Survival functions (period) in state j */
                   6988:      for(cpt=1; cpt<=nlstate;cpt++){
1.292     brouard  6989:        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  6990: <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  6991:      }
                   6992:      /* State specific survival functions (period) */
                   6993:      for(cpt=1; cpt<=nlstate;cpt++){
1.292     brouard  6994:        fprintf(fichtm,"<br>\n- Survival functions in state %d and in any other live state (total).\
                   6995:  And probability to be observed in various states (up to %d) being in state %d at different ages.      \
1.283     brouard  6996:  <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  6997:      }
1.288     brouard  6998:      /* Period (forward stable) prevalence in each health state */
1.222     brouard  6999:      for(cpt=1; cpt<=nlstate;cpt++){
1.264     brouard  7000:        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> \
                   7001: <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  7002:      }
1.296     brouard  7003:      if(prevbcast==1){
1.288     brouard  7004:        /* Backward prevalence in each health state */
1.222     brouard  7005:        for(cpt=1; cpt<=nlstate;cpt++){
1.264     brouard  7006:         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  7007: <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  7008:        }
1.217     brouard  7009:      }
1.222     brouard  7010:      if(prevfcast==1){
1.288     brouard  7011:        /* Projection of prevalence up to period (forward stable) prevalence in each health state */
1.222     brouard  7012:        for(cpt=1; cpt<=nlstate;cpt++){
1.288     brouard  7013:         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  7014: <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  7015:        }
                   7016:      }
1.296     brouard  7017:      if(prevbcast==1){
1.268     brouard  7018:       /* Back projection of prevalence up to stable (mixed) back-prevalence in each health state */
                   7019:        for(cpt=1; cpt<=nlstate;cpt++){
1.273     brouard  7020:         fprintf(fichtm,"<br>\n- Back projection of cross-sectional prevalence (estimated with cases observed from %.1f to %.1f and mobil_average=%d), \
                   7021:  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 \
                   7022:  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) \
                   7023: with weights corresponding to observed prevalence at different ages. <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a><br> \
                   7024:  <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  7025:        }
                   7026:      }
1.220     brouard  7027:         
1.222     brouard  7028:      for(cpt=1; cpt<=nlstate;cpt++) {
1.241     brouard  7029:        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> \
                   7030: <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  7031:      }
                   7032:      /* } /\* end i1 *\/ */
                   7033:    }/* End k1 */
                   7034:    fprintf(fichtm,"</ul>");
1.126     brouard  7035: 
1.222     brouard  7036:    fprintf(fichtm,"\
1.126     brouard  7037: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
1.193     brouard  7038:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
1.203     brouard  7039:  - 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  7040: But because parameters are usually highly correlated (a higher incidence of disability \
                   7041: and a higher incidence of recovery can give very close observed transition) it might \
                   7042: be very useful to look not only at linear confidence intervals estimated from the \
                   7043: variances but at the covariance matrix. And instead of looking at the estimated coefficients \
                   7044: (parameters) of the logistic regression, it might be more meaningful to visualize the \
                   7045: covariance matrix of the one-step probabilities. \
                   7046: See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
1.126     brouard  7047: 
1.222     brouard  7048:    fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   7049:           subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_"));
                   7050:    fprintf(fichtm,"\
1.126     brouard  7051:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  7052:           subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_"));
1.126     brouard  7053: 
1.222     brouard  7054:    fprintf(fichtm,"\
1.126     brouard  7055:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  7056:           subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"PROBCOR_"));
                   7057:    fprintf(fichtm,"\
1.126     brouard  7058:  - 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): \
                   7059:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  7060:           estepm,subdirf2(fileresu,"CVE_"),subdirf2(fileresu,"CVE_"));
1.222     brouard  7061:    fprintf(fichtm,"\
1.126     brouard  7062:  - (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): \
                   7063:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  7064:           estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_"));
1.222     brouard  7065:    fprintf(fichtm,"\
1.288     brouard  7066:  - 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  7067:           estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_"));
                   7068:    fprintf(fichtm,"\
1.128     brouard  7069:  - 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  7070:           estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_"));
                   7071:    fprintf(fichtm,"\
1.288     brouard  7072:  - Standard deviation of forward (period) prevalences: <a href=\"%s\">%s</a> <br>\n",\
1.222     brouard  7073:           subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
1.126     brouard  7074: 
                   7075: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   7076: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   7077: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   7078: /*     <br>",fileres,fileres,fileres,fileres); */
                   7079: /*  else  */
                   7080: /*    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  7081:    fflush(fichtm);
                   7082:    fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
1.126     brouard  7083: 
1.225     brouard  7084:    m=pow(2,cptcoveff);
1.222     brouard  7085:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  7086: 
1.222     brouard  7087:    jj1=0;
1.237     brouard  7088: 
1.241     brouard  7089:    for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.222     brouard  7090:    for(k1=1; k1<=m;k1++){
1.253     brouard  7091:      if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7092:        continue;
1.222     brouard  7093:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   7094:      jj1++;
1.126     brouard  7095:      if (cptcovn > 0) {
                   7096:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  7097:        for (cpt=1; cpt<=cptcoveff;cpt++)  /**< cptcoveff number of variables */
1.237     brouard  7098:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);
                   7099:         /* fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]); */
                   7100:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7101:        fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7102:       }
                   7103: 
1.126     brouard  7104:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  7105: 
1.222     brouard  7106:        if(invalidvarcomb[k1]){
                   7107:         fprintf(fichtm,"\n<h4>Combination (%d) ignored because no cases </h4>\n",k1); 
                   7108:         continue;
                   7109:        }
1.126     brouard  7110:      }
                   7111:      for(cpt=1; cpt<=nlstate;cpt++) {
1.258     brouard  7112:        fprintf(fichtm,"\n<br>- Observed (cross-sectional with mov_average=%d) and period (incidence based) \
1.241     brouard  7113: 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  7114: <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  7115:      }
                   7116:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.128     brouard  7117: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
                   7118: true period expectancies (those weighted with period prevalences are also\
                   7119:  drawn in addition to the population based expectancies computed using\
1.241     brouard  7120:  observed and cahotic prevalences:  <a href=\"%s_%d-%d.svg\">%s_%d-%d.svg</a>\n<br>\
                   7121: <img src=\"%s_%d-%d.svg\">",subdirf2(optionfilefiname,"E_"),k1,nres,subdirf2(optionfilefiname,"E_"),k1,nres,subdirf2(optionfilefiname,"E_"),k1,nres);
1.222     brouard  7122:      /* } /\* end i1 *\/ */
                   7123:    }/* End k1 */
1.241     brouard  7124:   }/* End nres */
1.222     brouard  7125:    fprintf(fichtm,"</ul>");
                   7126:    fflush(fichtm);
1.126     brouard  7127: }
                   7128: 
                   7129: /******************* Gnuplot file **************/
1.296     brouard  7130: 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  7131: 
                   7132:   char dirfileres[132],optfileres[132];
1.264     brouard  7133:   char gplotcondition[132], gplotlabel[132];
1.237     brouard  7134:   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  7135:   int lv=0, vlv=0, kl=0;
1.130     brouard  7136:   int ng=0;
1.201     brouard  7137:   int vpopbased;
1.223     brouard  7138:   int ioffset; /* variable offset for columns */
1.270     brouard  7139:   int iyearc=1; /* variable column for year of projection  */
                   7140:   int iagec=1; /* variable column for age of projection  */
1.235     brouard  7141:   int nres=0; /* Index of resultline */
1.266     brouard  7142:   int istart=1; /* For starting graphs in projections */
1.219     brouard  7143: 
1.126     brouard  7144: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   7145: /*     printf("Problem with file %s",optionfilegnuplot); */
                   7146: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   7147: /*   } */
                   7148: 
                   7149:   /*#ifdef windows */
                   7150:   fprintf(ficgp,"cd \"%s\" \n",pathc);
1.223     brouard  7151:   /*#endif */
1.225     brouard  7152:   m=pow(2,cptcoveff);
1.126     brouard  7153: 
1.274     brouard  7154:   /* diagram of the model */
                   7155:   fprintf(ficgp,"\n#Diagram of the model \n");
                   7156:   fprintf(ficgp,"\ndelta=0.03;delta2=0.07;unset arrow;\n");
                   7157:   fprintf(ficgp,"yoff=(%d > 2? 0:1);\n",nlstate);
                   7158:   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);
                   7159: 
                   7160:   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);
                   7161:   fprintf(ficgp,"\n#show arrow\nunset label\n");
                   7162:   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);
                   7163:   fprintf(ficgp,"\nset label %d+1 sprintf(\"State %%d\",%d+1) center at 0.,0.  font \"helvetica, 16\" tc rgbcolor \"red\"\n",nlstate,nlstate);
                   7164:   fprintf(ficgp,"\n#show label\nunset border;unset xtics; unset ytics;\n");
                   7165:   fprintf(ficgp,"\n\nset ter svg size 640, 480;set out \"%s_.svg\" \n",subdirf2(optionfilefiname,"D_"));
                   7166:   fprintf(ficgp,"unset log y; plot [-1.2:1.2][yoff-1.2:1.2] 1/0 not; set out;reset;\n");
                   7167: 
1.202     brouard  7168:   /* Contribution to likelihood */
                   7169:   /* Plot the probability implied in the likelihood */
1.223     brouard  7170:   fprintf(ficgp,"\n# Contributions to the Likelihood, mle >=1. For mle=4 no interpolation, pure matrix products.\n#\n");
                   7171:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Likelihood (-2Log(L))\";");
                   7172:   /* fprintf(ficgp,"\nset ter svg size 640, 480"); */ /* Too big for svg */
                   7173:   fprintf(ficgp,"\nset ter pngcairo size 640, 480");
1.204     brouard  7174: /* nice for mle=4 plot by number of matrix products.
1.202     brouard  7175:    replot  "rrtest1/toto.txt" u 2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with point lc 1 */
                   7176: /* replot exp(p1+p2*x)/(1+exp(p1+p2*x)+exp(p3+p4*x)+exp(p5+p6*x)) t "p12(x)"  */
1.223     brouard  7177:   /* fprintf(ficgp,"\nset out \"%s.svg\";",subdirf2(optionfilefiname,"ILK_")); */
                   7178:   fprintf(ficgp,"\nset out \"%s-dest.png\";",subdirf2(optionfilefiname,"ILK_"));
                   7179:   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));
                   7180:   fprintf(ficgp,"\nset out \"%s-ori.png\";",subdirf2(optionfilefiname,"ILK_"));
                   7181:   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));
                   7182:   for (i=1; i<= nlstate ; i ++) {
                   7183:     fprintf(ficgp,"\nset out \"%s-p%dj.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i);
                   7184:     fprintf(ficgp,"unset log;\n# plot weighted, mean weight should have point size of 0.5\n plot  \"%s\"",subdirf(fileresilk));
                   7185:     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);
                   7186:     for (j=2; j<= nlstate+ndeath ; j ++) {
                   7187:       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);
                   7188:     }
                   7189:     fprintf(ficgp,";\nset out; unset ylabel;\n"); 
                   7190:   }
                   7191:   /* 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 */               
                   7192:   /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
                   7193:   /* fprintf(ficgp,"\nreplot  \"%s\" u 2:($3 <= 3 ? -$11 : 1/0):3 t \"First 3 individuals\" with line lc variable", subdirf(fileresilk)); */
                   7194:   fprintf(ficgp,"\nset out;unset log\n");
                   7195:   /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
1.202     brouard  7196: 
1.126     brouard  7197:   strcpy(dirfileres,optionfilefiname);
                   7198:   strcpy(optfileres,"vpl");
1.223     brouard  7199:   /* 1eme*/
1.238     brouard  7200:   for (cpt=1; cpt<= nlstate ; cpt ++){ /* For each live state */
                   7201:     for (k1=1; k1<= m ; k1 ++){ /* For each valid combination of covariate */
1.236     brouard  7202:       for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.238     brouard  7203:        /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
1.253     brouard  7204:        if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7205:          continue;
                   7206:        /* We are interested in selected combination by the resultline */
1.246     brouard  7207:        /* printf("\n# 1st: Period (stable) prevalence with CI: 'VPL_' files and live state =%d ", cpt); */
1.288     brouard  7208:        fprintf(ficgp,"\n# 1st: Forward (stable period) prevalence with CI: 'VPL_' files  and live state =%d ", cpt);
1.264     brouard  7209:        strcpy(gplotlabel,"(");
1.238     brouard  7210:        for (k=1; k<=cptcoveff; k++){    /* For each covariate k get corresponding value lv for combination k1 */
                   7211:          lv= decodtabm(k1,k,cptcoveff); /* Should be the value of the covariate corresponding to k1 combination */
                   7212:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7213:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7214:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7215:          vlv= nbcode[Tvaraff[k]][lv]; /* vlv is the value of the covariate lv, 0 or 1 */
                   7216:          /* For each combination of covariate k1 (V1=1, V3=0), we printed the current covariate k and its value vlv */
1.246     brouard  7217:          /* printf(" V%d=%d ",Tvaraff[k],vlv); */
1.238     brouard  7218:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7219:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7220:        }
                   7221:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.246     brouard  7222:          /* printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
1.238     brouard  7223:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7224:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7225:        }
                   7226:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.246     brouard  7227:        /* printf("\n#\n"); */
1.238     brouard  7228:        fprintf(ficgp,"\n#\n");
                   7229:        if(invalidvarcomb[k1]){
1.260     brouard  7230:           /*k1=k1-1;*/ /* To be checked */
1.238     brouard  7231:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7232:          continue;
                   7233:        }
1.235     brouard  7234:       
1.241     brouard  7235:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1,nres);
                   7236:        fprintf(ficgp,"\n#set out \"V_%s_%d-%d-%d.svg\" \n",optionfilefiname,cpt,k1,nres);
1.276     brouard  7237:        /* fprintf(ficgp,"set label \"Alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel); */
                   7238:        fprintf(ficgp,"set title \"Alive state %d %s\" font \"Helvetica,12\"\n",cpt,gplotlabel);
1.260     brouard  7239:        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);
                   7240:        /* 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); */
                   7241:       /* k1-1 error should be nres-1*/
1.238     brouard  7242:        for (i=1; i<= nlstate ; i ++) {
                   7243:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7244:          else        fprintf(ficgp," %%*lf (%%*lf)");
                   7245:        }
1.288     brouard  7246:        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  7247:        for (i=1; i<= nlstate ; i ++) {
                   7248:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7249:          else fprintf(ficgp," %%*lf (%%*lf)");
                   7250:        } 
1.260     brouard  7251:        fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2==%d ? $3-1.96*$4 : 1/0) \"%%lf %%lf",subdirf2(fileresu,"VPL_"),nres-1,nres-1,nres); 
1.238     brouard  7252:        for (i=1; i<= nlstate ; i ++) {
                   7253:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7254:          else fprintf(ficgp," %%*lf (%%*lf)");
                   7255:        }  
1.265     brouard  7256:        /* fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence\" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1)); */
                   7257:        
                   7258:        fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" u 1:((",subdirf2(fileresu,"P_"));
                   7259:         if(cptcoveff ==0){
1.271     brouard  7260:          fprintf(ficgp,"$%d)) t 'Observed prevalence in state %d' with line lt 3",      2+3*(cpt-1),  cpt );
1.265     brouard  7261:        }else{
                   7262:          kl=0;
                   7263:          for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
                   7264:            lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7265:            /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7266:            /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7267:            /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7268:            vlv= nbcode[Tvaraff[k]][lv];
                   7269:            kl++;
                   7270:            /* 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 *\/ */
                   7271:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7272:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7273:            /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
                   7274:            if(k==cptcoveff){
                   7275:              fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Observed prevalence in state %d' w l lt 2",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
                   7276:                      2+cptcoveff*2+3*(cpt-1),  cpt );  /* 4 or 6 ?*/
                   7277:            }else{
                   7278:              fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                   7279:              kl++;
                   7280:            }
                   7281:          } /* end covariate */
                   7282:        } /* end if no covariate */
                   7283: 
1.296     brouard  7284:        if(prevbcast==1){ /* We need to get the corresponding values of the covariates involved in this combination k1 */
1.238     brouard  7285:          /* fprintf(ficgp,",\"%s\" every :::%d::%d u 1:($%d) t\"Backward stable prevalence\" w l lt 3",subdirf2(fileresu,"PLB_"),k1-1,k1-1,1+cpt); */
1.242     brouard  7286:          fprintf(ficgp,",\"%s\" u 1:((",subdirf2(fileresu,"PLB_")); /* Age is in 1, nres in 2 to be fixed */
1.238     brouard  7287:          if(cptcoveff ==0){
1.245     brouard  7288:            fprintf(ficgp,"$%d)) t 'Backward prevalence in state %d' with line lt 3",    2+(cpt-1),  cpt );
1.238     brouard  7289:          }else{
                   7290:            kl=0;
                   7291:            for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
                   7292:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7293:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7294:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7295:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7296:              vlv= nbcode[Tvaraff[k]][lv];
1.223     brouard  7297:              kl++;
1.238     brouard  7298:              /* 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 *\/ */
                   7299:              /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7300:              /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7301:              /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
                   7302:              if(k==cptcoveff){
1.245     brouard  7303:                fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Backward prevalence in state %d' w l lt 3",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
1.242     brouard  7304:                        2+cptcoveff*2+(cpt-1),  cpt );  /* 4 or 6 ?*/
1.238     brouard  7305:              }else{
                   7306:                fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                   7307:                kl++;
                   7308:              }
                   7309:            } /* end covariate */
                   7310:          } /* end if no covariate */
1.296     brouard  7311:          if(prevbcast == 1){
1.268     brouard  7312:            fprintf(ficgp,", \"%s\" every :::%d::%d u 1:($2==%d ? $3:1/0) \"%%lf %%lf",subdirf2(fileresu,"VBL_"),nres-1,nres-1,nres);
                   7313:            /* k1-1 error should be nres-1*/
                   7314:            for (i=1; i<= nlstate ; i ++) {
                   7315:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7316:              else        fprintf(ficgp," %%*lf (%%*lf)");
                   7317:            }
1.271     brouard  7318:            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  7319:            for (i=1; i<= nlstate ; i ++) {
                   7320:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7321:              else fprintf(ficgp," %%*lf (%%*lf)");
                   7322:            } 
1.276     brouard  7323:            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  7324:            for (i=1; i<= nlstate ; i ++) {
                   7325:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7326:              else fprintf(ficgp," %%*lf (%%*lf)");
                   7327:            } 
1.274     brouard  7328:            fprintf(ficgp,"\" t\"\" w l lt 4");
1.268     brouard  7329:          } /* end if backprojcast */
1.296     brouard  7330:        } /* end if prevbcast */
1.276     brouard  7331:        /* fprintf(ficgp,"\nset out ;unset label;\n"); */
                   7332:        fprintf(ficgp,"\nset out ;unset title;\n");
1.238     brouard  7333:       } /* nres */
1.201     brouard  7334:     } /* k1 */
                   7335:   } /* cpt */
1.235     brouard  7336: 
                   7337:   
1.126     brouard  7338:   /*2 eme*/
1.238     brouard  7339:   for (k1=1; k1<= m ; k1 ++){  
                   7340:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7341:       if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7342:        continue;
                   7343:       fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files ");
1.264     brouard  7344:       strcpy(gplotlabel,"(");
1.238     brouard  7345:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.225     brouard  7346:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  7347:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7348:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7349:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7350:        vlv= nbcode[Tvaraff[k]][lv];
                   7351:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7352:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  7353:       }
1.237     brouard  7354:       /* for(k=1; k <= ncovds; k++){ */
1.236     brouard  7355:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.238     brouard  7356:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.236     brouard  7357:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7358:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7359:       }
1.264     brouard  7360:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.211     brouard  7361:       fprintf(ficgp,"\n#\n");
1.223     brouard  7362:       if(invalidvarcomb[k1]){
                   7363:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7364:        continue;
                   7365:       }
1.219     brouard  7366:                        
1.241     brouard  7367:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"E_"),k1,nres);
1.238     brouard  7368:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.264     brouard  7369:        fprintf(ficgp,"\nset label \"popbased %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",vpopbased,gplotlabel);
                   7370:        if(vpopbased==0){
1.238     brouard  7371:          fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
1.264     brouard  7372:        }else
1.238     brouard  7373:          fprintf(ficgp,"\nreplot ");
                   7374:        for (i=1; i<= nlstate+1 ; i ++) {
                   7375:          k=2*i;
1.261     brouard  7376:          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  7377:          for (j=1; j<= nlstate+1 ; j ++) {
                   7378:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7379:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7380:          }   
                   7381:          if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l lt %d, \\\n",i);
                   7382:          else fprintf(ficgp,"\" t\"LE in state (%d)\" w l lt %d, \\\n",i-1,i+1);
1.261     brouard  7383:          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  7384:          for (j=1; j<= nlstate+1 ; j ++) {
                   7385:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7386:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7387:          }   
                   7388:          fprintf(ficgp,"\" t\"\" w l lt 0,");
1.261     brouard  7389:          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  7390:          for (j=1; j<= nlstate+1 ; j ++) {
                   7391:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7392:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7393:          }   
                   7394:          if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   7395:          else fprintf(ficgp,"\" t\"\" w l lt 0,\\\n");
                   7396:        } /* state */
                   7397:       } /* vpopbased */
1.264     brouard  7398:       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  7399:     } /* end nres */
                   7400:   } /* k1 end 2 eme*/
                   7401:        
                   7402:        
                   7403:   /*3eme*/
                   7404:   for (k1=1; k1<= m ; k1 ++){
                   7405:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7406:       if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7407:        continue;
                   7408: 
                   7409:       for (cpt=1; cpt<= nlstate ; cpt ++) {
1.261     brouard  7410:        fprintf(ficgp,"\n\n# 3d: Life expectancy with EXP_ files:  combination=%d state=%d",k1, cpt);
1.264     brouard  7411:        strcpy(gplotlabel,"(");
1.238     brouard  7412:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7413:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7414:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7415:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7416:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7417:          vlv= nbcode[Tvaraff[k]][lv];
                   7418:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7419:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7420:        }
                   7421:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7422:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7423:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7424:        }       
1.264     brouard  7425:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7426:        fprintf(ficgp,"\n#\n");
                   7427:        if(invalidvarcomb[k1]){
                   7428:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7429:          continue;
                   7430:        }
                   7431:                        
                   7432:        /*       k=2+nlstate*(2*cpt-2); */
                   7433:        k=2+(nlstate+1)*(cpt-1);
1.241     brouard  7434:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres);
1.264     brouard  7435:        fprintf(ficgp,"set label \"%s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",gplotlabel);
1.238     brouard  7436:        fprintf(ficgp,"set ter svg size 640, 480\n\
1.261     brouard  7437: 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  7438:        /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   7439:          for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   7440:          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   7441:          fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%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);
1.219     brouard  7444:                                
1.238     brouard  7445:        */
                   7446:        for (i=1; i< nlstate ; i ++) {
1.261     brouard  7447:          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  7448:          /*    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  7449:                                
1.238     brouard  7450:        } 
1.261     brouard  7451:        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  7452:       }
1.264     brouard  7453:       fprintf(ficgp,"\nunset label;\n");
1.238     brouard  7454:     } /* end nres */
                   7455:   } /* end kl 3eme */
1.126     brouard  7456:   
1.223     brouard  7457:   /* 4eme */
1.201     brouard  7458:   /* Survival functions (period) from state i in state j by initial state i */
1.238     brouard  7459:   for (k1=1; k1<=m; k1++){    /* For each covariate and each value */
                   7460:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7461:       if(m != 1 && TKresult[nres]!= k1)
1.223     brouard  7462:        continue;
1.238     brouard  7463:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state cpt*/
1.264     brouard  7464:        strcpy(gplotlabel,"(");
1.238     brouard  7465:        fprintf(ficgp,"\n#\n#\n# Survival functions in state j : 'LIJ_' files, cov=%d state=%d",k1, cpt);
                   7466:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7467:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7468:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7469:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7470:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7471:          vlv= nbcode[Tvaraff[k]][lv];
                   7472:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7473:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7474:        }
                   7475:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7476:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7477:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7478:        }       
1.264     brouard  7479:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7480:        fprintf(ficgp,"\n#\n");
                   7481:        if(invalidvarcomb[k1]){
                   7482:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7483:          continue;
1.223     brouard  7484:        }
1.238     brouard  7485:       
1.241     brouard  7486:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres);
1.264     brouard  7487:        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  7488:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   7489: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7490:        k=3;
                   7491:        for (i=1; i<= nlstate ; i ++){
                   7492:          if(i==1){
                   7493:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7494:          }else{
                   7495:            fprintf(ficgp,", '' ");
                   7496:          }
                   7497:          l=(nlstate+ndeath)*(i-1)+1;
                   7498:          fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   7499:          for (j=2; j<= nlstate+ndeath ; j ++)
                   7500:            fprintf(ficgp,"+$%d",k+l+j-1);
                   7501:          fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
                   7502:        } /* nlstate */
1.264     brouard  7503:        fprintf(ficgp,"\nset out; unset label;\n");
1.238     brouard  7504:       } /* end cpt state*/ 
                   7505:     } /* end nres */
                   7506:   } /* end covariate k1 */  
                   7507: 
1.220     brouard  7508: /* 5eme */
1.201     brouard  7509:   /* Survival functions (period) from state i in state j by final state j */
1.238     brouard  7510:   for (k1=1; k1<= m ; k1++){ /* For each covariate combination if any */
                   7511:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7512:       if(m != 1 && TKresult[nres]!= k1)
1.227     brouard  7513:        continue;
1.238     brouard  7514:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each inital state  */
1.264     brouard  7515:        strcpy(gplotlabel,"(");
1.238     brouard  7516:        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);
                   7517:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7518:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7519:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7520:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7521:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7522:          vlv= nbcode[Tvaraff[k]][lv];
                   7523:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7524:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7525:        }
                   7526:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7527:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7528:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7529:        }       
1.264     brouard  7530:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7531:        fprintf(ficgp,"\n#\n");
                   7532:        if(invalidvarcomb[k1]){
                   7533:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7534:          continue;
                   7535:        }
1.227     brouard  7536:       
1.241     brouard  7537:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres);
1.264     brouard  7538:        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  7539:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   7540: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7541:        k=3;
                   7542:        for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   7543:          if(j==1)
                   7544:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7545:          else
                   7546:            fprintf(ficgp,", '' ");
                   7547:          l=(nlstate+ndeath)*(cpt-1) +j;
                   7548:          fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):($%d",k1,k+l);
                   7549:          /* for (i=2; i<= nlstate+ndeath ; i ++) */
                   7550:          /*   fprintf(ficgp,"+$%d",k+l+i-1); */
                   7551:          fprintf(ficgp,") t \"l(%d,%d)\" w l",cpt,j);
                   7552:        } /* nlstate */
                   7553:        fprintf(ficgp,", '' ");
                   7554:        fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):(",k1);
                   7555:        for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   7556:          l=(nlstate+ndeath)*(cpt-1) +j;
                   7557:          if(j < nlstate)
                   7558:            fprintf(ficgp,"$%d +",k+l);
                   7559:          else
                   7560:            fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
                   7561:        }
1.264     brouard  7562:        fprintf(ficgp,"\nset out; unset label;\n");
1.238     brouard  7563:       } /* end cpt state*/ 
                   7564:     } /* end covariate */  
                   7565:   } /* end nres */
1.227     brouard  7566:   
1.220     brouard  7567: /* 6eme */
1.202     brouard  7568:   /* CV preval stable (period) for each covariate */
1.237     brouard  7569:   for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7570:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7571:     if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7572:       continue;
1.255     brouard  7573:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state of arrival */
1.264     brouard  7574:       strcpy(gplotlabel,"(");      
1.288     brouard  7575:       fprintf(ficgp,"\n#\n#\n#CV preval stable (forward): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
1.225     brouard  7576:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.227     brouard  7577:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7578:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7579:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7580:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7581:        vlv= nbcode[Tvaraff[k]][lv];
                   7582:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7583:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  7584:       }
1.237     brouard  7585:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7586:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7587:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7588:       }        
1.264     brouard  7589:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.211     brouard  7590:       fprintf(ficgp,"\n#\n");
1.223     brouard  7591:       if(invalidvarcomb[k1]){
1.227     brouard  7592:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7593:        continue;
1.223     brouard  7594:       }
1.227     brouard  7595:       
1.241     brouard  7596:       fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"P_"),cpt,k1,nres);
1.264     brouard  7597:       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  7598:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.238     brouard  7599: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  7600:       k=3; /* Offset */
1.255     brouard  7601:       for (i=1; i<= nlstate ; i ++){ /* State of origin */
1.227     brouard  7602:        if(i==1)
                   7603:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7604:        else
                   7605:          fprintf(ficgp,", '' ");
1.255     brouard  7606:        l=(nlstate+ndeath)*(i-1)+1; /* 1, 1+ nlstate+ndeath, 1+2*(nlstate+ndeath) */
1.227     brouard  7607:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   7608:        for (j=2; j<= nlstate ; j ++)
                   7609:          fprintf(ficgp,"+$%d",k+l+j-1);
                   7610:        fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
1.153     brouard  7611:       } /* nlstate */
1.264     brouard  7612:       fprintf(ficgp,"\nset out; unset label;\n");
1.153     brouard  7613:     } /* end cpt state*/ 
                   7614:   } /* end covariate */  
1.227     brouard  7615:   
                   7616:   
1.220     brouard  7617: /* 7eme */
1.296     brouard  7618:   if(prevbcast == 1){
1.288     brouard  7619:     /* CV backward prevalence  for each covariate */
1.237     brouard  7620:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7621:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7622:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7623:        continue;
1.268     brouard  7624:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life origin state */
1.264     brouard  7625:        strcpy(gplotlabel,"(");      
1.288     brouard  7626:        fprintf(ficgp,"\n#\n#\n#CV Backward stable prevalence: 'pijb' files, covariatecombination#=%d state=%d",k1, cpt);
1.227     brouard  7627:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7628:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7629:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7630:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
1.223     brouard  7631:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
1.227     brouard  7632:          vlv= nbcode[Tvaraff[k]][lv];
                   7633:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7634:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.227     brouard  7635:        }
1.237     brouard  7636:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7637:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7638:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7639:        }       
1.264     brouard  7640:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.227     brouard  7641:        fprintf(ficgp,"\n#\n");
                   7642:        if(invalidvarcomb[k1]){
                   7643:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7644:          continue;
                   7645:        }
                   7646:        
1.241     brouard  7647:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PB_"),cpt,k1,nres);
1.268     brouard  7648:        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  7649:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.238     brouard  7650: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.227     brouard  7651:        k=3; /* Offset */
1.268     brouard  7652:        for (i=1; i<= nlstate ; i ++){ /* State of arrival */
1.227     brouard  7653:          if(i==1)
                   7654:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJB_"));
                   7655:          else
                   7656:            fprintf(ficgp,", '' ");
                   7657:          /* l=(nlstate+ndeath)*(i-1)+1; */
1.255     brouard  7658:          l=(nlstate+ndeath)*(cpt-1)+1; /* fixed for i; cpt=1 1, cpt=2 1+ nlstate+ndeath, 1+2*(nlstate+ndeath) */
1.227     brouard  7659:          /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l); /\* a vérifier *\/ */
                   7660:          /* 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  7661:          fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d",k1,k+l+i-1); /* To be verified */
1.227     brouard  7662:          /* for (j=2; j<= nlstate ; j ++) */
                   7663:          /*    fprintf(ficgp,"+$%d",k+l+j-1); */
                   7664:          /*    /\* fprintf(ficgp,"+$%d",k+l+j-1); *\/ */
1.268     brouard  7665:          fprintf(ficgp,") t \"bprev(%d,%d)\" w l",cpt,i);
1.227     brouard  7666:        } /* nlstate */
1.264     brouard  7667:        fprintf(ficgp,"\nset out; unset label;\n");
1.218     brouard  7668:       } /* end cpt state*/ 
                   7669:     } /* end covariate */  
1.296     brouard  7670:   } /* End if prevbcast */
1.218     brouard  7671:   
1.223     brouard  7672:   /* 8eme */
1.218     brouard  7673:   if(prevfcast==1){
1.288     brouard  7674:     /* Projection from cross-sectional to forward stable (period) prevalence for each covariate */
1.218     brouard  7675:     
1.237     brouard  7676:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7677:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7678:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7679:        continue;
1.211     brouard  7680:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.264     brouard  7681:        strcpy(gplotlabel,"(");      
1.288     brouard  7682:        fprintf(ficgp,"\n#\n#\n#Projection of prevalence to forward stable prevalence (period): 'PROJ_' files, covariatecombination#=%d state=%d",k1, cpt);
1.227     brouard  7683:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   7684:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7685:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7686:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7687:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7688:          vlv= nbcode[Tvaraff[k]][lv];
                   7689:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7690:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.227     brouard  7691:        }
1.237     brouard  7692:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7693:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7694:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7695:        }       
1.264     brouard  7696:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.227     brouard  7697:        fprintf(ficgp,"\n#\n");
                   7698:        if(invalidvarcomb[k1]){
                   7699:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7700:          continue;
                   7701:        }
                   7702:        
                   7703:        fprintf(ficgp,"# hpijx=probability over h years, hp.jx is weighted by observed prev\n ");
1.241     brouard  7704:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres);
1.264     brouard  7705:        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  7706:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
1.238     brouard  7707: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.266     brouard  7708: 
                   7709:        /* for (i=1; i<= nlstate+1 ; i ++){  /\* nlstate +1 p11 p21 p.1 *\/ */
                   7710:        istart=nlstate+1; /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7711:        /*istart=1;*/ /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7712:        for (i=istart; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
1.227     brouard  7713:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7714:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   7715:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7716:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
1.266     brouard  7717:          if(i==istart){
1.227     brouard  7718:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"F_"));
                   7719:          }else{
                   7720:            fprintf(ficgp,",\\\n '' ");
                   7721:          }
                   7722:          if(cptcoveff ==0){ /* No covariate */
                   7723:            ioffset=2; /* Age is in 2 */
                   7724:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7725:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7726:            /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7727:            /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7728:            fprintf(ficgp," u %d:(", ioffset); 
1.266     brouard  7729:            if(i==nlstate+1){
1.270     brouard  7730:              fprintf(ficgp," $%d/(1.-$%d)):1 t 'pw.%d' with line lc variable ",        \
1.266     brouard  7731:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   7732:              fprintf(ficgp,",\\\n '' ");
                   7733:              fprintf(ficgp," u %d:(",ioffset); 
1.270     brouard  7734:              fprintf(ficgp," (($1-$2) == %d ) ? $%d/(1.-$%d) : 1/0):1 with labels center not ", \
1.266     brouard  7735:                     offyear,                           \
1.268     brouard  7736:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate );
1.266     brouard  7737:            }else
1.227     brouard  7738:              fprintf(ficgp," $%d/(1.-$%d)) t 'p%d%d' with line ",      \
                   7739:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   7740:          }else{ /* more than 2 covariates */
1.270     brouard  7741:            ioffset=2*cptcoveff+2; /* Age is in 4 or 6 or etc.*/
                   7742:            /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7743:            /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
                   7744:            iyearc=ioffset-1;
                   7745:            iagec=ioffset;
1.227     brouard  7746:            fprintf(ficgp," u %d:(",ioffset); 
                   7747:            kl=0;
                   7748:            strcpy(gplotcondition,"(");
                   7749:            for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                   7750:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
                   7751:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7752:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7753:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7754:              vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   7755:              kl++;
                   7756:              sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                   7757:              kl++;
                   7758:              if(k <cptcoveff && cptcoveff>1)
                   7759:                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   7760:            }
                   7761:            strcpy(gplotcondition+strlen(gplotcondition),")");
                   7762:            /* 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 *\/ */
                   7763:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7764:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7765:            /* ''  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*/
                   7766:            if(i==nlstate+1){
1.270     brouard  7767:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0):%d t 'p.%d' with line lc variable", gplotcondition, \
                   7768:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,iyearc, cpt );
1.266     brouard  7769:              fprintf(ficgp,",\\\n '' ");
1.270     brouard  7770:              fprintf(ficgp," u %d:(",iagec); 
                   7771:              fprintf(ficgp,"%s && (($%d-$%d) == %d ) ? $%d/(1.-$%d) : 1/0):%d with labels center not ", gplotcondition, \
                   7772:                      iyearc, iagec, offyear,                           \
                   7773:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate, iyearc );
1.266     brouard  7774: /*  '' 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  7775:            }else{
                   7776:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \
                   7777:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), ioffset +1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   7778:            }
                   7779:          } /* end if covariate */
                   7780:        } /* nlstate */
1.264     brouard  7781:        fprintf(ficgp,"\nset out; unset label;\n");
1.223     brouard  7782:       } /* end cpt state*/
                   7783:     } /* end covariate */
                   7784:   } /* End if prevfcast */
1.227     brouard  7785:   
1.296     brouard  7786:   if(prevbcast==1){
1.268     brouard  7787:     /* Back projection from cross-sectional to stable (mixed) for each covariate */
                   7788:     
                   7789:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7790:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   7791:       if(m != 1 && TKresult[nres]!= k1)
                   7792:        continue;
                   7793:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
                   7794:        strcpy(gplotlabel,"(");      
                   7795:        fprintf(ficgp,"\n#\n#\n#Back projection of prevalence to stable (mixed) back prevalence: 'BPROJ_' files, covariatecombination#=%d originstate=%d",k1, cpt);
                   7796:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   7797:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7798:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7799:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7800:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7801:          vlv= nbcode[Tvaraff[k]][lv];
                   7802:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   7803:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
                   7804:        }
                   7805:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7806:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7807:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7808:        }       
                   7809:        strcpy(gplotlabel+strlen(gplotlabel),")");
                   7810:        fprintf(ficgp,"\n#\n");
                   7811:        if(invalidvarcomb[k1]){
                   7812:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7813:          continue;
                   7814:        }
                   7815:        
                   7816:        fprintf(ficgp,"# hbijx=backprobability over h years, hb.jx is weighted by observed prev at destination state\n ");
                   7817:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres);
                   7818:        fprintf(ficgp,"set label \"Origin alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
                   7819:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
                   7820: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7821: 
                   7822:        /* for (i=1; i<= nlstate+1 ; i ++){  /\* nlstate +1 p11 p21 p.1 *\/ */
                   7823:        istart=nlstate+1; /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7824:        /*istart=1;*/ /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7825:        for (i=istart; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
                   7826:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7827:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   7828:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7829:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   7830:          if(i==istart){
                   7831:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"FB_"));
                   7832:          }else{
                   7833:            fprintf(ficgp,",\\\n '' ");
                   7834:          }
                   7835:          if(cptcoveff ==0){ /* No covariate */
                   7836:            ioffset=2; /* Age is in 2 */
                   7837:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7838:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7839:            /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7840:            /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7841:            fprintf(ficgp," u %d:(", ioffset); 
                   7842:            if(i==nlstate+1){
1.270     brouard  7843:              fprintf(ficgp," $%d/(1.-$%d)):1 t 'bw%d' with line lc variable ", \
1.268     brouard  7844:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   7845:              fprintf(ficgp,",\\\n '' ");
                   7846:              fprintf(ficgp," u %d:(",ioffset); 
1.270     brouard  7847:              fprintf(ficgp," (($1-$2) == %d ) ? $%d : 1/0):1 with labels center not ", \
1.268     brouard  7848:                     offbyear,                          \
                   7849:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1) );
                   7850:            }else
                   7851:              fprintf(ficgp," $%d/(1.-$%d)) t 'b%d%d' with line ",      \
                   7852:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt,i );
                   7853:          }else{ /* more than 2 covariates */
1.270     brouard  7854:            ioffset=2*cptcoveff+2; /* Age is in 4 or 6 or etc.*/
                   7855:            /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7856:            /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
                   7857:            iyearc=ioffset-1;
                   7858:            iagec=ioffset;
1.268     brouard  7859:            fprintf(ficgp," u %d:(",ioffset); 
                   7860:            kl=0;
                   7861:            strcpy(gplotcondition,"(");
                   7862:            for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                   7863:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
                   7864:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7865:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7866:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7867:              vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   7868:              kl++;
                   7869:              sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                   7870:              kl++;
                   7871:              if(k <cptcoveff && cptcoveff>1)
                   7872:                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   7873:            }
                   7874:            strcpy(gplotcondition+strlen(gplotcondition),")");
                   7875:            /* 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 *\/ */
                   7876:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7877:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7878:            /* ''  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*/
                   7879:            if(i==nlstate+1){
1.270     brouard  7880:              fprintf(ficgp,"%s ? $%d : 1/0):%d t 'bw%d' with line lc variable", gplotcondition, \
                   7881:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),iyearc,cpt );
1.268     brouard  7882:              fprintf(ficgp,",\\\n '' ");
1.270     brouard  7883:              fprintf(ficgp," u %d:(",iagec); 
1.268     brouard  7884:              /* fprintf(ficgp,"%s && (($5-$6) == %d ) ? $%d/(1.-$%d) : 1/0):5 with labels center not ", gplotcondition, \ */
1.270     brouard  7885:              fprintf(ficgp,"%s && (($%d-$%d) == %d ) ? $%d : 1/0):%d with labels center not ", gplotcondition, \
                   7886:                      iyearc,iagec,offbyear,                            \
                   7887:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), iyearc );
1.268     brouard  7888: /*  '' u 6:(($1==1 && $2==0  && $3==2 && $4==0) && (($5-$6) == 1947) ? $10/(1.-$22) : 1/0):5 with labels center boxed not*/
                   7889:            }else{
                   7890:              /* fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \ */
                   7891:              fprintf(ficgp,"%s ? $%d : 1/0) t 'b%d%d' with line ", gplotcondition, \
                   7892:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), cpt,i );
                   7893:            }
                   7894:          } /* end if covariate */
                   7895:        } /* nlstate */
                   7896:        fprintf(ficgp,"\nset out; unset label;\n");
                   7897:       } /* end cpt state*/
                   7898:     } /* end covariate */
1.296     brouard  7899:   } /* End if prevbcast */
1.268     brouard  7900:   
1.227     brouard  7901:   
1.238     brouard  7902:   /* 9eme writing MLE parameters */
                   7903:   fprintf(ficgp,"\n##############\n#9eme MLE estimated parameters\n#############\n");
1.126     brouard  7904:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  7905:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  7906:     for(k=1; k <=(nlstate+ndeath); k++){
                   7907:       if (k != i) {
1.227     brouard  7908:        fprintf(ficgp,"#   current state %d\n",k);
                   7909:        for(j=1; j <=ncovmodel; j++){
                   7910:          fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
                   7911:          jk++; 
                   7912:        }
                   7913:        fprintf(ficgp,"\n");
1.126     brouard  7914:       }
                   7915:     }
1.223     brouard  7916:   }
1.187     brouard  7917:   fprintf(ficgp,"##############\n#\n");
1.227     brouard  7918:   
1.145     brouard  7919:   /*goto avoid;*/
1.238     brouard  7920:   /* 10eme Graphics of probabilities or incidences using written MLE parameters */
                   7921:   fprintf(ficgp,"\n##############\n#10eme Graphics of probabilities or incidences\n#############\n");
1.187     brouard  7922:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   7923:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   7924:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   7925:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   7926:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   7927:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   7928:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   7929:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   7930:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   7931:   fprintf(ficgp,"#     (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,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   7934:   fprintf(ficgp,"#\n");
1.223     brouard  7935:   for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
1.238     brouard  7936:     fprintf(ficgp,"#Number of graphics: first is logit, 2nd is probabilities, third is incidences per year\n");
1.237     brouard  7937:     fprintf(ficgp,"#model=%s \n",model);
1.238     brouard  7938:     fprintf(ficgp,"# Type of graphic ng=%d\n",ng);
1.264     brouard  7939:     fprintf(ficgp,"#   k1=1 to 2^%d=%d\n",cptcoveff,m);/* to be checked */
                   7940:     for(k1=1; k1 <=m; k1++)  /* For each combination of covariate */
1.237     brouard  7941:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.264     brouard  7942:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7943:        continue;
1.264     brouard  7944:       fprintf(ficgp,"\n\n# Combination of dummy  k1=%d which is ",k1);
                   7945:       strcpy(gplotlabel,"(");
1.276     brouard  7946:       /*sprintf(gplotlabel+strlen(gplotlabel)," Dummy combination %d ",k1);*/
1.264     brouard  7947:       for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   7948:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7949:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7950:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7951:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7952:        vlv= nbcode[Tvaraff[k]][lv];
                   7953:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   7954:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
                   7955:       }
1.237     brouard  7956:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7957:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7958:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7959:       }        
1.264     brouard  7960:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.237     brouard  7961:       fprintf(ficgp,"\n#\n");
1.264     brouard  7962:       fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),k1,ng,nres);
1.276     brouard  7963:       fprintf(ficgp,"\nset key outside ");
                   7964:       /* fprintf(ficgp,"\nset label \"%s\" at graph 1.2,0.5 center rotate font \"Helvetica,12\"\n",gplotlabel); */
                   7965:       fprintf(ficgp,"\nset title \"%s\" font \"Helvetica,12\"\n",gplotlabel);
1.223     brouard  7966:       fprintf(ficgp,"\nset ter svg size 640, 480 ");
                   7967:       if (ng==1){
                   7968:        fprintf(ficgp,"\nset ylabel \"Value of the logit of the model\"\n"); /* exp(a12+b12*x) could be nice */
                   7969:        fprintf(ficgp,"\nunset log y");
                   7970:       }else if (ng==2){
                   7971:        fprintf(ficgp,"\nset ylabel \"Probability\"\n");
                   7972:        fprintf(ficgp,"\nset log y");
                   7973:       }else if (ng==3){
                   7974:        fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
                   7975:        fprintf(ficgp,"\nset log y");
                   7976:       }else
                   7977:        fprintf(ficgp,"\nunset title ");
                   7978:       fprintf(ficgp,"\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
                   7979:       i=1;
                   7980:       for(k2=1; k2<=nlstate; k2++) {
                   7981:        k3=i;
                   7982:        for(k=1; k<=(nlstate+ndeath); k++) {
                   7983:          if (k != k2){
                   7984:            switch( ng) {
                   7985:            case 1:
                   7986:              if(nagesqr==0)
                   7987:                fprintf(ficgp," p%d+p%d*x",i,i+1);
                   7988:              else /* nagesqr =1 */
                   7989:                fprintf(ficgp," p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   7990:              break;
                   7991:            case 2: /* ng=2 */
                   7992:              if(nagesqr==0)
                   7993:                fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   7994:              else /* nagesqr =1 */
                   7995:                fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   7996:              break;
                   7997:            case 3:
                   7998:              if(nagesqr==0)
                   7999:                fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   8000:              else /* nagesqr =1 */
                   8001:                fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                   8002:              break;
                   8003:            }
                   8004:            ij=1;/* To be checked else nbcode[0][0] wrong */
1.237     brouard  8005:            ijp=1; /* product no age */
                   8006:            /* for(j=3; j <=ncovmodel-nagesqr; j++) { */
                   8007:            for(j=1; j <=cptcovt; j++) { /* For each covariate of the simplified model */
1.223     brouard  8008:              /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
1.268     brouard  8009:              if(cptcovage >0){ /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
                   8010:                if(j==Tage[ij]) { /* Product by age  To be looked at!!*/
                   8011:                  if(ij <=cptcovage) { /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
                   8012:                    if(DummyV[j]==0){
                   8013:                      fprintf(ficgp,"+p%d*%d*x",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]);;
                   8014:                    }else{ /* quantitative */
                   8015:                      fprintf(ficgp,"+p%d*%f*x",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /* Tqinvresult in decoderesult */
                   8016:                      /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
                   8017:                    }
                   8018:                    ij++;
1.237     brouard  8019:                  }
1.268     brouard  8020:                } 
                   8021:              }else if(cptcovprod >0){
                   8022:                if(j==Tprod[ijp]) { /* */ 
                   8023:                  /* printf("Tprod[%d]=%d, j=%d\n", ij, Tprod[ijp], j); */
                   8024:                  if(ijp <=cptcovprod) { /* Product */
                   8025:                    if(DummyV[Tvard[ijp][1]]==0){/* Vn is dummy */
                   8026:                      if(DummyV[Tvard[ijp][2]]==0){/* Vn and Vm are dummy */
                   8027:                        /* 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)]); */
                   8028:                        fprintf(ficgp,"+p%d*%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tinvresult[nres][Tvard[ijp][2]]);
                   8029:                      }else{ /* Vn is dummy and Vm is quanti */
                   8030:                        /* fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,nbcode[Tvard[ijp][1]][codtabm(k1,j)],Tqinvresult[nres][Tvard[ijp][2]]); */
                   8031:                        fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
                   8032:                      }
                   8033:                    }else{ /* Vn*Vm Vn is quanti */
                   8034:                      if(DummyV[Tvard[ijp][2]]==0){
                   8035:                        fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][2]],Tqinvresult[nres][Tvard[ijp][1]]);
                   8036:                      }else{ /* Both quanti */
                   8037:                        fprintf(ficgp,"+p%d*%f*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
                   8038:                      }
1.237     brouard  8039:                    }
1.268     brouard  8040:                    ijp++;
1.237     brouard  8041:                  }
1.268     brouard  8042:                } /* end Tprod */
1.237     brouard  8043:              } else{  /* simple covariate */
1.264     brouard  8044:                /* fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,nbcode[Tvar[j]][codtabm(k1,j)]); /\* Valgrind bug nbcode *\/ */
1.237     brouard  8045:                if(Dummy[j]==0){
                   8046:                  fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]); /*  */
                   8047:                }else{ /* quantitative */
                   8048:                  fprintf(ficgp,"+p%d*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /* */
1.264     brouard  8049:                  /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
1.223     brouard  8050:                }
1.237     brouard  8051:              } /* end simple */
                   8052:            } /* end j */
1.223     brouard  8053:          }else{
                   8054:            i=i-ncovmodel;
                   8055:            if(ng !=1 ) /* For logit formula of log p11 is more difficult to get */
                   8056:              fprintf(ficgp," (1.");
                   8057:          }
1.227     brouard  8058:          
1.223     brouard  8059:          if(ng != 1){
                   8060:            fprintf(ficgp,")/(1");
1.227     brouard  8061:            
1.264     brouard  8062:            for(cpt=1; cpt <=nlstate; cpt++){ 
1.223     brouard  8063:              if(nagesqr==0)
1.264     brouard  8064:                fprintf(ficgp,"+exp(p%d+p%d*x",k3+(cpt-1)*ncovmodel,k3+(cpt-1)*ncovmodel+1);
1.223     brouard  8065:              else /* nagesqr =1 */
1.264     brouard  8066:                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  8067:               
1.223     brouard  8068:              ij=1;
                   8069:              for(j=3; j <=ncovmodel-nagesqr; j++){
1.268     brouard  8070:                 if(cptcovage >0){ 
                   8071:                   if((j-2)==Tage[ij]) { /* Bug valgrind */
                   8072:                     if(ij <=cptcovage) { /* Bug valgrind */
                   8073:                       fprintf(ficgp,"+p%d*%d*x",k3+(cpt-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(k1,j-2)]);
                   8074:                       /* fprintf(ficgp,"+p%d*%d*x",k3+(cpt-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
                   8075:                       ij++;
                   8076:                     }
                   8077:                   }
                   8078:                 }else
                   8079:                   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  8080:              }
                   8081:              fprintf(ficgp,")");
                   8082:            }
                   8083:            fprintf(ficgp,")");
                   8084:            if(ng ==2)
1.276     brouard  8085:              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  8086:            else /* ng= 3 */
1.276     brouard  8087:              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  8088:          }else{ /* end ng <> 1 */
                   8089:            if( k !=k2) /* logit p11 is hard to draw */
1.276     brouard  8090:              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  8091:          }
                   8092:          if ((k+k2)!= (nlstate*2+ndeath) && ng != 1)
                   8093:            fprintf(ficgp,",");
                   8094:          if (ng == 1 && k!=k2 && (k+k2)!= (nlstate*2+ndeath))
                   8095:            fprintf(ficgp,",");
                   8096:          i=i+ncovmodel;
                   8097:        } /* end k */
                   8098:       } /* end k2 */
1.276     brouard  8099:       /* fprintf(ficgp,"\n set out; unset label;set key default;\n"); */
                   8100:       fprintf(ficgp,"\n set out; unset title;set key default;\n");
1.264     brouard  8101:     } /* end k1 */
1.223     brouard  8102:   } /* end ng */
                   8103:   /* avoid: */
                   8104:   fflush(ficgp); 
1.126     brouard  8105: }  /* end gnuplot */
                   8106: 
                   8107: 
                   8108: /*************** Moving average **************/
1.219     brouard  8109: /* int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav, double bageout, double fageout){ */
1.222     brouard  8110:  int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav){
1.218     brouard  8111:    
1.222     brouard  8112:    int i, cpt, cptcod;
                   8113:    int modcovmax =1;
                   8114:    int mobilavrange, mob;
                   8115:    int iage=0;
1.288     brouard  8116:    int firstA1=0, firstA2=0;
1.222     brouard  8117: 
1.266     brouard  8118:    double sum=0., sumr=0.;
1.222     brouard  8119:    double age;
1.266     brouard  8120:    double *sumnewp, *sumnewm, *sumnewmr;
                   8121:    double *agemingood, *agemaxgood; 
                   8122:    double *agemingoodr, *agemaxgoodr; 
1.222     brouard  8123:   
                   8124:   
1.278     brouard  8125:    /* modcovmax=2*cptcoveff;  Max number of modalities. We suppose  */
                   8126:    /*             a covariate has 2 modalities, should be equal to ncovcombmax   */
1.222     brouard  8127: 
                   8128:    sumnewp = vector(1,ncovcombmax);
                   8129:    sumnewm = vector(1,ncovcombmax);
1.266     brouard  8130:    sumnewmr = vector(1,ncovcombmax);
1.222     brouard  8131:    agemingood = vector(1,ncovcombmax); 
1.266     brouard  8132:    agemingoodr = vector(1,ncovcombmax);        
1.222     brouard  8133:    agemaxgood = vector(1,ncovcombmax);
1.266     brouard  8134:    agemaxgoodr = vector(1,ncovcombmax);
1.222     brouard  8135: 
                   8136:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
1.266     brouard  8137:      sumnewm[cptcod]=0.; sumnewmr[cptcod]=0.;
1.222     brouard  8138:      sumnewp[cptcod]=0.;
1.266     brouard  8139:      agemingood[cptcod]=0, agemingoodr[cptcod]=0;
                   8140:      agemaxgood[cptcod]=0, agemaxgoodr[cptcod]=0;
1.222     brouard  8141:    }
                   8142:    if (cptcovn<1) ncovcombmax=1; /* At least 1 pass */
                   8143:   
1.266     brouard  8144:    if(mobilav==-1 || mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   8145:      if(mobilav==1 || mobilav==-1) mobilavrange=5; /* default */
1.222     brouard  8146:      else mobilavrange=mobilav;
                   8147:      for (age=bage; age<=fage; age++)
                   8148:        for (i=1; i<=nlstate;i++)
                   8149:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++)
                   8150:           mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8151:      /* We keep the original values on the extreme ages bage, fage and for 
                   8152:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   8153:        we use a 5 terms etc. until the borders are no more concerned. 
                   8154:      */ 
                   8155:      for (mob=3;mob <=mobilavrange;mob=mob+2){
                   8156:        for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
1.266     brouard  8157:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   8158:           sumnewm[cptcod]=0.;
                   8159:           for (i=1; i<=nlstate;i++){
1.222     brouard  8160:             mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                   8161:             for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   8162:               mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   8163:               mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                   8164:             }
                   8165:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
1.266     brouard  8166:             sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8167:           } /* end i */
                   8168:           if(sumnewm[cptcod] >1.e-3) mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/sumnewm[cptcod]; /* Rescaling to sum one */
                   8169:         } /* end cptcod */
1.222     brouard  8170:        }/* end age */
                   8171:      }/* end mob */
1.266     brouard  8172:    }else{
                   8173:      printf("Error internal in movingaverage, mobilav=%d.\n",mobilav);
1.222     brouard  8174:      return -1;
1.266     brouard  8175:    }
                   8176: 
                   8177:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){ /* for each combination */
1.222     brouard  8178:      /* for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ */
                   8179:      if(invalidvarcomb[cptcod]){
                   8180:        printf("\nCombination (%d) ignored because no cases \n",cptcod); 
                   8181:        continue;
                   8182:      }
1.219     brouard  8183: 
1.266     brouard  8184:      for (age=fage-(mob-1)/2; age>=bage+(mob-1)/2; age--){ /*looking for the youngest and oldest good age */
                   8185:        sumnewm[cptcod]=0.;
                   8186:        sumnewmr[cptcod]=0.;
                   8187:        for (i=1; i<=nlstate;i++){
                   8188:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8189:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8190:        }
                   8191:        if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8192:         agemingoodr[cptcod]=age;
                   8193:        }
                   8194:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8195:           agemingood[cptcod]=age;
                   8196:        }
                   8197:      } /* age */
                   8198:      for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ /*looking for the youngest and oldest good age */
1.222     brouard  8199:        sumnewm[cptcod]=0.;
1.266     brouard  8200:        sumnewmr[cptcod]=0.;
1.222     brouard  8201:        for (i=1; i<=nlstate;i++){
                   8202:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
1.266     brouard  8203:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8204:        }
                   8205:        if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8206:         agemaxgoodr[cptcod]=age;
1.222     brouard  8207:        }
                   8208:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
1.266     brouard  8209:         agemaxgood[cptcod]=age;
                   8210:        }
                   8211:      } /* age */
                   8212:      /* Thus we have agemingood and agemaxgood as well as goodr for raw (preobs) */
                   8213:      /* but they will change */
1.288     brouard  8214:      firstA1=0;firstA2=0;
1.266     brouard  8215:      for (age=fage-(mob-1)/2; age>=bage; age--){/* From oldest to youngest, filling up to the youngest */
                   8216:        sumnewm[cptcod]=0.;
                   8217:        sumnewmr[cptcod]=0.;
                   8218:        for (i=1; i<=nlstate;i++){
                   8219:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8220:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8221:        }
                   8222:        if(mobilav==-1){ /* Forcing raw ages if good else agemingood */
                   8223:         if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8224:           agemaxgoodr[cptcod]=age;  /* age min */
                   8225:           for (i=1; i<=nlstate;i++)
                   8226:             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8227:         }else{ /* bad we change the value with the values of good ages */
                   8228:           for (i=1; i<=nlstate;i++){
                   8229:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgoodr[cptcod]][i][cptcod];
                   8230:           } /* i */
                   8231:         } /* end bad */
                   8232:        }else{
                   8233:         if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8234:           agemaxgood[cptcod]=age;
                   8235:         }else{ /* bad we change the value with the values of good ages */
                   8236:           for (i=1; i<=nlstate;i++){
                   8237:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   8238:           } /* i */
                   8239:         } /* end bad */
                   8240:        }/* end else */
                   8241:        sum=0.;sumr=0.;
                   8242:        for (i=1; i<=nlstate;i++){
                   8243:         sum+=mobaverage[(int)age][i][cptcod];
                   8244:         sumr+=probs[(int)age][i][cptcod];
                   8245:        }
                   8246:        if(fabs(sum - 1.) > 1.e-3) { /* bad */
1.288     brouard  8247:         if(!firstA1){
                   8248:           firstA1=1;
                   8249:           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);
                   8250:         }
                   8251:         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  8252:        } /* end bad */
                   8253:        /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   8254:        if(fabs(sumr - 1.) > 1.e-3) { /* bad */
1.288     brouard  8255:         if(!firstA2){
                   8256:           firstA2=1;
                   8257:           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);
                   8258:         }
                   8259:         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  8260:        } /* end bad */
                   8261:      }/* age */
1.266     brouard  8262: 
                   8263:      for (age=bage+(mob-1)/2; age<=fage; age++){/* From youngest, finding the oldest wrong */
1.222     brouard  8264:        sumnewm[cptcod]=0.;
1.266     brouard  8265:        sumnewmr[cptcod]=0.;
1.222     brouard  8266:        for (i=1; i<=nlstate;i++){
                   8267:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
1.266     brouard  8268:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8269:        } 
                   8270:        if(mobilav==-1){ /* Forcing raw ages if good else agemingood */
                   8271:         if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good */
                   8272:           agemingoodr[cptcod]=age;
                   8273:           for (i=1; i<=nlstate;i++)
                   8274:             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8275:         }else{ /* bad we change the value with the values of good ages */
                   8276:           for (i=1; i<=nlstate;i++){
                   8277:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingoodr[cptcod]][i][cptcod];
                   8278:           } /* i */
                   8279:         } /* end bad */
                   8280:        }else{
                   8281:         if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8282:           agemingood[cptcod]=age;
                   8283:         }else{ /* bad */
                   8284:           for (i=1; i<=nlstate;i++){
                   8285:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   8286:           } /* i */
                   8287:         } /* end bad */
                   8288:        }/* end else */
                   8289:        sum=0.;sumr=0.;
                   8290:        for (i=1; i<=nlstate;i++){
                   8291:         sum+=mobaverage[(int)age][i][cptcod];
                   8292:         sumr+=mobaverage[(int)age][i][cptcod];
1.222     brouard  8293:        }
1.266     brouard  8294:        if(fabs(sum - 1.) > 1.e-3) { /* bad */
1.268     brouard  8295:         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  8296:        } /* end bad */
                   8297:        /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   8298:        if(fabs(sumr - 1.) > 1.e-3) { /* bad */
1.268     brouard  8299:         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  8300:        } /* end bad */
                   8301:      }/* age */
1.266     brouard  8302: 
1.222     brouard  8303:                
                   8304:      for (age=bage; age<=fage; age++){
1.235     brouard  8305:        /* printf("%d %d ", cptcod, (int)age); */
1.222     brouard  8306:        sumnewp[cptcod]=0.;
                   8307:        sumnewm[cptcod]=0.;
                   8308:        for (i=1; i<=nlstate;i++){
                   8309:         sumnewp[cptcod]+=probs[(int)age][i][cptcod];
                   8310:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8311:         /* printf("%.4f %.4f ",probs[(int)age][i][cptcod], mobaverage[(int)age][i][cptcod]); */
                   8312:        }
                   8313:        /* printf("%.4f %.4f \n",sumnewp[cptcod], sumnewm[cptcod]); */
                   8314:      }
                   8315:      /* printf("\n"); */
                   8316:      /* } */
1.266     brouard  8317: 
1.222     brouard  8318:      /* brutal averaging */
1.266     brouard  8319:      /* for (i=1; i<=nlstate;i++){ */
                   8320:      /*   for (age=1; age<=bage; age++){ */
                   8321:      /*         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
                   8322:      /*         /\* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); *\/ */
                   8323:      /*   }     */
                   8324:      /*   for (age=fage; age<=AGESUP; age++){ */
                   8325:      /*         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod]; */
                   8326:      /*         /\* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); *\/ */
                   8327:      /*   } */
                   8328:      /* } /\* end i status *\/ */
                   8329:      /* for (i=nlstate+1; i<=nlstate+ndeath;i++){ */
                   8330:      /*   for (age=1; age<=AGESUP; age++){ */
                   8331:      /*         /\*printf("i=%d, age=%d, cptcod=%d\n",i, (int)age, cptcod);*\/ */
                   8332:      /*         mobaverage[(int)age][i][cptcod]=0.; */
                   8333:      /*   } */
                   8334:      /* } */
1.222     brouard  8335:    }/* end cptcod */
1.266     brouard  8336:    free_vector(agemaxgoodr,1, ncovcombmax);
                   8337:    free_vector(agemaxgood,1, ncovcombmax);
                   8338:    free_vector(agemingood,1, ncovcombmax);
                   8339:    free_vector(agemingoodr,1, ncovcombmax);
                   8340:    free_vector(sumnewmr,1, ncovcombmax);
1.222     brouard  8341:    free_vector(sumnewm,1, ncovcombmax);
                   8342:    free_vector(sumnewp,1, ncovcombmax);
                   8343:    return 0;
                   8344:  }/* End movingaverage */
1.218     brouard  8345:  
1.126     brouard  8346: 
1.296     brouard  8347:  
1.126     brouard  8348: /************** Forecasting ******************/
1.296     brouard  8349: /* 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)*/
                   8350: 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){
                   8351:   /* dateintemean, mean date of interviews
                   8352:      dateprojd, year, month, day of starting projection 
                   8353:      dateprojf date of end of projection;year of end of projection (same day and month as proj1).
1.126     brouard  8354:      agemin, agemax range of age
                   8355:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   8356:   */
1.296     brouard  8357:   /* double anprojd, mprojd, jprojd; */
                   8358:   /* double anprojf, mprojf, jprojf; */
1.267     brouard  8359:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
1.126     brouard  8360:   double agec; /* generic age */
1.296     brouard  8361:   double agelim, ppij, yp,yp1,yp2;
1.126     brouard  8362:   double *popeffectif,*popcount;
                   8363:   double ***p3mat;
1.218     brouard  8364:   /* double ***mobaverage; */
1.126     brouard  8365:   char fileresf[FILENAMELENGTH];
                   8366: 
                   8367:   agelim=AGESUP;
1.211     brouard  8368:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   8369:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   8370:      We still use firstpass and lastpass as another selection.
                   8371:   */
1.214     brouard  8372:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   8373:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
1.126     brouard  8374:  
1.201     brouard  8375:   strcpy(fileresf,"F_"); 
                   8376:   strcat(fileresf,fileresu);
1.126     brouard  8377:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   8378:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   8379:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   8380:   }
1.235     brouard  8381:   printf("\nComputing forecasting: result on file '%s', please wait... \n", fileresf);
                   8382:   fprintf(ficlog,"\nComputing forecasting: result on file '%s', please wait... \n", fileresf);
1.126     brouard  8383: 
1.225     brouard  8384:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
1.126     brouard  8385: 
                   8386: 
                   8387:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8388:   if (stepm<=12) stepsize=1;
                   8389:   if(estepm < stepm){
                   8390:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   8391:   }
1.270     brouard  8392:   else{
                   8393:     hstepm=estepm;   
                   8394:   }
                   8395:   if(estepm > stepm){ /* Yes every two year */
                   8396:     stepsize=2;
                   8397:   }
1.296     brouard  8398:   hstepm=hstepm/stepm;
1.126     brouard  8399: 
1.296     brouard  8400:   
                   8401:   /* yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
                   8402:   /*                              fractional in yp1 *\/ */
                   8403:   /* aintmean=yp; */
                   8404:   /* yp2=modf((yp1*12),&yp); */
                   8405:   /* mintmean=yp; */
                   8406:   /* yp1=modf((yp2*30.5),&yp); */
                   8407:   /* jintmean=yp; */
                   8408:   /* if(jintmean==0) jintmean=1; */
                   8409:   /* if(mintmean==0) mintmean=1; */
1.126     brouard  8410: 
1.296     brouard  8411: 
                   8412:   /* date2dmy(dateintmean,&jintmean,&mintmean,&aintmean); */
                   8413:   /* date2dmy(dateprojd,&jprojd, &mprojd, &anprojd); */
                   8414:   /* date2dmy(dateprojf,&jprojf, &mprojf, &anprojf); */
1.227     brouard  8415:   i1=pow(2,cptcoveff);
1.126     brouard  8416:   if (cptcovn < 1){i1=1;}
                   8417:   
1.296     brouard  8418:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2); 
1.126     brouard  8419:   
                   8420:   fprintf(ficresf,"#****** Routine prevforecast **\n");
1.227     brouard  8421:   
1.126     brouard  8422: /*           if (h==(int)(YEARM*yearp)){ */
1.235     brouard  8423:   for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8424:   for(k=1; k<=i1;k++){
1.253     brouard  8425:     if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  8426:       continue;
1.227     brouard  8427:     if(invalidvarcomb[k]){
                   8428:       printf("\nCombination (%d) projection ignored because no cases \n",k); 
                   8429:       continue;
                   8430:     }
                   8431:     fprintf(ficresf,"\n#****** hpijx=probability over h years, hp.jx is weighted by observed prev \n#");
                   8432:     for(j=1;j<=cptcoveff;j++) {
                   8433:       fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8434:     }
1.235     brouard  8435:     for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.238     brouard  8436:       fprintf(ficresf," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.235     brouard  8437:     }
1.227     brouard  8438:     fprintf(ficresf," yearproj age");
                   8439:     for(j=1; j<=nlstate+ndeath;j++){ 
                   8440:       for(i=1; i<=nlstate;i++)               
                   8441:        fprintf(ficresf," p%d%d",i,j);
                   8442:       fprintf(ficresf," wp.%d",j);
                   8443:     }
1.296     brouard  8444:     for (yearp=0; yearp<=(anprojf-anprojd);yearp +=stepsize) {
1.227     brouard  8445:       fprintf(ficresf,"\n");
1.296     brouard  8446:       fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jprojd,mprojd,anprojd+yearp);   
1.270     brouard  8447:       /* for (agec=fage; agec>=(ageminpar-1); agec--){  */
                   8448:       for (agec=fage; agec>=(bage); agec--){ 
1.227     brouard  8449:        nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   8450:        nhstepm = nhstepm/hstepm; 
                   8451:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8452:        oldm=oldms;savm=savms;
1.268     brouard  8453:        /* We compute pii at age agec over nhstepm);*/
1.235     brouard  8454:        hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k,nres);
1.268     brouard  8455:        /* Then we print p3mat for h corresponding to the right agec+h*stepms=yearp */
1.227     brouard  8456:        for (h=0; h<=nhstepm; h++){
                   8457:          if (h*hstepm/YEARM*stepm ==yearp) {
1.268     brouard  8458:            break;
                   8459:          }
                   8460:        }
                   8461:        fprintf(ficresf,"\n");
                   8462:        for(j=1;j<=cptcoveff;j++) 
                   8463:          fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.296     brouard  8464:        fprintf(ficresf,"%.f %.f ",anprojd+yearp,agec+h*hstepm/YEARM*stepm);
1.268     brouard  8465:        
                   8466:        for(j=1; j<=nlstate+ndeath;j++) {
                   8467:          ppij=0.;
                   8468:          for(i=1; i<=nlstate;i++) {
1.278     brouard  8469:            if (mobilav>=1)
                   8470:             ppij=ppij+p3mat[i][j][h]*prev[(int)agec][i][k];
                   8471:            else { /* even if mobilav==-1 we use mobaverage, probs may not sums to 1 */
                   8472:                ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k];
                   8473:            }
1.268     brouard  8474:            fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   8475:          } /* end i */
                   8476:          fprintf(ficresf," %.3f", ppij);
                   8477:        }/* end j */
1.227     brouard  8478:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8479:       } /* end agec */
1.266     brouard  8480:       /* diffyear=(int) anproj1+yearp-ageminpar-1; */
                   8481:       /*printf("Prevforecast %d+%d-%d=diffyear=%d\n",(int) anproj1, (int)yearp,(int)ageminpar,(int) anproj1-(int)ageminpar);*/
1.227     brouard  8482:     } /* end yearp */
                   8483:   } /* end  k */
1.219     brouard  8484:        
1.126     brouard  8485:   fclose(ficresf);
1.215     brouard  8486:   printf("End of Computing forecasting \n");
                   8487:   fprintf(ficlog,"End of Computing forecasting\n");
                   8488: 
1.126     brouard  8489: }
                   8490: 
1.269     brouard  8491: /************** Back Forecasting ******************/
1.296     brouard  8492:  /* 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){ */
                   8493:  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){
                   8494:   /* back1, year, month, day of starting backprojection
1.267     brouard  8495:      agemin, agemax range of age
                   8496:      dateprev1 dateprev2 range of dates during which prevalence is computed
1.269     brouard  8497:      anback2 year of end of backprojection (same day and month as back1).
                   8498:      prevacurrent and prev are prevalences.
1.267     brouard  8499:   */
                   8500:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
                   8501:   double agec; /* generic age */
1.296     brouard  8502:   double agelim, ppij, ppi, yp,yp1,yp2,jintmean,mintmean,aintmean;
1.267     brouard  8503:   double *popeffectif,*popcount;
                   8504:   double ***p3mat;
                   8505:   /* double ***mobaverage; */
                   8506:   char fileresfb[FILENAMELENGTH];
                   8507:  
1.268     brouard  8508:   agelim=AGEINF;
1.267     brouard  8509:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   8510:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   8511:      We still use firstpass and lastpass as another selection.
                   8512:   */
                   8513:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   8514:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
                   8515: 
                   8516:   /*Do we need to compute prevalence again?*/
                   8517: 
                   8518:   /* prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
                   8519:   
                   8520:   strcpy(fileresfb,"FB_");
                   8521:   strcat(fileresfb,fileresu);
                   8522:   if((ficresfb=fopen(fileresfb,"w"))==NULL) {
                   8523:     printf("Problem with back forecast resultfile: %s\n", fileresfb);
                   8524:     fprintf(ficlog,"Problem with back forecast resultfile: %s\n", fileresfb);
                   8525:   }
                   8526:   printf("\nComputing back forecasting: result on file '%s', please wait... \n", fileresfb);
                   8527:   fprintf(ficlog,"\nComputing back forecasting: result on file '%s', please wait... \n", fileresfb);
                   8528:   
                   8529:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   8530:   
                   8531:    
                   8532:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8533:   if (stepm<=12) stepsize=1;
                   8534:   if(estepm < stepm){
                   8535:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   8536:   }
1.270     brouard  8537:   else{
                   8538:     hstepm=estepm;   
                   8539:   }
                   8540:   if(estepm >= stepm){ /* Yes every two year */
                   8541:     stepsize=2;
                   8542:   }
1.267     brouard  8543:   
                   8544:   hstepm=hstepm/stepm;
1.296     brouard  8545:   /* yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
                   8546:   /*                              fractional in yp1 *\/ */
                   8547:   /* aintmean=yp; */
                   8548:   /* yp2=modf((yp1*12),&yp); */
                   8549:   /* mintmean=yp; */
                   8550:   /* yp1=modf((yp2*30.5),&yp); */
                   8551:   /* jintmean=yp; */
                   8552:   /* if(jintmean==0) jintmean=1; */
                   8553:   /* if(mintmean==0) jintmean=1; */
1.267     brouard  8554:   
                   8555:   i1=pow(2,cptcoveff);
                   8556:   if (cptcovn < 1){i1=1;}
                   8557:   
1.296     brouard  8558:   fprintf(ficresfb,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2);
                   8559:   printf("# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2);
1.267     brouard  8560:   
                   8561:   fprintf(ficresfb,"#****** Routine prevbackforecast **\n");
                   8562:   
                   8563:   for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8564:   for(k=1; k<=i1;k++){
                   8565:     if(i1 != 1 && TKresult[nres]!= k)
                   8566:       continue;
                   8567:     if(invalidvarcomb[k]){
                   8568:       printf("\nCombination (%d) projection ignored because no cases \n",k); 
                   8569:       continue;
                   8570:     }
1.268     brouard  8571:     fprintf(ficresfb,"\n#****** hbijx=probability over h years, hb.jx is weighted by observed prev \n#");
1.267     brouard  8572:     for(j=1;j<=cptcoveff;j++) {
                   8573:       fprintf(ficresfb," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8574:     }
                   8575:     for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   8576:       fprintf(ficresf," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   8577:     }
                   8578:     fprintf(ficresfb," yearbproj age");
                   8579:     for(j=1; j<=nlstate+ndeath;j++){
                   8580:       for(i=1; i<=nlstate;i++)
1.268     brouard  8581:        fprintf(ficresfb," b%d%d",i,j);
                   8582:       fprintf(ficresfb," b.%d",j);
1.267     brouard  8583:     }
1.296     brouard  8584:     for (yearp=0; yearp>=(anbackf-anbackd);yearp -=stepsize) {
1.267     brouard  8585:       /* for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {  */
                   8586:       fprintf(ficresfb,"\n");
1.296     brouard  8587:       fprintf(ficresfb,"\n# Back Forecasting at date %.lf/%.lf/%.lf ",jbackd,mbackd,anbackd+yearp);
1.273     brouard  8588:       /* printf("\n# Back Forecasting at date %.lf/%.lf/%.lf ",jback1,mback1,anback1+yearp); */
1.270     brouard  8589:       /* for (agec=bage; agec<=agemax-1; agec++){  /\* testing *\/ */
                   8590:       for (agec=bage; agec<=fage; agec++){  /* testing */
1.268     brouard  8591:        /* We compute bij at age agec over nhstepm, nhstepm decreases when agec increases because of agemax;*/
1.271     brouard  8592:        nhstepm=(int) (agec-agelim) *YEARM/stepm;/*     nhstepm=(int) rint((agec-agelim)*YEARM/stepm);*/
1.267     brouard  8593:        nhstepm = nhstepm/hstepm;
                   8594:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8595:        oldm=oldms;savm=savms;
1.268     brouard  8596:        /* computes hbxij at age agec over 1 to nhstepm */
1.271     brouard  8597:        /* printf("####prevbackforecast debug  agec=%.2f nhstepm=%d\n",agec, nhstepm);fflush(stdout); */
1.267     brouard  8598:        hbxij(p3mat,nhstepm,agec,hstepm,p,prevacurrent,nlstate,stepm, k, nres);
1.268     brouard  8599:        /* hpxij(p3mat,nhstepm,agec,hstepm,p,             nlstate,stepm,oldm,savm, k,nres); */
                   8600:        /* Then we print p3mat for h corresponding to the right agec+h*stepms=yearp */
                   8601:        /* printf(" agec=%.2f\n",agec);fflush(stdout); */
1.267     brouard  8602:        for (h=0; h<=nhstepm; h++){
1.268     brouard  8603:          if (h*hstepm/YEARM*stepm ==-yearp) {
                   8604:            break;
                   8605:          }
                   8606:        }
                   8607:        fprintf(ficresfb,"\n");
                   8608:        for(j=1;j<=cptcoveff;j++)
                   8609:          fprintf(ficresfb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.296     brouard  8610:        fprintf(ficresfb,"%.f %.f ",anbackd+yearp,agec-h*hstepm/YEARM*stepm);
1.268     brouard  8611:        for(i=1; i<=nlstate+ndeath;i++) {
                   8612:          ppij=0.;ppi=0.;
                   8613:          for(j=1; j<=nlstate;j++) {
                   8614:            /* if (mobilav==1) */
1.269     brouard  8615:            ppij=ppij+p3mat[i][j][h]*prevacurrent[(int)agec][j][k];
                   8616:            ppi=ppi+prevacurrent[(int)agec][j][k];
                   8617:            /* ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][j][k]; */
                   8618:            /* ppi=ppi+mobaverage[(int)agec][j][k]; */
1.267     brouard  8619:              /* else { */
                   8620:              /*        ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k]; */
                   8621:              /* } */
1.268     brouard  8622:            fprintf(ficresfb," %.3f", p3mat[i][j][h]);
                   8623:          } /* end j */
                   8624:          if(ppi <0.99){
                   8625:            printf("Error in prevbackforecast, prevalence doesn't sum to 1 for state %d: %3f\n",i, ppi);
                   8626:            fprintf(ficlog,"Error in prevbackforecast, prevalence doesn't sum to 1 for state %d: %3f\n",i, ppi);
                   8627:          }
                   8628:          fprintf(ficresfb," %.3f", ppij);
                   8629:        }/* end j */
1.267     brouard  8630:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8631:       } /* end agec */
                   8632:     } /* end yearp */
                   8633:   } /* end k */
1.217     brouard  8634:   
1.267     brouard  8635:   /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
1.217     brouard  8636:   
1.267     brouard  8637:   fclose(ficresfb);
                   8638:   printf("End of Computing Back forecasting \n");
                   8639:   fprintf(ficlog,"End of Computing Back forecasting\n");
1.218     brouard  8640:        
1.267     brouard  8641: }
1.217     brouard  8642: 
1.269     brouard  8643: /* Variance of prevalence limit: varprlim */
                   8644:  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  8645:     /*------- Variance of forward period (stable) prevalence------*/   
1.269     brouard  8646:  
                   8647:    char fileresvpl[FILENAMELENGTH];  
                   8648:    FILE *ficresvpl;
                   8649:    double **oldm, **savm;
                   8650:    double **varpl; /* Variances of prevalence limits by age */   
                   8651:    int i1, k, nres, j ;
                   8652:    
                   8653:     strcpy(fileresvpl,"VPL_");
                   8654:     strcat(fileresvpl,fileresu);
                   8655:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
1.288     brouard  8656:       printf("Problem with variance of forward period (stable) prevalence  resultfile: %s\n", fileresvpl);
1.269     brouard  8657:       exit(0);
                   8658:     }
1.288     brouard  8659:     printf("Computing Variance-covariance of forward period (stable) prevalence: file '%s' ...", fileresvpl);fflush(stdout);
                   8660:     fprintf(ficlog, "Computing Variance-covariance of forward period (stable) prevalence: file '%s' ...", fileresvpl);fflush(ficlog);
1.269     brouard  8661:     
                   8662:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   8663:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   8664:     
                   8665:     i1=pow(2,cptcoveff);
                   8666:     if (cptcovn < 1){i1=1;}
                   8667: 
                   8668:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8669:     for(k=1; k<=i1;k++){
                   8670:       if(i1 != 1 && TKresult[nres]!= k)
                   8671:        continue;
                   8672:       fprintf(ficresvpl,"\n#****** ");
                   8673:       printf("\n#****** ");
                   8674:       fprintf(ficlog,"\n#****** ");
                   8675:       for(j=1;j<=cptcoveff;j++) {
                   8676:        fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8677:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8678:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8679:       }
                   8680:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   8681:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8682:        fprintf(ficresvpl," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8683:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8684:       }        
                   8685:       fprintf(ficresvpl,"******\n");
                   8686:       printf("******\n");
                   8687:       fprintf(ficlog,"******\n");
                   8688:       
                   8689:       varpl=matrix(1,nlstate,(int) bage, (int) fage);
                   8690:       oldm=oldms;savm=savms;
                   8691:       varprevlim(fileresvpl, ficresvpl, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, ncvyearp, k, strstart, nres);
                   8692:       free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
                   8693:       /*}*/
                   8694:     }
                   8695:     
                   8696:     fclose(ficresvpl);
1.288     brouard  8697:     printf("done variance-covariance of forward period prevalence\n");fflush(stdout);
                   8698:     fprintf(ficlog,"done variance-covariance of forward period prevalence\n");fflush(ficlog);
1.269     brouard  8699: 
                   8700:  }
                   8701: /* Variance of back prevalence: varbprlim */
                   8702:  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){
                   8703:       /*------- Variance of back (stable) prevalence------*/
                   8704: 
                   8705:    char fileresvbl[FILENAMELENGTH];  
                   8706:    FILE  *ficresvbl;
                   8707: 
                   8708:    double **oldm, **savm;
                   8709:    double **varbpl; /* Variances of back prevalence limits by age */   
                   8710:    int i1, k, nres, j ;
                   8711: 
                   8712:    strcpy(fileresvbl,"VBL_");
                   8713:    strcat(fileresvbl,fileresu);
                   8714:    if((ficresvbl=fopen(fileresvbl,"w"))==NULL) {
                   8715:      printf("Problem with variance of back (stable) prevalence  resultfile: %s\n", fileresvbl);
                   8716:      exit(0);
                   8717:    }
                   8718:    printf("Computing Variance-covariance of back (stable) prevalence: file '%s' ...", fileresvbl);fflush(stdout);
                   8719:    fprintf(ficlog, "Computing Variance-covariance of back (stable) prevalence: file '%s' ...", fileresvbl);fflush(ficlog);
                   8720:    
                   8721:    
                   8722:    i1=pow(2,cptcoveff);
                   8723:    if (cptcovn < 1){i1=1;}
                   8724:    
                   8725:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8726:      for(k=1; k<=i1;k++){
                   8727:        if(i1 != 1 && TKresult[nres]!= k)
                   8728:         continue;
                   8729:        fprintf(ficresvbl,"\n#****** ");
                   8730:        printf("\n#****** ");
                   8731:        fprintf(ficlog,"\n#****** ");
                   8732:        for(j=1;j<=cptcoveff;j++) {
                   8733:         fprintf(ficresvbl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8734:         fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8735:         printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8736:        }
                   8737:        for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   8738:         printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8739:         fprintf(ficresvbl," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8740:         fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8741:        }
                   8742:        fprintf(ficresvbl,"******\n");
                   8743:        printf("******\n");
                   8744:        fprintf(ficlog,"******\n");
                   8745:        
                   8746:        varbpl=matrix(1,nlstate,(int) bage, (int) fage);
                   8747:        oldm=oldms;savm=savms;
                   8748:        
                   8749:        varbrevlim(fileresvbl, ficresvbl, varbpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, bprlim, ftolpl, mobilavproj, ncvyearp, k, strstart, nres);
                   8750:        free_matrix(varbpl,1,nlstate,(int) bage, (int)fage);
                   8751:        /*}*/
                   8752:      }
                   8753:    
                   8754:    fclose(ficresvbl);
                   8755:    printf("done variance-covariance of back prevalence\n");fflush(stdout);
                   8756:    fprintf(ficlog,"done variance-covariance of back prevalence\n");fflush(ficlog);
                   8757: 
                   8758:  } /* End of varbprlim */
                   8759: 
1.126     brouard  8760: /************** Forecasting *****not tested NB*************/
1.227     brouard  8761: /* 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  8762:   
1.227     brouard  8763: /*   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h; */
                   8764: /*   int *popage; */
                   8765: /*   double calagedatem, agelim, kk1, kk2; */
                   8766: /*   double *popeffectif,*popcount; */
                   8767: /*   double ***p3mat,***tabpop,***tabpopprev; */
                   8768: /*   /\* double ***mobaverage; *\/ */
                   8769: /*   char filerespop[FILENAMELENGTH]; */
1.126     brouard  8770: 
1.227     brouard  8771: /*   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8772: /*   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8773: /*   agelim=AGESUP; */
                   8774: /*   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM; */
1.126     brouard  8775:   
1.227     brouard  8776: /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
1.126     brouard  8777:   
                   8778:   
1.227     brouard  8779: /*   strcpy(filerespop,"POP_");  */
                   8780: /*   strcat(filerespop,fileresu); */
                   8781: /*   if((ficrespop=fopen(filerespop,"w"))==NULL) { */
                   8782: /*     printf("Problem with forecast resultfile: %s\n", filerespop); */
                   8783: /*     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop); */
                   8784: /*   } */
                   8785: /*   printf("Computing forecasting: result on file '%s' \n", filerespop); */
                   8786: /*   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop); */
1.126     brouard  8787: 
1.227     brouard  8788: /*   if (cptcoveff==0) ncodemax[cptcoveff]=1; */
1.126     brouard  8789: 
1.227     brouard  8790: /*   /\* if (mobilav!=0) { *\/ */
                   8791: /*   /\*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   8792: /*   /\*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ *\/ */
                   8793: /*   /\*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   8794: /*   /\*     printf(" Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   8795: /*   /\*   } *\/ */
                   8796: /*   /\* } *\/ */
1.126     brouard  8797: 
1.227     brouard  8798: /*   stepsize=(int) (stepm+YEARM-1)/YEARM; */
                   8799: /*   if (stepm<=12) stepsize=1; */
1.126     brouard  8800:   
1.227     brouard  8801: /*   agelim=AGESUP; */
1.126     brouard  8802:   
1.227     brouard  8803: /*   hstepm=1; */
                   8804: /*   hstepm=hstepm/stepm;  */
1.218     brouard  8805:        
1.227     brouard  8806: /*   if (popforecast==1) { */
                   8807: /*     if((ficpop=fopen(popfile,"r"))==NULL) { */
                   8808: /*       printf("Problem with population file : %s\n",popfile);exit(0); */
                   8809: /*       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0); */
                   8810: /*     }  */
                   8811: /*     popage=ivector(0,AGESUP); */
                   8812: /*     popeffectif=vector(0,AGESUP); */
                   8813: /*     popcount=vector(0,AGESUP); */
1.126     brouard  8814:     
1.227     brouard  8815: /*     i=1;    */
                   8816: /*     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1; */
1.218     brouard  8817:     
1.227     brouard  8818: /*     imx=i; */
                   8819: /*     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i]; */
                   8820: /*   } */
1.218     brouard  8821:   
1.227     brouard  8822: /*   for(cptcov=1,k=0;cptcov<=i2;cptcov++){ */
                   8823: /*     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ */
                   8824: /*       k=k+1; */
                   8825: /*       fprintf(ficrespop,"\n#******"); */
                   8826: /*       for(j=1;j<=cptcoveff;j++) { */
                   8827: /*     fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   8828: /*       } */
                   8829: /*       fprintf(ficrespop,"******\n"); */
                   8830: /*       fprintf(ficrespop,"# Age"); */
                   8831: /*       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j); */
                   8832: /*       if (popforecast==1)  fprintf(ficrespop," [Population]"); */
1.126     brouard  8833:       
1.227     brouard  8834: /*       for (cpt=0; cpt<=0;cpt++) {  */
                   8835: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
1.126     brouard  8836:        
1.227     brouard  8837: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   8838: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   8839: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  8840:          
1.227     brouard  8841: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8842: /*       oldm=oldms;savm=savms; */
                   8843: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
1.218     brouard  8844:          
1.227     brouard  8845: /*       for (h=0; h<=nhstepm; h++){ */
                   8846: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   8847: /*           fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   8848: /*         }  */
                   8849: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   8850: /*           kk1=0.;kk2=0; */
                   8851: /*           for(i=1; i<=nlstate;i++) {               */
                   8852: /*             if (mobilav==1)  */
                   8853: /*               kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod]; */
                   8854: /*             else { */
                   8855: /*               kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod]; */
                   8856: /*             } */
                   8857: /*           } */
                   8858: /*           if (h==(int)(calagedatem+12*cpt)){ */
                   8859: /*             tabpop[(int)(agedeb)][j][cptcod]=kk1; */
                   8860: /*             /\*fprintf(ficrespop," %.3f", kk1); */
                   8861: /*               if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*\/ */
                   8862: /*           } */
                   8863: /*         } */
                   8864: /*         for(i=1; i<=nlstate;i++){ */
                   8865: /*           kk1=0.; */
                   8866: /*           for(j=1; j<=nlstate;j++){ */
                   8867: /*             kk1= kk1+tabpop[(int)(agedeb)][j][cptcod];  */
                   8868: /*           } */
                   8869: /*           tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)]; */
                   8870: /*         } */
1.218     brouard  8871:            
1.227     brouard  8872: /*         if (h==(int)(calagedatem+12*cpt)) */
                   8873: /*           for(j=1; j<=nlstate;j++)  */
                   8874: /*             fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]); */
                   8875: /*       } */
                   8876: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8877: /*     } */
                   8878: /*       } */
1.218     brouard  8879:       
1.227     brouard  8880: /*       /\******\/ */
1.218     brouard  8881:       
1.227     brouard  8882: /*       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) {  */
                   8883: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
                   8884: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   8885: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   8886: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  8887:          
1.227     brouard  8888: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8889: /*       oldm=oldms;savm=savms; */
                   8890: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
                   8891: /*       for (h=0; h<=nhstepm; h++){ */
                   8892: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   8893: /*           fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   8894: /*         }  */
                   8895: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   8896: /*           kk1=0.;kk2=0; */
                   8897: /*           for(i=1; i<=nlstate;i++) {               */
                   8898: /*             kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];     */
                   8899: /*           } */
                   8900: /*           if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);         */
                   8901: /*         } */
                   8902: /*       } */
                   8903: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8904: /*     } */
                   8905: /*       } */
                   8906: /*     }  */
                   8907: /*   } */
1.218     brouard  8908:   
1.227     brouard  8909: /*   /\* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
1.218     brouard  8910:   
1.227     brouard  8911: /*   if (popforecast==1) { */
                   8912: /*     free_ivector(popage,0,AGESUP); */
                   8913: /*     free_vector(popeffectif,0,AGESUP); */
                   8914: /*     free_vector(popcount,0,AGESUP); */
                   8915: /*   } */
                   8916: /*   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8917: /*   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8918: /*   fclose(ficrespop); */
                   8919: /* } /\* End of popforecast *\/ */
1.218     brouard  8920:  
1.126     brouard  8921: int fileappend(FILE *fichier, char *optionfich)
                   8922: {
                   8923:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   8924:     printf("Problem with file: %s\n", optionfich);
                   8925:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   8926:     return (0);
                   8927:   }
                   8928:   fflush(fichier);
                   8929:   return (1);
                   8930: }
                   8931: 
                   8932: 
                   8933: /**************** function prwizard **********************/
                   8934: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   8935: {
                   8936: 
                   8937:   /* Wizard to print covariance matrix template */
                   8938: 
1.164     brouard  8939:   char ca[32], cb[32];
                   8940:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  8941:   int numlinepar;
                   8942: 
                   8943:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   8944:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   8945:   for(i=1; i <=nlstate; i++){
                   8946:     jj=0;
                   8947:     for(j=1; j <=nlstate+ndeath; j++){
                   8948:       if(j==i) continue;
                   8949:       jj++;
                   8950:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   8951:       printf("%1d%1d",i,j);
                   8952:       fprintf(ficparo,"%1d%1d",i,j);
                   8953:       for(k=1; k<=ncovmodel;k++){
                   8954:        /*        printf(" %lf",param[i][j][k]); */
                   8955:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   8956:        printf(" 0.");
                   8957:        fprintf(ficparo," 0.");
                   8958:       }
                   8959:       printf("\n");
                   8960:       fprintf(ficparo,"\n");
                   8961:     }
                   8962:   }
                   8963:   printf("# Scales (for hessian or gradient estimation)\n");
                   8964:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   8965:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   8966:   for(i=1; i <=nlstate; i++){
                   8967:     jj=0;
                   8968:     for(j=1; j <=nlstate+ndeath; j++){
                   8969:       if(j==i) continue;
                   8970:       jj++;
                   8971:       fprintf(ficparo,"%1d%1d",i,j);
                   8972:       printf("%1d%1d",i,j);
                   8973:       fflush(stdout);
                   8974:       for(k=1; k<=ncovmodel;k++){
                   8975:        /*      printf(" %le",delti3[i][j][k]); */
                   8976:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   8977:        printf(" 0.");
                   8978:        fprintf(ficparo," 0.");
                   8979:       }
                   8980:       numlinepar++;
                   8981:       printf("\n");
                   8982:       fprintf(ficparo,"\n");
                   8983:     }
                   8984:   }
                   8985:   printf("# Covariance matrix\n");
                   8986: /* # 121 Var(a12)\n\ */
                   8987: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   8988: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   8989: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   8990: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   8991: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   8992: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   8993: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   8994:   fflush(stdout);
                   8995:   fprintf(ficparo,"# Covariance matrix\n");
                   8996:   /* # 121 Var(a12)\n\ */
                   8997:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   8998:   /* #   ...\n\ */
                   8999:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   9000:   
                   9001:   for(itimes=1;itimes<=2;itimes++){
                   9002:     jj=0;
                   9003:     for(i=1; i <=nlstate; i++){
                   9004:       for(j=1; j <=nlstate+ndeath; j++){
                   9005:        if(j==i) continue;
                   9006:        for(k=1; k<=ncovmodel;k++){
                   9007:          jj++;
                   9008:          ca[0]= k+'a'-1;ca[1]='\0';
                   9009:          if(itimes==1){
                   9010:            printf("#%1d%1d%d",i,j,k);
                   9011:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   9012:          }else{
                   9013:            printf("%1d%1d%d",i,j,k);
                   9014:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   9015:            /*  printf(" %.5le",matcov[i][j]); */
                   9016:          }
                   9017:          ll=0;
                   9018:          for(li=1;li <=nlstate; li++){
                   9019:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   9020:              if(lj==li) continue;
                   9021:              for(lk=1;lk<=ncovmodel;lk++){
                   9022:                ll++;
                   9023:                if(ll<=jj){
                   9024:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   9025:                  if(ll<jj){
                   9026:                    if(itimes==1){
                   9027:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   9028:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   9029:                    }else{
                   9030:                      printf(" 0.");
                   9031:                      fprintf(ficparo," 0.");
                   9032:                    }
                   9033:                  }else{
                   9034:                    if(itimes==1){
                   9035:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   9036:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   9037:                    }else{
                   9038:                      printf(" 0.");
                   9039:                      fprintf(ficparo," 0.");
                   9040:                    }
                   9041:                  }
                   9042:                }
                   9043:              } /* end lk */
                   9044:            } /* end lj */
                   9045:          } /* end li */
                   9046:          printf("\n");
                   9047:          fprintf(ficparo,"\n");
                   9048:          numlinepar++;
                   9049:        } /* end k*/
                   9050:       } /*end j */
                   9051:     } /* end i */
                   9052:   } /* end itimes */
                   9053: 
                   9054: } /* end of prwizard */
                   9055: /******************* Gompertz Likelihood ******************************/
                   9056: double gompertz(double x[])
                   9057: { 
                   9058:   double A,B,L=0.0,sump=0.,num=0.;
                   9059:   int i,n=0; /* n is the size of the sample */
                   9060: 
1.220     brouard  9061:   for (i=1;i<=imx ; i++) {
1.126     brouard  9062:     sump=sump+weight[i];
                   9063:     /*    sump=sump+1;*/
                   9064:     num=num+1;
                   9065:   }
                   9066:  
                   9067:  
                   9068:   /* for (i=0; i<=imx; i++) 
                   9069:      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]);*/
                   9070: 
                   9071:   for (i=1;i<=imx ; i++)
                   9072:     {
                   9073:       if (cens[i] == 1 && wav[i]>1)
                   9074:        A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   9075:       
                   9076:       if (cens[i] == 0 && wav[i]>1)
                   9077:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                   9078:             +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
                   9079:       
                   9080:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   9081:       if (wav[i] > 1 ) { /* ??? */
                   9082:        L=L+A*weight[i];
                   9083:        /*      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]);*/
                   9084:       }
                   9085:     }
                   9086: 
                   9087:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   9088:  
                   9089:   return -2*L*num/sump;
                   9090: }
                   9091: 
1.136     brouard  9092: #ifdef GSL
                   9093: /******************* Gompertz_f Likelihood ******************************/
                   9094: double gompertz_f(const gsl_vector *v, void *params)
                   9095: { 
                   9096:   double A,B,LL=0.0,sump=0.,num=0.;
                   9097:   double *x= (double *) v->data;
                   9098:   int i,n=0; /* n is the size of the sample */
                   9099: 
                   9100:   for (i=0;i<=imx-1 ; i++) {
                   9101:     sump=sump+weight[i];
                   9102:     /*    sump=sump+1;*/
                   9103:     num=num+1;
                   9104:   }
                   9105:  
                   9106:  
                   9107:   /* for (i=0; i<=imx; i++) 
                   9108:      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]);*/
                   9109:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   9110:   for (i=1;i<=imx ; i++)
                   9111:     {
                   9112:       if (cens[i] == 1 && wav[i]>1)
                   9113:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   9114:       
                   9115:       if (cens[i] == 0 && wav[i]>1)
                   9116:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   9117:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   9118:       
                   9119:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   9120:       if (wav[i] > 1 ) { /* ??? */
                   9121:        LL=LL+A*weight[i];
                   9122:        /*      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]);*/
                   9123:       }
                   9124:     }
                   9125: 
                   9126:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   9127:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   9128:  
                   9129:   return -2*LL*num/sump;
                   9130: }
                   9131: #endif
                   9132: 
1.126     brouard  9133: /******************* Printing html file ***********/
1.201     brouard  9134: void printinghtmlmort(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  9135:                  int lastpass, int stepm, int weightopt, char model[],\
                   9136:                  int imx,  double p[],double **matcov,double agemortsup){
                   9137:   int i,k;
                   9138: 
                   9139:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   9140:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   9141:   for (i=1;i<=2;i++) 
                   9142:     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  9143:   fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
1.126     brouard  9144:   fprintf(fichtm,"</ul>");
                   9145: 
                   9146: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   9147: 
                   9148:  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>");
                   9149: 
                   9150:  for (k=agegomp;k<(agemortsup-2);k++) 
                   9151:    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]);
                   9152: 
                   9153:  
                   9154:   fflush(fichtm);
                   9155: }
                   9156: 
                   9157: /******************* Gnuplot file **************/
1.201     brouard  9158: void printinggnuplotmort(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
1.126     brouard  9159: 
                   9160:   char dirfileres[132],optfileres[132];
1.164     brouard  9161: 
1.126     brouard  9162:   int ng;
                   9163: 
                   9164: 
                   9165:   /*#ifdef windows */
                   9166:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   9167:     /*#endif */
                   9168: 
                   9169: 
                   9170:   strcpy(dirfileres,optionfilefiname);
                   9171:   strcpy(optfileres,"vpl");
1.199     brouard  9172:   fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
1.126     brouard  9173:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.199     brouard  9174:   fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
1.145     brouard  9175:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  9176:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   9177: 
                   9178: } 
                   9179: 
1.136     brouard  9180: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   9181: {
1.126     brouard  9182: 
1.136     brouard  9183:   /*-------- data file ----------*/
                   9184:   FILE *fic;
                   9185:   char dummy[]="                         ";
1.240     brouard  9186:   int i=0, j=0, n=0, iv=0, v;
1.223     brouard  9187:   int lstra;
1.136     brouard  9188:   int linei, month, year,iout;
                   9189:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  9190:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  9191:   char *stratrunc;
1.223     brouard  9192: 
1.240     brouard  9193:   DummyV=ivector(1,NCOVMAX); /* 1 to 3 */
                   9194:   FixedV=ivector(1,NCOVMAX); /* 1 to 3 */
1.126     brouard  9195: 
1.240     brouard  9196:   for(v=1; v <=ncovcol;v++){
                   9197:     DummyV[v]=0;
                   9198:     FixedV[v]=0;
                   9199:   }
                   9200:   for(v=ncovcol+1; v <=ncovcol+nqv;v++){
                   9201:     DummyV[v]=1;
                   9202:     FixedV[v]=0;
                   9203:   }
                   9204:   for(v=ncovcol+nqv+1; v <=ncovcol+nqv+ntv;v++){
                   9205:     DummyV[v]=0;
                   9206:     FixedV[v]=1;
                   9207:   }
                   9208:   for(v=ncovcol+nqv+ntv+1; v <=ncovcol+nqv+ntv+nqtv;v++){
                   9209:     DummyV[v]=1;
                   9210:     FixedV[v]=1;
                   9211:   }
                   9212:   for(v=1; v <=ncovcol+nqv+ntv+nqtv;v++){
                   9213:     printf("Covariate type in the data: V%d, DummyV(V%d)=%d, FixedV(V%d)=%d\n",v,v,DummyV[v],v,FixedV[v]);
                   9214:     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]);
                   9215:   }
1.126     brouard  9216: 
1.136     brouard  9217:   if((fic=fopen(datafile,"r"))==NULL)    {
1.218     brouard  9218:     printf("Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(stdout);
                   9219:     fprintf(ficlog,"Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(ficlog);return 1;
1.136     brouard  9220:   }
1.126     brouard  9221: 
1.136     brouard  9222:   i=1;
                   9223:   linei=0;
                   9224:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   9225:     linei=linei+1;
                   9226:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   9227:       if(line[j] == '\t')
                   9228:        line[j] = ' ';
                   9229:     }
                   9230:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   9231:       ;
                   9232:     };
                   9233:     line[j+1]=0;  /* Trims blanks at end of line */
                   9234:     if(line[0]=='#'){
                   9235:       fprintf(ficlog,"Comment line\n%s\n",line);
                   9236:       printf("Comment line\n%s\n",line);
                   9237:       continue;
                   9238:     }
                   9239:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  9240:     strcpy(line, linetmp);
1.223     brouard  9241:     
                   9242:     /* Loops on waves */
                   9243:     for (j=maxwav;j>=1;j--){
                   9244:       for (iv=nqtv;iv>=1;iv--){  /* Loop  on time varying quantitative variables */
1.238     brouard  9245:        cutv(stra, strb, line, ' '); 
                   9246:        if(strb[0]=='.') { /* Missing value */
                   9247:          lval=-1;
                   9248:          cotqvar[j][iv][i]=-1; /* 0.0/0.0 */
                   9249:          cotvar[j][ntv+iv][i]=-1; /* For performance reasons */
                   9250:          if(isalpha(strb[1])) { /* .m or .d Really Missing value */
                   9251:            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);
                   9252:            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);
                   9253:            return 1;
                   9254:          }
                   9255:        }else{
                   9256:          errno=0;
                   9257:          /* what_kind_of_number(strb); */
                   9258:          dval=strtod(strb,&endptr); 
                   9259:          /* if( strb[0]=='\0' || (*endptr != '\0')){ */
                   9260:          /* if(strb != endptr && *endptr == '\0') */
                   9261:          /*    dval=dlval; */
                   9262:          /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   9263:          if( strb[0]=='\0' || (*endptr != '\0')){
                   9264:            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);
                   9265:            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);
                   9266:            return 1;
                   9267:          }
                   9268:          cotqvar[j][iv][i]=dval; 
                   9269:          cotvar[j][ntv+iv][i]=dval; 
                   9270:        }
                   9271:        strcpy(line,stra);
1.223     brouard  9272:       }/* end loop ntqv */
1.225     brouard  9273:       
1.223     brouard  9274:       for (iv=ntv;iv>=1;iv--){  /* Loop  on time varying dummies */
1.238     brouard  9275:        cutv(stra, strb, line, ' '); 
                   9276:        if(strb[0]=='.') { /* Missing value */
                   9277:          lval=-1;
                   9278:        }else{
                   9279:          errno=0;
                   9280:          lval=strtol(strb,&endptr,10); 
                   9281:          /*    if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   9282:          if( strb[0]=='\0' || (*endptr != '\0')){
                   9283:            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);
                   9284:            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);
                   9285:            return 1;
                   9286:          }
                   9287:        }
                   9288:        if(lval <-1 || lval >1){
                   9289:          printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  9290:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9291:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.238     brouard  9292:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9293:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9294:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  9295:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.238     brouard  9296:  output of IMaCh is often meaningless.\n                               \
1.223     brouard  9297:  Exiting.\n",lval,linei, i,line,j);
1.238     brouard  9298:          fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  9299:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9300:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.238     brouard  9301:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9302:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9303:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  9304:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.238     brouard  9305:  output of IMaCh is often meaningless.\n                               \
1.223     brouard  9306:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.238     brouard  9307:          return 1;
                   9308:        }
                   9309:        cotvar[j][iv][i]=(double)(lval);
                   9310:        strcpy(line,stra);
1.223     brouard  9311:       }/* end loop ntv */
1.225     brouard  9312:       
1.223     brouard  9313:       /* Statuses  at wave */
1.137     brouard  9314:       cutv(stra, strb, line, ' '); 
1.223     brouard  9315:       if(strb[0]=='.') { /* Missing value */
1.238     brouard  9316:        lval=-1;
1.136     brouard  9317:       }else{
1.238     brouard  9318:        errno=0;
                   9319:        lval=strtol(strb,&endptr,10); 
                   9320:        /*      if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   9321:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9322:          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);
                   9323:          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);
                   9324:          return 1;
                   9325:        }
1.136     brouard  9326:       }
1.225     brouard  9327:       
1.136     brouard  9328:       s[j][i]=lval;
1.225     brouard  9329:       
1.223     brouard  9330:       /* Date of Interview */
1.136     brouard  9331:       strcpy(line,stra);
                   9332:       cutv(stra, strb,line,' ');
1.169     brouard  9333:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9334:       }
1.169     brouard  9335:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.225     brouard  9336:        month=99;
                   9337:        year=9999;
1.136     brouard  9338:       }else{
1.225     brouard  9339:        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);
                   9340:        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);
                   9341:        return 1;
1.136     brouard  9342:       }
                   9343:       anint[j][i]= (double) year; 
                   9344:       mint[j][i]= (double)month; 
                   9345:       strcpy(line,stra);
1.223     brouard  9346:     } /* End loop on waves */
1.225     brouard  9347:     
1.223     brouard  9348:     /* Date of death */
1.136     brouard  9349:     cutv(stra, strb,line,' '); 
1.169     brouard  9350:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9351:     }
1.169     brouard  9352:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  9353:       month=99;
                   9354:       year=9999;
                   9355:     }else{
1.141     brouard  9356:       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  9357:       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);
                   9358:       return 1;
1.136     brouard  9359:     }
                   9360:     andc[i]=(double) year; 
                   9361:     moisdc[i]=(double) month; 
                   9362:     strcpy(line,stra);
                   9363:     
1.223     brouard  9364:     /* Date of birth */
1.136     brouard  9365:     cutv(stra, strb,line,' '); 
1.169     brouard  9366:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9367:     }
1.169     brouard  9368:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  9369:       month=99;
                   9370:       year=9999;
                   9371:     }else{
1.141     brouard  9372:       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);
                   9373:       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  9374:       return 1;
1.136     brouard  9375:     }
                   9376:     if (year==9999) {
1.141     brouard  9377:       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);
                   9378:       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  9379:       return 1;
                   9380:       
1.136     brouard  9381:     }
                   9382:     annais[i]=(double)(year);
                   9383:     moisnais[i]=(double)(month); 
                   9384:     strcpy(line,stra);
1.225     brouard  9385:     
1.223     brouard  9386:     /* Sample weight */
1.136     brouard  9387:     cutv(stra, strb,line,' '); 
                   9388:     errno=0;
                   9389:     dval=strtod(strb,&endptr); 
                   9390:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  9391:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   9392:       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  9393:       fflush(ficlog);
                   9394:       return 1;
                   9395:     }
                   9396:     weight[i]=dval; 
                   9397:     strcpy(line,stra);
1.225     brouard  9398:     
1.223     brouard  9399:     for (iv=nqv;iv>=1;iv--){  /* Loop  on fixed quantitative variables */
                   9400:       cutv(stra, strb, line, ' '); 
                   9401:       if(strb[0]=='.') { /* Missing value */
1.225     brouard  9402:        lval=-1;
1.223     brouard  9403:       }else{
1.225     brouard  9404:        errno=0;
                   9405:        /* what_kind_of_number(strb); */
                   9406:        dval=strtod(strb,&endptr);
                   9407:        /* if(strb != endptr && *endptr == '\0') */
                   9408:        /*   dval=dlval; */
                   9409:        /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   9410:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9411:          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);
                   9412:          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);
                   9413:          return 1;
                   9414:        }
                   9415:        coqvar[iv][i]=dval; 
1.226     brouard  9416:        covar[ncovcol+iv][i]=dval; /* including qvar in standard covar for performance reasons */ 
1.223     brouard  9417:       }
                   9418:       strcpy(line,stra);
                   9419:     }/* end loop nqv */
1.136     brouard  9420:     
1.223     brouard  9421:     /* Covariate values */
1.136     brouard  9422:     for (j=ncovcol;j>=1;j--){
                   9423:       cutv(stra, strb,line,' '); 
1.223     brouard  9424:       if(strb[0]=='.') { /* Missing covariate value */
1.225     brouard  9425:        lval=-1;
1.136     brouard  9426:       }else{
1.225     brouard  9427:        errno=0;
                   9428:        lval=strtol(strb,&endptr,10); 
                   9429:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9430:          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);
                   9431:          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);
                   9432:          return 1;
                   9433:        }
1.136     brouard  9434:       }
                   9435:       if(lval <-1 || lval >1){
1.225     brouard  9436:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  9437:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9438:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  9439:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9440:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9441:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  9442:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  9443:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  9444:  Exiting.\n",lval,linei, i,line,j);
1.225     brouard  9445:        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  9446:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9447:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  9448:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9449:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9450:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  9451:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  9452:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  9453:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.225     brouard  9454:        return 1;
1.136     brouard  9455:       }
                   9456:       covar[j][i]=(double)(lval);
                   9457:       strcpy(line,stra);
                   9458:     }  
                   9459:     lstra=strlen(stra);
1.225     brouard  9460:     
1.136     brouard  9461:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   9462:       stratrunc = &(stra[lstra-9]);
                   9463:       num[i]=atol(stratrunc);
                   9464:     }
                   9465:     else
                   9466:       num[i]=atol(stra);
                   9467:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   9468:       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;}*/
                   9469:     
                   9470:     i=i+1;
                   9471:   } /* End loop reading  data */
1.225     brouard  9472:   
1.136     brouard  9473:   *imax=i-1; /* Number of individuals */
                   9474:   fclose(fic);
1.225     brouard  9475:   
1.136     brouard  9476:   return (0);
1.164     brouard  9477:   /* endread: */
1.225     brouard  9478:   printf("Exiting readdata: ");
                   9479:   fclose(fic);
                   9480:   return (1);
1.223     brouard  9481: }
1.126     brouard  9482: 
1.234     brouard  9483: void removefirstspace(char **stri){/*, char stro[]) {*/
1.230     brouard  9484:   char *p1 = *stri, *p2 = *stri;
1.235     brouard  9485:   while (*p2 == ' ')
1.234     brouard  9486:     p2++; 
                   9487:   /* while ((*p1++ = *p2++) !=0) */
                   9488:   /*   ; */
                   9489:   /* do */
                   9490:   /*   while (*p2 == ' ') */
                   9491:   /*     p2++; */
                   9492:   /* while (*p1++ == *p2++); */
                   9493:   *stri=p2; 
1.145     brouard  9494: }
                   9495: 
1.235     brouard  9496: int decoderesult ( char resultline[], int nres)
1.230     brouard  9497: /**< This routine decode one result line and returns the combination # of dummy covariates only **/
                   9498: {
1.235     brouard  9499:   int j=0, k=0, k1=0, k2=0, k3=0, k4=0, match=0, k2q=0, k3q=0, k4q=0;
1.230     brouard  9500:   char resultsav[MAXLINE];
1.234     brouard  9501:   int resultmodel[MAXLINE];
                   9502:   int modelresult[MAXLINE];
1.230     brouard  9503:   char stra[80], strb[80], strc[80], strd[80],stre[80];
                   9504: 
1.234     brouard  9505:   removefirstspace(&resultline);
1.233     brouard  9506:   printf("decoderesult:%s\n",resultline);
1.230     brouard  9507: 
                   9508:   if (strstr(resultline,"v") !=0){
                   9509:     printf("Error. 'v' must be in upper case 'V' result: %s ",resultline);
                   9510:     fprintf(ficlog,"Error. 'v' must be in upper case result: %s ",resultline);fflush(ficlog);
                   9511:     return 1;
                   9512:   }
                   9513:   trimbb(resultsav, resultline);
                   9514:   if (strlen(resultsav) >1){
                   9515:     j=nbocc(resultsav,'='); /**< j=Number of covariate values'=' */
                   9516:   }
1.253     brouard  9517:   if(j == 0){ /* Resultline but no = */
                   9518:     TKresult[nres]=0; /* Combination for the nresult and the model */
                   9519:     return (0);
                   9520:   }
                   9521:     
1.234     brouard  9522:   if( j != cptcovs ){ /* Be careful if a variable is in a product but not single */
                   9523:     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);
                   9524:     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);
                   9525:   }
                   9526:   for(k=1; k<=j;k++){ /* Loop on any covariate of the result line */
                   9527:     if(nbocc(resultsav,'=') >1){
                   9528:        cutl(stra,strb,resultsav,' '); /* keeps in strb after the first ' ' 
                   9529:                                      resultsav= V4=1 V5=25.1 V3=0 strb=V3=0 stra= V4=1 V5=25.1 */
                   9530:        cutl(strc,strd,strb,'=');  /* strb:V4=1 strc=1 strd=V4 */
                   9531:     }else
                   9532:       cutl(strc,strd,resultsav,'=');
1.230     brouard  9533:     Tvalsel[k]=atof(strc); /* 1 */
1.234     brouard  9534:     
1.230     brouard  9535:     cutl(strc,stre,strd,'V'); /* strd='V4' strc=4 stre='V' */;
                   9536:     Tvarsel[k]=atoi(strc);
                   9537:     /* Typevarsel[k]=1;  /\* 1 for age product *\/ */
                   9538:     /* cptcovsel++;     */
                   9539:     if (nbocc(stra,'=') >0)
                   9540:       strcpy(resultsav,stra); /* and analyzes it */
                   9541:   }
1.235     brouard  9542:   /* Checking for missing or useless values in comparison of current model needs */
1.236     brouard  9543:   for(k1=1; k1<= cptcovt ;k1++){ /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9544:     if(Typevar[k1]==0){ /* Single covariate in model */
1.234     brouard  9545:       match=0;
1.236     brouard  9546:       for(k2=1; k2 <=j;k2++){/* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
1.237     brouard  9547:        if(Tvar[k1]==Tvarsel[k2]) {/* Tvar[1]=5 == Tvarsel[2]=5   */
1.236     brouard  9548:          modelresult[k2]=k1;/* modelresult[2]=1 modelresult[1]=2  modelresult[3]=3  modelresult[6]=4 modelresult[9]=5 */
1.234     brouard  9549:          match=1;
                   9550:          break;
                   9551:        }
                   9552:       }
                   9553:       if(match == 0){
                   9554:        printf("Error in result line: %d value missing; result: %s, model=%s\n",k1, resultline, model);
                   9555:       }
                   9556:     }
                   9557:   }
1.235     brouard  9558:   /* Checking for missing or useless values in comparison of current model needs */
                   9559:   for(k2=1; k2 <=j;k2++){ /* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
1.234     brouard  9560:     match=0;
1.235     brouard  9561:     for(k1=1; k1<= cptcovt ;k1++){ /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9562:       if(Typevar[k1]==0){ /* Single */
1.237     brouard  9563:        if(Tvar[k1]==Tvarsel[k2]) { /* Tvar[2]=4 == Tvarsel[1]=4   */
1.235     brouard  9564:          resultmodel[k1]=k2;  /* resultmodel[2]=1 resultmodel[1]=2  resultmodel[3]=3  resultmodel[6]=4 resultmodel[9]=5 */
1.234     brouard  9565:          ++match;
                   9566:        }
                   9567:       }
                   9568:     }
                   9569:     if(match == 0){
                   9570:       printf("Error in result line: %d value missing; result: %s, model=%s\n",k1, resultline, model);
                   9571:     }else if(match > 1){
                   9572:       printf("Error in result line: %d doubled; result: %s, model=%s\n",k2, resultline, model);
                   9573:     }
                   9574:   }
1.235     brouard  9575:       
1.234     brouard  9576:   /* We need to deduce which combination number is chosen and save quantitative values */
1.235     brouard  9577:   /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9578:   /* result line V4=1 V5=25.1 V3=0  V2=8 V1=1 */
                   9579:   /* should give a combination of dummy V4=1, V3=0, V1=1 => V4*2**(0) + V3*2**(1) + V1*2**(2) = 5 + (1offset) = 6*/
                   9580:   /* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
                   9581:   /* should give a combination of dummy V4=1, V3=1, V1=0 => V4*2**(0) + V3*2**(1) + V1*2**(2) = 3 + (1offset) = 4*/
                   9582:   /*    1 0 0 0 */
                   9583:   /*    2 1 0 0 */
                   9584:   /*    3 0 1 0 */ 
                   9585:   /*    4 1 1 0 */ /* V4=1, V3=1, V1=0 */
                   9586:   /*    5 0 0 1 */
                   9587:   /*    6 1 0 1 */ /* V4=1, V3=0, V1=1 */
                   9588:   /*    7 0 1 1 */
                   9589:   /*    8 1 1 1 */
1.237     brouard  9590:   /* V(Tvresult)=Tresult V4=1 V3=0 V1=1 Tresult[nres=1][2]=0 */
                   9591:   /* V(Tvqresult)=Tqresult V5=25.1 V2=8 Tqresult[nres=1][1]=25.1 */
                   9592:   /* V5*age V5 known which value for nres?  */
                   9593:   /* Tqinvresult[2]=8 Tqinvresult[1]=25.1  */
1.235     brouard  9594:   for(k1=1, k=0, k4=0, k4q=0; k1 <=cptcovt;k1++){ /* model line */
                   9595:     if( Dummy[k1]==0 && Typevar[k1]==0 ){ /* Single dummy */
1.237     brouard  9596:       k3= resultmodel[k1]; /* resultmodel[2(V4)] = 1=k3 */
1.235     brouard  9597:       k2=(int)Tvarsel[k3]; /*  Tvarsel[resultmodel[2]]= Tvarsel[1] = 4=k2 */
                   9598:       k+=Tvalsel[k3]*pow(2,k4);  /*  Tvalsel[1]=1  */
1.237     brouard  9599:       Tresult[nres][k4+1]=Tvalsel[k3];/* Tresult[nres][1]=1(V4=1)  Tresult[nres][2]=0(V3=0) */
                   9600:       Tvresult[nres][k4+1]=(int)Tvarsel[k3];/* Tvresult[nres][1]=4 Tvresult[nres][3]=1 */
                   9601:       Tinvresult[nres][(int)Tvarsel[k3]]=Tvalsel[k3]; /* Tinvresult[nres][4]=1 */
1.235     brouard  9602:       printf("Decoderesult Dummy k=%d, V(k2=V%d)= Tvalsel[%d]=%d, 2**(%d)\n",k, k2, k3, (int)Tvalsel[k3], k4);
                   9603:       k4++;;
                   9604:     }  else if( Dummy[k1]==1 && Typevar[k1]==0 ){ /* Single quantitative */
                   9605:       k3q= resultmodel[k1]; /* resultmodel[2] = 1=k3 */
                   9606:       k2q=(int)Tvarsel[k3q]; /*  Tvarsel[resultmodel[2]]= Tvarsel[1] = 4=k2 */
1.237     brouard  9607:       Tqresult[nres][k4q+1]=Tvalsel[k3q]; /* Tqresult[nres][1]=25.1 */
                   9608:       Tvqresult[nres][k4q+1]=(int)Tvarsel[k3q]; /* Tvqresult[nres][1]=5 */
                   9609:       Tqinvresult[nres][(int)Tvarsel[k3q]]=Tvalsel[k3q]; /* Tqinvresult[nres][5]=25.1 */
1.235     brouard  9610:       printf("Decoderesult Quantitative nres=%d, V(k2q=V%d)= Tvalsel[%d]=%d, Tvarsel[%d]=%f\n",nres, k2q, k3q, Tvarsel[k3q], k3q, Tvalsel[k3q]);
                   9611:       k4q++;;
                   9612:     }
                   9613:   }
1.234     brouard  9614:   
1.235     brouard  9615:   TKresult[nres]=++k; /* Combination for the nresult and the model */
1.230     brouard  9616:   return (0);
                   9617: }
1.235     brouard  9618: 
1.230     brouard  9619: int decodemodel( char model[], int lastobs)
                   9620:  /**< This routine decodes the model and returns:
1.224     brouard  9621:        * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   9622:        * - nagesqr = 1 if age*age in the model, otherwise 0.
                   9623:        * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   9624:        * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
                   9625:        * - cptcovage number of covariates with age*products =2
                   9626:        * - cptcovs number of simple covariates
                   9627:        * - 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
                   9628:        *     which is a new column after the 9 (ncovcol) variables. 
                   9629:        * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
                   9630:        * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   9631:        *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   9632:        * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   9633:        */
1.136     brouard  9634: {
1.238     brouard  9635:   int i, j, k, ks, v;
1.227     brouard  9636:   int  j1, k1, k2, k3, k4;
1.136     brouard  9637:   char modelsav[80];
1.145     brouard  9638:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  9639:   char *strpt;
1.136     brouard  9640: 
1.145     brouard  9641:   /*removespace(model);*/
1.136     brouard  9642:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  9643:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  9644:     if (strstr(model,"AGE") !=0){
1.192     brouard  9645:       printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
                   9646:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
1.136     brouard  9647:       return 1;
                   9648:     }
1.141     brouard  9649:     if (strstr(model,"v") !=0){
                   9650:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   9651:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   9652:       return 1;
                   9653:     }
1.187     brouard  9654:     strcpy(modelsav,model); 
                   9655:     if ((strpt=strstr(model,"age*age")) !=0){
                   9656:       printf(" strpt=%s, model=%s\n",strpt, model);
                   9657:       if(strpt != model){
1.234     brouard  9658:        printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  9659:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  9660:  corresponding column of parameters.\n",model);
1.234     brouard  9661:        fprintf(ficlog,"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); fflush(ficlog);
1.234     brouard  9664:        return 1;
1.225     brouard  9665:       }
1.187     brouard  9666:       nagesqr=1;
                   9667:       if (strstr(model,"+age*age") !=0)
1.234     brouard  9668:        substrchaine(modelsav, model, "+age*age");
1.187     brouard  9669:       else if (strstr(model,"age*age+") !=0)
1.234     brouard  9670:        substrchaine(modelsav, model, "age*age+");
1.187     brouard  9671:       else 
1.234     brouard  9672:        substrchaine(modelsav, model, "age*age");
1.187     brouard  9673:     }else
                   9674:       nagesqr=0;
                   9675:     if (strlen(modelsav) >1){
                   9676:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   9677:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
1.224     brouard  9678:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =5-3=2  */
1.187     brouard  9679:       cptcovt= j+1; /* Number of total covariates in the model, not including
1.225     brouard  9680:                     * cst, age and age*age 
                   9681:                     * V1+V1*age+ V3 + V3*V4+age*age=> 3+1=4*/
                   9682:       /* including age products which are counted in cptcovage.
                   9683:        * but the covariates which are products must be treated 
                   9684:        * separately: ncovn=4- 2=2 (V1+V3). */
1.187     brouard  9685:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   9686:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
1.225     brouard  9687:       
                   9688:       
1.187     brouard  9689:       /*   Design
                   9690:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   9691:        *  <          ncovcol=8                >
                   9692:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   9693:        *   k=  1    2      3       4     5       6      7        8
                   9694:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   9695:        *  covar[k,i], value of kth covariate if not including age for individual i:
1.224     brouard  9696:        *       covar[1][i]= (V1), covar[4][i]=(V4), covar[8][i]=(V8)
                   9697:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[2]=1 Tvar[4]=3 Tvar[8]=8
1.187     brouard  9698:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   9699:        *  Tage[++cptcovage]=k
                   9700:        *       if products, new covar are created after ncovcol with k1
                   9701:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   9702:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   9703:        *  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
                   9704:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   9705:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   9706:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   9707:        *  <          ncovcol=8                >
                   9708:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   9709:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   9710:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
                   9711:        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   9712:        * p Tprod[1]@2={                         6, 5}
                   9713:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   9714:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   9715:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                   9716:        *How to reorganize?
                   9717:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   9718:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   9719:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   9720:        * Struct []
                   9721:        */
1.225     brouard  9722:       
1.187     brouard  9723:       /* This loop fills the array Tvar from the string 'model'.*/
                   9724:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   9725:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   9726:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   9727:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   9728:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   9729:       /*       k=1 Tvar[1]=2 (from V2) */
                   9730:       /*       k=5 Tvar[5] */
                   9731:       /* for (k=1; k<=cptcovn;k++) { */
1.198     brouard  9732:       /*       cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.187     brouard  9733:       /*       } */
1.198     brouard  9734:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
1.187     brouard  9735:       /*
                   9736:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
1.227     brouard  9737:       for(k=cptcovt; k>=1;k--){ /**< Number of covariates not including constant and age, neither age*age*/
                   9738:         Tvar[k]=0; Tprod[k]=0; Tposprod[k]=0;
                   9739:       }
1.187     brouard  9740:       cptcovage=0;
                   9741:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
1.234     brouard  9742:        cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
1.225     brouard  9743:                                         modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
1.234     brouard  9744:        if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
                   9745:        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                   9746:        /*scanf("%d",i);*/
                   9747:        if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
                   9748:          cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
                   9749:          if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                   9750:            /* covar is not filled and then is empty */
                   9751:            cptcovprod--;
                   9752:            cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                   9753:            Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
                   9754:            Typevar[k]=1;  /* 1 for age product */
                   9755:            cptcovage++; /* Sums the number of covariates which include age as a product */
                   9756:            Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
                   9757:            /*printf("stre=%s ", stre);*/
                   9758:          } else if (strcmp(strd,"age")==0) { /* or age*Vn */
                   9759:            cptcovprod--;
                   9760:            cutl(stre,strb,strc,'V');
                   9761:            Tvar[k]=atoi(stre);
                   9762:            Typevar[k]=1;  /* 1 for age product */
                   9763:            cptcovage++;
                   9764:            Tage[cptcovage]=k;
                   9765:          } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                   9766:            /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                   9767:            cptcovn++;
                   9768:            cptcovprodnoage++;k1++;
                   9769:            cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                   9770:            Tvar[k]=ncovcol+nqv+ntv+nqtv+k1; /* For model-covariate k tells which data-covariate to use but
                   9771:                                                because this model-covariate is a construction we invent a new column
                   9772:                                                which is after existing variables ncovcol+nqv+ntv+nqtv + k1
                   9773:                                                If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                   9774:                                                Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
                   9775:            Typevar[k]=2;  /* 2 for double fixed dummy covariates */
                   9776:            cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                   9777:            Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
                   9778:            Tposprod[k]=k1; /* Tpsprod[3]=1, Tposprod[2]=5 */
                   9779:            Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                   9780:            Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                   9781:            k2=k2+2;  /* k2 is initialize to -1, We want to store the n and m in Vn*Vm at the end of Tvar */
                   9782:            /* Tvar[cptcovt+k2]=Tvard[k1][1]; /\* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) *\/ */
                   9783:            /* Tvar[cptcovt+k2+1]=Tvard[k1][2];  /\* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) *\/ */
1.225     brouard  9784:             /*ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2, Tvar[3]=5, Tvar[4]=6, cptcovt=5 */
1.234     brouard  9785:            /*                     1  2   3      4     5 | Tvar[5+1)=1, Tvar[7]=2   */
                   9786:            for (i=1; i<=lastobs;i++){
                   9787:              /* Computes the new covariate which is a product of
                   9788:                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                   9789:              covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   9790:            }
                   9791:          } /* End age is not in the model */
                   9792:        } /* End if model includes a product */
                   9793:        else { /* no more sum */
                   9794:          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                   9795:          /*  scanf("%d",i);*/
                   9796:          cutl(strd,strc,strb,'V');
                   9797:          ks++; /**< Number of simple covariates dummy or quantitative, fixe or varying */
                   9798:          cptcovn++; /** V4+V3+V5: V4 and V3 timevarying dummy covariates, V5 timevarying quantitative */
                   9799:          Tvar[k]=atoi(strd);
                   9800:          Typevar[k]=0;  /* 0 for simple covariates */
                   9801:        }
                   9802:        strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
1.223     brouard  9803:                                /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
1.225     brouard  9804:                                  scanf("%d",i);*/
1.187     brouard  9805:       } /* end of loop + on total covariates */
                   9806:     } /* end if strlen(modelsave == 0) age*age might exist */
                   9807:   } /* end if strlen(model == 0) */
1.136     brouard  9808:   
                   9809:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   9810:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
1.225     brouard  9811:   
1.136     brouard  9812:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
1.225     brouard  9813:      printf("cptcovprod=%d ", cptcovprod);
                   9814:      fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
                   9815:      scanf("%d ",i);*/
                   9816: 
                   9817: 
1.230     brouard  9818: /* Until here, decodemodel knows only the grammar (simple, product, age*) of the model but not what kind
                   9819:    of variable (dummy vs quantitative, fixed vs time varying) is behind. But we know the # of each. */
1.226     brouard  9820: /* ncovcol= 1, nqv=1 | ntv=2, nqtv= 1  = 5 possible variables data: 2 fixed 3, varying
                   9821:    model=        V5 + V4 +V3 + V4*V3 + V5*age + V2 + V1*V2 + V1*age + V5*age, V1 is not used saving its place
                   9822:    k =           1    2   3     4       5       6      7      8        9
                   9823:    Tvar[k]=      5    4   3 1+1+2+1+1=6 5       2      7      1        5
                   9824:    Typevar[k]=   0    0   0     2       1       0      2      1        1
1.227     brouard  9825:    Fixed[k]      1    1   1     1       3       0    0 or 2   2        3
                   9826:    Dummy[k]      1    0   0     0       3       1      1      2        3
                   9827:          Tmodelind[combination of covar]=k;
1.225     brouard  9828: */  
                   9829: /* Dispatching between quantitative and time varying covariates */
1.226     brouard  9830:   /* If Tvar[k] >ncovcol it is a product */
1.225     brouard  9831:   /* 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  9832:        /* Computing effective variables, ie used by the model, that is from the cptcovt variables */
1.227     brouard  9833:   printf("Model=%s\n\
                   9834: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   9835: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   9836: 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);
                   9837:   fprintf(ficlog,"Model=%s\n\
                   9838: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   9839: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   9840: 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  9841:   for(k=-1;k<=cptcovt; k++){ Fixed[k]=0; Dummy[k]=0;}
1.234     brouard  9842:   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 */
                   9843:     if (Tvar[k] <=ncovcol && Typevar[k]==0 ){ /* Simple fixed dummy (<=ncovcol) covariates */
1.227     brouard  9844:       Fixed[k]= 0;
                   9845:       Dummy[k]= 0;
1.225     brouard  9846:       ncoveff++;
1.232     brouard  9847:       ncovf++;
1.234     brouard  9848:       nsd++;
                   9849:       modell[k].maintype= FTYPE;
                   9850:       TvarsD[nsd]=Tvar[k];
                   9851:       TvarsDind[nsd]=k;
                   9852:       TvarF[ncovf]=Tvar[k];
                   9853:       TvarFind[ncovf]=k;
                   9854:       TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9855:       TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9856:     }else if( Tvar[k] <=ncovcol &&  Typevar[k]==2){ /* Product of fixed dummy (<=ncovcol) covariates */
                   9857:       Fixed[k]= 0;
                   9858:       Dummy[k]= 0;
                   9859:       ncoveff++;
                   9860:       ncovf++;
                   9861:       modell[k].maintype= FTYPE;
                   9862:       TvarF[ncovf]=Tvar[k];
                   9863:       TvarFind[ncovf]=k;
1.230     brouard  9864:       TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
1.231     brouard  9865:       TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
1.240     brouard  9866:     }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  9867:       Fixed[k]= 0;
                   9868:       Dummy[k]= 1;
1.230     brouard  9869:       nqfveff++;
1.234     brouard  9870:       modell[k].maintype= FTYPE;
                   9871:       modell[k].subtype= FQ;
                   9872:       nsq++;
                   9873:       TvarsQ[nsq]=Tvar[k];
                   9874:       TvarsQind[nsq]=k;
1.232     brouard  9875:       ncovf++;
1.234     brouard  9876:       TvarF[ncovf]=Tvar[k];
                   9877:       TvarFind[ncovf]=k;
1.231     brouard  9878:       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  9879:       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  9880:     }else if( Tvar[k] <=ncovcol+nqv+ntv && Typevar[k]==0){/* Only simple time varying dummy variables */
1.227     brouard  9881:       Fixed[k]= 1;
                   9882:       Dummy[k]= 0;
1.225     brouard  9883:       ntveff++; /* Only simple time varying dummy variable */
1.234     brouard  9884:       modell[k].maintype= VTYPE;
                   9885:       modell[k].subtype= VD;
                   9886:       nsd++;
                   9887:       TvarsD[nsd]=Tvar[k];
                   9888:       TvarsDind[nsd]=k;
                   9889:       ncovv++; /* Only simple time varying variables */
                   9890:       TvarV[ncovv]=Tvar[k];
1.242     brouard  9891:       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  9892:       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 */
                   9893:       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  9894:       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);
                   9895:       printf("Quasi TmodelInvind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv);
1.231     brouard  9896:     }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv  && Typevar[k]==0){ /* Only simple time varying quantitative variable V5*/
1.234     brouard  9897:       Fixed[k]= 1;
                   9898:       Dummy[k]= 1;
                   9899:       nqtveff++;
                   9900:       modell[k].maintype= VTYPE;
                   9901:       modell[k].subtype= VQ;
                   9902:       ncovv++; /* Only simple time varying variables */
                   9903:       nsq++;
                   9904:       TvarsQ[nsq]=Tvar[k];
                   9905:       TvarsQind[nsq]=k;
                   9906:       TvarV[ncovv]=Tvar[k];
1.242     brouard  9907:       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  9908:       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 */
                   9909:       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  9910:       TmodelInvQind[nqtveff]=Tvar[k]- ncovcol-nqv-ntv;/* Only simple time varying quantitative variable */
                   9911:       /* Tmodeliqind[k]=nqtveff;/\* Only simple time varying quantitative variable *\/ */
                   9912:       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  9913:       printf("Quasi TmodelInvQind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv-ntv);
1.227     brouard  9914:     }else if (Typevar[k] == 1) {  /* product with age */
1.234     brouard  9915:       ncova++;
                   9916:       TvarA[ncova]=Tvar[k];
                   9917:       TvarAind[ncova]=k;
1.231     brouard  9918:       if (Tvar[k] <=ncovcol ){ /* Product age with fixed dummy covariatee */
1.240     brouard  9919:        Fixed[k]= 2;
                   9920:        Dummy[k]= 2;
                   9921:        modell[k].maintype= ATYPE;
                   9922:        modell[k].subtype= APFD;
                   9923:        /* ncoveff++; */
1.227     brouard  9924:       }else if( Tvar[k] <=ncovcol+nqv) { /* Remind that product Vn*Vm are added in k*/
1.240     brouard  9925:        Fixed[k]= 2;
                   9926:        Dummy[k]= 3;
                   9927:        modell[k].maintype= ATYPE;
                   9928:        modell[k].subtype= APFQ;                /*      Product age * fixed quantitative */
                   9929:        /* nqfveff++;  /\* Only simple fixed quantitative variable *\/ */
1.227     brouard  9930:       }else if( Tvar[k] <=ncovcol+nqv+ntv ){
1.240     brouard  9931:        Fixed[k]= 3;
                   9932:        Dummy[k]= 2;
                   9933:        modell[k].maintype= ATYPE;
                   9934:        modell[k].subtype= APVD;                /*      Product age * varying dummy */
                   9935:        /* ntveff++; /\* Only simple time varying dummy variable *\/ */
1.227     brouard  9936:       }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv){
1.240     brouard  9937:        Fixed[k]= 3;
                   9938:        Dummy[k]= 3;
                   9939:        modell[k].maintype= ATYPE;
                   9940:        modell[k].subtype= APVQ;                /*      Product age * varying quantitative */
                   9941:        /* nqtveff++;/\* Only simple time varying quantitative variable *\/ */
1.227     brouard  9942:       }
                   9943:     }else if (Typevar[k] == 2) {  /* product without age */
                   9944:       k1=Tposprod[k];
                   9945:       if(Tvard[k1][1] <=ncovcol){
1.240     brouard  9946:        if(Tvard[k1][2] <=ncovcol){
                   9947:          Fixed[k]= 1;
                   9948:          Dummy[k]= 0;
                   9949:          modell[k].maintype= FTYPE;
                   9950:          modell[k].subtype= FPDD;              /*      Product fixed dummy * fixed dummy */
                   9951:          ncovf++; /* Fixed variables without age */
                   9952:          TvarF[ncovf]=Tvar[k];
                   9953:          TvarFind[ncovf]=k;
                   9954:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   9955:          Fixed[k]= 0;  /* or 2 ?*/
                   9956:          Dummy[k]= 1;
                   9957:          modell[k].maintype= FTYPE;
                   9958:          modell[k].subtype= FPDQ;              /*      Product fixed dummy * fixed quantitative */
                   9959:          ncovf++; /* Varying variables without age */
                   9960:          TvarF[ncovf]=Tvar[k];
                   9961:          TvarFind[ncovf]=k;
                   9962:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   9963:          Fixed[k]= 1;
                   9964:          Dummy[k]= 0;
                   9965:          modell[k].maintype= VTYPE;
                   9966:          modell[k].subtype= VPDD;              /*      Product fixed dummy * varying dummy */
                   9967:          ncovv++; /* Varying variables without age */
                   9968:          TvarV[ncovv]=Tvar[k];
                   9969:          TvarVind[ncovv]=k;
                   9970:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   9971:          Fixed[k]= 1;
                   9972:          Dummy[k]= 1;
                   9973:          modell[k].maintype= VTYPE;
                   9974:          modell[k].subtype= VPDQ;              /*      Product fixed dummy * varying quantitative */
                   9975:          ncovv++; /* Varying variables without age */
                   9976:          TvarV[ncovv]=Tvar[k];
                   9977:          TvarVind[ncovv]=k;
                   9978:        }
1.227     brouard  9979:       }else if(Tvard[k1][1] <=ncovcol+nqv){
1.240     brouard  9980:        if(Tvard[k1][2] <=ncovcol){
                   9981:          Fixed[k]= 0;  /* or 2 ?*/
                   9982:          Dummy[k]= 1;
                   9983:          modell[k].maintype= FTYPE;
                   9984:          modell[k].subtype= FPDQ;              /*      Product fixed quantitative * fixed dummy */
                   9985:          ncovf++; /* Fixed variables without age */
                   9986:          TvarF[ncovf]=Tvar[k];
                   9987:          TvarFind[ncovf]=k;
                   9988:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   9989:          Fixed[k]= 1;
                   9990:          Dummy[k]= 1;
                   9991:          modell[k].maintype= VTYPE;
                   9992:          modell[k].subtype= VPDQ;              /*      Product fixed quantitative * varying dummy */
                   9993:          ncovv++; /* Varying variables without age */
                   9994:          TvarV[ncovv]=Tvar[k];
                   9995:          TvarVind[ncovv]=k;
                   9996:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   9997:          Fixed[k]= 1;
                   9998:          Dummy[k]= 1;
                   9999:          modell[k].maintype= VTYPE;
                   10000:          modell[k].subtype= VPQQ;              /*      Product fixed quantitative * varying quantitative */
                   10001:          ncovv++; /* Varying variables without age */
                   10002:          TvarV[ncovv]=Tvar[k];
                   10003:          TvarVind[ncovv]=k;
                   10004:          ncovv++; /* Varying variables without age */
                   10005:          TvarV[ncovv]=Tvar[k];
                   10006:          TvarVind[ncovv]=k;
                   10007:        }
1.227     brouard  10008:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv){
1.240     brouard  10009:        if(Tvard[k1][2] <=ncovcol){
                   10010:          Fixed[k]= 1;
                   10011:          Dummy[k]= 1;
                   10012:          modell[k].maintype= VTYPE;
                   10013:          modell[k].subtype= VPDD;              /*      Product time varying dummy * fixed dummy */
                   10014:          ncovv++; /* Varying variables without age */
                   10015:          TvarV[ncovv]=Tvar[k];
                   10016:          TvarVind[ncovv]=k;
                   10017:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   10018:          Fixed[k]= 1;
                   10019:          Dummy[k]= 1;
                   10020:          modell[k].maintype= VTYPE;
                   10021:          modell[k].subtype= VPDQ;              /*      Product time varying dummy * fixed quantitative */
                   10022:          ncovv++; /* Varying variables without age */
                   10023:          TvarV[ncovv]=Tvar[k];
                   10024:          TvarVind[ncovv]=k;
                   10025:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   10026:          Fixed[k]= 1;
                   10027:          Dummy[k]= 0;
                   10028:          modell[k].maintype= VTYPE;
                   10029:          modell[k].subtype= VPDD;              /*      Product time varying dummy * time varying dummy */
                   10030:          ncovv++; /* Varying variables without age */
                   10031:          TvarV[ncovv]=Tvar[k];
                   10032:          TvarVind[ncovv]=k;
                   10033:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   10034:          Fixed[k]= 1;
                   10035:          Dummy[k]= 1;
                   10036:          modell[k].maintype= VTYPE;
                   10037:          modell[k].subtype= VPDQ;              /*      Product time varying dummy * time varying quantitative */
                   10038:          ncovv++; /* Varying variables without age */
                   10039:          TvarV[ncovv]=Tvar[k];
                   10040:          TvarVind[ncovv]=k;
                   10041:        }
1.227     brouard  10042:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv+nqtv){
1.240     brouard  10043:        if(Tvard[k1][2] <=ncovcol){
                   10044:          Fixed[k]= 1;
                   10045:          Dummy[k]= 1;
                   10046:          modell[k].maintype= VTYPE;
                   10047:          modell[k].subtype= VPDQ;              /*      Product time varying quantitative * fixed dummy */
                   10048:          ncovv++; /* Varying variables without age */
                   10049:          TvarV[ncovv]=Tvar[k];
                   10050:          TvarVind[ncovv]=k;
                   10051:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   10052:          Fixed[k]= 1;
                   10053:          Dummy[k]= 1;
                   10054:          modell[k].maintype= VTYPE;
                   10055:          modell[k].subtype= VPQQ;              /*      Product time varying quantitative * fixed quantitative */
                   10056:          ncovv++; /* Varying variables without age */
                   10057:          TvarV[ncovv]=Tvar[k];
                   10058:          TvarVind[ncovv]=k;
                   10059:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   10060:          Fixed[k]= 1;
                   10061:          Dummy[k]= 1;
                   10062:          modell[k].maintype= VTYPE;
                   10063:          modell[k].subtype= VPDQ;              /*      Product time varying quantitative * time varying dummy */
                   10064:          ncovv++; /* Varying variables without age */
                   10065:          TvarV[ncovv]=Tvar[k];
                   10066:          TvarVind[ncovv]=k;
                   10067:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   10068:          Fixed[k]= 1;
                   10069:          Dummy[k]= 1;
                   10070:          modell[k].maintype= VTYPE;
                   10071:          modell[k].subtype= VPQQ;              /*      Product time varying quantitative * time varying quantitative */
                   10072:          ncovv++; /* Varying variables without age */
                   10073:          TvarV[ncovv]=Tvar[k];
                   10074:          TvarVind[ncovv]=k;
                   10075:        }
1.227     brouard  10076:       }else{
1.240     brouard  10077:        printf("Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
                   10078:        fprintf(ficlog,"Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
                   10079:       } /*end k1*/
1.225     brouard  10080:     }else{
1.226     brouard  10081:       printf("Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]);
                   10082:       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  10083:     }
1.227     brouard  10084:     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  10085:     printf("           modell[%d].maintype=%d, modell[%d].subtype=%d\n",k,modell[k].maintype,k,modell[k].subtype);
1.227     brouard  10086:     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]);
                   10087:   }
                   10088:   /* Searching for doublons in the model */
                   10089:   for(k1=1; k1<= cptcovt;k1++){
                   10090:     for(k2=1; k2 <k1;k2++){
1.285     brouard  10091:       /* if((Typevar[k1]==Typevar[k2]) && (Fixed[Tvar[k1]]==Fixed[Tvar[k2]]) && (Dummy[Tvar[k1]]==Dummy[Tvar[k2]] )){ */
                   10092:       if((Typevar[k1]==Typevar[k2]) && (Fixed[k1]==Fixed[k2]) && (Dummy[k1]==Dummy[k2] )){
1.234     brouard  10093:        if((Typevar[k1] == 0 || Typevar[k1] == 1)){ /* Simple or age product */
                   10094:          if(Tvar[k1]==Tvar[k2]){
1.285     brouard  10095:            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]);
                   10096:            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  10097:            return(1);
                   10098:          }
                   10099:        }else if (Typevar[k1] ==2){
                   10100:          k3=Tposprod[k1];
                   10101:          k4=Tposprod[k2];
                   10102:          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])) ){
                   10103:            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]]);
                   10104:            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);
                   10105:            return(1);
                   10106:          }
                   10107:        }
1.227     brouard  10108:       }
                   10109:     }
1.225     brouard  10110:   }
                   10111:   printf("ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
                   10112:   fprintf(ficlog,"ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
1.234     brouard  10113:   printf("ncovf=%d, ncovv=%d, ncova=%d, nsd=%d, nsq=%d\n",ncovf,ncovv,ncova,nsd,nsq);
                   10114:   fprintf(ficlog,"ncovf=%d, ncovv=%d, ncova=%d, nsd=%d, nsq=%d\n",ncovf,ncovv,ncova,nsd, nsq);
1.137     brouard  10115:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  10116:   /*endread:*/
1.225     brouard  10117:   printf("Exiting decodemodel: ");
                   10118:   return (1);
1.136     brouard  10119: }
                   10120: 
1.169     brouard  10121: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.248     brouard  10122: {/* Check ages at death */
1.136     brouard  10123:   int i, m;
1.218     brouard  10124:   int firstone=0;
                   10125:   
1.136     brouard  10126:   for (i=1; i<=imx; i++) {
                   10127:     for(m=2; (m<= maxwav); m++) {
                   10128:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   10129:        anint[m][i]=9999;
1.216     brouard  10130:        if (s[m][i] != -2) /* Keeping initial status of unknown vital status */
                   10131:          s[m][i]=-1;
1.136     brouard  10132:       }
                   10133:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.260     brouard  10134:        *nberr = *nberr + 1;
1.218     brouard  10135:        if(firstone == 0){
                   10136:          firstone=1;
1.260     brouard  10137:        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  10138:        }
1.262     brouard  10139:        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  10140:        s[m][i]=-1;  /* Droping the death status */
1.136     brouard  10141:       }
                   10142:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  10143:        (*nberr)++;
1.259     brouard  10144:        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  10145:        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  10146:        s[m][i]=-2; /* We prefer to skip it (and to skip it in version 0.8a1 too */
1.136     brouard  10147:       }
                   10148:     }
                   10149:   }
                   10150: 
                   10151:   for (i=1; i<=imx; i++)  {
                   10152:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   10153:     for(m=firstpass; (m<= lastpass); m++){
1.214     brouard  10154:       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  10155:        if (s[m][i] >= nlstate+1) {
1.169     brouard  10156:          if(agedc[i]>0){
                   10157:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  10158:              agev[m][i]=agedc[i];
1.214     brouard  10159:              /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  10160:            }else {
1.136     brouard  10161:              if ((int)andc[i]!=9999){
                   10162:                nbwarn++;
                   10163:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   10164:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   10165:                agev[m][i]=-1;
                   10166:              }
                   10167:            }
1.169     brouard  10168:          } /* agedc > 0 */
1.214     brouard  10169:        } /* end if */
1.136     brouard  10170:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   10171:                                 years but with the precision of a month */
                   10172:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   10173:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   10174:            agev[m][i]=1;
                   10175:          else if(agev[m][i] < *agemin){ 
                   10176:            *agemin=agev[m][i];
                   10177:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   10178:          }
                   10179:          else if(agev[m][i] >*agemax){
                   10180:            *agemax=agev[m][i];
1.156     brouard  10181:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  10182:          }
                   10183:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   10184:          /*     agev[m][i] = age[i]+2*m;*/
1.214     brouard  10185:        } /* en if 9*/
1.136     brouard  10186:        else { /* =9 */
1.214     brouard  10187:          /* printf("Debug num[%d]=%ld s[%d][%d]=%d\n",i,num[i], m,i, s[m][i]); */
1.136     brouard  10188:          agev[m][i]=1;
                   10189:          s[m][i]=-1;
                   10190:        }
                   10191:       }
1.214     brouard  10192:       else if(s[m][i]==0) /*= 0 Unknown */
1.136     brouard  10193:        agev[m][i]=1;
1.214     brouard  10194:       else{
                   10195:        printf("Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   10196:        fprintf(ficlog, "Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   10197:        agev[m][i]=0;
                   10198:       }
                   10199:     } /* End for lastpass */
                   10200:   }
1.136     brouard  10201:     
                   10202:   for (i=1; i<=imx; i++)  {
                   10203:     for(m=firstpass; (m<=lastpass); m++){
                   10204:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  10205:        (*nberr)++;
1.136     brouard  10206:        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);     
                   10207:        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);     
                   10208:        return 1;
                   10209:       }
                   10210:     }
                   10211:   }
                   10212: 
                   10213:   /*for (i=1; i<=imx; i++){
                   10214:   for (m=firstpass; (m<lastpass); m++){
                   10215:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   10216: }
                   10217: 
                   10218: }*/
                   10219: 
                   10220: 
1.139     brouard  10221:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   10222:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  10223: 
                   10224:   return (0);
1.164     brouard  10225:  /* endread:*/
1.136     brouard  10226:     printf("Exiting calandcheckages: ");
                   10227:     return (1);
                   10228: }
                   10229: 
1.172     brouard  10230: #if defined(_MSC_VER)
                   10231: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   10232: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   10233: //#include "stdafx.h"
                   10234: //#include <stdio.h>
                   10235: //#include <tchar.h>
                   10236: //#include <windows.h>
                   10237: //#include <iostream>
                   10238: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   10239: 
                   10240: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   10241: 
                   10242: BOOL IsWow64()
                   10243: {
                   10244:        BOOL bIsWow64 = FALSE;
                   10245: 
                   10246:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   10247:        //  (HANDLE, PBOOL);
                   10248: 
                   10249:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   10250: 
                   10251:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   10252:        const char funcName[] = "IsWow64Process";
                   10253:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   10254:                GetProcAddress(module, funcName);
                   10255: 
                   10256:        if (NULL != fnIsWow64Process)
                   10257:        {
                   10258:                if (!fnIsWow64Process(GetCurrentProcess(),
                   10259:                        &bIsWow64))
                   10260:                        //throw std::exception("Unknown error");
                   10261:                        printf("Unknown error\n");
                   10262:        }
                   10263:        return bIsWow64 != FALSE;
                   10264: }
                   10265: #endif
1.177     brouard  10266: 
1.191     brouard  10267: void syscompilerinfo(int logged)
1.292     brouard  10268: {
                   10269: #include <stdint.h>
                   10270: 
                   10271:   /* #include "syscompilerinfo.h"*/
1.185     brouard  10272:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   10273:    /* /GS /W3 /Gy
                   10274:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   10275:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   10276:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  10277:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   10278:    */ 
                   10279:    /* 64 bits */
1.185     brouard  10280:    /*
                   10281:      /GS /W3 /Gy
                   10282:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   10283:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   10284:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   10285:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   10286:    /* Optimization are useless and O3 is slower than O2 */
                   10287:    /*
                   10288:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   10289:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   10290:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   10291:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   10292:    */
1.186     brouard  10293:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  10294:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   10295:       /PDB:"visual studio
                   10296:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   10297:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   10298:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   10299:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   10300:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   10301:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   10302:       uiAccess='false'"
                   10303:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   10304:       /NOLOGO /TLBID:1
                   10305:    */
1.292     brouard  10306: 
                   10307: 
1.177     brouard  10308: #if defined __INTEL_COMPILER
1.178     brouard  10309: #if defined(__GNUC__)
                   10310:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   10311: #endif
1.177     brouard  10312: #elif defined(__GNUC__) 
1.179     brouard  10313: #ifndef  __APPLE__
1.174     brouard  10314: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  10315: #endif
1.177     brouard  10316:    struct utsname sysInfo;
1.178     brouard  10317:    int cross = CROSS;
                   10318:    if (cross){
                   10319:           printf("Cross-");
1.191     brouard  10320:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  10321:    }
1.174     brouard  10322: #endif
                   10323: 
1.191     brouard  10324:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  10325: #if defined(__clang__)
1.191     brouard  10326:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  10327: #endif
                   10328: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191     brouard  10329:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  10330: #endif
                   10331: #if defined(__GNUC__) || defined(__GNUG__)
1.191     brouard  10332:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  10333: #endif
                   10334: #if defined(__HP_cc) || defined(__HP_aCC)
1.191     brouard  10335:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  10336: #endif
                   10337: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191     brouard  10338:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  10339: #endif
                   10340: #if defined(_MSC_VER)
1.191     brouard  10341:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  10342: #endif
                   10343: #if defined(__PGI)
1.191     brouard  10344:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  10345: #endif
                   10346: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191     brouard  10347:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  10348: #endif
1.191     brouard  10349:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  10350:    
1.167     brouard  10351: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   10352: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   10353:     // Windows (x64 and x86)
1.191     brouard  10354:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  10355: #elif __unix__ // all unices, not all compilers
                   10356:     // Unix
1.191     brouard  10357:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  10358: #elif __linux__
                   10359:     // linux
1.191     brouard  10360:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  10361: #elif __APPLE__
1.174     brouard  10362:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191     brouard  10363:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  10364: #endif
                   10365: 
                   10366: /*  __MINGW32__          */
                   10367: /*  __CYGWIN__  */
                   10368: /* __MINGW64__  */
                   10369: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   10370: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   10371: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   10372: /* _WIN64  // Defined for applications for Win64. */
                   10373: /* _M_X64 // Defined for compilations that target x64 processors. */
                   10374: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  10375: 
1.167     brouard  10376: #if UINTPTR_MAX == 0xffffffff
1.191     brouard  10377:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  10378: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191     brouard  10379:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  10380: #else
1.191     brouard  10381:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  10382: #endif
                   10383: 
1.169     brouard  10384: #if defined(__GNUC__)
                   10385: # if defined(__GNUC_PATCHLEVEL__)
                   10386: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   10387:                             + __GNUC_MINOR__ * 100 \
                   10388:                             + __GNUC_PATCHLEVEL__)
                   10389: # else
                   10390: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   10391:                             + __GNUC_MINOR__ * 100)
                   10392: # endif
1.174     brouard  10393:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191     brouard  10394:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  10395: 
                   10396:    if (uname(&sysInfo) != -1) {
                   10397:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191     brouard  10398:         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  10399:    }
                   10400:    else
                   10401:       perror("uname() error");
1.179     brouard  10402:    //#ifndef __INTEL_COMPILER 
                   10403: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  10404:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191     brouard  10405:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  10406: #endif
1.169     brouard  10407: #endif
1.172     brouard  10408: 
1.286     brouard  10409:    //   void main ()
1.172     brouard  10410:    //   {
1.169     brouard  10411: #if defined(_MSC_VER)
1.174     brouard  10412:    if (IsWow64()){
1.191     brouard  10413:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
                   10414:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  10415:    }
                   10416:    else{
1.191     brouard  10417:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
                   10418:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  10419:    }
1.172     brouard  10420:    //     printf("\nPress Enter to continue...");
                   10421:    //     getchar();
                   10422:    //   }
                   10423: 
1.169     brouard  10424: #endif
                   10425:    
1.167     brouard  10426: 
1.219     brouard  10427: }
1.136     brouard  10428: 
1.219     brouard  10429: int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp){
1.288     brouard  10430:   /*--------------- Prevalence limit  (forward period or forward stable prevalence) --------------*/
1.235     brouard  10431:   int i, j, k, i1, k4=0, nres=0 ;
1.202     brouard  10432:   /* double ftolpl = 1.e-10; */
1.180     brouard  10433:   double age, agebase, agelim;
1.203     brouard  10434:   double tot;
1.180     brouard  10435: 
1.202     brouard  10436:   strcpy(filerespl,"PL_");
                   10437:   strcat(filerespl,fileresu);
                   10438:   if((ficrespl=fopen(filerespl,"w"))==NULL) {
1.288     brouard  10439:     printf("Problem with forward period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   10440:     fprintf(ficlog,"Problem with forward period (stable) prevalence resultfile: %s\n", filerespl);return 1;
1.202     brouard  10441:   }
1.288     brouard  10442:   printf("\nComputing forward period (stable) prevalence: result on file '%s' \n", filerespl);
                   10443:   fprintf(ficlog,"\nComputing forward period (stable) prevalence: result on file '%s' \n", filerespl);
1.202     brouard  10444:   pstamp(ficrespl);
1.288     brouard  10445:   fprintf(ficrespl,"# Forward period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.202     brouard  10446:   fprintf(ficrespl,"#Age ");
                   10447:   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   10448:   fprintf(ficrespl,"\n");
1.180     brouard  10449:   
1.219     brouard  10450:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
1.180     brouard  10451: 
1.219     brouard  10452:   agebase=ageminpar;
                   10453:   agelim=agemaxpar;
1.180     brouard  10454: 
1.227     brouard  10455:   /* i1=pow(2,ncoveff); */
1.234     brouard  10456:   i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
1.219     brouard  10457:   if (cptcovn < 1){i1=1;}
1.180     brouard  10458: 
1.238     brouard  10459:   for(k=1; k<=i1;k++){ /* For each combination k of dummy covariates in the model */
                   10460:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  10461:       if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10462:        continue;
1.235     brouard  10463: 
1.238     brouard  10464:       /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10465:       /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
                   10466:       //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
                   10467:       /* k=k+1; */
                   10468:       /* to clean */
                   10469:       //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   10470:       fprintf(ficrespl,"#******");
                   10471:       printf("#******");
                   10472:       fprintf(ficlog,"#******");
                   10473:       for(j=1;j<=cptcoveff ;j++) {/* all covariates */
                   10474:        fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); /* Here problem for varying dummy*/
                   10475:        printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10476:        fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10477:       }
                   10478:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   10479:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10480:        fprintf(ficrespl," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10481:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10482:       }
                   10483:       fprintf(ficrespl,"******\n");
                   10484:       printf("******\n");
                   10485:       fprintf(ficlog,"******\n");
                   10486:       if(invalidvarcomb[k]){
                   10487:        printf("\nCombination (%d) ignored because no case \n",k); 
                   10488:        fprintf(ficrespl,"#Combination (%d) ignored because no case \n",k); 
                   10489:        fprintf(ficlog,"\nCombination (%d) ignored because no case \n",k); 
                   10490:        continue;
                   10491:       }
1.219     brouard  10492: 
1.238     brouard  10493:       fprintf(ficrespl,"#Age ");
                   10494:       for(j=1;j<=cptcoveff;j++) {
                   10495:        fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10496:       }
                   10497:       for(i=1; i<=nlstate;i++) fprintf(ficrespl,"  %d-%d   ",i,i);
                   10498:       fprintf(ficrespl,"Total Years_to_converge\n");
1.227     brouard  10499:     
1.238     brouard  10500:       for (age=agebase; age<=agelim; age++){
                   10501:        /* for (age=agebase; age<=agebase; age++){ */
                   10502:        prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyearp, k, nres);
                   10503:        fprintf(ficrespl,"%.0f ",age );
                   10504:        for(j=1;j<=cptcoveff;j++)
                   10505:          fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10506:        tot=0.;
                   10507:        for(i=1; i<=nlstate;i++){
                   10508:          tot +=  prlim[i][i];
                   10509:          fprintf(ficrespl," %.5f", prlim[i][i]);
                   10510:        }
                   10511:        fprintf(ficrespl," %.3f %d\n", tot, *ncvyearp);
                   10512:       } /* Age */
                   10513:       /* was end of cptcod */
                   10514:     } /* cptcov */
                   10515:   } /* nres */
1.219     brouard  10516:   return 0;
1.180     brouard  10517: }
                   10518: 
1.218     brouard  10519: 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  10520:        /*--------------- Back Prevalence limit  (backward stable prevalence) --------------*/
1.218     brouard  10521:        
                   10522:        /* Computes the back prevalence limit  for any combination      of covariate values 
                   10523:    * at any age between ageminpar and agemaxpar
                   10524:         */
1.235     brouard  10525:   int i, j, k, i1, nres=0 ;
1.217     brouard  10526:   /* double ftolpl = 1.e-10; */
                   10527:   double age, agebase, agelim;
                   10528:   double tot;
1.218     brouard  10529:   /* double ***mobaverage; */
                   10530:   /* double     **dnewm, **doldm, **dsavm;  /\* for use *\/ */
1.217     brouard  10531: 
                   10532:   strcpy(fileresplb,"PLB_");
                   10533:   strcat(fileresplb,fileresu);
                   10534:   if((ficresplb=fopen(fileresplb,"w"))==NULL) {
1.288     brouard  10535:     printf("Problem with backward prevalence resultfile: %s\n", fileresplb);return 1;
                   10536:     fprintf(ficlog,"Problem with backward prevalence resultfile: %s\n", fileresplb);return 1;
1.217     brouard  10537:   }
1.288     brouard  10538:   printf("Computing backward prevalence: result on file '%s' \n", fileresplb);
                   10539:   fprintf(ficlog,"Computing backward prevalence: result on file '%s' \n", fileresplb);
1.217     brouard  10540:   pstamp(ficresplb);
1.288     brouard  10541:   fprintf(ficresplb,"# Backward prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.217     brouard  10542:   fprintf(ficresplb,"#Age ");
                   10543:   for(i=1; i<=nlstate;i++) fprintf(ficresplb,"%d-%d ",i,i);
                   10544:   fprintf(ficresplb,"\n");
                   10545:   
1.218     brouard  10546:   
                   10547:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   10548:   
                   10549:   agebase=ageminpar;
                   10550:   agelim=agemaxpar;
                   10551:   
                   10552:   
1.227     brouard  10553:   i1=pow(2,cptcoveff);
1.218     brouard  10554:   if (cptcovn < 1){i1=1;}
1.227     brouard  10555:   
1.238     brouard  10556:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   10557:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  10558:      if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10559:        continue;
                   10560:       //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   10561:       fprintf(ficresplb,"#******");
                   10562:       printf("#******");
                   10563:       fprintf(ficlog,"#******");
                   10564:       for(j=1;j<=cptcoveff ;j++) {/* all covariates */
                   10565:        fprintf(ficresplb," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10566:        printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10567:        fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10568:       }
                   10569:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   10570:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10571:        fprintf(ficresplb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10572:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10573:       }
                   10574:       fprintf(ficresplb,"******\n");
                   10575:       printf("******\n");
                   10576:       fprintf(ficlog,"******\n");
                   10577:       if(invalidvarcomb[k]){
                   10578:        printf("\nCombination (%d) ignored because no cases \n",k); 
                   10579:        fprintf(ficresplb,"#Combination (%d) ignored because no cases \n",k); 
                   10580:        fprintf(ficlog,"\nCombination (%d) ignored because no cases \n",k); 
                   10581:        continue;
                   10582:       }
1.218     brouard  10583:     
1.238     brouard  10584:       fprintf(ficresplb,"#Age ");
                   10585:       for(j=1;j<=cptcoveff;j++) {
                   10586:        fprintf(ficresplb,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10587:       }
                   10588:       for(i=1; i<=nlstate;i++) fprintf(ficresplb,"  %d-%d   ",i,i);
                   10589:       fprintf(ficresplb,"Total Years_to_converge\n");
1.218     brouard  10590:     
                   10591:     
1.238     brouard  10592:       for (age=agebase; age<=agelim; age++){
                   10593:        /* for (age=agebase; age<=agebase; age++){ */
                   10594:        if(mobilavproj > 0){
                   10595:          /* bprevalim(bprlim, mobaverage, nlstate, p, age, ageminpar, agemaxpar, oldm, savm, doldm, dsavm, ftolpl, ncvyearp, k); */
                   10596:          /* bprevalim(bprlim, mobaverage, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.242     brouard  10597:          bprevalim(bprlim, mobaverage, nlstate, p, age, ftolpl, ncvyearp, k, nres);
1.238     brouard  10598:        }else if (mobilavproj == 0){
                   10599:          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);
                   10600:          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);
                   10601:          exit(1);
                   10602:        }else{
                   10603:          /* bprevalim(bprlim, probs, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.242     brouard  10604:          bprevalim(bprlim, probs, nlstate, p, age, ftolpl, ncvyearp, k,nres);
1.266     brouard  10605:          /* printf("TOTOT\n"); */
                   10606:           /* exit(1); */
1.238     brouard  10607:        }
                   10608:        fprintf(ficresplb,"%.0f ",age );
                   10609:        for(j=1;j<=cptcoveff;j++)
                   10610:          fprintf(ficresplb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10611:        tot=0.;
                   10612:        for(i=1; i<=nlstate;i++){
                   10613:          tot +=  bprlim[i][i];
                   10614:          fprintf(ficresplb," %.5f", bprlim[i][i]);
                   10615:        }
                   10616:        fprintf(ficresplb," %.3f %d\n", tot, *ncvyearp);
                   10617:       } /* Age */
                   10618:       /* was end of cptcod */
1.255     brouard  10619:       /*fprintf(ficresplb,"\n");*/ /* Seems to be necessary for gnuplot only if two result lines and no covariate. */
1.238     brouard  10620:     } /* end of any combination */
                   10621:   } /* end of nres */  
1.218     brouard  10622:   /* hBijx(p, bage, fage); */
                   10623:   /* fclose(ficrespijb); */
                   10624:   
                   10625:   return 0;
1.217     brouard  10626: }
1.218     brouard  10627:  
1.180     brouard  10628: int hPijx(double *p, int bage, int fage){
                   10629:     /*------------- h Pij x at various ages ------------*/
                   10630: 
                   10631:   int stepsize;
                   10632:   int agelim;
                   10633:   int hstepm;
                   10634:   int nhstepm;
1.235     brouard  10635:   int h, i, i1, j, k, k4, nres=0;
1.180     brouard  10636: 
                   10637:   double agedeb;
                   10638:   double ***p3mat;
                   10639: 
1.201     brouard  10640:     strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
1.180     brouard  10641:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   10642:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   10643:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   10644:     }
                   10645:     printf("Computing pij: result on file '%s' \n", filerespij);
                   10646:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   10647:   
                   10648:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   10649:     /*if (stepm<=24) stepsize=2;*/
                   10650: 
                   10651:     agelim=AGESUP;
                   10652:     hstepm=stepsize*YEARM; /* Every year of age */
                   10653:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
1.218     brouard  10654:                
1.180     brouard  10655:     /* hstepm=1;   aff par mois*/
                   10656:     pstamp(ficrespij);
                   10657:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
1.227     brouard  10658:     i1= pow(2,cptcoveff);
1.218     brouard  10659:                /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10660:                /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   10661:                /*      k=k+1;  */
1.235     brouard  10662:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   10663:     for(k=1; k<=i1;k++){
1.253     brouard  10664:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  10665:        continue;
1.183     brouard  10666:       fprintf(ficrespij,"\n#****** ");
1.227     brouard  10667:       for(j=1;j<=cptcoveff;j++) 
1.198     brouard  10668:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  10669:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   10670:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10671:        fprintf(ficrespij," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10672:       }
1.183     brouard  10673:       fprintf(ficrespij,"******\n");
                   10674:       
                   10675:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   10676:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   10677:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   10678:        
                   10679:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  10680:        
1.183     brouard  10681:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   10682:        oldm=oldms;savm=savms;
1.235     brouard  10683:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k, nres);  
1.183     brouard  10684:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   10685:        for(i=1; i<=nlstate;i++)
                   10686:          for(j=1; j<=nlstate+ndeath;j++)
                   10687:            fprintf(ficrespij," %1d-%1d",i,j);
                   10688:        fprintf(ficrespij,"\n");
                   10689:        for (h=0; h<=nhstepm; h++){
                   10690:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   10691:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  10692:          for(i=1; i<=nlstate;i++)
                   10693:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  10694:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  10695:          fprintf(ficrespij,"\n");
                   10696:        }
1.183     brouard  10697:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   10698:        fprintf(ficrespij,"\n");
                   10699:       }
1.180     brouard  10700:       /*}*/
                   10701:     }
1.218     brouard  10702:     return 0;
1.180     brouard  10703: }
1.218     brouard  10704:  
                   10705:  int hBijx(double *p, int bage, int fage, double ***prevacurrent){
1.217     brouard  10706:     /*------------- h Bij x at various ages ------------*/
                   10707: 
                   10708:   int stepsize;
1.218     brouard  10709:   /* int agelim; */
                   10710:        int ageminl;
1.217     brouard  10711:   int hstepm;
                   10712:   int nhstepm;
1.238     brouard  10713:   int h, i, i1, j, k, nres;
1.218     brouard  10714:        
1.217     brouard  10715:   double agedeb;
                   10716:   double ***p3mat;
1.218     brouard  10717:        
                   10718:   strcpy(filerespijb,"PIJB_");  strcat(filerespijb,fileresu);
                   10719:   if((ficrespijb=fopen(filerespijb,"w"))==NULL) {
                   10720:     printf("Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   10721:     fprintf(ficlog,"Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   10722:   }
                   10723:   printf("Computing pij back: result on file '%s' \n", filerespijb);
                   10724:   fprintf(ficlog,"Computing pij back: result on file '%s' \n", filerespijb);
                   10725:   
                   10726:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   10727:   /*if (stepm<=24) stepsize=2;*/
1.217     brouard  10728:   
1.218     brouard  10729:   /* agelim=AGESUP; */
1.289     brouard  10730:   ageminl=AGEINF; /* was 30 */
1.218     brouard  10731:   hstepm=stepsize*YEARM; /* Every year of age */
                   10732:   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
                   10733:   
                   10734:   /* hstepm=1;   aff par mois*/
                   10735:   pstamp(ficrespijb);
1.255     brouard  10736:   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  10737:   i1= pow(2,cptcoveff);
1.218     brouard  10738:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10739:   /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   10740:   /*   k=k+1;  */
1.238     brouard  10741:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   10742:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  10743:       if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10744:        continue;
                   10745:       fprintf(ficrespijb,"\n#****** ");
                   10746:       for(j=1;j<=cptcoveff;j++)
                   10747:        fprintf(ficrespijb,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10748:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   10749:        fprintf(ficrespijb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10750:       }
                   10751:       fprintf(ficrespijb,"******\n");
1.264     brouard  10752:       if(invalidvarcomb[k]){  /* Is it necessary here? */
1.238     brouard  10753:        fprintf(ficrespijb,"\n#Combination (%d) ignored because no cases \n",k); 
                   10754:        continue;
                   10755:       }
                   10756:       
                   10757:       /* for (agedeb=fage; agedeb>=bage; agedeb--){ /\* If stepm=6 months *\/ */
                   10758:       for (agedeb=bage; agedeb<=fage; agedeb++){ /* If stepm=6 months and estepm=24 (2 years) */
                   10759:        /* nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /\* Typically 20 years = 20*12/6=40 *\/ */
1.297     brouard  10760:        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 */
                   10761:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10, because estepm=24 stepm=6 => hstepm=24/6=4 or 28*/
1.238     brouard  10762:        
                   10763:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
                   10764:        
1.266     brouard  10765:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); /* We can't have it at an upper level because of nhstepm */
                   10766:        /* and memory limitations if stepm is small */
                   10767: 
1.238     brouard  10768:        /* oldm=oldms;savm=savms; */
                   10769:        /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
1.267     brouard  10770:        hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm, k, nres);
1.238     brouard  10771:        /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm, dnewm, doldm, dsavm, k); */
1.255     brouard  10772:        fprintf(ficrespijb,"# Cov Agex agex-h hbijx with i,j=");
1.217     brouard  10773:        for(i=1; i<=nlstate;i++)
                   10774:          for(j=1; j<=nlstate+ndeath;j++)
1.238     brouard  10775:            fprintf(ficrespijb," %1d-%1d",i,j);
1.217     brouard  10776:        fprintf(ficrespijb,"\n");
1.238     brouard  10777:        for (h=0; h<=nhstepm; h++){
                   10778:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   10779:          fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb - h*hstepm/YEARM*stepm );
                   10780:          /* fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm ); */
                   10781:          for(i=1; i<=nlstate;i++)
                   10782:            for(j=1; j<=nlstate+ndeath;j++)
                   10783:              fprintf(ficrespijb," %.5f", p3mat[i][j][h]);
                   10784:          fprintf(ficrespijb,"\n");
                   10785:        }
                   10786:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   10787:        fprintf(ficrespijb,"\n");
                   10788:       } /* end age deb */
                   10789:     } /* end combination */
                   10790:   } /* end nres */
1.218     brouard  10791:   return 0;
                   10792:  } /*  hBijx */
1.217     brouard  10793: 
1.180     brouard  10794: 
1.136     brouard  10795: /***********************************************/
                   10796: /**************** Main Program *****************/
                   10797: /***********************************************/
                   10798: 
                   10799: int main(int argc, char *argv[])
                   10800: {
                   10801: #ifdef GSL
                   10802:   const gsl_multimin_fminimizer_type *T;
                   10803:   size_t iteri = 0, it;
                   10804:   int rval = GSL_CONTINUE;
                   10805:   int status = GSL_SUCCESS;
                   10806:   double ssval;
                   10807: #endif
                   10808:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.290     brouard  10809:   int i,j, k, iter=0,m,size=100, cptcod; /* Suppressing because nobs */
                   10810:   /* int i,j, k, n=MAXN,iter=0,m,size=100, cptcod; */
1.209     brouard  10811:   int ncvyear=0; /* Number of years needed for the period prevalence to converge */
1.164     brouard  10812:   int jj, ll, li, lj, lk;
1.136     brouard  10813:   int numlinepar=0; /* Current linenumber of parameter file */
1.197     brouard  10814:   int num_filled;
1.136     brouard  10815:   int itimes;
                   10816:   int NDIM=2;
                   10817:   int vpopbased=0;
1.235     brouard  10818:   int nres=0;
1.258     brouard  10819:   int endishere=0;
1.277     brouard  10820:   int noffset=0;
1.274     brouard  10821:   int ncurrv=0; /* Temporary variable */
                   10822:   
1.164     brouard  10823:   char ca[32], cb[32];
1.136     brouard  10824:   /*  FILE *fichtm; *//* Html File */
                   10825:   /* FILE *ficgp;*/ /*Gnuplot File */
                   10826:   struct stat info;
1.191     brouard  10827:   double agedeb=0.;
1.194     brouard  10828: 
                   10829:   double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
1.219     brouard  10830:   double ageminout=-AGEOVERFLOW,agemaxout=AGEOVERFLOW; /* Smaller Age range redefined after movingaverage */
1.136     brouard  10831: 
1.165     brouard  10832:   double fret;
1.191     brouard  10833:   double dum=0.; /* Dummy variable */
1.136     brouard  10834:   double ***p3mat;
1.218     brouard  10835:   /* double ***mobaverage; */
1.164     brouard  10836: 
                   10837:   char line[MAXLINE];
1.197     brouard  10838:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
                   10839: 
1.234     brouard  10840:   char  modeltemp[MAXLINE];
1.230     brouard  10841:   char resultline[MAXLINE];
                   10842:   
1.136     brouard  10843:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  10844:   char *tok, *val; /* pathtot */
1.290     brouard  10845:   int firstobs=1, lastobs=10; /* nobs = lastobs-firstobs declared globally ;*/
1.195     brouard  10846:   int c,  h , cpt, c2;
1.191     brouard  10847:   int jl=0;
                   10848:   int i1, j1, jk, stepsize=0;
1.194     brouard  10849:   int count=0;
                   10850: 
1.164     brouard  10851:   int *tab; 
1.136     brouard  10852:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
1.296     brouard  10853:   /* double anprojd, mprojd, jprojd; /\* For eventual projections *\/ */
                   10854:   /* double anprojf, mprojf, jprojf; */
                   10855:   /* double jintmean,mintmean,aintmean;   */
                   10856:   int prvforecast = 0; /* Might be 1 (date of beginning of projection is a choice or 2 is the dateintmean */
                   10857:   int prvbackcast = 0; /* Might be 1 (date of beginning of projection is a choice or 2 is the dateintmean */
                   10858:   double yrfproj= 10.0; /* Number of years of forward projections */
                   10859:   double yrbproj= 10.0; /* Number of years of backward projections */
                   10860:   int prevbcast=0; /* defined as global for mlikeli and mle, replacing backcast */
1.136     brouard  10861:   int mobilav=0,popforecast=0;
1.191     brouard  10862:   int hstepm=0, nhstepm=0;
1.136     brouard  10863:   int agemortsup;
                   10864:   float  sumlpop=0.;
                   10865:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   10866:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   10867: 
1.191     brouard  10868:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  10869:   double ftolpl=FTOL;
                   10870:   double **prlim;
1.217     brouard  10871:   double **bprlim;
1.136     brouard  10872:   double ***param; /* Matrix of parameters */
1.251     brouard  10873:   double ***paramstart; /* Matrix of starting parameter values */
                   10874:   double  *p, *pstart; /* p=param[1][1] pstart is for starting values guessed by freqsummary */
1.136     brouard  10875:   double **matcov; /* Matrix of covariance */
1.203     brouard  10876:   double **hess; /* Hessian matrix */
1.136     brouard  10877:   double ***delti3; /* Scale */
                   10878:   double *delti; /* Scale */
                   10879:   double ***eij, ***vareij;
                   10880:   double **varpl; /* Variances of prevalence limits by age */
1.269     brouard  10881: 
1.136     brouard  10882:   double *epj, vepp;
1.164     brouard  10883: 
1.273     brouard  10884:   double dateprev1, dateprev2;
1.296     brouard  10885:   double jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000, dateproj1=0, dateproj2=0, dateprojd=0, dateprojf=0;
                   10886:   double jback1=1,mback1=1,anback1=2000,jback2=1,mback2=1,anback2=2000, dateback1=0, dateback2=0, datebackd=0, datebackf=0;
                   10887: 
1.217     brouard  10888: 
1.136     brouard  10889:   double **ximort;
1.145     brouard  10890:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  10891:   int *dcwave;
                   10892: 
1.164     brouard  10893:   char z[1]="c";
1.136     brouard  10894: 
                   10895:   /*char  *strt;*/
                   10896:   char strtend[80];
1.126     brouard  10897: 
1.164     brouard  10898: 
1.126     brouard  10899: /*   setlocale (LC_ALL, ""); */
                   10900: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   10901: /*   textdomain (PACKAGE); */
                   10902: /*   setlocale (LC_CTYPE, ""); */
                   10903: /*   setlocale (LC_MESSAGES, ""); */
                   10904: 
                   10905:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  10906:   rstart_time = time(NULL);  
                   10907:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   10908:   start_time = *localtime(&rstart_time);
1.126     brouard  10909:   curr_time=start_time;
1.157     brouard  10910:   /*tml = *localtime(&start_time.tm_sec);*/
                   10911:   /* strcpy(strstart,asctime(&tml)); */
                   10912:   strcpy(strstart,asctime(&start_time));
1.126     brouard  10913: 
                   10914: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  10915: /*  tp.tm_sec = tp.tm_sec +86400; */
                   10916: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  10917: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   10918: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   10919: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  10920: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  10921: /*   strt=asctime(&tmg); */
                   10922: /*   printf("Time(after) =%s",strstart);  */
                   10923: /*  (void) time (&time_value);
                   10924: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   10925: *  tm = *localtime(&time_value);
                   10926: *  strstart=asctime(&tm);
                   10927: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   10928: */
                   10929: 
                   10930:   nberr=0; /* Number of errors and warnings */
                   10931:   nbwarn=0;
1.184     brouard  10932: #ifdef WIN32
                   10933:   _getcwd(pathcd, size);
                   10934: #else
1.126     brouard  10935:   getcwd(pathcd, size);
1.184     brouard  10936: #endif
1.191     brouard  10937:   syscompilerinfo(0);
1.196     brouard  10938:   printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
1.126     brouard  10939:   if(argc <=1){
                   10940:     printf("\nEnter the parameter file name: ");
1.205     brouard  10941:     if(!fgets(pathr,FILENAMELENGTH,stdin)){
                   10942:       printf("ERROR Empty parameter file name\n");
                   10943:       goto end;
                   10944:     }
1.126     brouard  10945:     i=strlen(pathr);
                   10946:     if(pathr[i-1]=='\n')
                   10947:       pathr[i-1]='\0';
1.156     brouard  10948:     i=strlen(pathr);
1.205     brouard  10949:     if(i >= 1 && pathr[i-1]==' ') {/* This may happen when dragging on oS/X! */
1.156     brouard  10950:       pathr[i-1]='\0';
1.205     brouard  10951:     }
                   10952:     i=strlen(pathr);
                   10953:     if( i==0 ){
                   10954:       printf("ERROR Empty parameter file name\n");
                   10955:       goto end;
                   10956:     }
                   10957:     for (tok = pathr; tok != NULL; ){
1.126     brouard  10958:       printf("Pathr |%s|\n",pathr);
                   10959:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   10960:       printf("val= |%s| pathr=%s\n",val,pathr);
                   10961:       strcpy (pathtot, val);
                   10962:       if(pathr[0] == '\0') break; /* Dirty */
                   10963:     }
                   10964:   }
1.281     brouard  10965:   else if (argc<=2){
                   10966:     strcpy(pathtot,argv[1]);
                   10967:   }
1.126     brouard  10968:   else{
                   10969:     strcpy(pathtot,argv[1]);
1.281     brouard  10970:     strcpy(z,argv[2]);
                   10971:     printf("\nargv[2]=%s z=%c\n",argv[2],z[0]);
1.126     brouard  10972:   }
                   10973:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   10974:   /*cygwin_split_path(pathtot,path,optionfile);
                   10975:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   10976:   /* cutv(path,optionfile,pathtot,'\\');*/
                   10977: 
                   10978:   /* Split argv[0], imach program to get pathimach */
                   10979:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   10980:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   10981:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   10982:  /*   strcpy(pathimach,argv[0]); */
                   10983:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   10984:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   10985:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  10986: #ifdef WIN32
                   10987:   _chdir(path); /* Can be a relative path */
                   10988:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   10989: #else
1.126     brouard  10990:   chdir(path); /* Can be a relative path */
1.184     brouard  10991:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   10992: #endif
                   10993:   printf("Current directory %s!\n",pathcd);
1.126     brouard  10994:   strcpy(command,"mkdir ");
                   10995:   strcat(command,optionfilefiname);
                   10996:   if((outcmd=system(command)) != 0){
1.169     brouard  10997:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  10998:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   10999:     /* fclose(ficlog); */
                   11000: /*     exit(1); */
                   11001:   }
                   11002: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   11003: /*     perror("mkdir"); */
                   11004: /*   } */
                   11005: 
                   11006:   /*-------- arguments in the command line --------*/
                   11007: 
1.186     brouard  11008:   /* Main Log file */
1.126     brouard  11009:   strcat(filelog, optionfilefiname);
                   11010:   strcat(filelog,".log");    /* */
                   11011:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   11012:     printf("Problem with logfile %s\n",filelog);
                   11013:     goto end;
                   11014:   }
                   11015:   fprintf(ficlog,"Log filename:%s\n",filelog);
1.197     brouard  11016:   fprintf(ficlog,"Version %s %s",version,fullversion);
1.126     brouard  11017:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   11018:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   11019:  path=%s \n\
                   11020:  optionfile=%s\n\
                   11021:  optionfilext=%s\n\
1.156     brouard  11022:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  11023: 
1.197     brouard  11024:   syscompilerinfo(1);
1.167     brouard  11025: 
1.126     brouard  11026:   printf("Local time (at start):%s",strstart);
                   11027:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   11028:   fflush(ficlog);
                   11029: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  11030: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  11031: 
                   11032:   /* */
                   11033:   strcpy(fileres,"r");
                   11034:   strcat(fileres, optionfilefiname);
1.201     brouard  11035:   strcat(fileresu, optionfilefiname); /* Without r in front */
1.126     brouard  11036:   strcat(fileres,".txt");    /* Other files have txt extension */
1.201     brouard  11037:   strcat(fileresu,".txt");    /* Other files have txt extension */
1.126     brouard  11038: 
1.186     brouard  11039:   /* Main ---------arguments file --------*/
1.126     brouard  11040: 
                   11041:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  11042:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   11043:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  11044:     fflush(ficlog);
1.149     brouard  11045:     /* goto end; */
                   11046:     exit(70); 
1.126     brouard  11047:   }
                   11048: 
                   11049:   strcpy(filereso,"o");
1.201     brouard  11050:   strcat(filereso,fileresu);
1.126     brouard  11051:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   11052:     printf("Problem with Output resultfile: %s\n", filereso);
                   11053:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   11054:     fflush(ficlog);
                   11055:     goto end;
                   11056:   }
1.278     brouard  11057:       /*-------- Rewriting parameter file ----------*/
                   11058:   strcpy(rfileres,"r");    /* "Rparameterfile */
                   11059:   strcat(rfileres,optionfilefiname);    /* Parameter file first name */
                   11060:   strcat(rfileres,".");    /* */
                   11061:   strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   11062:   if((ficres =fopen(rfileres,"w"))==NULL) {
                   11063:     printf("Problem writing new parameter file: %s\n", rfileres);goto end;
                   11064:     fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
                   11065:     fflush(ficlog);
                   11066:     goto end;
                   11067:   }
                   11068:   fprintf(ficres,"#IMaCh %s\n",version);
1.126     brouard  11069: 
1.278     brouard  11070:                                      
1.126     brouard  11071:   /* Reads comments: lines beginning with '#' */
                   11072:   numlinepar=0;
1.277     brouard  11073:   /* Is it a BOM UTF-8 Windows file? */
                   11074:   /* First parameter line */
1.197     brouard  11075:   while(fgets(line, MAXLINE, ficpar)) {
1.277     brouard  11076:     noffset=0;
                   11077:     if( line[0] == (char)0xEF && line[1] == (char)0xBB) /* EF BB BF */
                   11078:     {
                   11079:       noffset=noffset+3;
                   11080:       printf("# File is an UTF8 Bom.\n"); // 0xBF
                   11081:     }
                   11082:     else if( line[0] == (char)0xFE && line[1] == (char)0xFF)
                   11083:     {
                   11084:       noffset=noffset+2;
                   11085:       printf("# File is an UTF16BE BOM file\n");
                   11086:     }
                   11087:     else if( line[0] == 0 && line[1] == 0)
                   11088:     {
                   11089:       if( line[2] == (char)0xFE && line[3] == (char)0xFF){
                   11090:        noffset=noffset+4;
                   11091:        printf("# File is an UTF16BE BOM file\n");
                   11092:       }
                   11093:     } else{
                   11094:       ;/*printf(" Not a BOM file\n");*/
                   11095:     }
                   11096:   
1.197     brouard  11097:     /* If line starts with a # it is a comment */
1.277     brouard  11098:     if (line[noffset] == '#') {
1.197     brouard  11099:       numlinepar++;
                   11100:       fputs(line,stdout);
                   11101:       fputs(line,ficparo);
1.278     brouard  11102:       fputs(line,ficres);
1.197     brouard  11103:       fputs(line,ficlog);
                   11104:       continue;
                   11105:     }else
                   11106:       break;
                   11107:   }
                   11108:   if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                   11109:                        title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
                   11110:     if (num_filled != 5) {
                   11111:       printf("Should be 5 parameters\n");
1.283     brouard  11112:       fprintf(ficlog,"Should be 5 parameters\n");
1.197     brouard  11113:     }
1.126     brouard  11114:     numlinepar++;
1.197     brouard  11115:     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
1.283     brouard  11116:     fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   11117:     fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   11118:     fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
1.197     brouard  11119:   }
                   11120:   /* Second parameter line */
                   11121:   while(fgets(line, MAXLINE, ficpar)) {
1.283     brouard  11122:     /* while(fscanf(ficpar,"%[^\n]", line)) { */
                   11123:     /* If line starts with a # it is a comment. Strangely fgets reads the EOL and fputs doesn't */
1.197     brouard  11124:     if (line[0] == '#') {
                   11125:       numlinepar++;
1.283     brouard  11126:       printf("%s",line);
                   11127:       fprintf(ficres,"%s",line);
                   11128:       fprintf(ficparo,"%s",line);
                   11129:       fprintf(ficlog,"%s",line);
1.197     brouard  11130:       continue;
                   11131:     }else
                   11132:       break;
                   11133:   }
1.223     brouard  11134:   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", \
                   11135:                        &ftol, &stepm, &ncovcol, &nqv, &ntv, &nqtv, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
                   11136:     if (num_filled != 11) {
                   11137:       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  11138:       printf("but line=%s\n",line);
1.283     brouard  11139:       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");
                   11140:       fprintf(ficlog,"but line=%s\n",line);
1.197     brouard  11141:     }
1.286     brouard  11142:     if( lastpass > maxwav){
                   11143:       printf("Error (lastpass = %d) > (maxwav = %d)\n",lastpass, maxwav);
                   11144:       fprintf(ficlog,"Error (lastpass = %d) > (maxwav = %d)\n",lastpass, maxwav);
                   11145:       fflush(ficlog);
                   11146:       goto end;
                   11147:     }
                   11148:       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  11149:     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  11150:     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  11151:     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  11152:   }
1.203     brouard  11153:   /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
1.209     brouard  11154:   /*ftolpl=6.e-4; *//* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
1.197     brouard  11155:   /* Third parameter line */
                   11156:   while(fgets(line, MAXLINE, ficpar)) {
                   11157:     /* If line starts with a # it is a comment */
                   11158:     if (line[0] == '#') {
                   11159:       numlinepar++;
1.283     brouard  11160:       printf("%s",line);
                   11161:       fprintf(ficres,"%s",line);
                   11162:       fprintf(ficparo,"%s",line);
                   11163:       fprintf(ficlog,"%s",line);
1.197     brouard  11164:       continue;
                   11165:     }else
                   11166:       break;
                   11167:   }
1.201     brouard  11168:   if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){
1.279     brouard  11169:     if (num_filled != 1){
                   11170:       printf("ERROR %d: Model should be at minimum 'model=1+age' %s\n",num_filled, line);
                   11171:       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age' %s\n",num_filled, line);
1.197     brouard  11172:       model[0]='\0';
                   11173:       goto end;
                   11174:     }
                   11175:     else{
                   11176:       if (model[0]=='+'){
                   11177:        for(i=1; i<=strlen(model);i++)
                   11178:          modeltemp[i-1]=model[i];
1.201     brouard  11179:        strcpy(model,modeltemp); 
1.197     brouard  11180:       }
                   11181:     }
1.199     brouard  11182:     /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
1.203     brouard  11183:     printf("model=1+age+%s\n",model);fflush(stdout);
1.283     brouard  11184:     fprintf(ficparo,"model=1+age+%s\n",model);fflush(stdout);
                   11185:     fprintf(ficres,"model=1+age+%s\n",model);fflush(stdout);
                   11186:     fprintf(ficlog,"model=1+age+%s\n",model);fflush(stdout);
1.197     brouard  11187:   }
                   11188:   /* 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); */
                   11189:   /* numlinepar=numlinepar+3; /\* In general *\/ */
                   11190:   /* 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  11191:   /* 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); */
                   11192:   /* 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  11193:   fflush(ficlog);
1.190     brouard  11194:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   11195:   if(model[0]=='#'){
1.279     brouard  11196:     printf("Error in 'model' line: model should start with 'model=1+age+' and end without space \n \
                   11197:  'model=1+age+' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age' or \n \
                   11198:  'model=1+age+V1+V2' or 'model=1+age+V1+V2+V1*V2' etc. \n");           \
1.187     brouard  11199:     if(mle != -1){
1.279     brouard  11200:       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  11201:       exit(1);
                   11202:     }
                   11203:   }
1.126     brouard  11204:   while((c=getc(ficpar))=='#' && c!= EOF){
                   11205:     ungetc(c,ficpar);
                   11206:     fgets(line, MAXLINE, ficpar);
                   11207:     numlinepar++;
1.195     brouard  11208:     if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
                   11209:       z[0]=line[1];
                   11210:     }
                   11211:     /* printf("****line [1] = %c \n",line[1]); */
1.141     brouard  11212:     fputs(line, stdout);
                   11213:     //puts(line);
1.126     brouard  11214:     fputs(line,ficparo);
                   11215:     fputs(line,ficlog);
                   11216:   }
                   11217:   ungetc(c,ficpar);
                   11218: 
                   11219:    
1.290     brouard  11220:   covar=matrix(0,NCOVMAX,firstobs,lastobs);  /**< used in readdata */
                   11221:   if(nqv>=1)coqvar=matrix(1,nqv,firstobs,lastobs);  /**< Fixed quantitative covariate */
                   11222:   if(nqtv>=1)cotqvar=ma3x(1,maxwav,1,nqtv,firstobs,lastobs);  /**< Time varying quantitative covariate */
                   11223:   if(ntv+nqtv>=1)cotvar=ma3x(1,maxwav,1,ntv+nqtv,firstobs,lastobs);  /**< Time varying covariate (dummy and quantitative)*/
1.136     brouard  11224:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   11225:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   11226:      v1+v2*age+v2*v3 makes cptcovn = 3
                   11227:   */
                   11228:   if (strlen(model)>1) 
1.187     brouard  11229:     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  11230:   else
1.187     brouard  11231:     ncovmodel=2; /* Constant and age */
1.133     brouard  11232:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   11233:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  11234:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   11235:     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);
                   11236:     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);
                   11237:     fflush(stdout);
                   11238:     fclose (ficlog);
                   11239:     goto end;
                   11240:   }
1.126     brouard  11241:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   11242:   delti=delti3[1][1];
                   11243:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   11244:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
1.247     brouard  11245: /* We could also provide initial parameters values giving by simple logistic regression 
                   11246:  * only one way, that is without matrix product. We will have nlstate maximizations */
                   11247:       /* for(i=1;i<nlstate;i++){ */
                   11248:       /*       /\*reducing xi for 1 to npar to 1 to ncovmodel; *\/ */
                   11249:       /*    mlikeli(ficres,p, ncovmodel, ncovmodel, nlstate, ftol, funcnoprod); */
                   11250:       /* } */
1.126     brouard  11251:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191     brouard  11252:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
                   11253:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  11254:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   11255:     fclose (ficparo);
                   11256:     fclose (ficlog);
                   11257:     goto end;
                   11258:     exit(0);
1.220     brouard  11259:   }  else if(mle==-5) { /* Main Wizard */
1.126     brouard  11260:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.192     brouard  11261:     printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   11262:     fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  11263:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   11264:     matcov=matrix(1,npar,1,npar);
1.203     brouard  11265:     hess=matrix(1,npar,1,npar);
1.220     brouard  11266:   }  else{ /* Begin of mle != -1 or -5 */
1.145     brouard  11267:     /* Read guessed parameters */
1.126     brouard  11268:     /* Reads comments: lines beginning with '#' */
                   11269:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11270:       ungetc(c,ficpar);
                   11271:       fgets(line, MAXLINE, ficpar);
                   11272:       numlinepar++;
1.141     brouard  11273:       fputs(line,stdout);
1.126     brouard  11274:       fputs(line,ficparo);
                   11275:       fputs(line,ficlog);
                   11276:     }
                   11277:     ungetc(c,ficpar);
                   11278:     
                   11279:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
1.251     brouard  11280:     paramstart= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
1.126     brouard  11281:     for(i=1; i <=nlstate; i++){
1.234     brouard  11282:       j=0;
1.126     brouard  11283:       for(jj=1; jj <=nlstate+ndeath; jj++){
1.234     brouard  11284:        if(jj==i) continue;
                   11285:        j++;
1.292     brouard  11286:        while((c=getc(ficpar))=='#' && c!= EOF){
                   11287:          ungetc(c,ficpar);
                   11288:          fgets(line, MAXLINE, ficpar);
                   11289:          numlinepar++;
                   11290:          fputs(line,stdout);
                   11291:          fputs(line,ficparo);
                   11292:          fputs(line,ficlog);
                   11293:        }
                   11294:        ungetc(c,ficpar);
1.234     brouard  11295:        fscanf(ficpar,"%1d%1d",&i1,&j1);
                   11296:        if ((i1 != i) || (j1 != jj)){
                   11297:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
1.126     brouard  11298: It might be a problem of design; if ncovcol and the model are correct\n \
                   11299: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
1.234     brouard  11300:          exit(1);
                   11301:        }
                   11302:        fprintf(ficparo,"%1d%1d",i1,j1);
                   11303:        if(mle==1)
                   11304:          printf("%1d%1d",i,jj);
                   11305:        fprintf(ficlog,"%1d%1d",i,jj);
                   11306:        for(k=1; k<=ncovmodel;k++){
                   11307:          fscanf(ficpar," %lf",&param[i][j][k]);
                   11308:          if(mle==1){
                   11309:            printf(" %lf",param[i][j][k]);
                   11310:            fprintf(ficlog," %lf",param[i][j][k]);
                   11311:          }
                   11312:          else
                   11313:            fprintf(ficlog," %lf",param[i][j][k]);
                   11314:          fprintf(ficparo," %lf",param[i][j][k]);
                   11315:        }
                   11316:        fscanf(ficpar,"\n");
                   11317:        numlinepar++;
                   11318:        if(mle==1)
                   11319:          printf("\n");
                   11320:        fprintf(ficlog,"\n");
                   11321:        fprintf(ficparo,"\n");
1.126     brouard  11322:       }
                   11323:     }  
                   11324:     fflush(ficlog);
1.234     brouard  11325:     
1.251     brouard  11326:     /* Reads parameters values */
1.126     brouard  11327:     p=param[1][1];
1.251     brouard  11328:     pstart=paramstart[1][1];
1.126     brouard  11329:     
                   11330:     /* Reads comments: lines beginning with '#' */
                   11331:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11332:       ungetc(c,ficpar);
                   11333:       fgets(line, MAXLINE, ficpar);
                   11334:       numlinepar++;
1.141     brouard  11335:       fputs(line,stdout);
1.126     brouard  11336:       fputs(line,ficparo);
                   11337:       fputs(line,ficlog);
                   11338:     }
                   11339:     ungetc(c,ficpar);
                   11340: 
                   11341:     for(i=1; i <=nlstate; i++){
                   11342:       for(j=1; j <=nlstate+ndeath-1; j++){
1.234     brouard  11343:        fscanf(ficpar,"%1d%1d",&i1,&j1);
                   11344:        if ( (i1-i) * (j1-j) != 0){
                   11345:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   11346:          exit(1);
                   11347:        }
                   11348:        printf("%1d%1d",i,j);
                   11349:        fprintf(ficparo,"%1d%1d",i1,j1);
                   11350:        fprintf(ficlog,"%1d%1d",i1,j1);
                   11351:        for(k=1; k<=ncovmodel;k++){
                   11352:          fscanf(ficpar,"%le",&delti3[i][j][k]);
                   11353:          printf(" %le",delti3[i][j][k]);
                   11354:          fprintf(ficparo," %le",delti3[i][j][k]);
                   11355:          fprintf(ficlog," %le",delti3[i][j][k]);
                   11356:        }
                   11357:        fscanf(ficpar,"\n");
                   11358:        numlinepar++;
                   11359:        printf("\n");
                   11360:        fprintf(ficparo,"\n");
                   11361:        fprintf(ficlog,"\n");
1.126     brouard  11362:       }
                   11363:     }
                   11364:     fflush(ficlog);
1.234     brouard  11365:     
1.145     brouard  11366:     /* Reads covariance matrix */
1.126     brouard  11367:     delti=delti3[1][1];
1.220     brouard  11368:                
                   11369:                
1.126     brouard  11370:     /* 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  11371:                
1.126     brouard  11372:     /* Reads comments: lines beginning with '#' */
                   11373:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11374:       ungetc(c,ficpar);
                   11375:       fgets(line, MAXLINE, ficpar);
                   11376:       numlinepar++;
1.141     brouard  11377:       fputs(line,stdout);
1.126     brouard  11378:       fputs(line,ficparo);
                   11379:       fputs(line,ficlog);
                   11380:     }
                   11381:     ungetc(c,ficpar);
1.220     brouard  11382:                
1.126     brouard  11383:     matcov=matrix(1,npar,1,npar);
1.203     brouard  11384:     hess=matrix(1,npar,1,npar);
1.131     brouard  11385:     for(i=1; i <=npar; i++)
                   11386:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
1.220     brouard  11387:                
1.194     brouard  11388:     /* Scans npar lines */
1.126     brouard  11389:     for(i=1; i <=npar; i++){
1.226     brouard  11390:       count=fscanf(ficpar,"%1d%1d%d",&i1,&j1,&jk);
1.194     brouard  11391:       if(count != 3){
1.226     brouard  11392:        printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  11393: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   11394: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  11395:        fprintf(ficlog,"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:        exit(1);
1.220     brouard  11399:       }else{
1.226     brouard  11400:        if(mle==1)
                   11401:          printf("%1d%1d%d",i1,j1,jk);
                   11402:       }
                   11403:       fprintf(ficlog,"%1d%1d%d",i1,j1,jk);
                   11404:       fprintf(ficparo,"%1d%1d%d",i1,j1,jk);
1.126     brouard  11405:       for(j=1; j <=i; j++){
1.226     brouard  11406:        fscanf(ficpar," %le",&matcov[i][j]);
                   11407:        if(mle==1){
                   11408:          printf(" %.5le",matcov[i][j]);
                   11409:        }
                   11410:        fprintf(ficlog," %.5le",matcov[i][j]);
                   11411:        fprintf(ficparo," %.5le",matcov[i][j]);
1.126     brouard  11412:       }
                   11413:       fscanf(ficpar,"\n");
                   11414:       numlinepar++;
                   11415:       if(mle==1)
1.220     brouard  11416:                                printf("\n");
1.126     brouard  11417:       fprintf(ficlog,"\n");
                   11418:       fprintf(ficparo,"\n");
                   11419:     }
1.194     brouard  11420:     /* End of read covariance matrix npar lines */
1.126     brouard  11421:     for(i=1; i <=npar; i++)
                   11422:       for(j=i+1;j<=npar;j++)
1.226     brouard  11423:        matcov[i][j]=matcov[j][i];
1.126     brouard  11424:     
                   11425:     if(mle==1)
                   11426:       printf("\n");
                   11427:     fprintf(ficlog,"\n");
                   11428:     
                   11429:     fflush(ficlog);
                   11430:     
                   11431:   }    /* End of mle != -3 */
1.218     brouard  11432:   
1.186     brouard  11433:   /*  Main data
                   11434:    */
1.290     brouard  11435:   nobs=lastobs-firstobs+1; /* was = lastobs;*/
                   11436:   /* num=lvector(1,n); */
                   11437:   /* moisnais=vector(1,n); */
                   11438:   /* annais=vector(1,n); */
                   11439:   /* moisdc=vector(1,n); */
                   11440:   /* andc=vector(1,n); */
                   11441:   /* weight=vector(1,n); */
                   11442:   /* agedc=vector(1,n); */
                   11443:   /* cod=ivector(1,n); */
                   11444:   /* for(i=1;i<=n;i++){ */
                   11445:   num=lvector(firstobs,lastobs);
                   11446:   moisnais=vector(firstobs,lastobs);
                   11447:   annais=vector(firstobs,lastobs);
                   11448:   moisdc=vector(firstobs,lastobs);
                   11449:   andc=vector(firstobs,lastobs);
                   11450:   weight=vector(firstobs,lastobs);
                   11451:   agedc=vector(firstobs,lastobs);
                   11452:   cod=ivector(firstobs,lastobs);
                   11453:   for(i=firstobs;i<=lastobs;i++){
1.234     brouard  11454:     num[i]=0;
                   11455:     moisnais[i]=0;
                   11456:     annais[i]=0;
                   11457:     moisdc[i]=0;
                   11458:     andc[i]=0;
                   11459:     agedc[i]=0;
                   11460:     cod[i]=0;
                   11461:     weight[i]=1.0; /* Equal weights, 1 by default */
                   11462:   }
1.290     brouard  11463:   mint=matrix(1,maxwav,firstobs,lastobs);
                   11464:   anint=matrix(1,maxwav,firstobs,lastobs);
                   11465:   s=imatrix(1,maxwav+1,firstobs,lastobs); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  11466:   tab=ivector(1,NCOVMAX);
1.144     brouard  11467:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.192     brouard  11468:   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  11469: 
1.136     brouard  11470:   /* Reads data from file datafile */
                   11471:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   11472:     goto end;
                   11473: 
                   11474:   /* Calculation of the number of parameters from char model */
1.234     brouard  11475:   /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
1.137     brouard  11476:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   11477:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   11478:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   11479:        k=1 Tvar[1]=2 (from V2)
1.234     brouard  11480:   */
                   11481:   
                   11482:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
                   11483:   TvarsDind=ivector(1,NCOVMAX); /*  */
                   11484:   TvarsD=ivector(1,NCOVMAX); /*  */
                   11485:   TvarsQind=ivector(1,NCOVMAX); /*  */
                   11486:   TvarsQ=ivector(1,NCOVMAX); /*  */
1.232     brouard  11487:   TvarF=ivector(1,NCOVMAX); /*  */
                   11488:   TvarFind=ivector(1,NCOVMAX); /*  */
                   11489:   TvarV=ivector(1,NCOVMAX); /*  */
                   11490:   TvarVind=ivector(1,NCOVMAX); /*  */
                   11491:   TvarA=ivector(1,NCOVMAX); /*  */
                   11492:   TvarAind=ivector(1,NCOVMAX); /*  */
1.231     brouard  11493:   TvarFD=ivector(1,NCOVMAX); /*  */
                   11494:   TvarFDind=ivector(1,NCOVMAX); /*  */
                   11495:   TvarFQ=ivector(1,NCOVMAX); /*  */
                   11496:   TvarFQind=ivector(1,NCOVMAX); /*  */
                   11497:   TvarVD=ivector(1,NCOVMAX); /*  */
                   11498:   TvarVDind=ivector(1,NCOVMAX); /*  */
                   11499:   TvarVQ=ivector(1,NCOVMAX); /*  */
                   11500:   TvarVQind=ivector(1,NCOVMAX); /*  */
                   11501: 
1.230     brouard  11502:   Tvalsel=vector(1,NCOVMAX); /*  */
1.233     brouard  11503:   Tvarsel=ivector(1,NCOVMAX); /*  */
1.226     brouard  11504:   Typevar=ivector(-1,NCOVMAX); /* -1 to 2 */
                   11505:   Fixed=ivector(-1,NCOVMAX); /* -1 to 3 */
                   11506:   Dummy=ivector(-1,NCOVMAX); /* -1 to 3 */
1.137     brouard  11507:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   11508:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   11509:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   11510:   */
                   11511:   /* For model-covariate k tells which data-covariate to use but
                   11512:     because this model-covariate is a construction we invent a new column
                   11513:     ncovcol + k1
                   11514:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   11515:     Tvar[3=V1*V4]=4+1 etc */
1.227     brouard  11516:   Tprod=ivector(1,NCOVMAX); /* Gives the k position of the k1 product */
                   11517:   Tposprod=ivector(1,NCOVMAX); /* Gives the k1 product from the k position */
1.137     brouard  11518:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   11519:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
1.227     brouard  11520:      Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5]=2 
1.137     brouard  11521:   */
1.145     brouard  11522:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   11523:   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  11524:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   11525:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  11526:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  11527:                         4 covariates (3 plus signs)
                   11528:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   11529:                      */  
1.230     brouard  11530:   Tmodelind=ivector(1,NCOVMAX);/** gives the k model position of an
1.227     brouard  11531:                                * individual dummy, fixed or varying:
                   11532:                                * Tmodelind[Tvaraff[3]]=9,Tvaraff[1]@9={4,
                   11533:                                * 3, 1, 0, 0, 0, 0, 0, 0},
1.230     brouard  11534:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 , 
                   11535:                                * V1 df, V2 qf, V3 & V4 dv, V5 qv
                   11536:                                * Tmodelind[1]@9={9,0,3,2,}*/
                   11537:   TmodelInvind=ivector(1,NCOVMAX); /* TmodelInvind=Tvar[k]- ncovcol-nqv={5-2-1=2,*/
                   11538:   TmodelInvQind=ivector(1,NCOVMAX);/** gives the k model position of an
1.228     brouard  11539:                                * individual quantitative, fixed or varying:
                   11540:                                * Tmodelqind[1]=1,Tvaraff[1]@9={4,
                   11541:                                * 3, 1, 0, 0, 0, 0, 0, 0},
                   11542:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
1.186     brouard  11543: /* Main decodemodel */
                   11544: 
1.187     brouard  11545: 
1.223     brouard  11546:   if(decodemodel(model, lastobs) == 1) /* In order to get Tvar[k] V4+V3+V5 p Tvar[1]@3  = {4, 3, 5}*/
1.136     brouard  11547:     goto end;
                   11548: 
1.137     brouard  11549:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   11550:     nbwarn++;
                   11551:     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); 
                   11552:     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); 
                   11553:   }
1.136     brouard  11554:     /*  if(mle==1){*/
1.137     brouard  11555:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   11556:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  11557:   }
                   11558: 
                   11559:     /*-calculation of age at interview from date of interview and age at death -*/
                   11560:   agev=matrix(1,maxwav,1,imx);
                   11561: 
                   11562:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   11563:     goto end;
                   11564: 
1.126     brouard  11565: 
1.136     brouard  11566:   agegomp=(int)agemin;
1.290     brouard  11567:   free_vector(moisnais,firstobs,lastobs);
                   11568:   free_vector(annais,firstobs,lastobs);
1.126     brouard  11569:   /* free_matrix(mint,1,maxwav,1,n);
                   11570:      free_matrix(anint,1,maxwav,1,n);*/
1.215     brouard  11571:   /* free_vector(moisdc,1,n); */
                   11572:   /* free_vector(andc,1,n); */
1.145     brouard  11573:   /* */
                   11574:   
1.126     brouard  11575:   wav=ivector(1,imx);
1.214     brouard  11576:   /* dh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11577:   /* bh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11578:   /* mw=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11579:   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.*/
                   11580:   bh=imatrix(1,lastpass-firstpass+2,1,imx);
                   11581:   mw=imatrix(1,lastpass-firstpass+2,1,imx);
1.126     brouard  11582:    
                   11583:   /* Concatenates waves */
1.214     brouard  11584:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   11585:      Death is a valid wave (if date is known).
                   11586:      mw[mi][i] is the number of (mi=1 to wav[i]) effective wave out of mi of individual i
                   11587:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   11588:      and mw[mi+1][i]. dh depends on stepm.
                   11589:   */
                   11590: 
1.126     brouard  11591:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.248     brouard  11592:   /* Concatenates waves */
1.145     brouard  11593:  
1.290     brouard  11594:   free_vector(moisdc,firstobs,lastobs);
                   11595:   free_vector(andc,firstobs,lastobs);
1.215     brouard  11596: 
1.126     brouard  11597:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   11598:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   11599:   ncodemax[1]=1;
1.145     brouard  11600:   Ndum =ivector(-1,NCOVMAX);  
1.225     brouard  11601:   cptcoveff=0;
1.220     brouard  11602:   if (ncovmodel-nagesqr > 2 ){ /* That is if covariate other than cst, age and age*age */
                   11603:     tricode(&cptcoveff,Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
1.227     brouard  11604:   }
                   11605:   
                   11606:   ncovcombmax=pow(2,cptcoveff);
                   11607:   invalidvarcomb=ivector(1, ncovcombmax); 
                   11608:   for(i=1;i<ncovcombmax;i++)
                   11609:     invalidvarcomb[i]=0;
                   11610:   
1.211     brouard  11611:   /* Nbcode gives the value of the lth modality (currently 1 to 2) of jth covariate, in
1.186     brouard  11612:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
1.211     brouard  11613:   /* 1 to ncodemax[j] which is the maximum value of this jth covariate */
1.227     brouard  11614:   
1.200     brouard  11615:   /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
1.198     brouard  11616:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
1.186     brouard  11617:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.211     brouard  11618:   /* nbcode[Tvaraff[j]][codtabm(h,j)]) : if there are only 2 modalities for a covariate j, 
                   11619:    * codtabm(h,j) gives its value classified at position h and nbcode gives how it is coded 
                   11620:    * (currently 0 or 1) in the data.
                   11621:    * In a loop on h=1 to 2**k, and a loop on j (=1 to k), we get the value of 
                   11622:    * corresponding modality (h,j).
                   11623:    */
                   11624: 
1.145     brouard  11625:   h=0;
                   11626:   /*if (cptcovn > 0) */
1.126     brouard  11627:   m=pow(2,cptcoveff);
                   11628:  
1.144     brouard  11629:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.211     brouard  11630:           * For k=4 covariates, h goes from 1 to m=2**k
                   11631:           * codtabm(h,k)=  (1 & (h-1) >> (k-1)) + 1;
                   11632:            * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.186     brouard  11633:           *     h\k   1     2     3     4
1.143     brouard  11634:           *______________________________  
                   11635:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   11636:           *     2     2     1     1     1
                   11637:           *     3 i=2 1     2     1     1
                   11638:           *     4     2     2     1     1
                   11639:           *     5 i=3 1 i=2 1     2     1
                   11640:           *     6     2     1     2     1
                   11641:           *     7 i=4 1     2     2     1
                   11642:           *     8     2     2     2     1
1.197     brouard  11643:           *     9 i=5 1 i=3 1 i=2 1     2
                   11644:           *    10     2     1     1     2
                   11645:           *    11 i=6 1     2     1     2
                   11646:           *    12     2     2     1     2
                   11647:           *    13 i=7 1 i=4 1     2     2    
                   11648:           *    14     2     1     2     2
                   11649:           *    15 i=8 1     2     2     2
                   11650:           *    16     2     2     2     2
1.143     brouard  11651:           */
1.212     brouard  11652:   /* How to do the opposite? From combination h (=1 to 2**k) how to get the value on the covariates? */
1.211     brouard  11653:      /* from h=5 and m, we get then number of covariates k=log(m)/log(2)=4
                   11654:      * and the value of each covariate?
                   11655:      * V1=1, V2=1, V3=2, V4=1 ?
                   11656:      * h-1=4 and 4 is 0100 or reverse 0010, and +1 is 1121 ok.
                   11657:      * h=6, 6-1=5, 5 is 0101, 1010, 2121, V1=2nd, V2=1st, V3=2nd, V4=1st.
                   11658:      * In order to get the real value in the data, we use nbcode
                   11659:      * nbcode[Tvar[3][2nd]]=1 and nbcode[Tvar[4][1]]=0
                   11660:      * We are keeping this crazy system in order to be able (in the future?) 
                   11661:      * to have more than 2 values (0 or 1) for a covariate.
                   11662:      * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
                   11663:      * h=6, k=2? h-1=5=0101, reverse 1010, +1=2121, k=2nd position: value is 1: codtabm(6,2)=1
                   11664:      *              bbbbbbbb
                   11665:      *              76543210     
                   11666:      *   h-1        00000101 (6-1=5)
1.219     brouard  11667:      *(h-1)>>(k-1)= 00000010 >> (2-1) = 1 right shift
1.211     brouard  11668:      *           &
                   11669:      *     1        00000001 (1)
1.219     brouard  11670:      *              00000000        = 1 & ((h-1) >> (k-1))
                   11671:      *          +1= 00000001 =1 
1.211     brouard  11672:      *
                   11673:      * h=14, k=3 => h'=h-1=13, k'=k-1=2
                   11674:      *          h'      1101 =2^3+2^2+0x2^1+2^0
                   11675:      *    >>k'            11
                   11676:      *          &   00000001
                   11677:      *            = 00000001
                   11678:      *      +1    = 00000010=2    =  codtabm(14,3)   
                   11679:      * Reverse h=6 and m=16?
                   11680:      * cptcoveff=log(16)/log(2)=4 covariate: 6-1=5=0101 reversed=1010 +1=2121 =>V1=2, V2=1, V3=2, V4=1.
                   11681:      * for (j=1 to cptcoveff) Vj=decodtabm(j,h,cptcoveff)
                   11682:      * decodtabm(h,j,cptcoveff)= (((h-1) >> (j-1)) & 1) +1 
                   11683:      * decodtabm(h,j,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (j-1)) & 1) +1 : -1)
                   11684:      * V3=decodtabm(14,3,2**4)=2
                   11685:      *          h'=13   1101 =2^3+2^2+0x2^1+2^0
                   11686:      *(h-1) >> (j-1)    0011 =13 >> 2
                   11687:      *          &1 000000001
                   11688:      *           = 000000001
                   11689:      *         +1= 000000010 =2
                   11690:      *                  2211
                   11691:      *                  V1=1+1, V2=0+1, V3=1+1, V4=1+1
                   11692:      *                  V3=2
1.220     brouard  11693:                 * codtabm and decodtabm are identical
1.211     brouard  11694:      */
                   11695: 
1.145     brouard  11696: 
                   11697:  free_ivector(Ndum,-1,NCOVMAX);
                   11698: 
                   11699: 
1.126     brouard  11700:     
1.186     brouard  11701:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  11702:   strcpy(optionfilegnuplot,optionfilefiname);
                   11703:   if(mle==-3)
1.201     brouard  11704:     strcat(optionfilegnuplot,"-MORT_");
1.126     brouard  11705:   strcat(optionfilegnuplot,".gp");
                   11706: 
                   11707:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   11708:     printf("Problem with file %s",optionfilegnuplot);
                   11709:   }
                   11710:   else{
1.204     brouard  11711:     fprintf(ficgp,"\n# IMaCh-%s\n", version); 
1.126     brouard  11712:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  11713:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   11714:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  11715:   }
                   11716:   /*  fclose(ficgp);*/
1.186     brouard  11717: 
                   11718: 
                   11719:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  11720: 
                   11721:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   11722:   if(mle==-3)
1.201     brouard  11723:     strcat(optionfilehtm,"-MORT_");
1.126     brouard  11724:   strcat(optionfilehtm,".htm");
                   11725:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  11726:     printf("Problem with %s \n",optionfilehtm);
                   11727:     exit(0);
1.126     brouard  11728:   }
                   11729: 
                   11730:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   11731:   strcat(optionfilehtmcov,"-cov.htm");
                   11732:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   11733:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   11734:   }
                   11735:   else{
                   11736:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   11737: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  11738: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.126     brouard  11739:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   11740:   }
                   11741: 
1.213     brouard  11742:   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  11743: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   11744: <font size=\"2\">IMaCh-%s <br> %s</font> \
1.126     brouard  11745: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  11746: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n\
1.126     brouard  11747: \n\
                   11748: <hr  size=\"2\" color=\"#EC5E5E\">\
                   11749:  <ul><li><h4>Parameter files</h4>\n\
                   11750:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   11751:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   11752:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   11753:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   11754:  - Date and time at start: %s</ul>\n",\
                   11755:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   11756:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   11757:          fileres,fileres,\
                   11758:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   11759:   fflush(fichtm);
                   11760: 
                   11761:   strcpy(pathr,path);
                   11762:   strcat(pathr,optionfilefiname);
1.184     brouard  11763: #ifdef WIN32
                   11764:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   11765: #else
1.126     brouard  11766:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  11767: #endif
                   11768:          
1.126     brouard  11769:   
1.220     brouard  11770:   /* Calculates basic frequencies. Computes observed prevalence at single age 
                   11771:                 and for any valid combination of covariates
1.126     brouard  11772:      and prints on file fileres'p'. */
1.251     brouard  11773:   freqsummary(fileres, p, pstart, agemin, agemax, s, agev, nlstate, imx, Tvaraff, invalidvarcomb, nbcode, ncodemax,mint,anint,strstart, \
1.227     brouard  11774:              firstpass, lastpass,  stepm,  weightopt, model);
1.126     brouard  11775: 
                   11776:   fprintf(fichtm,"\n");
1.286     brouard  11777:   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  11778:          ftol, stepm);
                   11779:   fprintf(fichtm,"\n<li>Number of fixed dummy covariates: ncovcol=%d ", ncovcol);
                   11780:   ncurrv=1;
                   11781:   for(i=ncurrv; i <=ncovcol; i++) fprintf(fichtm,"V%d ", i);
                   11782:   fprintf(fichtm,"\n<li> Number of fixed quantitative variables: nqv=%d ", nqv); 
                   11783:   ncurrv=i;
                   11784:   for(i=ncurrv; i <=ncurrv-1+nqv; i++) fprintf(fichtm,"V%d ", i);
1.290     brouard  11785:   fprintf(fichtm,"\n<li> Number of time varying (wave varying) dummy covariates: ntv=%d ", ntv);
1.274     brouard  11786:   ncurrv=i;
                   11787:   for(i=ncurrv; i <=ncurrv-1+ntv; i++) fprintf(fichtm,"V%d ", i);
1.290     brouard  11788:   fprintf(fichtm,"\n<li>Number of time varying  quantitative covariates: nqtv=%d ", nqtv);
1.274     brouard  11789:   ncurrv=i;
                   11790:   for(i=ncurrv; i <=ncurrv-1+nqtv; i++) fprintf(fichtm,"V%d ", i);
                   11791:   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", \
                   11792:           nlstate, ndeath, maxwav, mle, weightopt);
                   11793: 
                   11794:   fprintf(fichtm,"<h4> Diagram of states <a href=\"%s_.svg\">%s_.svg</a></h4> \n\
                   11795: <img src=\"%s_.svg\">", subdirf2(optionfilefiname,"D_"),subdirf2(optionfilefiname,"D_"),subdirf2(optionfilefiname,"D_"));
                   11796: 
                   11797:   
                   11798:   fprintf(fichtm,"\n<h4>Some descriptive statistics </h4>\n<br>Total number of observations=%d <br>\n\
1.126     brouard  11799: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   11800: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
1.274     brouard  11801:   imx,agemin,agemax,jmin,jmax,jmean);
1.126     brouard  11802:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
1.268     brouard  11803:   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   11804:   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   11805:   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   11806:   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
1.218     brouard  11807: 
1.126     brouard  11808:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   11809:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   11810:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   11811: 
                   11812:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  11813:   /* For mortality only */
1.126     brouard  11814:   if (mle==-3){
1.136     brouard  11815:     ximort=matrix(1,NDIM,1,NDIM); 
1.248     brouard  11816:     for(i=1;i<=NDIM;i++)
                   11817:       for(j=1;j<=NDIM;j++)
                   11818:        ximort[i][j]=0.;
1.186     brouard  11819:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.290     brouard  11820:     cens=ivector(firstobs,lastobs);
                   11821:     ageexmed=vector(firstobs,lastobs);
                   11822:     agecens=vector(firstobs,lastobs);
                   11823:     dcwave=ivector(firstobs,lastobs);
1.223     brouard  11824:                
1.126     brouard  11825:     for (i=1; i<=imx; i++){
                   11826:       dcwave[i]=-1;
                   11827:       for (m=firstpass; m<=lastpass; m++)
1.226     brouard  11828:        if (s[m][i]>nlstate) {
                   11829:          dcwave[i]=m;
                   11830:          /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
                   11831:          break;
                   11832:        }
1.126     brouard  11833:     }
1.226     brouard  11834:     
1.126     brouard  11835:     for (i=1; i<=imx; i++) {
                   11836:       if (wav[i]>0){
1.226     brouard  11837:        ageexmed[i]=agev[mw[1][i]][i];
                   11838:        j=wav[i];
                   11839:        agecens[i]=1.; 
                   11840:        
                   11841:        if (ageexmed[i]> 1 && wav[i] > 0){
                   11842:          agecens[i]=agev[mw[j][i]][i];
                   11843:          cens[i]= 1;
                   11844:        }else if (ageexmed[i]< 1) 
                   11845:          cens[i]= -1;
                   11846:        if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
                   11847:          cens[i]=0 ;
1.126     brouard  11848:       }
                   11849:       else cens[i]=-1;
                   11850:     }
                   11851:     
                   11852:     for (i=1;i<=NDIM;i++) {
                   11853:       for (j=1;j<=NDIM;j++)
1.226     brouard  11854:        ximort[i][j]=(i == j ? 1.0 : 0.0);
1.126     brouard  11855:     }
                   11856:     
1.145     brouard  11857:     /*p[1]=0.0268; p[NDIM]=0.083;*/
1.126     brouard  11858:     /*printf("%lf %lf", p[1], p[2]);*/
                   11859:     
                   11860:     
1.136     brouard  11861: #ifdef GSL
                   11862:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  11863: #else
1.126     brouard  11864:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  11865: #endif
1.201     brouard  11866:     strcpy(filerespow,"POW-MORT_"); 
                   11867:     strcat(filerespow,fileresu);
1.126     brouard  11868:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   11869:       printf("Problem with resultfile: %s\n", filerespow);
                   11870:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   11871:     }
1.136     brouard  11872: #ifdef GSL
                   11873:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  11874: #else
1.126     brouard  11875:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  11876: #endif
1.126     brouard  11877:     /*  for (i=1;i<=nlstate;i++)
                   11878:        for(j=1;j<=nlstate+ndeath;j++)
                   11879:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   11880:     */
                   11881:     fprintf(ficrespow,"\n");
1.136     brouard  11882: #ifdef GSL
                   11883:     /* gsl starts here */ 
                   11884:     T = gsl_multimin_fminimizer_nmsimplex;
                   11885:     gsl_multimin_fminimizer *sfm = NULL;
                   11886:     gsl_vector *ss, *x;
                   11887:     gsl_multimin_function minex_func;
                   11888: 
                   11889:     /* Initial vertex size vector */
                   11890:     ss = gsl_vector_alloc (NDIM);
                   11891:     
                   11892:     if (ss == NULL){
                   11893:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   11894:     }
                   11895:     /* Set all step sizes to 1 */
                   11896:     gsl_vector_set_all (ss, 0.001);
                   11897: 
                   11898:     /* Starting point */
1.126     brouard  11899:     
1.136     brouard  11900:     x = gsl_vector_alloc (NDIM);
                   11901:     
                   11902:     if (x == NULL){
                   11903:       gsl_vector_free(ss);
                   11904:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   11905:     }
                   11906:   
                   11907:     /* Initialize method and iterate */
                   11908:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  11909:     /*     gsl_vector_set(x, 0, 0.0268); */
                   11910:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  11911:     gsl_vector_set(x, 0, p[1]);
                   11912:     gsl_vector_set(x, 1, p[2]);
                   11913: 
                   11914:     minex_func.f = &gompertz_f;
                   11915:     minex_func.n = NDIM;
                   11916:     minex_func.params = (void *)&p; /* ??? */
                   11917:     
                   11918:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   11919:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   11920:     
                   11921:     printf("Iterations beginning .....\n\n");
                   11922:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   11923: 
                   11924:     iteri=0;
                   11925:     while (rval == GSL_CONTINUE){
                   11926:       iteri++;
                   11927:       status = gsl_multimin_fminimizer_iterate(sfm);
                   11928:       
                   11929:       if (status) printf("error: %s\n", gsl_strerror (status));
                   11930:       fflush(0);
                   11931:       
                   11932:       if (status) 
                   11933:         break;
                   11934:       
                   11935:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   11936:       ssval = gsl_multimin_fminimizer_size (sfm);
                   11937:       
                   11938:       if (rval == GSL_SUCCESS)
                   11939:         printf ("converged to a local maximum at\n");
                   11940:       
                   11941:       printf("%5d ", iteri);
                   11942:       for (it = 0; it < NDIM; it++){
                   11943:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   11944:       }
                   11945:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   11946:     }
                   11947:     
                   11948:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   11949:     
                   11950:     gsl_vector_free(x); /* initial values */
                   11951:     gsl_vector_free(ss); /* inital step size */
                   11952:     for (it=0; it<NDIM; it++){
                   11953:       p[it+1]=gsl_vector_get(sfm->x,it);
                   11954:       fprintf(ficrespow," %.12lf", p[it]);
                   11955:     }
                   11956:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   11957: #endif
                   11958: #ifdef POWELL
                   11959:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   11960: #endif  
1.126     brouard  11961:     fclose(ficrespow);
                   11962:     
1.203     brouard  11963:     hesscov(matcov, hess, p, NDIM, delti, 1e-4, gompertz); 
1.126     brouard  11964: 
                   11965:     for(i=1; i <=NDIM; i++)
                   11966:       for(j=i+1;j<=NDIM;j++)
1.220     brouard  11967:                                matcov[i][j]=matcov[j][i];
1.126     brouard  11968:     
                   11969:     printf("\nCovariance matrix\n ");
1.203     brouard  11970:     fprintf(ficlog,"\nCovariance matrix\n ");
1.126     brouard  11971:     for(i=1; i <=NDIM; i++) {
                   11972:       for(j=1;j<=NDIM;j++){ 
1.220     brouard  11973:                                printf("%f ",matcov[i][j]);
                   11974:                                fprintf(ficlog,"%f ",matcov[i][j]);
1.126     brouard  11975:       }
1.203     brouard  11976:       printf("\n ");  fprintf(ficlog,"\n ");
1.126     brouard  11977:     }
                   11978:     
                   11979:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
1.193     brouard  11980:     for (i=1;i<=NDIM;i++) {
1.126     brouard  11981:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.193     brouard  11982:       fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   11983:     }
1.126     brouard  11984:     lsurv=vector(1,AGESUP);
                   11985:     lpop=vector(1,AGESUP);
                   11986:     tpop=vector(1,AGESUP);
                   11987:     lsurv[agegomp]=100000;
                   11988:     
                   11989:     for (k=agegomp;k<=AGESUP;k++) {
                   11990:       agemortsup=k;
                   11991:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   11992:     }
                   11993:     
                   11994:     for (k=agegomp;k<agemortsup;k++)
                   11995:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   11996:     
                   11997:     for (k=agegomp;k<agemortsup;k++){
                   11998:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   11999:       sumlpop=sumlpop+lpop[k];
                   12000:     }
                   12001:     
                   12002:     tpop[agegomp]=sumlpop;
                   12003:     for (k=agegomp;k<(agemortsup-3);k++){
                   12004:       /*  tpop[k+1]=2;*/
                   12005:       tpop[k+1]=tpop[k]-lpop[k];
                   12006:     }
                   12007:     
                   12008:     
                   12009:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   12010:     for (k=agegomp;k<(agemortsup-2);k++) 
                   12011:       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]);
                   12012:     
                   12013:     
                   12014:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.220     brouard  12015:                ageminpar=50;
                   12016:                agemaxpar=100;
1.194     brouard  12017:     if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
                   12018:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   12019: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12020: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   12021:        fprintf(ficlog,"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);
1.220     brouard  12024:     }else{
                   12025:                        printf("Warning! ageminpar %f and agemaxpar %f have been fixed because for simplification until it is fixed...\n\n",ageminpar,agemaxpar);
                   12026:                        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  12027:       printinggnuplotmort(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
1.220     brouard  12028:                }
1.201     brouard  12029:     printinghtmlmort(fileresu,title,datafile, firstpass, lastpass, \
1.126     brouard  12030:                     stepm, weightopt,\
                   12031:                     model,imx,p,matcov,agemortsup);
                   12032:     
                   12033:     free_vector(lsurv,1,AGESUP);
                   12034:     free_vector(lpop,1,AGESUP);
                   12035:     free_vector(tpop,1,AGESUP);
1.220     brouard  12036:     free_matrix(ximort,1,NDIM,1,NDIM);
1.290     brouard  12037:     free_ivector(dcwave,firstobs,lastobs);
                   12038:     free_vector(agecens,firstobs,lastobs);
                   12039:     free_vector(ageexmed,firstobs,lastobs);
                   12040:     free_ivector(cens,firstobs,lastobs);
1.220     brouard  12041: #ifdef GSL
1.136     brouard  12042: #endif
1.186     brouard  12043:   } /* Endof if mle==-3 mortality only */
1.205     brouard  12044:   /* Standard  */
                   12045:   else{ /* For mle !=- 3, could be 0 or 1 or 4 etc. */
                   12046:     globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   12047:     /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
1.132     brouard  12048:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  12049:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   12050:     for (k=1; k<=npar;k++)
                   12051:       printf(" %d %8.5f",k,p[k]);
                   12052:     printf("\n");
1.205     brouard  12053:     if(mle>=1){ /* Could be 1 or 2, Real Maximization */
                   12054:       /* mlikeli uses func not funcone */
1.247     brouard  12055:       /* for(i=1;i<nlstate;i++){ */
                   12056:       /*       /\*reducing xi for 1 to npar to 1 to ncovmodel; *\/ */
                   12057:       /*    mlikeli(ficres,p, ncovmodel, ncovmodel, nlstate, ftol, funcnoprod); */
                   12058:       /* } */
1.205     brouard  12059:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
                   12060:     }
                   12061:     if(mle==0) {/* No optimization, will print the likelihoods for the datafile */
                   12062:       globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   12063:       /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
                   12064:       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   12065:     }
                   12066:     globpr=1; /* again, to print the individual contributions using computed gpimx and gsw */
1.126     brouard  12067:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   12068:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   12069:     for (k=1; k<=npar;k++)
                   12070:       printf(" %d %8.5f",k,p[k]);
                   12071:     printf("\n");
                   12072:     
                   12073:     /*--------- results files --------------*/
1.283     brouard  12074:     /* 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  12075:     
                   12076:     
                   12077:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   12078:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   12079:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   12080:     for(i=1,jk=1; i <=nlstate; i++){
                   12081:       for(k=1; k <=(nlstate+ndeath); k++){
1.225     brouard  12082:        if (k != i) {
                   12083:          printf("%d%d ",i,k);
                   12084:          fprintf(ficlog,"%d%d ",i,k);
                   12085:          fprintf(ficres,"%1d%1d ",i,k);
                   12086:          for(j=1; j <=ncovmodel; j++){
                   12087:            printf("%12.7f ",p[jk]);
                   12088:            fprintf(ficlog,"%12.7f ",p[jk]);
                   12089:            fprintf(ficres,"%12.7f ",p[jk]);
                   12090:            jk++; 
                   12091:          }
                   12092:          printf("\n");
                   12093:          fprintf(ficlog,"\n");
                   12094:          fprintf(ficres,"\n");
                   12095:        }
1.126     brouard  12096:       }
                   12097:     }
1.203     brouard  12098:     if(mle != 0){
                   12099:       /* Computing hessian and covariance matrix only at a peak of the Likelihood, that is after optimization */
1.126     brouard  12100:       ftolhess=ftol; /* Usually correct */
1.203     brouard  12101:       hesscov(matcov, hess, p, npar, delti, ftolhess, func);
                   12102:       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");
                   12103:       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");
                   12104:       for(i=1,jk=1; i <=nlstate; i++){
1.225     brouard  12105:        for(k=1; k <=(nlstate+ndeath); k++){
                   12106:          if (k != i) {
                   12107:            printf("%d%d ",i,k);
                   12108:            fprintf(ficlog,"%d%d ",i,k);
                   12109:            for(j=1; j <=ncovmodel; j++){
                   12110:              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]));
                   12111:              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]));
                   12112:              jk++; 
                   12113:            }
                   12114:            printf("\n");
                   12115:            fprintf(ficlog,"\n");
                   12116:          }
                   12117:        }
1.193     brouard  12118:       }
1.203     brouard  12119:     } /* end of hesscov and Wald tests */
1.225     brouard  12120:     
1.203     brouard  12121:     /*  */
1.126     brouard  12122:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   12123:     printf("# Scales (for hessian or gradient estimation)\n");
                   12124:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   12125:     for(i=1,jk=1; i <=nlstate; i++){
                   12126:       for(j=1; j <=nlstate+ndeath; j++){
1.225     brouard  12127:        if (j!=i) {
                   12128:          fprintf(ficres,"%1d%1d",i,j);
                   12129:          printf("%1d%1d",i,j);
                   12130:          fprintf(ficlog,"%1d%1d",i,j);
                   12131:          for(k=1; k<=ncovmodel;k++){
                   12132:            printf(" %.5e",delti[jk]);
                   12133:            fprintf(ficlog," %.5e",delti[jk]);
                   12134:            fprintf(ficres," %.5e",delti[jk]);
                   12135:            jk++;
                   12136:          }
                   12137:          printf("\n");
                   12138:          fprintf(ficlog,"\n");
                   12139:          fprintf(ficres,"\n");
                   12140:        }
1.126     brouard  12141:       }
                   12142:     }
                   12143:     
                   12144:     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  12145:     if(mle >= 1) /* To big for the screen */
1.126     brouard  12146:       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");
                   12147:     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");
                   12148:     /* # 121 Var(a12)\n\ */
                   12149:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   12150:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   12151:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   12152:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   12153:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   12154:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   12155:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   12156:     
                   12157:     
                   12158:     /* Just to have a covariance matrix which will be more understandable
                   12159:        even is we still don't want to manage dictionary of variables
                   12160:     */
                   12161:     for(itimes=1;itimes<=2;itimes++){
                   12162:       jj=0;
                   12163:       for(i=1; i <=nlstate; i++){
1.225     brouard  12164:        for(j=1; j <=nlstate+ndeath; j++){
                   12165:          if(j==i) continue;
                   12166:          for(k=1; k<=ncovmodel;k++){
                   12167:            jj++;
                   12168:            ca[0]= k+'a'-1;ca[1]='\0';
                   12169:            if(itimes==1){
                   12170:              if(mle>=1)
                   12171:                printf("#%1d%1d%d",i,j,k);
                   12172:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
                   12173:              fprintf(ficres,"#%1d%1d%d",i,j,k);
                   12174:            }else{
                   12175:              if(mle>=1)
                   12176:                printf("%1d%1d%d",i,j,k);
                   12177:              fprintf(ficlog,"%1d%1d%d",i,j,k);
                   12178:              fprintf(ficres,"%1d%1d%d",i,j,k);
                   12179:            }
                   12180:            ll=0;
                   12181:            for(li=1;li <=nlstate; li++){
                   12182:              for(lj=1;lj <=nlstate+ndeath; lj++){
                   12183:                if(lj==li) continue;
                   12184:                for(lk=1;lk<=ncovmodel;lk++){
                   12185:                  ll++;
                   12186:                  if(ll<=jj){
                   12187:                    cb[0]= lk +'a'-1;cb[1]='\0';
                   12188:                    if(ll<jj){
                   12189:                      if(itimes==1){
                   12190:                        if(mle>=1)
                   12191:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12192:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12193:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12194:                      }else{
                   12195:                        if(mle>=1)
                   12196:                          printf(" %.5e",matcov[jj][ll]); 
                   12197:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   12198:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   12199:                      }
                   12200:                    }else{
                   12201:                      if(itimes==1){
                   12202:                        if(mle>=1)
                   12203:                          printf(" Var(%s%1d%1d)",ca,i,j);
                   12204:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                   12205:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                   12206:                      }else{
                   12207:                        if(mle>=1)
                   12208:                          printf(" %.7e",matcov[jj][ll]); 
                   12209:                        fprintf(ficlog," %.7e",matcov[jj][ll]); 
                   12210:                        fprintf(ficres," %.7e",matcov[jj][ll]); 
                   12211:                      }
                   12212:                    }
                   12213:                  }
                   12214:                } /* end lk */
                   12215:              } /* end lj */
                   12216:            } /* end li */
                   12217:            if(mle>=1)
                   12218:              printf("\n");
                   12219:            fprintf(ficlog,"\n");
                   12220:            fprintf(ficres,"\n");
                   12221:            numlinepar++;
                   12222:          } /* end k*/
                   12223:        } /*end j */
1.126     brouard  12224:       } /* end i */
                   12225:     } /* end itimes */
                   12226:     
                   12227:     fflush(ficlog);
                   12228:     fflush(ficres);
1.225     brouard  12229:     while(fgets(line, MAXLINE, ficpar)) {
                   12230:       /* If line starts with a # it is a comment */
                   12231:       if (line[0] == '#') {
                   12232:        numlinepar++;
                   12233:        fputs(line,stdout);
                   12234:        fputs(line,ficparo);
                   12235:        fputs(line,ficlog);
1.299     brouard  12236:        fputs(line,ficres);
1.225     brouard  12237:        continue;
                   12238:       }else
                   12239:        break;
                   12240:     }
                   12241:     
1.209     brouard  12242:     /* while((c=getc(ficpar))=='#' && c!= EOF){ */
                   12243:     /*   ungetc(c,ficpar); */
                   12244:     /*   fgets(line, MAXLINE, ficpar); */
                   12245:     /*   fputs(line,stdout); */
                   12246:     /*   fputs(line,ficparo); */
                   12247:     /* } */
                   12248:     /* ungetc(c,ficpar); */
1.126     brouard  12249:     
                   12250:     estepm=0;
1.209     brouard  12251:     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  12252:       
                   12253:       if (num_filled != 6) {
                   12254:        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);
                   12255:        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);
                   12256:        goto end;
                   12257:       }
                   12258:       printf("agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",ageminpar,agemaxpar, bage, fage, estepm, ftolpl);
                   12259:     }
                   12260:     /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
                   12261:     /*ftolpl=6.e-4;*/ /* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
                   12262:     
1.209     brouard  12263:     /* fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm); */
1.126     brouard  12264:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   12265:     if (fage <= 2) {
                   12266:       bage = ageminpar;
                   12267:       fage = agemaxpar;
                   12268:     }
                   12269:     
                   12270:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
1.211     brouard  12271:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
                   12272:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d, ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
1.220     brouard  12273:                
1.186     brouard  12274:     /* Other stuffs, more or less useful */    
1.254     brouard  12275:     while(fgets(line, MAXLINE, ficpar)) {
                   12276:       /* If line starts with a # it is a comment */
                   12277:       if (line[0] == '#') {
                   12278:        numlinepar++;
                   12279:        fputs(line,stdout);
                   12280:        fputs(line,ficparo);
                   12281:        fputs(line,ficlog);
1.299     brouard  12282:        fputs(line,ficres);
1.254     brouard  12283:        continue;
                   12284:       }else
                   12285:        break;
                   12286:     }
                   12287: 
                   12288:     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){
                   12289:       
                   12290:       if (num_filled != 7) {
                   12291:        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);
                   12292:        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);
                   12293:        goto end;
                   12294:       }
                   12295:       printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   12296:       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);
                   12297:       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);
                   12298:       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  12299:     }
1.254     brouard  12300: 
                   12301:     while(fgets(line, MAXLINE, ficpar)) {
                   12302:       /* If line starts with a # it is a comment */
                   12303:       if (line[0] == '#') {
                   12304:        numlinepar++;
                   12305:        fputs(line,stdout);
                   12306:        fputs(line,ficparo);
                   12307:        fputs(line,ficlog);
1.299     brouard  12308:        fputs(line,ficres);
1.254     brouard  12309:        continue;
                   12310:       }else
                   12311:        break;
1.126     brouard  12312:     }
                   12313:     
                   12314:     
                   12315:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   12316:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   12317:     
1.254     brouard  12318:     if((num_filled=sscanf(line,"pop_based=%d\n",&popbased)) !=EOF){
                   12319:       if (num_filled != 1) {
                   12320:        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);
                   12321:        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);
                   12322:        goto end;
                   12323:       }
                   12324:       printf("pop_based=%d\n",popbased);
                   12325:       fprintf(ficlog,"pop_based=%d\n",popbased);
                   12326:       fprintf(ficparo,"pop_based=%d\n",popbased);   
                   12327:       fprintf(ficres,"pop_based=%d\n",popbased);   
                   12328:     }
                   12329:      
1.258     brouard  12330:     /* Results */
                   12331:     nresult=0;
                   12332:     do{
                   12333:       if(!fgets(line, MAXLINE, ficpar)){
                   12334:        endishere=1;
                   12335:        parameterline=14;
                   12336:       }else if (line[0] == '#') {
                   12337:        /* If line starts with a # it is a comment */
1.254     brouard  12338:        numlinepar++;
                   12339:        fputs(line,stdout);
                   12340:        fputs(line,ficparo);
                   12341:        fputs(line,ficlog);
1.299     brouard  12342:        fputs(line,ficres);
1.254     brouard  12343:        continue;
1.258     brouard  12344:       }else if(sscanf(line,"prevforecast=%[^\n]\n",modeltemp))
                   12345:        parameterline=11;
1.296     brouard  12346:       else if(sscanf(line,"prevbackcast=%[^\n]\n",modeltemp))
1.258     brouard  12347:        parameterline=12;
                   12348:       else if(sscanf(line,"result:%[^\n]\n",modeltemp))
                   12349:        parameterline=13;
                   12350:       else{
                   12351:        parameterline=14;
1.254     brouard  12352:       }
1.258     brouard  12353:       switch (parameterline){ 
                   12354:       case 11:
1.296     brouard  12355:        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)){
                   12356:                  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  12357:          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);
                   12358:          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);
                   12359:          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);
                   12360:          /* day and month of proj2 are not used but only year anproj2.*/
1.273     brouard  12361:          dateproj1=anproj1+(mproj1-1)/12.+(jproj1-1)/365.;
                   12362:          dateproj2=anproj2+(mproj2-1)/12.+(jproj2-1)/365.;
1.296     brouard  12363:           prvforecast = 1;
                   12364:        } 
                   12365:        else if((num_filled=sscanf(line,"prevforecast=%d yearsfproj=%lf mobil_average=%d\n",&prevfcast,&yrfproj,&mobilavproj)) !=EOF){/* && (num_filled == 3))*/
1.299     brouard  12366:          printf("prevforecast=%d yearsfproj=%lf mobil_average=%d\n",prevfcast,yrfproj,mobilavproj);
                   12367:          fprintf(ficlog,"prevforecast=%d yearsfproj=%lf mobil_average=%d\n",prevfcast,yrfproj,mobilavproj);
                   12368:          fprintf(ficres,"prevforecast=%d yearsfproj=%lf mobil_average=%d\n",prevfcast,yrfproj,mobilavproj);
1.296     brouard  12369:           prvforecast = 2;
                   12370:        }
                   12371:        else {
                   12372:          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);
                   12373:          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);
                   12374:          goto end;
1.258     brouard  12375:        }
1.254     brouard  12376:        break;
1.258     brouard  12377:       case 12:
1.296     brouard  12378:        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)){
                   12379:           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);
                   12380:          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);
                   12381:          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);
                   12382:          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);
                   12383:          /* day and month of back2 are not used but only year anback2.*/
1.273     brouard  12384:          dateback1=anback1+(mback1-1)/12.+(jback1-1)/365.;
                   12385:          dateback2=anback2+(mback2-1)/12.+(jback2-1)/365.;
1.296     brouard  12386:           prvbackcast = 1;
                   12387:        } 
                   12388:        else if((num_filled=sscanf(line,"prevbackcast=%d yearsbproj=%lf mobil_average=%d\n",&prevbcast,&yrbproj,&mobilavproj)) ==3){/* && (num_filled == 3))*/
1.299     brouard  12389:          printf("prevbackcast=%d yearsbproj=%lf mobil_average=%d\n",prevbcast,yrbproj,mobilavproj);
                   12390:          fprintf(ficlog,"prevbackcast=%d yearsfproj=%lf mobil_average=%d\n",prevbcast,yrbproj,mobilavproj);
                   12391:          fprintf(ficres,"prevbackcast=%d yearsfproj=%lf mobil_average=%d\n",prevbcast,yrbproj,mobilavproj);
1.296     brouard  12392:           prvbackcast = 2;
                   12393:        }
                   12394:        else {
                   12395:          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);
                   12396:          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);
                   12397:          goto end;
1.258     brouard  12398:        }
1.230     brouard  12399:        break;
1.258     brouard  12400:       case 13:
                   12401:        if((num_filled=sscanf(line,"result:%[^\n]\n",resultline)) !=EOF){
                   12402:          if (num_filled == 0){
                   12403:            resultline[0]='\0';
                   12404:            printf("Warning %d: no result line! It should be at minimum 'result: V2=0 V1=1 or result:.\n%s\n", num_filled, line);
                   12405:            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);
                   12406:            break;
                   12407:          } else if (num_filled != 1){
                   12408:            printf("ERROR %d: result line! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",num_filled, line);
                   12409:            fprintf(ficlog,"ERROR %d: result line! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",num_filled, line);
                   12410:          }
                   12411:          nresult++; /* Sum of resultlines */
                   12412:          printf("Result %d: result=%s\n",nresult, resultline);
                   12413:          if(nresult > MAXRESULTLINES){
                   12414:            printf("ERROR: Current version of IMaCh limits the number of resultlines to %d, you used %d\n",MAXRESULTLINES,nresult);
                   12415:            fprintf(ficlog,"ERROR: Current version of IMaCh limits the number of resultlines to %d, you used %d\n",MAXRESULTLINES,nresult);
                   12416:            goto end;
                   12417:          }
                   12418:          decoderesult(resultline, nresult); /* Fills TKresult[nresult] combination and Tresult[nresult][k4+1] combination values */
                   12419:          fprintf(ficparo,"result: %s\n",resultline);
                   12420:          fprintf(ficres,"result: %s\n",resultline);
                   12421:          fprintf(ficlog,"result: %s\n",resultline);
1.230     brouard  12422:          break;
1.258     brouard  12423:        case 14: 
1.259     brouard  12424:          if(ncovmodel >2 && nresult==0 ){
                   12425:            printf("ERROR: no result lines! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",line);
1.258     brouard  12426:            goto end;
                   12427:          }
1.259     brouard  12428:          break;
1.258     brouard  12429:        default:
                   12430:          nresult=1;
                   12431:          decoderesult(".",nresult ); /* No covariate */
                   12432:        }
                   12433:       } /* End switch parameterline */
                   12434:     }while(endishere==0); /* End do */
1.126     brouard  12435:     
1.230     brouard  12436:     /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
1.145     brouard  12437:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  12438:     
                   12439:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  12440:     if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
1.230     brouard  12441:       printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  12442: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12443: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.230     brouard  12444:       fprintf(ficlog,"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);
1.220     brouard  12447:     }else{
1.270     brouard  12448:       /* printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, prevfcast, backcast, pathc,p, (int)anproj1-(int)agemin, (int)anback1-(int)agemax+1); */
1.296     brouard  12449:       /* It seems that anprojd which is computed from the mean year at interview which is known yet because of freqsummary */
                   12450:       /* date2dmy(dateintmean,&jintmean,&mintmean,&aintmean); */ /* Done in freqsummary */
                   12451:       if(prvforecast==1){
                   12452:         dateprojd=(jproj1+12*mproj1+365*anproj1)/365;
                   12453:         jprojd=jproj1;
                   12454:         mprojd=mproj1;
                   12455:         anprojd=anproj1;
                   12456:         dateprojf=(jproj2+12*mproj2+365*anproj2)/365;
                   12457:         jprojf=jproj2;
                   12458:         mprojf=mproj2;
                   12459:         anprojf=anproj2;
                   12460:       } else if(prvforecast == 2){
                   12461:         dateprojd=dateintmean;
                   12462:         date2dmy(dateprojd,&jprojd, &mprojd, &anprojd);
                   12463:         dateprojf=dateintmean+yrfproj;
                   12464:         date2dmy(dateprojf,&jprojf, &mprojf, &anprojf);
                   12465:       }
                   12466:       if(prvbackcast==1){
                   12467:         datebackd=(jback1+12*mback1+365*anback1)/365;
                   12468:         jbackd=jback1;
                   12469:         mbackd=mback1;
                   12470:         anbackd=anback1;
                   12471:         datebackf=(jback2+12*mback2+365*anback2)/365;
                   12472:         jbackf=jback2;
                   12473:         mbackf=mback2;
                   12474:         anbackf=anback2;
                   12475:       } else if(prvbackcast == 2){
                   12476:         datebackd=dateintmean;
                   12477:         date2dmy(datebackd,&jbackd, &mbackd, &anbackd);
                   12478:         datebackf=dateintmean-yrbproj;
                   12479:         date2dmy(datebackf,&jbackf, &mbackf, &anbackf);
                   12480:       }
                   12481:       
                   12482:       printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,bage, fage, prevfcast, prevbcast, pathc,p, (int)anprojd-bage, (int)anbackd-fage);
1.220     brouard  12483:     }
                   12484:     printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt, \
1.296     brouard  12485:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,mobilav,prevfcast,mobilavproj,prevbcast, estepm, \
                   12486:                 jprev1,mprev1,anprev1,dateprev1, dateprojd, datebackd,jprev2,mprev2,anprev2,dateprev2,dateprojf, datebackf);
1.220     brouard  12487:                
1.225     brouard  12488:     /*------------ free_vector  -------------*/
                   12489:     /*  chdir(path); */
1.220     brouard  12490:                
1.215     brouard  12491:     /* free_ivector(wav,1,imx); */  /* Moved after last prevalence call */
                   12492:     /* free_imatrix(dh,1,lastpass-firstpass+2,1,imx); */
                   12493:     /* free_imatrix(bh,1,lastpass-firstpass+2,1,imx); */
                   12494:     /* free_imatrix(mw,1,lastpass-firstpass+2,1,imx);    */
1.290     brouard  12495:     free_lvector(num,firstobs,lastobs);
                   12496:     free_vector(agedc,firstobs,lastobs);
1.126     brouard  12497:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   12498:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   12499:     fclose(ficparo);
                   12500:     fclose(ficres);
1.220     brouard  12501:                
                   12502:                
1.186     brouard  12503:     /* Other results (useful)*/
1.220     brouard  12504:                
                   12505:                
1.126     brouard  12506:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  12507:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   12508:     prlim=matrix(1,nlstate,1,nlstate);
1.209     brouard  12509:     prevalence_limit(p, prlim,  ageminpar, agemaxpar, ftolpl, &ncvyear);
1.126     brouard  12510:     fclose(ficrespl);
                   12511: 
                   12512:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  12513:     /*#include "hpijx.h"*/
                   12514:     hPijx(p, bage, fage);
1.145     brouard  12515:     fclose(ficrespij);
1.227     brouard  12516:     
1.220     brouard  12517:     /* ncovcombmax=  pow(2,cptcoveff); */
1.219     brouard  12518:     /*-------------- Variance of one-step probabilities---*/
1.145     brouard  12519:     k=1;
1.126     brouard  12520:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
1.227     brouard  12521:     
1.269     brouard  12522:     /* Prevalence for each covariate combination in probs[age][status][cov] */
                   12523:     probs= ma3x(AGEINF,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
                   12524:     for(i=AGEINF;i<=AGESUP;i++)
1.219     brouard  12525:       for(j=1;j<=nlstate+ndeath;j++) /* ndeath is useless but a necessity to be compared with mobaverages */
1.225     brouard  12526:        for(k=1;k<=ncovcombmax;k++)
                   12527:          probs[i][j][k]=0.;
1.269     brouard  12528:     prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, 
                   12529:               ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
1.219     brouard  12530:     if (mobilav!=0 ||mobilavproj !=0 ) {
1.269     brouard  12531:       mobaverages= ma3x(AGEINF, AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
                   12532:       for(i=AGEINF;i<=AGESUP;i++)
1.268     brouard  12533:        for(j=1;j<=nlstate+ndeath;j++)
1.227     brouard  12534:          for(k=1;k<=ncovcombmax;k++)
                   12535:            mobaverages[i][j][k]=0.;
1.219     brouard  12536:       mobaverage=mobaverages;
                   12537:       if (mobilav!=0) {
1.235     brouard  12538:        printf("Movingaveraging observed prevalence\n");
1.258     brouard  12539:        fprintf(ficlog,"Movingaveraging observed prevalence\n");
1.227     brouard  12540:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilav)!=0){
                   12541:          fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   12542:          printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   12543:        }
1.269     brouard  12544:       } else if (mobilavproj !=0) {
1.235     brouard  12545:        printf("Movingaveraging projected observed prevalence\n");
1.258     brouard  12546:        fprintf(ficlog,"Movingaveraging projected observed prevalence\n");
1.227     brouard  12547:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilavproj)!=0){
                   12548:          fprintf(ficlog," Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   12549:          printf(" Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   12550:        }
1.269     brouard  12551:       }else{
                   12552:        printf("Internal error moving average\n");
                   12553:        fflush(stdout);
                   12554:        exit(1);
1.219     brouard  12555:       }
                   12556:     }/* end if moving average */
1.227     brouard  12557:     
1.126     brouard  12558:     /*---------- Forecasting ------------------*/
1.296     brouard  12559:     if(prevfcast==1){ 
                   12560:       /*   /\*    if(stepm ==1){*\/ */
                   12561:       /*   /\*  anproj1, mproj1, jproj1 either read explicitly or yrfproj *\/ */
                   12562:       /*This done previously after freqsummary.*/
                   12563:       /*   dateprojd=(jproj1+12*mproj1+365*anproj1)/365; */
                   12564:       /*   dateprojf=(jproj2+12*mproj2+365*anproj2)/365; */
                   12565:       
                   12566:       /* } else if (prvforecast==2){ */
                   12567:       /*   /\*    if(stepm ==1){*\/ */
                   12568:       /*   /\*  anproj1, mproj1, jproj1 either read explicitly or yrfproj *\/ */
                   12569:       /* } */
                   12570:       /*prevforecast(fileresu, dateintmean, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, mobaverage, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);*/
                   12571:       prevforecast(fileresu,dateintmean, dateprojd, dateprojf, agemin, agemax, dateprev1, dateprev2, mobilavproj, mobaverage, bage, fage, firstpass, lastpass, p, cptcoveff);
1.126     brouard  12572:     }
1.269     brouard  12573: 
1.296     brouard  12574:     /* Prevbcasting */
                   12575:     if(prevbcast==1){
1.219     brouard  12576:       ddnewms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   12577:       ddoldms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   12578:       ddsavms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);
                   12579: 
                   12580:       /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
                   12581: 
                   12582:       bprlim=matrix(1,nlstate,1,nlstate);
1.269     brouard  12583: 
1.219     brouard  12584:       back_prevalence_limit(p, bprlim,  ageminpar, agemaxpar, ftolpl, &ncvyear, dateprev1, dateprev2, firstpass, lastpass, mobilavproj);
                   12585:       fclose(ficresplb);
                   12586: 
1.222     brouard  12587:       hBijx(p, bage, fage, mobaverage);
                   12588:       fclose(ficrespijb);
1.219     brouard  12589: 
1.296     brouard  12590:       /* /\* prevbackforecast(fileresu, mobaverage, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, *\/ */
                   12591:       /* /\*                  mobilavproj, bage, fage, firstpass, lastpass, anback2, p, cptcoveff); *\/ */
                   12592:       /* prevbackforecast(fileresu, mobaverage, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, */
                   12593:       /*                      mobilavproj, bage, fage, firstpass, lastpass, anback2, p, cptcoveff); */
                   12594:       prevbackforecast(fileresu, mobaverage, dateintmean, dateprojd, dateprojf, agemin, agemax, dateprev1, dateprev2,
                   12595:                       mobilavproj, bage, fage, firstpass, lastpass, p, cptcoveff);
                   12596: 
                   12597:       
1.269     brouard  12598:       varbprlim(fileresu, nresult, mobaverage, mobilavproj, bage, fage, bprlim, &ncvyear, ftolpl, p, matcov, delti, stepm, cptcoveff);
1.268     brouard  12599: 
                   12600:       
1.269     brouard  12601:       free_matrix(bprlim,1,nlstate,1,nlstate); /*here or after loop ? */
1.219     brouard  12602:       free_matrix(ddnewms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   12603:       free_matrix(ddsavms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   12604:       free_matrix(ddoldms, 1, nlstate+ndeath, 1, nlstate+ndeath);
1.296     brouard  12605:     }    /* end  Prevbcasting */
1.268     brouard  12606:  
1.186     brouard  12607:  
                   12608:     /* ------ Other prevalence ratios------------ */
1.126     brouard  12609: 
1.215     brouard  12610:     free_ivector(wav,1,imx);
                   12611:     free_imatrix(dh,1,lastpass-firstpass+2,1,imx);
                   12612:     free_imatrix(bh,1,lastpass-firstpass+2,1,imx);
                   12613:     free_imatrix(mw,1,lastpass-firstpass+2,1,imx);   
1.218     brouard  12614:                
                   12615:                
1.127     brouard  12616:     /*---------- Health expectancies, no variances ------------*/
1.218     brouard  12617:                
1.201     brouard  12618:     strcpy(filerese,"E_");
                   12619:     strcat(filerese,fileresu);
1.126     brouard  12620:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   12621:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   12622:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   12623:     }
1.208     brouard  12624:     printf("Computing Health Expectancies: result on file '%s' ...", filerese);fflush(stdout);
                   12625:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' ...", filerese);fflush(ficlog);
1.238     brouard  12626: 
                   12627:     pstamp(ficreseij);
1.219     brouard  12628:                
1.235     brouard  12629:     i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
                   12630:     if (cptcovn < 1){i1=1;}
                   12631:     
                   12632:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   12633:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  12634:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  12635:        continue;
1.219     brouard  12636:       fprintf(ficreseij,"\n#****** ");
1.235     brouard  12637:       printf("\n#****** ");
1.225     brouard  12638:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  12639:        fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  12640:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12641:       }
                   12642:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12643:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12644:        fprintf(ficreseij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
1.219     brouard  12645:       }
                   12646:       fprintf(ficreseij,"******\n");
1.235     brouard  12647:       printf("******\n");
1.219     brouard  12648:       
                   12649:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   12650:       oldm=oldms;savm=savms;
1.235     brouard  12651:       evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart, nres);  
1.127     brouard  12652:       
1.219     brouard  12653:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.127     brouard  12654:     }
                   12655:     fclose(ficreseij);
1.208     brouard  12656:     printf("done evsij\n");fflush(stdout);
                   12657:     fprintf(ficlog,"done evsij\n");fflush(ficlog);
1.269     brouard  12658: 
1.218     brouard  12659:                
1.227     brouard  12660:     /*---------- State-specific expectancies and variances ------------*/
1.218     brouard  12661:                
1.201     brouard  12662:     strcpy(filerest,"T_");
                   12663:     strcat(filerest,fileresu);
1.127     brouard  12664:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   12665:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   12666:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   12667:     }
1.208     brouard  12668:     printf("Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(stdout);
                   12669:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(ficlog);
1.201     brouard  12670:     strcpy(fileresstde,"STDE_");
                   12671:     strcat(fileresstde,fileresu);
1.126     brouard  12672:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
1.227     brouard  12673:       printf("Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   12674:       fprintf(ficlog,"Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
1.126     brouard  12675:     }
1.227     brouard  12676:     printf("  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   12677:     fprintf(ficlog,"  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
1.126     brouard  12678: 
1.201     brouard  12679:     strcpy(filerescve,"CVE_");
                   12680:     strcat(filerescve,fileresu);
1.126     brouard  12681:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
1.227     brouard  12682:       printf("Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
                   12683:       fprintf(ficlog,"Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
1.126     brouard  12684:     }
1.227     brouard  12685:     printf("    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
                   12686:     fprintf(ficlog,"    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
1.126     brouard  12687: 
1.201     brouard  12688:     strcpy(fileresv,"V_");
                   12689:     strcat(fileresv,fileresu);
1.126     brouard  12690:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   12691:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   12692:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   12693:     }
1.227     brouard  12694:     printf("      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(stdout);
                   12695:     fprintf(ficlog,"      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(ficlog);
1.126     brouard  12696: 
1.235     brouard  12697:     i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
                   12698:     if (cptcovn < 1){i1=1;}
                   12699:     
                   12700:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   12701:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  12702:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  12703:        continue;
1.242     brouard  12704:       printf("\n#****** Result for:");
                   12705:       fprintf(ficrest,"\n#****** Result for:");
                   12706:       fprintf(ficlog,"\n#****** Result for:");
1.227     brouard  12707:       for(j=1;j<=cptcoveff;j++){ 
                   12708:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12709:        fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12710:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12711:       }
1.235     brouard  12712:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12713:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12714:        fprintf(ficrest," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12715:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12716:       }        
1.208     brouard  12717:       fprintf(ficrest,"******\n");
1.227     brouard  12718:       fprintf(ficlog,"******\n");
                   12719:       printf("******\n");
1.208     brouard  12720:       
                   12721:       fprintf(ficresstdeij,"\n#****** ");
                   12722:       fprintf(ficrescveij,"\n#****** ");
1.225     brouard  12723:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  12724:        fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12725:        fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  12726:       }
1.235     brouard  12727:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12728:        fprintf(ficresstdeij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12729:        fprintf(ficrescveij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12730:       }        
1.208     brouard  12731:       fprintf(ficresstdeij,"******\n");
                   12732:       fprintf(ficrescveij,"******\n");
                   12733:       
                   12734:       fprintf(ficresvij,"\n#****** ");
1.238     brouard  12735:       /* pstamp(ficresvij); */
1.225     brouard  12736:       for(j=1;j<=cptcoveff;j++) 
1.227     brouard  12737:        fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  12738:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12739:        fprintf(ficresvij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12740:       }        
1.208     brouard  12741:       fprintf(ficresvij,"******\n");
                   12742:       
                   12743:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   12744:       oldm=oldms;savm=savms;
1.235     brouard  12745:       printf(" cvevsij ");
                   12746:       fprintf(ficlog, " cvevsij ");
                   12747:       cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart, nres);
1.208     brouard  12748:       printf(" end cvevsij \n ");
                   12749:       fprintf(ficlog, " end cvevsij \n ");
                   12750:       
                   12751:       /*
                   12752:        */
                   12753:       /* goto endfree; */
                   12754:       
                   12755:       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   12756:       pstamp(ficrest);
                   12757:       
1.269     brouard  12758:       epj=vector(1,nlstate+1);
1.208     brouard  12759:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.227     brouard  12760:        oldm=oldms;savm=savms; /* ZZ Segmentation fault */
                   12761:        cptcod= 0; /* To be deleted */
                   12762:        printf("varevsij vpopbased=%d \n",vpopbased);
                   12763:        fprintf(ficlog, "varevsij vpopbased=%d \n",vpopbased);
1.235     brouard  12764:        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  12765:        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 ");
                   12766:        if(vpopbased==1)
                   12767:          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);
                   12768:        else
1.288     brouard  12769:          fprintf(ficrest,"the age specific forward period (stable) prevalences in each health state \n");
1.227     brouard  12770:        fprintf(ficrest,"# Age popbased mobilav e.. (std) ");
                   12771:        for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
                   12772:        fprintf(ficrest,"\n");
                   12773:        /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
1.288     brouard  12774:        printf("Computing age specific forward period (stable) prevalences in each health state \n");
                   12775:        fprintf(ficlog,"Computing age specific forward period (stable) prevalences in each health state \n");
1.227     brouard  12776:        for(age=bage; age <=fage ;age++){
1.235     brouard  12777:          prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, &ncvyear, k, nres); /*ZZ Is it the correct prevalim */
1.227     brouard  12778:          if (vpopbased==1) {
                   12779:            if(mobilav ==0){
                   12780:              for(i=1; i<=nlstate;i++)
                   12781:                prlim[i][i]=probs[(int)age][i][k];
                   12782:            }else{ /* mobilav */ 
                   12783:              for(i=1; i<=nlstate;i++)
                   12784:                prlim[i][i]=mobaverage[(int)age][i][k];
                   12785:            }
                   12786:          }
1.219     brouard  12787:          
1.227     brouard  12788:          fprintf(ficrest," %4.0f %d %d",age, vpopbased, mobilav);
                   12789:          /* fprintf(ficrest," %4.0f %d %d %d %d",age, vpopbased, mobilav,Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */ /* to be done */
                   12790:          /* printf(" age %4.0f ",age); */
                   12791:          for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                   12792:            for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   12793:              epj[j] += prlim[i][i]*eij[i][j][(int)age];
                   12794:              /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   12795:              /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
                   12796:            }
                   12797:            epj[nlstate+1] +=epj[j];
                   12798:          }
                   12799:          /* printf(" age %4.0f \n",age); */
1.219     brouard  12800:          
1.227     brouard  12801:          for(i=1, vepp=0.;i <=nlstate;i++)
                   12802:            for(j=1;j <=nlstate;j++)
                   12803:              vepp += vareij[i][j][(int)age];
                   12804:          fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
                   12805:          for(j=1;j <=nlstate;j++){
                   12806:            fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
                   12807:          }
                   12808:          fprintf(ficrest,"\n");
                   12809:        }
1.208     brouard  12810:       } /* End vpopbased */
1.269     brouard  12811:       free_vector(epj,1,nlstate+1);
1.208     brouard  12812:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   12813:       free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.235     brouard  12814:       printf("done selection\n");fflush(stdout);
                   12815:       fprintf(ficlog,"done selection\n");fflush(ficlog);
1.208     brouard  12816:       
1.235     brouard  12817:     } /* End k selection */
1.227     brouard  12818: 
                   12819:     printf("done State-specific expectancies\n");fflush(stdout);
                   12820:     fprintf(ficlog,"done State-specific expectancies\n");fflush(ficlog);
                   12821: 
1.288     brouard  12822:     /* variance-covariance of forward period prevalence*/
1.269     brouard  12823:     varprlim(fileresu, nresult, mobaverage, mobilavproj, bage, fage, prlim, &ncvyear, ftolpl, p, matcov, delti, stepm, cptcoveff);
1.268     brouard  12824: 
1.227     brouard  12825:     
1.290     brouard  12826:     free_vector(weight,firstobs,lastobs);
1.227     brouard  12827:     free_imatrix(Tvard,1,NCOVMAX,1,2);
1.290     brouard  12828:     free_imatrix(s,1,maxwav+1,firstobs,lastobs);
                   12829:     free_matrix(anint,1,maxwav,firstobs,lastobs); 
                   12830:     free_matrix(mint,1,maxwav,firstobs,lastobs);
                   12831:     free_ivector(cod,firstobs,lastobs);
1.227     brouard  12832:     free_ivector(tab,1,NCOVMAX);
                   12833:     fclose(ficresstdeij);
                   12834:     fclose(ficrescveij);
                   12835:     fclose(ficresvij);
                   12836:     fclose(ficrest);
                   12837:     fclose(ficpar);
                   12838:     
                   12839:     
1.126     brouard  12840:     /*---------- End : free ----------------*/
1.219     brouard  12841:     if (mobilav!=0 ||mobilavproj !=0)
1.269     brouard  12842:       free_ma3x(mobaverages,AGEINF, AGESUP,1,nlstate+ndeath, 1,ncovcombmax); /* We need to have a squared matrix with prevalence of the dead! */
                   12843:     free_ma3x(probs,AGEINF,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.220     brouard  12844:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
                   12845:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
1.126     brouard  12846:   }  /* mle==-3 arrives here for freeing */
1.227     brouard  12847:   /* endfree:*/
                   12848:   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   12849:   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   12850:   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
1.290     brouard  12851:   if(ntv+nqtv>=1)free_ma3x(cotvar,1,maxwav,1,ntv+nqtv,firstobs,lastobs);
                   12852:   if(nqtv>=1)free_ma3x(cotqvar,1,maxwav,1,nqtv,firstobs,lastobs);
                   12853:   if(nqv>=1)free_matrix(coqvar,1,nqv,firstobs,lastobs);
                   12854:   free_matrix(covar,0,NCOVMAX,firstobs,lastobs);
1.227     brouard  12855:   free_matrix(matcov,1,npar,1,npar);
                   12856:   free_matrix(hess,1,npar,1,npar);
                   12857:   /*free_vector(delti,1,npar);*/
                   12858:   free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   12859:   free_matrix(agev,1,maxwav,1,imx);
1.269     brouard  12860:   free_ma3x(paramstart,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
1.227     brouard  12861:   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   12862:   
                   12863:   free_ivector(ncodemax,1,NCOVMAX);
                   12864:   free_ivector(ncodemaxwundef,1,NCOVMAX);
                   12865:   free_ivector(Dummy,-1,NCOVMAX);
                   12866:   free_ivector(Fixed,-1,NCOVMAX);
1.238     brouard  12867:   free_ivector(DummyV,1,NCOVMAX);
                   12868:   free_ivector(FixedV,1,NCOVMAX);
1.227     brouard  12869:   free_ivector(Typevar,-1,NCOVMAX);
                   12870:   free_ivector(Tvar,1,NCOVMAX);
1.234     brouard  12871:   free_ivector(TvarsQ,1,NCOVMAX);
                   12872:   free_ivector(TvarsQind,1,NCOVMAX);
                   12873:   free_ivector(TvarsD,1,NCOVMAX);
                   12874:   free_ivector(TvarsDind,1,NCOVMAX);
1.231     brouard  12875:   free_ivector(TvarFD,1,NCOVMAX);
                   12876:   free_ivector(TvarFDind,1,NCOVMAX);
1.232     brouard  12877:   free_ivector(TvarF,1,NCOVMAX);
                   12878:   free_ivector(TvarFind,1,NCOVMAX);
                   12879:   free_ivector(TvarV,1,NCOVMAX);
                   12880:   free_ivector(TvarVind,1,NCOVMAX);
                   12881:   free_ivector(TvarA,1,NCOVMAX);
                   12882:   free_ivector(TvarAind,1,NCOVMAX);
1.231     brouard  12883:   free_ivector(TvarFQ,1,NCOVMAX);
                   12884:   free_ivector(TvarFQind,1,NCOVMAX);
                   12885:   free_ivector(TvarVD,1,NCOVMAX);
                   12886:   free_ivector(TvarVDind,1,NCOVMAX);
                   12887:   free_ivector(TvarVQ,1,NCOVMAX);
                   12888:   free_ivector(TvarVQind,1,NCOVMAX);
1.230     brouard  12889:   free_ivector(Tvarsel,1,NCOVMAX);
                   12890:   free_vector(Tvalsel,1,NCOVMAX);
1.227     brouard  12891:   free_ivector(Tposprod,1,NCOVMAX);
                   12892:   free_ivector(Tprod,1,NCOVMAX);
                   12893:   free_ivector(Tvaraff,1,NCOVMAX);
                   12894:   free_ivector(invalidvarcomb,1,ncovcombmax);
                   12895:   free_ivector(Tage,1,NCOVMAX);
                   12896:   free_ivector(Tmodelind,1,NCOVMAX);
1.228     brouard  12897:   free_ivector(TmodelInvind,1,NCOVMAX);
                   12898:   free_ivector(TmodelInvQind,1,NCOVMAX);
1.227     brouard  12899:   
                   12900:   free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
                   12901:   /* free_imatrix(codtab,1,100,1,10); */
1.126     brouard  12902:   fflush(fichtm);
                   12903:   fflush(ficgp);
                   12904:   
1.227     brouard  12905:   
1.126     brouard  12906:   if((nberr >0) || (nbwarn>0)){
1.216     brouard  12907:     printf("End of Imach with %d errors and/or %d warnings. Please look at the log file for details.\n",nberr,nbwarn);
                   12908:     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  12909:   }else{
                   12910:     printf("End of Imach\n");
                   12911:     fprintf(ficlog,"End of Imach\n");
                   12912:   }
                   12913:   printf("See log file on %s\n",filelog);
                   12914:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  12915:   /*(void) gettimeofday(&end_time,&tzp);*/
                   12916:   rend_time = time(NULL);  
                   12917:   end_time = *localtime(&rend_time);
                   12918:   /* tml = *localtime(&end_time.tm_sec); */
                   12919:   strcpy(strtend,asctime(&end_time));
1.126     brouard  12920:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   12921:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  12922:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.227     brouard  12923:   
1.157     brouard  12924:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   12925:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   12926:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  12927:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   12928: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   12929:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   12930:   fclose(fichtm);
                   12931:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   12932:   fclose(fichtmcov);
                   12933:   fclose(ficgp);
                   12934:   fclose(ficlog);
                   12935:   /*------ End -----------*/
1.227     brouard  12936:   
1.281     brouard  12937: 
                   12938: /* Executes gnuplot */
1.227     brouard  12939:   
                   12940:   printf("Before Current directory %s!\n",pathcd);
1.184     brouard  12941: #ifdef WIN32
1.227     brouard  12942:   if (_chdir(pathcd) != 0)
                   12943:     printf("Can't move to directory %s!\n",path);
                   12944:   if(_getcwd(pathcd,MAXLINE) > 0)
1.184     brouard  12945: #else
1.227     brouard  12946:     if(chdir(pathcd) != 0)
                   12947:       printf("Can't move to directory %s!\n", path);
                   12948:   if (getcwd(pathcd, MAXLINE) > 0)
1.184     brouard  12949: #endif 
1.126     brouard  12950:     printf("Current directory %s!\n",pathcd);
                   12951:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   12952:   sprintf(plotcmd,"gnuplot");
1.157     brouard  12953: #ifdef _WIN32
1.126     brouard  12954:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   12955: #endif
                   12956:   if(!stat(plotcmd,&info)){
1.158     brouard  12957:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  12958:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  12959:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  12960:     }else
                   12961:       strcpy(pplotcmd,plotcmd);
1.157     brouard  12962: #ifdef __unix
1.126     brouard  12963:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   12964:     if(!stat(plotcmd,&info)){
1.158     brouard  12965:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  12966:     }else
                   12967:       strcpy(pplotcmd,plotcmd);
                   12968: #endif
                   12969:   }else
                   12970:     strcpy(pplotcmd,plotcmd);
                   12971:   
                   12972:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  12973:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.292     brouard  12974:   strcpy(pplotcmd,plotcmd);
1.227     brouard  12975:   
1.126     brouard  12976:   if((outcmd=system(plotcmd)) != 0){
1.292     brouard  12977:     printf("Error in gnuplot, command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  12978:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  12979:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.292     brouard  12980:     if((outcmd=system(plotcmd)) != 0){
1.153     brouard  12981:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.292     brouard  12982:       strcpy(plotcmd,pplotcmd);
                   12983:     }
1.126     brouard  12984:   }
1.158     brouard  12985:   printf(" Successful, please wait...");
1.126     brouard  12986:   while (z[0] != 'q') {
                   12987:     /* chdir(path); */
1.154     brouard  12988:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  12989:     scanf("%s",z);
                   12990: /*     if (z[0] == 'c') system("./imach"); */
                   12991:     if (z[0] == 'e') {
1.158     brouard  12992: #ifdef __APPLE__
1.152     brouard  12993:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  12994: #elif __linux
                   12995:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  12996: #else
1.152     brouard  12997:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  12998: #endif
                   12999:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   13000:       system(pplotcmd);
1.126     brouard  13001:     }
                   13002:     else if (z[0] == 'g') system(plotcmd);
                   13003:     else if (z[0] == 'q') exit(0);
                   13004:   }
1.227     brouard  13005: end:
1.126     brouard  13006:   while (z[0] != 'q') {
1.195     brouard  13007:     printf("\nType  q for exiting: "); fflush(stdout);
1.126     brouard  13008:     scanf("%s",z);
                   13009:   }
1.283     brouard  13010:   printf("End\n");
1.282     brouard  13011:   exit(0);
1.126     brouard  13012: }

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