Annotation of imach/src/imach.c, revision 1.297

1.297   ! brouard     1: /* $Id: imach.c,v 1.296 2019/05/20 13:03:18 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.297   ! brouard     4:   Revision 1.296  2019/05/20 13:03:18  brouard
        !             5:   Summary: Projection syntax simplified
        !             6: 
        !             7: 
        !             8:   We can now start projections, forward or backward, from the mean date
        !             9:   of inteviews up to or down to a number of years of projection:
        !            10:   prevforecast=1 yearsfproj=15.3 mobil_average=0
        !            11:   or
        !            12:   prevforecast=1 starting-proj-date=1/1/2007 final-proj-date=12/31/2017 mobil_average=0
        !            13:   or
        !            14:   prevbackcast=1 yearsbproj=12.3 mobil_average=1
        !            15:   or
        !            16:   prevbackcast=1 starting-back-date=1/10/1999 final-back-date=1/1/1985 mobil_average=1
        !            17: 
1.296     brouard    18:   Revision 1.295  2019/05/18 09:52:50  brouard
                     19:   Summary: doxygen tex bug
                     20: 
1.295     brouard    21:   Revision 1.294  2019/05/16 14:54:33  brouard
                     22:   Summary: There was some wrong lines added
                     23: 
1.294     brouard    24:   Revision 1.293  2019/05/09 15:17:34  brouard
                     25:   *** empty log message ***
                     26: 
1.293     brouard    27:   Revision 1.292  2019/05/09 14:17:20  brouard
                     28:   Summary: Some updates
                     29: 
1.292     brouard    30:   Revision 1.291  2019/05/09 13:44:18  brouard
                     31:   Summary: Before ncovmax
                     32: 
1.291     brouard    33:   Revision 1.290  2019/05/09 13:39:37  brouard
                     34:   Summary: 0.99r18 unlimited number of individuals
                     35: 
                     36:   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.
                     37: 
1.290     brouard    38:   Revision 1.289  2018/12/13 09:16:26  brouard
                     39:   Summary: Bug for young ages (<-30) will be in r17
                     40: 
1.289     brouard    41:   Revision 1.288  2018/05/02 20:58:27  brouard
                     42:   Summary: Some bugs fixed
                     43: 
1.288     brouard    44:   Revision 1.287  2018/05/01 17:57:25  brouard
                     45:   Summary: Bug fixed by providing frequencies only for non missing covariates
                     46: 
1.287     brouard    47:   Revision 1.286  2018/04/27 14:27:04  brouard
                     48:   Summary: some minor bugs
                     49: 
1.286     brouard    50:   Revision 1.285  2018/04/21 21:02:16  brouard
                     51:   Summary: Some bugs fixed, valgrind tested
                     52: 
1.285     brouard    53:   Revision 1.284  2018/04/20 05:22:13  brouard
                     54:   Summary: Computing mean and stdeviation of fixed quantitative variables
                     55: 
1.284     brouard    56:   Revision 1.283  2018/04/19 14:49:16  brouard
                     57:   Summary: Some minor bugs fixed
                     58: 
1.283     brouard    59:   Revision 1.282  2018/02/27 22:50:02  brouard
                     60:   *** empty log message ***
                     61: 
1.282     brouard    62:   Revision 1.281  2018/02/27 19:25:23  brouard
                     63:   Summary: Adding second argument for quitting
                     64: 
1.281     brouard    65:   Revision 1.280  2018/02/21 07:58:13  brouard
                     66:   Summary: 0.99r15
                     67: 
                     68:   New Makefile with recent VirtualBox 5.26. Bug in sqrt negatve in imach.c
                     69: 
1.280     brouard    70:   Revision 1.279  2017/07/20 13:35:01  brouard
                     71:   Summary: temporary working
                     72: 
1.279     brouard    73:   Revision 1.278  2017/07/19 14:09:02  brouard
                     74:   Summary: Bug for mobil_average=0 and prevforecast fixed(?)
                     75: 
1.278     brouard    76:   Revision 1.277  2017/07/17 08:53:49  brouard
                     77:   Summary: BOM files can be read now
                     78: 
1.277     brouard    79:   Revision 1.276  2017/06/30 15:48:31  brouard
                     80:   Summary: Graphs improvements
                     81: 
1.276     brouard    82:   Revision 1.275  2017/06/30 13:39:33  brouard
                     83:   Summary: Saito's color
                     84: 
1.275     brouard    85:   Revision 1.274  2017/06/29 09:47:08  brouard
                     86:   Summary: Version 0.99r14
                     87: 
1.274     brouard    88:   Revision 1.273  2017/06/27 11:06:02  brouard
                     89:   Summary: More documentation on projections
                     90: 
1.273     brouard    91:   Revision 1.272  2017/06/27 10:22:40  brouard
                     92:   Summary: Color of backprojection changed from 6 to 5(yellow)
                     93: 
1.272     brouard    94:   Revision 1.271  2017/06/27 10:17:50  brouard
                     95:   Summary: Some bug with rint
                     96: 
1.271     brouard    97:   Revision 1.270  2017/05/24 05:45:29  brouard
                     98:   *** empty log message ***
                     99: 
1.270     brouard   100:   Revision 1.269  2017/05/23 08:39:25  brouard
                    101:   Summary: Code into subroutine, cleanings
                    102: 
1.269     brouard   103:   Revision 1.268  2017/05/18 20:09:32  brouard
                    104:   Summary: backprojection and confidence intervals of backprevalence
                    105: 
1.268     brouard   106:   Revision 1.267  2017/05/13 10:25:05  brouard
                    107:   Summary: temporary save for backprojection
                    108: 
1.267     brouard   109:   Revision 1.266  2017/05/13 07:26:12  brouard
                    110:   Summary: Version 0.99r13 (improvements and bugs fixed)
                    111: 
1.266     brouard   112:   Revision 1.265  2017/04/26 16:22:11  brouard
                    113:   Summary: imach 0.99r13 Some bugs fixed
                    114: 
1.265     brouard   115:   Revision 1.264  2017/04/26 06:01:29  brouard
                    116:   Summary: Labels in graphs
                    117: 
1.264     brouard   118:   Revision 1.263  2017/04/24 15:23:15  brouard
                    119:   Summary: to save
                    120: 
1.263     brouard   121:   Revision 1.262  2017/04/18 16:48:12  brouard
                    122:   *** empty log message ***
                    123: 
1.262     brouard   124:   Revision 1.261  2017/04/05 10:14:09  brouard
                    125:   Summary: Bug in E_ as well as in T_ fixed nres-1 vs k1-1
                    126: 
1.261     brouard   127:   Revision 1.260  2017/04/04 17:46:59  brouard
                    128:   Summary: Gnuplot indexations fixed (humm)
                    129: 
1.260     brouard   130:   Revision 1.259  2017/04/04 13:01:16  brouard
                    131:   Summary: Some errors to warnings only if date of death is unknown but status is death we could set to pi3
                    132: 
1.259     brouard   133:   Revision 1.258  2017/04/03 10:17:47  brouard
                    134:   Summary: Version 0.99r12
                    135: 
                    136:   Some cleanings, conformed with updated documentation.
                    137: 
1.258     brouard   138:   Revision 1.257  2017/03/29 16:53:30  brouard
                    139:   Summary: Temp
                    140: 
1.257     brouard   141:   Revision 1.256  2017/03/27 05:50:23  brouard
                    142:   Summary: Temporary
                    143: 
1.256     brouard   144:   Revision 1.255  2017/03/08 16:02:28  brouard
                    145:   Summary: IMaCh version 0.99r10 bugs in gnuplot fixed
                    146: 
1.255     brouard   147:   Revision 1.254  2017/03/08 07:13:00  brouard
                    148:   Summary: Fixing data parameter line
                    149: 
1.254     brouard   150:   Revision 1.253  2016/12/15 11:59:41  brouard
                    151:   Summary: 0.99 in progress
                    152: 
1.253     brouard   153:   Revision 1.252  2016/09/15 21:15:37  brouard
                    154:   *** empty log message ***
                    155: 
1.252     brouard   156:   Revision 1.251  2016/09/15 15:01:13  brouard
                    157:   Summary: not working
                    158: 
1.251     brouard   159:   Revision 1.250  2016/09/08 16:07:27  brouard
                    160:   Summary: continue
                    161: 
1.250     brouard   162:   Revision 1.249  2016/09/07 17:14:18  brouard
                    163:   Summary: Starting values from frequencies
                    164: 
1.249     brouard   165:   Revision 1.248  2016/09/07 14:10:18  brouard
                    166:   *** empty log message ***
                    167: 
1.248     brouard   168:   Revision 1.247  2016/09/02 11:11:21  brouard
                    169:   *** empty log message ***
                    170: 
1.247     brouard   171:   Revision 1.246  2016/09/02 08:49:22  brouard
                    172:   *** empty log message ***
                    173: 
1.246     brouard   174:   Revision 1.245  2016/09/02 07:25:01  brouard
                    175:   *** empty log message ***
                    176: 
1.245     brouard   177:   Revision 1.244  2016/09/02 07:17:34  brouard
                    178:   *** empty log message ***
                    179: 
1.244     brouard   180:   Revision 1.243  2016/09/02 06:45:35  brouard
                    181:   *** empty log message ***
                    182: 
1.243     brouard   183:   Revision 1.242  2016/08/30 15:01:20  brouard
                    184:   Summary: Fixing a lots
                    185: 
1.242     brouard   186:   Revision 1.241  2016/08/29 17:17:25  brouard
                    187:   Summary: gnuplot problem in Back projection to fix
                    188: 
1.241     brouard   189:   Revision 1.240  2016/08/29 07:53:18  brouard
                    190:   Summary: Better
                    191: 
1.240     brouard   192:   Revision 1.239  2016/08/26 15:51:03  brouard
                    193:   Summary: Improvement in Powell output in order to copy and paste
                    194: 
                    195:   Author:
                    196: 
1.239     brouard   197:   Revision 1.238  2016/08/26 14:23:35  brouard
                    198:   Summary: Starting tests of 0.99
                    199: 
1.238     brouard   200:   Revision 1.237  2016/08/26 09:20:19  brouard
                    201:   Summary: to valgrind
                    202: 
1.237     brouard   203:   Revision 1.236  2016/08/25 10:50:18  brouard
                    204:   *** empty log message ***
                    205: 
1.236     brouard   206:   Revision 1.235  2016/08/25 06:59:23  brouard
                    207:   *** empty log message ***
                    208: 
1.235     brouard   209:   Revision 1.234  2016/08/23 16:51:20  brouard
                    210:   *** empty log message ***
                    211: 
1.234     brouard   212:   Revision 1.233  2016/08/23 07:40:50  brouard
                    213:   Summary: not working
                    214: 
1.233     brouard   215:   Revision 1.232  2016/08/22 14:20:21  brouard
                    216:   Summary: not working
                    217: 
1.232     brouard   218:   Revision 1.231  2016/08/22 07:17:15  brouard
                    219:   Summary: not working
                    220: 
1.231     brouard   221:   Revision 1.230  2016/08/22 06:55:53  brouard
                    222:   Summary: Not working
                    223: 
1.230     brouard   224:   Revision 1.229  2016/07/23 09:45:53  brouard
                    225:   Summary: Completing for func too
                    226: 
1.229     brouard   227:   Revision 1.228  2016/07/22 17:45:30  brouard
                    228:   Summary: Fixing some arrays, still debugging
                    229: 
1.227     brouard   230:   Revision 1.226  2016/07/12 18:42:34  brouard
                    231:   Summary: temp
                    232: 
1.226     brouard   233:   Revision 1.225  2016/07/12 08:40:03  brouard
                    234:   Summary: saving but not running
                    235: 
1.225     brouard   236:   Revision 1.224  2016/07/01 13:16:01  brouard
                    237:   Summary: Fixes
                    238: 
1.224     brouard   239:   Revision 1.223  2016/02/19 09:23:35  brouard
                    240:   Summary: temporary
                    241: 
1.223     brouard   242:   Revision 1.222  2016/02/17 08:14:50  brouard
                    243:   Summary: Probably last 0.98 stable version 0.98r6
                    244: 
1.222     brouard   245:   Revision 1.221  2016/02/15 23:35:36  brouard
                    246:   Summary: minor bug
                    247: 
1.220     brouard   248:   Revision 1.219  2016/02/15 00:48:12  brouard
                    249:   *** empty log message ***
                    250: 
1.219     brouard   251:   Revision 1.218  2016/02/12 11:29:23  brouard
                    252:   Summary: 0.99 Back projections
                    253: 
1.218     brouard   254:   Revision 1.217  2015/12/23 17:18:31  brouard
                    255:   Summary: Experimental backcast
                    256: 
1.217     brouard   257:   Revision 1.216  2015/12/18 17:32:11  brouard
                    258:   Summary: 0.98r4 Warning and status=-2
                    259: 
                    260:   Version 0.98r4 is now:
                    261:    - displaying an error when status is -1, date of interview unknown and date of death known;
                    262:    - permitting a status -2 when the vital status is unknown at a known date of right truncation.
                    263:   Older changes concerning s=-2, dating from 2005 have been supersed.
                    264: 
1.216     brouard   265:   Revision 1.215  2015/12/16 08:52:24  brouard
                    266:   Summary: 0.98r4 working
                    267: 
1.215     brouard   268:   Revision 1.214  2015/12/16 06:57:54  brouard
                    269:   Summary: temporary not working
                    270: 
1.214     brouard   271:   Revision 1.213  2015/12/11 18:22:17  brouard
                    272:   Summary: 0.98r4
                    273: 
1.213     brouard   274:   Revision 1.212  2015/11/21 12:47:24  brouard
                    275:   Summary: minor typo
                    276: 
1.212     brouard   277:   Revision 1.211  2015/11/21 12:41:11  brouard
                    278:   Summary: 0.98r3 with some graph of projected cross-sectional
                    279: 
                    280:   Author: Nicolas Brouard
                    281: 
1.211     brouard   282:   Revision 1.210  2015/11/18 17:41:20  brouard
1.252     brouard   283:   Summary: Start working on projected prevalences  Revision 1.209  2015/11/17 22:12:03  brouard
1.210     brouard   284:   Summary: Adding ftolpl parameter
                    285:   Author: N Brouard
                    286: 
                    287:   We had difficulties to get smoothed confidence intervals. It was due
                    288:   to the period prevalence which wasn't computed accurately. The inner
                    289:   parameter ftolpl is now an outer parameter of the .imach parameter
                    290:   file after estepm. If ftolpl is small 1.e-4 and estepm too,
                    291:   computation are long.
                    292: 
1.209     brouard   293:   Revision 1.208  2015/11/17 14:31:57  brouard
                    294:   Summary: temporary
                    295: 
1.208     brouard   296:   Revision 1.207  2015/10/27 17:36:57  brouard
                    297:   *** empty log message ***
                    298: 
1.207     brouard   299:   Revision 1.206  2015/10/24 07:14:11  brouard
                    300:   *** empty log message ***
                    301: 
1.206     brouard   302:   Revision 1.205  2015/10/23 15:50:53  brouard
                    303:   Summary: 0.98r3 some clarification for graphs on likelihood contributions
                    304: 
1.205     brouard   305:   Revision 1.204  2015/10/01 16:20:26  brouard
                    306:   Summary: Some new graphs of contribution to likelihood
                    307: 
1.204     brouard   308:   Revision 1.203  2015/09/30 17:45:14  brouard
                    309:   Summary: looking at better estimation of the hessian
                    310: 
                    311:   Also a better criteria for convergence to the period prevalence And
                    312:   therefore adding the number of years needed to converge. (The
                    313:   prevalence in any alive state shold sum to one
                    314: 
1.203     brouard   315:   Revision 1.202  2015/09/22 19:45:16  brouard
                    316:   Summary: Adding some overall graph on contribution to likelihood. Might change
                    317: 
1.202     brouard   318:   Revision 1.201  2015/09/15 17:34:58  brouard
                    319:   Summary: 0.98r0
                    320: 
                    321:   - Some new graphs like suvival functions
                    322:   - Some bugs fixed like model=1+age+V2.
                    323: 
1.201     brouard   324:   Revision 1.200  2015/09/09 16:53:55  brouard
                    325:   Summary: Big bug thanks to Flavia
                    326: 
                    327:   Even model=1+age+V2. did not work anymore
                    328: 
1.200     brouard   329:   Revision 1.199  2015/09/07 14:09:23  brouard
                    330:   Summary: 0.98q6 changing default small png format for graph to vectorized svg.
                    331: 
1.199     brouard   332:   Revision 1.198  2015/09/03 07:14:39  brouard
                    333:   Summary: 0.98q5 Flavia
                    334: 
1.198     brouard   335:   Revision 1.197  2015/09/01 18:24:39  brouard
                    336:   *** empty log message ***
                    337: 
1.197     brouard   338:   Revision 1.196  2015/08/18 23:17:52  brouard
                    339:   Summary: 0.98q5
                    340: 
1.196     brouard   341:   Revision 1.195  2015/08/18 16:28:39  brouard
                    342:   Summary: Adding a hack for testing purpose
                    343: 
                    344:   After reading the title, ftol and model lines, if the comment line has
                    345:   a q, starting with #q, the answer at the end of the run is quit. It
                    346:   permits to run test files in batch with ctest. The former workaround was
                    347:   $ echo q | imach foo.imach
                    348: 
1.195     brouard   349:   Revision 1.194  2015/08/18 13:32:00  brouard
                    350:   Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
                    351: 
1.194     brouard   352:   Revision 1.193  2015/08/04 07:17:42  brouard
                    353:   Summary: 0.98q4
                    354: 
1.193     brouard   355:   Revision 1.192  2015/07/16 16:49:02  brouard
                    356:   Summary: Fixing some outputs
                    357: 
1.192     brouard   358:   Revision 1.191  2015/07/14 10:00:33  brouard
                    359:   Summary: Some fixes
                    360: 
1.191     brouard   361:   Revision 1.190  2015/05/05 08:51:13  brouard
                    362:   Summary: Adding digits in output parameters (7 digits instead of 6)
                    363: 
                    364:   Fix 1+age+.
                    365: 
1.190     brouard   366:   Revision 1.189  2015/04/30 14:45:16  brouard
                    367:   Summary: 0.98q2
                    368: 
1.189     brouard   369:   Revision 1.188  2015/04/30 08:27:53  brouard
                    370:   *** empty log message ***
                    371: 
1.188     brouard   372:   Revision 1.187  2015/04/29 09:11:15  brouard
                    373:   *** empty log message ***
                    374: 
1.187     brouard   375:   Revision 1.186  2015/04/23 12:01:52  brouard
                    376:   Summary: V1*age is working now, version 0.98q1
                    377: 
                    378:   Some codes had been disabled in order to simplify and Vn*age was
                    379:   working in the optimization phase, ie, giving correct MLE parameters,
                    380:   but, as usual, outputs were not correct and program core dumped.
                    381: 
1.186     brouard   382:   Revision 1.185  2015/03/11 13:26:42  brouard
                    383:   Summary: Inclusion of compile and links command line for Intel Compiler
                    384: 
1.185     brouard   385:   Revision 1.184  2015/03/11 11:52:39  brouard
                    386:   Summary: Back from Windows 8. Intel Compiler
                    387: 
1.184     brouard   388:   Revision 1.183  2015/03/10 20:34:32  brouard
                    389:   Summary: 0.98q0, trying with directest, mnbrak fixed
                    390: 
                    391:   We use directest instead of original Powell test; probably no
                    392:   incidence on the results, but better justifications;
                    393:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                    394:   wrong results.
                    395: 
1.183     brouard   396:   Revision 1.182  2015/02/12 08:19:57  brouard
                    397:   Summary: Trying to keep directest which seems simpler and more general
                    398:   Author: Nicolas Brouard
                    399: 
1.182     brouard   400:   Revision 1.181  2015/02/11 23:22:24  brouard
                    401:   Summary: Comments on Powell added
                    402: 
                    403:   Author:
                    404: 
1.181     brouard   405:   Revision 1.180  2015/02/11 17:33:45  brouard
                    406:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                    407: 
1.180     brouard   408:   Revision 1.179  2015/01/04 09:57:06  brouard
                    409:   Summary: back to OS/X
                    410: 
1.179     brouard   411:   Revision 1.178  2015/01/04 09:35:48  brouard
                    412:   *** empty log message ***
                    413: 
1.178     brouard   414:   Revision 1.177  2015/01/03 18:40:56  brouard
                    415:   Summary: Still testing ilc32 on OSX
                    416: 
1.177     brouard   417:   Revision 1.176  2015/01/03 16:45:04  brouard
                    418:   *** empty log message ***
                    419: 
1.176     brouard   420:   Revision 1.175  2015/01/03 16:33:42  brouard
                    421:   *** empty log message ***
                    422: 
1.175     brouard   423:   Revision 1.174  2015/01/03 16:15:49  brouard
                    424:   Summary: Still in cross-compilation
                    425: 
1.174     brouard   426:   Revision 1.173  2015/01/03 12:06:26  brouard
                    427:   Summary: trying to detect cross-compilation
                    428: 
1.173     brouard   429:   Revision 1.172  2014/12/27 12:07:47  brouard
                    430:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                    431: 
1.172     brouard   432:   Revision 1.171  2014/12/23 13:26:59  brouard
                    433:   Summary: Back from Visual C
                    434: 
                    435:   Still problem with utsname.h on Windows
                    436: 
1.171     brouard   437:   Revision 1.170  2014/12/23 11:17:12  brouard
                    438:   Summary: Cleaning some \%% back to %%
                    439: 
                    440:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                    441: 
1.170     brouard   442:   Revision 1.169  2014/12/22 23:08:31  brouard
                    443:   Summary: 0.98p
                    444: 
                    445:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                    446: 
1.169     brouard   447:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard   448:   Summary: update
1.169     brouard   449: 
1.168     brouard   450:   Revision 1.167  2014/12/22 13:50:56  brouard
                    451:   Summary: Testing uname and compiler version and if compiled 32 or 64
                    452: 
                    453:   Testing on Linux 64
                    454: 
1.167     brouard   455:   Revision 1.166  2014/12/22 11:40:47  brouard
                    456:   *** empty log message ***
                    457: 
1.166     brouard   458:   Revision 1.165  2014/12/16 11:20:36  brouard
                    459:   Summary: After compiling on Visual C
                    460: 
                    461:   * imach.c (Module): Merging 1.61 to 1.162
                    462: 
1.165     brouard   463:   Revision 1.164  2014/12/16 10:52:11  brouard
                    464:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    465: 
                    466:   * imach.c (Module): Merging 1.61 to 1.162
                    467: 
1.164     brouard   468:   Revision 1.163  2014/12/16 10:30:11  brouard
                    469:   * imach.c (Module): Merging 1.61 to 1.162
                    470: 
1.163     brouard   471:   Revision 1.162  2014/09/25 11:43:39  brouard
                    472:   Summary: temporary backup 0.99!
                    473: 
1.162     brouard   474:   Revision 1.1  2014/09/16 11:06:58  brouard
                    475:   Summary: With some code (wrong) for nlopt
                    476: 
                    477:   Author:
                    478: 
                    479:   Revision 1.161  2014/09/15 20:41:41  brouard
                    480:   Summary: Problem with macro SQR on Intel compiler
                    481: 
1.161     brouard   482:   Revision 1.160  2014/09/02 09:24:05  brouard
                    483:   *** empty log message ***
                    484: 
1.160     brouard   485:   Revision 1.159  2014/09/01 10:34:10  brouard
                    486:   Summary: WIN32
                    487:   Author: Brouard
                    488: 
1.159     brouard   489:   Revision 1.158  2014/08/27 17:11:51  brouard
                    490:   *** empty log message ***
                    491: 
1.158     brouard   492:   Revision 1.157  2014/08/27 16:26:55  brouard
                    493:   Summary: Preparing windows Visual studio version
                    494:   Author: Brouard
                    495: 
                    496:   In order to compile on Visual studio, time.h is now correct and time_t
                    497:   and tm struct should be used. difftime should be used but sometimes I
                    498:   just make the differences in raw time format (time(&now).
                    499:   Trying to suppress #ifdef LINUX
                    500:   Add xdg-open for __linux in order to open default browser.
                    501: 
1.157     brouard   502:   Revision 1.156  2014/08/25 20:10:10  brouard
                    503:   *** empty log message ***
                    504: 
1.156     brouard   505:   Revision 1.155  2014/08/25 18:32:34  brouard
                    506:   Summary: New compile, minor changes
                    507:   Author: Brouard
                    508: 
1.155     brouard   509:   Revision 1.154  2014/06/20 17:32:08  brouard
                    510:   Summary: Outputs now all graphs of convergence to period prevalence
                    511: 
1.154     brouard   512:   Revision 1.153  2014/06/20 16:45:46  brouard
                    513:   Summary: If 3 live state, convergence to period prevalence on same graph
                    514:   Author: Brouard
                    515: 
1.153     brouard   516:   Revision 1.152  2014/06/18 17:54:09  brouard
                    517:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    518: 
1.152     brouard   519:   Revision 1.151  2014/06/18 16:43:30  brouard
                    520:   *** empty log message ***
                    521: 
1.151     brouard   522:   Revision 1.150  2014/06/18 16:42:35  brouard
                    523:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    524:   Author: brouard
                    525: 
1.150     brouard   526:   Revision 1.149  2014/06/18 15:51:14  brouard
                    527:   Summary: Some fixes in parameter files errors
                    528:   Author: Nicolas Brouard
                    529: 
1.149     brouard   530:   Revision 1.148  2014/06/17 17:38:48  brouard
                    531:   Summary: Nothing new
                    532:   Author: Brouard
                    533: 
                    534:   Just a new packaging for OS/X version 0.98nS
                    535: 
1.148     brouard   536:   Revision 1.147  2014/06/16 10:33:11  brouard
                    537:   *** empty log message ***
                    538: 
1.147     brouard   539:   Revision 1.146  2014/06/16 10:20:28  brouard
                    540:   Summary: Merge
                    541:   Author: Brouard
                    542: 
                    543:   Merge, before building revised version.
                    544: 
1.146     brouard   545:   Revision 1.145  2014/06/10 21:23:15  brouard
                    546:   Summary: Debugging with valgrind
                    547:   Author: Nicolas Brouard
                    548: 
                    549:   Lot of changes in order to output the results with some covariates
                    550:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    551:   improve the code.
                    552:   No more memory valgrind error but a lot has to be done in order to
                    553:   continue the work of splitting the code into subroutines.
                    554:   Also, decodemodel has been improved. Tricode is still not
                    555:   optimal. nbcode should be improved. Documentation has been added in
                    556:   the source code.
                    557: 
1.144     brouard   558:   Revision 1.143  2014/01/26 09:45:38  brouard
                    559:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    560: 
                    561:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    562:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    563: 
1.143     brouard   564:   Revision 1.142  2014/01/26 03:57:36  brouard
                    565:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    566: 
                    567:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    568: 
1.142     brouard   569:   Revision 1.141  2014/01/26 02:42:01  brouard
                    570:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    571: 
1.141     brouard   572:   Revision 1.140  2011/09/02 10:37:54  brouard
                    573:   Summary: times.h is ok with mingw32 now.
                    574: 
1.140     brouard   575:   Revision 1.139  2010/06/14 07:50:17  brouard
                    576:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    577:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    578: 
1.139     brouard   579:   Revision 1.138  2010/04/30 18:19:40  brouard
                    580:   *** empty log message ***
                    581: 
1.138     brouard   582:   Revision 1.137  2010/04/29 18:11:38  brouard
                    583:   (Module): Checking covariates for more complex models
                    584:   than V1+V2. A lot of change to be done. Unstable.
                    585: 
1.137     brouard   586:   Revision 1.136  2010/04/26 20:30:53  brouard
                    587:   (Module): merging some libgsl code. Fixing computation
                    588:   of likelione (using inter/intrapolation if mle = 0) in order to
                    589:   get same likelihood as if mle=1.
                    590:   Some cleaning of code and comments added.
                    591: 
1.136     brouard   592:   Revision 1.135  2009/10/29 15:33:14  brouard
                    593:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    594: 
1.135     brouard   595:   Revision 1.134  2009/10/29 13:18:53  brouard
                    596:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    597: 
1.134     brouard   598:   Revision 1.133  2009/07/06 10:21:25  brouard
                    599:   just nforces
                    600: 
1.133     brouard   601:   Revision 1.132  2009/07/06 08:22:05  brouard
                    602:   Many tings
                    603: 
1.132     brouard   604:   Revision 1.131  2009/06/20 16:22:47  brouard
                    605:   Some dimensions resccaled
                    606: 
1.131     brouard   607:   Revision 1.130  2009/05/26 06:44:34  brouard
                    608:   (Module): Max Covariate is now set to 20 instead of 8. A
                    609:   lot of cleaning with variables initialized to 0. Trying to make
                    610:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    611: 
1.130     brouard   612:   Revision 1.129  2007/08/31 13:49:27  lievre
                    613:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    614: 
1.129     lievre    615:   Revision 1.128  2006/06/30 13:02:05  brouard
                    616:   (Module): Clarifications on computing e.j
                    617: 
1.128     brouard   618:   Revision 1.127  2006/04/28 18:11:50  brouard
                    619:   (Module): Yes the sum of survivors was wrong since
                    620:   imach-114 because nhstepm was no more computed in the age
                    621:   loop. Now we define nhstepma in the age loop.
                    622:   (Module): In order to speed up (in case of numerous covariates) we
                    623:   compute health expectancies (without variances) in a first step
                    624:   and then all the health expectancies with variances or standard
                    625:   deviation (needs data from the Hessian matrices) which slows the
                    626:   computation.
                    627:   In the future we should be able to stop the program is only health
                    628:   expectancies and graph are needed without standard deviations.
                    629: 
1.127     brouard   630:   Revision 1.126  2006/04/28 17:23:28  brouard
                    631:   (Module): Yes the sum of survivors was wrong since
                    632:   imach-114 because nhstepm was no more computed in the age
                    633:   loop. Now we define nhstepma in the age loop.
                    634:   Version 0.98h
                    635: 
1.126     brouard   636:   Revision 1.125  2006/04/04 15:20:31  lievre
                    637:   Errors in calculation of health expectancies. Age was not initialized.
                    638:   Forecasting file added.
                    639: 
                    640:   Revision 1.124  2006/03/22 17:13:53  lievre
                    641:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    642:   The log-likelihood is printed in the log file
                    643: 
                    644:   Revision 1.123  2006/03/20 10:52:43  brouard
                    645:   * imach.c (Module): <title> changed, corresponds to .htm file
                    646:   name. <head> headers where missing.
                    647: 
                    648:   * imach.c (Module): Weights can have a decimal point as for
                    649:   English (a comma might work with a correct LC_NUMERIC environment,
                    650:   otherwise the weight is truncated).
                    651:   Modification of warning when the covariates values are not 0 or
                    652:   1.
                    653:   Version 0.98g
                    654: 
                    655:   Revision 1.122  2006/03/20 09:45:41  brouard
                    656:   (Module): Weights can have a decimal point as for
                    657:   English (a comma might work with a correct LC_NUMERIC environment,
                    658:   otherwise the weight is truncated).
                    659:   Modification of warning when the covariates values are not 0 or
                    660:   1.
                    661:   Version 0.98g
                    662: 
                    663:   Revision 1.121  2006/03/16 17:45:01  lievre
                    664:   * imach.c (Module): Comments concerning covariates added
                    665: 
                    666:   * imach.c (Module): refinements in the computation of lli if
                    667:   status=-2 in order to have more reliable computation if stepm is
                    668:   not 1 month. Version 0.98f
                    669: 
                    670:   Revision 1.120  2006/03/16 15:10:38  lievre
                    671:   (Module): refinements in the computation of lli if
                    672:   status=-2 in order to have more reliable computation if stepm is
                    673:   not 1 month. Version 0.98f
                    674: 
                    675:   Revision 1.119  2006/03/15 17:42:26  brouard
                    676:   (Module): Bug if status = -2, the loglikelihood was
                    677:   computed as likelihood omitting the logarithm. Version O.98e
                    678: 
                    679:   Revision 1.118  2006/03/14 18:20:07  brouard
                    680:   (Module): varevsij Comments added explaining the second
                    681:   table of variances if popbased=1 .
                    682:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    683:   (Module): Function pstamp added
                    684:   (Module): Version 0.98d
                    685: 
                    686:   Revision 1.117  2006/03/14 17:16:22  brouard
                    687:   (Module): varevsij Comments added explaining the second
                    688:   table of variances if popbased=1 .
                    689:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    690:   (Module): Function pstamp added
                    691:   (Module): Version 0.98d
                    692: 
                    693:   Revision 1.116  2006/03/06 10:29:27  brouard
                    694:   (Module): Variance-covariance wrong links and
                    695:   varian-covariance of ej. is needed (Saito).
                    696: 
                    697:   Revision 1.115  2006/02/27 12:17:45  brouard
                    698:   (Module): One freematrix added in mlikeli! 0.98c
                    699: 
                    700:   Revision 1.114  2006/02/26 12:57:58  brouard
                    701:   (Module): Some improvements in processing parameter
                    702:   filename with strsep.
                    703: 
                    704:   Revision 1.113  2006/02/24 14:20:24  brouard
                    705:   (Module): Memory leaks checks with valgrind and:
                    706:   datafile was not closed, some imatrix were not freed and on matrix
                    707:   allocation too.
                    708: 
                    709:   Revision 1.112  2006/01/30 09:55:26  brouard
                    710:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    711: 
                    712:   Revision 1.111  2006/01/25 20:38:18  brouard
                    713:   (Module): Lots of cleaning and bugs added (Gompertz)
                    714:   (Module): Comments can be added in data file. Missing date values
                    715:   can be a simple dot '.'.
                    716: 
                    717:   Revision 1.110  2006/01/25 00:51:50  brouard
                    718:   (Module): Lots of cleaning and bugs added (Gompertz)
                    719: 
                    720:   Revision 1.109  2006/01/24 19:37:15  brouard
                    721:   (Module): Comments (lines starting with a #) are allowed in data.
                    722: 
                    723:   Revision 1.108  2006/01/19 18:05:42  lievre
                    724:   Gnuplot problem appeared...
                    725:   To be fixed
                    726: 
                    727:   Revision 1.107  2006/01/19 16:20:37  brouard
                    728:   Test existence of gnuplot in imach path
                    729: 
                    730:   Revision 1.106  2006/01/19 13:24:36  brouard
                    731:   Some cleaning and links added in html output
                    732: 
                    733:   Revision 1.105  2006/01/05 20:23:19  lievre
                    734:   *** empty log message ***
                    735: 
                    736:   Revision 1.104  2005/09/30 16:11:43  lievre
                    737:   (Module): sump fixed, loop imx fixed, and simplifications.
                    738:   (Module): If the status is missing at the last wave but we know
                    739:   that the person is alive, then we can code his/her status as -2
                    740:   (instead of missing=-1 in earlier versions) and his/her
                    741:   contributions to the likelihood is 1 - Prob of dying from last
                    742:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    743:   the healthy state at last known wave). Version is 0.98
                    744: 
                    745:   Revision 1.103  2005/09/30 15:54:49  lievre
                    746:   (Module): sump fixed, loop imx fixed, and simplifications.
                    747: 
                    748:   Revision 1.102  2004/09/15 17:31:30  brouard
                    749:   Add the possibility to read data file including tab characters.
                    750: 
                    751:   Revision 1.101  2004/09/15 10:38:38  brouard
                    752:   Fix on curr_time
                    753: 
                    754:   Revision 1.100  2004/07/12 18:29:06  brouard
                    755:   Add version for Mac OS X. Just define UNIX in Makefile
                    756: 
                    757:   Revision 1.99  2004/06/05 08:57:40  brouard
                    758:   *** empty log message ***
                    759: 
                    760:   Revision 1.98  2004/05/16 15:05:56  brouard
                    761:   New version 0.97 . First attempt to estimate force of mortality
                    762:   directly from the data i.e. without the need of knowing the health
                    763:   state at each age, but using a Gompertz model: log u =a + b*age .
                    764:   This is the basic analysis of mortality and should be done before any
                    765:   other analysis, in order to test if the mortality estimated from the
                    766:   cross-longitudinal survey is different from the mortality estimated
                    767:   from other sources like vital statistic data.
                    768: 
                    769:   The same imach parameter file can be used but the option for mle should be -3.
                    770: 
1.133     brouard   771:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   772:   former routines in order to include the new code within the former code.
                    773: 
                    774:   The output is very simple: only an estimate of the intercept and of
                    775:   the slope with 95% confident intervals.
                    776: 
                    777:   Current limitations:
                    778:   A) Even if you enter covariates, i.e. with the
                    779:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    780:   B) There is no computation of Life Expectancy nor Life Table.
                    781: 
                    782:   Revision 1.97  2004/02/20 13:25:42  lievre
                    783:   Version 0.96d. Population forecasting command line is (temporarily)
                    784:   suppressed.
                    785: 
                    786:   Revision 1.96  2003/07/15 15:38:55  brouard
                    787:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    788:   rewritten within the same printf. Workaround: many printfs.
                    789: 
                    790:   Revision 1.95  2003/07/08 07:54:34  brouard
                    791:   * imach.c (Repository):
                    792:   (Repository): Using imachwizard code to output a more meaningful covariance
                    793:   matrix (cov(a12,c31) instead of numbers.
                    794: 
                    795:   Revision 1.94  2003/06/27 13:00:02  brouard
                    796:   Just cleaning
                    797: 
                    798:   Revision 1.93  2003/06/25 16:33:55  brouard
                    799:   (Module): On windows (cygwin) function asctime_r doesn't
                    800:   exist so I changed back to asctime which exists.
                    801:   (Module): Version 0.96b
                    802: 
                    803:   Revision 1.92  2003/06/25 16:30:45  brouard
                    804:   (Module): On windows (cygwin) function asctime_r doesn't
                    805:   exist so I changed back to asctime which exists.
                    806: 
                    807:   Revision 1.91  2003/06/25 15:30:29  brouard
                    808:   * imach.c (Repository): Duplicated warning errors corrected.
                    809:   (Repository): Elapsed time after each iteration is now output. It
                    810:   helps to forecast when convergence will be reached. Elapsed time
                    811:   is stamped in powell.  We created a new html file for the graphs
                    812:   concerning matrix of covariance. It has extension -cov.htm.
                    813: 
                    814:   Revision 1.90  2003/06/24 12:34:15  brouard
                    815:   (Module): Some bugs corrected for windows. Also, when
                    816:   mle=-1 a template is output in file "or"mypar.txt with the design
                    817:   of the covariance matrix to be input.
                    818: 
                    819:   Revision 1.89  2003/06/24 12:30:52  brouard
                    820:   (Module): Some bugs corrected for windows. Also, when
                    821:   mle=-1 a template is output in file "or"mypar.txt with the design
                    822:   of the covariance matrix to be input.
                    823: 
                    824:   Revision 1.88  2003/06/23 17:54:56  brouard
                    825:   * 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.
                    826: 
                    827:   Revision 1.87  2003/06/18 12:26:01  brouard
                    828:   Version 0.96
                    829: 
                    830:   Revision 1.86  2003/06/17 20:04:08  brouard
                    831:   (Module): Change position of html and gnuplot routines and added
                    832:   routine fileappend.
                    833: 
                    834:   Revision 1.85  2003/06/17 13:12:43  brouard
                    835:   * imach.c (Repository): Check when date of death was earlier that
                    836:   current date of interview. It may happen when the death was just
                    837:   prior to the death. In this case, dh was negative and likelihood
                    838:   was wrong (infinity). We still send an "Error" but patch by
                    839:   assuming that the date of death was just one stepm after the
                    840:   interview.
                    841:   (Repository): Because some people have very long ID (first column)
                    842:   we changed int to long in num[] and we added a new lvector for
                    843:   memory allocation. But we also truncated to 8 characters (left
                    844:   truncation)
                    845:   (Repository): No more line truncation errors.
                    846: 
                    847:   Revision 1.84  2003/06/13 21:44:43  brouard
                    848:   * imach.c (Repository): Replace "freqsummary" at a correct
                    849:   place. It differs from routine "prevalence" which may be called
                    850:   many times. Probs is memory consuming and must be used with
                    851:   parcimony.
                    852:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    853: 
                    854:   Revision 1.83  2003/06/10 13:39:11  lievre
                    855:   *** empty log message ***
                    856: 
                    857:   Revision 1.82  2003/06/05 15:57:20  brouard
                    858:   Add log in  imach.c and  fullversion number is now printed.
                    859: 
                    860: */
                    861: /*
                    862:    Interpolated Markov Chain
                    863: 
                    864:   Short summary of the programme:
                    865:   
1.227     brouard   866:   This program computes Healthy Life Expectancies or State-specific
                    867:   (if states aren't health statuses) Expectancies from
                    868:   cross-longitudinal data. Cross-longitudinal data consist in: 
                    869: 
                    870:   -1- a first survey ("cross") where individuals from different ages
                    871:   are interviewed on their health status or degree of disability (in
                    872:   the case of a health survey which is our main interest)
                    873: 
                    874:   -2- at least a second wave of interviews ("longitudinal") which
                    875:   measure each change (if any) in individual health status.  Health
                    876:   expectancies are computed from the time spent in each health state
                    877:   according to a model. More health states you consider, more time is
                    878:   necessary to reach the Maximum Likelihood of the parameters involved
                    879:   in the model.  The simplest model is the multinomial logistic model
                    880:   where pij is the probability to be observed in state j at the second
                    881:   wave conditional to be observed in state i at the first
                    882:   wave. Therefore the model is: log(pij/pii)= aij + bij*age+ cij*sex +
                    883:   etc , where 'age' is age and 'sex' is a covariate. If you want to
                    884:   have a more complex model than "constant and age", you should modify
                    885:   the program where the markup *Covariates have to be included here
                    886:   again* invites you to do it.  More covariates you add, slower the
1.126     brouard   887:   convergence.
                    888: 
                    889:   The advantage of this computer programme, compared to a simple
                    890:   multinomial logistic model, is clear when the delay between waves is not
                    891:   identical for each individual. Also, if a individual missed an
                    892:   intermediate interview, the information is lost, but taken into
                    893:   account using an interpolation or extrapolation.  
                    894: 
                    895:   hPijx is the probability to be observed in state i at age x+h
                    896:   conditional to the observed state i at age x. The delay 'h' can be
                    897:   split into an exact number (nh*stepm) of unobserved intermediate
                    898:   states. This elementary transition (by month, quarter,
                    899:   semester or year) is modelled as a multinomial logistic.  The hPx
                    900:   matrix is simply the matrix product of nh*stepm elementary matrices
                    901:   and the contribution of each individual to the likelihood is simply
                    902:   hPijx.
                    903: 
                    904:   Also this programme outputs the covariance matrix of the parameters but also
1.218     brouard   905:   of the life expectancies. It also computes the period (stable) prevalence.
                    906: 
                    907: Back prevalence and projections:
1.227     brouard   908: 
                    909:  - back_prevalence_limit(double *p, double **bprlim, double ageminpar,
                    910:    double agemaxpar, double ftolpl, int *ncvyearp, double
                    911:    dateprev1,double dateprev2, int firstpass, int lastpass, int
                    912:    mobilavproj)
                    913: 
                    914:     Computes the back prevalence limit for any combination of
                    915:     covariate values k at any age between ageminpar and agemaxpar and
                    916:     returns it in **bprlim. In the loops,
                    917: 
                    918:    - **bprevalim(**bprlim, ***mobaverage, nlstate, *p, age, **oldm,
                    919:        **savm, **dnewm, **doldm, **dsavm, ftolpl, ncvyearp, k);
                    920: 
                    921:    - hBijx Back Probability to be in state i at age x-h being in j at x
1.218     brouard   922:    Computes for any combination of covariates k and any age between bage and fage 
                    923:    p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                    924:                        oldm=oldms;savm=savms;
1.227     brouard   925: 
1.267     brouard   926:    - hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k, nres);
1.218     brouard   927:      Computes the transition matrix starting at age 'age' over
                    928:      'nhstepm*hstepm*stepm' months (i.e. until
                    929:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
1.227     brouard   930:      nhstepm*hstepm matrices. 
                    931: 
                    932:      Returns p3mat[i][j][h] after calling
                    933:      p3mat[i][j][h]=matprod2(newm,
                    934:      bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm,
                    935:      dsavm,ij),\ 1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,
                    936:      oldm);
1.226     brouard   937: 
                    938: Important routines
                    939: 
                    940: - func (or funcone), computes logit (pij) distinguishing
                    941:   o fixed variables (single or product dummies or quantitative);
                    942:   o varying variables by:
                    943:    (1) wave (single, product dummies, quantitative), 
                    944:    (2) by age (can be month) age (done), age*age (done), age*Vn where Vn can be:
                    945:        % fixed dummy (treated) or quantitative (not done because time-consuming);
                    946:        % varying dummy (not done) or quantitative (not done);
                    947: - Tricode which tests the modality of dummy variables (in order to warn with wrong or empty modalities)
                    948:   and returns the number of efficient covariates cptcoveff and modalities nbcode[Tvar[k]][1]= 0 and nbcode[Tvar[k]][2]= 1 usually.
                    949: - printinghtml which outputs results like life expectancy in and from a state for a combination of modalities of dummy variables
                    950:   o There are 2*cptcoveff combinations of (0,1) for cptcoveff variables. Outputting only combinations with people, éliminating 1 1 if
                    951:     race White (0 0), Black vs White (1 0), Hispanic (0 1) and 1 1 being meaningless.
1.218     brouard   952: 
1.226     brouard   953: 
                    954:   
1.133     brouard   955:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                    956:            Institut national d'études démographiques, Paris.
1.126     brouard   957:   This software have been partly granted by Euro-REVES, a concerted action
                    958:   from the European Union.
                    959:   It is copyrighted identically to a GNU software product, ie programme and
                    960:   software can be distributed freely for non commercial use. Latest version
                    961:   can be accessed at http://euroreves.ined.fr/imach .
                    962: 
                    963:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                    964:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                    965:   
                    966:   **********************************************************************/
                    967: /*
                    968:   main
                    969:   read parameterfile
                    970:   read datafile
                    971:   concatwav
                    972:   freqsummary
                    973:   if (mle >= 1)
                    974:     mlikeli
                    975:   print results files
                    976:   if mle==1 
                    977:      computes hessian
                    978:   read end of parameter file: agemin, agemax, bage, fage, estepm
                    979:       begin-prev-date,...
                    980:   open gnuplot file
                    981:   open html file
1.145     brouard   982:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                    983:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                    984:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                    985:     freexexit2 possible for memory heap.
                    986: 
                    987:   h Pij x                         | pij_nom  ficrestpij
                    988:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                    989:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                    990:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                    991: 
                    992:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                    993:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                    994:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                    995:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                    996:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                    997: 
1.126     brouard   998:   forecasting if prevfcast==1 prevforecast call prevalence()
                    999:   health expectancies
                   1000:   Variance-covariance of DFLE
                   1001:   prevalence()
                   1002:    movingaverage()
                   1003:   varevsij() 
                   1004:   if popbased==1 varevsij(,popbased)
                   1005:   total life expectancies
                   1006:   Variance of period (stable) prevalence
                   1007:  end
                   1008: */
                   1009: 
1.187     brouard  1010: /* #define DEBUG */
                   1011: /* #define DEBUGBRENT */
1.203     brouard  1012: /* #define DEBUGLINMIN */
                   1013: /* #define DEBUGHESS */
                   1014: #define DEBUGHESSIJ
1.224     brouard  1015: /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan) *\/ */
1.165     brouard  1016: #define POWELL /* Instead of NLOPT */
1.224     brouard  1017: #define POWELLNOF3INFF1TEST /* Skip test */
1.186     brouard  1018: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                   1019: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.126     brouard  1020: 
                   1021: #include <math.h>
                   1022: #include <stdio.h>
                   1023: #include <stdlib.h>
                   1024: #include <string.h>
1.226     brouard  1025: #include <ctype.h>
1.159     brouard  1026: 
                   1027: #ifdef _WIN32
                   1028: #include <io.h>
1.172     brouard  1029: #include <windows.h>
                   1030: #include <tchar.h>
1.159     brouard  1031: #else
1.126     brouard  1032: #include <unistd.h>
1.159     brouard  1033: #endif
1.126     brouard  1034: 
                   1035: #include <limits.h>
                   1036: #include <sys/types.h>
1.171     brouard  1037: 
                   1038: #if defined(__GNUC__)
                   1039: #include <sys/utsname.h> /* Doesn't work on Windows */
                   1040: #endif
                   1041: 
1.126     brouard  1042: #include <sys/stat.h>
                   1043: #include <errno.h>
1.159     brouard  1044: /* extern int errno; */
1.126     brouard  1045: 
1.157     brouard  1046: /* #ifdef LINUX */
                   1047: /* #include <time.h> */
                   1048: /* #include "timeval.h" */
                   1049: /* #else */
                   1050: /* #include <sys/time.h> */
                   1051: /* #endif */
                   1052: 
1.126     brouard  1053: #include <time.h>
                   1054: 
1.136     brouard  1055: #ifdef GSL
                   1056: #include <gsl/gsl_errno.h>
                   1057: #include <gsl/gsl_multimin.h>
                   1058: #endif
                   1059: 
1.167     brouard  1060: 
1.162     brouard  1061: #ifdef NLOPT
                   1062: #include <nlopt.h>
                   1063: typedef struct {
                   1064:   double (* function)(double [] );
                   1065: } myfunc_data ;
                   1066: #endif
                   1067: 
1.126     brouard  1068: /* #include <libintl.h> */
                   1069: /* #define _(String) gettext (String) */
                   1070: 
1.251     brouard  1071: #define MAXLINE 2048 /* Was 256 and 1024. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard  1072: 
                   1073: #define GNUPLOTPROGRAM "gnuplot"
                   1074: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                   1075: #define FILENAMELENGTH 132
                   1076: 
                   1077: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                   1078: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                   1079: 
1.144     brouard  1080: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                   1081: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard  1082: 
                   1083: #define NINTERVMAX 8
1.144     brouard  1084: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                   1085: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
1.291     brouard  1086: #define NCOVMAX 20  /**< Maximum number of covariates, including generated covariates V1*V2 */
1.197     brouard  1087: #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.211     brouard  1088: /*#define decodtabm(h,k,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (k-1)) & 1) +1 : -1)*/
                   1089: #define decodtabm(h,k,cptcoveff) (((h-1) >> (k-1)) & 1) +1 
1.290     brouard  1090: /*#define MAXN 20000 */ /* Should by replaced by nobs, real number of observations and unlimited */
1.144     brouard  1091: #define YEARM 12. /**< Number of months per year */
1.218     brouard  1092: /* #define AGESUP 130 */
1.288     brouard  1093: /* #define AGESUP 150 */
                   1094: #define AGESUP 200
1.268     brouard  1095: #define AGEINF 0
1.218     brouard  1096: #define AGEMARGE 25 /* Marge for agemin and agemax for(iage=agemin-AGEMARGE; iage <= agemax+3+AGEMARGE; iage++) */
1.126     brouard  1097: #define AGEBASE 40
1.194     brouard  1098: #define AGEOVERFLOW 1.e20
1.164     brouard  1099: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard  1100: #ifdef _WIN32
                   1101: #define DIRSEPARATOR '\\'
                   1102: #define CHARSEPARATOR "\\"
                   1103: #define ODIRSEPARATOR '/'
                   1104: #else
1.126     brouard  1105: #define DIRSEPARATOR '/'
                   1106: #define CHARSEPARATOR "/"
                   1107: #define ODIRSEPARATOR '\\'
                   1108: #endif
                   1109: 
1.297   ! brouard  1110: /* $Id: imach.c,v 1.296 2019/05/20 13:03:18 brouard Exp $ */
1.126     brouard  1111: /* $State: Exp $ */
1.196     brouard  1112: #include "version.h"
                   1113: char version[]=__IMACH_VERSION__;
1.283     brouard  1114: char copyright[]="April 2018,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015-2018";
1.297   ! brouard  1115: char fullversion[]="$Revision: 1.296 $ $Date: 2019/05/20 13:03:18 $"; 
1.126     brouard  1116: char strstart[80];
                   1117: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard  1118: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard  1119: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard  1120: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                   1121: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                   1122: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
1.225     brouard  1123: int cptcovs=0; /**< cptcovs number of simple covariates in the model V2+V1 =2 */
                   1124: int cptcovsnq=0; /**< cptcovsnq number of simple covariates in the model but non quantitative V2+V1 =2 */
1.145     brouard  1125: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                   1126: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                   1127: int cptcoveff=0; /* Total number of covariates to vary for printing results */
1.233     brouard  1128: int ncovf=0; /* Total number of effective fixed covariates (dummy or quantitative) in the model */
                   1129: int ncovv=0; /* Total number of effective (wave) varying covariates (dummy or quantitative) in the model */
1.232     brouard  1130: int ncova=0; /* Total number of effective (wave and stepm) varying with age covariates (dummy of quantitative) in the model */
1.234     brouard  1131: int nsd=0; /**< Total number of single dummy variables (output) */
                   1132: int nsq=0; /**< Total number of single quantitative variables (output) */
1.232     brouard  1133: int ncoveff=0; /* Total number of effective fixed dummy covariates in the model */
1.225     brouard  1134: int nqfveff=0; /**< nqfveff Number of Quantitative Fixed Variables Effective */
1.224     brouard  1135: int ntveff=0; /**< ntveff number of effective time varying variables */
                   1136: int nqtveff=0; /**< ntqveff number of effective time varying quantitative variables */
1.145     brouard  1137: int cptcov=0; /* Working variable */
1.290     brouard  1138: int nobs=10;  /* Number of observations in the data lastobs-firstobs */
1.218     brouard  1139: int ncovcombmax=NCOVMAX; /* Maximum calculated number of covariate combination = pow(2, cptcoveff) */
1.126     brouard  1140: int npar=NPARMAX;
                   1141: int nlstate=2; /* Number of live states */
                   1142: int ndeath=1; /* Number of dead states */
1.130     brouard  1143: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.223     brouard  1144: int  nqv=0, ntv=0, nqtv=0;    /* Total number of quantitative variables, time variable (dummy), quantitative and time variable */ 
1.126     brouard  1145: int popbased=0;
                   1146: 
                   1147: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard  1148: int maxwav=0; /* Maxim number of waves */
                   1149: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                   1150: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                   1151: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard  1152:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard  1153: int mle=1, weightopt=0;
1.126     brouard  1154: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                   1155: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                   1156: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                   1157:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard  1158: int countcallfunc=0;  /* Count the number of calls to func */
1.230     brouard  1159: int selected(int kvar); /* Is covariate kvar selected for printing results */
                   1160: 
1.130     brouard  1161: double jmean=1; /* Mean space between 2 waves */
1.145     brouard  1162: double **matprod2(); /* test */
1.126     brouard  1163: double **oldm, **newm, **savm; /* Working pointers to matrices */
                   1164: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.218     brouard  1165: double  **ddnewms, **ddoldms, **ddsavms; /* for freeing later */
                   1166: 
1.136     brouard  1167: /*FILE *fic ; */ /* Used in readdata only */
1.217     brouard  1168: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficresphtm, *ficresphtmfr, *ficrespl, *ficresplb,*ficrespij, *ficrespijb, *ficrest,*ficresf, *ficresfb,*ficrespop;
1.126     brouard  1169: FILE *ficlog, *ficrespow;
1.130     brouard  1170: int globpr=0; /* Global variable for printing or not */
1.126     brouard  1171: double fretone; /* Only one call to likelihood */
1.130     brouard  1172: long ipmx=0; /* Number of contributions */
1.126     brouard  1173: double sw; /* Sum of weights */
                   1174: char filerespow[FILENAMELENGTH];
                   1175: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                   1176: FILE *ficresilk;
                   1177: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                   1178: FILE *ficresprobmorprev;
                   1179: FILE *fichtm, *fichtmcov; /* Html File */
                   1180: FILE *ficreseij;
                   1181: char filerese[FILENAMELENGTH];
                   1182: FILE *ficresstdeij;
                   1183: char fileresstde[FILENAMELENGTH];
                   1184: FILE *ficrescveij;
                   1185: char filerescve[FILENAMELENGTH];
                   1186: FILE  *ficresvij;
                   1187: char fileresv[FILENAMELENGTH];
1.269     brouard  1188: 
1.126     brouard  1189: char title[MAXLINE];
1.234     brouard  1190: char model[MAXLINE]; /**< The model line */
1.217     brouard  1191: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH],  fileresplb[FILENAMELENGTH];
1.126     brouard  1192: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                   1193: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                   1194: char command[FILENAMELENGTH];
                   1195: int  outcmd=0;
                   1196: 
1.217     brouard  1197: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filerespijb[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
1.202     brouard  1198: char fileresu[FILENAMELENGTH]; /* fileres without r in front */
1.126     brouard  1199: char filelog[FILENAMELENGTH]; /* Log file */
                   1200: char filerest[FILENAMELENGTH];
                   1201: char fileregp[FILENAMELENGTH];
                   1202: char popfile[FILENAMELENGTH];
                   1203: 
                   1204: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                   1205: 
1.157     brouard  1206: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                   1207: /* struct timezone tzp; */
                   1208: /* extern int gettimeofday(); */
                   1209: struct tm tml, *gmtime(), *localtime();
                   1210: 
                   1211: extern time_t time();
                   1212: 
                   1213: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                   1214: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                   1215: struct tm tm;
                   1216: 
1.126     brouard  1217: char strcurr[80], strfor[80];
                   1218: 
                   1219: char *endptr;
                   1220: long lval;
                   1221: double dval;
                   1222: 
                   1223: #define NR_END 1
                   1224: #define FREE_ARG char*
                   1225: #define FTOL 1.0e-10
                   1226: 
                   1227: #define NRANSI 
1.240     brouard  1228: #define ITMAX 200
                   1229: #define ITPOWMAX 20 /* This is now multiplied by the number of parameters */ 
1.126     brouard  1230: 
                   1231: #define TOL 2.0e-4 
                   1232: 
                   1233: #define CGOLD 0.3819660 
                   1234: #define ZEPS 1.0e-10 
                   1235: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                   1236: 
                   1237: #define GOLD 1.618034 
                   1238: #define GLIMIT 100.0 
                   1239: #define TINY 1.0e-20 
                   1240: 
                   1241: static double maxarg1,maxarg2;
                   1242: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                   1243: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                   1244:   
                   1245: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                   1246: #define rint(a) floor(a+0.5)
1.166     brouard  1247: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard  1248: #define mytinydouble 1.0e-16
1.166     brouard  1249: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                   1250: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                   1251: /* static double dsqrarg; */
                   1252: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard  1253: static double sqrarg;
                   1254: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                   1255: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                   1256: int agegomp= AGEGOMP;
                   1257: 
                   1258: int imx; 
                   1259: int stepm=1;
                   1260: /* Stepm, step in month: minimum step interpolation*/
                   1261: 
                   1262: int estepm;
                   1263: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                   1264: 
                   1265: int m,nb;
                   1266: long *num;
1.197     brouard  1267: int firstpass=0, lastpass=4,*cod, *cens;
1.192     brouard  1268: int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                   1269:                   covariate for which somebody answered excluding 
                   1270:                   undefined. Usually 2: 0 and 1. */
                   1271: int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                   1272:                             covariate for which somebody answered including 
                   1273:                             undefined. Usually 3: -1, 0 and 1. */
1.126     brouard  1274: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
1.218     brouard  1275: double **pmmij, ***probs; /* Global pointer */
1.219     brouard  1276: double ***mobaverage, ***mobaverages; /* New global variable */
1.126     brouard  1277: double *ageexmed,*agecens;
                   1278: double dateintmean=0;
1.296     brouard  1279:   double anprojd, mprojd, jprojd; /* For eventual projections */
                   1280:   double anprojf, mprojf, jprojf;
1.126     brouard  1281: 
1.296     brouard  1282:   double anbackd, mbackd, jbackd; /* For eventual backprojections */
                   1283:   double anbackf, mbackf, jbackf;
                   1284:   double jintmean,mintmean,aintmean;  
1.126     brouard  1285: double *weight;
                   1286: int **s; /* Status */
1.141     brouard  1287: double *agedc;
1.145     brouard  1288: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard  1289:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard  1290:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.268     brouard  1291: double **coqvar; /* Fixed quantitative covariate nqv */
                   1292: double ***cotvar; /* Time varying covariate ntv */
1.225     brouard  1293: double ***cotqvar; /* Time varying quantitative covariate itqv */
1.141     brouard  1294: double  idx; 
                   1295: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.234     brouard  1296: /*           V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1297: /*k          1  2   3   4     5    6    7     8    9 */
                   1298: /*Tvar[k]=   5  4   3   6     5    2    7     1    1 */
                   1299: /* Tndvar[k]    1   2   3               4          5 */
                   1300: /*TDvar         4   3   6               7          1 */ /* For outputs only; combination of dummies fixed or varying */
                   1301: /* Tns[k]    1  2   2              4               5 */ /* Number of single cova */
                   1302: /* TvarsD[k]    1   2                              3 */ /* Number of single dummy cova */
                   1303: /* TvarsDind    2   3                              9 */ /* position K of single dummy cova */
                   1304: /* TvarsQ[k] 1                     2                 */ /* Number of single quantitative cova */
                   1305: /* TvarsQind 1                     6                 */ /* position K of single quantitative cova */
                   1306: /* Tprod[i]=k           4               7            */
                   1307: /* Tage[i]=k                  5               8      */
                   1308: /* */
                   1309: /* Type                    */
                   1310: /* V         1  2  3  4  5 */
                   1311: /*           F  F  V  V  V */
                   1312: /*           D  Q  D  D  Q */
                   1313: /*                         */
                   1314: int *TvarsD;
                   1315: int *TvarsDind;
                   1316: int *TvarsQ;
                   1317: int *TvarsQind;
                   1318: 
1.235     brouard  1319: #define MAXRESULTLINES 10
                   1320: int nresult=0;
1.258     brouard  1321: int parameterline=0; /* # of the parameter (type) line */
1.235     brouard  1322: int TKresult[MAXRESULTLINES];
1.237     brouard  1323: int Tresult[MAXRESULTLINES][NCOVMAX];/* For dummy variable , value (output) */
                   1324: int Tinvresult[MAXRESULTLINES][NCOVMAX];/* For dummy variable , value (output) */
1.235     brouard  1325: int Tvresult[MAXRESULTLINES][NCOVMAX]; /* For dummy variable , variable # (output) */
                   1326: double Tqresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , value (output) */
1.237     brouard  1327: double Tqinvresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , value (output) */
1.235     brouard  1328: int Tvqresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , variable # (output) */
                   1329: 
1.234     brouard  1330: /* 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  1331: 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 */
                   1332: 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 */
                   1333: 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 */
                   1334: int *TvarVind; /**< TvarVind[1]=1, TvarVind[2]=2  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1335: 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 */
                   1336: 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  1337: int *TvarFD; /**< TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1338: int *TvarFDind; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1339: int *TvarFQ; /* TvarFQ[1]=V2 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1340: int *TvarFQind; /* TvarFQind[1]=6 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1341: int *TvarVD; /* TvarVD[1]=V5 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1342: int *TvarVDind; /* TvarVDind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1343: 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 */
                   1344: 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 */
                   1345: 
1.230     brouard  1346: int *Tvarsel; /**< Selected covariates for output */
                   1347: double *Tvalsel; /**< Selected modality value of covariate for output */
1.226     brouard  1348: int *Typevar; /**< 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product */
1.227     brouard  1349: int *Fixed; /** Fixed[k] 0=fixed, 1 varying, 2 fixed with age product, 3 varying with age product */ 
                   1350: 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  1351: int *DummyV; /** Dummy[v] 0=dummy (0 1), 1 quantitative */
                   1352: int *FixedV; /** FixedV[v] 0 fixed, 1 varying */
1.197     brouard  1353: int *Tage;
1.227     brouard  1354: int anyvaryingduminmodel=0; /**< Any varying dummy in Model=1 yes, 0 no, to avoid a loop on waves in freq */ 
1.228     brouard  1355: 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  1356: 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*/ 
                   1357: 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  1358: int *Ndum; /** Freq of modality (tricode */
1.200     brouard  1359: /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
1.227     brouard  1360: int **Tvard;
                   1361: int *Tprod;/**< Gives the k position of the k1 product */
1.238     brouard  1362: /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3  */
1.227     brouard  1363: int *Tposprod; /**< Gives the k1 product from the k position */
1.238     brouard  1364:    /* if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2) */
                   1365:    /* Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5(V3*V2)]=2 (2nd product without age) */
1.227     brouard  1366: int cptcovprod, *Tvaraff, *invalidvarcomb;
1.126     brouard  1367: double *lsurv, *lpop, *tpop;
                   1368: 
1.231     brouard  1369: #define FD 1; /* Fixed dummy covariate */
                   1370: #define FQ 2; /* Fixed quantitative covariate */
                   1371: #define FP 3; /* Fixed product covariate */
                   1372: #define FPDD 7; /* Fixed product dummy*dummy covariate */
                   1373: #define FPDQ 8; /* Fixed product dummy*quantitative covariate */
                   1374: #define FPQQ 9; /* Fixed product quantitative*quantitative covariate */
                   1375: #define VD 10; /* Varying dummy covariate */
                   1376: #define VQ 11; /* Varying quantitative covariate */
                   1377: #define VP 12; /* Varying product covariate */
                   1378: #define VPDD 13; /* Varying product dummy*dummy covariate */
                   1379: #define VPDQ 14; /* Varying product dummy*quantitative covariate */
                   1380: #define VPQQ 15; /* Varying product quantitative*quantitative covariate */
                   1381: #define APFD 16; /* Age product * fixed dummy covariate */
                   1382: #define APFQ 17; /* Age product * fixed quantitative covariate */
                   1383: #define APVD 18; /* Age product * varying dummy covariate */
                   1384: #define APVQ 19; /* Age product * varying quantitative covariate */
                   1385: 
                   1386: #define FTYPE 1; /* Fixed covariate */
                   1387: #define VTYPE 2; /* Varying covariate (loop in wave) */
                   1388: #define ATYPE 2; /* Age product covariate (loop in dh within wave)*/
                   1389: 
                   1390: struct kmodel{
                   1391:        int maintype; /* main type */
                   1392:        int subtype; /* subtype */
                   1393: };
                   1394: struct kmodel modell[NCOVMAX];
                   1395: 
1.143     brouard  1396: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                   1397: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard  1398: 
                   1399: /**************** split *************************/
                   1400: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                   1401: {
                   1402:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                   1403:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                   1404:   */ 
                   1405:   char *ss;                            /* pointer */
1.186     brouard  1406:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard  1407: 
                   1408:   l1 = strlen(path );                  /* length of path */
                   1409:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1410:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                   1411:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                   1412:     strcpy( name, path );              /* we got the fullname name because no directory */
                   1413:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                   1414:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                   1415:     /* get current working directory */
                   1416:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard  1417: #ifdef WIN32
                   1418:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                   1419: #else
                   1420:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                   1421: #endif
1.126     brouard  1422:       return( GLOCK_ERROR_GETCWD );
                   1423:     }
                   1424:     /* got dirc from getcwd*/
                   1425:     printf(" DIRC = %s \n",dirc);
1.205     brouard  1426:   } else {                             /* strip directory from path */
1.126     brouard  1427:     ss++;                              /* after this, the filename */
                   1428:     l2 = strlen( ss );                 /* length of filename */
                   1429:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1430:     strcpy( name, ss );                /* save file name */
                   1431:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard  1432:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard  1433:     printf(" DIRC2 = %s \n",dirc);
                   1434:   }
                   1435:   /* We add a separator at the end of dirc if not exists */
                   1436:   l1 = strlen( dirc );                 /* length of directory */
                   1437:   if( dirc[l1-1] != DIRSEPARATOR ){
                   1438:     dirc[l1] =  DIRSEPARATOR;
                   1439:     dirc[l1+1] = 0; 
                   1440:     printf(" DIRC3 = %s \n",dirc);
                   1441:   }
                   1442:   ss = strrchr( name, '.' );           /* find last / */
                   1443:   if (ss >0){
                   1444:     ss++;
                   1445:     strcpy(ext,ss);                    /* save extension */
                   1446:     l1= strlen( name);
                   1447:     l2= strlen(ss)+1;
                   1448:     strncpy( finame, name, l1-l2);
                   1449:     finame[l1-l2]= 0;
                   1450:   }
                   1451: 
                   1452:   return( 0 );                         /* we're done */
                   1453: }
                   1454: 
                   1455: 
                   1456: /******************************************/
                   1457: 
                   1458: void replace_back_to_slash(char *s, char*t)
                   1459: {
                   1460:   int i;
                   1461:   int lg=0;
                   1462:   i=0;
                   1463:   lg=strlen(t);
                   1464:   for(i=0; i<= lg; i++) {
                   1465:     (s[i] = t[i]);
                   1466:     if (t[i]== '\\') s[i]='/';
                   1467:   }
                   1468: }
                   1469: 
1.132     brouard  1470: char *trimbb(char *out, char *in)
1.137     brouard  1471: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard  1472:   char *s;
                   1473:   s=out;
                   1474:   while (*in != '\0'){
1.137     brouard  1475:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard  1476:       in++;
                   1477:     }
                   1478:     *out++ = *in++;
                   1479:   }
                   1480:   *out='\0';
                   1481:   return s;
                   1482: }
                   1483: 
1.187     brouard  1484: /* char *substrchaine(char *out, char *in, char *chain) */
                   1485: /* { */
                   1486: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                   1487: /*   char *s, *t; */
                   1488: /*   t=in;s=out; */
                   1489: /*   while ((*in != *chain) && (*in != '\0')){ */
                   1490: /*     *out++ = *in++; */
                   1491: /*   } */
                   1492: 
                   1493: /*   /\* *in matches *chain *\/ */
                   1494: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                   1495: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1496: /*   } */
                   1497: /*   in--; chain--; */
                   1498: /*   while ( (*in != '\0')){ */
                   1499: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1500: /*     *out++ = *in++; */
                   1501: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1502: /*   } */
                   1503: /*   *out='\0'; */
                   1504: /*   out=s; */
                   1505: /*   return out; */
                   1506: /* } */
                   1507: char *substrchaine(char *out, char *in, char *chain)
                   1508: {
                   1509:   /* Substract chain 'chain' from 'in', return and output 'out' */
                   1510:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                   1511: 
                   1512:   char *strloc;
                   1513: 
                   1514:   strcpy (out, in); 
                   1515:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                   1516:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                   1517:   if(strloc != NULL){ 
                   1518:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                   1519:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                   1520:     /* strcpy (strloc, strloc +strlen(chain));*/
                   1521:   }
                   1522:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                   1523:   return out;
                   1524: }
                   1525: 
                   1526: 
1.145     brouard  1527: char *cutl(char *blocc, char *alocc, char *in, char occ)
                   1528: {
1.187     brouard  1529:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard  1530:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.187     brouard  1531:      gives blocc="abcdef" and alocc="ghi2j".
1.145     brouard  1532:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                   1533:   */
1.160     brouard  1534:   char *s, *t;
1.145     brouard  1535:   t=in;s=in;
                   1536:   while ((*in != occ) && (*in != '\0')){
                   1537:     *alocc++ = *in++;
                   1538:   }
                   1539:   if( *in == occ){
                   1540:     *(alocc)='\0';
                   1541:     s=++in;
                   1542:   }
                   1543:  
                   1544:   if (s == t) {/* occ not found */
                   1545:     *(alocc-(in-s))='\0';
                   1546:     in=s;
                   1547:   }
                   1548:   while ( *in != '\0'){
                   1549:     *blocc++ = *in++;
                   1550:   }
                   1551: 
                   1552:   *blocc='\0';
                   1553:   return t;
                   1554: }
1.137     brouard  1555: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1556: {
1.187     brouard  1557:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1558:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1559:      gives blocc="abcdef2ghi" and alocc="j".
                   1560:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1561:   */
                   1562:   char *s, *t;
                   1563:   t=in;s=in;
                   1564:   while (*in != '\0'){
                   1565:     while( *in == occ){
                   1566:       *blocc++ = *in++;
                   1567:       s=in;
                   1568:     }
                   1569:     *blocc++ = *in++;
                   1570:   }
                   1571:   if (s == t) /* occ not found */
                   1572:     *(blocc-(in-s))='\0';
                   1573:   else
                   1574:     *(blocc-(in-s)-1)='\0';
                   1575:   in=s;
                   1576:   while ( *in != '\0'){
                   1577:     *alocc++ = *in++;
                   1578:   }
                   1579: 
                   1580:   *alocc='\0';
                   1581:   return s;
                   1582: }
                   1583: 
1.126     brouard  1584: int nbocc(char *s, char occ)
                   1585: {
                   1586:   int i,j=0;
                   1587:   int lg=20;
                   1588:   i=0;
                   1589:   lg=strlen(s);
                   1590:   for(i=0; i<= lg; i++) {
1.234     brouard  1591:     if  (s[i] == occ ) j++;
1.126     brouard  1592:   }
                   1593:   return j;
                   1594: }
                   1595: 
1.137     brouard  1596: /* void cutv(char *u,char *v, char*t, char occ) */
                   1597: /* { */
                   1598: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1599: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1600: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1601: /*   int i,lg,j,p=0; */
                   1602: /*   i=0; */
                   1603: /*   lg=strlen(t); */
                   1604: /*   for(j=0; j<=lg-1; j++) { */
                   1605: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1606: /*   } */
1.126     brouard  1607: 
1.137     brouard  1608: /*   for(j=0; j<p; j++) { */
                   1609: /*     (u[j] = t[j]); */
                   1610: /*   } */
                   1611: /*      u[p]='\0'; */
1.126     brouard  1612: 
1.137     brouard  1613: /*    for(j=0; j<= lg; j++) { */
                   1614: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1615: /*   } */
                   1616: /* } */
1.126     brouard  1617: 
1.160     brouard  1618: #ifdef _WIN32
                   1619: char * strsep(char **pp, const char *delim)
                   1620: {
                   1621:   char *p, *q;
                   1622:          
                   1623:   if ((p = *pp) == NULL)
                   1624:     return 0;
                   1625:   if ((q = strpbrk (p, delim)) != NULL)
                   1626:   {
                   1627:     *pp = q + 1;
                   1628:     *q = '\0';
                   1629:   }
                   1630:   else
                   1631:     *pp = 0;
                   1632:   return p;
                   1633: }
                   1634: #endif
                   1635: 
1.126     brouard  1636: /********************** nrerror ********************/
                   1637: 
                   1638: void nrerror(char error_text[])
                   1639: {
                   1640:   fprintf(stderr,"ERREUR ...\n");
                   1641:   fprintf(stderr,"%s\n",error_text);
                   1642:   exit(EXIT_FAILURE);
                   1643: }
                   1644: /*********************** vector *******************/
                   1645: double *vector(int nl, int nh)
                   1646: {
                   1647:   double *v;
                   1648:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1649:   if (!v) nrerror("allocation failure in vector");
                   1650:   return v-nl+NR_END;
                   1651: }
                   1652: 
                   1653: /************************ free vector ******************/
                   1654: void free_vector(double*v, int nl, int nh)
                   1655: {
                   1656:   free((FREE_ARG)(v+nl-NR_END));
                   1657: }
                   1658: 
                   1659: /************************ivector *******************************/
                   1660: int *ivector(long nl,long nh)
                   1661: {
                   1662:   int *v;
                   1663:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1664:   if (!v) nrerror("allocation failure in ivector");
                   1665:   return v-nl+NR_END;
                   1666: }
                   1667: 
                   1668: /******************free ivector **************************/
                   1669: void free_ivector(int *v, long nl, long nh)
                   1670: {
                   1671:   free((FREE_ARG)(v+nl-NR_END));
                   1672: }
                   1673: 
                   1674: /************************lvector *******************************/
                   1675: long *lvector(long nl,long nh)
                   1676: {
                   1677:   long *v;
                   1678:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1679:   if (!v) nrerror("allocation failure in ivector");
                   1680:   return v-nl+NR_END;
                   1681: }
                   1682: 
                   1683: /******************free lvector **************************/
                   1684: void free_lvector(long *v, long nl, long nh)
                   1685: {
                   1686:   free((FREE_ARG)(v+nl-NR_END));
                   1687: }
                   1688: 
                   1689: /******************* imatrix *******************************/
                   1690: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1691:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1692: { 
                   1693:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1694:   int **m; 
                   1695:   
                   1696:   /* allocate pointers to rows */ 
                   1697:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1698:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1699:   m += NR_END; 
                   1700:   m -= nrl; 
                   1701:   
                   1702:   
                   1703:   /* allocate rows and set pointers to them */ 
                   1704:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1705:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1706:   m[nrl] += NR_END; 
                   1707:   m[nrl] -= ncl; 
                   1708:   
                   1709:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1710:   
                   1711:   /* return pointer to array of pointers to rows */ 
                   1712:   return m; 
                   1713: } 
                   1714: 
                   1715: /****************** free_imatrix *************************/
                   1716: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1717:       int **m;
                   1718:       long nch,ncl,nrh,nrl; 
                   1719:      /* free an int matrix allocated by imatrix() */ 
                   1720: { 
                   1721:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1722:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1723: } 
                   1724: 
                   1725: /******************* matrix *******************************/
                   1726: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1727: {
                   1728:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1729:   double **m;
                   1730: 
                   1731:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1732:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1733:   m += NR_END;
                   1734:   m -= nrl;
                   1735: 
                   1736:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1737:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1738:   m[nrl] += NR_END;
                   1739:   m[nrl] -= ncl;
                   1740: 
                   1741:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1742:   return m;
1.145     brouard  1743:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1744: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1745: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1746:    */
                   1747: }
                   1748: 
                   1749: /*************************free matrix ************************/
                   1750: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1751: {
                   1752:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1753:   free((FREE_ARG)(m+nrl-NR_END));
                   1754: }
                   1755: 
                   1756: /******************* ma3x *******************************/
                   1757: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1758: {
                   1759:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1760:   double ***m;
                   1761: 
                   1762:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1763:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1764:   m += NR_END;
                   1765:   m -= nrl;
                   1766: 
                   1767:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1768:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1769:   m[nrl] += NR_END;
                   1770:   m[nrl] -= ncl;
                   1771: 
                   1772:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1773: 
                   1774:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1775:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1776:   m[nrl][ncl] += NR_END;
                   1777:   m[nrl][ncl] -= nll;
                   1778:   for (j=ncl+1; j<=nch; j++) 
                   1779:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1780:   
                   1781:   for (i=nrl+1; i<=nrh; i++) {
                   1782:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1783:     for (j=ncl+1; j<=nch; j++) 
                   1784:       m[i][j]=m[i][j-1]+nlay;
                   1785:   }
                   1786:   return m; 
                   1787:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1788:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1789:   */
                   1790: }
                   1791: 
                   1792: /*************************free ma3x ************************/
                   1793: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1794: {
                   1795:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1796:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1797:   free((FREE_ARG)(m+nrl-NR_END));
                   1798: }
                   1799: 
                   1800: /*************** function subdirf ***********/
                   1801: char *subdirf(char fileres[])
                   1802: {
                   1803:   /* Caution optionfilefiname is hidden */
                   1804:   strcpy(tmpout,optionfilefiname);
                   1805:   strcat(tmpout,"/"); /* Add to the right */
                   1806:   strcat(tmpout,fileres);
                   1807:   return tmpout;
                   1808: }
                   1809: 
                   1810: /*************** function subdirf2 ***********/
                   1811: char *subdirf2(char fileres[], char *preop)
                   1812: {
                   1813:   
                   1814:   /* Caution optionfilefiname is hidden */
                   1815:   strcpy(tmpout,optionfilefiname);
                   1816:   strcat(tmpout,"/");
                   1817:   strcat(tmpout,preop);
                   1818:   strcat(tmpout,fileres);
                   1819:   return tmpout;
                   1820: }
                   1821: 
                   1822: /*************** function subdirf3 ***********/
                   1823: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1824: {
                   1825:   
                   1826:   /* Caution optionfilefiname is hidden */
                   1827:   strcpy(tmpout,optionfilefiname);
                   1828:   strcat(tmpout,"/");
                   1829:   strcat(tmpout,preop);
                   1830:   strcat(tmpout,preop2);
                   1831:   strcat(tmpout,fileres);
                   1832:   return tmpout;
                   1833: }
1.213     brouard  1834:  
                   1835: /*************** function subdirfext ***********/
                   1836: char *subdirfext(char fileres[], char *preop, char *postop)
                   1837: {
                   1838:   
                   1839:   strcpy(tmpout,preop);
                   1840:   strcat(tmpout,fileres);
                   1841:   strcat(tmpout,postop);
                   1842:   return tmpout;
                   1843: }
1.126     brouard  1844: 
1.213     brouard  1845: /*************** function subdirfext3 ***********/
                   1846: char *subdirfext3(char fileres[], char *preop, char *postop)
                   1847: {
                   1848:   
                   1849:   /* Caution optionfilefiname is hidden */
                   1850:   strcpy(tmpout,optionfilefiname);
                   1851:   strcat(tmpout,"/");
                   1852:   strcat(tmpout,preop);
                   1853:   strcat(tmpout,fileres);
                   1854:   strcat(tmpout,postop);
                   1855:   return tmpout;
                   1856: }
                   1857:  
1.162     brouard  1858: char *asc_diff_time(long time_sec, char ascdiff[])
                   1859: {
                   1860:   long sec_left, days, hours, minutes;
                   1861:   days = (time_sec) / (60*60*24);
                   1862:   sec_left = (time_sec) % (60*60*24);
                   1863:   hours = (sec_left) / (60*60) ;
                   1864:   sec_left = (sec_left) %(60*60);
                   1865:   minutes = (sec_left) /60;
                   1866:   sec_left = (sec_left) % (60);
                   1867:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1868:   return ascdiff;
                   1869: }
                   1870: 
1.126     brouard  1871: /***************** f1dim *************************/
                   1872: extern int ncom; 
                   1873: extern double *pcom,*xicom;
                   1874: extern double (*nrfunc)(double []); 
                   1875:  
                   1876: double f1dim(double x) 
                   1877: { 
                   1878:   int j; 
                   1879:   double f;
                   1880:   double *xt; 
                   1881:  
                   1882:   xt=vector(1,ncom); 
                   1883:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   1884:   f=(*nrfunc)(xt); 
                   1885:   free_vector(xt,1,ncom); 
                   1886:   return f; 
                   1887: } 
                   1888: 
                   1889: /*****************brent *************************/
                   1890: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  1891: {
                   1892:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   1893:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   1894:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   1895:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   1896:    * returned function value. 
                   1897:   */
1.126     brouard  1898:   int iter; 
                   1899:   double a,b,d,etemp;
1.159     brouard  1900:   double fu=0,fv,fw,fx;
1.164     brouard  1901:   double ftemp=0.;
1.126     brouard  1902:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   1903:   double e=0.0; 
                   1904:  
                   1905:   a=(ax < cx ? ax : cx); 
                   1906:   b=(ax > cx ? ax : cx); 
                   1907:   x=w=v=bx; 
                   1908:   fw=fv=fx=(*f)(x); 
                   1909:   for (iter=1;iter<=ITMAX;iter++) { 
                   1910:     xm=0.5*(a+b); 
                   1911:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   1912:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   1913:     printf(".");fflush(stdout);
                   1914:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  1915: #ifdef DEBUGBRENT
1.126     brouard  1916:     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);
                   1917:     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);
                   1918:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   1919: #endif
                   1920:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   1921:       *xmin=x; 
                   1922:       return fx; 
                   1923:     } 
                   1924:     ftemp=fu;
                   1925:     if (fabs(e) > tol1) { 
                   1926:       r=(x-w)*(fx-fv); 
                   1927:       q=(x-v)*(fx-fw); 
                   1928:       p=(x-v)*q-(x-w)*r; 
                   1929:       q=2.0*(q-r); 
                   1930:       if (q > 0.0) p = -p; 
                   1931:       q=fabs(q); 
                   1932:       etemp=e; 
                   1933:       e=d; 
                   1934:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
1.224     brouard  1935:                                d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
1.126     brouard  1936:       else { 
1.224     brouard  1937:                                d=p/q; 
                   1938:                                u=x+d; 
                   1939:                                if (u-a < tol2 || b-u < tol2) 
                   1940:                                        d=SIGN(tol1,xm-x); 
1.126     brouard  1941:       } 
                   1942:     } else { 
                   1943:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1944:     } 
                   1945:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   1946:     fu=(*f)(u); 
                   1947:     if (fu <= fx) { 
                   1948:       if (u >= x) a=x; else b=x; 
                   1949:       SHFT(v,w,x,u) 
1.183     brouard  1950:       SHFT(fv,fw,fx,fu) 
                   1951:     } else { 
                   1952:       if (u < x) a=u; else b=u; 
                   1953:       if (fu <= fw || w == x) { 
1.224     brouard  1954:                                v=w; 
                   1955:                                w=u; 
                   1956:                                fv=fw; 
                   1957:                                fw=fu; 
1.183     brouard  1958:       } else if (fu <= fv || v == x || v == w) { 
1.224     brouard  1959:                                v=u; 
                   1960:                                fv=fu; 
1.183     brouard  1961:       } 
                   1962:     } 
1.126     brouard  1963:   } 
                   1964:   nrerror("Too many iterations in brent"); 
                   1965:   *xmin=x; 
                   1966:   return fx; 
                   1967: } 
                   1968: 
                   1969: /****************** mnbrak ***********************/
                   1970: 
                   1971: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   1972:            double (*func)(double)) 
1.183     brouard  1973: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   1974: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   1975: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   1976: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   1977:    */
1.126     brouard  1978:   double ulim,u,r,q, dum;
                   1979:   double fu; 
1.187     brouard  1980: 
                   1981:   double scale=10.;
                   1982:   int iterscale=0;
                   1983: 
                   1984:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   1985:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   1986: 
                   1987: 
                   1988:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   1989:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   1990:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   1991:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   1992:   /* } */
                   1993: 
1.126     brouard  1994:   if (*fb > *fa) { 
                   1995:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  1996:     SHFT(dum,*fb,*fa,dum) 
                   1997:   } 
1.126     brouard  1998:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   1999:   *fc=(*func)(*cx); 
1.183     brouard  2000: #ifdef DEBUG
1.224     brouard  2001:   printf("mnbrak0 a=%lf *fa=%lf, b=%lf *fb=%lf, c=%lf *fc=%lf\n",*ax,*fa,*bx,*fb,*cx, *fc);
                   2002:   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  2003: #endif
1.224     brouard  2004:   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  2005:     r=(*bx-*ax)*(*fb-*fc); 
1.224     brouard  2006:     q=(*bx-*cx)*(*fb-*fa); /* What if fa=inf */
1.126     brouard  2007:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  2008:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   2009:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   2010:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  2011:       fu=(*func)(u); 
1.163     brouard  2012: #ifdef DEBUG
                   2013:       /* f(x)=A(x-u)**2+f(u) */
                   2014:       double A, fparabu; 
                   2015:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   2016:       fparabu= *fa - A*(*ax-u)*(*ax-u);
1.224     brouard  2017:       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);
                   2018:       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  2019:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   2020:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   2021:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   2022:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  2023: #endif 
1.184     brouard  2024: #ifdef MNBRAKORIGINAL
1.183     brouard  2025: #else
1.191     brouard  2026: /*       if (fu > *fc) { */
                   2027: /* #ifdef DEBUG */
                   2028: /*       printf("mnbrak4  fu > fc \n"); */
                   2029: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
                   2030: /* #endif */
                   2031: /*     /\* 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 *\\/  *\/ */
                   2032: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
                   2033: /*     dum=u; /\* Shifting c and u *\/ */
                   2034: /*     u = *cx; */
                   2035: /*     *cx = dum; */
                   2036: /*     dum = fu; */
                   2037: /*     fu = *fc; */
                   2038: /*     *fc =dum; */
                   2039: /*       } else { /\* end *\/ */
                   2040: /* #ifdef DEBUG */
                   2041: /*       printf("mnbrak3  fu < fc \n"); */
                   2042: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
                   2043: /* #endif */
                   2044: /*     dum=u; /\* Shifting c and u *\/ */
                   2045: /*     u = *cx; */
                   2046: /*     *cx = dum; */
                   2047: /*     dum = fu; */
                   2048: /*     fu = *fc; */
                   2049: /*     *fc =dum; */
                   2050: /*       } */
1.224     brouard  2051: #ifdef DEBUGMNBRAK
                   2052:                 double A, fparabu; 
                   2053:      A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   2054:      fparabu= *fa - A*(*ax-u)*(*ax-u);
                   2055:      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);
                   2056:      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  2057: #endif
1.191     brouard  2058:       dum=u; /* Shifting c and u */
                   2059:       u = *cx;
                   2060:       *cx = dum;
                   2061:       dum = fu;
                   2062:       fu = *fc;
                   2063:       *fc =dum;
1.183     brouard  2064: #endif
1.162     brouard  2065:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  2066: #ifdef DEBUG
1.224     brouard  2067:       printf("\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
                   2068:       fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
1.183     brouard  2069: #endif
1.126     brouard  2070:       fu=(*func)(u); 
                   2071:       if (fu < *fc) { 
1.183     brouard  2072: #ifdef DEBUG
1.224     brouard  2073:                                printf("\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   2074:                          fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   2075: #endif
                   2076:                          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
                   2077:                                SHFT(*fb,*fc,fu,(*func)(u)) 
                   2078: #ifdef DEBUG
                   2079:                                        printf("\nmnbrak2 shift GOLD c=%lf",*cx+GOLD*(*cx-*bx));
1.183     brouard  2080: #endif
                   2081:       } 
1.162     brouard  2082:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  2083: #ifdef DEBUG
1.224     brouard  2084:       printf("\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
                   2085:       fprintf(ficlog,"\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
1.183     brouard  2086: #endif
1.126     brouard  2087:       u=ulim; 
                   2088:       fu=(*func)(u); 
1.183     brouard  2089:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   2090: #ifdef DEBUG
1.224     brouard  2091:       printf("\nmnbrak2  u=%lf could be left to b=%lf (if r=%lf > q=%lf parabola has a maximum)\n",u,*bx,r,q);
                   2092:       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  2093: #endif
1.126     brouard  2094:       u=(*cx)+GOLD*(*cx-*bx); 
                   2095:       fu=(*func)(u); 
1.224     brouard  2096: #ifdef DEBUG
                   2097:       printf("\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   2098:       fprintf(ficlog,"\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   2099: #endif
1.183     brouard  2100:     } /* end tests */
1.126     brouard  2101:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  2102:     SHFT(*fa,*fb,*fc,fu) 
                   2103: #ifdef DEBUG
1.224     brouard  2104:       printf("\nmnbrak2 shift (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc);
                   2105:       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  2106: #endif
                   2107:   } /* 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  2108: } 
                   2109: 
                   2110: /*************** linmin ************************/
1.162     brouard  2111: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   2112: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   2113: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   2114: the value of func at the returned location p . This is actually all accomplished by calling the
                   2115: routines mnbrak and brent .*/
1.126     brouard  2116: int ncom; 
                   2117: double *pcom,*xicom;
                   2118: double (*nrfunc)(double []); 
                   2119:  
1.224     brouard  2120: #ifdef LINMINORIGINAL
1.126     brouard  2121: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
1.224     brouard  2122: #else
                   2123: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []), int *flat) 
                   2124: #endif
1.126     brouard  2125: { 
                   2126:   double brent(double ax, double bx, double cx, 
                   2127:               double (*f)(double), double tol, double *xmin); 
                   2128:   double f1dim(double x); 
                   2129:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   2130:              double *fc, double (*func)(double)); 
                   2131:   int j; 
                   2132:   double xx,xmin,bx,ax; 
                   2133:   double fx,fb,fa;
1.187     brouard  2134: 
1.203     brouard  2135: #ifdef LINMINORIGINAL
                   2136: #else
                   2137:   double scale=10., axs, xxs; /* Scale added for infinity */
                   2138: #endif
                   2139:   
1.126     brouard  2140:   ncom=n; 
                   2141:   pcom=vector(1,n); 
                   2142:   xicom=vector(1,n); 
                   2143:   nrfunc=func; 
                   2144:   for (j=1;j<=n;j++) { 
                   2145:     pcom[j]=p[j]; 
1.202     brouard  2146:     xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
1.126     brouard  2147:   } 
1.187     brouard  2148: 
1.203     brouard  2149: #ifdef LINMINORIGINAL
                   2150:   xx=1.;
                   2151: #else
                   2152:   axs=0.0;
                   2153:   xxs=1.;
                   2154:   do{
                   2155:     xx= xxs;
                   2156: #endif
1.187     brouard  2157:     ax=0.;
                   2158:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   2159:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   2160:     /* 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))   */
                   2161:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   2162:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   2163:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   2164:     /* 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  2165: #ifdef LINMINORIGINAL
                   2166: #else
                   2167:     if (fx != fx){
1.224     brouard  2168:                        xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                   2169:                        printf("|");
                   2170:                        fprintf(ficlog,"|");
1.203     brouard  2171: #ifdef DEBUGLINMIN
1.224     brouard  2172:                        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  2173: #endif
                   2174:     }
1.224     brouard  2175:   }while(fx != fx && xxs > 1.e-5);
1.203     brouard  2176: #endif
                   2177:   
1.191     brouard  2178: #ifdef DEBUGLINMIN
                   2179:   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  2180:   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  2181: #endif
1.224     brouard  2182: #ifdef LINMINORIGINAL
                   2183: #else
                   2184:        if(fb == fx){ /* Flat function in the direction */
                   2185:                xmin=xx;
                   2186:     *flat=1;
                   2187:        }else{
                   2188:     *flat=0;
                   2189: #endif
                   2190:                /*Flat mnbrak2 shift (*ax=0.000000000000, *fa=51626.272983130431), (*bx=-1.618034000000, *fb=51590.149499362531), (*cx=-4.236068025156, *fc=51590.149499362531) */
1.187     brouard  2191:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   2192:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   2193:   /* fmin = f(p[j] + xmin * xi[j]) */
                   2194:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   2195:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  2196: #ifdef DEBUG
1.224     brouard  2197:   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);
                   2198:   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);
                   2199: #endif
                   2200: #ifdef LINMINORIGINAL
                   2201: #else
                   2202:                        }
1.126     brouard  2203: #endif
1.191     brouard  2204: #ifdef DEBUGLINMIN
                   2205:   printf("linmin end ");
1.202     brouard  2206:   fprintf(ficlog,"linmin end ");
1.191     brouard  2207: #endif
1.126     brouard  2208:   for (j=1;j<=n;j++) { 
1.203     brouard  2209: #ifdef LINMINORIGINAL
                   2210:     xi[j] *= xmin; 
                   2211: #else
                   2212: #ifdef DEBUGLINMIN
                   2213:     if(xxs <1.0)
                   2214:       printf(" before xi[%d]=%12.8f", j,xi[j]);
                   2215: #endif
                   2216:     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) */
                   2217: #ifdef DEBUGLINMIN
                   2218:     if(xxs <1.0)
                   2219:       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 );
                   2220: #endif
                   2221: #endif
1.187     brouard  2222:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  2223:   } 
1.191     brouard  2224: #ifdef DEBUGLINMIN
1.203     brouard  2225:   printf("\n");
1.191     brouard  2226:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
1.202     brouard  2227:   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  2228:   for (j=1;j<=n;j++) { 
1.202     brouard  2229:     printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   2230:     fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   2231:     if(j % ncovmodel == 0){
1.191     brouard  2232:       printf("\n");
1.202     brouard  2233:       fprintf(ficlog,"\n");
                   2234:     }
1.191     brouard  2235:   }
1.203     brouard  2236: #else
1.191     brouard  2237: #endif
1.126     brouard  2238:   free_vector(xicom,1,n); 
                   2239:   free_vector(pcom,1,n); 
                   2240: } 
                   2241: 
                   2242: 
                   2243: /*************** powell ************************/
1.162     brouard  2244: /*
                   2245: Minimization of a function func of n variables. Input consists of an initial starting point
                   2246: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
                   2247: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
                   2248: such that failure to decrease by more than this amount on one iteration signals doneness. On
                   2249: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   2250: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   2251:  */
1.224     brouard  2252: #ifdef LINMINORIGINAL
                   2253: #else
                   2254:        int *flatdir; /* Function is vanishing in that direction */
1.225     brouard  2255:        int flat=0, flatd=0; /* Function is vanishing in that direction */
1.224     brouard  2256: #endif
1.126     brouard  2257: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   2258:            double (*func)(double [])) 
                   2259: { 
1.224     brouard  2260: #ifdef LINMINORIGINAL
                   2261:  void linmin(double p[], double xi[], int n, double *fret, 
1.126     brouard  2262:              double (*func)(double [])); 
1.224     brouard  2263: #else 
1.241     brouard  2264:  void linmin(double p[], double xi[], int n, double *fret,
                   2265:             double (*func)(double []),int *flat); 
1.224     brouard  2266: #endif
1.239     brouard  2267:  int i,ibig,j,jk,k; 
1.126     brouard  2268:   double del,t,*pt,*ptt,*xit;
1.181     brouard  2269:   double directest;
1.126     brouard  2270:   double fp,fptt;
                   2271:   double *xits;
                   2272:   int niterf, itmp;
1.224     brouard  2273: #ifdef LINMINORIGINAL
                   2274: #else
                   2275: 
                   2276:   flatdir=ivector(1,n); 
                   2277:   for (j=1;j<=n;j++) flatdir[j]=0; 
                   2278: #endif
1.126     brouard  2279: 
                   2280:   pt=vector(1,n); 
                   2281:   ptt=vector(1,n); 
                   2282:   xit=vector(1,n); 
                   2283:   xits=vector(1,n); 
                   2284:   *fret=(*func)(p); 
                   2285:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.202     brouard  2286:   rcurr_time = time(NULL);  
1.126     brouard  2287:   for (*iter=1;;++(*iter)) { 
1.187     brouard  2288:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  2289:     ibig=0; 
                   2290:     del=0.0; 
1.157     brouard  2291:     rlast_time=rcurr_time;
                   2292:     /* (void) gettimeofday(&curr_time,&tzp); */
                   2293:     rcurr_time = time(NULL);  
                   2294:     curr_time = *localtime(&rcurr_time);
                   2295:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   2296:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   2297: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.192     brouard  2298:     for (i=1;i<=n;i++) {
1.126     brouard  2299:       fprintf(ficrespow," %.12lf", p[i]);
                   2300:     }
1.239     brouard  2301:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   2302:     printf("\n#model=  1      +     age ");
                   2303:     fprintf(ficlog,"\n#model=  1      +     age ");
                   2304:     if(nagesqr==1){
1.241     brouard  2305:        printf("  + age*age  ");
                   2306:        fprintf(ficlog,"  + age*age  ");
1.239     brouard  2307:     }
                   2308:     for(j=1;j <=ncovmodel-2;j++){
                   2309:       if(Typevar[j]==0) {
                   2310:        printf("  +      V%d  ",Tvar[j]);
                   2311:        fprintf(ficlog,"  +      V%d  ",Tvar[j]);
                   2312:       }else if(Typevar[j]==1) {
                   2313:        printf("  +    V%d*age ",Tvar[j]);
                   2314:        fprintf(ficlog,"  +    V%d*age ",Tvar[j]);
                   2315:       }else if(Typevar[j]==2) {
                   2316:        printf("  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   2317:        fprintf(ficlog,"  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   2318:       }
                   2319:     }
1.126     brouard  2320:     printf("\n");
1.239     brouard  2321: /*     printf("12   47.0114589    0.0154322   33.2424412    0.3279905    2.3731903  */
                   2322: /* 13  -21.5392400    0.1118147    1.2680506    1.2973408   -1.0663662  */
1.126     brouard  2323:     fprintf(ficlog,"\n");
1.239     brouard  2324:     for(i=1,jk=1; i <=nlstate; i++){
                   2325:       for(k=1; k <=(nlstate+ndeath); k++){
                   2326:        if (k != i) {
                   2327:          printf("%d%d ",i,k);
                   2328:          fprintf(ficlog,"%d%d ",i,k);
                   2329:          for(j=1; j <=ncovmodel; j++){
                   2330:            printf("%12.7f ",p[jk]);
                   2331:            fprintf(ficlog,"%12.7f ",p[jk]);
                   2332:            jk++; 
                   2333:          }
                   2334:          printf("\n");
                   2335:          fprintf(ficlog,"\n");
                   2336:        }
                   2337:       }
                   2338:     }
1.241     brouard  2339:     if(*iter <=3 && *iter >1){
1.157     brouard  2340:       tml = *localtime(&rcurr_time);
                   2341:       strcpy(strcurr,asctime(&tml));
                   2342:       rforecast_time=rcurr_time; 
1.126     brouard  2343:       itmp = strlen(strcurr);
                   2344:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
1.241     brouard  2345:        strcurr[itmp-1]='\0';
1.162     brouard  2346:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  2347:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  2348:       for(niterf=10;niterf<=30;niterf+=10){
1.241     brouard  2349:        rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   2350:        forecast_time = *localtime(&rforecast_time);
                   2351:        strcpy(strfor,asctime(&forecast_time));
                   2352:        itmp = strlen(strfor);
                   2353:        if(strfor[itmp-1]=='\n')
                   2354:          strfor[itmp-1]='\0';
                   2355:        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);
                   2356:        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  2357:       }
                   2358:     }
1.187     brouard  2359:     for (i=1;i<=n;i++) { /* For each direction i */
                   2360:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  2361:       fptt=(*fret); 
                   2362: #ifdef DEBUG
1.203     brouard  2363:       printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   2364:       fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  2365: #endif
1.203     brouard  2366:       printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  2367:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.224     brouard  2368: #ifdef LINMINORIGINAL
1.188     brouard  2369:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
1.224     brouard  2370: #else
                   2371:       linmin(p,xit,n,fret,func,&flat); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   2372:                        flatdir[i]=flat; /* Function is vanishing in that direction i */
                   2373: #endif
                   2374:                        /* Outputs are fret(new point p) p is updated and xit rescaled */
1.188     brouard  2375:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
1.224     brouard  2376:                                /* because that direction will be replaced unless the gain del is small */
                   2377:                                /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   2378:                                /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   2379:                                /* with the new direction. */
                   2380:                                del=fabs(fptt-(*fret)); 
                   2381:                                ibig=i; 
1.126     brouard  2382:       } 
                   2383: #ifdef DEBUG
                   2384:       printf("%d %.12e",i,(*fret));
                   2385:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   2386:       for (j=1;j<=n;j++) {
1.224     brouard  2387:                                xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   2388:                                printf(" x(%d)=%.12e",j,xit[j]);
                   2389:                                fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
1.126     brouard  2390:       }
                   2391:       for(j=1;j<=n;j++) {
1.225     brouard  2392:                                printf(" p(%d)=%.12e",j,p[j]);
                   2393:                                fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  2394:       }
                   2395:       printf("\n");
                   2396:       fprintf(ficlog,"\n");
                   2397: #endif
1.187     brouard  2398:     } /* end loop on each direction i */
                   2399:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  2400:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  2401:     /* New value of last point Pn is not computed, P(n-1) */
1.224     brouard  2402:       for(j=1;j<=n;j++) {
1.225     brouard  2403:                                if(flatdir[j] >0){
                   2404:                                        printf(" p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2405:                                        fprintf(ficlog," p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2406:                                }
                   2407:                                /* printf("\n"); */
                   2408:                                /* fprintf(ficlog,"\n"); */
                   2409:                        }
1.243     brouard  2410:     /* if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /\* Did we reach enough precision? *\/ */
                   2411:     if (2.0*fabs(fp-(*fret)) <= ftol) { /* Did we reach enough precision? */
1.188     brouard  2412:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   2413:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   2414:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   2415:       /* decreased of more than 3.84  */
                   2416:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   2417:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   2418:       /* By adding 10 parameters more the gain should be 18.31 */
1.224     brouard  2419:                        
1.188     brouard  2420:       /* Starting the program with initial values given by a former maximization will simply change */
                   2421:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   2422:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   2423:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  2424: #ifdef DEBUG
                   2425:       int k[2],l;
                   2426:       k[0]=1;
                   2427:       k[1]=-1;
                   2428:       printf("Max: %.12e",(*func)(p));
                   2429:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   2430:       for (j=1;j<=n;j++) {
                   2431:        printf(" %.12e",p[j]);
                   2432:        fprintf(ficlog," %.12e",p[j]);
                   2433:       }
                   2434:       printf("\n");
                   2435:       fprintf(ficlog,"\n");
                   2436:       for(l=0;l<=1;l++) {
                   2437:        for (j=1;j<=n;j++) {
                   2438:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   2439:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2440:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2441:        }
                   2442:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2443:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2444:       }
                   2445: #endif
                   2446: 
1.224     brouard  2447: #ifdef LINMINORIGINAL
                   2448: #else
                   2449:       free_ivector(flatdir,1,n); 
                   2450: #endif
1.126     brouard  2451:       free_vector(xit,1,n); 
                   2452:       free_vector(xits,1,n); 
                   2453:       free_vector(ptt,1,n); 
                   2454:       free_vector(pt,1,n); 
                   2455:       return; 
1.192     brouard  2456:     } /* enough precision */ 
1.240     brouard  2457:     if (*iter == ITMAX*n) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  2458:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  2459:       ptt[j]=2.0*p[j]-pt[j]; 
                   2460:       xit[j]=p[j]-pt[j]; 
                   2461:       pt[j]=p[j]; 
                   2462:     } 
1.181     brouard  2463:     fptt=(*func)(ptt); /* f_3 */
1.224     brouard  2464: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
                   2465:                if (*iter <=4) {
1.225     brouard  2466: #else
                   2467: #endif
1.224     brouard  2468: #ifdef POWELLNOF3INFF1TEST    /* skips test F3 <F1 */
1.192     brouard  2469: #else
1.161     brouard  2470:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.192     brouard  2471: #endif
1.162     brouard  2472:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  2473:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  2474:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   2475:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   2476:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.224     brouard  2477:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del or directest <0 */
                   2478:       /* also  lamda^2=(f1-f2)^2/mu² is a parasite solution of powell */
                   2479:       /* For powell, inclusion of this average direction is only if t(del)<0 or del inbetween mu^2 and lambda^2 */
1.161     brouard  2480:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.224     brouard  2481:       /*  Even if f3 <f1, directest can be negative and t >0 */
                   2482:       /* mu² and del² are equal when f3=f1 */
                   2483:                        /* f3 < f1 : mu² < del <= lambda^2 both test are equivalent */
                   2484:                        /* f3 < f1 : mu² < lambda^2 < del then directtest is negative and powell t is positive */
                   2485:                        /* f3 > f1 : lambda² < mu^2 < del then t is negative and directest >0  */
                   2486:                        /* f3 > f1 : lambda² < del < mu^2 then t is positive and directest >0  */
1.183     brouard  2487: #ifdef NRCORIGINAL
                   2488:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   2489: #else
                   2490:       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  2491:       t= t- del*SQR(fp-fptt);
1.183     brouard  2492: #endif
1.202     brouard  2493:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
1.161     brouard  2494: #ifdef DEBUG
1.181     brouard  2495:       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);
                   2496:       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  2497:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2498:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2499:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2500:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2501:       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);
                   2502:       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);
                   2503: #endif
1.183     brouard  2504: #ifdef POWELLORIGINAL
                   2505:       if (t < 0.0) { /* Then we use it for new direction */
                   2506: #else
1.182     brouard  2507:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.224     brouard  2508:                                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  2509:         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  2510:         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  2511:         fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   2512:       } 
1.181     brouard  2513:       if (directest < 0.0) { /* Then we use it for new direction */
                   2514: #endif
1.191     brouard  2515: #ifdef DEBUGLINMIN
1.234     brouard  2516:        printf("Before linmin in direction P%d-P0\n",n);
                   2517:        for (j=1;j<=n;j++) {
                   2518:          printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2519:          fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2520:          if(j % ncovmodel == 0){
                   2521:            printf("\n");
                   2522:            fprintf(ficlog,"\n");
                   2523:          }
                   2524:        }
1.224     brouard  2525: #endif
                   2526: #ifdef LINMINORIGINAL
1.234     brouard  2527:        linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
1.224     brouard  2528: #else
1.234     brouard  2529:        linmin(p,xit,n,fret,func,&flat); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                   2530:        flatdir[i]=flat; /* Function is vanishing in that direction i */
1.191     brouard  2531: #endif
1.234     brouard  2532:        
1.191     brouard  2533: #ifdef DEBUGLINMIN
1.234     brouard  2534:        for (j=1;j<=n;j++) { 
                   2535:          printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2536:          fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2537:          if(j % ncovmodel == 0){
                   2538:            printf("\n");
                   2539:            fprintf(ficlog,"\n");
                   2540:          }
                   2541:        }
1.224     brouard  2542: #endif
1.234     brouard  2543:        for (j=1;j<=n;j++) { 
                   2544:          xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   2545:          xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
                   2546:        }
1.224     brouard  2547: #ifdef LINMINORIGINAL
                   2548: #else
1.234     brouard  2549:        for (j=1, flatd=0;j<=n;j++) {
                   2550:          if(flatdir[j]>0)
                   2551:            flatd++;
                   2552:        }
                   2553:        if(flatd >0){
1.255     brouard  2554:          printf("%d flat directions: ",flatd);
                   2555:          fprintf(ficlog,"%d flat directions :",flatd);
1.234     brouard  2556:          for (j=1;j<=n;j++) { 
                   2557:            if(flatdir[j]>0){
                   2558:              printf("%d ",j);
                   2559:              fprintf(ficlog,"%d ",j);
                   2560:            }
                   2561:          }
                   2562:          printf("\n");
                   2563:          fprintf(ficlog,"\n");
                   2564:        }
1.191     brouard  2565: #endif
1.234     brouard  2566:        printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2567:        fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2568:        
1.126     brouard  2569: #ifdef DEBUG
1.234     brouard  2570:        printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2571:        fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2572:        for(j=1;j<=n;j++){
                   2573:          printf(" %lf",xit[j]);
                   2574:          fprintf(ficlog," %lf",xit[j]);
                   2575:        }
                   2576:        printf("\n");
                   2577:        fprintf(ficlog,"\n");
1.126     brouard  2578: #endif
1.192     brouard  2579:       } /* end of t or directest negative */
1.224     brouard  2580: #ifdef POWELLNOF3INFF1TEST
1.192     brouard  2581: #else
1.234     brouard  2582:       } /* end if (fptt < fp)  */
1.192     brouard  2583: #endif
1.225     brouard  2584: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
1.234     brouard  2585:     } /*NODIRECTIONCHANGEDUNTILNITER  No change in drections until some iterations are done */
1.225     brouard  2586: #else
1.224     brouard  2587: #endif
1.234     brouard  2588:                } /* loop iteration */ 
1.126     brouard  2589: } 
1.234     brouard  2590:   
1.126     brouard  2591: /**** Prevalence limit (stable or period prevalence)  ****************/
1.234     brouard  2592:   
1.235     brouard  2593:   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  2594:   {
1.279     brouard  2595:     /**< Computes the prevalence limit in each live state at age x and for covariate combination ij 
                   2596:      *   (and selected quantitative values in nres)
                   2597:      *  by left multiplying the unit
                   2598:      *  matrix by transitions matrix until convergence is reached with precision ftolpl 
                   2599:      * Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I
                   2600:      * Wx is row vector: population in state 1, population in state 2, population dead
                   2601:      * or prevalence in state 1, prevalence in state 2, 0
                   2602:      * newm is the matrix after multiplications, its rows are identical at a factor.
                   2603:      * Inputs are the parameter, age, a tolerance for the prevalence limit ftolpl.
                   2604:      * Output is prlim.
                   2605:      * Initial matrix pimij 
                   2606:      */
1.206     brouard  2607:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2608:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2609:   /*  0,                   0                  , 1} */
                   2610:   /*
                   2611:    * and after some iteration: */
                   2612:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2613:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2614:   /*  0,                   0                  , 1} */
                   2615:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2616:   /* {0.51571254859325999, 0.4842874514067399, */
                   2617:   /*  0.51326036147820708, 0.48673963852179264} */
                   2618:   /* If we start from prlim again, prlim tends to a constant matrix */
1.234     brouard  2619:     
1.126     brouard  2620:   int i, ii,j,k;
1.209     brouard  2621:   double *min, *max, *meandiff, maxmax,sumnew=0.;
1.145     brouard  2622:   /* double **matprod2(); */ /* test */
1.218     brouard  2623:   double **out, cov[NCOVMAX+1], **pmij(); /* **pmmij is a global variable feeded with oldms etc */
1.126     brouard  2624:   double **newm;
1.209     brouard  2625:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
1.203     brouard  2626:   int ncvloop=0;
1.288     brouard  2627:   int first=0;
1.169     brouard  2628:   
1.209     brouard  2629:   min=vector(1,nlstate);
                   2630:   max=vector(1,nlstate);
                   2631:   meandiff=vector(1,nlstate);
                   2632: 
1.218     brouard  2633:        /* Starting with matrix unity */
1.126     brouard  2634:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2635:     for (j=1;j<=nlstate+ndeath;j++){
                   2636:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2637:     }
1.169     brouard  2638:   
                   2639:   cov[1]=1.;
                   2640:   
                   2641:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.202     brouard  2642:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.126     brouard  2643:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
1.202     brouard  2644:     ncvloop++;
1.126     brouard  2645:     newm=savm;
                   2646:     /* Covariates have to be included here again */
1.138     brouard  2647:     cov[2]=agefin;
1.187     brouard  2648:     if(nagesqr==1)
                   2649:       cov[3]= agefin*agefin;;
1.234     brouard  2650:     for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   2651:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   2652:       cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
1.235     brouard  2653:       /* 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  2654:     }
                   2655:     for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   2656:                        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
1.235     brouard  2657:       cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   2658:       /* 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  2659:     }
1.237     brouard  2660:     for (k=1; k<=cptcovage;k++){  /* For product with age */
1.234     brouard  2661:       if(Dummy[Tvar[Tage[k]]]){
                   2662:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2663:       } else{
1.235     brouard  2664:        cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
1.234     brouard  2665:       }
1.235     brouard  2666:       /* 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  2667:     }
1.237     brouard  2668:     for (k=1; k<=cptcovprod;k++){ /* For product without age */
1.235     brouard  2669:       /* 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  2670:       if(Dummy[Tvard[k][1]==0]){
                   2671:        if(Dummy[Tvard[k][2]==0]){
                   2672:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2673:        }else{
                   2674:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k];
                   2675:        }
                   2676:       }else{
                   2677:        if(Dummy[Tvard[k][2]==0]){
                   2678:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]];
                   2679:        }else{
                   2680:          cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]];
                   2681:        }
                   2682:       }
1.234     brouard  2683:     }
1.138     brouard  2684:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2685:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2686:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  2687:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2688:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2689:                /* age and covariate values of ij are in 'cov' */
1.142     brouard  2690:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  2691:     
1.126     brouard  2692:     savm=oldm;
                   2693:     oldm=newm;
1.209     brouard  2694: 
                   2695:     for(j=1; j<=nlstate; j++){
                   2696:       max[j]=0.;
                   2697:       min[j]=1.;
                   2698:     }
                   2699:     for(i=1;i<=nlstate;i++){
                   2700:       sumnew=0;
                   2701:       for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   2702:       for(j=1; j<=nlstate; j++){ 
                   2703:        prlim[i][j]= newm[i][j]/(1-sumnew);
                   2704:        max[j]=FMAX(max[j],prlim[i][j]);
                   2705:        min[j]=FMIN(min[j],prlim[i][j]);
                   2706:       }
                   2707:     }
                   2708: 
1.126     brouard  2709:     maxmax=0.;
1.209     brouard  2710:     for(j=1; j<=nlstate; j++){
                   2711:       meandiff[j]=(max[j]-min[j])/(max[j]+min[j])*2.; /* mean difference for each column */
                   2712:       maxmax=FMAX(maxmax,meandiff[j]);
                   2713:       /* 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  2714:     } /* j loop */
1.203     brouard  2715:     *ncvyear= (int)age- (int)agefin;
1.208     brouard  2716:     /* 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  2717:     if(maxmax < ftolpl){
1.209     brouard  2718:       /* printf("maxmax=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
                   2719:       free_vector(min,1,nlstate);
                   2720:       free_vector(max,1,nlstate);
                   2721:       free_vector(meandiff,1,nlstate);
1.126     brouard  2722:       return prlim;
                   2723:     }
1.288     brouard  2724:   } /* agefin loop */
1.208     brouard  2725:     /* After some age loop it doesn't converge */
1.288     brouard  2726:   if(!first){
                   2727:     first=1;
                   2728:     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);
                   2729:   }
                   2730:   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);
                   2731: 
1.209     brouard  2732:   /* 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); */
                   2733:   free_vector(min,1,nlstate);
                   2734:   free_vector(max,1,nlstate);
                   2735:   free_vector(meandiff,1,nlstate);
1.208     brouard  2736:   
1.169     brouard  2737:   return prlim; /* should not reach here */
1.126     brouard  2738: }
                   2739: 
1.217     brouard  2740: 
                   2741:  /**** Back Prevalence limit (stable or period prevalence)  ****************/
                   2742: 
1.218     brouard  2743:  /* 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) */
                   2744:  /* 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  2745:   double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ftolpl, int *ncvyear, int ij, int nres)
1.217     brouard  2746: {
1.264     brouard  2747:   /* 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  2748:      matrix by transitions matrix until convergence is reached with precision ftolpl */
                   2749:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2750:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2751:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2752:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2753:   /* Initial matrix pimij */
                   2754:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2755:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2756:   /*  0,                   0                  , 1} */
                   2757:   /*
                   2758:    * and after some iteration: */
                   2759:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2760:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2761:   /*  0,                   0                  , 1} */
                   2762:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2763:   /* {0.51571254859325999, 0.4842874514067399, */
                   2764:   /*  0.51326036147820708, 0.48673963852179264} */
                   2765:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2766: 
                   2767:   int i, ii,j,k;
1.247     brouard  2768:   int first=0;
1.217     brouard  2769:   double *min, *max, *meandiff, maxmax,sumnew=0.;
                   2770:   /* double **matprod2(); */ /* test */
                   2771:   double **out, cov[NCOVMAX+1], **bmij();
                   2772:   double **newm;
1.218     brouard  2773:   double        **dnewm, **doldm, **dsavm;  /* for use */
                   2774:   double        **oldm, **savm;  /* for use */
                   2775: 
1.217     brouard  2776:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
                   2777:   int ncvloop=0;
                   2778:   
                   2779:   min=vector(1,nlstate);
                   2780:   max=vector(1,nlstate);
                   2781:   meandiff=vector(1,nlstate);
                   2782: 
1.266     brouard  2783:   dnewm=ddnewms; doldm=ddoldms; dsavm=ddsavms;
                   2784:   oldm=oldms; savm=savms;
                   2785:   
                   2786:   /* Starting with matrix unity */
                   2787:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2788:     for (j=1;j<=nlstate+ndeath;j++){
1.217     brouard  2789:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2790:     }
                   2791:   
                   2792:   cov[1]=1.;
                   2793:   
                   2794:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2795:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.218     brouard  2796:   /* for(agefin=age+stepm/YEARM; agefin<=age+delaymax; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
1.288     brouard  2797:   /* for(agefin=age; agefin<AGESUP; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
                   2798:   for(agefin=age; agefin<FMIN(AGESUP,age+delaymax); agefin=agefin+stepm/YEARM){ /* A changer en age */
1.217     brouard  2799:     ncvloop++;
1.218     brouard  2800:     newm=savm; /* oldm should be kept from previous iteration or unity at start */
                   2801:                /* newm points to the allocated table savm passed by the function it can be written, savm could be reallocated */
1.217     brouard  2802:     /* Covariates have to be included here again */
                   2803:     cov[2]=agefin;
                   2804:     if(nagesqr==1)
                   2805:       cov[3]= agefin*agefin;;
1.242     brouard  2806:     for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   2807:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   2808:       cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
1.264     brouard  2809:       /* 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  2810:     }
                   2811:     /* for (k=1; k<=cptcovn;k++) { */
                   2812:     /*   /\* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; *\/ */
                   2813:     /*   cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   2814:     /*   /\* 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])]); *\/ */
                   2815:     /* } */
                   2816:     for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   2817:                        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   2818:       cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   2819:       /* 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]); */
                   2820:     }
                   2821:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2]; */
                   2822:     /* for (k=1; k<=cptcovprod;k++) /\* Useless *\/ */
                   2823:     /*   /\* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; *\/ */
                   2824:     /*   cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)]; */
                   2825:     for (k=1; k<=cptcovage;k++){  /* For product with age */
                   2826:       if(Dummy[Tvar[Tage[k]]]){
                   2827:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2828:       } else{
                   2829:        cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   2830:       }
                   2831:       /* 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]); */
                   2832:     }
                   2833:     for (k=1; k<=cptcovprod;k++){ /* For product without age */
                   2834:       /* 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]); */
                   2835:       if(Dummy[Tvard[k][1]==0]){
                   2836:        if(Dummy[Tvard[k][2]==0]){
                   2837:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2838:        }else{
                   2839:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k];
                   2840:        }
                   2841:       }else{
                   2842:        if(Dummy[Tvard[k][2]==0]){
                   2843:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]];
                   2844:        }else{
                   2845:          cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]];
                   2846:        }
                   2847:       }
1.217     brouard  2848:     }
                   2849:     
                   2850:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2851:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2852:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
                   2853:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2854:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2855:                /* ij should be linked to the correct index of cov */
                   2856:                /* age and covariate values ij are in 'cov', but we need to pass
                   2857:                 * ij for the observed prevalence at age and status and covariate
                   2858:                 * number:  prevacurrent[(int)agefin][ii][ij]
                   2859:                 */
                   2860:     /* 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 *\/ */
                   2861:     /* 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 *\/ */
                   2862:     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  2863:     /* if((int)age == 86 || (int)age == 87){ */
1.266     brouard  2864:     /*   printf(" Backward prevalim age=%d agefin=%d \n", (int) age, (int) agefin); */
                   2865:     /*   for(i=1; i<=nlstate+ndeath; i++) { */
                   2866:     /*         printf("%d newm= ",i); */
                   2867:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2868:     /*           printf("%f ",newm[i][j]); */
                   2869:     /*         } */
                   2870:     /*         printf("oldm * "); */
                   2871:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2872:     /*           printf("%f ",oldm[i][j]); */
                   2873:     /*         } */
1.268     brouard  2874:     /*         printf(" bmmij "); */
1.266     brouard  2875:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2876:     /*           printf("%f ",pmmij[i][j]); */
                   2877:     /*         } */
                   2878:     /*         printf("\n"); */
                   2879:     /*   } */
                   2880:     /* } */
1.217     brouard  2881:     savm=oldm;
                   2882:     oldm=newm;
1.266     brouard  2883: 
1.217     brouard  2884:     for(j=1; j<=nlstate; j++){
                   2885:       max[j]=0.;
                   2886:       min[j]=1.;
                   2887:     }
                   2888:     for(j=1; j<=nlstate; j++){ 
                   2889:       for(i=1;i<=nlstate;i++){
1.234     brouard  2890:        /* bprlim[i][j]= newm[i][j]/(1-sumnew); */
                   2891:        bprlim[i][j]= newm[i][j];
                   2892:        max[i]=FMAX(max[i],bprlim[i][j]); /* Max in line */
                   2893:        min[i]=FMIN(min[i],bprlim[i][j]);
1.217     brouard  2894:       }
                   2895:     }
1.218     brouard  2896:                
1.217     brouard  2897:     maxmax=0.;
                   2898:     for(i=1; i<=nlstate; i++){
                   2899:       meandiff[i]=(max[i]-min[i])/(max[i]+min[i])*2.; /* mean difference for each column */
                   2900:       maxmax=FMAX(maxmax,meandiff[i]);
                   2901:       /* 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  2902:     } /* i loop */
1.217     brouard  2903:     *ncvyear= -( (int)age- (int)agefin);
1.268     brouard  2904:     /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  2905:     if(maxmax < ftolpl){
1.220     brouard  2906:       /* printf("OK Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  2907:       free_vector(min,1,nlstate);
                   2908:       free_vector(max,1,nlstate);
                   2909:       free_vector(meandiff,1,nlstate);
                   2910:       return bprlim;
                   2911:     }
1.288     brouard  2912:   } /* agefin loop */
1.217     brouard  2913:     /* After some age loop it doesn't converge */
1.288     brouard  2914:   if(!first){
1.247     brouard  2915:     first=1;
                   2916:     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\
                   2917: 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);
                   2918:   }
                   2919:   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  2920: 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);
                   2921:   /* 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); */
                   2922:   free_vector(min,1,nlstate);
                   2923:   free_vector(max,1,nlstate);
                   2924:   free_vector(meandiff,1,nlstate);
                   2925:   
                   2926:   return bprlim; /* should not reach here */
                   2927: }
                   2928: 
1.126     brouard  2929: /*************** transition probabilities ***************/ 
                   2930: 
                   2931: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   2932: {
1.138     brouard  2933:   /* According to parameters values stored in x and the covariate's values stored in cov,
1.266     brouard  2934:      computes the probability to be observed in state j (after stepm years) being in state i by appying the
1.138     brouard  2935:      model to the ncovmodel covariates (including constant and age).
                   2936:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2937:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2938:      ncth covariate in the global vector x is given by the formula:
                   2939:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2940:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2941:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2942:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
1.266     brouard  2943:      Outputs ps[i][j] or probability to be observed in j being in i according to
1.138     brouard  2944:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
1.266     brouard  2945:      Sum on j ps[i][j] should equal to 1.
1.138     brouard  2946:   */
                   2947:   double s1, lnpijopii;
1.126     brouard  2948:   /*double t34;*/
1.164     brouard  2949:   int i,j, nc, ii, jj;
1.126     brouard  2950: 
1.223     brouard  2951:   for(i=1; i<= nlstate; i++){
                   2952:     for(j=1; j<i;j++){
                   2953:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2954:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   2955:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   2956:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2957:       }
                   2958:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2959:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2960:     }
                   2961:     for(j=i+1; j<=nlstate+ndeath;j++){
                   2962:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2963:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   2964:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   2965:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   2966:       }
                   2967:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2968:     }
                   2969:   }
1.218     brouard  2970:   
1.223     brouard  2971:   for(i=1; i<= nlstate; i++){
                   2972:     s1=0;
                   2973:     for(j=1; j<i; j++){
                   2974:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2975:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2976:     }
                   2977:     for(j=i+1; j<=nlstate+ndeath; j++){
                   2978:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2979:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2980:     }
                   2981:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   2982:     ps[i][i]=1./(s1+1.);
                   2983:     /* Computing other pijs */
                   2984:     for(j=1; j<i; j++)
                   2985:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2986:     for(j=i+1; j<=nlstate+ndeath; j++)
                   2987:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2988:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2989:   } /* end i */
1.218     brouard  2990:   
1.223     brouard  2991:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   2992:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   2993:       ps[ii][jj]=0;
                   2994:       ps[ii][ii]=1;
                   2995:     }
                   2996:   }
1.294     brouard  2997: 
                   2998: 
1.223     brouard  2999:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   3000:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   3001:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   3002:   /*   } */
                   3003:   /*   printf("\n "); */
                   3004:   /* } */
                   3005:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   3006:   /*
                   3007:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
1.218     brouard  3008:                goto end;*/
1.266     brouard  3009:   return ps; /* Pointer is unchanged since its call */
1.126     brouard  3010: }
                   3011: 
1.218     brouard  3012: /*************** backward transition probabilities ***************/ 
                   3013: 
                   3014:  /* 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 ) */
                   3015: /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ***dnewm, double **doldm, double **dsavm, int ij ) */
                   3016:  double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, int ij )
                   3017: {
1.266     brouard  3018:   /* Computes the backward probability at age agefin and covariate combination ij. In fact cov is already filled and x too.
                   3019:    * 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  3020:    */
1.218     brouard  3021:   int i, ii, j,k;
1.222     brouard  3022:   
                   3023:   double **out, **pmij();
                   3024:   double sumnew=0.;
1.218     brouard  3025:   double agefin;
1.292     brouard  3026:   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  3027:   double **dnewm, **dsavm, **doldm;
                   3028:   double **bbmij;
                   3029:   
1.218     brouard  3030:   doldm=ddoldms; /* global pointers */
1.222     brouard  3031:   dnewm=ddnewms;
                   3032:   dsavm=ddsavms;
                   3033:   
                   3034:   agefin=cov[2];
1.268     brouard  3035:   /* Bx = Diag(w_x) P_x Diag(Sum_i w^i_x p^ij_x */
1.222     brouard  3036:   /* bmij *//* age is cov[2], ij is included in cov, but we need for
1.266     brouard  3037:      the observed prevalence (with this covariate ij) at beginning of transition */
                   3038:   /* dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
1.268     brouard  3039: 
                   3040:   /* P_x */
1.266     brouard  3041:   pmmij=pmij(pmmij,cov,ncovmodel,x,nlstate); /*This is forward probability from agefin to agefin + stepm */
1.268     brouard  3042:   /* outputs pmmij which is a stochastic matrix in row */
                   3043: 
                   3044:   /* Diag(w_x) */
1.292     brouard  3045:   /* Rescaling the cross-sectional prevalence: Problem with prevacurrent which can be zero */
1.268     brouard  3046:   sumnew=0.;
1.269     brouard  3047:   /*for (ii=1;ii<=nlstate+ndeath;ii++){*/
1.268     brouard  3048:   for (ii=1;ii<=nlstate;ii++){ /* Only on live states */
1.297   ! brouard  3049:     /* printf(" agefin=%d, ii=%d, ij=%d, prev=%f\n",(int)agefin,ii, ij, prevacurrent[(int)agefin][ii][ij]); */
1.268     brouard  3050:     sumnew+=prevacurrent[(int)agefin][ii][ij];
                   3051:   }
                   3052:   if(sumnew >0.01){  /* At least some value in the prevalence */
                   3053:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   3054:       for (j=1;j<=nlstate+ndeath;j++)
1.269     brouard  3055:        doldm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij]/sumnew : 0.0);
1.268     brouard  3056:     }
                   3057:   }else{
                   3058:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   3059:       for (j=1;j<=nlstate+ndeath;j++)
                   3060:       doldm[ii][j]=(ii==j ? 1./nlstate : 0.0);
                   3061:     }
                   3062:     /* if(sumnew <0.9){ */
                   3063:     /*   printf("Problem internal bmij B: sum on i wi <0.9: j=%d, sum_i wi=%lf,agefin=%d\n",j,sumnew, (int)agefin); */
                   3064:     /* } */
                   3065:   }
                   3066:   k3=0.0;  /* We put the last diagonal to 0 */
                   3067:   for (ii=nlstate+1;ii<=nlstate+ndeath;ii++){
                   3068:       doldm[ii][ii]= k3;
                   3069:   }
                   3070:   /* End doldm, At the end doldm is diag[(w_i)] */
                   3071:   
1.292     brouard  3072:   /* Left product of this diag matrix by pmmij=Px (dnewm=dsavm*doldm): diag[(w_i)*Px */
                   3073:   bbmij=matprod2(dnewm, doldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, pmmij); /* was a Bug Valgrind */
1.268     brouard  3074: 
1.292     brouard  3075:   /* Diag(Sum_i w^i_x p^ij_x, should be the prevalence at age x+stepm */
1.268     brouard  3076:   /* 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  3077:   for (j=1;j<=nlstate+ndeath;j++){
1.268     brouard  3078:     sumnew=0.;
1.222     brouard  3079:     for (ii=1;ii<=nlstate;ii++){
1.266     brouard  3080:       /* sumnew+=dsavm[ii][j]*prevacurrent[(int)agefin][ii][ij]; */
1.268     brouard  3081:       sumnew+=pmmij[ii][j]*doldm[ii][ii]; /* Yes prevalence at beginning of transition */
1.222     brouard  3082:     } /* sumnew is (N11+N21)/N..= N.1/N.. = sum on i of w_i pij */
1.268     brouard  3083:     for (ii=1;ii<=nlstate+ndeath;ii++){
1.222     brouard  3084:        /* if(agefin >= agemaxpar && agefin <= agemaxpar+stepm/YEARM){ */
1.268     brouard  3085:        /*      dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
1.222     brouard  3086:        /* }else if(agefin >= agemaxpar+stepm/YEARM){ */
1.268     brouard  3087:        /*      dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
1.222     brouard  3088:        /* }else */
1.268     brouard  3089:       dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0);
                   3090:     } /*End ii */
                   3091:   } /* 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 */
                   3092: 
1.292     brouard  3093:   ps=matprod2(ps, dnewm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dsavm); /* was a Bug Valgrind */
1.268     brouard  3094:   /* ps is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */
1.222     brouard  3095:   /* end bmij */
1.266     brouard  3096:   return ps; /*pointer is unchanged */
1.218     brouard  3097: }
1.217     brouard  3098: /*************** transition probabilities ***************/ 
                   3099: 
1.218     brouard  3100: double **bpmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
1.217     brouard  3101: {
                   3102:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   3103:      computes the probability to be observed in state j being in state i by appying the
                   3104:      model to the ncovmodel covariates (including constant and age).
                   3105:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   3106:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   3107:      ncth covariate in the global vector x is given by the formula:
                   3108:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   3109:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   3110:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   3111:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   3112:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   3113:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   3114:   */
                   3115:   double s1, lnpijopii;
                   3116:   /*double t34;*/
                   3117:   int i,j, nc, ii, jj;
                   3118: 
1.234     brouard  3119:   for(i=1; i<= nlstate; i++){
                   3120:     for(j=1; j<i;j++){
                   3121:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   3122:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   3123:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   3124:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   3125:       }
                   3126:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   3127:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   3128:     }
                   3129:     for(j=i+1; j<=nlstate+ndeath;j++){
                   3130:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   3131:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   3132:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   3133:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   3134:       }
                   3135:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   3136:     }
                   3137:   }
                   3138:   
                   3139:   for(i=1; i<= nlstate; i++){
                   3140:     s1=0;
                   3141:     for(j=1; j<i; j++){
                   3142:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   3143:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   3144:     }
                   3145:     for(j=i+1; j<=nlstate+ndeath; j++){
                   3146:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   3147:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   3148:     }
                   3149:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   3150:     ps[i][i]=1./(s1+1.);
                   3151:     /* Computing other pijs */
                   3152:     for(j=1; j<i; j++)
                   3153:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3154:     for(j=i+1; j<=nlstate+ndeath; j++)
                   3155:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3156:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   3157:   } /* end i */
                   3158:   
                   3159:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   3160:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   3161:       ps[ii][jj]=0;
                   3162:       ps[ii][ii]=1;
                   3163:     }
                   3164:   }
1.296     brouard  3165:   /* Added for prevbcast */ /* Transposed matrix too */
1.234     brouard  3166:   for(jj=1; jj<= nlstate+ndeath; jj++){
                   3167:     s1=0.;
                   3168:     for(ii=1; ii<= nlstate+ndeath; ii++){
                   3169:       s1+=ps[ii][jj];
                   3170:     }
                   3171:     for(ii=1; ii<= nlstate; ii++){
                   3172:       ps[ii][jj]=ps[ii][jj]/s1;
                   3173:     }
                   3174:   }
                   3175:   /* Transposition */
                   3176:   for(jj=1; jj<= nlstate+ndeath; jj++){
                   3177:     for(ii=jj; ii<= nlstate+ndeath; ii++){
                   3178:       s1=ps[ii][jj];
                   3179:       ps[ii][jj]=ps[jj][ii];
                   3180:       ps[jj][ii]=s1;
                   3181:     }
                   3182:   }
                   3183:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   3184:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   3185:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   3186:   /*   } */
                   3187:   /*   printf("\n "); */
                   3188:   /* } */
                   3189:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   3190:   /*
                   3191:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   3192:     goto end;*/
                   3193:   return ps;
1.217     brouard  3194: }
                   3195: 
                   3196: 
1.126     brouard  3197: /**************** Product of 2 matrices ******************/
                   3198: 
1.145     brouard  3199: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  3200: {
                   3201:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   3202:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   3203:   /* in, b, out are matrice of pointers which should have been initialized 
                   3204:      before: only the contents of out is modified. The function returns
                   3205:      a pointer to pointers identical to out */
1.145     brouard  3206:   int i, j, k;
1.126     brouard  3207:   for(i=nrl; i<= nrh; i++)
1.145     brouard  3208:     for(k=ncolol; k<=ncoloh; k++){
                   3209:       out[i][k]=0.;
                   3210:       for(j=ncl; j<=nch; j++)
                   3211:        out[i][k] +=in[i][j]*b[j][k];
                   3212:     }
1.126     brouard  3213:   return out;
                   3214: }
                   3215: 
                   3216: 
                   3217: /************* Higher Matrix Product ***************/
                   3218: 
1.235     brouard  3219: 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  3220: {
1.218     brouard  3221:   /* Computes the transition matrix starting at age 'age' and combination of covariate values corresponding to ij over 
1.126     brouard  3222:      'nhstepm*hstepm*stepm' months (i.e. until
                   3223:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   3224:      nhstepm*hstepm matrices. 
                   3225:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   3226:      (typically every 2 years instead of every month which is too big 
                   3227:      for the memory).
                   3228:      Model is determined by parameters x and covariates have to be 
                   3229:      included manually here. 
                   3230: 
                   3231:      */
                   3232: 
                   3233:   int i, j, d, h, k;
1.131     brouard  3234:   double **out, cov[NCOVMAX+1];
1.126     brouard  3235:   double **newm;
1.187     brouard  3236:   double agexact;
1.214     brouard  3237:   double agebegin, ageend;
1.126     brouard  3238: 
                   3239:   /* Hstepm could be zero and should return the unit matrix */
                   3240:   for (i=1;i<=nlstate+ndeath;i++)
                   3241:     for (j=1;j<=nlstate+ndeath;j++){
                   3242:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   3243:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   3244:     }
                   3245:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   3246:   for(h=1; h <=nhstepm; h++){
                   3247:     for(d=1; d <=hstepm; d++){
                   3248:       newm=savm;
                   3249:       /* Covariates have to be included here again */
                   3250:       cov[1]=1.;
1.214     brouard  3251:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
1.187     brouard  3252:       cov[2]=agexact;
                   3253:       if(nagesqr==1)
1.227     brouard  3254:        cov[3]= agexact*agexact;
1.235     brouard  3255:       for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   3256:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   3257:        cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
                   3258:        /* 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)); */
                   3259:       }
                   3260:       for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   3261:        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   3262:        cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   3263:        /* 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]); */
                   3264:       }
                   3265:       for (k=1; k<=cptcovage;k++){
                   3266:        if(Dummy[Tvar[Tage[k]]]){
                   3267:          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   3268:        } else{
                   3269:          cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   3270:        }
                   3271:        /* 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]); */
                   3272:       }
                   3273:       for (k=1; k<=cptcovprod;k++){ /*  */
                   3274:        /* 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]); */
                   3275:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   3276:       }
                   3277:       /* for (k=1; k<=cptcovn;k++)  */
                   3278:       /*       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   3279:       /* for (k=1; k<=cptcovage;k++) /\* Should start at cptcovn+1 *\/ */
                   3280:       /*       cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2]; */
                   3281:       /* for (k=1; k<=cptcovprod;k++) /\* Useless because included in cptcovn *\/ */
                   3282:       /*       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)]; */
1.227     brouard  3283:       
                   3284:       
1.126     brouard  3285:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   3286:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.218     brouard  3287:                        /* right multiplication of oldm by the current matrix */
1.126     brouard  3288:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   3289:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
1.217     brouard  3290:       /* if((int)age == 70){ */
                   3291:       /*       printf(" Forward hpxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   3292:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   3293:       /*         printf("%d pmmij ",i); */
                   3294:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3295:       /*           printf("%f ",pmmij[i][j]); */
                   3296:       /*         } */
                   3297:       /*         printf(" oldm "); */
                   3298:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3299:       /*           printf("%f ",oldm[i][j]); */
                   3300:       /*         } */
                   3301:       /*         printf("\n"); */
                   3302:       /*       } */
                   3303:       /* } */
1.126     brouard  3304:       savm=oldm;
                   3305:       oldm=newm;
                   3306:     }
                   3307:     for(i=1; i<=nlstate+ndeath; i++)
                   3308:       for(j=1;j<=nlstate+ndeath;j++) {
1.267     brouard  3309:        po[i][j][h]=newm[i][j];
                   3310:        /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  3311:       }
1.128     brouard  3312:     /*printf("h=%d ",h);*/
1.126     brouard  3313:   } /* end h */
1.267     brouard  3314:   /*     printf("\n H=%d \n",h); */
1.126     brouard  3315:   return po;
                   3316: }
                   3317: 
1.217     brouard  3318: /************* Higher Back Matrix Product ***************/
1.218     brouard  3319: /* 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  3320: 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  3321: {
1.266     brouard  3322:   /* For a combination of dummy covariate ij, computes the transition matrix starting at age 'age' over
1.217     brouard  3323:      'nhstepm*hstepm*stepm' months (i.e. until
1.218     brouard  3324:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
                   3325:      nhstepm*hstepm matrices.
                   3326:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step
                   3327:      (typically every 2 years instead of every month which is too big
1.217     brouard  3328:      for the memory).
1.218     brouard  3329:      Model is determined by parameters x and covariates have to be
1.266     brouard  3330:      included manually here. Then we use a call to bmij(x and cov)
                   3331:      The addresss of po (p3mat allocated to the dimension of nhstepm) should be stored for output
1.222     brouard  3332:   */
1.217     brouard  3333: 
                   3334:   int i, j, d, h, k;
1.266     brouard  3335:   double **out, cov[NCOVMAX+1], **bmij();
                   3336:   double **newm, ***newmm;
1.217     brouard  3337:   double agexact;
                   3338:   double agebegin, ageend;
1.222     brouard  3339:   double **oldm, **savm;
1.217     brouard  3340: 
1.266     brouard  3341:   newmm=po; /* To be saved */
                   3342:   oldm=oldms;savm=savms; /* Global pointers */
1.217     brouard  3343:   /* Hstepm could be zero and should return the unit matrix */
                   3344:   for (i=1;i<=nlstate+ndeath;i++)
                   3345:     for (j=1;j<=nlstate+ndeath;j++){
                   3346:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   3347:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   3348:     }
                   3349:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   3350:   for(h=1; h <=nhstepm; h++){
                   3351:     for(d=1; d <=hstepm; d++){
                   3352:       newm=savm;
                   3353:       /* Covariates have to be included here again */
                   3354:       cov[1]=1.;
1.271     brouard  3355:       agexact=age-( (h-1)*hstepm + (d)  )*stepm/YEARM; /* age just before transition, d or d-1? */
1.217     brouard  3356:       /* agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /\* age just before transition *\/ */
                   3357:       cov[2]=agexact;
                   3358:       if(nagesqr==1)
1.222     brouard  3359:        cov[3]= agexact*agexact;
1.266     brouard  3360:       for (k=1; k<=cptcovn;k++){
                   3361:       /*       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   3362:       /* /\* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; *\/ */
                   3363:        cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
                   3364:         /* 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)); */
                   3365:       }
1.267     brouard  3366:       for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   3367:        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   3368:        cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   3369:        /* 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]); */
                   3370:       }
                   3371:       for (k=1; k<=cptcovage;k++){ /* Should start at cptcovn+1 */
                   3372:        if(Dummy[Tvar[Tage[k]]]){
                   3373:          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   3374:        } else{
                   3375:          cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   3376:        }
                   3377:        /* 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]); */
                   3378:       }
                   3379:       for (k=1; k<=cptcovprod;k++){ /* Useless because included in cptcovn */
1.222     brouard  3380:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.267     brouard  3381:       }                        
1.217     brouard  3382:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   3383:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.267     brouard  3384: 
1.218     brouard  3385:       /* Careful transposed matrix */
1.266     brouard  3386:       /* age is in cov[2], prevacurrent at beginning of transition. */
1.218     brouard  3387:       /* out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\ */
1.222     brouard  3388:       /*                                                1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); */
1.218     brouard  3389:       out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij),\
1.222     brouard  3390:                   1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
1.217     brouard  3391:       /* if((int)age == 70){ */
                   3392:       /*       printf(" Backward hbxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   3393:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   3394:       /*         printf("%d pmmij ",i); */
                   3395:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3396:       /*           printf("%f ",pmmij[i][j]); */
                   3397:       /*         } */
                   3398:       /*         printf(" oldm "); */
                   3399:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3400:       /*           printf("%f ",oldm[i][j]); */
                   3401:       /*         } */
                   3402:       /*         printf("\n"); */
                   3403:       /*       } */
                   3404:       /* } */
                   3405:       savm=oldm;
                   3406:       oldm=newm;
                   3407:     }
                   3408:     for(i=1; i<=nlstate+ndeath; i++)
                   3409:       for(j=1;j<=nlstate+ndeath;j++) {
1.222     brouard  3410:        po[i][j][h]=newm[i][j];
1.268     brouard  3411:        /* if(h==nhstepm) */
                   3412:        /*   printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]); */
1.217     brouard  3413:       }
1.268     brouard  3414:     /* printf("h=%d %.1f ",h, agexact); */
1.217     brouard  3415:   } /* end h */
1.268     brouard  3416:   /* printf("\n H=%d nhs=%d \n",h, nhstepm); */
1.217     brouard  3417:   return po;
                   3418: }
                   3419: 
                   3420: 
1.162     brouard  3421: #ifdef NLOPT
                   3422:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   3423:   double fret;
                   3424:   double *xt;
                   3425:   int j;
                   3426:   myfunc_data *d2 = (myfunc_data *) pd;
                   3427: /* xt = (p1-1); */
                   3428:   xt=vector(1,n); 
                   3429:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   3430: 
                   3431:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   3432:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   3433:   printf("Function = %.12lf ",fret);
                   3434:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   3435:   printf("\n");
                   3436:  free_vector(xt,1,n);
                   3437:   return fret;
                   3438: }
                   3439: #endif
1.126     brouard  3440: 
                   3441: /*************** log-likelihood *************/
                   3442: double func( double *x)
                   3443: {
1.226     brouard  3444:   int i, ii, j, k, mi, d, kk;
                   3445:   int ioffset=0;
                   3446:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
                   3447:   double **out;
                   3448:   double lli; /* Individual log likelihood */
                   3449:   int s1, s2;
1.228     brouard  3450:   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  3451:   double bbh, survp;
                   3452:   long ipmx;
                   3453:   double agexact;
                   3454:   /*extern weight */
                   3455:   /* We are differentiating ll according to initial status */
                   3456:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3457:   /*for(i=1;i<imx;i++) 
                   3458:     printf(" %d\n",s[4][i]);
                   3459:   */
1.162     brouard  3460: 
1.226     brouard  3461:   ++countcallfunc;
1.162     brouard  3462: 
1.226     brouard  3463:   cov[1]=1.;
1.126     brouard  3464: 
1.226     brouard  3465:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3466:   ioffset=0;
1.226     brouard  3467:   if(mle==1){
                   3468:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3469:       /* Computes the values of the ncovmodel covariates of the model
                   3470:         depending if the covariates are fixed or varying (age dependent) and stores them in cov[]
                   3471:         Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                   3472:         to be observed in j being in i according to the model.
                   3473:       */
1.243     brouard  3474:       ioffset=2+nagesqr ;
1.233     brouard  3475:    /* Fixed */
1.234     brouard  3476:       for (k=1; k<=ncovf;k++){ /* Simple and product fixed covariates without age* products */
                   3477:        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)*/
                   3478:       }
1.226     brouard  3479:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
                   3480:         is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
                   3481:         has been calculated etc */
                   3482:       /* For an individual i, wav[i] gives the number of effective waves */
                   3483:       /* We compute the contribution to Likelihood of each effective transition
                   3484:         mw[mi][i] is real wave of the mi th effectve wave */
                   3485:       /* Then statuses are computed at each begin and end of an effective wave s1=s[ mw[mi][i] ][i];
                   3486:         s2=s[mw[mi+1][i]][i];
                   3487:         And the iv th varying covariate is the cotvar[mw[mi+1][i]][iv][i]
                   3488:         But if the variable is not in the model TTvar[iv] is the real variable effective in the model:
                   3489:         meaning that decodemodel should be used cotvar[mw[mi+1][i]][TTvar[iv]][i]
                   3490:       */
                   3491:       for(mi=1; mi<= wav[i]-1; mi++){
1.234     brouard  3492:        for(k=1; k <= ncovv ; k++){ /* Varying  covariates (single and product but no age )*/
1.242     brouard  3493:          /* cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i]; */
                   3494:          cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]-ncovcol-nqv][i];
1.234     brouard  3495:        }
                   3496:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3497:          for (j=1;j<=nlstate+ndeath;j++){
                   3498:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3499:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3500:          }
                   3501:        for(d=0; d<dh[mi][i]; d++){
                   3502:          newm=savm;
                   3503:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3504:          cov[2]=agexact;
                   3505:          if(nagesqr==1)
                   3506:            cov[3]= agexact*agexact;  /* Should be changed here */
                   3507:          for (kk=1; kk<=cptcovage;kk++) {
1.242     brouard  3508:          if(!FixedV[Tvar[Tage[kk]]])
1.234     brouard  3509:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
1.242     brouard  3510:          else
                   3511:            cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]-ncovcol-nqv][i]*agexact;
1.234     brouard  3512:          }
                   3513:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3514:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3515:          savm=oldm;
                   3516:          oldm=newm;
                   3517:        } /* end mult */
                   3518:        
                   3519:        /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   3520:        /* But now since version 0.9 we anticipate for bias at large stepm.
                   3521:         * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   3522:         * (in months) between two waves is not a multiple of stepm, we rounded to 
                   3523:         * the nearest (and in case of equal distance, to the lowest) interval but now
                   3524:         * we keep into memory the bias bh[mi][i] and also the previous matrix product
                   3525:         * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                   3526:         * probability in order to take into account the bias as a fraction of the way
1.231     brouard  3527:                                 * from savm to out if bh is negative or even beyond if bh is positive. bh varies
                   3528:                                 * -stepm/2 to stepm/2 .
                   3529:                                 * For stepm=1 the results are the same as for previous versions of Imach.
                   3530:                                 * For stepm > 1 the results are less biased than in previous versions. 
                   3531:                                 */
1.234     brouard  3532:        s1=s[mw[mi][i]][i];
                   3533:        s2=s[mw[mi+1][i]][i];
                   3534:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3535:        /* bias bh is positive if real duration
                   3536:         * is higher than the multiple of stepm and negative otherwise.
                   3537:         */
                   3538:        /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
                   3539:        if( s2 > nlstate){ 
                   3540:          /* i.e. if s2 is a death state and if the date of death is known 
                   3541:             then the contribution to the likelihood is the probability to 
                   3542:             die between last step unit time and current  step unit time, 
                   3543:             which is also equal to probability to die before dh 
                   3544:             minus probability to die before dh-stepm . 
                   3545:             In version up to 0.92 likelihood was computed
                   3546:             as if date of death was unknown. Death was treated as any other
                   3547:             health state: the date of the interview describes the actual state
                   3548:             and not the date of a change in health state. The former idea was
                   3549:             to consider that at each interview the state was recorded
                   3550:             (healthy, disable or death) and IMaCh was corrected; but when we
                   3551:             introduced the exact date of death then we should have modified
                   3552:             the contribution of an exact death to the likelihood. This new
                   3553:             contribution is smaller and very dependent of the step unit
                   3554:             stepm. It is no more the probability to die between last interview
                   3555:             and month of death but the probability to survive from last
                   3556:             interview up to one month before death multiplied by the
                   3557:             probability to die within a month. Thanks to Chris
                   3558:             Jackson for correcting this bug.  Former versions increased
                   3559:             mortality artificially. The bad side is that we add another loop
                   3560:             which slows down the processing. The difference can be up to 10%
                   3561:             lower mortality.
                   3562:          */
                   3563:          /* If, at the beginning of the maximization mostly, the
                   3564:             cumulative probability or probability to be dead is
                   3565:             constant (ie = 1) over time d, the difference is equal to
                   3566:             0.  out[s1][3] = savm[s1][3]: probability, being at state
                   3567:             s1 at precedent wave, to be dead a month before current
                   3568:             wave is equal to probability, being at state s1 at
                   3569:             precedent wave, to be dead at mont of the current
                   3570:             wave. Then the observed probability (that this person died)
                   3571:             is null according to current estimated parameter. In fact,
                   3572:             it should be very low but not zero otherwise the log go to
                   3573:             infinity.
                   3574:          */
1.183     brouard  3575: /* #ifdef INFINITYORIGINAL */
                   3576: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3577: /* #else */
                   3578: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   3579: /*         lli=log(mytinydouble); */
                   3580: /*       else */
                   3581: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3582: /* #endif */
1.226     brouard  3583:          lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3584:          
1.226     brouard  3585:        } else if  ( s2==-1 ) { /* alive */
                   3586:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3587:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3588:          /*survp += out[s1][j]; */
                   3589:          lli= log(survp);
                   3590:        }
                   3591:        else if  (s2==-4) { 
                   3592:          for (j=3,survp=0. ; j<=nlstate; j++)  
                   3593:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3594:          lli= log(survp); 
                   3595:        } 
                   3596:        else if  (s2==-5) { 
                   3597:          for (j=1,survp=0. ; j<=2; j++)  
                   3598:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3599:          lli= log(survp); 
                   3600:        } 
                   3601:        else{
                   3602:          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3603:          /*  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 */
                   3604:        } 
                   3605:        /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                   3606:        /*if(lli ==000.0)*/
                   3607:        /*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); */
                   3608:        ipmx +=1;
                   3609:        sw += weight[i];
                   3610:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3611:        /* if (lli < log(mytinydouble)){ */
                   3612:        /*   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); */
                   3613:        /*   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]); */
                   3614:        /* } */
                   3615:       } /* end of wave */
                   3616:     } /* end of individual */
                   3617:   }  else if(mle==2){
                   3618:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3619:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3620:       for(mi=1; mi<= wav[i]-1; mi++){
                   3621:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3622:          for (j=1;j<=nlstate+ndeath;j++){
                   3623:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3624:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3625:          }
                   3626:        for(d=0; d<=dh[mi][i]; d++){
                   3627:          newm=savm;
                   3628:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3629:          cov[2]=agexact;
                   3630:          if(nagesqr==1)
                   3631:            cov[3]= agexact*agexact;
                   3632:          for (kk=1; kk<=cptcovage;kk++) {
                   3633:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3634:          }
                   3635:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3636:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3637:          savm=oldm;
                   3638:          oldm=newm;
                   3639:        } /* end mult */
                   3640:       
                   3641:        s1=s[mw[mi][i]][i];
                   3642:        s2=s[mw[mi+1][i]][i];
                   3643:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3644:        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 */
                   3645:        ipmx +=1;
                   3646:        sw += weight[i];
                   3647:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3648:       } /* end of wave */
                   3649:     } /* end of individual */
                   3650:   }  else if(mle==3){  /* exponential inter-extrapolation */
                   3651:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3652:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3653:       for(mi=1; mi<= wav[i]-1; mi++){
                   3654:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3655:          for (j=1;j<=nlstate+ndeath;j++){
                   3656:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3657:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3658:          }
                   3659:        for(d=0; d<dh[mi][i]; d++){
                   3660:          newm=savm;
                   3661:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3662:          cov[2]=agexact;
                   3663:          if(nagesqr==1)
                   3664:            cov[3]= agexact*agexact;
                   3665:          for (kk=1; kk<=cptcovage;kk++) {
                   3666:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3667:          }
                   3668:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3669:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3670:          savm=oldm;
                   3671:          oldm=newm;
                   3672:        } /* end mult */
                   3673:       
                   3674:        s1=s[mw[mi][i]][i];
                   3675:        s2=s[mw[mi+1][i]][i];
                   3676:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3677:        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 */
                   3678:        ipmx +=1;
                   3679:        sw += weight[i];
                   3680:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3681:       } /* end of wave */
                   3682:     } /* end of individual */
                   3683:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
                   3684:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3685:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3686:       for(mi=1; mi<= wav[i]-1; mi++){
                   3687:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3688:          for (j=1;j<=nlstate+ndeath;j++){
                   3689:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3690:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3691:          }
                   3692:        for(d=0; d<dh[mi][i]; d++){
                   3693:          newm=savm;
                   3694:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3695:          cov[2]=agexact;
                   3696:          if(nagesqr==1)
                   3697:            cov[3]= agexact*agexact;
                   3698:          for (kk=1; kk<=cptcovage;kk++) {
                   3699:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3700:          }
1.126     brouard  3701:        
1.226     brouard  3702:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3703:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3704:          savm=oldm;
                   3705:          oldm=newm;
                   3706:        } /* end mult */
                   3707:       
                   3708:        s1=s[mw[mi][i]][i];
                   3709:        s2=s[mw[mi+1][i]][i];
                   3710:        if( s2 > nlstate){ 
                   3711:          lli=log(out[s1][s2] - savm[s1][s2]);
                   3712:        } else if  ( s2==-1 ) { /* alive */
                   3713:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3714:            survp += out[s1][j];
                   3715:          lli= log(survp);
                   3716:        }else{
                   3717:          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3718:        }
                   3719:        ipmx +=1;
                   3720:        sw += weight[i];
                   3721:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.126     brouard  3722: /*     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  3723:       } /* end of wave */
                   3724:     } /* end of individual */
                   3725:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
                   3726:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3727:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3728:       for(mi=1; mi<= wav[i]-1; mi++){
                   3729:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3730:          for (j=1;j<=nlstate+ndeath;j++){
                   3731:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3732:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3733:          }
                   3734:        for(d=0; d<dh[mi][i]; d++){
                   3735:          newm=savm;
                   3736:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3737:          cov[2]=agexact;
                   3738:          if(nagesqr==1)
                   3739:            cov[3]= agexact*agexact;
                   3740:          for (kk=1; kk<=cptcovage;kk++) {
                   3741:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3742:          }
1.126     brouard  3743:        
1.226     brouard  3744:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3745:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3746:          savm=oldm;
                   3747:          oldm=newm;
                   3748:        } /* end mult */
                   3749:       
                   3750:        s1=s[mw[mi][i]][i];
                   3751:        s2=s[mw[mi+1][i]][i];
                   3752:        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3753:        ipmx +=1;
                   3754:        sw += weight[i];
                   3755:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3756:        /*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]);*/
                   3757:       } /* end of wave */
                   3758:     } /* end of individual */
                   3759:   } /* End of if */
                   3760:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3761:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3762:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3763:   return -l;
1.126     brouard  3764: }
                   3765: 
                   3766: /*************** log-likelihood *************/
                   3767: double funcone( double *x)
                   3768: {
1.228     brouard  3769:   /* Same as func but slower because of a lot of printf and if */
1.126     brouard  3770:   int i, ii, j, k, mi, d, kk;
1.228     brouard  3771:   int ioffset=0;
1.131     brouard  3772:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  3773:   double **out;
                   3774:   double lli; /* Individual log likelihood */
                   3775:   double llt;
                   3776:   int s1, s2;
1.228     brouard  3777:   int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate, quantitative time varying covariate */
                   3778: 
1.126     brouard  3779:   double bbh, survp;
1.187     brouard  3780:   double agexact;
1.214     brouard  3781:   double agebegin, ageend;
1.126     brouard  3782:   /*extern weight */
                   3783:   /* We are differentiating ll according to initial status */
                   3784:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3785:   /*for(i=1;i<imx;i++) 
                   3786:     printf(" %d\n",s[4][i]);
                   3787:   */
                   3788:   cov[1]=1.;
                   3789: 
                   3790:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3791:   ioffset=0;
                   3792:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.243     brouard  3793:     /* ioffset=2+nagesqr+cptcovage; */
                   3794:     ioffset=2+nagesqr;
1.232     brouard  3795:     /* Fixed */
1.224     brouard  3796:     /* for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i]; */
1.232     brouard  3797:     /* for (k=1; k<=ncoveff;k++){ /\* Simple and product fixed Dummy covariates without age* products *\/ */
                   3798:     for (k=1; k<=ncovf;k++){ /* Simple and product fixed covariates without age* products */
                   3799:       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)*/
                   3800: /*    cov[ioffset+TvarFind[1]]=covar[Tvar[TvarFind[1]]][i];  */
                   3801: /*    cov[2+6]=covar[Tvar[6]][i];  */
                   3802: /*    cov[2+6]=covar[2][i]; V2  */
                   3803: /*    cov[TvarFind[2]]=covar[Tvar[TvarFind[2]]][i];  */
                   3804: /*    cov[2+7]=covar[Tvar[7]][i];  */
                   3805: /*    cov[2+7]=covar[7][i]; V7=V1*V2  */
                   3806: /*    cov[TvarFind[3]]=covar[Tvar[TvarFind[3]]][i];  */
                   3807: /*    cov[2+9]=covar[Tvar[9]][i];  */
                   3808: /*    cov[2+9]=covar[1][i]; V1  */
1.225     brouard  3809:     }
1.232     brouard  3810:     /* for (k=1; k<=nqfveff;k++){ /\* Simple and product fixed Quantitative covariates without age* products *\/ */
                   3811:     /*   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?)*\/ */
                   3812:     /* } */
1.231     brouard  3813:     /* for(iqv=1; iqv <= nqfveff; iqv++){ /\* Quantitative fixed covariates *\/ */
                   3814:     /*   cov[++ioffset]=coqvar[Tvar[iqv]][i]; /\* Only V2 k=6 and V1*V2 7 *\/ */
                   3815:     /* } */
1.225     brouard  3816:     
1.233     brouard  3817: 
                   3818:     for(mi=1; mi<= wav[i]-1; mi++){  /* Varying with waves */
1.232     brouard  3819:     /* Wave varying (but not age varying) */
                   3820:       for(k=1; k <= ncovv ; k++){ /* Varying  covariates (single and product but no age )*/
1.242     brouard  3821:        /* cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i]; */
                   3822:        cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]-ncovcol-nqv][i];
                   3823:       }
1.232     brouard  3824:       /* for(itv=1; itv <= ntveff; itv++){ /\* Varying dummy covariates (single??)*\/ */
1.242     brouard  3825:       /* iv= Tvar[Tmodelind[ioffset-2-nagesqr-cptcovage+itv]]-ncovcol-nqv; /\* Counting the # varying covariate from 1 to ntveff *\/ */
                   3826:       /* cov[ioffset+iv]=cotvar[mw[mi][i]][iv][i]; */
                   3827:       /* k=ioffset-2-nagesqr-cptcovage+itv; /\* position in simple model *\/ */
                   3828:       /* cov[ioffset+itv]=cotvar[mw[mi][i]][TmodelInvind[itv]][i]; */
                   3829:       /* 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  3830:       /* for(iqtv=1; iqtv <= nqtveff; iqtv++){ /\* Varying quantitatives covariates *\/ */
1.242     brouard  3831:       /*       iv=TmodelInvQind[iqtv]; /\* Counting the # varying covariate from 1 to ntveff *\/ */
                   3832:       /*       /\* 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]); *\/ */
                   3833:       /*       cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i]; */
1.232     brouard  3834:       /* } */
1.126     brouard  3835:       for (ii=1;ii<=nlstate+ndeath;ii++)
1.242     brouard  3836:        for (j=1;j<=nlstate+ndeath;j++){
                   3837:          oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3838:          savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3839:        }
1.214     brouard  3840:       
                   3841:       agebegin=agev[mw[mi][i]][i]; /* Age at beginning of effective wave */
                   3842:       ageend=agev[mw[mi][i]][i] + (dh[mi][i])*stepm/YEARM; /* Age at end of effective wave and at the end of transition */
                   3843:       for(d=0; d<dh[mi][i]; d++){  /* Delay between two effective waves */
1.247     brouard  3844:       /* for(d=0; d<=0; d++){  /\* Delay between two effective waves Only one matrix to speed up*\/ */
1.242     brouard  3845:        /*dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   3846:          and mw[mi+1][i]. dh depends on stepm.*/
                   3847:        newm=savm;
1.247     brouard  3848:        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;  /* Here d is needed */
1.242     brouard  3849:        cov[2]=agexact;
                   3850:        if(nagesqr==1)
                   3851:          cov[3]= agexact*agexact;
                   3852:        for (kk=1; kk<=cptcovage;kk++) {
                   3853:          if(!FixedV[Tvar[Tage[kk]]])
                   3854:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3855:          else
                   3856:            cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]-ncovcol-nqv][i]*agexact;
                   3857:        }
                   3858:        /* printf("i=%d,mi=%d,d=%d,mw[mi][i]=%d\n",i, mi,d,mw[mi][i]); */
                   3859:        /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   3860:        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3861:                     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3862:        /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
                   3863:        /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
                   3864:        savm=oldm;
                   3865:        oldm=newm;
1.126     brouard  3866:       } /* end mult */
                   3867:       
                   3868:       s1=s[mw[mi][i]][i];
                   3869:       s2=s[mw[mi+1][i]][i];
1.217     brouard  3870:       /* if(s2==-1){ */
1.268     brouard  3871:       /*       printf(" ERROR s1=%d, s2=%d i=%d \n", s1, s2, i); */
1.217     brouard  3872:       /*       /\* exit(1); *\/ */
                   3873:       /* } */
1.126     brouard  3874:       bbh=(double)bh[mi][i]/(double)stepm; 
                   3875:       /* bias is positive if real duration
                   3876:        * is higher than the multiple of stepm and negative otherwise.
                   3877:        */
                   3878:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
1.242     brouard  3879:        lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3880:       } else if  ( s2==-1 ) { /* alive */
1.242     brouard  3881:        for (j=1,survp=0. ; j<=nlstate; j++) 
                   3882:          survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3883:        lli= log(survp);
1.126     brouard  3884:       }else if (mle==1){
1.242     brouard  3885:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
1.126     brouard  3886:       } else if(mle==2){
1.242     brouard  3887:        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  3888:       } else if(mle==3){  /* exponential inter-extrapolation */
1.242     brouard  3889:        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  3890:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
1.242     brouard  3891:        lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  3892:       } else{  /* mle=0 back to 1 */
1.242     brouard  3893:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3894:        /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  3895:       } /* End of if */
                   3896:       ipmx +=1;
                   3897:       sw += weight[i];
                   3898:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  3899:       /*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  3900:       if(globpr){
1.246     brouard  3901:        fprintf(ficresilk,"%09ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %15.6f %8.4f %8.3f\
1.126     brouard  3902:  %11.6f %11.6f %11.6f ", \
1.242     brouard  3903:                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  3904:                2*weight[i]*lli,(s2==-1? -1: out[s1][s2]),(s2==-1? -1: savm[s1][s2]));
1.242     brouard  3905:        for(k=1,llt=0.,l=0.; k<=nlstate; k++){
                   3906:          llt +=ll[k]*gipmx/gsw;
                   3907:          fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                   3908:        }
                   3909:        fprintf(ficresilk," %10.6f\n", -llt);
1.126     brouard  3910:       }
1.232     brouard  3911:        } /* end of wave */
                   3912: } /* end of individual */
                   3913: for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3914: /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3915: l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3916: if(globpr==0){ /* First time we count the contributions and weights */
                   3917:        gipmx=ipmx;
                   3918:        gsw=sw;
                   3919: }
                   3920: return -l;
1.126     brouard  3921: }
                   3922: 
                   3923: 
                   3924: /*************** function likelione ***********/
1.292     brouard  3925: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*func)(double []))
1.126     brouard  3926: {
                   3927:   /* This routine should help understanding what is done with 
                   3928:      the selection of individuals/waves and
                   3929:      to check the exact contribution to the likelihood.
                   3930:      Plotting could be done.
                   3931:    */
                   3932:   int k;
                   3933: 
                   3934:   if(*globpri !=0){ /* Just counts and sums, no printings */
1.201     brouard  3935:     strcpy(fileresilk,"ILK_"); 
1.202     brouard  3936:     strcat(fileresilk,fileresu);
1.126     brouard  3937:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   3938:       printf("Problem with resultfile: %s\n", fileresilk);
                   3939:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   3940:     }
1.214     brouard  3941:     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");
                   3942:     fprintf(ficresilk, "#num_i ageb agend i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav ");
1.126     brouard  3943:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   3944:     for(k=1; k<=nlstate; k++) 
                   3945:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   3946:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   3947:   }
                   3948: 
1.292     brouard  3949:   *fretone=(*func)(p);
1.126     brouard  3950:   if(*globpri !=0){
                   3951:     fclose(ficresilk);
1.205     brouard  3952:     if (mle ==0)
                   3953:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
                   3954:     else if(mle >=1)
                   3955:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
                   3956:     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  3957:     fprintf(fichtm,"\n<br>Equation of the model: <b>model=1+age+%s</b><br>\n",model); 
1.208     brouard  3958:       
                   3959:     for (k=1; k<= nlstate ; k++) {
1.211     brouard  3960:       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  3961: <img src=\"%s-p%dj.png\">",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
                   3962:     }
1.207     brouard  3963:     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  3964: <img src=\"%s-ori.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3965:     fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
1.204     brouard  3966: <img src=\"%s-dest.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3967:     fflush(fichtm);
1.205     brouard  3968:   }
1.126     brouard  3969:   return;
                   3970: }
                   3971: 
                   3972: 
                   3973: /*********** Maximum Likelihood Estimation ***************/
                   3974: 
                   3975: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   3976: {
1.165     brouard  3977:   int i,j, iter=0;
1.126     brouard  3978:   double **xi;
                   3979:   double fret;
                   3980:   double fretone; /* Only one call to likelihood */
                   3981:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  3982: 
                   3983: #ifdef NLOPT
                   3984:   int creturn;
                   3985:   nlopt_opt opt;
                   3986:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   3987:   double *lb;
                   3988:   double minf; /* the minimum objective value, upon return */
                   3989:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   3990:   myfunc_data dinst, *d = &dinst;
                   3991: #endif
                   3992: 
                   3993: 
1.126     brouard  3994:   xi=matrix(1,npar,1,npar);
                   3995:   for (i=1;i<=npar;i++)
                   3996:     for (j=1;j<=npar;j++)
                   3997:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   3998:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.201     brouard  3999:   strcpy(filerespow,"POW_"); 
1.126     brouard  4000:   strcat(filerespow,fileres);
                   4001:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   4002:     printf("Problem with resultfile: %s\n", filerespow);
                   4003:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   4004:   }
                   4005:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   4006:   for (i=1;i<=nlstate;i++)
                   4007:     for(j=1;j<=nlstate+ndeath;j++)
                   4008:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   4009:   fprintf(ficrespow,"\n");
1.162     brouard  4010: #ifdef POWELL
1.126     brouard  4011:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.162     brouard  4012: #endif
1.126     brouard  4013: 
1.162     brouard  4014: #ifdef NLOPT
                   4015: #ifdef NEWUOA
                   4016:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   4017: #else
                   4018:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   4019: #endif
                   4020:   lb=vector(0,npar-1);
                   4021:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   4022:   nlopt_set_lower_bounds(opt, lb);
                   4023:   nlopt_set_initial_step1(opt, 0.1);
                   4024:   
                   4025:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   4026:   d->function = func;
                   4027:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   4028:   nlopt_set_min_objective(opt, myfunc, d);
                   4029:   nlopt_set_xtol_rel(opt, ftol);
                   4030:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   4031:     printf("nlopt failed! %d\n",creturn); 
                   4032:   }
                   4033:   else {
                   4034:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   4035:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   4036:     iter=1; /* not equal */
                   4037:   }
                   4038:   nlopt_destroy(opt);
                   4039: #endif
1.126     brouard  4040:   free_matrix(xi,1,npar,1,npar);
                   4041:   fclose(ficrespow);
1.203     brouard  4042:   printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   4043:   fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.180     brouard  4044:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  4045: 
                   4046: }
                   4047: 
                   4048: /**** Computes Hessian and covariance matrix ***/
1.203     brouard  4049: void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
1.126     brouard  4050: {
                   4051:   double  **a,**y,*x,pd;
1.203     brouard  4052:   /* double **hess; */
1.164     brouard  4053:   int i, j;
1.126     brouard  4054:   int *indx;
                   4055: 
                   4056:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
1.203     brouard  4057:   double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
1.126     brouard  4058:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   4059:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   4060:   double gompertz(double p[]);
1.203     brouard  4061:   /* hess=matrix(1,npar,1,npar); */
1.126     brouard  4062: 
                   4063:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   4064:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   4065:   for (i=1;i<=npar;i++){
1.203     brouard  4066:     printf("%d-",i);fflush(stdout);
                   4067:     fprintf(ficlog,"%d-",i);fflush(ficlog);
1.126     brouard  4068:    
                   4069:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   4070:     
                   4071:     /*  printf(" %f ",p[i]);
                   4072:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   4073:   }
                   4074:   
                   4075:   for (i=1;i<=npar;i++) {
                   4076:     for (j=1;j<=npar;j++)  {
                   4077:       if (j>i) { 
1.203     brouard  4078:        printf(".%d-%d",i,j);fflush(stdout);
                   4079:        fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
                   4080:        hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
1.126     brouard  4081:        
                   4082:        hess[j][i]=hess[i][j];    
                   4083:        /*printf(" %lf ",hess[i][j]);*/
                   4084:       }
                   4085:     }
                   4086:   }
                   4087:   printf("\n");
                   4088:   fprintf(ficlog,"\n");
                   4089: 
                   4090:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   4091:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   4092:   
                   4093:   a=matrix(1,npar,1,npar);
                   4094:   y=matrix(1,npar,1,npar);
                   4095:   x=vector(1,npar);
                   4096:   indx=ivector(1,npar);
                   4097:   for (i=1;i<=npar;i++)
                   4098:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   4099:   ludcmp(a,npar,indx,&pd);
                   4100: 
                   4101:   for (j=1;j<=npar;j++) {
                   4102:     for (i=1;i<=npar;i++) x[i]=0;
                   4103:     x[j]=1;
                   4104:     lubksb(a,npar,indx,x);
                   4105:     for (i=1;i<=npar;i++){ 
                   4106:       matcov[i][j]=x[i];
                   4107:     }
                   4108:   }
                   4109: 
                   4110:   printf("\n#Hessian matrix#\n");
                   4111:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   4112:   for (i=1;i<=npar;i++) { 
                   4113:     for (j=1;j<=npar;j++) { 
1.203     brouard  4114:       printf("%.6e ",hess[i][j]);
                   4115:       fprintf(ficlog,"%.6e ",hess[i][j]);
1.126     brouard  4116:     }
                   4117:     printf("\n");
                   4118:     fprintf(ficlog,"\n");
                   4119:   }
                   4120: 
1.203     brouard  4121:   /* printf("\n#Covariance matrix#\n"); */
                   4122:   /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
                   4123:   /* for (i=1;i<=npar;i++) {  */
                   4124:   /*   for (j=1;j<=npar;j++) {  */
                   4125:   /*     printf("%.6e ",matcov[i][j]); */
                   4126:   /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
                   4127:   /*   } */
                   4128:   /*   printf("\n"); */
                   4129:   /*   fprintf(ficlog,"\n"); */
                   4130:   /* } */
                   4131: 
1.126     brouard  4132:   /* Recompute Inverse */
1.203     brouard  4133:   /* for (i=1;i<=npar;i++) */
                   4134:   /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
                   4135:   /* ludcmp(a,npar,indx,&pd); */
                   4136: 
                   4137:   /*  printf("\n#Hessian matrix recomputed#\n"); */
                   4138: 
                   4139:   /* for (j=1;j<=npar;j++) { */
                   4140:   /*   for (i=1;i<=npar;i++) x[i]=0; */
                   4141:   /*   x[j]=1; */
                   4142:   /*   lubksb(a,npar,indx,x); */
                   4143:   /*   for (i=1;i<=npar;i++){  */
                   4144:   /*     y[i][j]=x[i]; */
                   4145:   /*     printf("%.3e ",y[i][j]); */
                   4146:   /*     fprintf(ficlog,"%.3e ",y[i][j]); */
                   4147:   /*   } */
                   4148:   /*   printf("\n"); */
                   4149:   /*   fprintf(ficlog,"\n"); */
                   4150:   /* } */
                   4151: 
                   4152:   /* Verifying the inverse matrix */
                   4153: #ifdef DEBUGHESS
                   4154:   y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
1.126     brouard  4155: 
1.203     brouard  4156:    printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
                   4157:    fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
1.126     brouard  4158: 
                   4159:   for (j=1;j<=npar;j++) {
                   4160:     for (i=1;i<=npar;i++){ 
1.203     brouard  4161:       printf("%.2f ",y[i][j]);
                   4162:       fprintf(ficlog,"%.2f ",y[i][j]);
1.126     brouard  4163:     }
                   4164:     printf("\n");
                   4165:     fprintf(ficlog,"\n");
                   4166:   }
1.203     brouard  4167: #endif
1.126     brouard  4168: 
                   4169:   free_matrix(a,1,npar,1,npar);
                   4170:   free_matrix(y,1,npar,1,npar);
                   4171:   free_vector(x,1,npar);
                   4172:   free_ivector(indx,1,npar);
1.203     brouard  4173:   /* free_matrix(hess,1,npar,1,npar); */
1.126     brouard  4174: 
                   4175: 
                   4176: }
                   4177: 
                   4178: /*************** hessian matrix ****************/
                   4179: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
1.203     brouard  4180: { /* Around values of x, computes the function func and returns the scales delti and hessian */
1.126     brouard  4181:   int i;
                   4182:   int l=1, lmax=20;
1.203     brouard  4183:   double k1,k2, res, fx;
1.132     brouard  4184:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  4185:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   4186:   int k=0,kmax=10;
                   4187:   double l1;
                   4188: 
                   4189:   fx=func(x);
                   4190:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  4191:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  4192:     l1=pow(10,l);
                   4193:     delts=delt;
                   4194:     for(k=1 ; k <kmax; k=k+1){
                   4195:       delt = delta*(l1*k);
                   4196:       p2[theta]=x[theta] +delt;
1.145     brouard  4197:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  4198:       p2[theta]=x[theta]-delt;
                   4199:       k2=func(p2)-fx;
                   4200:       /*res= (k1-2.0*fx+k2)/delt/delt; */
1.203     brouard  4201:       res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
1.126     brouard  4202:       
1.203     brouard  4203: #ifdef DEBUGHESSII
1.126     brouard  4204:       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);
                   4205:       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);
                   4206: #endif
                   4207:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   4208:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   4209:        k=kmax;
                   4210:       }
                   4211:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  4212:        k=kmax; l=lmax*10;
1.126     brouard  4213:       }
                   4214:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   4215:        delts=delt;
                   4216:       }
1.203     brouard  4217:     } /* End loop k */
1.126     brouard  4218:   }
                   4219:   delti[theta]=delts;
                   4220:   return res; 
                   4221:   
                   4222: }
                   4223: 
1.203     brouard  4224: double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
1.126     brouard  4225: {
                   4226:   int i;
1.164     brouard  4227:   int l=1, lmax=20;
1.126     brouard  4228:   double k1,k2,k3,k4,res,fx;
1.132     brouard  4229:   double p2[MAXPARM+1];
1.203     brouard  4230:   int k, kmax=1;
                   4231:   double v1, v2, cv12, lc1, lc2;
1.208     brouard  4232: 
                   4233:   int firstime=0;
1.203     brouard  4234:   
1.126     brouard  4235:   fx=func(x);
1.203     brouard  4236:   for (k=1; k<=kmax; k=k+10) {
1.126     brouard  4237:     for (i=1;i<=npar;i++) p2[i]=x[i];
1.203     brouard  4238:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   4239:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  4240:     k1=func(p2)-fx;
                   4241:   
1.203     brouard  4242:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   4243:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  4244:     k2=func(p2)-fx;
                   4245:   
1.203     brouard  4246:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   4247:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  4248:     k3=func(p2)-fx;
                   4249:   
1.203     brouard  4250:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   4251:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  4252:     k4=func(p2)-fx;
1.203     brouard  4253:     res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */
                   4254:     if(k1*k2*k3*k4 <0.){
1.208     brouard  4255:       firstime=1;
1.203     brouard  4256:       kmax=kmax+10;
1.208     brouard  4257:     }
                   4258:     if(kmax >=10 || firstime ==1){
1.246     brouard  4259:       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);
                   4260:       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  4261:       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);
                   4262:       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);
                   4263:     }
                   4264: #ifdef DEBUGHESSIJ
                   4265:     v1=hess[thetai][thetai];
                   4266:     v2=hess[thetaj][thetaj];
                   4267:     cv12=res;
                   4268:     /* Computing eigen value of Hessian matrix */
                   4269:     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4270:     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4271:     if ((lc2 <0) || (lc1 <0) ){
                   4272:       printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   4273:       fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   4274:       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);
                   4275:       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);
                   4276:     }
1.126     brouard  4277: #endif
                   4278:   }
                   4279:   return res;
                   4280: }
                   4281: 
1.203     brouard  4282:     /* Not done yet: Was supposed to fix if not exactly at the maximum */
                   4283: /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
                   4284: /* { */
                   4285: /*   int i; */
                   4286: /*   int l=1, lmax=20; */
                   4287: /*   double k1,k2,k3,k4,res,fx; */
                   4288: /*   double p2[MAXPARM+1]; */
                   4289: /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
                   4290: /*   int k=0,kmax=10; */
                   4291: /*   double l1; */
                   4292:   
                   4293: /*   fx=func(x); */
                   4294: /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
                   4295: /*     l1=pow(10,l); */
                   4296: /*     delts=delt; */
                   4297: /*     for(k=1 ; k <kmax; k=k+1){ */
                   4298: /*       delt = delti*(l1*k); */
                   4299: /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
                   4300: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   4301: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   4302: /*       k1=func(p2)-fx; */
                   4303:       
                   4304: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   4305: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   4306: /*       k2=func(p2)-fx; */
                   4307:       
                   4308: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   4309: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   4310: /*       k3=func(p2)-fx; */
                   4311:       
                   4312: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   4313: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   4314: /*       k4=func(p2)-fx; */
                   4315: /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
                   4316: /* #ifdef DEBUGHESSIJ */
                   4317: /*       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); */
                   4318: /*       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); */
                   4319: /* #endif */
                   4320: /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
                   4321: /*     k=kmax; */
                   4322: /*       } */
                   4323: /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
                   4324: /*     k=kmax; l=lmax*10; */
                   4325: /*       } */
                   4326: /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
                   4327: /*     delts=delt; */
                   4328: /*       } */
                   4329: /*     } /\* End loop k *\/ */
                   4330: /*   } */
                   4331: /*   delti[theta]=delts; */
                   4332: /*   return res;  */
                   4333: /* } */
                   4334: 
                   4335: 
1.126     brouard  4336: /************** Inverse of matrix **************/
                   4337: void ludcmp(double **a, int n, int *indx, double *d) 
                   4338: { 
                   4339:   int i,imax,j,k; 
                   4340:   double big,dum,sum,temp; 
                   4341:   double *vv; 
                   4342:  
                   4343:   vv=vector(1,n); 
                   4344:   *d=1.0; 
                   4345:   for (i=1;i<=n;i++) { 
                   4346:     big=0.0; 
                   4347:     for (j=1;j<=n;j++) 
                   4348:       if ((temp=fabs(a[i][j])) > big) big=temp; 
1.256     brouard  4349:     if (big == 0.0){
                   4350:       printf(" Singular Hessian matrix at row %d:\n",i);
                   4351:       for (j=1;j<=n;j++) {
                   4352:        printf(" a[%d][%d]=%f,",i,j,a[i][j]);
                   4353:        fprintf(ficlog," a[%d][%d]=%f,",i,j,a[i][j]);
                   4354:       }
                   4355:       fflush(ficlog);
                   4356:       fclose(ficlog);
                   4357:       nrerror("Singular matrix in routine ludcmp"); 
                   4358:     }
1.126     brouard  4359:     vv[i]=1.0/big; 
                   4360:   } 
                   4361:   for (j=1;j<=n;j++) { 
                   4362:     for (i=1;i<j;i++) { 
                   4363:       sum=a[i][j]; 
                   4364:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   4365:       a[i][j]=sum; 
                   4366:     } 
                   4367:     big=0.0; 
                   4368:     for (i=j;i<=n;i++) { 
                   4369:       sum=a[i][j]; 
                   4370:       for (k=1;k<j;k++) 
                   4371:        sum -= a[i][k]*a[k][j]; 
                   4372:       a[i][j]=sum; 
                   4373:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   4374:        big=dum; 
                   4375:        imax=i; 
                   4376:       } 
                   4377:     } 
                   4378:     if (j != imax) { 
                   4379:       for (k=1;k<=n;k++) { 
                   4380:        dum=a[imax][k]; 
                   4381:        a[imax][k]=a[j][k]; 
                   4382:        a[j][k]=dum; 
                   4383:       } 
                   4384:       *d = -(*d); 
                   4385:       vv[imax]=vv[j]; 
                   4386:     } 
                   4387:     indx[j]=imax; 
                   4388:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   4389:     if (j != n) { 
                   4390:       dum=1.0/(a[j][j]); 
                   4391:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   4392:     } 
                   4393:   } 
                   4394:   free_vector(vv,1,n);  /* Doesn't work */
                   4395: ;
                   4396: } 
                   4397: 
                   4398: void lubksb(double **a, int n, int *indx, double b[]) 
                   4399: { 
                   4400:   int i,ii=0,ip,j; 
                   4401:   double sum; 
                   4402:  
                   4403:   for (i=1;i<=n;i++) { 
                   4404:     ip=indx[i]; 
                   4405:     sum=b[ip]; 
                   4406:     b[ip]=b[i]; 
                   4407:     if (ii) 
                   4408:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   4409:     else if (sum) ii=i; 
                   4410:     b[i]=sum; 
                   4411:   } 
                   4412:   for (i=n;i>=1;i--) { 
                   4413:     sum=b[i]; 
                   4414:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   4415:     b[i]=sum/a[i][i]; 
                   4416:   } 
                   4417: } 
                   4418: 
                   4419: void pstamp(FILE *fichier)
                   4420: {
1.196     brouard  4421:   fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
1.126     brouard  4422: }
                   4423: 
1.297   ! brouard  4424: void date2dmy(double date,double *day, double *month, double *year){
        !          4425:   double yp=0., yp1=0., yp2=0.;
        !          4426:   
        !          4427:   yp1=modf(date,&yp);/* extracts integral of date in yp  and
        !          4428:                        fractional in yp1 */
        !          4429:   *year=yp;
        !          4430:   yp2=modf((yp1*12),&yp);
        !          4431:   *month=yp;
        !          4432:   yp1=modf((yp2*30.5),&yp);
        !          4433:   *day=yp;
        !          4434:   if(*day==0) *day=1;
        !          4435:   if(*month==0) *month=1;
        !          4436: }
        !          4437: 
1.253     brouard  4438: 
                   4439: 
1.126     brouard  4440: /************ Frequencies ********************/
1.251     brouard  4441: void  freqsummary(char fileres[], double p[], double pstart[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, \
1.226     brouard  4442:                  int *Tvaraff, int *invalidvarcomb, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[], \
                   4443:                  int firstpass,  int lastpass, int stepm, int weightopt, char model[])
1.250     brouard  4444: {  /* Some frequencies as well as proposing some starting values */
1.226     brouard  4445:   
1.265     brouard  4446:   int i, m, jk, j1, bool, z1,j, nj, nl, k, iv, jj=0, s1=1, s2=1;
1.226     brouard  4447:   int iind=0, iage=0;
                   4448:   int mi; /* Effective wave */
                   4449:   int first;
                   4450:   double ***freq; /* Frequencies */
1.268     brouard  4451:   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 */
                   4452:   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  4453:   double *meanq, *stdq, *idq;
1.226     brouard  4454:   double **meanqt;
                   4455:   double *pp, **prop, *posprop, *pospropt;
                   4456:   double pos=0., posproptt=0., pospropta=0., k2, dateintsum=0,k2cpt=0;
                   4457:   char fileresp[FILENAMELENGTH], fileresphtm[FILENAMELENGTH], fileresphtmfr[FILENAMELENGTH];
                   4458:   double agebegin, ageend;
                   4459:     
                   4460:   pp=vector(1,nlstate);
1.251     brouard  4461:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+4+AGEMARGE); 
1.226     brouard  4462:   posprop=vector(1,nlstate); /* Counting the number of transition starting from a live state per age */ 
                   4463:   pospropt=vector(1,nlstate); /* Counting the number of transition starting from a live state */ 
                   4464:   /* prop=matrix(1,nlstate,iagemin,iagemax+3); */
                   4465:   meanq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.284     brouard  4466:   stdq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.283     brouard  4467:   idq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.226     brouard  4468:   meanqt=matrix(1,lastpass,1,nqtveff);
                   4469:   strcpy(fileresp,"P_");
                   4470:   strcat(fileresp,fileresu);
                   4471:   /*strcat(fileresphtm,fileresu);*/
                   4472:   if((ficresp=fopen(fileresp,"w"))==NULL) {
                   4473:     printf("Problem with prevalence resultfile: %s\n", fileresp);
                   4474:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
                   4475:     exit(0);
                   4476:   }
1.240     brouard  4477:   
1.226     brouard  4478:   strcpy(fileresphtm,subdirfext(optionfilefiname,"PHTM_",".htm"));
                   4479:   if((ficresphtm=fopen(fileresphtm,"w"))==NULL) {
                   4480:     printf("Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   4481:     fprintf(ficlog,"Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   4482:     fflush(ficlog);
                   4483:     exit(70); 
                   4484:   }
                   4485:   else{
                   4486:     fprintf(ficresphtm,"<html><head>\n<title>IMaCh PHTM_ %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
1.240     brouard  4487: <hr size=\"2\" color=\"#EC5E5E\"> \n                                   \
1.214     brouard  4488: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  4489:            fileresphtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   4490:   }
1.237     brouard  4491:   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  4492:   
1.226     brouard  4493:   strcpy(fileresphtmfr,subdirfext(optionfilefiname,"PHTMFR_",".htm"));
                   4494:   if((ficresphtmfr=fopen(fileresphtmfr,"w"))==NULL) {
                   4495:     printf("Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   4496:     fprintf(ficlog,"Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   4497:     fflush(ficlog);
                   4498:     exit(70); 
1.240     brouard  4499:   } else{
1.226     brouard  4500:     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  4501: <hr size=\"2\" color=\"#EC5E5E\"> \n                                   \
1.214     brouard  4502: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  4503:            fileresphtmfr,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   4504:   }
1.240     brouard  4505:   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);
                   4506:   
1.253     brouard  4507:   y= vector(iagemin-AGEMARGE,iagemax+4+AGEMARGE);
                   4508:   x= vector(iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.251     brouard  4509:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.226     brouard  4510:   j1=0;
1.126     brouard  4511:   
1.227     brouard  4512:   /* j=ncoveff;  /\* Only fixed dummy covariates *\/ */
                   4513:   j=cptcoveff;  /* Only dummy covariates of the model */
1.226     brouard  4514:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.240     brouard  4515:   
                   4516:   
1.226     brouard  4517:   /* Detects if a combination j1 is empty: for a multinomial variable like 3 education levels:
                   4518:      reference=low_education V1=0,V2=0
                   4519:      med_educ                V1=1 V2=0, 
                   4520:      high_educ               V1=0 V2=1
                   4521:      Then V1=1 and V2=1 is a noisy combination that we want to exclude for the list 2**cptcoveff 
                   4522:   */
1.249     brouard  4523:   dateintsum=0;
                   4524:   k2cpt=0;
                   4525: 
1.253     brouard  4526:   if(cptcoveff == 0 )
1.265     brouard  4527:     nl=1;  /* Constant and age model only */
1.253     brouard  4528:   else
                   4529:     nl=2;
1.265     brouard  4530: 
                   4531:   /* if a constant only model, one pass to compute frequency tables and to write it on ficresp */
                   4532:   /* Loop on nj=1 or 2 if dummy covariates j!=0
                   4533:    *   Loop on j1(1 to 2**cptcoveff) covariate combination
                   4534:    *     freq[s1][s2][iage] =0.
                   4535:    *     Loop on iind
                   4536:    *       ++freq[s1][s2][iage] weighted
                   4537:    *     end iind
                   4538:    *     if covariate and j!0
                   4539:    *       headers Variable on one line
                   4540:    *     endif cov j!=0
                   4541:    *     header of frequency table by age
                   4542:    *     Loop on age
                   4543:    *       pp[s1]+=freq[s1][s2][iage] weighted
                   4544:    *       pos+=freq[s1][s2][iage] weighted
                   4545:    *       Loop on s1 initial state
                   4546:    *         fprintf(ficresp
                   4547:    *       end s1
                   4548:    *     end age
                   4549:    *     if j!=0 computes starting values
                   4550:    *     end compute starting values
                   4551:    *   end j1
                   4552:    * end nl 
                   4553:    */
1.253     brouard  4554:   for (nj = 1; nj <= nl; nj++){   /* nj= 1 constant model, nl number of loops. */
                   4555:     if(nj==1)
                   4556:       j=0;  /* First pass for the constant */
1.265     brouard  4557:     else{
1.253     brouard  4558:       j=cptcoveff; /* Other passes for the covariate values */
1.265     brouard  4559:     }
1.251     brouard  4560:     first=1;
1.265     brouard  4561:     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  4562:       posproptt=0.;
                   4563:       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
                   4564:        scanf("%d", i);*/
                   4565:       for (i=-5; i<=nlstate+ndeath; i++)  
1.265     brouard  4566:        for (s2=-5; s2<=nlstate+ndeath; s2++)  
1.251     brouard  4567:          for(m=iagemin; m <= iagemax+3; m++)
1.265     brouard  4568:            freq[i][s2][m]=0;
1.251     brouard  4569:       
                   4570:       for (i=1; i<=nlstate; i++)  {
1.240     brouard  4571:        for(m=iagemin; m <= iagemax+3; m++)
1.251     brouard  4572:          prop[i][m]=0;
                   4573:        posprop[i]=0;
                   4574:        pospropt[i]=0;
                   4575:       }
1.283     brouard  4576:       for (z1=1; z1<= nqfveff; z1++) { /* zeroing for each combination j1 as well as for the total */
1.284     brouard  4577:         idq[z1]=0.;
                   4578:         meanq[z1]=0.;
                   4579:         stdq[z1]=0.;
1.283     brouard  4580:       }
                   4581:       /* for (z1=1; z1<= nqtveff; z1++) { */
1.251     brouard  4582:       /*   for(m=1;m<=lastpass;m++){ */
1.283     brouard  4583:       /*         meanqt[m][z1]=0.; */
                   4584:       /*       } */
                   4585:       /* }       */
1.251     brouard  4586:       /* dateintsum=0; */
                   4587:       /* k2cpt=0; */
                   4588:       
1.265     brouard  4589:       /* For that combination of covariates j1 (V4=1 V3=0 for example), we count and print the frequencies in one pass */
1.251     brouard  4590:       for (iind=1; iind<=imx; iind++) { /* For each individual iind */
                   4591:        bool=1;
                   4592:        if(j !=0){
                   4593:          if(anyvaryingduminmodel==0){ /* If All fixed covariates */
                   4594:            if (cptcoveff >0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
                   4595:              for (z1=1; z1<=cptcoveff; z1++) { /* loops on covariates in the model */
                   4596:                /* if(Tvaraff[z1] ==-20){ */
                   4597:                /*       /\* sumnew+=cotvar[mw[mi][iind]][z1][iind]; *\/ */
                   4598:                /* }else  if(Tvaraff[z1] ==-10){ */
                   4599:                /*       /\* sumnew+=coqvar[z1][iind]; *\/ */
                   4600:                /* }else  */
                   4601:                if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){ /* for combination j1 of covariates */
1.265     brouard  4602:                  /* Tests if the value of the covariate z1 for this individual iind responded to combination j1 (V4=1 V3=0) */
1.251     brouard  4603:                  bool=0; /* bool should be equal to 1 to be selected, one covariate value failed */
                   4604:                  /* 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", 
                   4605:                     bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
                   4606:                     j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
                   4607:                  /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
                   4608:                } /* Onlyf fixed */
                   4609:              } /* end z1 */
                   4610:            } /* cptcovn > 0 */
                   4611:          } /* end any */
                   4612:        }/* end j==0 */
1.265     brouard  4613:        if (bool==1){ /* We selected an individual iind satisfying combination j1 (V4=1 V3=0) or all fixed covariates */
1.251     brouard  4614:          /* for(m=firstpass; m<=lastpass; m++){ */
1.284     brouard  4615:          for(mi=1; mi<wav[iind];mi++){ /* For each wave */
1.251     brouard  4616:            m=mw[mi][iind];
                   4617:            if(j!=0){
                   4618:              if(anyvaryingduminmodel==1){ /* Some are varying covariates */
                   4619:                for (z1=1; z1<=cptcoveff; z1++) {
                   4620:                  if( Fixed[Tmodelind[z1]]==1){
                   4621:                    iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   4622:                    if (cotvar[m][iv][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality. If covariate's 
                   4623:                                                                                      value is -1, we don't select. It differs from the 
                   4624:                                                                                      constant and age model which counts them. */
                   4625:                      bool=0; /* not selected */
                   4626:                  }else if( Fixed[Tmodelind[z1]]== 0) { /* fixed */
                   4627:                    if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   4628:                      bool=0;
                   4629:                    }
                   4630:                  }
                   4631:                }
                   4632:              }/* Some are varying covariates, we tried to speed up if all fixed covariates in the model, avoiding waves loop  */
                   4633:            } /* end j==0 */
                   4634:            /* bool =0 we keep that guy which corresponds to the combination of dummy values */
1.284     brouard  4635:            if(bool==1){ /*Selected */
1.251     brouard  4636:              /* dh[m][iind] or dh[mw[mi][iind]][iind] is the delay between two effective (mi) waves m=mw[mi][iind]
                   4637:                 and mw[mi+1][iind]. dh depends on stepm. */
                   4638:              agebegin=agev[m][iind]; /* Age at beginning of wave before transition*/
                   4639:              ageend=agev[m][iind]+(dh[m][iind])*stepm/YEARM; /* Age at end of wave and transition */
                   4640:              if(m >=firstpass && m <=lastpass){
                   4641:                k2=anint[m][iind]+(mint[m][iind]/12.);
                   4642:                /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   4643:                if(agev[m][iind]==0) agev[m][iind]=iagemax+1;  /* All ages equal to 0 are in iagemax+1 */
                   4644:                if(agev[m][iind]==1) agev[m][iind]=iagemax+2;  /* All ages equal to 1 are in iagemax+2 */
                   4645:                if (s[m][iind]>0 && s[m][iind]<=nlstate)  /* If status at wave m is known and a live state */
                   4646:                  prop[s[m][iind]][(int)agev[m][iind]] += weight[iind];  /* At age of beginning of transition, where status is known */
                   4647:                if (m<lastpass) {
                   4648:                  /* if(s[m][iind]==4 && s[m+1][iind]==4) */
                   4649:                  /*   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]); */
                   4650:                  if(s[m][iind]==-1)
                   4651:                    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.));
                   4652:                  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  4653:                  for (z1=1; z1<= nqfveff; z1++) { /* Quantitative variables, calculating mean */
                   4654:                    idq[z1]=idq[z1]+weight[iind];
                   4655:                    meanq[z1]+=covar[ncovcol+z1][iind]*weight[iind];  /* Computes mean of quantitative with selected filter */
                   4656:                    stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]*weight[iind]; /* *weight[iind];*/  /* Computes mean of quantitative with selected filter */
                   4657:                  }
1.251     brouard  4658:                  /* if((int)agev[m][iind] == 55) */
                   4659:                  /*   printf("j=%d, j1=%d Age %d, iind=%d, num=%09ld m=%d\n",j,j1,(int)agev[m][iind],iind, num[iind],m); */
                   4660:                  /* freq[s[m][iind]][s[m+1][iind]][(int)((agebegin+ageend)/2.)] += weight[iind]; */
                   4661:                  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  4662:                }
1.251     brouard  4663:              } /* end if between passes */  
                   4664:              if ((agev[m][iind]>1) && (agev[m][iind]< (iagemax+3)) && (anint[m][iind]!=9999) && (mint[m][iind]!=99) && (j==0)) {
                   4665:                dateintsum=dateintsum+k2; /* on all covariates ?*/
                   4666:                k2cpt++;
                   4667:                /* printf("iind=%ld dateintmean = %lf dateintsum=%lf k2cpt=%lf k2=%lf\n",iind, dateintsum/k2cpt, dateintsum,k2cpt, k2); */
1.234     brouard  4668:              }
1.251     brouard  4669:            }else{
                   4670:              bool=1;
                   4671:            }/* end bool 2 */
                   4672:          } /* end m */
1.284     brouard  4673:          /* for (z1=1; z1<= nqfveff; z1++) { /\* Quantitative variables, calculating mean *\/ */
                   4674:          /*   idq[z1]=idq[z1]+weight[iind]; */
                   4675:          /*   meanq[z1]+=covar[ncovcol+z1][iind]*weight[iind];  /\* Computes mean of quantitative with selected filter *\/ */
                   4676:          /*   stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]*weight[iind]; /\* *weight[iind];*\/  /\* Computes mean of quantitative with selected filter *\/ */
                   4677:          /* } */
1.251     brouard  4678:        } /* end bool */
                   4679:       } /* end iind = 1 to imx */
                   4680:       /* prop[s][age] is feeded for any initial and valid live state as well as
                   4681:         freq[s1][s2][age] at single age of beginning the transition, for a combination j1 */
                   4682:       
                   4683:       
                   4684:       /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
1.265     brouard  4685:       if(cptcoveff==0 && nj==1) /* no covariate and first pass */
                   4686:         pstamp(ficresp);
1.251     brouard  4687:       if  (cptcoveff>0 && j!=0){
1.265     brouard  4688:         pstamp(ficresp);
1.251     brouard  4689:        printf( "\n#********** Variable "); 
                   4690:        fprintf(ficresp, "\n#********** Variable "); 
                   4691:        fprintf(ficresphtm, "\n<br/><br/><h3>********** Variable "); 
                   4692:        fprintf(ficresphtmfr, "\n<br/><br/><h3>********** Variable "); 
                   4693:        fprintf(ficlog, "\n#********** Variable "); 
                   4694:        for (z1=1; z1<=cptcoveff; z1++){
                   4695:          if(!FixedV[Tvaraff[z1]]){
                   4696:            printf( "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4697:            fprintf(ficresp, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4698:            fprintf(ficresphtm, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4699:            fprintf(ficresphtmfr, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4700:            fprintf(ficlog, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.250     brouard  4701:          }else{
1.251     brouard  4702:            printf( "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4703:            fprintf(ficresp, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4704:            fprintf(ficresphtm, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4705:            fprintf(ficresphtmfr, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4706:            fprintf(ficlog, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4707:          }
                   4708:        }
                   4709:        printf( "**********\n#");
                   4710:        fprintf(ficresp, "**********\n#");
                   4711:        fprintf(ficresphtm, "**********</h3>\n");
                   4712:        fprintf(ficresphtmfr, "**********</h3>\n");
                   4713:        fprintf(ficlog, "**********\n");
                   4714:       }
1.284     brouard  4715:       /*
                   4716:        Printing means of quantitative variables if any
                   4717:       */
                   4718:       for (z1=1; z1<= nqfveff; z1++) {
1.285     brouard  4719:        fprintf(ficlog,"Mean of fixed quantitative variable V%d on %.0f individuals sum=%f", ncovcol+z1, idq[z1], meanq[z1]);
1.284     brouard  4720:        fprintf(ficlog,", mean=%.3g\n",meanq[z1]/idq[z1]);
                   4721:        if(weightopt==1){
                   4722:          printf(" Weighted mean and standard deviation of");
                   4723:          fprintf(ficlog," Weighted mean and standard deviation of");
                   4724:          fprintf(ficresphtmfr," Weighted mean and standard deviation of");
                   4725:        }
1.285     brouard  4726:        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]));
                   4727:        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]));
                   4728:        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  4729:       }
                   4730:       /* for (z1=1; z1<= nqtveff; z1++) { */
                   4731:       /*       for(m=1;m<=lastpass;m++){ */
                   4732:       /*         fprintf(ficresphtmfr,"V quantitative id %d, pass id=%d, mean=%f<p>\n", z1, m, meanqt[m][z1]); */
                   4733:       /*   } */
                   4734:       /* } */
1.283     brouard  4735: 
1.251     brouard  4736:       fprintf(ficresphtm,"<table style=\"text-align:center; border: 1px solid\">");
1.265     brouard  4737:       if((cptcoveff==0 && nj==1)|| nj==2 ) /* no covariate and first pass */
                   4738:         fprintf(ficresp, " Age");
                   4739:       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  4740:       for(i=1; i<=nlstate;i++) {
1.265     brouard  4741:        if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp," Prev(%d)  N(%d)  N  ",i,i);
1.251     brouard  4742:        fprintf(ficresphtm, "<th>Age</th><th>Prev(%d)</th><th>N(%d)</th><th>N</th>",i,i);
                   4743:       }
1.265     brouard  4744:       if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp, "\n");
1.251     brouard  4745:       fprintf(ficresphtm, "\n");
                   4746:       
                   4747:       /* Header of frequency table by age */
                   4748:       fprintf(ficresphtmfr,"<table style=\"text-align:center; border: 1px solid\">");
                   4749:       fprintf(ficresphtmfr,"<th>Age</th> ");
1.265     brouard  4750:       for(s2=-1; s2 <=nlstate+ndeath; s2++){
1.251     brouard  4751:        for(m=-1; m <=nlstate+ndeath; m++){
1.265     brouard  4752:          if(s2!=0 && m!=0)
                   4753:            fprintf(ficresphtmfr,"<th>%d%d</th> ",s2,m);
1.240     brouard  4754:        }
1.226     brouard  4755:       }
1.251     brouard  4756:       fprintf(ficresphtmfr, "\n");
                   4757:     
                   4758:       /* For each age */
                   4759:       for(iage=iagemin; iage <= iagemax+3; iage++){
                   4760:        fprintf(ficresphtm,"<tr>");
                   4761:        if(iage==iagemax+1){
                   4762:          fprintf(ficlog,"1");
                   4763:          fprintf(ficresphtmfr,"<tr><th>0</th> ");
                   4764:        }else if(iage==iagemax+2){
                   4765:          fprintf(ficlog,"0");
                   4766:          fprintf(ficresphtmfr,"<tr><th>Unknown</th> ");
                   4767:        }else if(iage==iagemax+3){
                   4768:          fprintf(ficlog,"Total");
                   4769:          fprintf(ficresphtmfr,"<tr><th>Total</th> ");
                   4770:        }else{
1.240     brouard  4771:          if(first==1){
1.251     brouard  4772:            first=0;
                   4773:            printf("See log file for details...\n");
                   4774:          }
                   4775:          fprintf(ficresphtmfr,"<tr><th>%d</th> ",iage);
                   4776:          fprintf(ficlog,"Age %d", iage);
                   4777:        }
1.265     brouard  4778:        for(s1=1; s1 <=nlstate ; s1++){
                   4779:          for(m=-1, pp[s1]=0; m <=nlstate+ndeath ; m++)
                   4780:            pp[s1] += freq[s1][m][iage]; 
1.251     brouard  4781:        }
1.265     brouard  4782:        for(s1=1; s1 <=nlstate ; s1++){
1.251     brouard  4783:          for(m=-1, pos=0; m <=0 ; m++)
1.265     brouard  4784:            pos += freq[s1][m][iage];
                   4785:          if(pp[s1]>=1.e-10){
1.251     brouard  4786:            if(first==1){
1.265     brouard  4787:              printf(" %d.=%.0f loss[%d]=%.1f%%",s1,pp[s1],s1,100*pos/pp[s1]);
1.251     brouard  4788:            }
1.265     brouard  4789:            fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",s1,pp[s1],s1,100*pos/pp[s1]);
1.251     brouard  4790:          }else{
                   4791:            if(first==1)
1.265     brouard  4792:              printf(" %d.=%.0f loss[%d]=NaNQ%%",s1,pp[s1],s1);
                   4793:            fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",s1,pp[s1],s1);
1.240     brouard  4794:          }
                   4795:        }
                   4796:       
1.265     brouard  4797:        for(s1=1; s1 <=nlstate ; s1++){ 
                   4798:          /* posprop[s1]=0; */
                   4799:          for(m=0, pp[s1]=0; m <=nlstate+ndeath; m++)/* Summing on all ages */
                   4800:            pp[s1] += freq[s1][m][iage];
                   4801:        }       /* pp[s1] is the total number of transitions starting from state s1 and any ending status until this age */
                   4802:       
                   4803:        for(s1=1,pos=0, pospropta=0.; s1 <=nlstate ; s1++){
                   4804:          pos += pp[s1]; /* pos is the total number of transitions until this age */
                   4805:          posprop[s1] += prop[s1][iage]; /* prop is the number of transitions from a live state
                   4806:                                            from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4807:          pospropta += prop[s1][iage]; /* prop is the number of transitions from a live state
                   4808:                                          from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4809:        }
                   4810:        
                   4811:        /* Writing ficresp */
                   4812:        if(cptcoveff==0 && nj==1){ /* no covariate and first pass */
                   4813:           if( iage <= iagemax){
                   4814:            fprintf(ficresp," %d",iage);
                   4815:           }
                   4816:         }else if( nj==2){
                   4817:           if( iage <= iagemax){
                   4818:            fprintf(ficresp," %d",iage);
                   4819:             for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, " %d %d",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4820:           }
1.240     brouard  4821:        }
1.265     brouard  4822:        for(s1=1; s1 <=nlstate ; s1++){
1.240     brouard  4823:          if(pos>=1.e-5){
1.251     brouard  4824:            if(first==1)
1.265     brouard  4825:              printf(" %d.=%.0f prev[%d]=%.1f%%",s1,pp[s1],s1,100*pp[s1]/pos);
                   4826:            fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",s1,pp[s1],s1,100*pp[s1]/pos);
1.251     brouard  4827:          }else{
                   4828:            if(first==1)
1.265     brouard  4829:              printf(" %d.=%.0f prev[%d]=NaNQ%%",s1,pp[s1],s1);
                   4830:            fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",s1,pp[s1],s1);
1.251     brouard  4831:          }
                   4832:          if( iage <= iagemax){
                   4833:            if(pos>=1.e-5){
1.265     brouard  4834:              if(cptcoveff==0 && nj==1){ /* no covariate and first pass */
                   4835:                fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   4836:               }else if( nj==2){
                   4837:                fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   4838:               }
                   4839:              fprintf(ficresphtm,"<th>%d</th><td>%.5f</td><td>%.0f</td><td>%.0f</td>",iage,prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   4840:              /*probs[iage][s1][j1]= pp[s1]/pos;*/
                   4841:              /*printf("\niage=%d s1=%d j1=%d %.5f %.0f %.0f %f",iage,s1,j1,pp[s1]/pos, pp[s1],pos,probs[iage][s1][j1]);*/
                   4842:            } else{
                   4843:              if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp," NaNq %.0f %.0f",prop[s1][iage],pospropta);
                   4844:              fprintf(ficresphtm,"<th>%d</th><td>NaNq</td><td>%.0f</td><td>%.0f</td>",iage, prop[s1][iage],pospropta);
1.251     brouard  4845:            }
1.240     brouard  4846:          }
1.265     brouard  4847:          pospropt[s1] +=posprop[s1];
                   4848:        } /* end loop s1 */
1.251     brouard  4849:        /* pospropt=0.; */
1.265     brouard  4850:        for(s1=-1; s1 <=nlstate+ndeath; s1++){
1.251     brouard  4851:          for(m=-1; m <=nlstate+ndeath; m++){
1.265     brouard  4852:            if(freq[s1][m][iage] !=0 ) { /* minimizing output */
1.251     brouard  4853:              if(first==1){
1.265     brouard  4854:                printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]);
1.251     brouard  4855:              }
1.265     brouard  4856:              /* printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]); */
                   4857:              fprintf(ficlog," %d%d=%.0f",s1,m,freq[s1][m][iage]);
1.251     brouard  4858:            }
1.265     brouard  4859:            if(s1!=0 && m!=0)
                   4860:              fprintf(ficresphtmfr,"<td>%.0f</td> ",freq[s1][m][iage]);
1.240     brouard  4861:          }
1.265     brouard  4862:        } /* end loop s1 */
1.251     brouard  4863:        posproptt=0.; 
1.265     brouard  4864:        for(s1=1; s1 <=nlstate; s1++){
                   4865:          posproptt += pospropt[s1];
1.251     brouard  4866:        }
                   4867:        fprintf(ficresphtmfr,"</tr>\n ");
1.265     brouard  4868:        fprintf(ficresphtm,"</tr>\n");
                   4869:        if((cptcoveff==0 && nj==1)|| nj==2 ) {
                   4870:          if(iage <= iagemax)
                   4871:            fprintf(ficresp,"\n");
1.240     brouard  4872:        }
1.251     brouard  4873:        if(first==1)
                   4874:          printf("Others in log...\n");
                   4875:        fprintf(ficlog,"\n");
                   4876:       } /* end loop age iage */
1.265     brouard  4877:       
1.251     brouard  4878:       fprintf(ficresphtm,"<tr><th>Tot</th>");
1.265     brouard  4879:       for(s1=1; s1 <=nlstate ; s1++){
1.251     brouard  4880:        if(posproptt < 1.e-5){
1.265     brouard  4881:          fprintf(ficresphtm,"<td>Nanq</td><td>%.0f</td><td>%.0f</td>",pospropt[s1],posproptt); 
1.251     brouard  4882:        }else{
1.265     brouard  4883:          fprintf(ficresphtm,"<td>%.5f</td><td>%.0f</td><td>%.0f</td>",pospropt[s1]/posproptt,pospropt[s1],posproptt);  
1.240     brouard  4884:        }
1.226     brouard  4885:       }
1.251     brouard  4886:       fprintf(ficresphtm,"</tr>\n");
                   4887:       fprintf(ficresphtm,"</table>\n");
                   4888:       fprintf(ficresphtmfr,"</table>\n");
1.226     brouard  4889:       if(posproptt < 1.e-5){
1.251     brouard  4890:        fprintf(ficresphtm,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
                   4891:        fprintf(ficresphtmfr,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
1.260     brouard  4892:        fprintf(ficlog,"#  This combination (%d) is not valid and no result will be produced\n",j1);
                   4893:        printf("#  This combination (%d) is not valid and no result will be produced\n",j1);
1.251     brouard  4894:        invalidvarcomb[j1]=1;
1.226     brouard  4895:       }else{
1.251     brouard  4896:        fprintf(ficresphtm,"\n <p> This combination (%d) is valid and result will be produced.</p>",j1);
                   4897:        invalidvarcomb[j1]=0;
1.226     brouard  4898:       }
1.251     brouard  4899:       fprintf(ficresphtmfr,"</table>\n");
                   4900:       fprintf(ficlog,"\n");
                   4901:       if(j!=0){
                   4902:        printf("#Freqsummary: Starting values for combination j1=%d:\n", j1);
1.265     brouard  4903:        for(i=1,s1=1; i <=nlstate; i++){
1.251     brouard  4904:          for(k=1; k <=(nlstate+ndeath); k++){
                   4905:            if (k != i) {
1.265     brouard  4906:              for(jj=1; jj <=ncovmodel; jj++){ /* For counting s1 */
1.253     brouard  4907:                if(jj==1){  /* Constant case (in fact cste + age) */
1.251     brouard  4908:                  if(j1==1){ /* All dummy covariates to zero */
                   4909:                    freq[i][k][iagemax+4]=freq[i][k][iagemax+3]; /* Stores case 0 0 0 */
                   4910:                    freq[i][i][iagemax+4]=freq[i][i][iagemax+3]; /* Stores case 0 0 0 */
1.252     brouard  4911:                    printf("%d%d ",i,k);
                   4912:                    fprintf(ficlog,"%d%d ",i,k);
1.265     brouard  4913:                    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]));
                   4914:                    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]));
                   4915:                    pstart[s1]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]);
1.251     brouard  4916:                  }
1.253     brouard  4917:                }else if((j1==1) && (jj==2 || nagesqr==1)){ /* age or age*age parameter without covariate V4*age (to be done later) */
                   4918:                  for(iage=iagemin; iage <= iagemax+3; iage++){
                   4919:                    x[iage]= (double)iage;
                   4920:                    y[iage]= log(freq[i][k][iage]/freq[i][i][iage]);
1.265     brouard  4921:                    /* 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  4922:                  }
1.268     brouard  4923:                  /* Some are not finite, but linreg will ignore these ages */
                   4924:                  no=0;
1.253     brouard  4925:                  linreg(iagemin,iagemax,&no,x,y,&a,&b,&r, &sa, &sb ); /* y= a+b*x with standard errors */
1.265     brouard  4926:                  pstart[s1]=b;
                   4927:                  pstart[s1-1]=a;
1.252     brouard  4928:                }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 */ 
                   4929:                  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]);
                   4930:                  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  4931:                  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  4932:                  printf("%d%d ",i,k);
                   4933:                  fprintf(ficlog,"%d%d ",i,k);
1.265     brouard  4934:                  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  4935:                }else{ /* Other cases, like quantitative fixed or varying covariates */
                   4936:                  ;
                   4937:                }
                   4938:                /* printf("%12.7f )", param[i][jj][k]); */
                   4939:                /* fprintf(ficlog,"%12.7f )", param[i][jj][k]); */
1.265     brouard  4940:                s1++; 
1.251     brouard  4941:              } /* end jj */
                   4942:            } /* end k!= i */
                   4943:          } /* end k */
1.265     brouard  4944:        } /* end i, s1 */
1.251     brouard  4945:       } /* end j !=0 */
                   4946:     } /* end selected combination of covariate j1 */
                   4947:     if(j==0){ /* We can estimate starting values from the occurences in each case */
                   4948:       printf("#Freqsummary: Starting values for the constants:\n");
                   4949:       fprintf(ficlog,"\n");
1.265     brouard  4950:       for(i=1,s1=1; i <=nlstate; i++){
1.251     brouard  4951:        for(k=1; k <=(nlstate+ndeath); k++){
                   4952:          if (k != i) {
                   4953:            printf("%d%d ",i,k);
                   4954:            fprintf(ficlog,"%d%d ",i,k);
                   4955:            for(jj=1; jj <=ncovmodel; jj++){
1.265     brouard  4956:              pstart[s1]=p[s1]; /* Setting pstart to p values by default */
1.253     brouard  4957:              if(jj==1){ /* Age has to be done */
1.265     brouard  4958:                pstart[s1]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]);
                   4959:                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]));
                   4960:                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  4961:              }
                   4962:              /* printf("%12.7f )", param[i][jj][k]); */
                   4963:              /* fprintf(ficlog,"%12.7f )", param[i][jj][k]); */
1.265     brouard  4964:              s1++; 
1.250     brouard  4965:            }
1.251     brouard  4966:            printf("\n");
                   4967:            fprintf(ficlog,"\n");
1.250     brouard  4968:          }
                   4969:        }
1.284     brouard  4970:       } /* end of state i */
1.251     brouard  4971:       printf("#Freqsummary\n");
                   4972:       fprintf(ficlog,"\n");
1.265     brouard  4973:       for(s1=-1; s1 <=nlstate+ndeath; s1++){
                   4974:        for(s2=-1; s2 <=nlstate+ndeath; s2++){
                   4975:          /* param[i]|j][k]= freq[s1][s2][iagemax+3] */
                   4976:          printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]);
                   4977:          fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]);
                   4978:          /* if(freq[s1][s2][iage] !=0 ) { /\* minimizing output *\/ */
                   4979:          /*   printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); */
                   4980:          /*   fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); */
1.251     brouard  4981:          /* } */
                   4982:        }
1.265     brouard  4983:       } /* end loop s1 */
1.251     brouard  4984:       
                   4985:       printf("\n");
                   4986:       fprintf(ficlog,"\n");
                   4987:     } /* end j=0 */
1.249     brouard  4988:   } /* end j */
1.252     brouard  4989: 
1.253     brouard  4990:   if(mle == -2){  /* We want to use these values as starting values */
1.252     brouard  4991:     for(i=1, jk=1; i <=nlstate; i++){
                   4992:       for(j=1; j <=nlstate+ndeath; j++){
                   4993:        if(j!=i){
                   4994:          /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   4995:          printf("%1d%1d",i,j);
                   4996:          fprintf(ficparo,"%1d%1d",i,j);
                   4997:          for(k=1; k<=ncovmodel;k++){
                   4998:            /*    printf(" %lf",param[i][j][k]); */
                   4999:            /*    fprintf(ficparo," %lf",param[i][j][k]); */
                   5000:            p[jk]=pstart[jk];
                   5001:            printf(" %f ",pstart[jk]);
                   5002:            fprintf(ficparo," %f ",pstart[jk]);
                   5003:            jk++;
                   5004:          }
                   5005:          printf("\n");
                   5006:          fprintf(ficparo,"\n");
                   5007:        }
                   5008:       }
                   5009:     }
                   5010:   } /* end mle=-2 */
1.226     brouard  5011:   dateintmean=dateintsum/k2cpt; 
1.296     brouard  5012:   date2dmy(dateintmean,&jintmean,&mintmean,&aintmean);
1.240     brouard  5013:   
1.226     brouard  5014:   fclose(ficresp);
                   5015:   fclose(ficresphtm);
                   5016:   fclose(ficresphtmfr);
1.283     brouard  5017:   free_vector(idq,1,nqfveff);
1.226     brouard  5018:   free_vector(meanq,1,nqfveff);
1.284     brouard  5019:   free_vector(stdq,1,nqfveff);
1.226     brouard  5020:   free_matrix(meanqt,1,lastpass,1,nqtveff);
1.253     brouard  5021:   free_vector(x, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
                   5022:   free_vector(y, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.251     brouard  5023:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.226     brouard  5024:   free_vector(pospropt,1,nlstate);
                   5025:   free_vector(posprop,1,nlstate);
1.251     brouard  5026:   free_matrix(prop,1,nlstate,iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.226     brouard  5027:   free_vector(pp,1,nlstate);
                   5028:   /* End of freqsummary */
                   5029: }
1.126     brouard  5030: 
1.268     brouard  5031: /* Simple linear regression */
                   5032: int linreg(int ifi, int ila, int *no, const double x[], const double y[], double* a, double* b, double* r, double* sa, double * sb) {
                   5033: 
                   5034:   /* y=a+bx regression */
                   5035:   double   sumx = 0.0;                        /* sum of x                      */
                   5036:   double   sumx2 = 0.0;                       /* sum of x**2                   */
                   5037:   double   sumxy = 0.0;                       /* sum of x * y                  */
                   5038:   double   sumy = 0.0;                        /* sum of y                      */
                   5039:   double   sumy2 = 0.0;                       /* sum of y**2                   */
                   5040:   double   sume2 = 0.0;                       /* sum of square or residuals */
                   5041:   double yhat;
                   5042:   
                   5043:   double denom=0;
                   5044:   int i;
                   5045:   int ne=*no;
                   5046:   
                   5047:   for ( i=ifi, ne=0;i<=ila;i++) {
                   5048:     if(!isfinite(x[i]) || !isfinite(y[i])){
                   5049:       /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */
                   5050:       continue;
                   5051:     }
                   5052:     ne=ne+1;
                   5053:     sumx  += x[i];       
                   5054:     sumx2 += x[i]*x[i];  
                   5055:     sumxy += x[i] * y[i];
                   5056:     sumy  += y[i];      
                   5057:     sumy2 += y[i]*y[i]; 
                   5058:     denom = (ne * sumx2 - sumx*sumx);
                   5059:     /* 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); */
                   5060:   } 
                   5061:   
                   5062:   denom = (ne * sumx2 - sumx*sumx);
                   5063:   if (denom == 0) {
                   5064:     // vertical, slope m is infinity
                   5065:     *b = INFINITY;
                   5066:     *a = 0;
                   5067:     if (r) *r = 0;
                   5068:     return 1;
                   5069:   }
                   5070:   
                   5071:   *b = (ne * sumxy  -  sumx * sumy) / denom;
                   5072:   *a = (sumy * sumx2  -  sumx * sumxy) / denom;
                   5073:   if (r!=NULL) {
                   5074:     *r = (sumxy - sumx * sumy / ne) /          /* compute correlation coeff     */
                   5075:       sqrt((sumx2 - sumx*sumx/ne) *
                   5076:           (sumy2 - sumy*sumy/ne));
                   5077:   }
                   5078:   *no=ne;
                   5079:   for ( i=ifi, ne=0;i<=ila;i++) {
                   5080:     if(!isfinite(x[i]) || !isfinite(y[i])){
                   5081:       /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */
                   5082:       continue;
                   5083:     }
                   5084:     ne=ne+1;
                   5085:     yhat = y[i] - *a -*b* x[i];
                   5086:     sume2  += yhat * yhat ;       
                   5087:     
                   5088:     denom = (ne * sumx2 - sumx*sumx);
                   5089:     /* 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); */
                   5090:   } 
                   5091:   *sb = sqrt(sume2/(double)(ne-2)/(sumx2 - sumx * sumx /(double)ne));
                   5092:   *sa= *sb * sqrt(sumx2/ne);
                   5093:   
                   5094:   return 0; 
                   5095: }
                   5096: 
1.126     brouard  5097: /************ Prevalence ********************/
1.227     brouard  5098: 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)
                   5099: {  
                   5100:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   5101:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   5102:      We still use firstpass and lastpass as another selection.
                   5103:   */
1.126     brouard  5104:  
1.227     brouard  5105:   int i, m, jk, j1, bool, z1,j, iv;
                   5106:   int mi; /* Effective wave */
                   5107:   int iage;
                   5108:   double agebegin, ageend;
                   5109: 
                   5110:   double **prop;
                   5111:   double posprop; 
                   5112:   double  y2; /* in fractional years */
                   5113:   int iagemin, iagemax;
                   5114:   int first; /** to stop verbosity which is redirected to log file */
                   5115: 
                   5116:   iagemin= (int) agemin;
                   5117:   iagemax= (int) agemax;
                   5118:   /*pp=vector(1,nlstate);*/
1.251     brouard  5119:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+4+AGEMARGE); 
1.227     brouard  5120:   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   5121:   j1=0;
1.222     brouard  5122:   
1.227     brouard  5123:   /*j=cptcoveff;*/
                   5124:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.222     brouard  5125:   
1.288     brouard  5126:   first=0;
1.227     brouard  5127:   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ /* For each combination of covariate */
                   5128:     for (i=1; i<=nlstate; i++)  
1.251     brouard  5129:       for(iage=iagemin-AGEMARGE; iage <= iagemax+4+AGEMARGE; iage++)
1.227     brouard  5130:        prop[i][iage]=0.0;
                   5131:     printf("Prevalence combination of varying and fixed dummies %d\n",j1);
                   5132:     /* fprintf(ficlog," V%d=%d ",Tvaraff[j1],nbcode[Tvaraff[j1]][codtabm(k,j1)]); */
                   5133:     fprintf(ficlog,"Prevalence combination of varying and fixed dummies %d\n",j1);
                   5134:     
                   5135:     for (i=1; i<=imx; i++) { /* Each individual */
                   5136:       bool=1;
                   5137:       /* for(m=firstpass; m<=lastpass; m++){/\* Other selection (we can limit to certain interviews*\/ */
                   5138:       for(mi=1; mi<wav[i];mi++){ /* For this wave too look where individual can be counted V4=0 V3=0 */
                   5139:        m=mw[mi][i];
                   5140:        /* Tmodelind[z1]=k is the position of the varying covariate in the model, but which # within 1 to ntv? */
                   5141:        /* Tvar[Tmodelind[z1]] is the n of Vn; n-ncovcol-nqv is the first time varying covariate or iv */
                   5142:        for (z1=1; z1<=cptcoveff; z1++){
                   5143:          if( Fixed[Tmodelind[z1]]==1){
                   5144:            iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   5145:            if (cotvar[m][iv][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality */
                   5146:              bool=0;
                   5147:          }else if( Fixed[Tmodelind[z1]]== 0)  /* fixed */
                   5148:            if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   5149:              bool=0;
                   5150:            }
                   5151:        }
                   5152:        if(bool==1){ /* Otherwise we skip that wave/person */
                   5153:          agebegin=agev[m][i]; /* Age at beginning of wave before transition*/
                   5154:          /* ageend=agev[m][i]+(dh[m][i])*stepm/YEARM; /\* Age at end of wave and transition *\/ */
                   5155:          if(m >=firstpass && m <=lastpass){
                   5156:            y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                   5157:            if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                   5158:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   5159:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
1.251     brouard  5160:              if((int)agev[m][i] <iagemin-AGEMARGE || (int)agev[m][i] >iagemax+4+AGEMARGE){
1.227     brouard  5161:                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); 
                   5162:                exit(1);
                   5163:              }
                   5164:              if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   5165:                /*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]]);*/
                   5166:                prop[s[m][i]][(int)agev[m][i]] += weight[i];/* At age of beginning of transition, where status is known */
                   5167:                prop[s[m][i]][iagemax+3] += weight[i]; 
                   5168:              } /* end valid statuses */ 
                   5169:            } /* end selection of dates */
                   5170:          } /* end selection of waves */
                   5171:        } /* end bool */
                   5172:       } /* end wave */
                   5173:     } /* end individual */
                   5174:     for(i=iagemin; i <= iagemax+3; i++){  
                   5175:       for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
                   5176:        posprop += prop[jk][i]; 
                   5177:       } 
                   5178:       
                   5179:       for(jk=1; jk <=nlstate ; jk++){      
                   5180:        if( i <=  iagemax){ 
                   5181:          if(posprop>=1.e-5){ 
                   5182:            probs[i][jk][j1]= prop[jk][i]/posprop;
                   5183:          } else{
1.288     brouard  5184:            if(!first){
                   5185:              first=1;
1.266     brouard  5186:              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]);
                   5187:            }else{
1.288     brouard  5188:              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  5189:            }
                   5190:          }
                   5191:        } 
                   5192:       }/* end jk */ 
                   5193:     }/* end i */ 
1.222     brouard  5194:      /*} *//* end i1 */
1.227     brouard  5195:   } /* end j1 */
1.222     brouard  5196:   
1.227     brouard  5197:   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   5198:   /*free_vector(pp,1,nlstate);*/
1.251     brouard  5199:   free_matrix(prop,1,nlstate, iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.227     brouard  5200: }  /* End of prevalence */
1.126     brouard  5201: 
                   5202: /************* Waves Concatenation ***************/
                   5203: 
                   5204: 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)
                   5205: {
                   5206:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   5207:      Death is a valid wave (if date is known).
                   5208:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   5209:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   5210:      and mw[mi+1][i]. dh depends on stepm.
1.227     brouard  5211:   */
1.126     brouard  5212: 
1.224     brouard  5213:   int i=0, mi=0, m=0, mli=0;
1.126     brouard  5214:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   5215:      double sum=0., jmean=0.;*/
1.224     brouard  5216:   int first=0, firstwo=0, firsthree=0, firstfour=0, firstfiv=0;
1.126     brouard  5217:   int j, k=0,jk, ju, jl;
                   5218:   double sum=0.;
                   5219:   first=0;
1.214     brouard  5220:   firstwo=0;
1.217     brouard  5221:   firsthree=0;
1.218     brouard  5222:   firstfour=0;
1.164     brouard  5223:   jmin=100000;
1.126     brouard  5224:   jmax=-1;
                   5225:   jmean=0.;
1.224     brouard  5226: 
                   5227: /* Treating live states */
1.214     brouard  5228:   for(i=1; i<=imx; i++){  /* For simple cases and if state is death */
1.224     brouard  5229:     mi=0;  /* First valid wave */
1.227     brouard  5230:     mli=0; /* Last valid wave */
1.126     brouard  5231:     m=firstpass;
1.214     brouard  5232:     while(s[m][i] <= nlstate){  /* a live state */
1.227     brouard  5233:       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 */
                   5234:        mli=m-1;/* mw[++mi][i]=m-1; */
                   5235:       }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 */
                   5236:        mw[++mi][i]=m;
                   5237:        mli=m;
1.224     brouard  5238:       } /* else might be a useless wave  -1 and mi is not incremented and mw[mi] not updated */
                   5239:       if(m < lastpass){ /* m < lastpass, standard case */
1.227     brouard  5240:        m++; /* mi gives the "effective" current wave, m the current wave, go to next wave by incrementing m */
1.216     brouard  5241:       }
1.227     brouard  5242:       else{ /* m >= lastpass, eventual special issue with warning */
1.224     brouard  5243: #ifdef UNKNOWNSTATUSNOTCONTRIBUTING
1.227     brouard  5244:        break;
1.224     brouard  5245: #else
1.227     brouard  5246:        if(s[m][i]==-1 && (int) andc[i] == 9999 && (int)anint[m][i] != 9999){
                   5247:          if(firsthree == 0){
1.262     brouard  5248:            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  5249:            firsthree=1;
                   5250:          }
1.262     brouard  5251:          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  5252:          mw[++mi][i]=m;
                   5253:          mli=m;
                   5254:        }
                   5255:        if(s[m][i]==-2){ /* Vital status is really unknown */
                   5256:          nbwarn++;
                   5257:          if((int)anint[m][i] == 9999){  /*  Has the vital status really been verified? */
                   5258:            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);
                   5259:            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);
                   5260:          }
                   5261:          break;
                   5262:        }
                   5263:        break;
1.224     brouard  5264: #endif
1.227     brouard  5265:       }/* End m >= lastpass */
1.126     brouard  5266:     }/* end while */
1.224     brouard  5267: 
1.227     brouard  5268:     /* 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  5269:     /* After last pass */
1.224     brouard  5270: /* Treating death states */
1.214     brouard  5271:     if (s[m][i] > nlstate){  /* In a death state */
1.227     brouard  5272:       /* if( mint[m][i]==mdc[m][i] && anint[m][i]==andc[m][i]){ /\* same date of death and date of interview *\/ */
                   5273:       /* } */
1.126     brouard  5274:       mi++;    /* Death is another wave */
                   5275:       /* if(mi==0)  never been interviewed correctly before death */
1.227     brouard  5276:       /* Only death is a correct wave */
1.126     brouard  5277:       mw[mi][i]=m;
1.257     brouard  5278:     } /* else not in a death state */
1.224     brouard  5279: #ifndef DISPATCHINGKNOWNDEATHAFTERLASTWAVE
1.257     brouard  5280:     else if ((int) andc[i] != 9999) {  /* Date of death is known */
1.218     brouard  5281:       if ((int)anint[m][i]!= 9999) { /* date of last interview is known */
1.227     brouard  5282:        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 */
                   5283:          nbwarn++;
                   5284:          if(firstfiv==0){
                   5285:            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 );
                   5286:            firstfiv=1;
                   5287:          }else{
                   5288:            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 );
                   5289:          }
                   5290:        }else{ /* Death occured afer last wave potential bias */
                   5291:          nberr++;
                   5292:          if(firstwo==0){
1.257     brouard  5293:            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  5294:            firstwo=1;
                   5295:          }
1.257     brouard  5296:          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  5297:        }
1.257     brouard  5298:       }else{ /* if date of interview is unknown */
1.227     brouard  5299:        /* death is known but not confirmed by death status at any wave */
                   5300:        if(firstfour==0){
                   5301:          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 );
                   5302:          firstfour=1;
                   5303:        }
                   5304:        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  5305:       }
1.224     brouard  5306:     } /* end if date of death is known */
                   5307: #endif
                   5308:     wav[i]=mi; /* mi should be the last effective wave (or mli) */
                   5309:     /* wav[i]=mw[mi][i]; */
1.126     brouard  5310:     if(mi==0){
                   5311:       nbwarn++;
                   5312:       if(first==0){
1.227     brouard  5313:        printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   5314:        first=1;
1.126     brouard  5315:       }
                   5316:       if(first==1){
1.227     brouard  5317:        fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
1.126     brouard  5318:       }
                   5319:     } /* end mi==0 */
                   5320:   } /* End individuals */
1.214     brouard  5321:   /* wav and mw are no more changed */
1.223     brouard  5322:        
1.214     brouard  5323:   
1.126     brouard  5324:   for(i=1; i<=imx; i++){
                   5325:     for(mi=1; mi<wav[i];mi++){
                   5326:       if (stepm <=0)
1.227     brouard  5327:        dh[mi][i]=1;
1.126     brouard  5328:       else{
1.260     brouard  5329:        if (s[mw[mi+1][i]][i] > nlstate) { /* A death, but what if date is unknown? */
1.227     brouard  5330:          if (agedc[i] < 2*AGESUP) {
                   5331:            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   5332:            if(j==0) j=1;  /* Survives at least one month after exam */
                   5333:            else if(j<0){
                   5334:              nberr++;
                   5335:              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]);
                   5336:              j=1; /* Temporary Dangerous patch */
                   5337:              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);
                   5338:              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]);
                   5339:              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);
                   5340:            }
                   5341:            k=k+1;
                   5342:            if (j >= jmax){
                   5343:              jmax=j;
                   5344:              ijmax=i;
                   5345:            }
                   5346:            if (j <= jmin){
                   5347:              jmin=j;
                   5348:              ijmin=i;
                   5349:            }
                   5350:            sum=sum+j;
                   5351:            /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   5352:            /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   5353:          }
                   5354:        }
                   5355:        else{
                   5356:          j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
1.126     brouard  5357: /*       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  5358:                                        
1.227     brouard  5359:          k=k+1;
                   5360:          if (j >= jmax) {
                   5361:            jmax=j;
                   5362:            ijmax=i;
                   5363:          }
                   5364:          else if (j <= jmin){
                   5365:            jmin=j;
                   5366:            ijmin=i;
                   5367:          }
                   5368:          /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   5369:          /*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]);*/
                   5370:          if(j<0){
                   5371:            nberr++;
                   5372:            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]);
                   5373:            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]);
                   5374:          }
                   5375:          sum=sum+j;
                   5376:        }
                   5377:        jk= j/stepm;
                   5378:        jl= j -jk*stepm;
                   5379:        ju= j -(jk+1)*stepm;
                   5380:        if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   5381:          if(jl==0){
                   5382:            dh[mi][i]=jk;
                   5383:            bh[mi][i]=0;
                   5384:          }else{ /* We want a negative bias in order to only have interpolation ie
                   5385:                  * to avoid the price of an extra matrix product in likelihood */
                   5386:            dh[mi][i]=jk+1;
                   5387:            bh[mi][i]=ju;
                   5388:          }
                   5389:        }else{
                   5390:          if(jl <= -ju){
                   5391:            dh[mi][i]=jk;
                   5392:            bh[mi][i]=jl;       /* bias is positive if real duration
                   5393:                                 * is higher than the multiple of stepm and negative otherwise.
                   5394:                                 */
                   5395:          }
                   5396:          else{
                   5397:            dh[mi][i]=jk+1;
                   5398:            bh[mi][i]=ju;
                   5399:          }
                   5400:          if(dh[mi][i]==0){
                   5401:            dh[mi][i]=1; /* At least one step */
                   5402:            bh[mi][i]=ju; /* At least one step */
                   5403:            /*  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);*/
                   5404:          }
                   5405:        } /* end if mle */
1.126     brouard  5406:       }
                   5407:     } /* end wave */
                   5408:   }
                   5409:   jmean=sum/k;
                   5410:   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  5411:   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  5412: }
1.126     brouard  5413: 
                   5414: /*********** Tricode ****************************/
1.220     brouard  5415:  void tricode(int *cptcov, int *Tvar, int **nbcode, int imx, int *Ndum)
1.242     brouard  5416:  {
                   5417:    /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   5418:    /*    Tvar[i]=atoi(stre);  find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1 
                   5419:     * Boring subroutine which should only output nbcode[Tvar[j]][k]
                   5420:     * Tvar[5] in V2+V1+V3*age+V2*V4 is 4 (V4) even it is a time varying or quantitative variable
                   5421:     * nbcode[Tvar[5]][1]= nbcode[4][1]=0, nbcode[4][2]=1 (usually);
                   5422:     */
1.130     brouard  5423: 
1.242     brouard  5424:    int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
                   5425:    int modmaxcovj=0; /* Modality max of covariates j */
                   5426:    int cptcode=0; /* Modality max of covariates j */
                   5427:    int modmincovj=0; /* Modality min of covariates j */
1.145     brouard  5428: 
                   5429: 
1.242     brouard  5430:    /* cptcoveff=0;  */
                   5431:    /* *cptcov=0; */
1.126     brouard  5432:  
1.242     brouard  5433:    for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.285     brouard  5434:    for (k=1; k <= maxncov; k++)
                   5435:      for(j=1; j<=2; j++)
                   5436:        nbcode[k][j]=0; /* Valgrind */
1.126     brouard  5437: 
1.242     brouard  5438:    /* Loop on covariates without age and products and no quantitative variable */
                   5439:    for (k=1; k<=cptcovt; k++) { /* From model V1 + V2*age + V3 + V3*V4 keeps V1 + V3 = 2 only */
                   5440:      for (j=-1; (j < maxncov); j++) Ndum[j]=0;
                   5441:      if(Dummy[k]==0 && Typevar[k] !=1){ /* Dummy covariate and not age product */ 
                   5442:        switch(Fixed[k]) {
                   5443:        case 0: /* Testing on fixed dummy covariate, simple or product of fixed */
                   5444:         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*/
                   5445:           ij=(int)(covar[Tvar[k]][i]);
                   5446:           /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                   5447:            * If product of Vn*Vm, still boolean *:
                   5448:            * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                   5449:            * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
                   5450:           /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
                   5451:              modality of the nth covariate of individual i. */
                   5452:           if (ij > modmaxcovj)
                   5453:             modmaxcovj=ij; 
                   5454:           else if (ij < modmincovj) 
                   5455:             modmincovj=ij; 
1.287     brouard  5456:           if (ij <0 || ij >1 ){
                   5457:             printf("Information, IMaCh doesn't treat covariate with missing values (-1), individual %d will be skipped.\n",i);
                   5458:             fprintf(ficlog,"Information, currently IMaCh doesn't treat covariate with missing values (-1), individual %d will be skipped.\n",i);
                   5459:           }
                   5460:           if ((ij < -1) || (ij > NCOVMAX)){
1.242     brouard  5461:             printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
                   5462:             exit(1);
                   5463:           }else
                   5464:             Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
                   5465:           /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
                   5466:           /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
                   5467:           /* getting the maximum value of the modality of the covariate
                   5468:              (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
                   5469:              female ies 1, then modmaxcovj=1.
                   5470:           */
                   5471:         } /* end for loop on individuals i */
                   5472:         printf(" Minimal and maximal values of %d th (fixed) covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   5473:         fprintf(ficlog," Minimal and maximal values of %d th (fixed) covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   5474:         cptcode=modmaxcovj;
                   5475:         /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
                   5476:         /*for (i=0; i<=cptcode; i++) {*/
                   5477:         for (j=modmincovj;  j<=modmaxcovj; j++) { /* j=-1 ? 0 and 1*//* For each value j of the modality of model-cov k */
                   5478:           printf("Frequencies of (fixed) covariate %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   5479:           fprintf(ficlog, "Frequencies of (fixed) covariate %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   5480:           if( Ndum[j] != 0 ){ /* Counts if nobody answered modality j ie empty modality, we skip it and reorder */
                   5481:             if( j != -1){
                   5482:               ncodemax[k]++;  /* ncodemax[k]= Number of modalities of the k th
                   5483:                                  covariate for which somebody answered excluding 
                   5484:                                  undefined. Usually 2: 0 and 1. */
                   5485:             }
                   5486:             ncodemaxwundef[k]++; /* ncodemax[j]= Number of modalities of the k th
                   5487:                                     covariate for which somebody answered including 
                   5488:                                     undefined. Usually 3: -1, 0 and 1. */
                   5489:           }    /* In fact  ncodemax[k]=2 (dichotom. variables only) but it could be more for
                   5490:                 * historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
                   5491:         } /* Ndum[-1] number of undefined modalities */
1.231     brouard  5492:                        
1.242     brouard  5493:         /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
                   5494:         /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. */
                   5495:         /* If Ndum[1]=0, Ndum[2]=0, Ndum[3]= 635, Ndum[4]=0, Ndum[5]=0, Ndum[6]=27, Ndum[7]=125; */
                   5496:         /* modmincovj=3; modmaxcovj = 7; */
                   5497:         /* There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3; */
                   5498:         /* which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10; */
                   5499:         /*              defining two dummy variables: variables V1_1 and V1_2.*/
                   5500:         /* nbcode[Tvar[j]][ij]=k; */
                   5501:         /* nbcode[Tvar[j]][1]=0; */
                   5502:         /* nbcode[Tvar[j]][2]=1; */
                   5503:         /* nbcode[Tvar[j]][3]=2; */
                   5504:         /* To be continued (not working yet). */
                   5505:         ij=0; /* ij is similar to i but can jump over null modalities */
1.287     brouard  5506: 
                   5507:         /* 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*/
                   5508:         /* Skipping the case of missing values by reducing nbcode to 0 and 1 and not -1, 0, 1 */
                   5509:         /* model=V1+V2+V3, if V2=-1, 0 or 1, then nbcode[2][1]=0 and nbcode[2][2]=1 instead of
                   5510:          * nbcode[2][1]=-1, nbcode[2][2]=0 and nbcode[2][3]=1 */
                   5511:         /*, could be restored in the future */
                   5512:         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  5513:           if (Ndum[i] == 0) { /* If nobody responded to this modality k */
                   5514:             break;
                   5515:           }
                   5516:           ij++;
1.287     brouard  5517:           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  5518:           cptcode = ij; /* New max modality for covar j */
                   5519:         } /* end of loop on modality i=-1 to 1 or more */
                   5520:         break;
                   5521:        case 1: /* Testing on varying covariate, could be simple and
                   5522:                * should look at waves or product of fixed *
                   5523:                * varying. No time to test -1, assuming 0 and 1 only */
                   5524:         ij=0;
                   5525:         for(i=0; i<=1;i++){
                   5526:           nbcode[Tvar[k]][++ij]=i;
                   5527:         }
                   5528:         break;
                   5529:        default:
                   5530:         break;
                   5531:        } /* end switch */
                   5532:      } /* end dummy test */
1.287     brouard  5533:    } /* 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  5534:   
                   5535:    for (k=-1; k< maxncov; k++) Ndum[k]=0; 
                   5536:    /* Look at fixed dummy (single or product) covariates to check empty modalities */
                   5537:    for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
                   5538:      /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
                   5539:      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 */ 
                   5540:      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 */
                   5541:      /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1,  {2, 1, 1, 1, 2, 1, 1, 0, 0} */
                   5542:    } /* V4+V3+V5, Ndum[1]@5={0, 0, 1, 1, 1} */
                   5543:   
                   5544:    ij=0;
                   5545:    /* for (i=0; i<=  maxncov-1; i++) { /\* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) *\/ */
                   5546:    for (k=1; k<=  cptcovt; k++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
                   5547:      /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
                   5548:      /* if((Ndum[i]!=0) && (i<=ncovcol)){  /\* Tvar[i] <= ncovmodel ? *\/ */
                   5549:      if(Ndum[Tvar[k]]!=0 && Dummy[k] == 0 && Typevar[k]==0){  /* Only Dummy and non empty in the model */
                   5550:        /* If product not in single variable we don't print results */
                   5551:        /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
                   5552:        ++ij;/* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, */
                   5553:        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*/
                   5554:        Tmodelind[ij]=k; /* Tmodelind: index in model of dummies Tmodelind[1]=2 V4: pos=2; V3: pos=3, V1=9 {2, 3, 9, ?, ?,} */
                   5555:        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 */
                   5556:        if(Fixed[k]!=0)
                   5557:         anyvaryingduminmodel=1;
                   5558:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv)){ */
                   5559:        /*   Tvaraff[++ij]=-10; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   5560:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv)){ */
                   5561:        /*   Tvaraff[++ij]=i; /\*For printing (unclear) *\/ */
                   5562:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv+nqtv)){ */
                   5563:        /*   Tvaraff[++ij]=-20; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   5564:      } 
                   5565:    } /* Tvaraff[1]@5 {3, 4, -20, 0, 0} Very strange */
                   5566:    /* ij--; */
                   5567:    /* cptcoveff=ij; /\*Number of total covariates*\/ */
                   5568:    *cptcov=ij; /*Number of total real effective covariates: effective
                   5569:                * because they can be excluded from the model and real
                   5570:                * if in the model but excluded because missing values, but how to get k from ij?*/
                   5571:    for(j=ij+1; j<= cptcovt; j++){
                   5572:      Tvaraff[j]=0;
                   5573:      Tmodelind[j]=0;
                   5574:    }
                   5575:    for(j=ntveff+1; j<= cptcovt; j++){
                   5576:      TmodelInvind[j]=0;
                   5577:    }
                   5578:    /* To be sorted */
                   5579:    ;
                   5580:  }
1.126     brouard  5581: 
1.145     brouard  5582: 
1.126     brouard  5583: /*********** Health Expectancies ****************/
                   5584: 
1.235     brouard  5585:  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  5586: 
                   5587: {
                   5588:   /* Health expectancies, no variances */
1.164     brouard  5589:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  5590:   int nhstepma, nstepma; /* Decreasing with age */
                   5591:   double age, agelim, hf;
                   5592:   double ***p3mat;
                   5593:   double eip;
                   5594: 
1.238     brouard  5595:   /* pstamp(ficreseij); */
1.126     brouard  5596:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   5597:   fprintf(ficreseij,"# Age");
                   5598:   for(i=1; i<=nlstate;i++){
                   5599:     for(j=1; j<=nlstate;j++){
                   5600:       fprintf(ficreseij," e%1d%1d ",i,j);
                   5601:     }
                   5602:     fprintf(ficreseij," e%1d. ",i);
                   5603:   }
                   5604:   fprintf(ficreseij,"\n");
                   5605: 
                   5606:   
                   5607:   if(estepm < stepm){
                   5608:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   5609:   }
                   5610:   else  hstepm=estepm;   
                   5611:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   5612:    * This is mainly to measure the difference between two models: for example
                   5613:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   5614:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   5615:    * progression in between and thus overestimating or underestimating according
                   5616:    * to the curvature of the survival function. If, for the same date, we 
                   5617:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   5618:    * to compare the new estimate of Life expectancy with the same linear 
                   5619:    * hypothesis. A more precise result, taking into account a more precise
                   5620:    * curvature will be obtained if estepm is as small as stepm. */
                   5621: 
                   5622:   /* For example we decided to compute the life expectancy with the smallest unit */
                   5623:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5624:      nhstepm is the number of hstepm from age to agelim 
                   5625:      nstepm is the number of stepm from age to agelin. 
1.270     brouard  5626:      Look at hpijx to understand the reason which relies in memory size consideration
1.126     brouard  5627:      and note for a fixed period like estepm months */
                   5628:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   5629:      survival function given by stepm (the optimization length). Unfortunately it
                   5630:      means that if the survival funtion is printed only each two years of age and if
                   5631:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5632:      results. So we changed our mind and took the option of the best precision.
                   5633:   */
                   5634:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5635: 
                   5636:   agelim=AGESUP;
                   5637:   /* If stepm=6 months */
                   5638:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   5639:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   5640:     
                   5641: /* nhstepm age range expressed in number of stepm */
                   5642:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5643:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5644:   /* if (stepm >= YEARM) hstepm=1;*/
                   5645:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5646:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5647: 
                   5648:   for (age=bage; age<=fage; age ++){ 
                   5649:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5650:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5651:     /* if (stepm >= YEARM) hstepm=1;*/
                   5652:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   5653: 
                   5654:     /* If stepm=6 months */
                   5655:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   5656:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   5657:     
1.235     brouard  5658:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij, nres);  
1.126     brouard  5659:     
                   5660:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   5661:     
                   5662:     printf("%d|",(int)age);fflush(stdout);
                   5663:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   5664:     
                   5665:     /* Computing expectancies */
                   5666:     for(i=1; i<=nlstate;i++)
                   5667:       for(j=1; j<=nlstate;j++)
                   5668:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   5669:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   5670:          
                   5671:          /* 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]);*/
                   5672: 
                   5673:        }
                   5674: 
                   5675:     fprintf(ficreseij,"%3.0f",age );
                   5676:     for(i=1; i<=nlstate;i++){
                   5677:       eip=0;
                   5678:       for(j=1; j<=nlstate;j++){
                   5679:        eip +=eij[i][j][(int)age];
                   5680:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   5681:       }
                   5682:       fprintf(ficreseij,"%9.4f", eip );
                   5683:     }
                   5684:     fprintf(ficreseij,"\n");
                   5685:     
                   5686:   }
                   5687:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5688:   printf("\n");
                   5689:   fprintf(ficlog,"\n");
                   5690:   
                   5691: }
                   5692: 
1.235     brouard  5693:  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  5694: 
                   5695: {
                   5696:   /* Covariances of health expectancies eij and of total life expectancies according
1.222     brouard  5697:      to initial status i, ei. .
1.126     brouard  5698:   */
                   5699:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   5700:   int nhstepma, nstepma; /* Decreasing with age */
                   5701:   double age, agelim, hf;
                   5702:   double ***p3matp, ***p3matm, ***varhe;
                   5703:   double **dnewm,**doldm;
                   5704:   double *xp, *xm;
                   5705:   double **gp, **gm;
                   5706:   double ***gradg, ***trgradg;
                   5707:   int theta;
                   5708: 
                   5709:   double eip, vip;
                   5710: 
                   5711:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   5712:   xp=vector(1,npar);
                   5713:   xm=vector(1,npar);
                   5714:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   5715:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   5716:   
                   5717:   pstamp(ficresstdeij);
                   5718:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   5719:   fprintf(ficresstdeij,"# Age");
                   5720:   for(i=1; i<=nlstate;i++){
                   5721:     for(j=1; j<=nlstate;j++)
                   5722:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   5723:     fprintf(ficresstdeij," e%1d. ",i);
                   5724:   }
                   5725:   fprintf(ficresstdeij,"\n");
                   5726: 
                   5727:   pstamp(ficrescveij);
                   5728:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   5729:   fprintf(ficrescveij,"# Age");
                   5730:   for(i=1; i<=nlstate;i++)
                   5731:     for(j=1; j<=nlstate;j++){
                   5732:       cptj= (j-1)*nlstate+i;
                   5733:       for(i2=1; i2<=nlstate;i2++)
                   5734:        for(j2=1; j2<=nlstate;j2++){
                   5735:          cptj2= (j2-1)*nlstate+i2;
                   5736:          if(cptj2 <= cptj)
                   5737:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   5738:        }
                   5739:     }
                   5740:   fprintf(ficrescveij,"\n");
                   5741:   
                   5742:   if(estepm < stepm){
                   5743:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   5744:   }
                   5745:   else  hstepm=estepm;   
                   5746:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   5747:    * This is mainly to measure the difference between two models: for example
                   5748:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   5749:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   5750:    * progression in between and thus overestimating or underestimating according
                   5751:    * to the curvature of the survival function. If, for the same date, we 
                   5752:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   5753:    * to compare the new estimate of Life expectancy with the same linear 
                   5754:    * hypothesis. A more precise result, taking into account a more precise
                   5755:    * curvature will be obtained if estepm is as small as stepm. */
                   5756: 
                   5757:   /* For example we decided to compute the life expectancy with the smallest unit */
                   5758:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5759:      nhstepm is the number of hstepm from age to agelim 
                   5760:      nstepm is the number of stepm from age to agelin. 
                   5761:      Look at hpijx to understand the reason of that which relies in memory size
                   5762:      and note for a fixed period like estepm months */
                   5763:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   5764:      survival function given by stepm (the optimization length). Unfortunately it
                   5765:      means that if the survival funtion is printed only each two years of age and if
                   5766:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5767:      results. So we changed our mind and took the option of the best precision.
                   5768:   */
                   5769:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5770: 
                   5771:   /* If stepm=6 months */
                   5772:   /* nhstepm age range expressed in number of stepm */
                   5773:   agelim=AGESUP;
                   5774:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   5775:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5776:   /* if (stepm >= YEARM) hstepm=1;*/
                   5777:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5778:   
                   5779:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5780:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5781:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   5782:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   5783:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   5784:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   5785: 
                   5786:   for (age=bage; age<=fage; age ++){ 
                   5787:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5788:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5789:     /* if (stepm >= YEARM) hstepm=1;*/
                   5790:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
1.218     brouard  5791:                
1.126     brouard  5792:     /* If stepm=6 months */
                   5793:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   5794:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   5795:     
                   5796:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
1.218     brouard  5797:                
1.126     brouard  5798:     /* Computing  Variances of health expectancies */
                   5799:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   5800:        decrease memory allocation */
                   5801:     for(theta=1; theta <=npar; theta++){
                   5802:       for(i=1; i<=npar; i++){ 
1.222     brouard  5803:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5804:        xm[i] = x[i] - (i==theta ?delti[theta]:0);
1.126     brouard  5805:       }
1.235     brouard  5806:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij, nres);  
                   5807:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij, nres);  
1.218     brouard  5808:                        
1.126     brouard  5809:       for(j=1; j<= nlstate; j++){
1.222     brouard  5810:        for(i=1; i<=nlstate; i++){
                   5811:          for(h=0; h<=nhstepm-1; h++){
                   5812:            gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
                   5813:            gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
                   5814:          }
                   5815:        }
1.126     brouard  5816:       }
1.218     brouard  5817:                        
1.126     brouard  5818:       for(ij=1; ij<= nlstate*nlstate; ij++)
1.222     brouard  5819:        for(h=0; h<=nhstepm-1; h++){
                   5820:          gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
                   5821:        }
1.126     brouard  5822:     }/* End theta */
                   5823:     
                   5824:     
                   5825:     for(h=0; h<=nhstepm-1; h++)
                   5826:       for(j=1; j<=nlstate*nlstate;j++)
1.222     brouard  5827:        for(theta=1; theta <=npar; theta++)
                   5828:          trgradg[h][j][theta]=gradg[h][theta][j];
1.126     brouard  5829:     
1.218     brouard  5830:                
1.222     brouard  5831:     for(ij=1;ij<=nlstate*nlstate;ij++)
1.126     brouard  5832:       for(ji=1;ji<=nlstate*nlstate;ji++)
1.222     brouard  5833:        varhe[ij][ji][(int)age] =0.;
1.218     brouard  5834:                
1.222     brouard  5835:     printf("%d|",(int)age);fflush(stdout);
                   5836:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   5837:     for(h=0;h<=nhstepm-1;h++){
1.126     brouard  5838:       for(k=0;k<=nhstepm-1;k++){
1.222     brouard  5839:        matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
                   5840:        matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
                   5841:        for(ij=1;ij<=nlstate*nlstate;ij++)
                   5842:          for(ji=1;ji<=nlstate*nlstate;ji++)
                   5843:            varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
1.126     brouard  5844:       }
                   5845:     }
1.218     brouard  5846:                
1.126     brouard  5847:     /* Computing expectancies */
1.235     brouard  5848:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij,nres);  
1.126     brouard  5849:     for(i=1; i<=nlstate;i++)
                   5850:       for(j=1; j<=nlstate;j++)
1.222     brouard  5851:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   5852:          eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
1.218     brouard  5853:                                        
1.222     brouard  5854:          /* 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  5855:                                        
1.222     brouard  5856:        }
1.269     brouard  5857: 
                   5858:     /* Standard deviation of expectancies ij */                
1.126     brouard  5859:     fprintf(ficresstdeij,"%3.0f",age );
                   5860:     for(i=1; i<=nlstate;i++){
                   5861:       eip=0.;
                   5862:       vip=0.;
                   5863:       for(j=1; j<=nlstate;j++){
1.222     brouard  5864:        eip += eij[i][j][(int)age];
                   5865:        for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
                   5866:          vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
                   5867:        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  5868:       }
                   5869:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   5870:     }
                   5871:     fprintf(ficresstdeij,"\n");
1.218     brouard  5872:                
1.269     brouard  5873:     /* Variance of expectancies ij */          
1.126     brouard  5874:     fprintf(ficrescveij,"%3.0f",age );
                   5875:     for(i=1; i<=nlstate;i++)
                   5876:       for(j=1; j<=nlstate;j++){
1.222     brouard  5877:        cptj= (j-1)*nlstate+i;
                   5878:        for(i2=1; i2<=nlstate;i2++)
                   5879:          for(j2=1; j2<=nlstate;j2++){
                   5880:            cptj2= (j2-1)*nlstate+i2;
                   5881:            if(cptj2 <= cptj)
                   5882:              fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
                   5883:          }
1.126     brouard  5884:       }
                   5885:     fprintf(ficrescveij,"\n");
1.218     brouard  5886:                
1.126     brouard  5887:   }
                   5888:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   5889:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   5890:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   5891:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   5892:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5893:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5894:   printf("\n");
                   5895:   fprintf(ficlog,"\n");
1.218     brouard  5896:        
1.126     brouard  5897:   free_vector(xm,1,npar);
                   5898:   free_vector(xp,1,npar);
                   5899:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   5900:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   5901:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   5902: }
1.218     brouard  5903:  
1.126     brouard  5904: /************ Variance ******************/
1.235     brouard  5905:  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  5906:  {
1.279     brouard  5907:    /** Variance of health expectancies 
                   5908:     *  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);
                   5909:     * double **newm;
                   5910:     * int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav) 
                   5911:     */
1.218     brouard  5912:   
                   5913:    /* int movingaverage(); */
                   5914:    double **dnewm,**doldm;
                   5915:    double **dnewmp,**doldmp;
                   5916:    int i, j, nhstepm, hstepm, h, nstepm ;
1.288     brouard  5917:    int first=0;
1.218     brouard  5918:    int k;
                   5919:    double *xp;
1.279     brouard  5920:    double **gp, **gm;  /**< for var eij */
                   5921:    double ***gradg, ***trgradg; /**< for var eij */
                   5922:    double **gradgp, **trgradgp; /**< for var p point j */
                   5923:    double *gpp, *gmp; /**< for var p point j */
                   5924:    double **varppt; /**< for var p point j nlstate to nlstate+ndeath */
1.218     brouard  5925:    double ***p3mat;
                   5926:    double age,agelim, hf;
                   5927:    /* double ***mobaverage; */
                   5928:    int theta;
                   5929:    char digit[4];
                   5930:    char digitp[25];
                   5931: 
                   5932:    char fileresprobmorprev[FILENAMELENGTH];
                   5933: 
                   5934:    if(popbased==1){
                   5935:      if(mobilav!=0)
                   5936:        strcpy(digitp,"-POPULBASED-MOBILAV_");
                   5937:      else strcpy(digitp,"-POPULBASED-NOMOBIL_");
                   5938:    }
                   5939:    else 
                   5940:      strcpy(digitp,"-STABLBASED_");
1.126     brouard  5941: 
1.218     brouard  5942:    /* if (mobilav!=0) { */
                   5943:    /*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   5944:    /*   if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){ */
                   5945:    /*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */
                   5946:    /*     printf(" Error in movingaverage mobilav=%d\n",mobilav); */
                   5947:    /*   } */
                   5948:    /* } */
                   5949: 
                   5950:    strcpy(fileresprobmorprev,"PRMORPREV-"); 
                   5951:    sprintf(digit,"%-d",ij);
                   5952:    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
                   5953:    strcat(fileresprobmorprev,digit); /* Tvar to be done */
                   5954:    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
                   5955:    strcat(fileresprobmorprev,fileresu);
                   5956:    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
                   5957:      printf("Problem with resultfile: %s\n", fileresprobmorprev);
                   5958:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
                   5959:    }
                   5960:    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5961:    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5962:    pstamp(ficresprobmorprev);
                   5963:    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  5964:    fprintf(ficresprobmorprev,"# Selected quantitative variables and dummies");
                   5965:    for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   5966:      fprintf(ficresprobmorprev," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   5967:    }
                   5968:    for(j=1;j<=cptcoveff;j++) 
                   5969:      fprintf(ficresprobmorprev,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(ij,j)]);
                   5970:    fprintf(ficresprobmorprev,"\n");
                   5971: 
1.218     brouard  5972:    fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
                   5973:    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   5974:      fprintf(ficresprobmorprev," p.%-d SE",j);
                   5975:      for(i=1; i<=nlstate;i++)
                   5976:        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
                   5977:    }  
                   5978:    fprintf(ficresprobmorprev,"\n");
                   5979:   
                   5980:    fprintf(ficgp,"\n# Routine varevsij");
                   5981:    fprintf(ficgp,"\nunset title \n");
                   5982:    /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
                   5983:    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");
                   5984:    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
1.279     brouard  5985: 
1.218     brouard  5986:    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5987:    pstamp(ficresvij);
                   5988:    fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
                   5989:    if(popbased==1)
                   5990:      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);
                   5991:    else
                   5992:      fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
                   5993:    fprintf(ficresvij,"# Age");
                   5994:    for(i=1; i<=nlstate;i++)
                   5995:      for(j=1; j<=nlstate;j++)
                   5996:        fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
                   5997:    fprintf(ficresvij,"\n");
                   5998: 
                   5999:    xp=vector(1,npar);
                   6000:    dnewm=matrix(1,nlstate,1,npar);
                   6001:    doldm=matrix(1,nlstate,1,nlstate);
                   6002:    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
                   6003:    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6004: 
                   6005:    gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
                   6006:    gpp=vector(nlstate+1,nlstate+ndeath);
                   6007:    gmp=vector(nlstate+1,nlstate+ndeath);
                   6008:    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.126     brouard  6009:   
1.218     brouard  6010:    if(estepm < stepm){
                   6011:      printf ("Problem %d lower than %d\n",estepm, stepm);
                   6012:    }
                   6013:    else  hstepm=estepm;   
                   6014:    /* For example we decided to compute the life expectancy with the smallest unit */
                   6015:    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   6016:       nhstepm is the number of hstepm from age to agelim 
                   6017:       nstepm is the number of stepm from age to agelim. 
                   6018:       Look at function hpijx to understand why because of memory size limitations, 
                   6019:       we decided (b) to get a life expectancy respecting the most precise curvature of the
                   6020:       survival function given by stepm (the optimization length). Unfortunately it
                   6021:       means that if the survival funtion is printed every two years of age and if
                   6022:       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   6023:       results. So we changed our mind and took the option of the best precision.
                   6024:    */
                   6025:    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   6026:    agelim = AGESUP;
                   6027:    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   6028:      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6029:      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   6030:      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6031:      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
                   6032:      gp=matrix(0,nhstepm,1,nlstate);
                   6033:      gm=matrix(0,nhstepm,1,nlstate);
                   6034:                
                   6035:                
                   6036:      for(theta=1; theta <=npar; theta++){
                   6037:        for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
                   6038:         xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6039:        }
1.279     brouard  6040:        /**< Computes the prevalence limit with parameter theta shifted of delta up to ftolpl precision and 
                   6041:        * returns into prlim .
1.288     brouard  6042:        */
1.242     brouard  6043:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij, nres);
1.279     brouard  6044: 
                   6045:        /* If popbased = 1 we use crossection prevalences. Previous step is useless but prlim is created */
1.218     brouard  6046:        if (popbased==1) {
                   6047:         if(mobilav ==0){
                   6048:           for(i=1; i<=nlstate;i++)
                   6049:             prlim[i][i]=probs[(int)age][i][ij];
                   6050:         }else{ /* mobilav */ 
                   6051:           for(i=1; i<=nlstate;i++)
                   6052:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   6053:         }
                   6054:        }
1.295     brouard  6055:        /**< Computes the shifted transition matrix \f$ {}{h}_p^{ij}x\f$ at horizon h.
1.279     brouard  6056:        */                      
                   6057:        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  6058:        /**< 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  6059:        * at horizon h in state j including mortality.
                   6060:        */
1.218     brouard  6061:        for(j=1; j<= nlstate; j++){
                   6062:         for(h=0; h<=nhstepm; h++){
                   6063:           for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                   6064:             gp[h][j] += prlim[i][i]*p3mat[i][j][h];
                   6065:         }
                   6066:        }
1.279     brouard  6067:        /* Next for computing shifted+ probability of death (h=1 means
1.218     brouard  6068:          computed over hstepm matrices product = hstepm*stepm months) 
1.279     brouard  6069:          as a weighted average of prlim(i) * p(i,j) p.3=w1*p13 + w2*p23 .
1.218     brouard  6070:        */
                   6071:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6072:         for(i=1,gpp[j]=0.; i<= nlstate; i++)
                   6073:           gpp[j] += prlim[i][i]*p3mat[i][j][1];
1.279     brouard  6074:        }
                   6075:        
                   6076:        /* Again with minus shift */
1.218     brouard  6077:                        
                   6078:        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
                   6079:         xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.288     brouard  6080: 
1.242     brouard  6081:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp, ij, nres);
1.218     brouard  6082:                        
                   6083:        if (popbased==1) {
                   6084:         if(mobilav ==0){
                   6085:           for(i=1; i<=nlstate;i++)
                   6086:             prlim[i][i]=probs[(int)age][i][ij];
                   6087:         }else{ /* mobilav */ 
                   6088:           for(i=1; i<=nlstate;i++)
                   6089:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   6090:         }
                   6091:        }
                   6092:                        
1.235     brouard  6093:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij,nres);  
1.218     brouard  6094:                        
                   6095:        for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
                   6096:         for(h=0; h<=nhstepm; h++){
                   6097:           for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                   6098:             gm[h][j] += prlim[i][i]*p3mat[i][j][h];
                   6099:         }
                   6100:        }
                   6101:        /* This for computing probability of death (h=1 means
                   6102:          computed over hstepm matrices product = hstepm*stepm months) 
                   6103:          as a weighted average of prlim.
                   6104:        */
                   6105:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6106:         for(i=1,gmp[j]=0.; i<= nlstate; i++)
                   6107:           gmp[j] += prlim[i][i]*p3mat[i][j][1];
                   6108:        }    
1.279     brouard  6109:        /* end shifting computations */
                   6110: 
                   6111:        /**< Computing gradient matrix at horizon h 
                   6112:        */
1.218     brouard  6113:        for(j=1; j<= nlstate; j++) /* vareij */
                   6114:         for(h=0; h<=nhstepm; h++){
                   6115:           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
                   6116:         }
1.279     brouard  6117:        /**< Gradient of overall mortality p.3 (or p.j) 
                   6118:        */
                   6119:        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu mortality from j */
1.218     brouard  6120:         gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
                   6121:        }
                   6122:                        
                   6123:      } /* End theta */
1.279     brouard  6124:      
                   6125:      /* We got the gradient matrix for each theta and state j */               
1.218     brouard  6126:      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
                   6127:                
                   6128:      for(h=0; h<=nhstepm; h++) /* veij */
                   6129:        for(j=1; j<=nlstate;j++)
                   6130:         for(theta=1; theta <=npar; theta++)
                   6131:           trgradg[h][j][theta]=gradg[h][theta][j];
                   6132:                
                   6133:      for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                   6134:        for(theta=1; theta <=npar; theta++)
                   6135:         trgradgp[j][theta]=gradgp[theta][j];
1.279     brouard  6136:      /**< as well as its transposed matrix 
                   6137:       */               
1.218     brouard  6138:                
                   6139:      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   6140:      for(i=1;i<=nlstate;i++)
                   6141:        for(j=1;j<=nlstate;j++)
                   6142:         vareij[i][j][(int)age] =0.;
1.279     brouard  6143: 
                   6144:      /* Computing trgradg by matcov by gradg at age and summing over h
                   6145:       * and k (nhstepm) formula 15 of article
                   6146:       * Lievre-Brouard-Heathcote
                   6147:       */
                   6148:      
1.218     brouard  6149:      for(h=0;h<=nhstepm;h++){
                   6150:        for(k=0;k<=nhstepm;k++){
                   6151:         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
                   6152:         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
                   6153:         for(i=1;i<=nlstate;i++)
                   6154:           for(j=1;j<=nlstate;j++)
                   6155:             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
                   6156:        }
                   6157:      }
                   6158:                
1.279     brouard  6159:      /* pptj is p.3 or p.j = trgradgp by cov by gradgp, variance of
                   6160:       * p.j overall mortality formula 49 but computed directly because
                   6161:       * we compute the grad (wix pijx) instead of grad (pijx),even if
                   6162:       * wix is independent of theta.
                   6163:       */
1.218     brouard  6164:      matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
                   6165:      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
                   6166:      for(j=nlstate+1;j<=nlstate+ndeath;j++)
                   6167:        for(i=nlstate+1;i<=nlstate+ndeath;i++)
                   6168:         varppt[j][i]=doldmp[j][i];
                   6169:      /* end ppptj */
                   6170:      /*  x centered again */
                   6171:                
1.242     brouard  6172:      prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyearp,ij, nres);
1.218     brouard  6173:                
                   6174:      if (popbased==1) {
                   6175:        if(mobilav ==0){
                   6176:         for(i=1; i<=nlstate;i++)
                   6177:           prlim[i][i]=probs[(int)age][i][ij];
                   6178:        }else{ /* mobilav */ 
                   6179:         for(i=1; i<=nlstate;i++)
                   6180:           prlim[i][i]=mobaverage[(int)age][i][ij];
                   6181:        }
                   6182:      }
                   6183:                
                   6184:      /* This for computing probability of death (h=1 means
                   6185:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
                   6186:        as a weighted average of prlim.
                   6187:      */
1.235     brouard  6188:      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij, nres);  
1.218     brouard  6189:      for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6190:        for(i=1,gmp[j]=0.;i<= nlstate; i++) 
                   6191:         gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
                   6192:      }    
                   6193:      /* end probability of death */
                   6194:                
                   6195:      fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
                   6196:      for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   6197:        fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
                   6198:        for(i=1; i<=nlstate;i++){
                   6199:         fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
                   6200:        }
                   6201:      } 
                   6202:      fprintf(ficresprobmorprev,"\n");
                   6203:                
                   6204:      fprintf(ficresvij,"%.0f ",age );
                   6205:      for(i=1; i<=nlstate;i++)
                   6206:        for(j=1; j<=nlstate;j++){
                   6207:         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
                   6208:        }
                   6209:      fprintf(ficresvij,"\n");
                   6210:      free_matrix(gp,0,nhstepm,1,nlstate);
                   6211:      free_matrix(gm,0,nhstepm,1,nlstate);
                   6212:      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
                   6213:      free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
                   6214:      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6215:    } /* End age */
                   6216:    free_vector(gpp,nlstate+1,nlstate+ndeath);
                   6217:    free_vector(gmp,nlstate+1,nlstate+ndeath);
                   6218:    free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
                   6219:    free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
                   6220:    /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
                   6221:    fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
                   6222:    /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
                   6223:    fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
                   6224:    fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
                   6225:    /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
                   6226:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   6227:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   6228:    fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
                   6229:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
                   6230:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
                   6231:    fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
                   6232:    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);
                   6233:    /*  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  6234:     */
1.218     brouard  6235:    /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
                   6236:    fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  6237: 
1.218     brouard  6238:    free_vector(xp,1,npar);
                   6239:    free_matrix(doldm,1,nlstate,1,nlstate);
                   6240:    free_matrix(dnewm,1,nlstate,1,npar);
                   6241:    free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6242:    free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
                   6243:    free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6244:    /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   6245:    fclose(ficresprobmorprev);
                   6246:    fflush(ficgp);
                   6247:    fflush(fichtm); 
                   6248:  }  /* end varevsij */
1.126     brouard  6249: 
                   6250: /************ Variance of prevlim ******************/
1.269     brouard  6251:  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  6252: {
1.205     brouard  6253:   /* Variance of prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
1.126     brouard  6254:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  6255: 
1.268     brouard  6256:   double **dnewmpar,**doldm;
1.126     brouard  6257:   int i, j, nhstepm, hstepm;
                   6258:   double *xp;
                   6259:   double *gp, *gm;
                   6260:   double **gradg, **trgradg;
1.208     brouard  6261:   double **mgm, **mgp;
1.126     brouard  6262:   double age,agelim;
                   6263:   int theta;
                   6264:   
                   6265:   pstamp(ficresvpl);
1.288     brouard  6266:   fprintf(ficresvpl,"# Standard deviation of period (forward stable) prevalences \n");
1.241     brouard  6267:   fprintf(ficresvpl,"# Age ");
                   6268:   if(nresult >=1)
                   6269:     fprintf(ficresvpl," Result# ");
1.126     brouard  6270:   for(i=1; i<=nlstate;i++)
                   6271:       fprintf(ficresvpl," %1d-%1d",i,i);
                   6272:   fprintf(ficresvpl,"\n");
                   6273: 
                   6274:   xp=vector(1,npar);
1.268     brouard  6275:   dnewmpar=matrix(1,nlstate,1,npar);
1.126     brouard  6276:   doldm=matrix(1,nlstate,1,nlstate);
                   6277:   
                   6278:   hstepm=1*YEARM; /* Every year of age */
                   6279:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   6280:   agelim = AGESUP;
                   6281:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   6282:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6283:     if (stepm >= YEARM) hstepm=1;
                   6284:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6285:     gradg=matrix(1,npar,1,nlstate);
1.208     brouard  6286:     mgp=matrix(1,npar,1,nlstate);
                   6287:     mgm=matrix(1,npar,1,nlstate);
1.126     brouard  6288:     gp=vector(1,nlstate);
                   6289:     gm=vector(1,nlstate);
                   6290: 
                   6291:     for(theta=1; theta <=npar; theta++){
                   6292:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   6293:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6294:       }
1.288     brouard  6295:       /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */
                   6296:       /*       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */
                   6297:       /* else */
                   6298:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
1.208     brouard  6299:       for(i=1;i<=nlstate;i++){
1.126     brouard  6300:        gp[i] = prlim[i][i];
1.208     brouard  6301:        mgp[theta][i] = prlim[i][i];
                   6302:       }
1.126     brouard  6303:       for(i=1; i<=npar; i++) /* Computes gradient */
                   6304:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.288     brouard  6305:       /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */
                   6306:       /*       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */
                   6307:       /* else */
                   6308:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
1.208     brouard  6309:       for(i=1;i<=nlstate;i++){
1.126     brouard  6310:        gm[i] = prlim[i][i];
1.208     brouard  6311:        mgm[theta][i] = prlim[i][i];
                   6312:       }
1.126     brouard  6313:       for(i=1;i<=nlstate;i++)
                   6314:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
1.209     brouard  6315:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
1.126     brouard  6316:     } /* End theta */
                   6317: 
                   6318:     trgradg =matrix(1,nlstate,1,npar);
                   6319: 
                   6320:     for(j=1; j<=nlstate;j++)
                   6321:       for(theta=1; theta <=npar; theta++)
                   6322:        trgradg[j][theta]=gradg[theta][j];
1.209     brouard  6323:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6324:     /*   printf("\nmgm mgp %d ",(int)age); */
                   6325:     /*   for(j=1; j<=nlstate;j++){ */
                   6326:     /*         printf(" %d ",j); */
                   6327:     /*         for(theta=1; theta <=npar; theta++) */
                   6328:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   6329:     /*         printf("\n "); */
                   6330:     /*   } */
                   6331:     /* } */
                   6332:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6333:     /*   printf("\n gradg %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 ",theta,gradg[theta][j]); */
                   6338:     /*         printf("\n "); */
                   6339:     /*   } */
                   6340:     /* } */
1.126     brouard  6341: 
                   6342:     for(i=1;i<=nlstate;i++)
                   6343:       varpl[i][(int)age] =0.;
1.209     brouard  6344:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
1.268     brouard  6345:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6346:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  6347:     }else{
1.268     brouard  6348:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6349:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  6350:     }
1.126     brouard  6351:     for(i=1;i<=nlstate;i++)
                   6352:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   6353: 
                   6354:     fprintf(ficresvpl,"%.0f ",age );
1.241     brouard  6355:     if(nresult >=1)
                   6356:       fprintf(ficresvpl,"%d ",nres );
1.288     brouard  6357:     for(i=1; i<=nlstate;i++){
1.126     brouard  6358:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
1.288     brouard  6359:       /* for(j=1;j<=nlstate;j++) */
                   6360:       /*       fprintf(ficresvpl," %d %.5f ",j,prlim[j][i]); */
                   6361:     }
1.126     brouard  6362:     fprintf(ficresvpl,"\n");
                   6363:     free_vector(gp,1,nlstate);
                   6364:     free_vector(gm,1,nlstate);
1.208     brouard  6365:     free_matrix(mgm,1,npar,1,nlstate);
                   6366:     free_matrix(mgp,1,npar,1,nlstate);
1.126     brouard  6367:     free_matrix(gradg,1,npar,1,nlstate);
                   6368:     free_matrix(trgradg,1,nlstate,1,npar);
                   6369:   } /* End age */
                   6370: 
                   6371:   free_vector(xp,1,npar);
                   6372:   free_matrix(doldm,1,nlstate,1,npar);
1.268     brouard  6373:   free_matrix(dnewmpar,1,nlstate,1,nlstate);
                   6374: 
                   6375: }
                   6376: 
                   6377: 
                   6378: /************ Variance of backprevalence limit ******************/
1.269     brouard  6379:  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  6380: {
                   6381:   /* Variance of backward prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
                   6382:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
                   6383: 
                   6384:   double **dnewmpar,**doldm;
                   6385:   int i, j, nhstepm, hstepm;
                   6386:   double *xp;
                   6387:   double *gp, *gm;
                   6388:   double **gradg, **trgradg;
                   6389:   double **mgm, **mgp;
                   6390:   double age,agelim;
                   6391:   int theta;
                   6392:   
                   6393:   pstamp(ficresvbl);
                   6394:   fprintf(ficresvbl,"# Standard deviation of back (stable) prevalences \n");
                   6395:   fprintf(ficresvbl,"# Age ");
                   6396:   if(nresult >=1)
                   6397:     fprintf(ficresvbl," Result# ");
                   6398:   for(i=1; i<=nlstate;i++)
                   6399:       fprintf(ficresvbl," %1d-%1d",i,i);
                   6400:   fprintf(ficresvbl,"\n");
                   6401: 
                   6402:   xp=vector(1,npar);
                   6403:   dnewmpar=matrix(1,nlstate,1,npar);
                   6404:   doldm=matrix(1,nlstate,1,nlstate);
                   6405:   
                   6406:   hstepm=1*YEARM; /* Every year of age */
                   6407:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   6408:   agelim = AGEINF;
                   6409:   for (age=fage; age>=bage; age --){ /* If stepm=6 months */
                   6410:     nhstepm=(int) rint((age-agelim)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6411:     if (stepm >= YEARM) hstepm=1;
                   6412:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6413:     gradg=matrix(1,npar,1,nlstate);
                   6414:     mgp=matrix(1,npar,1,nlstate);
                   6415:     mgm=matrix(1,npar,1,nlstate);
                   6416:     gp=vector(1,nlstate);
                   6417:     gm=vector(1,nlstate);
                   6418: 
                   6419:     for(theta=1; theta <=npar; theta++){
                   6420:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   6421:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6422:       }
                   6423:       if(mobilavproj > 0 )
                   6424:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6425:       else
                   6426:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6427:       for(i=1;i<=nlstate;i++){
                   6428:        gp[i] = bprlim[i][i];
                   6429:        mgp[theta][i] = bprlim[i][i];
                   6430:       }
                   6431:      for(i=1; i<=npar; i++) /* Computes gradient */
                   6432:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   6433:        if(mobilavproj > 0 )
                   6434:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6435:        else
                   6436:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6437:       for(i=1;i<=nlstate;i++){
                   6438:        gm[i] = bprlim[i][i];
                   6439:        mgm[theta][i] = bprlim[i][i];
                   6440:       }
                   6441:       for(i=1;i<=nlstate;i++)
                   6442:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
                   6443:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
                   6444:     } /* End theta */
                   6445: 
                   6446:     trgradg =matrix(1,nlstate,1,npar);
                   6447: 
                   6448:     for(j=1; j<=nlstate;j++)
                   6449:       for(theta=1; theta <=npar; theta++)
                   6450:        trgradg[j][theta]=gradg[theta][j];
                   6451:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6452:     /*   printf("\nmgm mgp %d ",(int)age); */
                   6453:     /*   for(j=1; j<=nlstate;j++){ */
                   6454:     /*         printf(" %d ",j); */
                   6455:     /*         for(theta=1; theta <=npar; theta++) */
                   6456:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   6457:     /*         printf("\n "); */
                   6458:     /*   } */
                   6459:     /* } */
                   6460:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6461:     /*   printf("\n gradg %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 ",theta,gradg[theta][j]); */
                   6466:     /*         printf("\n "); */
                   6467:     /*   } */
                   6468:     /* } */
                   6469: 
                   6470:     for(i=1;i<=nlstate;i++)
                   6471:       varbpl[i][(int)age] =0.;
                   6472:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
                   6473:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6474:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
                   6475:     }else{
                   6476:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6477:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
                   6478:     }
                   6479:     for(i=1;i<=nlstate;i++)
                   6480:       varbpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   6481: 
                   6482:     fprintf(ficresvbl,"%.0f ",age );
                   6483:     if(nresult >=1)
                   6484:       fprintf(ficresvbl,"%d ",nres );
                   6485:     for(i=1; i<=nlstate;i++)
                   6486:       fprintf(ficresvbl," %.5f (%.5f)",bprlim[i][i],sqrt(varbpl[i][(int)age]));
                   6487:     fprintf(ficresvbl,"\n");
                   6488:     free_vector(gp,1,nlstate);
                   6489:     free_vector(gm,1,nlstate);
                   6490:     free_matrix(mgm,1,npar,1,nlstate);
                   6491:     free_matrix(mgp,1,npar,1,nlstate);
                   6492:     free_matrix(gradg,1,npar,1,nlstate);
                   6493:     free_matrix(trgradg,1,nlstate,1,npar);
                   6494:   } /* End age */
                   6495: 
                   6496:   free_vector(xp,1,npar);
                   6497:   free_matrix(doldm,1,nlstate,1,npar);
                   6498:   free_matrix(dnewmpar,1,nlstate,1,nlstate);
1.126     brouard  6499: 
                   6500: }
                   6501: 
                   6502: /************ Variance of one-step probabilities  ******************/
                   6503: 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  6504:  {
                   6505:    int i, j=0,  k1, l1, tj;
                   6506:    int k2, l2, j1,  z1;
                   6507:    int k=0, l;
                   6508:    int first=1, first1, first2;
                   6509:    double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   6510:    double **dnewm,**doldm;
                   6511:    double *xp;
                   6512:    double *gp, *gm;
                   6513:    double **gradg, **trgradg;
                   6514:    double **mu;
                   6515:    double age, cov[NCOVMAX+1];
                   6516:    double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   6517:    int theta;
                   6518:    char fileresprob[FILENAMELENGTH];
                   6519:    char fileresprobcov[FILENAMELENGTH];
                   6520:    char fileresprobcor[FILENAMELENGTH];
                   6521:    double ***varpij;
                   6522: 
                   6523:    strcpy(fileresprob,"PROB_"); 
                   6524:    strcat(fileresprob,fileres);
                   6525:    if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   6526:      printf("Problem with resultfile: %s\n", fileresprob);
                   6527:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   6528:    }
                   6529:    strcpy(fileresprobcov,"PROBCOV_"); 
                   6530:    strcat(fileresprobcov,fileresu);
                   6531:    if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   6532:      printf("Problem with resultfile: %s\n", fileresprobcov);
                   6533:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   6534:    }
                   6535:    strcpy(fileresprobcor,"PROBCOR_"); 
                   6536:    strcat(fileresprobcor,fileresu);
                   6537:    if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   6538:      printf("Problem with resultfile: %s\n", fileresprobcor);
                   6539:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   6540:    }
                   6541:    printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   6542:    fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   6543:    printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   6544:    fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   6545:    printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   6546:    fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   6547:    pstamp(ficresprob);
                   6548:    fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   6549:    fprintf(ficresprob,"# Age");
                   6550:    pstamp(ficresprobcov);
                   6551:    fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   6552:    fprintf(ficresprobcov,"# Age");
                   6553:    pstamp(ficresprobcor);
                   6554:    fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   6555:    fprintf(ficresprobcor,"# Age");
1.126     brouard  6556: 
                   6557: 
1.222     brouard  6558:    for(i=1; i<=nlstate;i++)
                   6559:      for(j=1; j<=(nlstate+ndeath);j++){
                   6560:        fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   6561:        fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   6562:        fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   6563:      }  
                   6564:    /* fprintf(ficresprob,"\n");
                   6565:       fprintf(ficresprobcov,"\n");
                   6566:       fprintf(ficresprobcor,"\n");
                   6567:    */
                   6568:    xp=vector(1,npar);
                   6569:    dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   6570:    doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   6571:    mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   6572:    varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   6573:    first=1;
                   6574:    fprintf(ficgp,"\n# Routine varprob");
                   6575:    fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   6576:    fprintf(fichtm,"\n");
                   6577: 
1.288     brouard  6578:    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  6579:    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);
                   6580:    fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
1.126     brouard  6581: and drawn. It helps understanding how is the covariance between two incidences.\
                   6582:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
1.222     brouard  6583:    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  6584: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   6585: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   6586: standard deviations wide on each axis. <br>\
                   6587:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   6588:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   6589: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   6590: 
1.222     brouard  6591:    cov[1]=1;
                   6592:    /* tj=cptcoveff; */
1.225     brouard  6593:    tj = (int) pow(2,cptcoveff);
1.222     brouard  6594:    if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   6595:    j1=0;
1.224     brouard  6596:    for(j1=1; j1<=tj;j1++){  /* For each valid combination of covariates or only once*/
1.222     brouard  6597:      if  (cptcovn>0) {
                   6598:        fprintf(ficresprob, "\n#********** Variable "); 
1.225     brouard  6599:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6600:        fprintf(ficresprob, "**********\n#\n");
                   6601:        fprintf(ficresprobcov, "\n#********** Variable "); 
1.225     brouard  6602:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6603:        fprintf(ficresprobcov, "**********\n#\n");
1.220     brouard  6604:                        
1.222     brouard  6605:        fprintf(ficgp, "\n#********** Variable "); 
1.225     brouard  6606:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6607:        fprintf(ficgp, "**********\n#\n");
1.220     brouard  6608:                        
                   6609:                        
1.222     brouard  6610:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
1.225     brouard  6611:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6612:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  6613:                        
1.222     brouard  6614:        fprintf(ficresprobcor, "\n#********** Variable ");    
1.225     brouard  6615:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6616:        fprintf(ficresprobcor, "**********\n#");    
                   6617:        if(invalidvarcomb[j1]){
                   6618:         fprintf(ficgp,"\n#Combination (%d) ignored because no cases \n",j1); 
                   6619:         fprintf(fichtmcov,"\n<h3>Combination (%d) ignored because no cases </h3>\n",j1); 
                   6620:         continue;
                   6621:        }
                   6622:      }
                   6623:      gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   6624:      trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   6625:      gp=vector(1,(nlstate)*(nlstate+ndeath));
                   6626:      gm=vector(1,(nlstate)*(nlstate+ndeath));
                   6627:      for (age=bage; age<=fage; age ++){ 
                   6628:        cov[2]=age;
                   6629:        if(nagesqr==1)
                   6630:         cov[3]= age*age;
                   6631:        for (k=1; k<=cptcovn;k++) {
                   6632:         cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
                   6633:         /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
                   6634:                                                                    * 1  1 1 1 1
                   6635:                                                                    * 2  2 1 1 1
                   6636:                                                                    * 3  1 2 1 1
                   6637:                                                                    */
                   6638:         /* nbcode[1][1]=0 nbcode[1][2]=1;*/
                   6639:        }
                   6640:        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   6641:        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   6642:        for (k=1; k<=cptcovprod;k++)
                   6643:         cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.220     brouard  6644:                        
                   6645:                        
1.222     brouard  6646:        for(theta=1; theta <=npar; theta++){
                   6647:         for(i=1; i<=npar; i++)
                   6648:           xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
1.220     brouard  6649:                                
1.222     brouard  6650:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
1.220     brouard  6651:                                
1.222     brouard  6652:         k=0;
                   6653:         for(i=1; i<= (nlstate); i++){
                   6654:           for(j=1; j<=(nlstate+ndeath);j++){
                   6655:             k=k+1;
                   6656:             gp[k]=pmmij[i][j];
                   6657:           }
                   6658:         }
1.220     brouard  6659:                                
1.222     brouard  6660:         for(i=1; i<=npar; i++)
                   6661:           xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
1.220     brouard  6662:                                
1.222     brouard  6663:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   6664:         k=0;
                   6665:         for(i=1; i<=(nlstate); i++){
                   6666:           for(j=1; j<=(nlstate+ndeath);j++){
                   6667:             k=k+1;
                   6668:             gm[k]=pmmij[i][j];
                   6669:           }
                   6670:         }
1.220     brouard  6671:                                
1.222     brouard  6672:         for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   6673:           gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   6674:        }
1.126     brouard  6675: 
1.222     brouard  6676:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   6677:         for(theta=1; theta <=npar; theta++)
                   6678:           trgradg[j][theta]=gradg[theta][j];
1.220     brouard  6679:                        
1.222     brouard  6680:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   6681:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
1.220     brouard  6682:                        
1.222     brouard  6683:        pmij(pmmij,cov,ncovmodel,x,nlstate);
1.220     brouard  6684:                        
1.222     brouard  6685:        k=0;
                   6686:        for(i=1; i<=(nlstate); i++){
                   6687:         for(j=1; j<=(nlstate+ndeath);j++){
                   6688:           k=k+1;
                   6689:           mu[k][(int) age]=pmmij[i][j];
                   6690:         }
                   6691:        }
                   6692:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   6693:         for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   6694:           varpij[i][j][(int)age] = doldm[i][j];
1.220     brouard  6695:                        
1.222     brouard  6696:        /*printf("\n%d ",(int)age);
                   6697:         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   6698:         printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   6699:         fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   6700:         }*/
1.220     brouard  6701:                        
1.222     brouard  6702:        fprintf(ficresprob,"\n%d ",(int)age);
                   6703:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   6704:        fprintf(ficresprobcor,"\n%d ",(int)age);
1.220     brouard  6705:                        
1.222     brouard  6706:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   6707:         fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   6708:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   6709:         fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   6710:         fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   6711:        }
                   6712:        i=0;
                   6713:        for (k=1; k<=(nlstate);k++){
                   6714:         for (l=1; l<=(nlstate+ndeath);l++){ 
                   6715:           i++;
                   6716:           fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   6717:           fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   6718:           for (j=1; j<=i;j++){
                   6719:             /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
                   6720:             fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   6721:             fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   6722:           }
                   6723:         }
                   6724:        }/* end of loop for state */
                   6725:      } /* end of loop for age */
                   6726:      free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   6727:      free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   6728:      free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   6729:      free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   6730:     
                   6731:      /* Confidence intervalle of pij  */
                   6732:      /*
                   6733:        fprintf(ficgp,"\nunset parametric;unset label");
                   6734:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   6735:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   6736:        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);
                   6737:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   6738:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   6739:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   6740:      */
                   6741:                
                   6742:      /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
                   6743:      first1=1;first2=2;
                   6744:      for (k2=1; k2<=(nlstate);k2++){
                   6745:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   6746:         if(l2==k2) continue;
                   6747:         j=(k2-1)*(nlstate+ndeath)+l2;
                   6748:         for (k1=1; k1<=(nlstate);k1++){
                   6749:           for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   6750:             if(l1==k1) continue;
                   6751:             i=(k1-1)*(nlstate+ndeath)+l1;
                   6752:             if(i<=j) continue;
                   6753:             for (age=bage; age<=fage; age ++){ 
                   6754:               if ((int)age %5==0){
                   6755:                 v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   6756:                 v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   6757:                 cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   6758:                 mu1=mu[i][(int) age]/stepm*YEARM ;
                   6759:                 mu2=mu[j][(int) age]/stepm*YEARM;
                   6760:                 c12=cv12/sqrt(v1*v2);
                   6761:                 /* Computing eigen value of matrix of covariance */
                   6762:                 lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   6763:                 lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   6764:                 if ((lc2 <0) || (lc1 <0) ){
                   6765:                   if(first2==1){
                   6766:                     first1=0;
                   6767:                     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);
                   6768:                   }
                   6769:                   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);
                   6770:                   /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   6771:                   /* lc2=fabs(lc2); */
                   6772:                 }
1.220     brouard  6773:                                                                
1.222     brouard  6774:                 /* Eigen vectors */
1.280     brouard  6775:                 if(1+(v1-lc1)*(v1-lc1)/cv12/cv12 <1.e-5){
                   6776:                   printf(" Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12);
                   6777:                   fprintf(ficlog," Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12);
                   6778:                   v11=(1./sqrt(fabs(1+(v1-lc1)*(v1-lc1)/cv12/cv12)));
                   6779:                 }else
                   6780:                   v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
1.222     brouard  6781:                 /*v21=sqrt(1.-v11*v11); *//* error */
                   6782:                 v21=(lc1-v1)/cv12*v11;
                   6783:                 v12=-v21;
                   6784:                 v22=v11;
                   6785:                 tnalp=v21/v11;
                   6786:                 if(first1==1){
                   6787:                   first1=0;
                   6788:                   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);
                   6789:                 }
                   6790:                 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);
                   6791:                 /*printf(fignu*/
                   6792:                 /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   6793:                 /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   6794:                 if(first==1){
                   6795:                   first=0;
                   6796:                   fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
                   6797:                   fprintf(ficgp,"\nset parametric;unset label");
                   6798:                   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);
                   6799:                   fprintf(ficgp,"\nset ter svg size 640, 480");
1.266     brouard  6800:                   fprintf(fichtmcov,"\n<p><br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
1.220     brouard  6801:  :<a href=\"%s_%d%1d%1d-%1d%1d.svg\">                                                                                                                                          \
1.201     brouard  6802: %s_%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
1.222     brouard  6803:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2,      \
                   6804:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6805:                   fprintf(fichtmcov,"\n<br><img src=\"%s_%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6806:                   fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                   6807:                   fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6808:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   6809:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   6810:                   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  6811:                           mu1,std,v11,sqrt(fabs(lc1)),v12,sqrt(fabs(lc2)), \
                   6812:                           mu2,std,v21,sqrt(fabs(lc1)),v22,sqrt(fabs(lc2))); /* For gnuplot only */
1.222     brouard  6813:                 }else{
                   6814:                   first=0;
                   6815:                   fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   6816:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   6817:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   6818:                   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  6819:                           mu1,std,v11,sqrt(lc1),v12,sqrt(fabs(lc2)),   \
                   6820:                           mu2,std,v21,sqrt(lc1),v22,sqrt(fabs(lc2)));
1.222     brouard  6821:                 }/* if first */
                   6822:               } /* age mod 5 */
                   6823:             } /* end loop age */
                   6824:             fprintf(ficgp,"\nset out;\nset out \"%s_%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6825:             first=1;
                   6826:           } /*l12 */
                   6827:         } /* k12 */
                   6828:        } /*l1 */
                   6829:      }/* k1 */
                   6830:    }  /* loop on combination of covariates j1 */
                   6831:    free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   6832:    free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   6833:    free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   6834:    free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   6835:    free_vector(xp,1,npar);
                   6836:    fclose(ficresprob);
                   6837:    fclose(ficresprobcov);
                   6838:    fclose(ficresprobcor);
                   6839:    fflush(ficgp);
                   6840:    fflush(fichtmcov);
                   6841:  }
1.126     brouard  6842: 
                   6843: 
                   6844: /******************* Printing html file ***********/
1.201     brouard  6845: void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  6846:                  int lastpass, int stepm, int weightopt, char model[],\
                   6847:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
1.296     brouard  6848:                  int popforecast, int mobilav, int prevfcast, int mobilavproj, int prevbcast, int estepm , \
                   6849:                  double jprev1, double mprev1,double anprev1, double dateprev1, double dateprojd, double dateback1, \
                   6850:                  double jprev2, double mprev2,double anprev2, double dateprev2, double dateprojf, double dateback2){
1.237     brouard  6851:   int jj1, k1, i1, cpt, k4, nres;
1.126     brouard  6852: 
                   6853:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   6854:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   6855: </ul>");
1.237     brouard  6856:    fprintf(fichtm,"<ul><li> model=1+age+%s\n \
                   6857: </ul>", model);
1.214     brouard  6858:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n");
                   6859:    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",
                   6860:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTMFR_",".htm"),subdirfext3(optionfilefiname,"PHTMFR_",".htm"));
                   6861:    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  6862:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTM_",".htm"),subdirfext3(optionfilefiname,"PHTM_",".htm"));
                   6863:    fprintf(fichtm,",  <a href=\"%s\">%s</a> (text file) <br>\n",subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_"));
1.126     brouard  6864:    fprintf(fichtm,"\
                   6865:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
1.201     brouard  6866:           stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_"));
1.126     brouard  6867:    fprintf(fichtm,"\
1.217     brouard  6868:  - Estimated back transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
                   6869:           stepm,subdirf2(fileresu,"PIJB_"),subdirf2(fileresu,"PIJB_"));
                   6870:    fprintf(fichtm,"\
1.288     brouard  6871:  - Period (forward) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  6872:           subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
1.126     brouard  6873:    fprintf(fichtm,"\
1.288     brouard  6874:  - Backward prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.217     brouard  6875:           subdirf2(fileresu,"PLB_"),subdirf2(fileresu,"PLB_"));
                   6876:    fprintf(fichtm,"\
1.211     brouard  6877:  - (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  6878:    <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  6879:           estepm,subdirf2(fileresu,"E_"),subdirf2(fileresu,"E_"));
1.211     brouard  6880:    if(prevfcast==1){
                   6881:      fprintf(fichtm,"\
                   6882:  - Prevalence projections by age and states:                           \
1.201     brouard  6883:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
1.211     brouard  6884:    }
1.126     brouard  6885: 
                   6886: 
1.225     brouard  6887:    m=pow(2,cptcoveff);
1.222     brouard  6888:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  6889: 
1.264     brouard  6890:    fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
                   6891: 
                   6892:    jj1=0;
                   6893: 
                   6894:    fprintf(fichtm," \n<ul>");
                   6895:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   6896:    for(k1=1; k1<=m;k1++){ /* For each combination of covariate */
                   6897:      if(m != 1 && TKresult[nres]!= k1)
                   6898:        continue;
                   6899:      jj1++;
                   6900:      if (cptcovn > 0) {
                   6901:        fprintf(fichtm,"\n<li><a  size=\"1\" color=\"#EC5E5E\" href=\"#rescov");
                   6902:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   6903:         fprintf(fichtm,"_V%d=%d_",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6904:        }
                   6905:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6906:         fprintf(fichtm,"_V%d=%f_",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6907:        }
                   6908:        fprintf(fichtm,"\">");
                   6909:        
                   6910:        /* if(nqfveff+nqtveff 0) */ /* Test to be done */
                   6911:        fprintf(fichtm,"************ Results for covariates");
                   6912:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   6913:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6914:        }
                   6915:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6916:         fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6917:        }
                   6918:        if(invalidvarcomb[k1]){
                   6919:         fprintf(fichtm," Warning Combination (%d) ignored because no cases ",k1); 
                   6920:         continue;
                   6921:        }
                   6922:        fprintf(fichtm,"</a></li>");
                   6923:      } /* cptcovn >0 */
                   6924:    }
                   6925:      fprintf(fichtm," \n</ul>");
                   6926: 
1.222     brouard  6927:    jj1=0;
1.237     brouard  6928: 
                   6929:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
1.241     brouard  6930:    for(k1=1; k1<=m;k1++){ /* For each combination of covariate */
1.253     brouard  6931:      if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  6932:        continue;
1.220     brouard  6933: 
1.222     brouard  6934:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   6935:      jj1++;
                   6936:      if (cptcovn > 0) {
1.264     brouard  6937:        fprintf(fichtm,"\n<p><a name=\"rescov");
                   6938:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   6939:         fprintf(fichtm,"_V%d=%d_",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6940:        }
                   6941:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6942:         fprintf(fichtm,"_V%d=%f_",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6943:        }
                   6944:        fprintf(fichtm,"\"</a>");
                   6945:  
1.222     brouard  6946:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  6947:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
1.237     brouard  6948:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6949:         printf(" V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);fflush(stdout);
                   6950:         /* fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]); */
                   6951:         /* printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout); */
1.222     brouard  6952:        }
1.237     brouard  6953:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6954:        fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6955:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);fflush(stdout);
                   6956:       }
                   6957:        
1.230     brouard  6958:        /* if(nqfveff+nqtveff 0) */ /* Test to be done */
1.222     brouard  6959:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   6960:        if(invalidvarcomb[k1]){
                   6961:         fprintf(fichtm,"\n<h3>Combination (%d) ignored because no cases </h3>\n",k1); 
                   6962:         printf("\nCombination (%d) ignored because no cases \n",k1); 
                   6963:         continue;
                   6964:        }
                   6965:      }
                   6966:      /* aij, bij */
1.259     brouard  6967:      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  6968: <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  6969:      /* Pij */
1.241     brouard  6970:      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> \
                   6971: <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  6972:      /* Quasi-incidences */
                   6973:      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  6974:  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too, \
1.211     brouard  6975:  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  6976: 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> \
                   6977: <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  6978:      /* Survival functions (period) in state j */
                   6979:      for(cpt=1; cpt<=nlstate;cpt++){
1.292     brouard  6980:        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  6981: <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  6982:      }
                   6983:      /* State specific survival functions (period) */
                   6984:      for(cpt=1; cpt<=nlstate;cpt++){
1.292     brouard  6985:        fprintf(fichtm,"<br>\n- Survival functions in state %d and in any other live state (total).\
                   6986:  And probability to be observed in various states (up to %d) being in state %d at different ages.      \
1.283     brouard  6987:  <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  6988:      }
1.288     brouard  6989:      /* Period (forward stable) prevalence in each health state */
1.222     brouard  6990:      for(cpt=1; cpt<=nlstate;cpt++){
1.264     brouard  6991:        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> \
                   6992: <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  6993:      }
1.296     brouard  6994:      if(prevbcast==1){
1.288     brouard  6995:        /* Backward prevalence in each health state */
1.222     brouard  6996:        for(cpt=1; cpt<=nlstate;cpt++){
1.264     brouard  6997:         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  6998: <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  6999:        }
1.217     brouard  7000:      }
1.222     brouard  7001:      if(prevfcast==1){
1.288     brouard  7002:        /* Projection of prevalence up to period (forward stable) prevalence in each health state */
1.222     brouard  7003:        for(cpt=1; cpt<=nlstate;cpt++){
1.288     brouard  7004:         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  7005: <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  7006:        }
                   7007:      }
1.296     brouard  7008:      if(prevbcast==1){
1.268     brouard  7009:       /* Back projection of prevalence up to stable (mixed) back-prevalence in each health state */
                   7010:        for(cpt=1; cpt<=nlstate;cpt++){
1.273     brouard  7011:         fprintf(fichtm,"<br>\n- Back projection of cross-sectional prevalence (estimated with cases observed from %.1f to %.1f and mobil_average=%d), \
                   7012:  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 \
                   7013:  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) \
                   7014: with weights corresponding to observed prevalence at different ages. <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a><br> \
                   7015:  <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  7016:        }
                   7017:      }
1.220     brouard  7018:         
1.222     brouard  7019:      for(cpt=1; cpt<=nlstate;cpt++) {
1.241     brouard  7020:        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> \
                   7021: <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  7022:      }
                   7023:      /* } /\* end i1 *\/ */
                   7024:    }/* End k1 */
                   7025:    fprintf(fichtm,"</ul>");
1.126     brouard  7026: 
1.222     brouard  7027:    fprintf(fichtm,"\
1.126     brouard  7028: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
1.193     brouard  7029:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
1.203     brouard  7030:  - 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  7031: But because parameters are usually highly correlated (a higher incidence of disability \
                   7032: and a higher incidence of recovery can give very close observed transition) it might \
                   7033: be very useful to look not only at linear confidence intervals estimated from the \
                   7034: variances but at the covariance matrix. And instead of looking at the estimated coefficients \
                   7035: (parameters) of the logistic regression, it might be more meaningful to visualize the \
                   7036: covariance matrix of the one-step probabilities. \
                   7037: See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
1.126     brouard  7038: 
1.222     brouard  7039:    fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   7040:           subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_"));
                   7041:    fprintf(fichtm,"\
1.126     brouard  7042:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  7043:           subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_"));
1.126     brouard  7044: 
1.222     brouard  7045:    fprintf(fichtm,"\
1.126     brouard  7046:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  7047:           subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"PROBCOR_"));
                   7048:    fprintf(fichtm,"\
1.126     brouard  7049:  - 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): \
                   7050:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  7051:           estepm,subdirf2(fileresu,"CVE_"),subdirf2(fileresu,"CVE_"));
1.222     brouard  7052:    fprintf(fichtm,"\
1.126     brouard  7053:  - (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): \
                   7054:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  7055:           estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_"));
1.222     brouard  7056:    fprintf(fichtm,"\
1.288     brouard  7057:  - 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  7058:           estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_"));
                   7059:    fprintf(fichtm,"\
1.128     brouard  7060:  - 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  7061:           estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_"));
                   7062:    fprintf(fichtm,"\
1.288     brouard  7063:  - Standard deviation of forward (period) prevalences: <a href=\"%s\">%s</a> <br>\n",\
1.222     brouard  7064:           subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
1.126     brouard  7065: 
                   7066: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   7067: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   7068: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   7069: /*     <br>",fileres,fileres,fileres,fileres); */
                   7070: /*  else  */
                   7071: /*    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  7072:    fflush(fichtm);
                   7073:    fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
1.126     brouard  7074: 
1.225     brouard  7075:    m=pow(2,cptcoveff);
1.222     brouard  7076:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  7077: 
1.222     brouard  7078:    jj1=0;
1.237     brouard  7079: 
1.241     brouard  7080:    for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.222     brouard  7081:    for(k1=1; k1<=m;k1++){
1.253     brouard  7082:      if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7083:        continue;
1.222     brouard  7084:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   7085:      jj1++;
1.126     brouard  7086:      if (cptcovn > 0) {
                   7087:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  7088:        for (cpt=1; cpt<=cptcoveff;cpt++)  /**< cptcoveff number of variables */
1.237     brouard  7089:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);
                   7090:         /* fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]); */
                   7091:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7092:        fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7093:       }
                   7094: 
1.126     brouard  7095:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  7096: 
1.222     brouard  7097:        if(invalidvarcomb[k1]){
                   7098:         fprintf(fichtm,"\n<h4>Combination (%d) ignored because no cases </h4>\n",k1); 
                   7099:         continue;
                   7100:        }
1.126     brouard  7101:      }
                   7102:      for(cpt=1; cpt<=nlstate;cpt++) {
1.258     brouard  7103:        fprintf(fichtm,"\n<br>- Observed (cross-sectional with mov_average=%d) and period (incidence based) \
1.241     brouard  7104: 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  7105: <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  7106:      }
                   7107:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.128     brouard  7108: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
                   7109: true period expectancies (those weighted with period prevalences are also\
                   7110:  drawn in addition to the population based expectancies computed using\
1.241     brouard  7111:  observed and cahotic prevalences:  <a href=\"%s_%d-%d.svg\">%s_%d-%d.svg</a>\n<br>\
                   7112: <img src=\"%s_%d-%d.svg\">",subdirf2(optionfilefiname,"E_"),k1,nres,subdirf2(optionfilefiname,"E_"),k1,nres,subdirf2(optionfilefiname,"E_"),k1,nres);
1.222     brouard  7113:      /* } /\* end i1 *\/ */
                   7114:    }/* End k1 */
1.241     brouard  7115:   }/* End nres */
1.222     brouard  7116:    fprintf(fichtm,"</ul>");
                   7117:    fflush(fichtm);
1.126     brouard  7118: }
                   7119: 
                   7120: /******************* Gnuplot file **************/
1.296     brouard  7121: 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  7122: 
                   7123:   char dirfileres[132],optfileres[132];
1.264     brouard  7124:   char gplotcondition[132], gplotlabel[132];
1.237     brouard  7125:   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  7126:   int lv=0, vlv=0, kl=0;
1.130     brouard  7127:   int ng=0;
1.201     brouard  7128:   int vpopbased;
1.223     brouard  7129:   int ioffset; /* variable offset for columns */
1.270     brouard  7130:   int iyearc=1; /* variable column for year of projection  */
                   7131:   int iagec=1; /* variable column for age of projection  */
1.235     brouard  7132:   int nres=0; /* Index of resultline */
1.266     brouard  7133:   int istart=1; /* For starting graphs in projections */
1.219     brouard  7134: 
1.126     brouard  7135: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   7136: /*     printf("Problem with file %s",optionfilegnuplot); */
                   7137: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   7138: /*   } */
                   7139: 
                   7140:   /*#ifdef windows */
                   7141:   fprintf(ficgp,"cd \"%s\" \n",pathc);
1.223     brouard  7142:   /*#endif */
1.225     brouard  7143:   m=pow(2,cptcoveff);
1.126     brouard  7144: 
1.274     brouard  7145:   /* diagram of the model */
                   7146:   fprintf(ficgp,"\n#Diagram of the model \n");
                   7147:   fprintf(ficgp,"\ndelta=0.03;delta2=0.07;unset arrow;\n");
                   7148:   fprintf(ficgp,"yoff=(%d > 2? 0:1);\n",nlstate);
                   7149:   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);
                   7150: 
                   7151:   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);
                   7152:   fprintf(ficgp,"\n#show arrow\nunset label\n");
                   7153:   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);
                   7154:   fprintf(ficgp,"\nset label %d+1 sprintf(\"State %%d\",%d+1) center at 0.,0.  font \"helvetica, 16\" tc rgbcolor \"red\"\n",nlstate,nlstate);
                   7155:   fprintf(ficgp,"\n#show label\nunset border;unset xtics; unset ytics;\n");
                   7156:   fprintf(ficgp,"\n\nset ter svg size 640, 480;set out \"%s_.svg\" \n",subdirf2(optionfilefiname,"D_"));
                   7157:   fprintf(ficgp,"unset log y; plot [-1.2:1.2][yoff-1.2:1.2] 1/0 not; set out;reset;\n");
                   7158: 
1.202     brouard  7159:   /* Contribution to likelihood */
                   7160:   /* Plot the probability implied in the likelihood */
1.223     brouard  7161:   fprintf(ficgp,"\n# Contributions to the Likelihood, mle >=1. For mle=4 no interpolation, pure matrix products.\n#\n");
                   7162:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Likelihood (-2Log(L))\";");
                   7163:   /* fprintf(ficgp,"\nset ter svg size 640, 480"); */ /* Too big for svg */
                   7164:   fprintf(ficgp,"\nset ter pngcairo size 640, 480");
1.204     brouard  7165: /* nice for mle=4 plot by number of matrix products.
1.202     brouard  7166:    replot  "rrtest1/toto.txt" u 2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with point lc 1 */
                   7167: /* replot exp(p1+p2*x)/(1+exp(p1+p2*x)+exp(p3+p4*x)+exp(p5+p6*x)) t "p12(x)"  */
1.223     brouard  7168:   /* fprintf(ficgp,"\nset out \"%s.svg\";",subdirf2(optionfilefiname,"ILK_")); */
                   7169:   fprintf(ficgp,"\nset out \"%s-dest.png\";",subdirf2(optionfilefiname,"ILK_"));
                   7170:   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));
                   7171:   fprintf(ficgp,"\nset out \"%s-ori.png\";",subdirf2(optionfilefiname,"ILK_"));
                   7172:   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));
                   7173:   for (i=1; i<= nlstate ; i ++) {
                   7174:     fprintf(ficgp,"\nset out \"%s-p%dj.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i);
                   7175:     fprintf(ficgp,"unset log;\n# plot weighted, mean weight should have point size of 0.5\n plot  \"%s\"",subdirf(fileresilk));
                   7176:     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);
                   7177:     for (j=2; j<= nlstate+ndeath ; j ++) {
                   7178:       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);
                   7179:     }
                   7180:     fprintf(ficgp,";\nset out; unset ylabel;\n"); 
                   7181:   }
                   7182:   /* 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 */               
                   7183:   /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
                   7184:   /* fprintf(ficgp,"\nreplot  \"%s\" u 2:($3 <= 3 ? -$11 : 1/0):3 t \"First 3 individuals\" with line lc variable", subdirf(fileresilk)); */
                   7185:   fprintf(ficgp,"\nset out;unset log\n");
                   7186:   /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
1.202     brouard  7187: 
1.126     brouard  7188:   strcpy(dirfileres,optionfilefiname);
                   7189:   strcpy(optfileres,"vpl");
1.223     brouard  7190:   /* 1eme*/
1.238     brouard  7191:   for (cpt=1; cpt<= nlstate ; cpt ++){ /* For each live state */
                   7192:     for (k1=1; k1<= m ; k1 ++){ /* For each valid combination of covariate */
1.236     brouard  7193:       for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.238     brouard  7194:        /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
1.253     brouard  7195:        if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7196:          continue;
                   7197:        /* We are interested in selected combination by the resultline */
1.246     brouard  7198:        /* printf("\n# 1st: Period (stable) prevalence with CI: 'VPL_' files and live state =%d ", cpt); */
1.288     brouard  7199:        fprintf(ficgp,"\n# 1st: Forward (stable period) prevalence with CI: 'VPL_' files  and live state =%d ", cpt);
1.264     brouard  7200:        strcpy(gplotlabel,"(");
1.238     brouard  7201:        for (k=1; k<=cptcoveff; k++){    /* For each covariate k get corresponding value lv for combination k1 */
                   7202:          lv= decodtabm(k1,k,cptcoveff); /* Should be the value of the covariate corresponding to k1 combination */
                   7203:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7204:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7205:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7206:          vlv= nbcode[Tvaraff[k]][lv]; /* vlv is the value of the covariate lv, 0 or 1 */
                   7207:          /* For each combination of covariate k1 (V1=1, V3=0), we printed the current covariate k and its value vlv */
1.246     brouard  7208:          /* printf(" V%d=%d ",Tvaraff[k],vlv); */
1.238     brouard  7209:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7210:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7211:        }
                   7212:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.246     brouard  7213:          /* printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
1.238     brouard  7214:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7215:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7216:        }
                   7217:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.246     brouard  7218:        /* printf("\n#\n"); */
1.238     brouard  7219:        fprintf(ficgp,"\n#\n");
                   7220:        if(invalidvarcomb[k1]){
1.260     brouard  7221:           /*k1=k1-1;*/ /* To be checked */
1.238     brouard  7222:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7223:          continue;
                   7224:        }
1.235     brouard  7225:       
1.241     brouard  7226:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1,nres);
                   7227:        fprintf(ficgp,"\n#set out \"V_%s_%d-%d-%d.svg\" \n",optionfilefiname,cpt,k1,nres);
1.276     brouard  7228:        /* fprintf(ficgp,"set label \"Alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel); */
                   7229:        fprintf(ficgp,"set title \"Alive state %d %s\" font \"Helvetica,12\"\n",cpt,gplotlabel);
1.260     brouard  7230:        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);
                   7231:        /* 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); */
                   7232:       /* k1-1 error should be nres-1*/
1.238     brouard  7233:        for (i=1; i<= nlstate ; i ++) {
                   7234:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7235:          else        fprintf(ficgp," %%*lf (%%*lf)");
                   7236:        }
1.288     brouard  7237:        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  7238:        for (i=1; i<= nlstate ; i ++) {
                   7239:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7240:          else fprintf(ficgp," %%*lf (%%*lf)");
                   7241:        } 
1.260     brouard  7242:        fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2==%d ? $3-1.96*$4 : 1/0) \"%%lf %%lf",subdirf2(fileresu,"VPL_"),nres-1,nres-1,nres); 
1.238     brouard  7243:        for (i=1; i<= nlstate ; i ++) {
                   7244:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7245:          else fprintf(ficgp," %%*lf (%%*lf)");
                   7246:        }  
1.265     brouard  7247:        /* fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence\" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1)); */
                   7248:        
                   7249:        fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" u 1:((",subdirf2(fileresu,"P_"));
                   7250:         if(cptcoveff ==0){
1.271     brouard  7251:          fprintf(ficgp,"$%d)) t 'Observed prevalence in state %d' with line lt 3",      2+3*(cpt-1),  cpt );
1.265     brouard  7252:        }else{
                   7253:          kl=0;
                   7254:          for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
                   7255:            lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7256:            /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7257:            /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7258:            /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7259:            vlv= nbcode[Tvaraff[k]][lv];
                   7260:            kl++;
                   7261:            /* 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 *\/ */
                   7262:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7263:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7264:            /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
                   7265:            if(k==cptcoveff){
                   7266:              fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Observed prevalence in state %d' w l lt 2",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
                   7267:                      2+cptcoveff*2+3*(cpt-1),  cpt );  /* 4 or 6 ?*/
                   7268:            }else{
                   7269:              fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                   7270:              kl++;
                   7271:            }
                   7272:          } /* end covariate */
                   7273:        } /* end if no covariate */
                   7274: 
1.296     brouard  7275:        if(prevbcast==1){ /* We need to get the corresponding values of the covariates involved in this combination k1 */
1.238     brouard  7276:          /* fprintf(ficgp,",\"%s\" every :::%d::%d u 1:($%d) t\"Backward stable prevalence\" w l lt 3",subdirf2(fileresu,"PLB_"),k1-1,k1-1,1+cpt); */
1.242     brouard  7277:          fprintf(ficgp,",\"%s\" u 1:((",subdirf2(fileresu,"PLB_")); /* Age is in 1, nres in 2 to be fixed */
1.238     brouard  7278:          if(cptcoveff ==0){
1.245     brouard  7279:            fprintf(ficgp,"$%d)) t 'Backward prevalence in state %d' with line lt 3",    2+(cpt-1),  cpt );
1.238     brouard  7280:          }else{
                   7281:            kl=0;
                   7282:            for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
                   7283:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7284:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7285:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7286:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7287:              vlv= nbcode[Tvaraff[k]][lv];
1.223     brouard  7288:              kl++;
1.238     brouard  7289:              /* 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 *\/ */
                   7290:              /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7291:              /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7292:              /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
                   7293:              if(k==cptcoveff){
1.245     brouard  7294:                fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Backward prevalence in state %d' w l lt 3",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
1.242     brouard  7295:                        2+cptcoveff*2+(cpt-1),  cpt );  /* 4 or 6 ?*/
1.238     brouard  7296:              }else{
                   7297:                fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                   7298:                kl++;
                   7299:              }
                   7300:            } /* end covariate */
                   7301:          } /* end if no covariate */
1.296     brouard  7302:          if(prevbcast == 1){
1.268     brouard  7303:            fprintf(ficgp,", \"%s\" every :::%d::%d u 1:($2==%d ? $3:1/0) \"%%lf %%lf",subdirf2(fileresu,"VBL_"),nres-1,nres-1,nres);
                   7304:            /* k1-1 error should be nres-1*/
                   7305:            for (i=1; i<= nlstate ; i ++) {
                   7306:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7307:              else        fprintf(ficgp," %%*lf (%%*lf)");
                   7308:            }
1.271     brouard  7309:            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  7310:            for (i=1; i<= nlstate ; i ++) {
                   7311:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7312:              else fprintf(ficgp," %%*lf (%%*lf)");
                   7313:            } 
1.276     brouard  7314:            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  7315:            for (i=1; i<= nlstate ; i ++) {
                   7316:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7317:              else fprintf(ficgp," %%*lf (%%*lf)");
                   7318:            } 
1.274     brouard  7319:            fprintf(ficgp,"\" t\"\" w l lt 4");
1.268     brouard  7320:          } /* end if backprojcast */
1.296     brouard  7321:        } /* end if prevbcast */
1.276     brouard  7322:        /* fprintf(ficgp,"\nset out ;unset label;\n"); */
                   7323:        fprintf(ficgp,"\nset out ;unset title;\n");
1.238     brouard  7324:       } /* nres */
1.201     brouard  7325:     } /* k1 */
                   7326:   } /* cpt */
1.235     brouard  7327: 
                   7328:   
1.126     brouard  7329:   /*2 eme*/
1.238     brouard  7330:   for (k1=1; k1<= m ; k1 ++){  
                   7331:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7332:       if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7333:        continue;
                   7334:       fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files ");
1.264     brouard  7335:       strcpy(gplotlabel,"(");
1.238     brouard  7336:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.225     brouard  7337:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  7338:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7339:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7340:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7341:        vlv= nbcode[Tvaraff[k]][lv];
                   7342:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7343:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  7344:       }
1.237     brouard  7345:       /* for(k=1; k <= ncovds; k++){ */
1.236     brouard  7346:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.238     brouard  7347:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.236     brouard  7348:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7349:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7350:       }
1.264     brouard  7351:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.211     brouard  7352:       fprintf(ficgp,"\n#\n");
1.223     brouard  7353:       if(invalidvarcomb[k1]){
                   7354:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7355:        continue;
                   7356:       }
1.219     brouard  7357:                        
1.241     brouard  7358:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"E_"),k1,nres);
1.238     brouard  7359:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.264     brouard  7360:        fprintf(ficgp,"\nset label \"popbased %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",vpopbased,gplotlabel);
                   7361:        if(vpopbased==0){
1.238     brouard  7362:          fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
1.264     brouard  7363:        }else
1.238     brouard  7364:          fprintf(ficgp,"\nreplot ");
                   7365:        for (i=1; i<= nlstate+1 ; i ++) {
                   7366:          k=2*i;
1.261     brouard  7367:          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  7368:          for (j=1; j<= nlstate+1 ; j ++) {
                   7369:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7370:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7371:          }   
                   7372:          if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l lt %d, \\\n",i);
                   7373:          else fprintf(ficgp,"\" t\"LE in state (%d)\" w l lt %d, \\\n",i-1,i+1);
1.261     brouard  7374:          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  7375:          for (j=1; j<= nlstate+1 ; j ++) {
                   7376:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7377:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7378:          }   
                   7379:          fprintf(ficgp,"\" t\"\" w l lt 0,");
1.261     brouard  7380:          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  7381:          for (j=1; j<= nlstate+1 ; j ++) {
                   7382:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7383:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7384:          }   
                   7385:          if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   7386:          else fprintf(ficgp,"\" t\"\" w l lt 0,\\\n");
                   7387:        } /* state */
                   7388:       } /* vpopbased */
1.264     brouard  7389:       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  7390:     } /* end nres */
                   7391:   } /* k1 end 2 eme*/
                   7392:        
                   7393:        
                   7394:   /*3eme*/
                   7395:   for (k1=1; k1<= m ; k1 ++){
                   7396:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7397:       if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7398:        continue;
                   7399: 
                   7400:       for (cpt=1; cpt<= nlstate ; cpt ++) {
1.261     brouard  7401:        fprintf(ficgp,"\n\n# 3d: Life expectancy with EXP_ files:  combination=%d state=%d",k1, cpt);
1.264     brouard  7402:        strcpy(gplotlabel,"(");
1.238     brouard  7403:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7404:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7405:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7406:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7407:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7408:          vlv= nbcode[Tvaraff[k]][lv];
                   7409:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7410:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7411:        }
                   7412:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7413:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7414:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7415:        }       
1.264     brouard  7416:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7417:        fprintf(ficgp,"\n#\n");
                   7418:        if(invalidvarcomb[k1]){
                   7419:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7420:          continue;
                   7421:        }
                   7422:                        
                   7423:        /*       k=2+nlstate*(2*cpt-2); */
                   7424:        k=2+(nlstate+1)*(cpt-1);
1.241     brouard  7425:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres);
1.264     brouard  7426:        fprintf(ficgp,"set label \"%s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",gplotlabel);
1.238     brouard  7427:        fprintf(ficgp,"set ter svg size 640, 480\n\
1.261     brouard  7428: 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  7429:        /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   7430:          for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   7431:          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   7432:          fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   7433:          for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   7434:          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
1.219     brouard  7435:                                
1.238     brouard  7436:        */
                   7437:        for (i=1; i< nlstate ; i ++) {
1.261     brouard  7438:          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  7439:          /*    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  7440:                                
1.238     brouard  7441:        } 
1.261     brouard  7442:        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  7443:       }
1.264     brouard  7444:       fprintf(ficgp,"\nunset label;\n");
1.238     brouard  7445:     } /* end nres */
                   7446:   } /* end kl 3eme */
1.126     brouard  7447:   
1.223     brouard  7448:   /* 4eme */
1.201     brouard  7449:   /* Survival functions (period) from state i in state j by initial state i */
1.238     brouard  7450:   for (k1=1; k1<=m; k1++){    /* For each covariate and each value */
                   7451:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7452:       if(m != 1 && TKresult[nres]!= k1)
1.223     brouard  7453:        continue;
1.238     brouard  7454:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state cpt*/
1.264     brouard  7455:        strcpy(gplotlabel,"(");
1.238     brouard  7456:        fprintf(ficgp,"\n#\n#\n# Survival functions in state j : 'LIJ_' files, cov=%d state=%d",k1, cpt);
                   7457:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7458:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7459:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7460:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7461:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7462:          vlv= nbcode[Tvaraff[k]][lv];
                   7463:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7464:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7465:        }
                   7466:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7467:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7468:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7469:        }       
1.264     brouard  7470:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7471:        fprintf(ficgp,"\n#\n");
                   7472:        if(invalidvarcomb[k1]){
                   7473:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7474:          continue;
1.223     brouard  7475:        }
1.238     brouard  7476:       
1.241     brouard  7477:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres);
1.264     brouard  7478:        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  7479:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   7480: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7481:        k=3;
                   7482:        for (i=1; i<= nlstate ; i ++){
                   7483:          if(i==1){
                   7484:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7485:          }else{
                   7486:            fprintf(ficgp,", '' ");
                   7487:          }
                   7488:          l=(nlstate+ndeath)*(i-1)+1;
                   7489:          fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   7490:          for (j=2; j<= nlstate+ndeath ; j ++)
                   7491:            fprintf(ficgp,"+$%d",k+l+j-1);
                   7492:          fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
                   7493:        } /* nlstate */
1.264     brouard  7494:        fprintf(ficgp,"\nset out; unset label;\n");
1.238     brouard  7495:       } /* end cpt state*/ 
                   7496:     } /* end nres */
                   7497:   } /* end covariate k1 */  
                   7498: 
1.220     brouard  7499: /* 5eme */
1.201     brouard  7500:   /* Survival functions (period) from state i in state j by final state j */
1.238     brouard  7501:   for (k1=1; k1<= m ; k1++){ /* For each covariate combination if any */
                   7502:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7503:       if(m != 1 && TKresult[nres]!= k1)
1.227     brouard  7504:        continue;
1.238     brouard  7505:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each inital state  */
1.264     brouard  7506:        strcpy(gplotlabel,"(");
1.238     brouard  7507:        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);
                   7508:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7509:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7510:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7511:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7512:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7513:          vlv= nbcode[Tvaraff[k]][lv];
                   7514:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7515:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7516:        }
                   7517:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7518:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7519:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7520:        }       
1.264     brouard  7521:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7522:        fprintf(ficgp,"\n#\n");
                   7523:        if(invalidvarcomb[k1]){
                   7524:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7525:          continue;
                   7526:        }
1.227     brouard  7527:       
1.241     brouard  7528:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres);
1.264     brouard  7529:        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  7530:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   7531: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7532:        k=3;
                   7533:        for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   7534:          if(j==1)
                   7535:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7536:          else
                   7537:            fprintf(ficgp,", '' ");
                   7538:          l=(nlstate+ndeath)*(cpt-1) +j;
                   7539:          fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):($%d",k1,k+l);
                   7540:          /* for (i=2; i<= nlstate+ndeath ; i ++) */
                   7541:          /*   fprintf(ficgp,"+$%d",k+l+i-1); */
                   7542:          fprintf(ficgp,") t \"l(%d,%d)\" w l",cpt,j);
                   7543:        } /* nlstate */
                   7544:        fprintf(ficgp,", '' ");
                   7545:        fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):(",k1);
                   7546:        for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   7547:          l=(nlstate+ndeath)*(cpt-1) +j;
                   7548:          if(j < nlstate)
                   7549:            fprintf(ficgp,"$%d +",k+l);
                   7550:          else
                   7551:            fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
                   7552:        }
1.264     brouard  7553:        fprintf(ficgp,"\nset out; unset label;\n");
1.238     brouard  7554:       } /* end cpt state*/ 
                   7555:     } /* end covariate */  
                   7556:   } /* end nres */
1.227     brouard  7557:   
1.220     brouard  7558: /* 6eme */
1.202     brouard  7559:   /* CV preval stable (period) for each covariate */
1.237     brouard  7560:   for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7561:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7562:     if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7563:       continue;
1.255     brouard  7564:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state of arrival */
1.264     brouard  7565:       strcpy(gplotlabel,"(");      
1.288     brouard  7566:       fprintf(ficgp,"\n#\n#\n#CV preval stable (forward): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
1.225     brouard  7567:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.227     brouard  7568:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7569:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7570:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7571:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7572:        vlv= nbcode[Tvaraff[k]][lv];
                   7573:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7574:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  7575:       }
1.237     brouard  7576:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7577:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7578:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7579:       }        
1.264     brouard  7580:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.211     brouard  7581:       fprintf(ficgp,"\n#\n");
1.223     brouard  7582:       if(invalidvarcomb[k1]){
1.227     brouard  7583:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7584:        continue;
1.223     brouard  7585:       }
1.227     brouard  7586:       
1.241     brouard  7587:       fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"P_"),cpt,k1,nres);
1.264     brouard  7588:       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  7589:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.238     brouard  7590: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  7591:       k=3; /* Offset */
1.255     brouard  7592:       for (i=1; i<= nlstate ; i ++){ /* State of origin */
1.227     brouard  7593:        if(i==1)
                   7594:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7595:        else
                   7596:          fprintf(ficgp,", '' ");
1.255     brouard  7597:        l=(nlstate+ndeath)*(i-1)+1; /* 1, 1+ nlstate+ndeath, 1+2*(nlstate+ndeath) */
1.227     brouard  7598:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   7599:        for (j=2; j<= nlstate ; j ++)
                   7600:          fprintf(ficgp,"+$%d",k+l+j-1);
                   7601:        fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
1.153     brouard  7602:       } /* nlstate */
1.264     brouard  7603:       fprintf(ficgp,"\nset out; unset label;\n");
1.153     brouard  7604:     } /* end cpt state*/ 
                   7605:   } /* end covariate */  
1.227     brouard  7606:   
                   7607:   
1.220     brouard  7608: /* 7eme */
1.296     brouard  7609:   if(prevbcast == 1){
1.288     brouard  7610:     /* CV backward prevalence  for each covariate */
1.237     brouard  7611:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7612:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7613:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7614:        continue;
1.268     brouard  7615:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life origin state */
1.264     brouard  7616:        strcpy(gplotlabel,"(");      
1.288     brouard  7617:        fprintf(ficgp,"\n#\n#\n#CV Backward stable prevalence: 'pijb' files, covariatecombination#=%d state=%d",k1, cpt);
1.227     brouard  7618:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7619:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7620:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7621:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
1.223     brouard  7622:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
1.227     brouard  7623:          vlv= nbcode[Tvaraff[k]][lv];
                   7624:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7625:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.227     brouard  7626:        }
1.237     brouard  7627:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7628:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7629:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7630:        }       
1.264     brouard  7631:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.227     brouard  7632:        fprintf(ficgp,"\n#\n");
                   7633:        if(invalidvarcomb[k1]){
                   7634:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7635:          continue;
                   7636:        }
                   7637:        
1.241     brouard  7638:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PB_"),cpt,k1,nres);
1.268     brouard  7639:        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  7640:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.238     brouard  7641: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.227     brouard  7642:        k=3; /* Offset */
1.268     brouard  7643:        for (i=1; i<= nlstate ; i ++){ /* State of arrival */
1.227     brouard  7644:          if(i==1)
                   7645:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJB_"));
                   7646:          else
                   7647:            fprintf(ficgp,", '' ");
                   7648:          /* l=(nlstate+ndeath)*(i-1)+1; */
1.255     brouard  7649:          l=(nlstate+ndeath)*(cpt-1)+1; /* fixed for i; cpt=1 1, cpt=2 1+ nlstate+ndeath, 1+2*(nlstate+ndeath) */
1.227     brouard  7650:          /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l); /\* a vérifier *\/ */
                   7651:          /* 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  7652:          fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d",k1,k+l+i-1); /* To be verified */
1.227     brouard  7653:          /* for (j=2; j<= nlstate ; j ++) */
                   7654:          /*    fprintf(ficgp,"+$%d",k+l+j-1); */
                   7655:          /*    /\* fprintf(ficgp,"+$%d",k+l+j-1); *\/ */
1.268     brouard  7656:          fprintf(ficgp,") t \"bprev(%d,%d)\" w l",cpt,i);
1.227     brouard  7657:        } /* nlstate */
1.264     brouard  7658:        fprintf(ficgp,"\nset out; unset label;\n");
1.218     brouard  7659:       } /* end cpt state*/ 
                   7660:     } /* end covariate */  
1.296     brouard  7661:   } /* End if prevbcast */
1.218     brouard  7662:   
1.223     brouard  7663:   /* 8eme */
1.218     brouard  7664:   if(prevfcast==1){
1.288     brouard  7665:     /* Projection from cross-sectional to forward stable (period) prevalence for each covariate */
1.218     brouard  7666:     
1.237     brouard  7667:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7668:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7669:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7670:        continue;
1.211     brouard  7671:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.264     brouard  7672:        strcpy(gplotlabel,"(");      
1.288     brouard  7673:        fprintf(ficgp,"\n#\n#\n#Projection of prevalence to forward stable prevalence (period): 'PROJ_' files, covariatecombination#=%d state=%d",k1, cpt);
1.227     brouard  7674:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   7675:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7676:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7677:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7678:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7679:          vlv= nbcode[Tvaraff[k]][lv];
                   7680:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7681:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.227     brouard  7682:        }
1.237     brouard  7683:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7684:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7685:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7686:        }       
1.264     brouard  7687:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.227     brouard  7688:        fprintf(ficgp,"\n#\n");
                   7689:        if(invalidvarcomb[k1]){
                   7690:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7691:          continue;
                   7692:        }
                   7693:        
                   7694:        fprintf(ficgp,"# hpijx=probability over h years, hp.jx is weighted by observed prev\n ");
1.241     brouard  7695:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres);
1.264     brouard  7696:        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  7697:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
1.238     brouard  7698: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.266     brouard  7699: 
                   7700:        /* for (i=1; i<= nlstate+1 ; i ++){  /\* nlstate +1 p11 p21 p.1 *\/ */
                   7701:        istart=nlstate+1; /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7702:        /*istart=1;*/ /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7703:        for (i=istart; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
1.227     brouard  7704:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7705:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   7706:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7707:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
1.266     brouard  7708:          if(i==istart){
1.227     brouard  7709:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"F_"));
                   7710:          }else{
                   7711:            fprintf(ficgp,",\\\n '' ");
                   7712:          }
                   7713:          if(cptcoveff ==0){ /* No covariate */
                   7714:            ioffset=2; /* Age is in 2 */
                   7715:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7716:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7717:            /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7718:            /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7719:            fprintf(ficgp," u %d:(", ioffset); 
1.266     brouard  7720:            if(i==nlstate+1){
1.270     brouard  7721:              fprintf(ficgp," $%d/(1.-$%d)):1 t 'pw.%d' with line lc variable ",        \
1.266     brouard  7722:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   7723:              fprintf(ficgp,",\\\n '' ");
                   7724:              fprintf(ficgp," u %d:(",ioffset); 
1.270     brouard  7725:              fprintf(ficgp," (($1-$2) == %d ) ? $%d/(1.-$%d) : 1/0):1 with labels center not ", \
1.266     brouard  7726:                     offyear,                           \
1.268     brouard  7727:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate );
1.266     brouard  7728:            }else
1.227     brouard  7729:              fprintf(ficgp," $%d/(1.-$%d)) t 'p%d%d' with line ",      \
                   7730:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   7731:          }else{ /* more than 2 covariates */
1.270     brouard  7732:            ioffset=2*cptcoveff+2; /* Age is in 4 or 6 or etc.*/
                   7733:            /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7734:            /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
                   7735:            iyearc=ioffset-1;
                   7736:            iagec=ioffset;
1.227     brouard  7737:            fprintf(ficgp," u %d:(",ioffset); 
                   7738:            kl=0;
                   7739:            strcpy(gplotcondition,"(");
                   7740:            for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                   7741:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
                   7742:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7743:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7744:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7745:              vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   7746:              kl++;
                   7747:              sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                   7748:              kl++;
                   7749:              if(k <cptcoveff && cptcoveff>1)
                   7750:                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   7751:            }
                   7752:            strcpy(gplotcondition+strlen(gplotcondition),")");
                   7753:            /* 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 *\/ */
                   7754:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7755:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7756:            /* ''  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*/
                   7757:            if(i==nlstate+1){
1.270     brouard  7758:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0):%d t 'p.%d' with line lc variable", gplotcondition, \
                   7759:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,iyearc, cpt );
1.266     brouard  7760:              fprintf(ficgp,",\\\n '' ");
1.270     brouard  7761:              fprintf(ficgp," u %d:(",iagec); 
                   7762:              fprintf(ficgp,"%s && (($%d-$%d) == %d ) ? $%d/(1.-$%d) : 1/0):%d with labels center not ", gplotcondition, \
                   7763:                      iyearc, iagec, offyear,                           \
                   7764:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate, iyearc );
1.266     brouard  7765: /*  '' 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  7766:            }else{
                   7767:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \
                   7768:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), ioffset +1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   7769:            }
                   7770:          } /* end if covariate */
                   7771:        } /* nlstate */
1.264     brouard  7772:        fprintf(ficgp,"\nset out; unset label;\n");
1.223     brouard  7773:       } /* end cpt state*/
                   7774:     } /* end covariate */
                   7775:   } /* End if prevfcast */
1.227     brouard  7776:   
1.296     brouard  7777:   if(prevbcast==1){
1.268     brouard  7778:     /* Back projection from cross-sectional to stable (mixed) for each covariate */
                   7779:     
                   7780:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7781:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   7782:       if(m != 1 && TKresult[nres]!= k1)
                   7783:        continue;
                   7784:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
                   7785:        strcpy(gplotlabel,"(");      
                   7786:        fprintf(ficgp,"\n#\n#\n#Back projection of prevalence to stable (mixed) back prevalence: 'BPROJ_' files, covariatecombination#=%d originstate=%d",k1, cpt);
                   7787:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   7788:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7789:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7790:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7791:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7792:          vlv= nbcode[Tvaraff[k]][lv];
                   7793:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   7794:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
                   7795:        }
                   7796:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7797:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7798:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7799:        }       
                   7800:        strcpy(gplotlabel+strlen(gplotlabel),")");
                   7801:        fprintf(ficgp,"\n#\n");
                   7802:        if(invalidvarcomb[k1]){
                   7803:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7804:          continue;
                   7805:        }
                   7806:        
                   7807:        fprintf(ficgp,"# hbijx=backprobability over h years, hb.jx is weighted by observed prev at destination state\n ");
                   7808:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres);
                   7809:        fprintf(ficgp,"set label \"Origin alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
                   7810:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
                   7811: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7812: 
                   7813:        /* for (i=1; i<= nlstate+1 ; i ++){  /\* nlstate +1 p11 p21 p.1 *\/ */
                   7814:        istart=nlstate+1; /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7815:        /*istart=1;*/ /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7816:        for (i=istart; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
                   7817:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7818:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   7819:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7820:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   7821:          if(i==istart){
                   7822:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"FB_"));
                   7823:          }else{
                   7824:            fprintf(ficgp,",\\\n '' ");
                   7825:          }
                   7826:          if(cptcoveff ==0){ /* No covariate */
                   7827:            ioffset=2; /* Age is in 2 */
                   7828:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7829:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7830:            /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7831:            /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7832:            fprintf(ficgp," u %d:(", ioffset); 
                   7833:            if(i==nlstate+1){
1.270     brouard  7834:              fprintf(ficgp," $%d/(1.-$%d)):1 t 'bw%d' with line lc variable ", \
1.268     brouard  7835:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   7836:              fprintf(ficgp,",\\\n '' ");
                   7837:              fprintf(ficgp," u %d:(",ioffset); 
1.270     brouard  7838:              fprintf(ficgp," (($1-$2) == %d ) ? $%d : 1/0):1 with labels center not ", \
1.268     brouard  7839:                     offbyear,                          \
                   7840:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1) );
                   7841:            }else
                   7842:              fprintf(ficgp," $%d/(1.-$%d)) t 'b%d%d' with line ",      \
                   7843:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt,i );
                   7844:          }else{ /* more than 2 covariates */
1.270     brouard  7845:            ioffset=2*cptcoveff+2; /* Age is in 4 or 6 or etc.*/
                   7846:            /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7847:            /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
                   7848:            iyearc=ioffset-1;
                   7849:            iagec=ioffset;
1.268     brouard  7850:            fprintf(ficgp," u %d:(",ioffset); 
                   7851:            kl=0;
                   7852:            strcpy(gplotcondition,"(");
                   7853:            for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                   7854:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
                   7855:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7856:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7857:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7858:              vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   7859:              kl++;
                   7860:              sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                   7861:              kl++;
                   7862:              if(k <cptcoveff && cptcoveff>1)
                   7863:                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   7864:            }
                   7865:            strcpy(gplotcondition+strlen(gplotcondition),")");
                   7866:            /* 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 *\/ */
                   7867:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7868:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7869:            /* ''  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*/
                   7870:            if(i==nlstate+1){
1.270     brouard  7871:              fprintf(ficgp,"%s ? $%d : 1/0):%d t 'bw%d' with line lc variable", gplotcondition, \
                   7872:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),iyearc,cpt );
1.268     brouard  7873:              fprintf(ficgp,",\\\n '' ");
1.270     brouard  7874:              fprintf(ficgp," u %d:(",iagec); 
1.268     brouard  7875:              /* fprintf(ficgp,"%s && (($5-$6) == %d ) ? $%d/(1.-$%d) : 1/0):5 with labels center not ", gplotcondition, \ */
1.270     brouard  7876:              fprintf(ficgp,"%s && (($%d-$%d) == %d ) ? $%d : 1/0):%d with labels center not ", gplotcondition, \
                   7877:                      iyearc,iagec,offbyear,                            \
                   7878:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), iyearc );
1.268     brouard  7879: /*  '' u 6:(($1==1 && $2==0  && $3==2 && $4==0) && (($5-$6) == 1947) ? $10/(1.-$22) : 1/0):5 with labels center boxed not*/
                   7880:            }else{
                   7881:              /* fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \ */
                   7882:              fprintf(ficgp,"%s ? $%d : 1/0) t 'b%d%d' with line ", gplotcondition, \
                   7883:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), cpt,i );
                   7884:            }
                   7885:          } /* end if covariate */
                   7886:        } /* nlstate */
                   7887:        fprintf(ficgp,"\nset out; unset label;\n");
                   7888:       } /* end cpt state*/
                   7889:     } /* end covariate */
1.296     brouard  7890:   } /* End if prevbcast */
1.268     brouard  7891:   
1.227     brouard  7892:   
1.238     brouard  7893:   /* 9eme writing MLE parameters */
                   7894:   fprintf(ficgp,"\n##############\n#9eme MLE estimated parameters\n#############\n");
1.126     brouard  7895:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  7896:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  7897:     for(k=1; k <=(nlstate+ndeath); k++){
                   7898:       if (k != i) {
1.227     brouard  7899:        fprintf(ficgp,"#   current state %d\n",k);
                   7900:        for(j=1; j <=ncovmodel; j++){
                   7901:          fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
                   7902:          jk++; 
                   7903:        }
                   7904:        fprintf(ficgp,"\n");
1.126     brouard  7905:       }
                   7906:     }
1.223     brouard  7907:   }
1.187     brouard  7908:   fprintf(ficgp,"##############\n#\n");
1.227     brouard  7909:   
1.145     brouard  7910:   /*goto avoid;*/
1.238     brouard  7911:   /* 10eme Graphics of probabilities or incidences using written MLE parameters */
                   7912:   fprintf(ficgp,"\n##############\n#10eme Graphics of probabilities or incidences\n#############\n");
1.187     brouard  7913:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   7914:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   7915:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   7916:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   7917:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   7918:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   7919:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   7920:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   7921:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   7922:   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   7923:   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
                   7924:   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   7925:   fprintf(ficgp,"#\n");
1.223     brouard  7926:   for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
1.238     brouard  7927:     fprintf(ficgp,"#Number of graphics: first is logit, 2nd is probabilities, third is incidences per year\n");
1.237     brouard  7928:     fprintf(ficgp,"#model=%s \n",model);
1.238     brouard  7929:     fprintf(ficgp,"# Type of graphic ng=%d\n",ng);
1.264     brouard  7930:     fprintf(ficgp,"#   k1=1 to 2^%d=%d\n",cptcoveff,m);/* to be checked */
                   7931:     for(k1=1; k1 <=m; k1++)  /* For each combination of covariate */
1.237     brouard  7932:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.264     brouard  7933:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7934:        continue;
1.264     brouard  7935:       fprintf(ficgp,"\n\n# Combination of dummy  k1=%d which is ",k1);
                   7936:       strcpy(gplotlabel,"(");
1.276     brouard  7937:       /*sprintf(gplotlabel+strlen(gplotlabel)," Dummy combination %d ",k1);*/
1.264     brouard  7938:       for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   7939:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7940:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7941:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7942:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7943:        vlv= nbcode[Tvaraff[k]][lv];
                   7944:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   7945:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
                   7946:       }
1.237     brouard  7947:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7948:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7949:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7950:       }        
1.264     brouard  7951:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.237     brouard  7952:       fprintf(ficgp,"\n#\n");
1.264     brouard  7953:       fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),k1,ng,nres);
1.276     brouard  7954:       fprintf(ficgp,"\nset key outside ");
                   7955:       /* fprintf(ficgp,"\nset label \"%s\" at graph 1.2,0.5 center rotate font \"Helvetica,12\"\n",gplotlabel); */
                   7956:       fprintf(ficgp,"\nset title \"%s\" font \"Helvetica,12\"\n",gplotlabel);
1.223     brouard  7957:       fprintf(ficgp,"\nset ter svg size 640, 480 ");
                   7958:       if (ng==1){
                   7959:        fprintf(ficgp,"\nset ylabel \"Value of the logit of the model\"\n"); /* exp(a12+b12*x) could be nice */
                   7960:        fprintf(ficgp,"\nunset log y");
                   7961:       }else if (ng==2){
                   7962:        fprintf(ficgp,"\nset ylabel \"Probability\"\n");
                   7963:        fprintf(ficgp,"\nset log y");
                   7964:       }else if (ng==3){
                   7965:        fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
                   7966:        fprintf(ficgp,"\nset log y");
                   7967:       }else
                   7968:        fprintf(ficgp,"\nunset title ");
                   7969:       fprintf(ficgp,"\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
                   7970:       i=1;
                   7971:       for(k2=1; k2<=nlstate; k2++) {
                   7972:        k3=i;
                   7973:        for(k=1; k<=(nlstate+ndeath); k++) {
                   7974:          if (k != k2){
                   7975:            switch( ng) {
                   7976:            case 1:
                   7977:              if(nagesqr==0)
                   7978:                fprintf(ficgp," p%d+p%d*x",i,i+1);
                   7979:              else /* nagesqr =1 */
                   7980:                fprintf(ficgp," p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   7981:              break;
                   7982:            case 2: /* ng=2 */
                   7983:              if(nagesqr==0)
                   7984:                fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   7985:              else /* nagesqr =1 */
                   7986:                fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   7987:              break;
                   7988:            case 3:
                   7989:              if(nagesqr==0)
                   7990:                fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   7991:              else /* nagesqr =1 */
                   7992:                fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                   7993:              break;
                   7994:            }
                   7995:            ij=1;/* To be checked else nbcode[0][0] wrong */
1.237     brouard  7996:            ijp=1; /* product no age */
                   7997:            /* for(j=3; j <=ncovmodel-nagesqr; j++) { */
                   7998:            for(j=1; j <=cptcovt; j++) { /* For each covariate of the simplified model */
1.223     brouard  7999:              /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
1.268     brouard  8000:              if(cptcovage >0){ /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
                   8001:                if(j==Tage[ij]) { /* Product by age  To be looked at!!*/
                   8002:                  if(ij <=cptcovage) { /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
                   8003:                    if(DummyV[j]==0){
                   8004:                      fprintf(ficgp,"+p%d*%d*x",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]);;
                   8005:                    }else{ /* quantitative */
                   8006:                      fprintf(ficgp,"+p%d*%f*x",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /* Tqinvresult in decoderesult */
                   8007:                      /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
                   8008:                    }
                   8009:                    ij++;
1.237     brouard  8010:                  }
1.268     brouard  8011:                } 
                   8012:              }else if(cptcovprod >0){
                   8013:                if(j==Tprod[ijp]) { /* */ 
                   8014:                  /* printf("Tprod[%d]=%d, j=%d\n", ij, Tprod[ijp], j); */
                   8015:                  if(ijp <=cptcovprod) { /* Product */
                   8016:                    if(DummyV[Tvard[ijp][1]]==0){/* Vn is dummy */
                   8017:                      if(DummyV[Tvard[ijp][2]]==0){/* Vn and Vm are dummy */
                   8018:                        /* 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)]); */
                   8019:                        fprintf(ficgp,"+p%d*%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tinvresult[nres][Tvard[ijp][2]]);
                   8020:                      }else{ /* Vn is dummy and Vm is quanti */
                   8021:                        /* fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,nbcode[Tvard[ijp][1]][codtabm(k1,j)],Tqinvresult[nres][Tvard[ijp][2]]); */
                   8022:                        fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
                   8023:                      }
                   8024:                    }else{ /* Vn*Vm Vn is quanti */
                   8025:                      if(DummyV[Tvard[ijp][2]]==0){
                   8026:                        fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][2]],Tqinvresult[nres][Tvard[ijp][1]]);
                   8027:                      }else{ /* Both quanti */
                   8028:                        fprintf(ficgp,"+p%d*%f*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
                   8029:                      }
1.237     brouard  8030:                    }
1.268     brouard  8031:                    ijp++;
1.237     brouard  8032:                  }
1.268     brouard  8033:                } /* end Tprod */
1.237     brouard  8034:              } else{  /* simple covariate */
1.264     brouard  8035:                /* fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,nbcode[Tvar[j]][codtabm(k1,j)]); /\* Valgrind bug nbcode *\/ */
1.237     brouard  8036:                if(Dummy[j]==0){
                   8037:                  fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]); /*  */
                   8038:                }else{ /* quantitative */
                   8039:                  fprintf(ficgp,"+p%d*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /* */
1.264     brouard  8040:                  /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
1.223     brouard  8041:                }
1.237     brouard  8042:              } /* end simple */
                   8043:            } /* end j */
1.223     brouard  8044:          }else{
                   8045:            i=i-ncovmodel;
                   8046:            if(ng !=1 ) /* For logit formula of log p11 is more difficult to get */
                   8047:              fprintf(ficgp," (1.");
                   8048:          }
1.227     brouard  8049:          
1.223     brouard  8050:          if(ng != 1){
                   8051:            fprintf(ficgp,")/(1");
1.227     brouard  8052:            
1.264     brouard  8053:            for(cpt=1; cpt <=nlstate; cpt++){ 
1.223     brouard  8054:              if(nagesqr==0)
1.264     brouard  8055:                fprintf(ficgp,"+exp(p%d+p%d*x",k3+(cpt-1)*ncovmodel,k3+(cpt-1)*ncovmodel+1);
1.223     brouard  8056:              else /* nagesqr =1 */
1.264     brouard  8057:                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  8058:               
1.223     brouard  8059:              ij=1;
                   8060:              for(j=3; j <=ncovmodel-nagesqr; j++){
1.268     brouard  8061:                 if(cptcovage >0){ 
                   8062:                   if((j-2)==Tage[ij]) { /* Bug valgrind */
                   8063:                     if(ij <=cptcovage) { /* Bug valgrind */
                   8064:                       fprintf(ficgp,"+p%d*%d*x",k3+(cpt-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(k1,j-2)]);
                   8065:                       /* fprintf(ficgp,"+p%d*%d*x",k3+(cpt-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
                   8066:                       ij++;
                   8067:                     }
                   8068:                   }
                   8069:                 }else
                   8070:                   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  8071:              }
                   8072:              fprintf(ficgp,")");
                   8073:            }
                   8074:            fprintf(ficgp,")");
                   8075:            if(ng ==2)
1.276     brouard  8076:              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  8077:            else /* ng= 3 */
1.276     brouard  8078:              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  8079:          }else{ /* end ng <> 1 */
                   8080:            if( k !=k2) /* logit p11 is hard to draw */
1.276     brouard  8081:              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  8082:          }
                   8083:          if ((k+k2)!= (nlstate*2+ndeath) && ng != 1)
                   8084:            fprintf(ficgp,",");
                   8085:          if (ng == 1 && k!=k2 && (k+k2)!= (nlstate*2+ndeath))
                   8086:            fprintf(ficgp,",");
                   8087:          i=i+ncovmodel;
                   8088:        } /* end k */
                   8089:       } /* end k2 */
1.276     brouard  8090:       /* fprintf(ficgp,"\n set out; unset label;set key default;\n"); */
                   8091:       fprintf(ficgp,"\n set out; unset title;set key default;\n");
1.264     brouard  8092:     } /* end k1 */
1.223     brouard  8093:   } /* end ng */
                   8094:   /* avoid: */
                   8095:   fflush(ficgp); 
1.126     brouard  8096: }  /* end gnuplot */
                   8097: 
                   8098: 
                   8099: /*************** Moving average **************/
1.219     brouard  8100: /* int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav, double bageout, double fageout){ */
1.222     brouard  8101:  int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav){
1.218     brouard  8102:    
1.222     brouard  8103:    int i, cpt, cptcod;
                   8104:    int modcovmax =1;
                   8105:    int mobilavrange, mob;
                   8106:    int iage=0;
1.288     brouard  8107:    int firstA1=0, firstA2=0;
1.222     brouard  8108: 
1.266     brouard  8109:    double sum=0., sumr=0.;
1.222     brouard  8110:    double age;
1.266     brouard  8111:    double *sumnewp, *sumnewm, *sumnewmr;
                   8112:    double *agemingood, *agemaxgood; 
                   8113:    double *agemingoodr, *agemaxgoodr; 
1.222     brouard  8114:   
                   8115:   
1.278     brouard  8116:    /* modcovmax=2*cptcoveff;  Max number of modalities. We suppose  */
                   8117:    /*             a covariate has 2 modalities, should be equal to ncovcombmax   */
1.222     brouard  8118: 
                   8119:    sumnewp = vector(1,ncovcombmax);
                   8120:    sumnewm = vector(1,ncovcombmax);
1.266     brouard  8121:    sumnewmr = vector(1,ncovcombmax);
1.222     brouard  8122:    agemingood = vector(1,ncovcombmax); 
1.266     brouard  8123:    agemingoodr = vector(1,ncovcombmax);        
1.222     brouard  8124:    agemaxgood = vector(1,ncovcombmax);
1.266     brouard  8125:    agemaxgoodr = vector(1,ncovcombmax);
1.222     brouard  8126: 
                   8127:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
1.266     brouard  8128:      sumnewm[cptcod]=0.; sumnewmr[cptcod]=0.;
1.222     brouard  8129:      sumnewp[cptcod]=0.;
1.266     brouard  8130:      agemingood[cptcod]=0, agemingoodr[cptcod]=0;
                   8131:      agemaxgood[cptcod]=0, agemaxgoodr[cptcod]=0;
1.222     brouard  8132:    }
                   8133:    if (cptcovn<1) ncovcombmax=1; /* At least 1 pass */
                   8134:   
1.266     brouard  8135:    if(mobilav==-1 || mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   8136:      if(mobilav==1 || mobilav==-1) mobilavrange=5; /* default */
1.222     brouard  8137:      else mobilavrange=mobilav;
                   8138:      for (age=bage; age<=fage; age++)
                   8139:        for (i=1; i<=nlstate;i++)
                   8140:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++)
                   8141:           mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8142:      /* We keep the original values on the extreme ages bage, fage and for 
                   8143:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   8144:        we use a 5 terms etc. until the borders are no more concerned. 
                   8145:      */ 
                   8146:      for (mob=3;mob <=mobilavrange;mob=mob+2){
                   8147:        for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
1.266     brouard  8148:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   8149:           sumnewm[cptcod]=0.;
                   8150:           for (i=1; i<=nlstate;i++){
1.222     brouard  8151:             mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                   8152:             for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   8153:               mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   8154:               mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                   8155:             }
                   8156:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
1.266     brouard  8157:             sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8158:           } /* end i */
                   8159:           if(sumnewm[cptcod] >1.e-3) mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/sumnewm[cptcod]; /* Rescaling to sum one */
                   8160:         } /* end cptcod */
1.222     brouard  8161:        }/* end age */
                   8162:      }/* end mob */
1.266     brouard  8163:    }else{
                   8164:      printf("Error internal in movingaverage, mobilav=%d.\n",mobilav);
1.222     brouard  8165:      return -1;
1.266     brouard  8166:    }
                   8167: 
                   8168:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){ /* for each combination */
1.222     brouard  8169:      /* for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ */
                   8170:      if(invalidvarcomb[cptcod]){
                   8171:        printf("\nCombination (%d) ignored because no cases \n",cptcod); 
                   8172:        continue;
                   8173:      }
1.219     brouard  8174: 
1.266     brouard  8175:      for (age=fage-(mob-1)/2; age>=bage+(mob-1)/2; age--){ /*looking for the youngest and oldest good age */
                   8176:        sumnewm[cptcod]=0.;
                   8177:        sumnewmr[cptcod]=0.;
                   8178:        for (i=1; i<=nlstate;i++){
                   8179:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8180:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8181:        }
                   8182:        if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8183:         agemingoodr[cptcod]=age;
                   8184:        }
                   8185:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8186:           agemingood[cptcod]=age;
                   8187:        }
                   8188:      } /* age */
                   8189:      for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ /*looking for the youngest and oldest good age */
1.222     brouard  8190:        sumnewm[cptcod]=0.;
1.266     brouard  8191:        sumnewmr[cptcod]=0.;
1.222     brouard  8192:        for (i=1; i<=nlstate;i++){
                   8193:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
1.266     brouard  8194:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8195:        }
                   8196:        if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8197:         agemaxgoodr[cptcod]=age;
1.222     brouard  8198:        }
                   8199:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
1.266     brouard  8200:         agemaxgood[cptcod]=age;
                   8201:        }
                   8202:      } /* age */
                   8203:      /* Thus we have agemingood and agemaxgood as well as goodr for raw (preobs) */
                   8204:      /* but they will change */
1.288     brouard  8205:      firstA1=0;firstA2=0;
1.266     brouard  8206:      for (age=fage-(mob-1)/2; age>=bage; age--){/* From oldest to youngest, filling up to the youngest */
                   8207:        sumnewm[cptcod]=0.;
                   8208:        sumnewmr[cptcod]=0.;
                   8209:        for (i=1; i<=nlstate;i++){
                   8210:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8211:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8212:        }
                   8213:        if(mobilav==-1){ /* Forcing raw ages if good else agemingood */
                   8214:         if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8215:           agemaxgoodr[cptcod]=age;  /* age min */
                   8216:           for (i=1; i<=nlstate;i++)
                   8217:             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8218:         }else{ /* bad we change the value with the values of good ages */
                   8219:           for (i=1; i<=nlstate;i++){
                   8220:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgoodr[cptcod]][i][cptcod];
                   8221:           } /* i */
                   8222:         } /* end bad */
                   8223:        }else{
                   8224:         if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8225:           agemaxgood[cptcod]=age;
                   8226:         }else{ /* bad we change the value with the values of good ages */
                   8227:           for (i=1; i<=nlstate;i++){
                   8228:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   8229:           } /* i */
                   8230:         } /* end bad */
                   8231:        }/* end else */
                   8232:        sum=0.;sumr=0.;
                   8233:        for (i=1; i<=nlstate;i++){
                   8234:         sum+=mobaverage[(int)age][i][cptcod];
                   8235:         sumr+=probs[(int)age][i][cptcod];
                   8236:        }
                   8237:        if(fabs(sum - 1.) > 1.e-3) { /* bad */
1.288     brouard  8238:         if(!firstA1){
                   8239:           firstA1=1;
                   8240:           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);
                   8241:         }
                   8242:         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  8243:        } /* end bad */
                   8244:        /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   8245:        if(fabs(sumr - 1.) > 1.e-3) { /* bad */
1.288     brouard  8246:         if(!firstA2){
                   8247:           firstA2=1;
                   8248:           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);
                   8249:         }
                   8250:         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  8251:        } /* end bad */
                   8252:      }/* age */
1.266     brouard  8253: 
                   8254:      for (age=bage+(mob-1)/2; age<=fage; age++){/* From youngest, finding the oldest wrong */
1.222     brouard  8255:        sumnewm[cptcod]=0.;
1.266     brouard  8256:        sumnewmr[cptcod]=0.;
1.222     brouard  8257:        for (i=1; i<=nlstate;i++){
                   8258:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
1.266     brouard  8259:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8260:        } 
                   8261:        if(mobilav==-1){ /* Forcing raw ages if good else agemingood */
                   8262:         if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good */
                   8263:           agemingoodr[cptcod]=age;
                   8264:           for (i=1; i<=nlstate;i++)
                   8265:             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8266:         }else{ /* bad we change the value with the values of good ages */
                   8267:           for (i=1; i<=nlstate;i++){
                   8268:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingoodr[cptcod]][i][cptcod];
                   8269:           } /* i */
                   8270:         } /* end bad */
                   8271:        }else{
                   8272:         if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8273:           agemingood[cptcod]=age;
                   8274:         }else{ /* bad */
                   8275:           for (i=1; i<=nlstate;i++){
                   8276:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   8277:           } /* i */
                   8278:         } /* end bad */
                   8279:        }/* end else */
                   8280:        sum=0.;sumr=0.;
                   8281:        for (i=1; i<=nlstate;i++){
                   8282:         sum+=mobaverage[(int)age][i][cptcod];
                   8283:         sumr+=mobaverage[(int)age][i][cptcod];
1.222     brouard  8284:        }
1.266     brouard  8285:        if(fabs(sum - 1.) > 1.e-3) { /* bad */
1.268     brouard  8286:         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  8287:        } /* end bad */
                   8288:        /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   8289:        if(fabs(sumr - 1.) > 1.e-3) { /* bad */
1.268     brouard  8290:         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  8291:        } /* end bad */
                   8292:      }/* age */
1.266     brouard  8293: 
1.222     brouard  8294:                
                   8295:      for (age=bage; age<=fage; age++){
1.235     brouard  8296:        /* printf("%d %d ", cptcod, (int)age); */
1.222     brouard  8297:        sumnewp[cptcod]=0.;
                   8298:        sumnewm[cptcod]=0.;
                   8299:        for (i=1; i<=nlstate;i++){
                   8300:         sumnewp[cptcod]+=probs[(int)age][i][cptcod];
                   8301:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8302:         /* printf("%.4f %.4f ",probs[(int)age][i][cptcod], mobaverage[(int)age][i][cptcod]); */
                   8303:        }
                   8304:        /* printf("%.4f %.4f \n",sumnewp[cptcod], sumnewm[cptcod]); */
                   8305:      }
                   8306:      /* printf("\n"); */
                   8307:      /* } */
1.266     brouard  8308: 
1.222     brouard  8309:      /* brutal averaging */
1.266     brouard  8310:      /* for (i=1; i<=nlstate;i++){ */
                   8311:      /*   for (age=1; age<=bage; age++){ */
                   8312:      /*         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
                   8313:      /*         /\* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); *\/ */
                   8314:      /*   }     */
                   8315:      /*   for (age=fage; age<=AGESUP; age++){ */
                   8316:      /*         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod]; */
                   8317:      /*         /\* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); *\/ */
                   8318:      /*   } */
                   8319:      /* } /\* end i status *\/ */
                   8320:      /* for (i=nlstate+1; i<=nlstate+ndeath;i++){ */
                   8321:      /*   for (age=1; age<=AGESUP; age++){ */
                   8322:      /*         /\*printf("i=%d, age=%d, cptcod=%d\n",i, (int)age, cptcod);*\/ */
                   8323:      /*         mobaverage[(int)age][i][cptcod]=0.; */
                   8324:      /*   } */
                   8325:      /* } */
1.222     brouard  8326:    }/* end cptcod */
1.266     brouard  8327:    free_vector(agemaxgoodr,1, ncovcombmax);
                   8328:    free_vector(agemaxgood,1, ncovcombmax);
                   8329:    free_vector(agemingood,1, ncovcombmax);
                   8330:    free_vector(agemingoodr,1, ncovcombmax);
                   8331:    free_vector(sumnewmr,1, ncovcombmax);
1.222     brouard  8332:    free_vector(sumnewm,1, ncovcombmax);
                   8333:    free_vector(sumnewp,1, ncovcombmax);
                   8334:    return 0;
                   8335:  }/* End movingaverage */
1.218     brouard  8336:  
1.126     brouard  8337: 
1.296     brouard  8338:  
1.126     brouard  8339: /************** Forecasting ******************/
1.296     brouard  8340: /* 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)*/
                   8341: 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){
                   8342:   /* dateintemean, mean date of interviews
                   8343:      dateprojd, year, month, day of starting projection 
                   8344:      dateprojf date of end of projection;year of end of projection (same day and month as proj1).
1.126     brouard  8345:      agemin, agemax range of age
                   8346:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   8347:   */
1.296     brouard  8348:   /* double anprojd, mprojd, jprojd; */
                   8349:   /* double anprojf, mprojf, jprojf; */
1.267     brouard  8350:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
1.126     brouard  8351:   double agec; /* generic age */
1.296     brouard  8352:   double agelim, ppij, yp,yp1,yp2;
1.126     brouard  8353:   double *popeffectif,*popcount;
                   8354:   double ***p3mat;
1.218     brouard  8355:   /* double ***mobaverage; */
1.126     brouard  8356:   char fileresf[FILENAMELENGTH];
                   8357: 
                   8358:   agelim=AGESUP;
1.211     brouard  8359:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   8360:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   8361:      We still use firstpass and lastpass as another selection.
                   8362:   */
1.214     brouard  8363:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   8364:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
1.126     brouard  8365:  
1.201     brouard  8366:   strcpy(fileresf,"F_"); 
                   8367:   strcat(fileresf,fileresu);
1.126     brouard  8368:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   8369:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   8370:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   8371:   }
1.235     brouard  8372:   printf("\nComputing forecasting: result on file '%s', please wait... \n", fileresf);
                   8373:   fprintf(ficlog,"\nComputing forecasting: result on file '%s', please wait... \n", fileresf);
1.126     brouard  8374: 
1.225     brouard  8375:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
1.126     brouard  8376: 
                   8377: 
                   8378:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8379:   if (stepm<=12) stepsize=1;
                   8380:   if(estepm < stepm){
                   8381:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   8382:   }
1.270     brouard  8383:   else{
                   8384:     hstepm=estepm;   
                   8385:   }
                   8386:   if(estepm > stepm){ /* Yes every two year */
                   8387:     stepsize=2;
                   8388:   }
1.296     brouard  8389:   hstepm=hstepm/stepm;
1.126     brouard  8390: 
1.296     brouard  8391:   
                   8392:   /* yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
                   8393:   /*                              fractional in yp1 *\/ */
                   8394:   /* aintmean=yp; */
                   8395:   /* yp2=modf((yp1*12),&yp); */
                   8396:   /* mintmean=yp; */
                   8397:   /* yp1=modf((yp2*30.5),&yp); */
                   8398:   /* jintmean=yp; */
                   8399:   /* if(jintmean==0) jintmean=1; */
                   8400:   /* if(mintmean==0) mintmean=1; */
1.126     brouard  8401: 
1.296     brouard  8402: 
                   8403:   /* date2dmy(dateintmean,&jintmean,&mintmean,&aintmean); */
                   8404:   /* date2dmy(dateprojd,&jprojd, &mprojd, &anprojd); */
                   8405:   /* date2dmy(dateprojf,&jprojf, &mprojf, &anprojf); */
1.227     brouard  8406:   i1=pow(2,cptcoveff);
1.126     brouard  8407:   if (cptcovn < 1){i1=1;}
                   8408:   
1.296     brouard  8409:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2); 
1.126     brouard  8410:   
                   8411:   fprintf(ficresf,"#****** Routine prevforecast **\n");
1.227     brouard  8412:   
1.126     brouard  8413: /*           if (h==(int)(YEARM*yearp)){ */
1.235     brouard  8414:   for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8415:   for(k=1; k<=i1;k++){
1.253     brouard  8416:     if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  8417:       continue;
1.227     brouard  8418:     if(invalidvarcomb[k]){
                   8419:       printf("\nCombination (%d) projection ignored because no cases \n",k); 
                   8420:       continue;
                   8421:     }
                   8422:     fprintf(ficresf,"\n#****** hpijx=probability over h years, hp.jx is weighted by observed prev \n#");
                   8423:     for(j=1;j<=cptcoveff;j++) {
                   8424:       fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8425:     }
1.235     brouard  8426:     for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.238     brouard  8427:       fprintf(ficresf," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.235     brouard  8428:     }
1.227     brouard  8429:     fprintf(ficresf," yearproj age");
                   8430:     for(j=1; j<=nlstate+ndeath;j++){ 
                   8431:       for(i=1; i<=nlstate;i++)               
                   8432:        fprintf(ficresf," p%d%d",i,j);
                   8433:       fprintf(ficresf," wp.%d",j);
                   8434:     }
1.296     brouard  8435:     for (yearp=0; yearp<=(anprojf-anprojd);yearp +=stepsize) {
1.227     brouard  8436:       fprintf(ficresf,"\n");
1.296     brouard  8437:       fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jprojd,mprojd,anprojd+yearp);   
1.270     brouard  8438:       /* for (agec=fage; agec>=(ageminpar-1); agec--){  */
                   8439:       for (agec=fage; agec>=(bage); agec--){ 
1.227     brouard  8440:        nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   8441:        nhstepm = nhstepm/hstepm; 
                   8442:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8443:        oldm=oldms;savm=savms;
1.268     brouard  8444:        /* We compute pii at age agec over nhstepm);*/
1.235     brouard  8445:        hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k,nres);
1.268     brouard  8446:        /* Then we print p3mat for h corresponding to the right agec+h*stepms=yearp */
1.227     brouard  8447:        for (h=0; h<=nhstepm; h++){
                   8448:          if (h*hstepm/YEARM*stepm ==yearp) {
1.268     brouard  8449:            break;
                   8450:          }
                   8451:        }
                   8452:        fprintf(ficresf,"\n");
                   8453:        for(j=1;j<=cptcoveff;j++) 
                   8454:          fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.296     brouard  8455:        fprintf(ficresf,"%.f %.f ",anprojd+yearp,agec+h*hstepm/YEARM*stepm);
1.268     brouard  8456:        
                   8457:        for(j=1; j<=nlstate+ndeath;j++) {
                   8458:          ppij=0.;
                   8459:          for(i=1; i<=nlstate;i++) {
1.278     brouard  8460:            if (mobilav>=1)
                   8461:             ppij=ppij+p3mat[i][j][h]*prev[(int)agec][i][k];
                   8462:            else { /* even if mobilav==-1 we use mobaverage, probs may not sums to 1 */
                   8463:                ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k];
                   8464:            }
1.268     brouard  8465:            fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   8466:          } /* end i */
                   8467:          fprintf(ficresf," %.3f", ppij);
                   8468:        }/* end j */
1.227     brouard  8469:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8470:       } /* end agec */
1.266     brouard  8471:       /* diffyear=(int) anproj1+yearp-ageminpar-1; */
                   8472:       /*printf("Prevforecast %d+%d-%d=diffyear=%d\n",(int) anproj1, (int)yearp,(int)ageminpar,(int) anproj1-(int)ageminpar);*/
1.227     brouard  8473:     } /* end yearp */
                   8474:   } /* end  k */
1.219     brouard  8475:        
1.126     brouard  8476:   fclose(ficresf);
1.215     brouard  8477:   printf("End of Computing forecasting \n");
                   8478:   fprintf(ficlog,"End of Computing forecasting\n");
                   8479: 
1.126     brouard  8480: }
                   8481: 
1.269     brouard  8482: /************** Back Forecasting ******************/
1.296     brouard  8483:  /* 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){ */
                   8484:  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){
                   8485:   /* back1, year, month, day of starting backprojection
1.267     brouard  8486:      agemin, agemax range of age
                   8487:      dateprev1 dateprev2 range of dates during which prevalence is computed
1.269     brouard  8488:      anback2 year of end of backprojection (same day and month as back1).
                   8489:      prevacurrent and prev are prevalences.
1.267     brouard  8490:   */
                   8491:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
                   8492:   double agec; /* generic age */
1.296     brouard  8493:   double agelim, ppij, ppi, yp,yp1,yp2,jintmean,mintmean,aintmean;
1.267     brouard  8494:   double *popeffectif,*popcount;
                   8495:   double ***p3mat;
                   8496:   /* double ***mobaverage; */
                   8497:   char fileresfb[FILENAMELENGTH];
                   8498:  
1.268     brouard  8499:   agelim=AGEINF;
1.267     brouard  8500:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   8501:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   8502:      We still use firstpass and lastpass as another selection.
                   8503:   */
                   8504:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   8505:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
                   8506: 
                   8507:   /*Do we need to compute prevalence again?*/
                   8508: 
                   8509:   /* prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
                   8510:   
                   8511:   strcpy(fileresfb,"FB_");
                   8512:   strcat(fileresfb,fileresu);
                   8513:   if((ficresfb=fopen(fileresfb,"w"))==NULL) {
                   8514:     printf("Problem with back forecast resultfile: %s\n", fileresfb);
                   8515:     fprintf(ficlog,"Problem with back forecast resultfile: %s\n", fileresfb);
                   8516:   }
                   8517:   printf("\nComputing back forecasting: result on file '%s', please wait... \n", fileresfb);
                   8518:   fprintf(ficlog,"\nComputing back forecasting: result on file '%s', please wait... \n", fileresfb);
                   8519:   
                   8520:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   8521:   
                   8522:    
                   8523:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8524:   if (stepm<=12) stepsize=1;
                   8525:   if(estepm < stepm){
                   8526:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   8527:   }
1.270     brouard  8528:   else{
                   8529:     hstepm=estepm;   
                   8530:   }
                   8531:   if(estepm >= stepm){ /* Yes every two year */
                   8532:     stepsize=2;
                   8533:   }
1.267     brouard  8534:   
                   8535:   hstepm=hstepm/stepm;
1.296     brouard  8536:   /* yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
                   8537:   /*                              fractional in yp1 *\/ */
                   8538:   /* aintmean=yp; */
                   8539:   /* yp2=modf((yp1*12),&yp); */
                   8540:   /* mintmean=yp; */
                   8541:   /* yp1=modf((yp2*30.5),&yp); */
                   8542:   /* jintmean=yp; */
                   8543:   /* if(jintmean==0) jintmean=1; */
                   8544:   /* if(mintmean==0) jintmean=1; */
1.267     brouard  8545:   
                   8546:   i1=pow(2,cptcoveff);
                   8547:   if (cptcovn < 1){i1=1;}
                   8548:   
1.296     brouard  8549:   fprintf(ficresfb,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2);
                   8550:   printf("# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2);
1.267     brouard  8551:   
                   8552:   fprintf(ficresfb,"#****** Routine prevbackforecast **\n");
                   8553:   
                   8554:   for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8555:   for(k=1; k<=i1;k++){
                   8556:     if(i1 != 1 && TKresult[nres]!= k)
                   8557:       continue;
                   8558:     if(invalidvarcomb[k]){
                   8559:       printf("\nCombination (%d) projection ignored because no cases \n",k); 
                   8560:       continue;
                   8561:     }
1.268     brouard  8562:     fprintf(ficresfb,"\n#****** hbijx=probability over h years, hb.jx is weighted by observed prev \n#");
1.267     brouard  8563:     for(j=1;j<=cptcoveff;j++) {
                   8564:       fprintf(ficresfb," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8565:     }
                   8566:     for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   8567:       fprintf(ficresf," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   8568:     }
                   8569:     fprintf(ficresfb," yearbproj age");
                   8570:     for(j=1; j<=nlstate+ndeath;j++){
                   8571:       for(i=1; i<=nlstate;i++)
1.268     brouard  8572:        fprintf(ficresfb," b%d%d",i,j);
                   8573:       fprintf(ficresfb," b.%d",j);
1.267     brouard  8574:     }
1.296     brouard  8575:     for (yearp=0; yearp>=(anbackf-anbackd);yearp -=stepsize) {
1.267     brouard  8576:       /* for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {  */
                   8577:       fprintf(ficresfb,"\n");
1.296     brouard  8578:       fprintf(ficresfb,"\n# Back Forecasting at date %.lf/%.lf/%.lf ",jbackd,mbackd,anbackd+yearp);
1.273     brouard  8579:       /* printf("\n# Back Forecasting at date %.lf/%.lf/%.lf ",jback1,mback1,anback1+yearp); */
1.270     brouard  8580:       /* for (agec=bage; agec<=agemax-1; agec++){  /\* testing *\/ */
                   8581:       for (agec=bage; agec<=fage; agec++){  /* testing */
1.268     brouard  8582:        /* We compute bij at age agec over nhstepm, nhstepm decreases when agec increases because of agemax;*/
1.271     brouard  8583:        nhstepm=(int) (agec-agelim) *YEARM/stepm;/*     nhstepm=(int) rint((agec-agelim)*YEARM/stepm);*/
1.267     brouard  8584:        nhstepm = nhstepm/hstepm;
                   8585:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8586:        oldm=oldms;savm=savms;
1.268     brouard  8587:        /* computes hbxij at age agec over 1 to nhstepm */
1.271     brouard  8588:        /* printf("####prevbackforecast debug  agec=%.2f nhstepm=%d\n",agec, nhstepm);fflush(stdout); */
1.267     brouard  8589:        hbxij(p3mat,nhstepm,agec,hstepm,p,prevacurrent,nlstate,stepm, k, nres);
1.268     brouard  8590:        /* hpxij(p3mat,nhstepm,agec,hstepm,p,             nlstate,stepm,oldm,savm, k,nres); */
                   8591:        /* Then we print p3mat for h corresponding to the right agec+h*stepms=yearp */
                   8592:        /* printf(" agec=%.2f\n",agec);fflush(stdout); */
1.267     brouard  8593:        for (h=0; h<=nhstepm; h++){
1.268     brouard  8594:          if (h*hstepm/YEARM*stepm ==-yearp) {
                   8595:            break;
                   8596:          }
                   8597:        }
                   8598:        fprintf(ficresfb,"\n");
                   8599:        for(j=1;j<=cptcoveff;j++)
                   8600:          fprintf(ficresfb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.296     brouard  8601:        fprintf(ficresfb,"%.f %.f ",anbackd+yearp,agec-h*hstepm/YEARM*stepm);
1.268     brouard  8602:        for(i=1; i<=nlstate+ndeath;i++) {
                   8603:          ppij=0.;ppi=0.;
                   8604:          for(j=1; j<=nlstate;j++) {
                   8605:            /* if (mobilav==1) */
1.269     brouard  8606:            ppij=ppij+p3mat[i][j][h]*prevacurrent[(int)agec][j][k];
                   8607:            ppi=ppi+prevacurrent[(int)agec][j][k];
                   8608:            /* ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][j][k]; */
                   8609:            /* ppi=ppi+mobaverage[(int)agec][j][k]; */
1.267     brouard  8610:              /* else { */
                   8611:              /*        ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k]; */
                   8612:              /* } */
1.268     brouard  8613:            fprintf(ficresfb," %.3f", p3mat[i][j][h]);
                   8614:          } /* end j */
                   8615:          if(ppi <0.99){
                   8616:            printf("Error in prevbackforecast, prevalence doesn't sum to 1 for state %d: %3f\n",i, ppi);
                   8617:            fprintf(ficlog,"Error in prevbackforecast, prevalence doesn't sum to 1 for state %d: %3f\n",i, ppi);
                   8618:          }
                   8619:          fprintf(ficresfb," %.3f", ppij);
                   8620:        }/* end j */
1.267     brouard  8621:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8622:       } /* end agec */
                   8623:     } /* end yearp */
                   8624:   } /* end k */
1.217     brouard  8625:   
1.267     brouard  8626:   /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
1.217     brouard  8627:   
1.267     brouard  8628:   fclose(ficresfb);
                   8629:   printf("End of Computing Back forecasting \n");
                   8630:   fprintf(ficlog,"End of Computing Back forecasting\n");
1.218     brouard  8631:        
1.267     brouard  8632: }
1.217     brouard  8633: 
1.269     brouard  8634: /* Variance of prevalence limit: varprlim */
                   8635:  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  8636:     /*------- Variance of forward period (stable) prevalence------*/   
1.269     brouard  8637:  
                   8638:    char fileresvpl[FILENAMELENGTH];  
                   8639:    FILE *ficresvpl;
                   8640:    double **oldm, **savm;
                   8641:    double **varpl; /* Variances of prevalence limits by age */   
                   8642:    int i1, k, nres, j ;
                   8643:    
                   8644:     strcpy(fileresvpl,"VPL_");
                   8645:     strcat(fileresvpl,fileresu);
                   8646:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
1.288     brouard  8647:       printf("Problem with variance of forward period (stable) prevalence  resultfile: %s\n", fileresvpl);
1.269     brouard  8648:       exit(0);
                   8649:     }
1.288     brouard  8650:     printf("Computing Variance-covariance of forward period (stable) prevalence: file '%s' ...", fileresvpl);fflush(stdout);
                   8651:     fprintf(ficlog, "Computing Variance-covariance of forward period (stable) prevalence: file '%s' ...", fileresvpl);fflush(ficlog);
1.269     brouard  8652:     
                   8653:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   8654:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   8655:     
                   8656:     i1=pow(2,cptcoveff);
                   8657:     if (cptcovn < 1){i1=1;}
                   8658: 
                   8659:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8660:     for(k=1; k<=i1;k++){
                   8661:       if(i1 != 1 && TKresult[nres]!= k)
                   8662:        continue;
                   8663:       fprintf(ficresvpl,"\n#****** ");
                   8664:       printf("\n#****** ");
                   8665:       fprintf(ficlog,"\n#****** ");
                   8666:       for(j=1;j<=cptcoveff;j++) {
                   8667:        fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8668:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8669:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8670:       }
                   8671:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   8672:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8673:        fprintf(ficresvpl," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8674:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8675:       }        
                   8676:       fprintf(ficresvpl,"******\n");
                   8677:       printf("******\n");
                   8678:       fprintf(ficlog,"******\n");
                   8679:       
                   8680:       varpl=matrix(1,nlstate,(int) bage, (int) fage);
                   8681:       oldm=oldms;savm=savms;
                   8682:       varprevlim(fileresvpl, ficresvpl, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, ncvyearp, k, strstart, nres);
                   8683:       free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
                   8684:       /*}*/
                   8685:     }
                   8686:     
                   8687:     fclose(ficresvpl);
1.288     brouard  8688:     printf("done variance-covariance of forward period prevalence\n");fflush(stdout);
                   8689:     fprintf(ficlog,"done variance-covariance of forward period prevalence\n");fflush(ficlog);
1.269     brouard  8690: 
                   8691:  }
                   8692: /* Variance of back prevalence: varbprlim */
                   8693:  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){
                   8694:       /*------- Variance of back (stable) prevalence------*/
                   8695: 
                   8696:    char fileresvbl[FILENAMELENGTH];  
                   8697:    FILE  *ficresvbl;
                   8698: 
                   8699:    double **oldm, **savm;
                   8700:    double **varbpl; /* Variances of back prevalence limits by age */   
                   8701:    int i1, k, nres, j ;
                   8702: 
                   8703:    strcpy(fileresvbl,"VBL_");
                   8704:    strcat(fileresvbl,fileresu);
                   8705:    if((ficresvbl=fopen(fileresvbl,"w"))==NULL) {
                   8706:      printf("Problem with variance of back (stable) prevalence  resultfile: %s\n", fileresvbl);
                   8707:      exit(0);
                   8708:    }
                   8709:    printf("Computing Variance-covariance of back (stable) prevalence: file '%s' ...", fileresvbl);fflush(stdout);
                   8710:    fprintf(ficlog, "Computing Variance-covariance of back (stable) prevalence: file '%s' ...", fileresvbl);fflush(ficlog);
                   8711:    
                   8712:    
                   8713:    i1=pow(2,cptcoveff);
                   8714:    if (cptcovn < 1){i1=1;}
                   8715:    
                   8716:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8717:      for(k=1; k<=i1;k++){
                   8718:        if(i1 != 1 && TKresult[nres]!= k)
                   8719:         continue;
                   8720:        fprintf(ficresvbl,"\n#****** ");
                   8721:        printf("\n#****** ");
                   8722:        fprintf(ficlog,"\n#****** ");
                   8723:        for(j=1;j<=cptcoveff;j++) {
                   8724:         fprintf(ficresvbl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8725:         fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8726:         printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8727:        }
                   8728:        for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   8729:         printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8730:         fprintf(ficresvbl," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8731:         fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8732:        }
                   8733:        fprintf(ficresvbl,"******\n");
                   8734:        printf("******\n");
                   8735:        fprintf(ficlog,"******\n");
                   8736:        
                   8737:        varbpl=matrix(1,nlstate,(int) bage, (int) fage);
                   8738:        oldm=oldms;savm=savms;
                   8739:        
                   8740:        varbrevlim(fileresvbl, ficresvbl, varbpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, bprlim, ftolpl, mobilavproj, ncvyearp, k, strstart, nres);
                   8741:        free_matrix(varbpl,1,nlstate,(int) bage, (int)fage);
                   8742:        /*}*/
                   8743:      }
                   8744:    
                   8745:    fclose(ficresvbl);
                   8746:    printf("done variance-covariance of back prevalence\n");fflush(stdout);
                   8747:    fprintf(ficlog,"done variance-covariance of back prevalence\n");fflush(ficlog);
                   8748: 
                   8749:  } /* End of varbprlim */
                   8750: 
1.126     brouard  8751: /************** Forecasting *****not tested NB*************/
1.227     brouard  8752: /* 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  8753:   
1.227     brouard  8754: /*   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h; */
                   8755: /*   int *popage; */
                   8756: /*   double calagedatem, agelim, kk1, kk2; */
                   8757: /*   double *popeffectif,*popcount; */
                   8758: /*   double ***p3mat,***tabpop,***tabpopprev; */
                   8759: /*   /\* double ***mobaverage; *\/ */
                   8760: /*   char filerespop[FILENAMELENGTH]; */
1.126     brouard  8761: 
1.227     brouard  8762: /*   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8763: /*   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8764: /*   agelim=AGESUP; */
                   8765: /*   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM; */
1.126     brouard  8766:   
1.227     brouard  8767: /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
1.126     brouard  8768:   
                   8769:   
1.227     brouard  8770: /*   strcpy(filerespop,"POP_");  */
                   8771: /*   strcat(filerespop,fileresu); */
                   8772: /*   if((ficrespop=fopen(filerespop,"w"))==NULL) { */
                   8773: /*     printf("Problem with forecast resultfile: %s\n", filerespop); */
                   8774: /*     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop); */
                   8775: /*   } */
                   8776: /*   printf("Computing forecasting: result on file '%s' \n", filerespop); */
                   8777: /*   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop); */
1.126     brouard  8778: 
1.227     brouard  8779: /*   if (cptcoveff==0) ncodemax[cptcoveff]=1; */
1.126     brouard  8780: 
1.227     brouard  8781: /*   /\* if (mobilav!=0) { *\/ */
                   8782: /*   /\*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   8783: /*   /\*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ *\/ */
                   8784: /*   /\*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   8785: /*   /\*     printf(" Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   8786: /*   /\*   } *\/ */
                   8787: /*   /\* } *\/ */
1.126     brouard  8788: 
1.227     brouard  8789: /*   stepsize=(int) (stepm+YEARM-1)/YEARM; */
                   8790: /*   if (stepm<=12) stepsize=1; */
1.126     brouard  8791:   
1.227     brouard  8792: /*   agelim=AGESUP; */
1.126     brouard  8793:   
1.227     brouard  8794: /*   hstepm=1; */
                   8795: /*   hstepm=hstepm/stepm;  */
1.218     brouard  8796:        
1.227     brouard  8797: /*   if (popforecast==1) { */
                   8798: /*     if((ficpop=fopen(popfile,"r"))==NULL) { */
                   8799: /*       printf("Problem with population file : %s\n",popfile);exit(0); */
                   8800: /*       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0); */
                   8801: /*     }  */
                   8802: /*     popage=ivector(0,AGESUP); */
                   8803: /*     popeffectif=vector(0,AGESUP); */
                   8804: /*     popcount=vector(0,AGESUP); */
1.126     brouard  8805:     
1.227     brouard  8806: /*     i=1;    */
                   8807: /*     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1; */
1.218     brouard  8808:     
1.227     brouard  8809: /*     imx=i; */
                   8810: /*     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i]; */
                   8811: /*   } */
1.218     brouard  8812:   
1.227     brouard  8813: /*   for(cptcov=1,k=0;cptcov<=i2;cptcov++){ */
                   8814: /*     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ */
                   8815: /*       k=k+1; */
                   8816: /*       fprintf(ficrespop,"\n#******"); */
                   8817: /*       for(j=1;j<=cptcoveff;j++) { */
                   8818: /*     fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   8819: /*       } */
                   8820: /*       fprintf(ficrespop,"******\n"); */
                   8821: /*       fprintf(ficrespop,"# Age"); */
                   8822: /*       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j); */
                   8823: /*       if (popforecast==1)  fprintf(ficrespop," [Population]"); */
1.126     brouard  8824:       
1.227     brouard  8825: /*       for (cpt=0; cpt<=0;cpt++) {  */
                   8826: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
1.126     brouard  8827:        
1.227     brouard  8828: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   8829: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   8830: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  8831:          
1.227     brouard  8832: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8833: /*       oldm=oldms;savm=savms; */
                   8834: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
1.218     brouard  8835:          
1.227     brouard  8836: /*       for (h=0; h<=nhstepm; h++){ */
                   8837: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   8838: /*           fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   8839: /*         }  */
                   8840: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   8841: /*           kk1=0.;kk2=0; */
                   8842: /*           for(i=1; i<=nlstate;i++) {               */
                   8843: /*             if (mobilav==1)  */
                   8844: /*               kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod]; */
                   8845: /*             else { */
                   8846: /*               kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod]; */
                   8847: /*             } */
                   8848: /*           } */
                   8849: /*           if (h==(int)(calagedatem+12*cpt)){ */
                   8850: /*             tabpop[(int)(agedeb)][j][cptcod]=kk1; */
                   8851: /*             /\*fprintf(ficrespop," %.3f", kk1); */
                   8852: /*               if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*\/ */
                   8853: /*           } */
                   8854: /*         } */
                   8855: /*         for(i=1; i<=nlstate;i++){ */
                   8856: /*           kk1=0.; */
                   8857: /*           for(j=1; j<=nlstate;j++){ */
                   8858: /*             kk1= kk1+tabpop[(int)(agedeb)][j][cptcod];  */
                   8859: /*           } */
                   8860: /*           tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)]; */
                   8861: /*         } */
1.218     brouard  8862:            
1.227     brouard  8863: /*         if (h==(int)(calagedatem+12*cpt)) */
                   8864: /*           for(j=1; j<=nlstate;j++)  */
                   8865: /*             fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]); */
                   8866: /*       } */
                   8867: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8868: /*     } */
                   8869: /*       } */
1.218     brouard  8870:       
1.227     brouard  8871: /*       /\******\/ */
1.218     brouard  8872:       
1.227     brouard  8873: /*       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) {  */
                   8874: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
                   8875: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   8876: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   8877: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  8878:          
1.227     brouard  8879: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8880: /*       oldm=oldms;savm=savms; */
                   8881: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
                   8882: /*       for (h=0; h<=nhstepm; h++){ */
                   8883: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   8884: /*           fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   8885: /*         }  */
                   8886: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   8887: /*           kk1=0.;kk2=0; */
                   8888: /*           for(i=1; i<=nlstate;i++) {               */
                   8889: /*             kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];     */
                   8890: /*           } */
                   8891: /*           if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);         */
                   8892: /*         } */
                   8893: /*       } */
                   8894: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8895: /*     } */
                   8896: /*       } */
                   8897: /*     }  */
                   8898: /*   } */
1.218     brouard  8899:   
1.227     brouard  8900: /*   /\* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
1.218     brouard  8901:   
1.227     brouard  8902: /*   if (popforecast==1) { */
                   8903: /*     free_ivector(popage,0,AGESUP); */
                   8904: /*     free_vector(popeffectif,0,AGESUP); */
                   8905: /*     free_vector(popcount,0,AGESUP); */
                   8906: /*   } */
                   8907: /*   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8908: /*   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8909: /*   fclose(ficrespop); */
                   8910: /* } /\* End of popforecast *\/ */
1.218     brouard  8911:  
1.126     brouard  8912: int fileappend(FILE *fichier, char *optionfich)
                   8913: {
                   8914:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   8915:     printf("Problem with file: %s\n", optionfich);
                   8916:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   8917:     return (0);
                   8918:   }
                   8919:   fflush(fichier);
                   8920:   return (1);
                   8921: }
                   8922: 
                   8923: 
                   8924: /**************** function prwizard **********************/
                   8925: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   8926: {
                   8927: 
                   8928:   /* Wizard to print covariance matrix template */
                   8929: 
1.164     brouard  8930:   char ca[32], cb[32];
                   8931:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  8932:   int numlinepar;
                   8933: 
                   8934:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   8935:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   8936:   for(i=1; i <=nlstate; i++){
                   8937:     jj=0;
                   8938:     for(j=1; j <=nlstate+ndeath; j++){
                   8939:       if(j==i) continue;
                   8940:       jj++;
                   8941:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   8942:       printf("%1d%1d",i,j);
                   8943:       fprintf(ficparo,"%1d%1d",i,j);
                   8944:       for(k=1; k<=ncovmodel;k++){
                   8945:        /*        printf(" %lf",param[i][j][k]); */
                   8946:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   8947:        printf(" 0.");
                   8948:        fprintf(ficparo," 0.");
                   8949:       }
                   8950:       printf("\n");
                   8951:       fprintf(ficparo,"\n");
                   8952:     }
                   8953:   }
                   8954:   printf("# Scales (for hessian or gradient estimation)\n");
                   8955:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   8956:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   8957:   for(i=1; i <=nlstate; i++){
                   8958:     jj=0;
                   8959:     for(j=1; j <=nlstate+ndeath; j++){
                   8960:       if(j==i) continue;
                   8961:       jj++;
                   8962:       fprintf(ficparo,"%1d%1d",i,j);
                   8963:       printf("%1d%1d",i,j);
                   8964:       fflush(stdout);
                   8965:       for(k=1; k<=ncovmodel;k++){
                   8966:        /*      printf(" %le",delti3[i][j][k]); */
                   8967:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   8968:        printf(" 0.");
                   8969:        fprintf(ficparo," 0.");
                   8970:       }
                   8971:       numlinepar++;
                   8972:       printf("\n");
                   8973:       fprintf(ficparo,"\n");
                   8974:     }
                   8975:   }
                   8976:   printf("# Covariance matrix\n");
                   8977: /* # 121 Var(a12)\n\ */
                   8978: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   8979: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   8980: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   8981: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   8982: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   8983: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   8984: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   8985:   fflush(stdout);
                   8986:   fprintf(ficparo,"# Covariance matrix\n");
                   8987:   /* # 121 Var(a12)\n\ */
                   8988:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   8989:   /* #   ...\n\ */
                   8990:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   8991:   
                   8992:   for(itimes=1;itimes<=2;itimes++){
                   8993:     jj=0;
                   8994:     for(i=1; i <=nlstate; i++){
                   8995:       for(j=1; j <=nlstate+ndeath; j++){
                   8996:        if(j==i) continue;
                   8997:        for(k=1; k<=ncovmodel;k++){
                   8998:          jj++;
                   8999:          ca[0]= k+'a'-1;ca[1]='\0';
                   9000:          if(itimes==1){
                   9001:            printf("#%1d%1d%d",i,j,k);
                   9002:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   9003:          }else{
                   9004:            printf("%1d%1d%d",i,j,k);
                   9005:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   9006:            /*  printf(" %.5le",matcov[i][j]); */
                   9007:          }
                   9008:          ll=0;
                   9009:          for(li=1;li <=nlstate; li++){
                   9010:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   9011:              if(lj==li) continue;
                   9012:              for(lk=1;lk<=ncovmodel;lk++){
                   9013:                ll++;
                   9014:                if(ll<=jj){
                   9015:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   9016:                  if(ll<jj){
                   9017:                    if(itimes==1){
                   9018:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   9019:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   9020:                    }else{
                   9021:                      printf(" 0.");
                   9022:                      fprintf(ficparo," 0.");
                   9023:                    }
                   9024:                  }else{
                   9025:                    if(itimes==1){
                   9026:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   9027:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   9028:                    }else{
                   9029:                      printf(" 0.");
                   9030:                      fprintf(ficparo," 0.");
                   9031:                    }
                   9032:                  }
                   9033:                }
                   9034:              } /* end lk */
                   9035:            } /* end lj */
                   9036:          } /* end li */
                   9037:          printf("\n");
                   9038:          fprintf(ficparo,"\n");
                   9039:          numlinepar++;
                   9040:        } /* end k*/
                   9041:       } /*end j */
                   9042:     } /* end i */
                   9043:   } /* end itimes */
                   9044: 
                   9045: } /* end of prwizard */
                   9046: /******************* Gompertz Likelihood ******************************/
                   9047: double gompertz(double x[])
                   9048: { 
                   9049:   double A,B,L=0.0,sump=0.,num=0.;
                   9050:   int i,n=0; /* n is the size of the sample */
                   9051: 
1.220     brouard  9052:   for (i=1;i<=imx ; i++) {
1.126     brouard  9053:     sump=sump+weight[i];
                   9054:     /*    sump=sump+1;*/
                   9055:     num=num+1;
                   9056:   }
                   9057:  
                   9058:  
                   9059:   /* for (i=0; i<=imx; i++) 
                   9060:      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]);*/
                   9061: 
                   9062:   for (i=1;i<=imx ; i++)
                   9063:     {
                   9064:       if (cens[i] == 1 && wav[i]>1)
                   9065:        A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   9066:       
                   9067:       if (cens[i] == 0 && wav[i]>1)
                   9068:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                   9069:             +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
                   9070:       
                   9071:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   9072:       if (wav[i] > 1 ) { /* ??? */
                   9073:        L=L+A*weight[i];
                   9074:        /*      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]);*/
                   9075:       }
                   9076:     }
                   9077: 
                   9078:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   9079:  
                   9080:   return -2*L*num/sump;
                   9081: }
                   9082: 
1.136     brouard  9083: #ifdef GSL
                   9084: /******************* Gompertz_f Likelihood ******************************/
                   9085: double gompertz_f(const gsl_vector *v, void *params)
                   9086: { 
                   9087:   double A,B,LL=0.0,sump=0.,num=0.;
                   9088:   double *x= (double *) v->data;
                   9089:   int i,n=0; /* n is the size of the sample */
                   9090: 
                   9091:   for (i=0;i<=imx-1 ; i++) {
                   9092:     sump=sump+weight[i];
                   9093:     /*    sump=sump+1;*/
                   9094:     num=num+1;
                   9095:   }
                   9096:  
                   9097:  
                   9098:   /* for (i=0; i<=imx; i++) 
                   9099:      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]);*/
                   9100:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   9101:   for (i=1;i<=imx ; i++)
                   9102:     {
                   9103:       if (cens[i] == 1 && wav[i]>1)
                   9104:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   9105:       
                   9106:       if (cens[i] == 0 && wav[i]>1)
                   9107:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   9108:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   9109:       
                   9110:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   9111:       if (wav[i] > 1 ) { /* ??? */
                   9112:        LL=LL+A*weight[i];
                   9113:        /*      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]);*/
                   9114:       }
                   9115:     }
                   9116: 
                   9117:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   9118:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   9119:  
                   9120:   return -2*LL*num/sump;
                   9121: }
                   9122: #endif
                   9123: 
1.126     brouard  9124: /******************* Printing html file ***********/
1.201     brouard  9125: void printinghtmlmort(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  9126:                  int lastpass, int stepm, int weightopt, char model[],\
                   9127:                  int imx,  double p[],double **matcov,double agemortsup){
                   9128:   int i,k;
                   9129: 
                   9130:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   9131:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   9132:   for (i=1;i<=2;i++) 
                   9133:     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  9134:   fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
1.126     brouard  9135:   fprintf(fichtm,"</ul>");
                   9136: 
                   9137: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   9138: 
                   9139:  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>");
                   9140: 
                   9141:  for (k=agegomp;k<(agemortsup-2);k++) 
                   9142:    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]);
                   9143: 
                   9144:  
                   9145:   fflush(fichtm);
                   9146: }
                   9147: 
                   9148: /******************* Gnuplot file **************/
1.201     brouard  9149: void printinggnuplotmort(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
1.126     brouard  9150: 
                   9151:   char dirfileres[132],optfileres[132];
1.164     brouard  9152: 
1.126     brouard  9153:   int ng;
                   9154: 
                   9155: 
                   9156:   /*#ifdef windows */
                   9157:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   9158:     /*#endif */
                   9159: 
                   9160: 
                   9161:   strcpy(dirfileres,optionfilefiname);
                   9162:   strcpy(optfileres,"vpl");
1.199     brouard  9163:   fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
1.126     brouard  9164:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.199     brouard  9165:   fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
1.145     brouard  9166:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  9167:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   9168: 
                   9169: } 
                   9170: 
1.136     brouard  9171: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   9172: {
1.126     brouard  9173: 
1.136     brouard  9174:   /*-------- data file ----------*/
                   9175:   FILE *fic;
                   9176:   char dummy[]="                         ";
1.240     brouard  9177:   int i=0, j=0, n=0, iv=0, v;
1.223     brouard  9178:   int lstra;
1.136     brouard  9179:   int linei, month, year,iout;
                   9180:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  9181:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  9182:   char *stratrunc;
1.223     brouard  9183: 
1.240     brouard  9184:   DummyV=ivector(1,NCOVMAX); /* 1 to 3 */
                   9185:   FixedV=ivector(1,NCOVMAX); /* 1 to 3 */
1.126     brouard  9186: 
1.240     brouard  9187:   for(v=1; v <=ncovcol;v++){
                   9188:     DummyV[v]=0;
                   9189:     FixedV[v]=0;
                   9190:   }
                   9191:   for(v=ncovcol+1; v <=ncovcol+nqv;v++){
                   9192:     DummyV[v]=1;
                   9193:     FixedV[v]=0;
                   9194:   }
                   9195:   for(v=ncovcol+nqv+1; v <=ncovcol+nqv+ntv;v++){
                   9196:     DummyV[v]=0;
                   9197:     FixedV[v]=1;
                   9198:   }
                   9199:   for(v=ncovcol+nqv+ntv+1; v <=ncovcol+nqv+ntv+nqtv;v++){
                   9200:     DummyV[v]=1;
                   9201:     FixedV[v]=1;
                   9202:   }
                   9203:   for(v=1; v <=ncovcol+nqv+ntv+nqtv;v++){
                   9204:     printf("Covariate type in the data: V%d, DummyV(V%d)=%d, FixedV(V%d)=%d\n",v,v,DummyV[v],v,FixedV[v]);
                   9205:     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]);
                   9206:   }
1.126     brouard  9207: 
1.136     brouard  9208:   if((fic=fopen(datafile,"r"))==NULL)    {
1.218     brouard  9209:     printf("Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(stdout);
                   9210:     fprintf(ficlog,"Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(ficlog);return 1;
1.136     brouard  9211:   }
1.126     brouard  9212: 
1.136     brouard  9213:   i=1;
                   9214:   linei=0;
                   9215:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   9216:     linei=linei+1;
                   9217:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   9218:       if(line[j] == '\t')
                   9219:        line[j] = ' ';
                   9220:     }
                   9221:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   9222:       ;
                   9223:     };
                   9224:     line[j+1]=0;  /* Trims blanks at end of line */
                   9225:     if(line[0]=='#'){
                   9226:       fprintf(ficlog,"Comment line\n%s\n",line);
                   9227:       printf("Comment line\n%s\n",line);
                   9228:       continue;
                   9229:     }
                   9230:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  9231:     strcpy(line, linetmp);
1.223     brouard  9232:     
                   9233:     /* Loops on waves */
                   9234:     for (j=maxwav;j>=1;j--){
                   9235:       for (iv=nqtv;iv>=1;iv--){  /* Loop  on time varying quantitative variables */
1.238     brouard  9236:        cutv(stra, strb, line, ' '); 
                   9237:        if(strb[0]=='.') { /* Missing value */
                   9238:          lval=-1;
                   9239:          cotqvar[j][iv][i]=-1; /* 0.0/0.0 */
                   9240:          cotvar[j][ntv+iv][i]=-1; /* For performance reasons */
                   9241:          if(isalpha(strb[1])) { /* .m or .d Really Missing value */
                   9242:            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);
                   9243:            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);
                   9244:            return 1;
                   9245:          }
                   9246:        }else{
                   9247:          errno=0;
                   9248:          /* what_kind_of_number(strb); */
                   9249:          dval=strtod(strb,&endptr); 
                   9250:          /* if( strb[0]=='\0' || (*endptr != '\0')){ */
                   9251:          /* if(strb != endptr && *endptr == '\0') */
                   9252:          /*    dval=dlval; */
                   9253:          /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   9254:          if( strb[0]=='\0' || (*endptr != '\0')){
                   9255:            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);
                   9256:            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);
                   9257:            return 1;
                   9258:          }
                   9259:          cotqvar[j][iv][i]=dval; 
                   9260:          cotvar[j][ntv+iv][i]=dval; 
                   9261:        }
                   9262:        strcpy(line,stra);
1.223     brouard  9263:       }/* end loop ntqv */
1.225     brouard  9264:       
1.223     brouard  9265:       for (iv=ntv;iv>=1;iv--){  /* Loop  on time varying dummies */
1.238     brouard  9266:        cutv(stra, strb, line, ' '); 
                   9267:        if(strb[0]=='.') { /* Missing value */
                   9268:          lval=-1;
                   9269:        }else{
                   9270:          errno=0;
                   9271:          lval=strtol(strb,&endptr,10); 
                   9272:          /*    if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   9273:          if( strb[0]=='\0' || (*endptr != '\0')){
                   9274:            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);
                   9275:            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);
                   9276:            return 1;
                   9277:          }
                   9278:        }
                   9279:        if(lval <-1 || lval >1){
                   9280:          printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  9281:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9282:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.238     brouard  9283:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9284:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9285:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  9286:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.238     brouard  9287:  output of IMaCh is often meaningless.\n                               \
1.223     brouard  9288:  Exiting.\n",lval,linei, i,line,j);
1.238     brouard  9289:          fprintf(ficlog,"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);fflush(ficlog);
1.238     brouard  9298:          return 1;
                   9299:        }
                   9300:        cotvar[j][iv][i]=(double)(lval);
                   9301:        strcpy(line,stra);
1.223     brouard  9302:       }/* end loop ntv */
1.225     brouard  9303:       
1.223     brouard  9304:       /* Statuses  at wave */
1.137     brouard  9305:       cutv(stra, strb, line, ' '); 
1.223     brouard  9306:       if(strb[0]=='.') { /* Missing value */
1.238     brouard  9307:        lval=-1;
1.136     brouard  9308:       }else{
1.238     brouard  9309:        errno=0;
                   9310:        lval=strtol(strb,&endptr,10); 
                   9311:        /*      if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   9312:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9313:          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);
                   9314:          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);
                   9315:          return 1;
                   9316:        }
1.136     brouard  9317:       }
1.225     brouard  9318:       
1.136     brouard  9319:       s[j][i]=lval;
1.225     brouard  9320:       
1.223     brouard  9321:       /* Date of Interview */
1.136     brouard  9322:       strcpy(line,stra);
                   9323:       cutv(stra, strb,line,' ');
1.169     brouard  9324:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9325:       }
1.169     brouard  9326:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.225     brouard  9327:        month=99;
                   9328:        year=9999;
1.136     brouard  9329:       }else{
1.225     brouard  9330:        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);
                   9331:        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);
                   9332:        return 1;
1.136     brouard  9333:       }
                   9334:       anint[j][i]= (double) year; 
                   9335:       mint[j][i]= (double)month; 
                   9336:       strcpy(line,stra);
1.223     brouard  9337:     } /* End loop on waves */
1.225     brouard  9338:     
1.223     brouard  9339:     /* Date of death */
1.136     brouard  9340:     cutv(stra, strb,line,' '); 
1.169     brouard  9341:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9342:     }
1.169     brouard  9343:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  9344:       month=99;
                   9345:       year=9999;
                   9346:     }else{
1.141     brouard  9347:       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  9348:       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);
                   9349:       return 1;
1.136     brouard  9350:     }
                   9351:     andc[i]=(double) year; 
                   9352:     moisdc[i]=(double) month; 
                   9353:     strcpy(line,stra);
                   9354:     
1.223     brouard  9355:     /* Date of birth */
1.136     brouard  9356:     cutv(stra, strb,line,' '); 
1.169     brouard  9357:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9358:     }
1.169     brouard  9359:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  9360:       month=99;
                   9361:       year=9999;
                   9362:     }else{
1.141     brouard  9363:       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);
                   9364:       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  9365:       return 1;
1.136     brouard  9366:     }
                   9367:     if (year==9999) {
1.141     brouard  9368:       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);
                   9369:       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  9370:       return 1;
                   9371:       
1.136     brouard  9372:     }
                   9373:     annais[i]=(double)(year);
                   9374:     moisnais[i]=(double)(month); 
                   9375:     strcpy(line,stra);
1.225     brouard  9376:     
1.223     brouard  9377:     /* Sample weight */
1.136     brouard  9378:     cutv(stra, strb,line,' '); 
                   9379:     errno=0;
                   9380:     dval=strtod(strb,&endptr); 
                   9381:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  9382:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   9383:       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  9384:       fflush(ficlog);
                   9385:       return 1;
                   9386:     }
                   9387:     weight[i]=dval; 
                   9388:     strcpy(line,stra);
1.225     brouard  9389:     
1.223     brouard  9390:     for (iv=nqv;iv>=1;iv--){  /* Loop  on fixed quantitative variables */
                   9391:       cutv(stra, strb, line, ' '); 
                   9392:       if(strb[0]=='.') { /* Missing value */
1.225     brouard  9393:        lval=-1;
1.223     brouard  9394:       }else{
1.225     brouard  9395:        errno=0;
                   9396:        /* what_kind_of_number(strb); */
                   9397:        dval=strtod(strb,&endptr);
                   9398:        /* if(strb != endptr && *endptr == '\0') */
                   9399:        /*   dval=dlval; */
                   9400:        /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   9401:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9402:          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);
                   9403:          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);
                   9404:          return 1;
                   9405:        }
                   9406:        coqvar[iv][i]=dval; 
1.226     brouard  9407:        covar[ncovcol+iv][i]=dval; /* including qvar in standard covar for performance reasons */ 
1.223     brouard  9408:       }
                   9409:       strcpy(line,stra);
                   9410:     }/* end loop nqv */
1.136     brouard  9411:     
1.223     brouard  9412:     /* Covariate values */
1.136     brouard  9413:     for (j=ncovcol;j>=1;j--){
                   9414:       cutv(stra, strb,line,' '); 
1.223     brouard  9415:       if(strb[0]=='.') { /* Missing covariate value */
1.225     brouard  9416:        lval=-1;
1.136     brouard  9417:       }else{
1.225     brouard  9418:        errno=0;
                   9419:        lval=strtol(strb,&endptr,10); 
                   9420:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9421:          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);
                   9422:          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);
                   9423:          return 1;
                   9424:        }
1.136     brouard  9425:       }
                   9426:       if(lval <-1 || lval >1){
1.225     brouard  9427:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  9428:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9429:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  9430:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9431:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9432:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  9433:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  9434:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  9435:  Exiting.\n",lval,linei, i,line,j);
1.225     brouard  9436:        fprintf(ficlog,"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);fflush(ficlog);
1.225     brouard  9445:        return 1;
1.136     brouard  9446:       }
                   9447:       covar[j][i]=(double)(lval);
                   9448:       strcpy(line,stra);
                   9449:     }  
                   9450:     lstra=strlen(stra);
1.225     brouard  9451:     
1.136     brouard  9452:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   9453:       stratrunc = &(stra[lstra-9]);
                   9454:       num[i]=atol(stratrunc);
                   9455:     }
                   9456:     else
                   9457:       num[i]=atol(stra);
                   9458:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   9459:       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;}*/
                   9460:     
                   9461:     i=i+1;
                   9462:   } /* End loop reading  data */
1.225     brouard  9463:   
1.136     brouard  9464:   *imax=i-1; /* Number of individuals */
                   9465:   fclose(fic);
1.225     brouard  9466:   
1.136     brouard  9467:   return (0);
1.164     brouard  9468:   /* endread: */
1.225     brouard  9469:   printf("Exiting readdata: ");
                   9470:   fclose(fic);
                   9471:   return (1);
1.223     brouard  9472: }
1.126     brouard  9473: 
1.234     brouard  9474: void removefirstspace(char **stri){/*, char stro[]) {*/
1.230     brouard  9475:   char *p1 = *stri, *p2 = *stri;
1.235     brouard  9476:   while (*p2 == ' ')
1.234     brouard  9477:     p2++; 
                   9478:   /* while ((*p1++ = *p2++) !=0) */
                   9479:   /*   ; */
                   9480:   /* do */
                   9481:   /*   while (*p2 == ' ') */
                   9482:   /*     p2++; */
                   9483:   /* while (*p1++ == *p2++); */
                   9484:   *stri=p2; 
1.145     brouard  9485: }
                   9486: 
1.235     brouard  9487: int decoderesult ( char resultline[], int nres)
1.230     brouard  9488: /**< This routine decode one result line and returns the combination # of dummy covariates only **/
                   9489: {
1.235     brouard  9490:   int j=0, k=0, k1=0, k2=0, k3=0, k4=0, match=0, k2q=0, k3q=0, k4q=0;
1.230     brouard  9491:   char resultsav[MAXLINE];
1.234     brouard  9492:   int resultmodel[MAXLINE];
                   9493:   int modelresult[MAXLINE];
1.230     brouard  9494:   char stra[80], strb[80], strc[80], strd[80],stre[80];
                   9495: 
1.234     brouard  9496:   removefirstspace(&resultline);
1.233     brouard  9497:   printf("decoderesult:%s\n",resultline);
1.230     brouard  9498: 
                   9499:   if (strstr(resultline,"v") !=0){
                   9500:     printf("Error. 'v' must be in upper case 'V' result: %s ",resultline);
                   9501:     fprintf(ficlog,"Error. 'v' must be in upper case result: %s ",resultline);fflush(ficlog);
                   9502:     return 1;
                   9503:   }
                   9504:   trimbb(resultsav, resultline);
                   9505:   if (strlen(resultsav) >1){
                   9506:     j=nbocc(resultsav,'='); /**< j=Number of covariate values'=' */
                   9507:   }
1.253     brouard  9508:   if(j == 0){ /* Resultline but no = */
                   9509:     TKresult[nres]=0; /* Combination for the nresult and the model */
                   9510:     return (0);
                   9511:   }
                   9512:     
1.234     brouard  9513:   if( j != cptcovs ){ /* Be careful if a variable is in a product but not single */
                   9514:     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);
                   9515:     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);
                   9516:   }
                   9517:   for(k=1; k<=j;k++){ /* Loop on any covariate of the result line */
                   9518:     if(nbocc(resultsav,'=') >1){
                   9519:        cutl(stra,strb,resultsav,' '); /* keeps in strb after the first ' ' 
                   9520:                                      resultsav= V4=1 V5=25.1 V3=0 strb=V3=0 stra= V4=1 V5=25.1 */
                   9521:        cutl(strc,strd,strb,'=');  /* strb:V4=1 strc=1 strd=V4 */
                   9522:     }else
                   9523:       cutl(strc,strd,resultsav,'=');
1.230     brouard  9524:     Tvalsel[k]=atof(strc); /* 1 */
1.234     brouard  9525:     
1.230     brouard  9526:     cutl(strc,stre,strd,'V'); /* strd='V4' strc=4 stre='V' */;
                   9527:     Tvarsel[k]=atoi(strc);
                   9528:     /* Typevarsel[k]=1;  /\* 1 for age product *\/ */
                   9529:     /* cptcovsel++;     */
                   9530:     if (nbocc(stra,'=') >0)
                   9531:       strcpy(resultsav,stra); /* and analyzes it */
                   9532:   }
1.235     brouard  9533:   /* Checking for missing or useless values in comparison of current model needs */
1.236     brouard  9534:   for(k1=1; k1<= cptcovt ;k1++){ /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9535:     if(Typevar[k1]==0){ /* Single covariate in model */
1.234     brouard  9536:       match=0;
1.236     brouard  9537:       for(k2=1; k2 <=j;k2++){/* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
1.237     brouard  9538:        if(Tvar[k1]==Tvarsel[k2]) {/* Tvar[1]=5 == Tvarsel[2]=5   */
1.236     brouard  9539:          modelresult[k2]=k1;/* modelresult[2]=1 modelresult[1]=2  modelresult[3]=3  modelresult[6]=4 modelresult[9]=5 */
1.234     brouard  9540:          match=1;
                   9541:          break;
                   9542:        }
                   9543:       }
                   9544:       if(match == 0){
                   9545:        printf("Error in result line: %d value missing; result: %s, model=%s\n",k1, resultline, model);
                   9546:       }
                   9547:     }
                   9548:   }
1.235     brouard  9549:   /* Checking for missing or useless values in comparison of current model needs */
                   9550:   for(k2=1; k2 <=j;k2++){ /* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
1.234     brouard  9551:     match=0;
1.235     brouard  9552:     for(k1=1; k1<= cptcovt ;k1++){ /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9553:       if(Typevar[k1]==0){ /* Single */
1.237     brouard  9554:        if(Tvar[k1]==Tvarsel[k2]) { /* Tvar[2]=4 == Tvarsel[1]=4   */
1.235     brouard  9555:          resultmodel[k1]=k2;  /* resultmodel[2]=1 resultmodel[1]=2  resultmodel[3]=3  resultmodel[6]=4 resultmodel[9]=5 */
1.234     brouard  9556:          ++match;
                   9557:        }
                   9558:       }
                   9559:     }
                   9560:     if(match == 0){
                   9561:       printf("Error in result line: %d value missing; result: %s, model=%s\n",k1, resultline, model);
                   9562:     }else if(match > 1){
                   9563:       printf("Error in result line: %d doubled; result: %s, model=%s\n",k2, resultline, model);
                   9564:     }
                   9565:   }
1.235     brouard  9566:       
1.234     brouard  9567:   /* We need to deduce which combination number is chosen and save quantitative values */
1.235     brouard  9568:   /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9569:   /* result line V4=1 V5=25.1 V3=0  V2=8 V1=1 */
                   9570:   /* should give a combination of dummy V4=1, V3=0, V1=1 => V4*2**(0) + V3*2**(1) + V1*2**(2) = 5 + (1offset) = 6*/
                   9571:   /* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
                   9572:   /* should give a combination of dummy V4=1, V3=1, V1=0 => V4*2**(0) + V3*2**(1) + V1*2**(2) = 3 + (1offset) = 4*/
                   9573:   /*    1 0 0 0 */
                   9574:   /*    2 1 0 0 */
                   9575:   /*    3 0 1 0 */ 
                   9576:   /*    4 1 1 0 */ /* V4=1, V3=1, V1=0 */
                   9577:   /*    5 0 0 1 */
                   9578:   /*    6 1 0 1 */ /* V4=1, V3=0, V1=1 */
                   9579:   /*    7 0 1 1 */
                   9580:   /*    8 1 1 1 */
1.237     brouard  9581:   /* V(Tvresult)=Tresult V4=1 V3=0 V1=1 Tresult[nres=1][2]=0 */
                   9582:   /* V(Tvqresult)=Tqresult V5=25.1 V2=8 Tqresult[nres=1][1]=25.1 */
                   9583:   /* V5*age V5 known which value for nres?  */
                   9584:   /* Tqinvresult[2]=8 Tqinvresult[1]=25.1  */
1.235     brouard  9585:   for(k1=1, k=0, k4=0, k4q=0; k1 <=cptcovt;k1++){ /* model line */
                   9586:     if( Dummy[k1]==0 && Typevar[k1]==0 ){ /* Single dummy */
1.237     brouard  9587:       k3= resultmodel[k1]; /* resultmodel[2(V4)] = 1=k3 */
1.235     brouard  9588:       k2=(int)Tvarsel[k3]; /*  Tvarsel[resultmodel[2]]= Tvarsel[1] = 4=k2 */
                   9589:       k+=Tvalsel[k3]*pow(2,k4);  /*  Tvalsel[1]=1  */
1.237     brouard  9590:       Tresult[nres][k4+1]=Tvalsel[k3];/* Tresult[nres][1]=1(V4=1)  Tresult[nres][2]=0(V3=0) */
                   9591:       Tvresult[nres][k4+1]=(int)Tvarsel[k3];/* Tvresult[nres][1]=4 Tvresult[nres][3]=1 */
                   9592:       Tinvresult[nres][(int)Tvarsel[k3]]=Tvalsel[k3]; /* Tinvresult[nres][4]=1 */
1.235     brouard  9593:       printf("Decoderesult Dummy k=%d, V(k2=V%d)= Tvalsel[%d]=%d, 2**(%d)\n",k, k2, k3, (int)Tvalsel[k3], k4);
                   9594:       k4++;;
                   9595:     }  else if( Dummy[k1]==1 && Typevar[k1]==0 ){ /* Single quantitative */
                   9596:       k3q= resultmodel[k1]; /* resultmodel[2] = 1=k3 */
                   9597:       k2q=(int)Tvarsel[k3q]; /*  Tvarsel[resultmodel[2]]= Tvarsel[1] = 4=k2 */
1.237     brouard  9598:       Tqresult[nres][k4q+1]=Tvalsel[k3q]; /* Tqresult[nres][1]=25.1 */
                   9599:       Tvqresult[nres][k4q+1]=(int)Tvarsel[k3q]; /* Tvqresult[nres][1]=5 */
                   9600:       Tqinvresult[nres][(int)Tvarsel[k3q]]=Tvalsel[k3q]; /* Tqinvresult[nres][5]=25.1 */
1.235     brouard  9601:       printf("Decoderesult Quantitative nres=%d, V(k2q=V%d)= Tvalsel[%d]=%d, Tvarsel[%d]=%f\n",nres, k2q, k3q, Tvarsel[k3q], k3q, Tvalsel[k3q]);
                   9602:       k4q++;;
                   9603:     }
                   9604:   }
1.234     brouard  9605:   
1.235     brouard  9606:   TKresult[nres]=++k; /* Combination for the nresult and the model */
1.230     brouard  9607:   return (0);
                   9608: }
1.235     brouard  9609: 
1.230     brouard  9610: int decodemodel( char model[], int lastobs)
                   9611:  /**< This routine decodes the model and returns:
1.224     brouard  9612:        * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   9613:        * - nagesqr = 1 if age*age in the model, otherwise 0.
                   9614:        * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   9615:        * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
                   9616:        * - cptcovage number of covariates with age*products =2
                   9617:        * - cptcovs number of simple covariates
                   9618:        * - 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
                   9619:        *     which is a new column after the 9 (ncovcol) variables. 
                   9620:        * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
                   9621:        * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   9622:        *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   9623:        * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   9624:        */
1.136     brouard  9625: {
1.238     brouard  9626:   int i, j, k, ks, v;
1.227     brouard  9627:   int  j1, k1, k2, k3, k4;
1.136     brouard  9628:   char modelsav[80];
1.145     brouard  9629:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  9630:   char *strpt;
1.136     brouard  9631: 
1.145     brouard  9632:   /*removespace(model);*/
1.136     brouard  9633:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  9634:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  9635:     if (strstr(model,"AGE") !=0){
1.192     brouard  9636:       printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
                   9637:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
1.136     brouard  9638:       return 1;
                   9639:     }
1.141     brouard  9640:     if (strstr(model,"v") !=0){
                   9641:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   9642:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   9643:       return 1;
                   9644:     }
1.187     brouard  9645:     strcpy(modelsav,model); 
                   9646:     if ((strpt=strstr(model,"age*age")) !=0){
                   9647:       printf(" strpt=%s, model=%s\n",strpt, model);
                   9648:       if(strpt != model){
1.234     brouard  9649:        printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  9650:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  9651:  corresponding column of parameters.\n",model);
1.234     brouard  9652:        fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  9653:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  9654:  corresponding column of parameters.\n",model); fflush(ficlog);
1.234     brouard  9655:        return 1;
1.225     brouard  9656:       }
1.187     brouard  9657:       nagesqr=1;
                   9658:       if (strstr(model,"+age*age") !=0)
1.234     brouard  9659:        substrchaine(modelsav, model, "+age*age");
1.187     brouard  9660:       else if (strstr(model,"age*age+") !=0)
1.234     brouard  9661:        substrchaine(modelsav, model, "age*age+");
1.187     brouard  9662:       else 
1.234     brouard  9663:        substrchaine(modelsav, model, "age*age");
1.187     brouard  9664:     }else
                   9665:       nagesqr=0;
                   9666:     if (strlen(modelsav) >1){
                   9667:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   9668:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
1.224     brouard  9669:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =5-3=2  */
1.187     brouard  9670:       cptcovt= j+1; /* Number of total covariates in the model, not including
1.225     brouard  9671:                     * cst, age and age*age 
                   9672:                     * V1+V1*age+ V3 + V3*V4+age*age=> 3+1=4*/
                   9673:       /* including age products which are counted in cptcovage.
                   9674:        * but the covariates which are products must be treated 
                   9675:        * separately: ncovn=4- 2=2 (V1+V3). */
1.187     brouard  9676:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   9677:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
1.225     brouard  9678:       
                   9679:       
1.187     brouard  9680:       /*   Design
                   9681:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   9682:        *  <          ncovcol=8                >
                   9683:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   9684:        *   k=  1    2      3       4     5       6      7        8
                   9685:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   9686:        *  covar[k,i], value of kth covariate if not including age for individual i:
1.224     brouard  9687:        *       covar[1][i]= (V1), covar[4][i]=(V4), covar[8][i]=(V8)
                   9688:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[2]=1 Tvar[4]=3 Tvar[8]=8
1.187     brouard  9689:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   9690:        *  Tage[++cptcovage]=k
                   9691:        *       if products, new covar are created after ncovcol with k1
                   9692:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   9693:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   9694:        *  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
                   9695:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   9696:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   9697:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   9698:        *  <          ncovcol=8                >
                   9699:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   9700:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   9701:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
                   9702:        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   9703:        * p Tprod[1]@2={                         6, 5}
                   9704:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   9705:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   9706:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                   9707:        *How to reorganize?
                   9708:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   9709:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   9710:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   9711:        * Struct []
                   9712:        */
1.225     brouard  9713:       
1.187     brouard  9714:       /* This loop fills the array Tvar from the string 'model'.*/
                   9715:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   9716:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   9717:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   9718:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   9719:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   9720:       /*       k=1 Tvar[1]=2 (from V2) */
                   9721:       /*       k=5 Tvar[5] */
                   9722:       /* for (k=1; k<=cptcovn;k++) { */
1.198     brouard  9723:       /*       cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.187     brouard  9724:       /*       } */
1.198     brouard  9725:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
1.187     brouard  9726:       /*
                   9727:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
1.227     brouard  9728:       for(k=cptcovt; k>=1;k--){ /**< Number of covariates not including constant and age, neither age*age*/
                   9729:         Tvar[k]=0; Tprod[k]=0; Tposprod[k]=0;
                   9730:       }
1.187     brouard  9731:       cptcovage=0;
                   9732:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
1.234     brouard  9733:        cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
1.225     brouard  9734:                                         modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
1.234     brouard  9735:        if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
                   9736:        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                   9737:        /*scanf("%d",i);*/
                   9738:        if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
                   9739:          cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
                   9740:          if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                   9741:            /* covar is not filled and then is empty */
                   9742:            cptcovprod--;
                   9743:            cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                   9744:            Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
                   9745:            Typevar[k]=1;  /* 1 for age product */
                   9746:            cptcovage++; /* Sums the number of covariates which include age as a product */
                   9747:            Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
                   9748:            /*printf("stre=%s ", stre);*/
                   9749:          } else if (strcmp(strd,"age")==0) { /* or age*Vn */
                   9750:            cptcovprod--;
                   9751:            cutl(stre,strb,strc,'V');
                   9752:            Tvar[k]=atoi(stre);
                   9753:            Typevar[k]=1;  /* 1 for age product */
                   9754:            cptcovage++;
                   9755:            Tage[cptcovage]=k;
                   9756:          } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                   9757:            /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                   9758:            cptcovn++;
                   9759:            cptcovprodnoage++;k1++;
                   9760:            cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                   9761:            Tvar[k]=ncovcol+nqv+ntv+nqtv+k1; /* For model-covariate k tells which data-covariate to use but
                   9762:                                                because this model-covariate is a construction we invent a new column
                   9763:                                                which is after existing variables ncovcol+nqv+ntv+nqtv + k1
                   9764:                                                If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                   9765:                                                Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
                   9766:            Typevar[k]=2;  /* 2 for double fixed dummy covariates */
                   9767:            cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                   9768:            Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
                   9769:            Tposprod[k]=k1; /* Tpsprod[3]=1, Tposprod[2]=5 */
                   9770:            Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                   9771:            Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                   9772:            k2=k2+2;  /* k2 is initialize to -1, We want to store the n and m in Vn*Vm at the end of Tvar */
                   9773:            /* Tvar[cptcovt+k2]=Tvard[k1][1]; /\* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) *\/ */
                   9774:            /* Tvar[cptcovt+k2+1]=Tvard[k1][2];  /\* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) *\/ */
1.225     brouard  9775:             /*ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2, Tvar[3]=5, Tvar[4]=6, cptcovt=5 */
1.234     brouard  9776:            /*                     1  2   3      4     5 | Tvar[5+1)=1, Tvar[7]=2   */
                   9777:            for (i=1; i<=lastobs;i++){
                   9778:              /* Computes the new covariate which is a product of
                   9779:                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                   9780:              covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   9781:            }
                   9782:          } /* End age is not in the model */
                   9783:        } /* End if model includes a product */
                   9784:        else { /* no more sum */
                   9785:          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                   9786:          /*  scanf("%d",i);*/
                   9787:          cutl(strd,strc,strb,'V');
                   9788:          ks++; /**< Number of simple covariates dummy or quantitative, fixe or varying */
                   9789:          cptcovn++; /** V4+V3+V5: V4 and V3 timevarying dummy covariates, V5 timevarying quantitative */
                   9790:          Tvar[k]=atoi(strd);
                   9791:          Typevar[k]=0;  /* 0 for simple covariates */
                   9792:        }
                   9793:        strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
1.223     brouard  9794:                                /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
1.225     brouard  9795:                                  scanf("%d",i);*/
1.187     brouard  9796:       } /* end of loop + on total covariates */
                   9797:     } /* end if strlen(modelsave == 0) age*age might exist */
                   9798:   } /* end if strlen(model == 0) */
1.136     brouard  9799:   
                   9800:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   9801:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
1.225     brouard  9802:   
1.136     brouard  9803:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
1.225     brouard  9804:      printf("cptcovprod=%d ", cptcovprod);
                   9805:      fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
                   9806:      scanf("%d ",i);*/
                   9807: 
                   9808: 
1.230     brouard  9809: /* Until here, decodemodel knows only the grammar (simple, product, age*) of the model but not what kind
                   9810:    of variable (dummy vs quantitative, fixed vs time varying) is behind. But we know the # of each. */
1.226     brouard  9811: /* ncovcol= 1, nqv=1 | ntv=2, nqtv= 1  = 5 possible variables data: 2 fixed 3, varying
                   9812:    model=        V5 + V4 +V3 + V4*V3 + V5*age + V2 + V1*V2 + V1*age + V5*age, V1 is not used saving its place
                   9813:    k =           1    2   3     4       5       6      7      8        9
                   9814:    Tvar[k]=      5    4   3 1+1+2+1+1=6 5       2      7      1        5
                   9815:    Typevar[k]=   0    0   0     2       1       0      2      1        1
1.227     brouard  9816:    Fixed[k]      1    1   1     1       3       0    0 or 2   2        3
                   9817:    Dummy[k]      1    0   0     0       3       1      1      2        3
                   9818:          Tmodelind[combination of covar]=k;
1.225     brouard  9819: */  
                   9820: /* Dispatching between quantitative and time varying covariates */
1.226     brouard  9821:   /* If Tvar[k] >ncovcol it is a product */
1.225     brouard  9822:   /* 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  9823:        /* Computing effective variables, ie used by the model, that is from the cptcovt variables */
1.227     brouard  9824:   printf("Model=%s\n\
                   9825: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   9826: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   9827: 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);
                   9828:   fprintf(ficlog,"Model=%s\n\
                   9829: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   9830: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   9831: 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  9832:   for(k=-1;k<=cptcovt; k++){ Fixed[k]=0; Dummy[k]=0;}
1.234     brouard  9833:   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 */
                   9834:     if (Tvar[k] <=ncovcol && Typevar[k]==0 ){ /* Simple fixed dummy (<=ncovcol) covariates */
1.227     brouard  9835:       Fixed[k]= 0;
                   9836:       Dummy[k]= 0;
1.225     brouard  9837:       ncoveff++;
1.232     brouard  9838:       ncovf++;
1.234     brouard  9839:       nsd++;
                   9840:       modell[k].maintype= FTYPE;
                   9841:       TvarsD[nsd]=Tvar[k];
                   9842:       TvarsDind[nsd]=k;
                   9843:       TvarF[ncovf]=Tvar[k];
                   9844:       TvarFind[ncovf]=k;
                   9845:       TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9846:       TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9847:     }else if( Tvar[k] <=ncovcol &&  Typevar[k]==2){ /* Product of fixed dummy (<=ncovcol) covariates */
                   9848:       Fixed[k]= 0;
                   9849:       Dummy[k]= 0;
                   9850:       ncoveff++;
                   9851:       ncovf++;
                   9852:       modell[k].maintype= FTYPE;
                   9853:       TvarF[ncovf]=Tvar[k];
                   9854:       TvarFind[ncovf]=k;
1.230     brouard  9855:       TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
1.231     brouard  9856:       TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
1.240     brouard  9857:     }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  9858:       Fixed[k]= 0;
                   9859:       Dummy[k]= 1;
1.230     brouard  9860:       nqfveff++;
1.234     brouard  9861:       modell[k].maintype= FTYPE;
                   9862:       modell[k].subtype= FQ;
                   9863:       nsq++;
                   9864:       TvarsQ[nsq]=Tvar[k];
                   9865:       TvarsQind[nsq]=k;
1.232     brouard  9866:       ncovf++;
1.234     brouard  9867:       TvarF[ncovf]=Tvar[k];
                   9868:       TvarFind[ncovf]=k;
1.231     brouard  9869:       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  9870:       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  9871:     }else if( Tvar[k] <=ncovcol+nqv+ntv && Typevar[k]==0){/* Only simple time varying dummy variables */
1.227     brouard  9872:       Fixed[k]= 1;
                   9873:       Dummy[k]= 0;
1.225     brouard  9874:       ntveff++; /* Only simple time varying dummy variable */
1.234     brouard  9875:       modell[k].maintype= VTYPE;
                   9876:       modell[k].subtype= VD;
                   9877:       nsd++;
                   9878:       TvarsD[nsd]=Tvar[k];
                   9879:       TvarsDind[nsd]=k;
                   9880:       ncovv++; /* Only simple time varying variables */
                   9881:       TvarV[ncovv]=Tvar[k];
1.242     brouard  9882:       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  9883:       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 */
                   9884:       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  9885:       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);
                   9886:       printf("Quasi TmodelInvind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv);
1.231     brouard  9887:     }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv  && Typevar[k]==0){ /* Only simple time varying quantitative variable V5*/
1.234     brouard  9888:       Fixed[k]= 1;
                   9889:       Dummy[k]= 1;
                   9890:       nqtveff++;
                   9891:       modell[k].maintype= VTYPE;
                   9892:       modell[k].subtype= VQ;
                   9893:       ncovv++; /* Only simple time varying variables */
                   9894:       nsq++;
                   9895:       TvarsQ[nsq]=Tvar[k];
                   9896:       TvarsQind[nsq]=k;
                   9897:       TvarV[ncovv]=Tvar[k];
1.242     brouard  9898:       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  9899:       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 */
                   9900:       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  9901:       TmodelInvQind[nqtveff]=Tvar[k]- ncovcol-nqv-ntv;/* Only simple time varying quantitative variable */
                   9902:       /* Tmodeliqind[k]=nqtveff;/\* Only simple time varying quantitative variable *\/ */
                   9903:       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  9904:       printf("Quasi TmodelInvQind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv-ntv);
1.227     brouard  9905:     }else if (Typevar[k] == 1) {  /* product with age */
1.234     brouard  9906:       ncova++;
                   9907:       TvarA[ncova]=Tvar[k];
                   9908:       TvarAind[ncova]=k;
1.231     brouard  9909:       if (Tvar[k] <=ncovcol ){ /* Product age with fixed dummy covariatee */
1.240     brouard  9910:        Fixed[k]= 2;
                   9911:        Dummy[k]= 2;
                   9912:        modell[k].maintype= ATYPE;
                   9913:        modell[k].subtype= APFD;
                   9914:        /* ncoveff++; */
1.227     brouard  9915:       }else if( Tvar[k] <=ncovcol+nqv) { /* Remind that product Vn*Vm are added in k*/
1.240     brouard  9916:        Fixed[k]= 2;
                   9917:        Dummy[k]= 3;
                   9918:        modell[k].maintype= ATYPE;
                   9919:        modell[k].subtype= APFQ;                /*      Product age * fixed quantitative */
                   9920:        /* nqfveff++;  /\* Only simple fixed quantitative variable *\/ */
1.227     brouard  9921:       }else if( Tvar[k] <=ncovcol+nqv+ntv ){
1.240     brouard  9922:        Fixed[k]= 3;
                   9923:        Dummy[k]= 2;
                   9924:        modell[k].maintype= ATYPE;
                   9925:        modell[k].subtype= APVD;                /*      Product age * varying dummy */
                   9926:        /* ntveff++; /\* Only simple time varying dummy variable *\/ */
1.227     brouard  9927:       }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv){
1.240     brouard  9928:        Fixed[k]= 3;
                   9929:        Dummy[k]= 3;
                   9930:        modell[k].maintype= ATYPE;
                   9931:        modell[k].subtype= APVQ;                /*      Product age * varying quantitative */
                   9932:        /* nqtveff++;/\* Only simple time varying quantitative variable *\/ */
1.227     brouard  9933:       }
                   9934:     }else if (Typevar[k] == 2) {  /* product without age */
                   9935:       k1=Tposprod[k];
                   9936:       if(Tvard[k1][1] <=ncovcol){
1.240     brouard  9937:        if(Tvard[k1][2] <=ncovcol){
                   9938:          Fixed[k]= 1;
                   9939:          Dummy[k]= 0;
                   9940:          modell[k].maintype= FTYPE;
                   9941:          modell[k].subtype= FPDD;              /*      Product fixed dummy * fixed dummy */
                   9942:          ncovf++; /* Fixed variables without age */
                   9943:          TvarF[ncovf]=Tvar[k];
                   9944:          TvarFind[ncovf]=k;
                   9945:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   9946:          Fixed[k]= 0;  /* or 2 ?*/
                   9947:          Dummy[k]= 1;
                   9948:          modell[k].maintype= FTYPE;
                   9949:          modell[k].subtype= FPDQ;              /*      Product fixed dummy * fixed quantitative */
                   9950:          ncovf++; /* Varying variables without age */
                   9951:          TvarF[ncovf]=Tvar[k];
                   9952:          TvarFind[ncovf]=k;
                   9953:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   9954:          Fixed[k]= 1;
                   9955:          Dummy[k]= 0;
                   9956:          modell[k].maintype= VTYPE;
                   9957:          modell[k].subtype= VPDD;              /*      Product fixed dummy * varying dummy */
                   9958:          ncovv++; /* Varying variables without age */
                   9959:          TvarV[ncovv]=Tvar[k];
                   9960:          TvarVind[ncovv]=k;
                   9961:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   9962:          Fixed[k]= 1;
                   9963:          Dummy[k]= 1;
                   9964:          modell[k].maintype= VTYPE;
                   9965:          modell[k].subtype= VPDQ;              /*      Product fixed dummy * varying quantitative */
                   9966:          ncovv++; /* Varying variables without age */
                   9967:          TvarV[ncovv]=Tvar[k];
                   9968:          TvarVind[ncovv]=k;
                   9969:        }
1.227     brouard  9970:       }else if(Tvard[k1][1] <=ncovcol+nqv){
1.240     brouard  9971:        if(Tvard[k1][2] <=ncovcol){
                   9972:          Fixed[k]= 0;  /* or 2 ?*/
                   9973:          Dummy[k]= 1;
                   9974:          modell[k].maintype= FTYPE;
                   9975:          modell[k].subtype= FPDQ;              /*      Product fixed quantitative * fixed dummy */
                   9976:          ncovf++; /* Fixed variables without age */
                   9977:          TvarF[ncovf]=Tvar[k];
                   9978:          TvarFind[ncovf]=k;
                   9979:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   9980:          Fixed[k]= 1;
                   9981:          Dummy[k]= 1;
                   9982:          modell[k].maintype= VTYPE;
                   9983:          modell[k].subtype= VPDQ;              /*      Product fixed quantitative * varying dummy */
                   9984:          ncovv++; /* Varying variables without age */
                   9985:          TvarV[ncovv]=Tvar[k];
                   9986:          TvarVind[ncovv]=k;
                   9987:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   9988:          Fixed[k]= 1;
                   9989:          Dummy[k]= 1;
                   9990:          modell[k].maintype= VTYPE;
                   9991:          modell[k].subtype= VPQQ;              /*      Product fixed quantitative * varying quantitative */
                   9992:          ncovv++; /* Varying variables without age */
                   9993:          TvarV[ncovv]=Tvar[k];
                   9994:          TvarVind[ncovv]=k;
                   9995:          ncovv++; /* Varying variables without age */
                   9996:          TvarV[ncovv]=Tvar[k];
                   9997:          TvarVind[ncovv]=k;
                   9998:        }
1.227     brouard  9999:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv){
1.240     brouard  10000:        if(Tvard[k1][2] <=ncovcol){
                   10001:          Fixed[k]= 1;
                   10002:          Dummy[k]= 1;
                   10003:          modell[k].maintype= VTYPE;
                   10004:          modell[k].subtype= VPDD;              /*      Product time varying dummy * fixed dummy */
                   10005:          ncovv++; /* Varying variables without age */
                   10006:          TvarV[ncovv]=Tvar[k];
                   10007:          TvarVind[ncovv]=k;
                   10008:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   10009:          Fixed[k]= 1;
                   10010:          Dummy[k]= 1;
                   10011:          modell[k].maintype= VTYPE;
                   10012:          modell[k].subtype= VPDQ;              /*      Product time varying dummy * fixed quantitative */
                   10013:          ncovv++; /* Varying variables without age */
                   10014:          TvarV[ncovv]=Tvar[k];
                   10015:          TvarVind[ncovv]=k;
                   10016:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   10017:          Fixed[k]= 1;
                   10018:          Dummy[k]= 0;
                   10019:          modell[k].maintype= VTYPE;
                   10020:          modell[k].subtype= VPDD;              /*      Product time varying dummy * time varying dummy */
                   10021:          ncovv++; /* Varying variables without age */
                   10022:          TvarV[ncovv]=Tvar[k];
                   10023:          TvarVind[ncovv]=k;
                   10024:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   10025:          Fixed[k]= 1;
                   10026:          Dummy[k]= 1;
                   10027:          modell[k].maintype= VTYPE;
                   10028:          modell[k].subtype= VPDQ;              /*      Product time varying dummy * time varying quantitative */
                   10029:          ncovv++; /* Varying variables without age */
                   10030:          TvarV[ncovv]=Tvar[k];
                   10031:          TvarVind[ncovv]=k;
                   10032:        }
1.227     brouard  10033:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv+nqtv){
1.240     brouard  10034:        if(Tvard[k1][2] <=ncovcol){
                   10035:          Fixed[k]= 1;
                   10036:          Dummy[k]= 1;
                   10037:          modell[k].maintype= VTYPE;
                   10038:          modell[k].subtype= VPDQ;              /*      Product time varying quantitative * fixed dummy */
                   10039:          ncovv++; /* Varying variables without age */
                   10040:          TvarV[ncovv]=Tvar[k];
                   10041:          TvarVind[ncovv]=k;
                   10042:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   10043:          Fixed[k]= 1;
                   10044:          Dummy[k]= 1;
                   10045:          modell[k].maintype= VTYPE;
                   10046:          modell[k].subtype= VPQQ;              /*      Product time varying quantitative * fixed quantitative */
                   10047:          ncovv++; /* Varying variables without age */
                   10048:          TvarV[ncovv]=Tvar[k];
                   10049:          TvarVind[ncovv]=k;
                   10050:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   10051:          Fixed[k]= 1;
                   10052:          Dummy[k]= 1;
                   10053:          modell[k].maintype= VTYPE;
                   10054:          modell[k].subtype= VPDQ;              /*      Product time varying quantitative * time varying dummy */
                   10055:          ncovv++; /* Varying variables without age */
                   10056:          TvarV[ncovv]=Tvar[k];
                   10057:          TvarVind[ncovv]=k;
                   10058:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   10059:          Fixed[k]= 1;
                   10060:          Dummy[k]= 1;
                   10061:          modell[k].maintype= VTYPE;
                   10062:          modell[k].subtype= VPQQ;              /*      Product time varying quantitative * time varying quantitative */
                   10063:          ncovv++; /* Varying variables without age */
                   10064:          TvarV[ncovv]=Tvar[k];
                   10065:          TvarVind[ncovv]=k;
                   10066:        }
1.227     brouard  10067:       }else{
1.240     brouard  10068:        printf("Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
                   10069:        fprintf(ficlog,"Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
                   10070:       } /*end k1*/
1.225     brouard  10071:     }else{
1.226     brouard  10072:       printf("Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]);
                   10073:       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  10074:     }
1.227     brouard  10075:     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  10076:     printf("           modell[%d].maintype=%d, modell[%d].subtype=%d\n",k,modell[k].maintype,k,modell[k].subtype);
1.227     brouard  10077:     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]);
                   10078:   }
                   10079:   /* Searching for doublons in the model */
                   10080:   for(k1=1; k1<= cptcovt;k1++){
                   10081:     for(k2=1; k2 <k1;k2++){
1.285     brouard  10082:       /* if((Typevar[k1]==Typevar[k2]) && (Fixed[Tvar[k1]]==Fixed[Tvar[k2]]) && (Dummy[Tvar[k1]]==Dummy[Tvar[k2]] )){ */
                   10083:       if((Typevar[k1]==Typevar[k2]) && (Fixed[k1]==Fixed[k2]) && (Dummy[k1]==Dummy[k2] )){
1.234     brouard  10084:        if((Typevar[k1] == 0 || Typevar[k1] == 1)){ /* Simple or age product */
                   10085:          if(Tvar[k1]==Tvar[k2]){
1.285     brouard  10086:            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]);
                   10087:            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  10088:            return(1);
                   10089:          }
                   10090:        }else if (Typevar[k1] ==2){
                   10091:          k3=Tposprod[k1];
                   10092:          k4=Tposprod[k2];
                   10093:          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])) ){
                   10094:            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]]);
                   10095:            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);
                   10096:            return(1);
                   10097:          }
                   10098:        }
1.227     brouard  10099:       }
                   10100:     }
1.225     brouard  10101:   }
                   10102:   printf("ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
                   10103:   fprintf(ficlog,"ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
1.234     brouard  10104:   printf("ncovf=%d, ncovv=%d, ncova=%d, nsd=%d, nsq=%d\n",ncovf,ncovv,ncova,nsd,nsq);
                   10105:   fprintf(ficlog,"ncovf=%d, ncovv=%d, ncova=%d, nsd=%d, nsq=%d\n",ncovf,ncovv,ncova,nsd, nsq);
1.137     brouard  10106:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  10107:   /*endread:*/
1.225     brouard  10108:   printf("Exiting decodemodel: ");
                   10109:   return (1);
1.136     brouard  10110: }
                   10111: 
1.169     brouard  10112: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.248     brouard  10113: {/* Check ages at death */
1.136     brouard  10114:   int i, m;
1.218     brouard  10115:   int firstone=0;
                   10116:   
1.136     brouard  10117:   for (i=1; i<=imx; i++) {
                   10118:     for(m=2; (m<= maxwav); m++) {
                   10119:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   10120:        anint[m][i]=9999;
1.216     brouard  10121:        if (s[m][i] != -2) /* Keeping initial status of unknown vital status */
                   10122:          s[m][i]=-1;
1.136     brouard  10123:       }
                   10124:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.260     brouard  10125:        *nberr = *nberr + 1;
1.218     brouard  10126:        if(firstone == 0){
                   10127:          firstone=1;
1.260     brouard  10128:        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  10129:        }
1.262     brouard  10130:        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  10131:        s[m][i]=-1;  /* Droping the death status */
1.136     brouard  10132:       }
                   10133:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  10134:        (*nberr)++;
1.259     brouard  10135:        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  10136:        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  10137:        s[m][i]=-2; /* We prefer to skip it (and to skip it in version 0.8a1 too */
1.136     brouard  10138:       }
                   10139:     }
                   10140:   }
                   10141: 
                   10142:   for (i=1; i<=imx; i++)  {
                   10143:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   10144:     for(m=firstpass; (m<= lastpass); m++){
1.214     brouard  10145:       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  10146:        if (s[m][i] >= nlstate+1) {
1.169     brouard  10147:          if(agedc[i]>0){
                   10148:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  10149:              agev[m][i]=agedc[i];
1.214     brouard  10150:              /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  10151:            }else {
1.136     brouard  10152:              if ((int)andc[i]!=9999){
                   10153:                nbwarn++;
                   10154:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   10155:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   10156:                agev[m][i]=-1;
                   10157:              }
                   10158:            }
1.169     brouard  10159:          } /* agedc > 0 */
1.214     brouard  10160:        } /* end if */
1.136     brouard  10161:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   10162:                                 years but with the precision of a month */
                   10163:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   10164:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   10165:            agev[m][i]=1;
                   10166:          else if(agev[m][i] < *agemin){ 
                   10167:            *agemin=agev[m][i];
                   10168:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   10169:          }
                   10170:          else if(agev[m][i] >*agemax){
                   10171:            *agemax=agev[m][i];
1.156     brouard  10172:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  10173:          }
                   10174:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   10175:          /*     agev[m][i] = age[i]+2*m;*/
1.214     brouard  10176:        } /* en if 9*/
1.136     brouard  10177:        else { /* =9 */
1.214     brouard  10178:          /* printf("Debug num[%d]=%ld s[%d][%d]=%d\n",i,num[i], m,i, s[m][i]); */
1.136     brouard  10179:          agev[m][i]=1;
                   10180:          s[m][i]=-1;
                   10181:        }
                   10182:       }
1.214     brouard  10183:       else if(s[m][i]==0) /*= 0 Unknown */
1.136     brouard  10184:        agev[m][i]=1;
1.214     brouard  10185:       else{
                   10186:        printf("Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   10187:        fprintf(ficlog, "Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   10188:        agev[m][i]=0;
                   10189:       }
                   10190:     } /* End for lastpass */
                   10191:   }
1.136     brouard  10192:     
                   10193:   for (i=1; i<=imx; i++)  {
                   10194:     for(m=firstpass; (m<=lastpass); m++){
                   10195:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  10196:        (*nberr)++;
1.136     brouard  10197:        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);     
                   10198:        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);     
                   10199:        return 1;
                   10200:       }
                   10201:     }
                   10202:   }
                   10203: 
                   10204:   /*for (i=1; i<=imx; i++){
                   10205:   for (m=firstpass; (m<lastpass); m++){
                   10206:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   10207: }
                   10208: 
                   10209: }*/
                   10210: 
                   10211: 
1.139     brouard  10212:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   10213:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  10214: 
                   10215:   return (0);
1.164     brouard  10216:  /* endread:*/
1.136     brouard  10217:     printf("Exiting calandcheckages: ");
                   10218:     return (1);
                   10219: }
                   10220: 
1.172     brouard  10221: #if defined(_MSC_VER)
                   10222: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   10223: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   10224: //#include "stdafx.h"
                   10225: //#include <stdio.h>
                   10226: //#include <tchar.h>
                   10227: //#include <windows.h>
                   10228: //#include <iostream>
                   10229: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   10230: 
                   10231: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   10232: 
                   10233: BOOL IsWow64()
                   10234: {
                   10235:        BOOL bIsWow64 = FALSE;
                   10236: 
                   10237:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   10238:        //  (HANDLE, PBOOL);
                   10239: 
                   10240:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   10241: 
                   10242:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   10243:        const char funcName[] = "IsWow64Process";
                   10244:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   10245:                GetProcAddress(module, funcName);
                   10246: 
                   10247:        if (NULL != fnIsWow64Process)
                   10248:        {
                   10249:                if (!fnIsWow64Process(GetCurrentProcess(),
                   10250:                        &bIsWow64))
                   10251:                        //throw std::exception("Unknown error");
                   10252:                        printf("Unknown error\n");
                   10253:        }
                   10254:        return bIsWow64 != FALSE;
                   10255: }
                   10256: #endif
1.177     brouard  10257: 
1.191     brouard  10258: void syscompilerinfo(int logged)
1.292     brouard  10259: {
                   10260: #include <stdint.h>
                   10261: 
                   10262:   /* #include "syscompilerinfo.h"*/
1.185     brouard  10263:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   10264:    /* /GS /W3 /Gy
                   10265:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   10266:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   10267:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  10268:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   10269:    */ 
                   10270:    /* 64 bits */
1.185     brouard  10271:    /*
                   10272:      /GS /W3 /Gy
                   10273:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   10274:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   10275:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   10276:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   10277:    /* Optimization are useless and O3 is slower than O2 */
                   10278:    /*
                   10279:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   10280:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   10281:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   10282:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   10283:    */
1.186     brouard  10284:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  10285:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   10286:       /PDB:"visual studio
                   10287:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   10288:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   10289:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   10290:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   10291:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   10292:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   10293:       uiAccess='false'"
                   10294:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   10295:       /NOLOGO /TLBID:1
                   10296:    */
1.292     brouard  10297: 
                   10298: 
1.177     brouard  10299: #if defined __INTEL_COMPILER
1.178     brouard  10300: #if defined(__GNUC__)
                   10301:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   10302: #endif
1.177     brouard  10303: #elif defined(__GNUC__) 
1.179     brouard  10304: #ifndef  __APPLE__
1.174     brouard  10305: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  10306: #endif
1.177     brouard  10307:    struct utsname sysInfo;
1.178     brouard  10308:    int cross = CROSS;
                   10309:    if (cross){
                   10310:           printf("Cross-");
1.191     brouard  10311:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  10312:    }
1.174     brouard  10313: #endif
                   10314: 
1.191     brouard  10315:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  10316: #if defined(__clang__)
1.191     brouard  10317:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  10318: #endif
                   10319: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191     brouard  10320:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  10321: #endif
                   10322: #if defined(__GNUC__) || defined(__GNUG__)
1.191     brouard  10323:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  10324: #endif
                   10325: #if defined(__HP_cc) || defined(__HP_aCC)
1.191     brouard  10326:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  10327: #endif
                   10328: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191     brouard  10329:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  10330: #endif
                   10331: #if defined(_MSC_VER)
1.191     brouard  10332:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  10333: #endif
                   10334: #if defined(__PGI)
1.191     brouard  10335:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  10336: #endif
                   10337: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191     brouard  10338:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  10339: #endif
1.191     brouard  10340:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  10341:    
1.167     brouard  10342: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   10343: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   10344:     // Windows (x64 and x86)
1.191     brouard  10345:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  10346: #elif __unix__ // all unices, not all compilers
                   10347:     // Unix
1.191     brouard  10348:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  10349: #elif __linux__
                   10350:     // linux
1.191     brouard  10351:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  10352: #elif __APPLE__
1.174     brouard  10353:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191     brouard  10354:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  10355: #endif
                   10356: 
                   10357: /*  __MINGW32__          */
                   10358: /*  __CYGWIN__  */
                   10359: /* __MINGW64__  */
                   10360: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   10361: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   10362: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   10363: /* _WIN64  // Defined for applications for Win64. */
                   10364: /* _M_X64 // Defined for compilations that target x64 processors. */
                   10365: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  10366: 
1.167     brouard  10367: #if UINTPTR_MAX == 0xffffffff
1.191     brouard  10368:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  10369: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191     brouard  10370:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  10371: #else
1.191     brouard  10372:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  10373: #endif
                   10374: 
1.169     brouard  10375: #if defined(__GNUC__)
                   10376: # if defined(__GNUC_PATCHLEVEL__)
                   10377: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   10378:                             + __GNUC_MINOR__ * 100 \
                   10379:                             + __GNUC_PATCHLEVEL__)
                   10380: # else
                   10381: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   10382:                             + __GNUC_MINOR__ * 100)
                   10383: # endif
1.174     brouard  10384:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191     brouard  10385:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  10386: 
                   10387:    if (uname(&sysInfo) != -1) {
                   10388:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191     brouard  10389:         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  10390:    }
                   10391:    else
                   10392:       perror("uname() error");
1.179     brouard  10393:    //#ifndef __INTEL_COMPILER 
                   10394: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  10395:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191     brouard  10396:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  10397: #endif
1.169     brouard  10398: #endif
1.172     brouard  10399: 
1.286     brouard  10400:    //   void main ()
1.172     brouard  10401:    //   {
1.169     brouard  10402: #if defined(_MSC_VER)
1.174     brouard  10403:    if (IsWow64()){
1.191     brouard  10404:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
                   10405:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  10406:    }
                   10407:    else{
1.191     brouard  10408:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
                   10409:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  10410:    }
1.172     brouard  10411:    //     printf("\nPress Enter to continue...");
                   10412:    //     getchar();
                   10413:    //   }
                   10414: 
1.169     brouard  10415: #endif
                   10416:    
1.167     brouard  10417: 
1.219     brouard  10418: }
1.136     brouard  10419: 
1.219     brouard  10420: int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp){
1.288     brouard  10421:   /*--------------- Prevalence limit  (forward period or forward stable prevalence) --------------*/
1.235     brouard  10422:   int i, j, k, i1, k4=0, nres=0 ;
1.202     brouard  10423:   /* double ftolpl = 1.e-10; */
1.180     brouard  10424:   double age, agebase, agelim;
1.203     brouard  10425:   double tot;
1.180     brouard  10426: 
1.202     brouard  10427:   strcpy(filerespl,"PL_");
                   10428:   strcat(filerespl,fileresu);
                   10429:   if((ficrespl=fopen(filerespl,"w"))==NULL) {
1.288     brouard  10430:     printf("Problem with forward period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   10431:     fprintf(ficlog,"Problem with forward period (stable) prevalence resultfile: %s\n", filerespl);return 1;
1.202     brouard  10432:   }
1.288     brouard  10433:   printf("\nComputing forward period (stable) prevalence: result on file '%s' \n", filerespl);
                   10434:   fprintf(ficlog,"\nComputing forward period (stable) prevalence: result on file '%s' \n", filerespl);
1.202     brouard  10435:   pstamp(ficrespl);
1.288     brouard  10436:   fprintf(ficrespl,"# Forward period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.202     brouard  10437:   fprintf(ficrespl,"#Age ");
                   10438:   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   10439:   fprintf(ficrespl,"\n");
1.180     brouard  10440:   
1.219     brouard  10441:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
1.180     brouard  10442: 
1.219     brouard  10443:   agebase=ageminpar;
                   10444:   agelim=agemaxpar;
1.180     brouard  10445: 
1.227     brouard  10446:   /* i1=pow(2,ncoveff); */
1.234     brouard  10447:   i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
1.219     brouard  10448:   if (cptcovn < 1){i1=1;}
1.180     brouard  10449: 
1.238     brouard  10450:   for(k=1; k<=i1;k++){ /* For each combination k of dummy covariates in the model */
                   10451:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  10452:       if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10453:        continue;
1.235     brouard  10454: 
1.238     brouard  10455:       /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10456:       /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
                   10457:       //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
                   10458:       /* k=k+1; */
                   10459:       /* to clean */
                   10460:       //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   10461:       fprintf(ficrespl,"#******");
                   10462:       printf("#******");
                   10463:       fprintf(ficlog,"#******");
                   10464:       for(j=1;j<=cptcoveff ;j++) {/* all covariates */
                   10465:        fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); /* Here problem for varying dummy*/
                   10466:        printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10467:        fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10468:       }
                   10469:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   10470:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10471:        fprintf(ficrespl," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10472:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10473:       }
                   10474:       fprintf(ficrespl,"******\n");
                   10475:       printf("******\n");
                   10476:       fprintf(ficlog,"******\n");
                   10477:       if(invalidvarcomb[k]){
                   10478:        printf("\nCombination (%d) ignored because no case \n",k); 
                   10479:        fprintf(ficrespl,"#Combination (%d) ignored because no case \n",k); 
                   10480:        fprintf(ficlog,"\nCombination (%d) ignored because no case \n",k); 
                   10481:        continue;
                   10482:       }
1.219     brouard  10483: 
1.238     brouard  10484:       fprintf(ficrespl,"#Age ");
                   10485:       for(j=1;j<=cptcoveff;j++) {
                   10486:        fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10487:       }
                   10488:       for(i=1; i<=nlstate;i++) fprintf(ficrespl,"  %d-%d   ",i,i);
                   10489:       fprintf(ficrespl,"Total Years_to_converge\n");
1.227     brouard  10490:     
1.238     brouard  10491:       for (age=agebase; age<=agelim; age++){
                   10492:        /* for (age=agebase; age<=agebase; age++){ */
                   10493:        prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyearp, k, nres);
                   10494:        fprintf(ficrespl,"%.0f ",age );
                   10495:        for(j=1;j<=cptcoveff;j++)
                   10496:          fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10497:        tot=0.;
                   10498:        for(i=1; i<=nlstate;i++){
                   10499:          tot +=  prlim[i][i];
                   10500:          fprintf(ficrespl," %.5f", prlim[i][i]);
                   10501:        }
                   10502:        fprintf(ficrespl," %.3f %d\n", tot, *ncvyearp);
                   10503:       } /* Age */
                   10504:       /* was end of cptcod */
                   10505:     } /* cptcov */
                   10506:   } /* nres */
1.219     brouard  10507:   return 0;
1.180     brouard  10508: }
                   10509: 
1.218     brouard  10510: 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  10511:        /*--------------- Back Prevalence limit  (backward stable prevalence) --------------*/
1.218     brouard  10512:        
                   10513:        /* Computes the back prevalence limit  for any combination      of covariate values 
                   10514:    * at any age between ageminpar and agemaxpar
                   10515:         */
1.235     brouard  10516:   int i, j, k, i1, nres=0 ;
1.217     brouard  10517:   /* double ftolpl = 1.e-10; */
                   10518:   double age, agebase, agelim;
                   10519:   double tot;
1.218     brouard  10520:   /* double ***mobaverage; */
                   10521:   /* double     **dnewm, **doldm, **dsavm;  /\* for use *\/ */
1.217     brouard  10522: 
                   10523:   strcpy(fileresplb,"PLB_");
                   10524:   strcat(fileresplb,fileresu);
                   10525:   if((ficresplb=fopen(fileresplb,"w"))==NULL) {
1.288     brouard  10526:     printf("Problem with backward prevalence resultfile: %s\n", fileresplb);return 1;
                   10527:     fprintf(ficlog,"Problem with backward prevalence resultfile: %s\n", fileresplb);return 1;
1.217     brouard  10528:   }
1.288     brouard  10529:   printf("Computing backward prevalence: result on file '%s' \n", fileresplb);
                   10530:   fprintf(ficlog,"Computing backward prevalence: result on file '%s' \n", fileresplb);
1.217     brouard  10531:   pstamp(ficresplb);
1.288     brouard  10532:   fprintf(ficresplb,"# Backward prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.217     brouard  10533:   fprintf(ficresplb,"#Age ");
                   10534:   for(i=1; i<=nlstate;i++) fprintf(ficresplb,"%d-%d ",i,i);
                   10535:   fprintf(ficresplb,"\n");
                   10536:   
1.218     brouard  10537:   
                   10538:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   10539:   
                   10540:   agebase=ageminpar;
                   10541:   agelim=agemaxpar;
                   10542:   
                   10543:   
1.227     brouard  10544:   i1=pow(2,cptcoveff);
1.218     brouard  10545:   if (cptcovn < 1){i1=1;}
1.227     brouard  10546:   
1.238     brouard  10547:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   10548:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  10549:      if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10550:        continue;
                   10551:       //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   10552:       fprintf(ficresplb,"#******");
                   10553:       printf("#******");
                   10554:       fprintf(ficlog,"#******");
                   10555:       for(j=1;j<=cptcoveff ;j++) {/* all covariates */
                   10556:        fprintf(ficresplb," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10557:        printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10558:        fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10559:       }
                   10560:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   10561:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10562:        fprintf(ficresplb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10563:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10564:       }
                   10565:       fprintf(ficresplb,"******\n");
                   10566:       printf("******\n");
                   10567:       fprintf(ficlog,"******\n");
                   10568:       if(invalidvarcomb[k]){
                   10569:        printf("\nCombination (%d) ignored because no cases \n",k); 
                   10570:        fprintf(ficresplb,"#Combination (%d) ignored because no cases \n",k); 
                   10571:        fprintf(ficlog,"\nCombination (%d) ignored because no cases \n",k); 
                   10572:        continue;
                   10573:       }
1.218     brouard  10574:     
1.238     brouard  10575:       fprintf(ficresplb,"#Age ");
                   10576:       for(j=1;j<=cptcoveff;j++) {
                   10577:        fprintf(ficresplb,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10578:       }
                   10579:       for(i=1; i<=nlstate;i++) fprintf(ficresplb,"  %d-%d   ",i,i);
                   10580:       fprintf(ficresplb,"Total Years_to_converge\n");
1.218     brouard  10581:     
                   10582:     
1.238     brouard  10583:       for (age=agebase; age<=agelim; age++){
                   10584:        /* for (age=agebase; age<=agebase; age++){ */
                   10585:        if(mobilavproj > 0){
                   10586:          /* bprevalim(bprlim, mobaverage, nlstate, p, age, ageminpar, agemaxpar, oldm, savm, doldm, dsavm, ftolpl, ncvyearp, k); */
                   10587:          /* bprevalim(bprlim, mobaverage, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.242     brouard  10588:          bprevalim(bprlim, mobaverage, nlstate, p, age, ftolpl, ncvyearp, k, nres);
1.238     brouard  10589:        }else if (mobilavproj == 0){
                   10590:          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);
                   10591:          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);
                   10592:          exit(1);
                   10593:        }else{
                   10594:          /* bprevalim(bprlim, probs, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.242     brouard  10595:          bprevalim(bprlim, probs, nlstate, p, age, ftolpl, ncvyearp, k,nres);
1.266     brouard  10596:          /* printf("TOTOT\n"); */
                   10597:           /* exit(1); */
1.238     brouard  10598:        }
                   10599:        fprintf(ficresplb,"%.0f ",age );
                   10600:        for(j=1;j<=cptcoveff;j++)
                   10601:          fprintf(ficresplb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10602:        tot=0.;
                   10603:        for(i=1; i<=nlstate;i++){
                   10604:          tot +=  bprlim[i][i];
                   10605:          fprintf(ficresplb," %.5f", bprlim[i][i]);
                   10606:        }
                   10607:        fprintf(ficresplb," %.3f %d\n", tot, *ncvyearp);
                   10608:       } /* Age */
                   10609:       /* was end of cptcod */
1.255     brouard  10610:       /*fprintf(ficresplb,"\n");*/ /* Seems to be necessary for gnuplot only if two result lines and no covariate. */
1.238     brouard  10611:     } /* end of any combination */
                   10612:   } /* end of nres */  
1.218     brouard  10613:   /* hBijx(p, bage, fage); */
                   10614:   /* fclose(ficrespijb); */
                   10615:   
                   10616:   return 0;
1.217     brouard  10617: }
1.218     brouard  10618:  
1.180     brouard  10619: int hPijx(double *p, int bage, int fage){
                   10620:     /*------------- h Pij x at various ages ------------*/
                   10621: 
                   10622:   int stepsize;
                   10623:   int agelim;
                   10624:   int hstepm;
                   10625:   int nhstepm;
1.235     brouard  10626:   int h, i, i1, j, k, k4, nres=0;
1.180     brouard  10627: 
                   10628:   double agedeb;
                   10629:   double ***p3mat;
                   10630: 
1.201     brouard  10631:     strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
1.180     brouard  10632:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   10633:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   10634:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   10635:     }
                   10636:     printf("Computing pij: result on file '%s' \n", filerespij);
                   10637:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   10638:   
                   10639:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   10640:     /*if (stepm<=24) stepsize=2;*/
                   10641: 
                   10642:     agelim=AGESUP;
                   10643:     hstepm=stepsize*YEARM; /* Every year of age */
                   10644:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
1.218     brouard  10645:                
1.180     brouard  10646:     /* hstepm=1;   aff par mois*/
                   10647:     pstamp(ficrespij);
                   10648:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
1.227     brouard  10649:     i1= pow(2,cptcoveff);
1.218     brouard  10650:                /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10651:                /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   10652:                /*      k=k+1;  */
1.235     brouard  10653:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   10654:     for(k=1; k<=i1;k++){
1.253     brouard  10655:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  10656:        continue;
1.183     brouard  10657:       fprintf(ficrespij,"\n#****** ");
1.227     brouard  10658:       for(j=1;j<=cptcoveff;j++) 
1.198     brouard  10659:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  10660:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   10661:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10662:        fprintf(ficrespij," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10663:       }
1.183     brouard  10664:       fprintf(ficrespij,"******\n");
                   10665:       
                   10666:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   10667:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   10668:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   10669:        
                   10670:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  10671:        
1.183     brouard  10672:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   10673:        oldm=oldms;savm=savms;
1.235     brouard  10674:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k, nres);  
1.183     brouard  10675:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   10676:        for(i=1; i<=nlstate;i++)
                   10677:          for(j=1; j<=nlstate+ndeath;j++)
                   10678:            fprintf(ficrespij," %1d-%1d",i,j);
                   10679:        fprintf(ficrespij,"\n");
                   10680:        for (h=0; h<=nhstepm; h++){
                   10681:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   10682:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  10683:          for(i=1; i<=nlstate;i++)
                   10684:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  10685:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  10686:          fprintf(ficrespij,"\n");
                   10687:        }
1.183     brouard  10688:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   10689:        fprintf(ficrespij,"\n");
                   10690:       }
1.180     brouard  10691:       /*}*/
                   10692:     }
1.218     brouard  10693:     return 0;
1.180     brouard  10694: }
1.218     brouard  10695:  
                   10696:  int hBijx(double *p, int bage, int fage, double ***prevacurrent){
1.217     brouard  10697:     /*------------- h Bij x at various ages ------------*/
                   10698: 
                   10699:   int stepsize;
1.218     brouard  10700:   /* int agelim; */
                   10701:        int ageminl;
1.217     brouard  10702:   int hstepm;
                   10703:   int nhstepm;
1.238     brouard  10704:   int h, i, i1, j, k, nres;
1.218     brouard  10705:        
1.217     brouard  10706:   double agedeb;
                   10707:   double ***p3mat;
1.218     brouard  10708:        
                   10709:   strcpy(filerespijb,"PIJB_");  strcat(filerespijb,fileresu);
                   10710:   if((ficrespijb=fopen(filerespijb,"w"))==NULL) {
                   10711:     printf("Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   10712:     fprintf(ficlog,"Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   10713:   }
                   10714:   printf("Computing pij back: result on file '%s' \n", filerespijb);
                   10715:   fprintf(ficlog,"Computing pij back: result on file '%s' \n", filerespijb);
                   10716:   
                   10717:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   10718:   /*if (stepm<=24) stepsize=2;*/
1.217     brouard  10719:   
1.218     brouard  10720:   /* agelim=AGESUP; */
1.289     brouard  10721:   ageminl=AGEINF; /* was 30 */
1.218     brouard  10722:   hstepm=stepsize*YEARM; /* Every year of age */
                   10723:   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
                   10724:   
                   10725:   /* hstepm=1;   aff par mois*/
                   10726:   pstamp(ficrespijb);
1.255     brouard  10727:   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  10728:   i1= pow(2,cptcoveff);
1.218     brouard  10729:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10730:   /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   10731:   /*   k=k+1;  */
1.238     brouard  10732:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   10733:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  10734:       if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10735:        continue;
                   10736:       fprintf(ficrespijb,"\n#****** ");
                   10737:       for(j=1;j<=cptcoveff;j++)
                   10738:        fprintf(ficrespijb,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10739:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   10740:        fprintf(ficrespijb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10741:       }
                   10742:       fprintf(ficrespijb,"******\n");
1.264     brouard  10743:       if(invalidvarcomb[k]){  /* Is it necessary here? */
1.238     brouard  10744:        fprintf(ficrespijb,"\n#Combination (%d) ignored because no cases \n",k); 
                   10745:        continue;
                   10746:       }
                   10747:       
                   10748:       /* for (agedeb=fage; agedeb>=bage; agedeb--){ /\* If stepm=6 months *\/ */
                   10749:       for (agedeb=bage; agedeb<=fage; agedeb++){ /* If stepm=6 months and estepm=24 (2 years) */
                   10750:        /* nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /\* Typically 20 years = 20*12/6=40 *\/ */
1.297   ! brouard  10751:        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 */
        !          10752:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10, because estepm=24 stepm=6 => hstepm=24/6=4 or 28*/
1.238     brouard  10753:        
                   10754:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
                   10755:        
1.266     brouard  10756:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); /* We can't have it at an upper level because of nhstepm */
                   10757:        /* and memory limitations if stepm is small */
                   10758: 
1.238     brouard  10759:        /* oldm=oldms;savm=savms; */
                   10760:        /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
1.267     brouard  10761:        hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm, k, nres);
1.238     brouard  10762:        /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm, dnewm, doldm, dsavm, k); */
1.255     brouard  10763:        fprintf(ficrespijb,"# Cov Agex agex-h hbijx with i,j=");
1.217     brouard  10764:        for(i=1; i<=nlstate;i++)
                   10765:          for(j=1; j<=nlstate+ndeath;j++)
1.238     brouard  10766:            fprintf(ficrespijb," %1d-%1d",i,j);
1.217     brouard  10767:        fprintf(ficrespijb,"\n");
1.238     brouard  10768:        for (h=0; h<=nhstepm; h++){
                   10769:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   10770:          fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb - h*hstepm/YEARM*stepm );
                   10771:          /* fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm ); */
                   10772:          for(i=1; i<=nlstate;i++)
                   10773:            for(j=1; j<=nlstate+ndeath;j++)
                   10774:              fprintf(ficrespijb," %.5f", p3mat[i][j][h]);
                   10775:          fprintf(ficrespijb,"\n");
                   10776:        }
                   10777:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   10778:        fprintf(ficrespijb,"\n");
                   10779:       } /* end age deb */
                   10780:     } /* end combination */
                   10781:   } /* end nres */
1.218     brouard  10782:   return 0;
                   10783:  } /*  hBijx */
1.217     brouard  10784: 
1.180     brouard  10785: 
1.136     brouard  10786: /***********************************************/
                   10787: /**************** Main Program *****************/
                   10788: /***********************************************/
                   10789: 
                   10790: int main(int argc, char *argv[])
                   10791: {
                   10792: #ifdef GSL
                   10793:   const gsl_multimin_fminimizer_type *T;
                   10794:   size_t iteri = 0, it;
                   10795:   int rval = GSL_CONTINUE;
                   10796:   int status = GSL_SUCCESS;
                   10797:   double ssval;
                   10798: #endif
                   10799:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.290     brouard  10800:   int i,j, k, iter=0,m,size=100, cptcod; /* Suppressing because nobs */
                   10801:   /* int i,j, k, n=MAXN,iter=0,m,size=100, cptcod; */
1.209     brouard  10802:   int ncvyear=0; /* Number of years needed for the period prevalence to converge */
1.164     brouard  10803:   int jj, ll, li, lj, lk;
1.136     brouard  10804:   int numlinepar=0; /* Current linenumber of parameter file */
1.197     brouard  10805:   int num_filled;
1.136     brouard  10806:   int itimes;
                   10807:   int NDIM=2;
                   10808:   int vpopbased=0;
1.235     brouard  10809:   int nres=0;
1.258     brouard  10810:   int endishere=0;
1.277     brouard  10811:   int noffset=0;
1.274     brouard  10812:   int ncurrv=0; /* Temporary variable */
                   10813:   
1.164     brouard  10814:   char ca[32], cb[32];
1.136     brouard  10815:   /*  FILE *fichtm; *//* Html File */
                   10816:   /* FILE *ficgp;*/ /*Gnuplot File */
                   10817:   struct stat info;
1.191     brouard  10818:   double agedeb=0.;
1.194     brouard  10819: 
                   10820:   double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
1.219     brouard  10821:   double ageminout=-AGEOVERFLOW,agemaxout=AGEOVERFLOW; /* Smaller Age range redefined after movingaverage */
1.136     brouard  10822: 
1.165     brouard  10823:   double fret;
1.191     brouard  10824:   double dum=0.; /* Dummy variable */
1.136     brouard  10825:   double ***p3mat;
1.218     brouard  10826:   /* double ***mobaverage; */
1.164     brouard  10827: 
                   10828:   char line[MAXLINE];
1.197     brouard  10829:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
                   10830: 
1.234     brouard  10831:   char  modeltemp[MAXLINE];
1.230     brouard  10832:   char resultline[MAXLINE];
                   10833:   
1.136     brouard  10834:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  10835:   char *tok, *val; /* pathtot */
1.290     brouard  10836:   int firstobs=1, lastobs=10; /* nobs = lastobs-firstobs declared globally ;*/
1.195     brouard  10837:   int c,  h , cpt, c2;
1.191     brouard  10838:   int jl=0;
                   10839:   int i1, j1, jk, stepsize=0;
1.194     brouard  10840:   int count=0;
                   10841: 
1.164     brouard  10842:   int *tab; 
1.136     brouard  10843:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
1.296     brouard  10844:   /* double anprojd, mprojd, jprojd; /\* For eventual projections *\/ */
                   10845:   /* double anprojf, mprojf, jprojf; */
                   10846:   /* double jintmean,mintmean,aintmean;   */
                   10847:   int prvforecast = 0; /* Might be 1 (date of beginning of projection is a choice or 2 is the dateintmean */
                   10848:   int prvbackcast = 0; /* Might be 1 (date of beginning of projection is a choice or 2 is the dateintmean */
                   10849:   double yrfproj= 10.0; /* Number of years of forward projections */
                   10850:   double yrbproj= 10.0; /* Number of years of backward projections */
                   10851:   int prevbcast=0; /* defined as global for mlikeli and mle, replacing backcast */
1.136     brouard  10852:   int mobilav=0,popforecast=0;
1.191     brouard  10853:   int hstepm=0, nhstepm=0;
1.136     brouard  10854:   int agemortsup;
                   10855:   float  sumlpop=0.;
                   10856:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   10857:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   10858: 
1.191     brouard  10859:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  10860:   double ftolpl=FTOL;
                   10861:   double **prlim;
1.217     brouard  10862:   double **bprlim;
1.136     brouard  10863:   double ***param; /* Matrix of parameters */
1.251     brouard  10864:   double ***paramstart; /* Matrix of starting parameter values */
                   10865:   double  *p, *pstart; /* p=param[1][1] pstart is for starting values guessed by freqsummary */
1.136     brouard  10866:   double **matcov; /* Matrix of covariance */
1.203     brouard  10867:   double **hess; /* Hessian matrix */
1.136     brouard  10868:   double ***delti3; /* Scale */
                   10869:   double *delti; /* Scale */
                   10870:   double ***eij, ***vareij;
                   10871:   double **varpl; /* Variances of prevalence limits by age */
1.269     brouard  10872: 
1.136     brouard  10873:   double *epj, vepp;
1.164     brouard  10874: 
1.273     brouard  10875:   double dateprev1, dateprev2;
1.296     brouard  10876:   double jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000, dateproj1=0, dateproj2=0, dateprojd=0, dateprojf=0;
                   10877:   double jback1=1,mback1=1,anback1=2000,jback2=1,mback2=1,anback2=2000, dateback1=0, dateback2=0, datebackd=0, datebackf=0;
                   10878: 
1.217     brouard  10879: 
1.136     brouard  10880:   double **ximort;
1.145     brouard  10881:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  10882:   int *dcwave;
                   10883: 
1.164     brouard  10884:   char z[1]="c";
1.136     brouard  10885: 
                   10886:   /*char  *strt;*/
                   10887:   char strtend[80];
1.126     brouard  10888: 
1.164     brouard  10889: 
1.126     brouard  10890: /*   setlocale (LC_ALL, ""); */
                   10891: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   10892: /*   textdomain (PACKAGE); */
                   10893: /*   setlocale (LC_CTYPE, ""); */
                   10894: /*   setlocale (LC_MESSAGES, ""); */
                   10895: 
                   10896:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  10897:   rstart_time = time(NULL);  
                   10898:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   10899:   start_time = *localtime(&rstart_time);
1.126     brouard  10900:   curr_time=start_time;
1.157     brouard  10901:   /*tml = *localtime(&start_time.tm_sec);*/
                   10902:   /* strcpy(strstart,asctime(&tml)); */
                   10903:   strcpy(strstart,asctime(&start_time));
1.126     brouard  10904: 
                   10905: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  10906: /*  tp.tm_sec = tp.tm_sec +86400; */
                   10907: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  10908: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   10909: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   10910: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  10911: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  10912: /*   strt=asctime(&tmg); */
                   10913: /*   printf("Time(after) =%s",strstart);  */
                   10914: /*  (void) time (&time_value);
                   10915: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   10916: *  tm = *localtime(&time_value);
                   10917: *  strstart=asctime(&tm);
                   10918: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   10919: */
                   10920: 
                   10921:   nberr=0; /* Number of errors and warnings */
                   10922:   nbwarn=0;
1.184     brouard  10923: #ifdef WIN32
                   10924:   _getcwd(pathcd, size);
                   10925: #else
1.126     brouard  10926:   getcwd(pathcd, size);
1.184     brouard  10927: #endif
1.191     brouard  10928:   syscompilerinfo(0);
1.196     brouard  10929:   printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
1.126     brouard  10930:   if(argc <=1){
                   10931:     printf("\nEnter the parameter file name: ");
1.205     brouard  10932:     if(!fgets(pathr,FILENAMELENGTH,stdin)){
                   10933:       printf("ERROR Empty parameter file name\n");
                   10934:       goto end;
                   10935:     }
1.126     brouard  10936:     i=strlen(pathr);
                   10937:     if(pathr[i-1]=='\n')
                   10938:       pathr[i-1]='\0';
1.156     brouard  10939:     i=strlen(pathr);
1.205     brouard  10940:     if(i >= 1 && pathr[i-1]==' ') {/* This may happen when dragging on oS/X! */
1.156     brouard  10941:       pathr[i-1]='\0';
1.205     brouard  10942:     }
                   10943:     i=strlen(pathr);
                   10944:     if( i==0 ){
                   10945:       printf("ERROR Empty parameter file name\n");
                   10946:       goto end;
                   10947:     }
                   10948:     for (tok = pathr; tok != NULL; ){
1.126     brouard  10949:       printf("Pathr |%s|\n",pathr);
                   10950:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   10951:       printf("val= |%s| pathr=%s\n",val,pathr);
                   10952:       strcpy (pathtot, val);
                   10953:       if(pathr[0] == '\0') break; /* Dirty */
                   10954:     }
                   10955:   }
1.281     brouard  10956:   else if (argc<=2){
                   10957:     strcpy(pathtot,argv[1]);
                   10958:   }
1.126     brouard  10959:   else{
                   10960:     strcpy(pathtot,argv[1]);
1.281     brouard  10961:     strcpy(z,argv[2]);
                   10962:     printf("\nargv[2]=%s z=%c\n",argv[2],z[0]);
1.126     brouard  10963:   }
                   10964:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   10965:   /*cygwin_split_path(pathtot,path,optionfile);
                   10966:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   10967:   /* cutv(path,optionfile,pathtot,'\\');*/
                   10968: 
                   10969:   /* Split argv[0], imach program to get pathimach */
                   10970:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   10971:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   10972:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   10973:  /*   strcpy(pathimach,argv[0]); */
                   10974:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   10975:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   10976:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  10977: #ifdef WIN32
                   10978:   _chdir(path); /* Can be a relative path */
                   10979:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   10980: #else
1.126     brouard  10981:   chdir(path); /* Can be a relative path */
1.184     brouard  10982:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   10983: #endif
                   10984:   printf("Current directory %s!\n",pathcd);
1.126     brouard  10985:   strcpy(command,"mkdir ");
                   10986:   strcat(command,optionfilefiname);
                   10987:   if((outcmd=system(command)) != 0){
1.169     brouard  10988:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  10989:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   10990:     /* fclose(ficlog); */
                   10991: /*     exit(1); */
                   10992:   }
                   10993: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   10994: /*     perror("mkdir"); */
                   10995: /*   } */
                   10996: 
                   10997:   /*-------- arguments in the command line --------*/
                   10998: 
1.186     brouard  10999:   /* Main Log file */
1.126     brouard  11000:   strcat(filelog, optionfilefiname);
                   11001:   strcat(filelog,".log");    /* */
                   11002:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   11003:     printf("Problem with logfile %s\n",filelog);
                   11004:     goto end;
                   11005:   }
                   11006:   fprintf(ficlog,"Log filename:%s\n",filelog);
1.197     brouard  11007:   fprintf(ficlog,"Version %s %s",version,fullversion);
1.126     brouard  11008:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   11009:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   11010:  path=%s \n\
                   11011:  optionfile=%s\n\
                   11012:  optionfilext=%s\n\
1.156     brouard  11013:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  11014: 
1.197     brouard  11015:   syscompilerinfo(1);
1.167     brouard  11016: 
1.126     brouard  11017:   printf("Local time (at start):%s",strstart);
                   11018:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   11019:   fflush(ficlog);
                   11020: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  11021: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  11022: 
                   11023:   /* */
                   11024:   strcpy(fileres,"r");
                   11025:   strcat(fileres, optionfilefiname);
1.201     brouard  11026:   strcat(fileresu, optionfilefiname); /* Without r in front */
1.126     brouard  11027:   strcat(fileres,".txt");    /* Other files have txt extension */
1.201     brouard  11028:   strcat(fileresu,".txt");    /* Other files have txt extension */
1.126     brouard  11029: 
1.186     brouard  11030:   /* Main ---------arguments file --------*/
1.126     brouard  11031: 
                   11032:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  11033:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   11034:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  11035:     fflush(ficlog);
1.149     brouard  11036:     /* goto end; */
                   11037:     exit(70); 
1.126     brouard  11038:   }
                   11039: 
                   11040:   strcpy(filereso,"o");
1.201     brouard  11041:   strcat(filereso,fileresu);
1.126     brouard  11042:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   11043:     printf("Problem with Output resultfile: %s\n", filereso);
                   11044:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   11045:     fflush(ficlog);
                   11046:     goto end;
                   11047:   }
1.278     brouard  11048:       /*-------- Rewriting parameter file ----------*/
                   11049:   strcpy(rfileres,"r");    /* "Rparameterfile */
                   11050:   strcat(rfileres,optionfilefiname);    /* Parameter file first name */
                   11051:   strcat(rfileres,".");    /* */
                   11052:   strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   11053:   if((ficres =fopen(rfileres,"w"))==NULL) {
                   11054:     printf("Problem writing new parameter file: %s\n", rfileres);goto end;
                   11055:     fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
                   11056:     fflush(ficlog);
                   11057:     goto end;
                   11058:   }
                   11059:   fprintf(ficres,"#IMaCh %s\n",version);
1.126     brouard  11060: 
1.278     brouard  11061:                                      
1.126     brouard  11062:   /* Reads comments: lines beginning with '#' */
                   11063:   numlinepar=0;
1.277     brouard  11064:   /* Is it a BOM UTF-8 Windows file? */
                   11065:   /* First parameter line */
1.197     brouard  11066:   while(fgets(line, MAXLINE, ficpar)) {
1.277     brouard  11067:     noffset=0;
                   11068:     if( line[0] == (char)0xEF && line[1] == (char)0xBB) /* EF BB BF */
                   11069:     {
                   11070:       noffset=noffset+3;
                   11071:       printf("# File is an UTF8 Bom.\n"); // 0xBF
                   11072:     }
                   11073:     else if( line[0] == (char)0xFE && line[1] == (char)0xFF)
                   11074:     {
                   11075:       noffset=noffset+2;
                   11076:       printf("# File is an UTF16BE BOM file\n");
                   11077:     }
                   11078:     else if( line[0] == 0 && line[1] == 0)
                   11079:     {
                   11080:       if( line[2] == (char)0xFE && line[3] == (char)0xFF){
                   11081:        noffset=noffset+4;
                   11082:        printf("# File is an UTF16BE BOM file\n");
                   11083:       }
                   11084:     } else{
                   11085:       ;/*printf(" Not a BOM file\n");*/
                   11086:     }
                   11087:   
1.197     brouard  11088:     /* If line starts with a # it is a comment */
1.277     brouard  11089:     if (line[noffset] == '#') {
1.197     brouard  11090:       numlinepar++;
                   11091:       fputs(line,stdout);
                   11092:       fputs(line,ficparo);
1.278     brouard  11093:       fputs(line,ficres);
1.197     brouard  11094:       fputs(line,ficlog);
                   11095:       continue;
                   11096:     }else
                   11097:       break;
                   11098:   }
                   11099:   if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                   11100:                        title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
                   11101:     if (num_filled != 5) {
                   11102:       printf("Should be 5 parameters\n");
1.283     brouard  11103:       fprintf(ficlog,"Should be 5 parameters\n");
1.197     brouard  11104:     }
1.126     brouard  11105:     numlinepar++;
1.197     brouard  11106:     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
1.283     brouard  11107:     fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   11108:     fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   11109:     fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
1.197     brouard  11110:   }
                   11111:   /* Second parameter line */
                   11112:   while(fgets(line, MAXLINE, ficpar)) {
1.283     brouard  11113:     /* while(fscanf(ficpar,"%[^\n]", line)) { */
                   11114:     /* If line starts with a # it is a comment. Strangely fgets reads the EOL and fputs doesn't */
1.197     brouard  11115:     if (line[0] == '#') {
                   11116:       numlinepar++;
1.283     brouard  11117:       printf("%s",line);
                   11118:       fprintf(ficres,"%s",line);
                   11119:       fprintf(ficparo,"%s",line);
                   11120:       fprintf(ficlog,"%s",line);
1.197     brouard  11121:       continue;
                   11122:     }else
                   11123:       break;
                   11124:   }
1.223     brouard  11125:   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", \
                   11126:                        &ftol, &stepm, &ncovcol, &nqv, &ntv, &nqtv, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
                   11127:     if (num_filled != 11) {
                   11128:       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  11129:       printf("but line=%s\n",line);
1.283     brouard  11130:       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");
                   11131:       fprintf(ficlog,"but line=%s\n",line);
1.197     brouard  11132:     }
1.286     brouard  11133:     if( lastpass > maxwav){
                   11134:       printf("Error (lastpass = %d) > (maxwav = %d)\n",lastpass, maxwav);
                   11135:       fprintf(ficlog,"Error (lastpass = %d) > (maxwav = %d)\n",lastpass, maxwav);
                   11136:       fflush(ficlog);
                   11137:       goto end;
                   11138:     }
                   11139:       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  11140:     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  11141:     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  11142:     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  11143:   }
1.203     brouard  11144:   /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
1.209     brouard  11145:   /*ftolpl=6.e-4; *//* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
1.197     brouard  11146:   /* Third parameter line */
                   11147:   while(fgets(line, MAXLINE, ficpar)) {
                   11148:     /* If line starts with a # it is a comment */
                   11149:     if (line[0] == '#') {
                   11150:       numlinepar++;
1.283     brouard  11151:       printf("%s",line);
                   11152:       fprintf(ficres,"%s",line);
                   11153:       fprintf(ficparo,"%s",line);
                   11154:       fprintf(ficlog,"%s",line);
1.197     brouard  11155:       continue;
                   11156:     }else
                   11157:       break;
                   11158:   }
1.201     brouard  11159:   if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){
1.279     brouard  11160:     if (num_filled != 1){
                   11161:       printf("ERROR %d: Model should be at minimum 'model=1+age' %s\n",num_filled, line);
                   11162:       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age' %s\n",num_filled, line);
1.197     brouard  11163:       model[0]='\0';
                   11164:       goto end;
                   11165:     }
                   11166:     else{
                   11167:       if (model[0]=='+'){
                   11168:        for(i=1; i<=strlen(model);i++)
                   11169:          modeltemp[i-1]=model[i];
1.201     brouard  11170:        strcpy(model,modeltemp); 
1.197     brouard  11171:       }
                   11172:     }
1.199     brouard  11173:     /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
1.203     brouard  11174:     printf("model=1+age+%s\n",model);fflush(stdout);
1.283     brouard  11175:     fprintf(ficparo,"model=1+age+%s\n",model);fflush(stdout);
                   11176:     fprintf(ficres,"model=1+age+%s\n",model);fflush(stdout);
                   11177:     fprintf(ficlog,"model=1+age+%s\n",model);fflush(stdout);
1.197     brouard  11178:   }
                   11179:   /* 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); */
                   11180:   /* numlinepar=numlinepar+3; /\* In general *\/ */
                   11181:   /* 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  11182:   /* 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); */
                   11183:   /* 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  11184:   fflush(ficlog);
1.190     brouard  11185:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   11186:   if(model[0]=='#'){
1.279     brouard  11187:     printf("Error in 'model' line: model should start with 'model=1+age+' and end without space \n \
                   11188:  'model=1+age+' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age' or \n \
                   11189:  'model=1+age+V1+V2' or 'model=1+age+V1+V2+V1*V2' etc. \n");           \
1.187     brouard  11190:     if(mle != -1){
1.279     brouard  11191:       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  11192:       exit(1);
                   11193:     }
                   11194:   }
1.126     brouard  11195:   while((c=getc(ficpar))=='#' && c!= EOF){
                   11196:     ungetc(c,ficpar);
                   11197:     fgets(line, MAXLINE, ficpar);
                   11198:     numlinepar++;
1.195     brouard  11199:     if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
                   11200:       z[0]=line[1];
                   11201:     }
                   11202:     /* printf("****line [1] = %c \n",line[1]); */
1.141     brouard  11203:     fputs(line, stdout);
                   11204:     //puts(line);
1.126     brouard  11205:     fputs(line,ficparo);
                   11206:     fputs(line,ficlog);
                   11207:   }
                   11208:   ungetc(c,ficpar);
                   11209: 
                   11210:    
1.290     brouard  11211:   covar=matrix(0,NCOVMAX,firstobs,lastobs);  /**< used in readdata */
                   11212:   if(nqv>=1)coqvar=matrix(1,nqv,firstobs,lastobs);  /**< Fixed quantitative covariate */
                   11213:   if(nqtv>=1)cotqvar=ma3x(1,maxwav,1,nqtv,firstobs,lastobs);  /**< Time varying quantitative covariate */
                   11214:   if(ntv+nqtv>=1)cotvar=ma3x(1,maxwav,1,ntv+nqtv,firstobs,lastobs);  /**< Time varying covariate (dummy and quantitative)*/
1.136     brouard  11215:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   11216:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   11217:      v1+v2*age+v2*v3 makes cptcovn = 3
                   11218:   */
                   11219:   if (strlen(model)>1) 
1.187     brouard  11220:     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  11221:   else
1.187     brouard  11222:     ncovmodel=2; /* Constant and age */
1.133     brouard  11223:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   11224:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  11225:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   11226:     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);
                   11227:     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);
                   11228:     fflush(stdout);
                   11229:     fclose (ficlog);
                   11230:     goto end;
                   11231:   }
1.126     brouard  11232:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   11233:   delti=delti3[1][1];
                   11234:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   11235:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
1.247     brouard  11236: /* We could also provide initial parameters values giving by simple logistic regression 
                   11237:  * only one way, that is without matrix product. We will have nlstate maximizations */
                   11238:       /* for(i=1;i<nlstate;i++){ */
                   11239:       /*       /\*reducing xi for 1 to npar to 1 to ncovmodel; *\/ */
                   11240:       /*    mlikeli(ficres,p, ncovmodel, ncovmodel, nlstate, ftol, funcnoprod); */
                   11241:       /* } */
1.126     brouard  11242:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191     brouard  11243:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
                   11244:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  11245:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   11246:     fclose (ficparo);
                   11247:     fclose (ficlog);
                   11248:     goto end;
                   11249:     exit(0);
1.220     brouard  11250:   }  else if(mle==-5) { /* Main Wizard */
1.126     brouard  11251:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.192     brouard  11252:     printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   11253:     fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  11254:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   11255:     matcov=matrix(1,npar,1,npar);
1.203     brouard  11256:     hess=matrix(1,npar,1,npar);
1.220     brouard  11257:   }  else{ /* Begin of mle != -1 or -5 */
1.145     brouard  11258:     /* Read guessed parameters */
1.126     brouard  11259:     /* Reads comments: lines beginning with '#' */
                   11260:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11261:       ungetc(c,ficpar);
                   11262:       fgets(line, MAXLINE, ficpar);
                   11263:       numlinepar++;
1.141     brouard  11264:       fputs(line,stdout);
1.126     brouard  11265:       fputs(line,ficparo);
                   11266:       fputs(line,ficlog);
                   11267:     }
                   11268:     ungetc(c,ficpar);
                   11269:     
                   11270:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
1.251     brouard  11271:     paramstart= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
1.126     brouard  11272:     for(i=1; i <=nlstate; i++){
1.234     brouard  11273:       j=0;
1.126     brouard  11274:       for(jj=1; jj <=nlstate+ndeath; jj++){
1.234     brouard  11275:        if(jj==i) continue;
                   11276:        j++;
1.292     brouard  11277:        while((c=getc(ficpar))=='#' && c!= EOF){
                   11278:          ungetc(c,ficpar);
                   11279:          fgets(line, MAXLINE, ficpar);
                   11280:          numlinepar++;
                   11281:          fputs(line,stdout);
                   11282:          fputs(line,ficparo);
                   11283:          fputs(line,ficlog);
                   11284:        }
                   11285:        ungetc(c,ficpar);
1.234     brouard  11286:        fscanf(ficpar,"%1d%1d",&i1,&j1);
                   11287:        if ((i1 != i) || (j1 != jj)){
                   11288:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
1.126     brouard  11289: It might be a problem of design; if ncovcol and the model are correct\n \
                   11290: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
1.234     brouard  11291:          exit(1);
                   11292:        }
                   11293:        fprintf(ficparo,"%1d%1d",i1,j1);
                   11294:        if(mle==1)
                   11295:          printf("%1d%1d",i,jj);
                   11296:        fprintf(ficlog,"%1d%1d",i,jj);
                   11297:        for(k=1; k<=ncovmodel;k++){
                   11298:          fscanf(ficpar," %lf",&param[i][j][k]);
                   11299:          if(mle==1){
                   11300:            printf(" %lf",param[i][j][k]);
                   11301:            fprintf(ficlog," %lf",param[i][j][k]);
                   11302:          }
                   11303:          else
                   11304:            fprintf(ficlog," %lf",param[i][j][k]);
                   11305:          fprintf(ficparo," %lf",param[i][j][k]);
                   11306:        }
                   11307:        fscanf(ficpar,"\n");
                   11308:        numlinepar++;
                   11309:        if(mle==1)
                   11310:          printf("\n");
                   11311:        fprintf(ficlog,"\n");
                   11312:        fprintf(ficparo,"\n");
1.126     brouard  11313:       }
                   11314:     }  
                   11315:     fflush(ficlog);
1.234     brouard  11316:     
1.251     brouard  11317:     /* Reads parameters values */
1.126     brouard  11318:     p=param[1][1];
1.251     brouard  11319:     pstart=paramstart[1][1];
1.126     brouard  11320:     
                   11321:     /* Reads comments: lines beginning with '#' */
                   11322:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11323:       ungetc(c,ficpar);
                   11324:       fgets(line, MAXLINE, ficpar);
                   11325:       numlinepar++;
1.141     brouard  11326:       fputs(line,stdout);
1.126     brouard  11327:       fputs(line,ficparo);
                   11328:       fputs(line,ficlog);
                   11329:     }
                   11330:     ungetc(c,ficpar);
                   11331: 
                   11332:     for(i=1; i <=nlstate; i++){
                   11333:       for(j=1; j <=nlstate+ndeath-1; j++){
1.234     brouard  11334:        fscanf(ficpar,"%1d%1d",&i1,&j1);
                   11335:        if ( (i1-i) * (j1-j) != 0){
                   11336:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   11337:          exit(1);
                   11338:        }
                   11339:        printf("%1d%1d",i,j);
                   11340:        fprintf(ficparo,"%1d%1d",i1,j1);
                   11341:        fprintf(ficlog,"%1d%1d",i1,j1);
                   11342:        for(k=1; k<=ncovmodel;k++){
                   11343:          fscanf(ficpar,"%le",&delti3[i][j][k]);
                   11344:          printf(" %le",delti3[i][j][k]);
                   11345:          fprintf(ficparo," %le",delti3[i][j][k]);
                   11346:          fprintf(ficlog," %le",delti3[i][j][k]);
                   11347:        }
                   11348:        fscanf(ficpar,"\n");
                   11349:        numlinepar++;
                   11350:        printf("\n");
                   11351:        fprintf(ficparo,"\n");
                   11352:        fprintf(ficlog,"\n");
1.126     brouard  11353:       }
                   11354:     }
                   11355:     fflush(ficlog);
1.234     brouard  11356:     
1.145     brouard  11357:     /* Reads covariance matrix */
1.126     brouard  11358:     delti=delti3[1][1];
1.220     brouard  11359:                
                   11360:                
1.126     brouard  11361:     /* 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  11362:                
1.126     brouard  11363:     /* Reads comments: lines beginning with '#' */
                   11364:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11365:       ungetc(c,ficpar);
                   11366:       fgets(line, MAXLINE, ficpar);
                   11367:       numlinepar++;
1.141     brouard  11368:       fputs(line,stdout);
1.126     brouard  11369:       fputs(line,ficparo);
                   11370:       fputs(line,ficlog);
                   11371:     }
                   11372:     ungetc(c,ficpar);
1.220     brouard  11373:                
1.126     brouard  11374:     matcov=matrix(1,npar,1,npar);
1.203     brouard  11375:     hess=matrix(1,npar,1,npar);
1.131     brouard  11376:     for(i=1; i <=npar; i++)
                   11377:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
1.220     brouard  11378:                
1.194     brouard  11379:     /* Scans npar lines */
1.126     brouard  11380:     for(i=1; i <=npar; i++){
1.226     brouard  11381:       count=fscanf(ficpar,"%1d%1d%d",&i1,&j1,&jk);
1.194     brouard  11382:       if(count != 3){
1.226     brouard  11383:        printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  11384: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   11385: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  11386:        fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  11387: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   11388: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  11389:        exit(1);
1.220     brouard  11390:       }else{
1.226     brouard  11391:        if(mle==1)
                   11392:          printf("%1d%1d%d",i1,j1,jk);
                   11393:       }
                   11394:       fprintf(ficlog,"%1d%1d%d",i1,j1,jk);
                   11395:       fprintf(ficparo,"%1d%1d%d",i1,j1,jk);
1.126     brouard  11396:       for(j=1; j <=i; j++){
1.226     brouard  11397:        fscanf(ficpar," %le",&matcov[i][j]);
                   11398:        if(mle==1){
                   11399:          printf(" %.5le",matcov[i][j]);
                   11400:        }
                   11401:        fprintf(ficlog," %.5le",matcov[i][j]);
                   11402:        fprintf(ficparo," %.5le",matcov[i][j]);
1.126     brouard  11403:       }
                   11404:       fscanf(ficpar,"\n");
                   11405:       numlinepar++;
                   11406:       if(mle==1)
1.220     brouard  11407:                                printf("\n");
1.126     brouard  11408:       fprintf(ficlog,"\n");
                   11409:       fprintf(ficparo,"\n");
                   11410:     }
1.194     brouard  11411:     /* End of read covariance matrix npar lines */
1.126     brouard  11412:     for(i=1; i <=npar; i++)
                   11413:       for(j=i+1;j<=npar;j++)
1.226     brouard  11414:        matcov[i][j]=matcov[j][i];
1.126     brouard  11415:     
                   11416:     if(mle==1)
                   11417:       printf("\n");
                   11418:     fprintf(ficlog,"\n");
                   11419:     
                   11420:     fflush(ficlog);
                   11421:     
                   11422:   }    /* End of mle != -3 */
1.218     brouard  11423:   
1.186     brouard  11424:   /*  Main data
                   11425:    */
1.290     brouard  11426:   nobs=lastobs-firstobs+1; /* was = lastobs;*/
                   11427:   /* num=lvector(1,n); */
                   11428:   /* moisnais=vector(1,n); */
                   11429:   /* annais=vector(1,n); */
                   11430:   /* moisdc=vector(1,n); */
                   11431:   /* andc=vector(1,n); */
                   11432:   /* weight=vector(1,n); */
                   11433:   /* agedc=vector(1,n); */
                   11434:   /* cod=ivector(1,n); */
                   11435:   /* for(i=1;i<=n;i++){ */
                   11436:   num=lvector(firstobs,lastobs);
                   11437:   moisnais=vector(firstobs,lastobs);
                   11438:   annais=vector(firstobs,lastobs);
                   11439:   moisdc=vector(firstobs,lastobs);
                   11440:   andc=vector(firstobs,lastobs);
                   11441:   weight=vector(firstobs,lastobs);
                   11442:   agedc=vector(firstobs,lastobs);
                   11443:   cod=ivector(firstobs,lastobs);
                   11444:   for(i=firstobs;i<=lastobs;i++){
1.234     brouard  11445:     num[i]=0;
                   11446:     moisnais[i]=0;
                   11447:     annais[i]=0;
                   11448:     moisdc[i]=0;
                   11449:     andc[i]=0;
                   11450:     agedc[i]=0;
                   11451:     cod[i]=0;
                   11452:     weight[i]=1.0; /* Equal weights, 1 by default */
                   11453:   }
1.290     brouard  11454:   mint=matrix(1,maxwav,firstobs,lastobs);
                   11455:   anint=matrix(1,maxwav,firstobs,lastobs);
                   11456:   s=imatrix(1,maxwav+1,firstobs,lastobs); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  11457:   tab=ivector(1,NCOVMAX);
1.144     brouard  11458:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.192     brouard  11459:   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  11460: 
1.136     brouard  11461:   /* Reads data from file datafile */
                   11462:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   11463:     goto end;
                   11464: 
                   11465:   /* Calculation of the number of parameters from char model */
1.234     brouard  11466:   /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
1.137     brouard  11467:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   11468:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   11469:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   11470:        k=1 Tvar[1]=2 (from V2)
1.234     brouard  11471:   */
                   11472:   
                   11473:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
                   11474:   TvarsDind=ivector(1,NCOVMAX); /*  */
                   11475:   TvarsD=ivector(1,NCOVMAX); /*  */
                   11476:   TvarsQind=ivector(1,NCOVMAX); /*  */
                   11477:   TvarsQ=ivector(1,NCOVMAX); /*  */
1.232     brouard  11478:   TvarF=ivector(1,NCOVMAX); /*  */
                   11479:   TvarFind=ivector(1,NCOVMAX); /*  */
                   11480:   TvarV=ivector(1,NCOVMAX); /*  */
                   11481:   TvarVind=ivector(1,NCOVMAX); /*  */
                   11482:   TvarA=ivector(1,NCOVMAX); /*  */
                   11483:   TvarAind=ivector(1,NCOVMAX); /*  */
1.231     brouard  11484:   TvarFD=ivector(1,NCOVMAX); /*  */
                   11485:   TvarFDind=ivector(1,NCOVMAX); /*  */
                   11486:   TvarFQ=ivector(1,NCOVMAX); /*  */
                   11487:   TvarFQind=ivector(1,NCOVMAX); /*  */
                   11488:   TvarVD=ivector(1,NCOVMAX); /*  */
                   11489:   TvarVDind=ivector(1,NCOVMAX); /*  */
                   11490:   TvarVQ=ivector(1,NCOVMAX); /*  */
                   11491:   TvarVQind=ivector(1,NCOVMAX); /*  */
                   11492: 
1.230     brouard  11493:   Tvalsel=vector(1,NCOVMAX); /*  */
1.233     brouard  11494:   Tvarsel=ivector(1,NCOVMAX); /*  */
1.226     brouard  11495:   Typevar=ivector(-1,NCOVMAX); /* -1 to 2 */
                   11496:   Fixed=ivector(-1,NCOVMAX); /* -1 to 3 */
                   11497:   Dummy=ivector(-1,NCOVMAX); /* -1 to 3 */
1.137     brouard  11498:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   11499:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   11500:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   11501:   */
                   11502:   /* For model-covariate k tells which data-covariate to use but
                   11503:     because this model-covariate is a construction we invent a new column
                   11504:     ncovcol + k1
                   11505:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   11506:     Tvar[3=V1*V4]=4+1 etc */
1.227     brouard  11507:   Tprod=ivector(1,NCOVMAX); /* Gives the k position of the k1 product */
                   11508:   Tposprod=ivector(1,NCOVMAX); /* Gives the k1 product from the k position */
1.137     brouard  11509:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   11510:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
1.227     brouard  11511:      Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5]=2 
1.137     brouard  11512:   */
1.145     brouard  11513:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   11514:   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  11515:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   11516:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  11517:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  11518:                         4 covariates (3 plus signs)
                   11519:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   11520:                      */  
1.230     brouard  11521:   Tmodelind=ivector(1,NCOVMAX);/** gives the k model position of an
1.227     brouard  11522:                                * individual dummy, fixed or varying:
                   11523:                                * Tmodelind[Tvaraff[3]]=9,Tvaraff[1]@9={4,
                   11524:                                * 3, 1, 0, 0, 0, 0, 0, 0},
1.230     brouard  11525:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 , 
                   11526:                                * V1 df, V2 qf, V3 & V4 dv, V5 qv
                   11527:                                * Tmodelind[1]@9={9,0,3,2,}*/
                   11528:   TmodelInvind=ivector(1,NCOVMAX); /* TmodelInvind=Tvar[k]- ncovcol-nqv={5-2-1=2,*/
                   11529:   TmodelInvQind=ivector(1,NCOVMAX);/** gives the k model position of an
1.228     brouard  11530:                                * individual quantitative, fixed or varying:
                   11531:                                * Tmodelqind[1]=1,Tvaraff[1]@9={4,
                   11532:                                * 3, 1, 0, 0, 0, 0, 0, 0},
                   11533:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
1.186     brouard  11534: /* Main decodemodel */
                   11535: 
1.187     brouard  11536: 
1.223     brouard  11537:   if(decodemodel(model, lastobs) == 1) /* In order to get Tvar[k] V4+V3+V5 p Tvar[1]@3  = {4, 3, 5}*/
1.136     brouard  11538:     goto end;
                   11539: 
1.137     brouard  11540:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   11541:     nbwarn++;
                   11542:     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); 
                   11543:     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); 
                   11544:   }
1.136     brouard  11545:     /*  if(mle==1){*/
1.137     brouard  11546:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   11547:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  11548:   }
                   11549: 
                   11550:     /*-calculation of age at interview from date of interview and age at death -*/
                   11551:   agev=matrix(1,maxwav,1,imx);
                   11552: 
                   11553:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   11554:     goto end;
                   11555: 
1.126     brouard  11556: 
1.136     brouard  11557:   agegomp=(int)agemin;
1.290     brouard  11558:   free_vector(moisnais,firstobs,lastobs);
                   11559:   free_vector(annais,firstobs,lastobs);
1.126     brouard  11560:   /* free_matrix(mint,1,maxwav,1,n);
                   11561:      free_matrix(anint,1,maxwav,1,n);*/
1.215     brouard  11562:   /* free_vector(moisdc,1,n); */
                   11563:   /* free_vector(andc,1,n); */
1.145     brouard  11564:   /* */
                   11565:   
1.126     brouard  11566:   wav=ivector(1,imx);
1.214     brouard  11567:   /* dh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11568:   /* bh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11569:   /* mw=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11570:   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.*/
                   11571:   bh=imatrix(1,lastpass-firstpass+2,1,imx);
                   11572:   mw=imatrix(1,lastpass-firstpass+2,1,imx);
1.126     brouard  11573:    
                   11574:   /* Concatenates waves */
1.214     brouard  11575:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   11576:      Death is a valid wave (if date is known).
                   11577:      mw[mi][i] is the number of (mi=1 to wav[i]) effective wave out of mi of individual i
                   11578:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   11579:      and mw[mi+1][i]. dh depends on stepm.
                   11580:   */
                   11581: 
1.126     brouard  11582:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.248     brouard  11583:   /* Concatenates waves */
1.145     brouard  11584:  
1.290     brouard  11585:   free_vector(moisdc,firstobs,lastobs);
                   11586:   free_vector(andc,firstobs,lastobs);
1.215     brouard  11587: 
1.126     brouard  11588:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   11589:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   11590:   ncodemax[1]=1;
1.145     brouard  11591:   Ndum =ivector(-1,NCOVMAX);  
1.225     brouard  11592:   cptcoveff=0;
1.220     brouard  11593:   if (ncovmodel-nagesqr > 2 ){ /* That is if covariate other than cst, age and age*age */
                   11594:     tricode(&cptcoveff,Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
1.227     brouard  11595:   }
                   11596:   
                   11597:   ncovcombmax=pow(2,cptcoveff);
                   11598:   invalidvarcomb=ivector(1, ncovcombmax); 
                   11599:   for(i=1;i<ncovcombmax;i++)
                   11600:     invalidvarcomb[i]=0;
                   11601:   
1.211     brouard  11602:   /* Nbcode gives the value of the lth modality (currently 1 to 2) of jth covariate, in
1.186     brouard  11603:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
1.211     brouard  11604:   /* 1 to ncodemax[j] which is the maximum value of this jth covariate */
1.227     brouard  11605:   
1.200     brouard  11606:   /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
1.198     brouard  11607:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
1.186     brouard  11608:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.211     brouard  11609:   /* nbcode[Tvaraff[j]][codtabm(h,j)]) : if there are only 2 modalities for a covariate j, 
                   11610:    * codtabm(h,j) gives its value classified at position h and nbcode gives how it is coded 
                   11611:    * (currently 0 or 1) in the data.
                   11612:    * In a loop on h=1 to 2**k, and a loop on j (=1 to k), we get the value of 
                   11613:    * corresponding modality (h,j).
                   11614:    */
                   11615: 
1.145     brouard  11616:   h=0;
                   11617:   /*if (cptcovn > 0) */
1.126     brouard  11618:   m=pow(2,cptcoveff);
                   11619:  
1.144     brouard  11620:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.211     brouard  11621:           * For k=4 covariates, h goes from 1 to m=2**k
                   11622:           * codtabm(h,k)=  (1 & (h-1) >> (k-1)) + 1;
                   11623:            * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.186     brouard  11624:           *     h\k   1     2     3     4
1.143     brouard  11625:           *______________________________  
                   11626:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   11627:           *     2     2     1     1     1
                   11628:           *     3 i=2 1     2     1     1
                   11629:           *     4     2     2     1     1
                   11630:           *     5 i=3 1 i=2 1     2     1
                   11631:           *     6     2     1     2     1
                   11632:           *     7 i=4 1     2     2     1
                   11633:           *     8     2     2     2     1
1.197     brouard  11634:           *     9 i=5 1 i=3 1 i=2 1     2
                   11635:           *    10     2     1     1     2
                   11636:           *    11 i=6 1     2     1     2
                   11637:           *    12     2     2     1     2
                   11638:           *    13 i=7 1 i=4 1     2     2    
                   11639:           *    14     2     1     2     2
                   11640:           *    15 i=8 1     2     2     2
                   11641:           *    16     2     2     2     2
1.143     brouard  11642:           */
1.212     brouard  11643:   /* How to do the opposite? From combination h (=1 to 2**k) how to get the value on the covariates? */
1.211     brouard  11644:      /* from h=5 and m, we get then number of covariates k=log(m)/log(2)=4
                   11645:      * and the value of each covariate?
                   11646:      * V1=1, V2=1, V3=2, V4=1 ?
                   11647:      * h-1=4 and 4 is 0100 or reverse 0010, and +1 is 1121 ok.
                   11648:      * h=6, 6-1=5, 5 is 0101, 1010, 2121, V1=2nd, V2=1st, V3=2nd, V4=1st.
                   11649:      * In order to get the real value in the data, we use nbcode
                   11650:      * nbcode[Tvar[3][2nd]]=1 and nbcode[Tvar[4][1]]=0
                   11651:      * We are keeping this crazy system in order to be able (in the future?) 
                   11652:      * to have more than 2 values (0 or 1) for a covariate.
                   11653:      * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
                   11654:      * h=6, k=2? h-1=5=0101, reverse 1010, +1=2121, k=2nd position: value is 1: codtabm(6,2)=1
                   11655:      *              bbbbbbbb
                   11656:      *              76543210     
                   11657:      *   h-1        00000101 (6-1=5)
1.219     brouard  11658:      *(h-1)>>(k-1)= 00000010 >> (2-1) = 1 right shift
1.211     brouard  11659:      *           &
                   11660:      *     1        00000001 (1)
1.219     brouard  11661:      *              00000000        = 1 & ((h-1) >> (k-1))
                   11662:      *          +1= 00000001 =1 
1.211     brouard  11663:      *
                   11664:      * h=14, k=3 => h'=h-1=13, k'=k-1=2
                   11665:      *          h'      1101 =2^3+2^2+0x2^1+2^0
                   11666:      *    >>k'            11
                   11667:      *          &   00000001
                   11668:      *            = 00000001
                   11669:      *      +1    = 00000010=2    =  codtabm(14,3)   
                   11670:      * Reverse h=6 and m=16?
                   11671:      * cptcoveff=log(16)/log(2)=4 covariate: 6-1=5=0101 reversed=1010 +1=2121 =>V1=2, V2=1, V3=2, V4=1.
                   11672:      * for (j=1 to cptcoveff) Vj=decodtabm(j,h,cptcoveff)
                   11673:      * decodtabm(h,j,cptcoveff)= (((h-1) >> (j-1)) & 1) +1 
                   11674:      * decodtabm(h,j,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (j-1)) & 1) +1 : -1)
                   11675:      * V3=decodtabm(14,3,2**4)=2
                   11676:      *          h'=13   1101 =2^3+2^2+0x2^1+2^0
                   11677:      *(h-1) >> (j-1)    0011 =13 >> 2
                   11678:      *          &1 000000001
                   11679:      *           = 000000001
                   11680:      *         +1= 000000010 =2
                   11681:      *                  2211
                   11682:      *                  V1=1+1, V2=0+1, V3=1+1, V4=1+1
                   11683:      *                  V3=2
1.220     brouard  11684:                 * codtabm and decodtabm are identical
1.211     brouard  11685:      */
                   11686: 
1.145     brouard  11687: 
                   11688:  free_ivector(Ndum,-1,NCOVMAX);
                   11689: 
                   11690: 
1.126     brouard  11691:     
1.186     brouard  11692:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  11693:   strcpy(optionfilegnuplot,optionfilefiname);
                   11694:   if(mle==-3)
1.201     brouard  11695:     strcat(optionfilegnuplot,"-MORT_");
1.126     brouard  11696:   strcat(optionfilegnuplot,".gp");
                   11697: 
                   11698:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   11699:     printf("Problem with file %s",optionfilegnuplot);
                   11700:   }
                   11701:   else{
1.204     brouard  11702:     fprintf(ficgp,"\n# IMaCh-%s\n", version); 
1.126     brouard  11703:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  11704:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   11705:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  11706:   }
                   11707:   /*  fclose(ficgp);*/
1.186     brouard  11708: 
                   11709: 
                   11710:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  11711: 
                   11712:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   11713:   if(mle==-3)
1.201     brouard  11714:     strcat(optionfilehtm,"-MORT_");
1.126     brouard  11715:   strcat(optionfilehtm,".htm");
                   11716:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  11717:     printf("Problem with %s \n",optionfilehtm);
                   11718:     exit(0);
1.126     brouard  11719:   }
                   11720: 
                   11721:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   11722:   strcat(optionfilehtmcov,"-cov.htm");
                   11723:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   11724:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   11725:   }
                   11726:   else{
                   11727:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   11728: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  11729: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.126     brouard  11730:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   11731:   }
                   11732: 
1.213     brouard  11733:   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  11734: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   11735: <font size=\"2\">IMaCh-%s <br> %s</font> \
1.126     brouard  11736: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  11737: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n\
1.126     brouard  11738: \n\
                   11739: <hr  size=\"2\" color=\"#EC5E5E\">\
                   11740:  <ul><li><h4>Parameter files</h4>\n\
                   11741:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   11742:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   11743:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   11744:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   11745:  - Date and time at start: %s</ul>\n",\
                   11746:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   11747:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   11748:          fileres,fileres,\
                   11749:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   11750:   fflush(fichtm);
                   11751: 
                   11752:   strcpy(pathr,path);
                   11753:   strcat(pathr,optionfilefiname);
1.184     brouard  11754: #ifdef WIN32
                   11755:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   11756: #else
1.126     brouard  11757:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  11758: #endif
                   11759:          
1.126     brouard  11760:   
1.220     brouard  11761:   /* Calculates basic frequencies. Computes observed prevalence at single age 
                   11762:                 and for any valid combination of covariates
1.126     brouard  11763:      and prints on file fileres'p'. */
1.251     brouard  11764:   freqsummary(fileres, p, pstart, agemin, agemax, s, agev, nlstate, imx, Tvaraff, invalidvarcomb, nbcode, ncodemax,mint,anint,strstart, \
1.227     brouard  11765:              firstpass, lastpass,  stepm,  weightopt, model);
1.126     brouard  11766: 
                   11767:   fprintf(fichtm,"\n");
1.286     brouard  11768:   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  11769:          ftol, stepm);
                   11770:   fprintf(fichtm,"\n<li>Number of fixed dummy covariates: ncovcol=%d ", ncovcol);
                   11771:   ncurrv=1;
                   11772:   for(i=ncurrv; i <=ncovcol; i++) fprintf(fichtm,"V%d ", i);
                   11773:   fprintf(fichtm,"\n<li> Number of fixed quantitative variables: nqv=%d ", nqv); 
                   11774:   ncurrv=i;
                   11775:   for(i=ncurrv; i <=ncurrv-1+nqv; i++) fprintf(fichtm,"V%d ", i);
1.290     brouard  11776:   fprintf(fichtm,"\n<li> Number of time varying (wave varying) dummy covariates: ntv=%d ", ntv);
1.274     brouard  11777:   ncurrv=i;
                   11778:   for(i=ncurrv; i <=ncurrv-1+ntv; i++) fprintf(fichtm,"V%d ", i);
1.290     brouard  11779:   fprintf(fichtm,"\n<li>Number of time varying  quantitative covariates: nqtv=%d ", nqtv);
1.274     brouard  11780:   ncurrv=i;
                   11781:   for(i=ncurrv; i <=ncurrv-1+nqtv; i++) fprintf(fichtm,"V%d ", i);
                   11782:   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", \
                   11783:           nlstate, ndeath, maxwav, mle, weightopt);
                   11784: 
                   11785:   fprintf(fichtm,"<h4> Diagram of states <a href=\"%s_.svg\">%s_.svg</a></h4> \n\
                   11786: <img src=\"%s_.svg\">", subdirf2(optionfilefiname,"D_"),subdirf2(optionfilefiname,"D_"),subdirf2(optionfilefiname,"D_"));
                   11787: 
                   11788:   
                   11789:   fprintf(fichtm,"\n<h4>Some descriptive statistics </h4>\n<br>Total number of observations=%d <br>\n\
1.126     brouard  11790: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   11791: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
1.274     brouard  11792:   imx,agemin,agemax,jmin,jmax,jmean);
1.126     brouard  11793:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
1.268     brouard  11794:   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   11795:   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   11796:   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   11797:   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
1.218     brouard  11798: 
1.126     brouard  11799:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   11800:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   11801:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   11802: 
                   11803:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  11804:   /* For mortality only */
1.126     brouard  11805:   if (mle==-3){
1.136     brouard  11806:     ximort=matrix(1,NDIM,1,NDIM); 
1.248     brouard  11807:     for(i=1;i<=NDIM;i++)
                   11808:       for(j=1;j<=NDIM;j++)
                   11809:        ximort[i][j]=0.;
1.186     brouard  11810:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.290     brouard  11811:     cens=ivector(firstobs,lastobs);
                   11812:     ageexmed=vector(firstobs,lastobs);
                   11813:     agecens=vector(firstobs,lastobs);
                   11814:     dcwave=ivector(firstobs,lastobs);
1.223     brouard  11815:                
1.126     brouard  11816:     for (i=1; i<=imx; i++){
                   11817:       dcwave[i]=-1;
                   11818:       for (m=firstpass; m<=lastpass; m++)
1.226     brouard  11819:        if (s[m][i]>nlstate) {
                   11820:          dcwave[i]=m;
                   11821:          /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
                   11822:          break;
                   11823:        }
1.126     brouard  11824:     }
1.226     brouard  11825:     
1.126     brouard  11826:     for (i=1; i<=imx; i++) {
                   11827:       if (wav[i]>0){
1.226     brouard  11828:        ageexmed[i]=agev[mw[1][i]][i];
                   11829:        j=wav[i];
                   11830:        agecens[i]=1.; 
                   11831:        
                   11832:        if (ageexmed[i]> 1 && wav[i] > 0){
                   11833:          agecens[i]=agev[mw[j][i]][i];
                   11834:          cens[i]= 1;
                   11835:        }else if (ageexmed[i]< 1) 
                   11836:          cens[i]= -1;
                   11837:        if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
                   11838:          cens[i]=0 ;
1.126     brouard  11839:       }
                   11840:       else cens[i]=-1;
                   11841:     }
                   11842:     
                   11843:     for (i=1;i<=NDIM;i++) {
                   11844:       for (j=1;j<=NDIM;j++)
1.226     brouard  11845:        ximort[i][j]=(i == j ? 1.0 : 0.0);
1.126     brouard  11846:     }
                   11847:     
1.145     brouard  11848:     /*p[1]=0.0268; p[NDIM]=0.083;*/
1.126     brouard  11849:     /*printf("%lf %lf", p[1], p[2]);*/
                   11850:     
                   11851:     
1.136     brouard  11852: #ifdef GSL
                   11853:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  11854: #else
1.126     brouard  11855:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  11856: #endif
1.201     brouard  11857:     strcpy(filerespow,"POW-MORT_"); 
                   11858:     strcat(filerespow,fileresu);
1.126     brouard  11859:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   11860:       printf("Problem with resultfile: %s\n", filerespow);
                   11861:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   11862:     }
1.136     brouard  11863: #ifdef GSL
                   11864:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  11865: #else
1.126     brouard  11866:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  11867: #endif
1.126     brouard  11868:     /*  for (i=1;i<=nlstate;i++)
                   11869:        for(j=1;j<=nlstate+ndeath;j++)
                   11870:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   11871:     */
                   11872:     fprintf(ficrespow,"\n");
1.136     brouard  11873: #ifdef GSL
                   11874:     /* gsl starts here */ 
                   11875:     T = gsl_multimin_fminimizer_nmsimplex;
                   11876:     gsl_multimin_fminimizer *sfm = NULL;
                   11877:     gsl_vector *ss, *x;
                   11878:     gsl_multimin_function minex_func;
                   11879: 
                   11880:     /* Initial vertex size vector */
                   11881:     ss = gsl_vector_alloc (NDIM);
                   11882:     
                   11883:     if (ss == NULL){
                   11884:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   11885:     }
                   11886:     /* Set all step sizes to 1 */
                   11887:     gsl_vector_set_all (ss, 0.001);
                   11888: 
                   11889:     /* Starting point */
1.126     brouard  11890:     
1.136     brouard  11891:     x = gsl_vector_alloc (NDIM);
                   11892:     
                   11893:     if (x == NULL){
                   11894:       gsl_vector_free(ss);
                   11895:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   11896:     }
                   11897:   
                   11898:     /* Initialize method and iterate */
                   11899:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  11900:     /*     gsl_vector_set(x, 0, 0.0268); */
                   11901:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  11902:     gsl_vector_set(x, 0, p[1]);
                   11903:     gsl_vector_set(x, 1, p[2]);
                   11904: 
                   11905:     minex_func.f = &gompertz_f;
                   11906:     minex_func.n = NDIM;
                   11907:     minex_func.params = (void *)&p; /* ??? */
                   11908:     
                   11909:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   11910:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   11911:     
                   11912:     printf("Iterations beginning .....\n\n");
                   11913:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   11914: 
                   11915:     iteri=0;
                   11916:     while (rval == GSL_CONTINUE){
                   11917:       iteri++;
                   11918:       status = gsl_multimin_fminimizer_iterate(sfm);
                   11919:       
                   11920:       if (status) printf("error: %s\n", gsl_strerror (status));
                   11921:       fflush(0);
                   11922:       
                   11923:       if (status) 
                   11924:         break;
                   11925:       
                   11926:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   11927:       ssval = gsl_multimin_fminimizer_size (sfm);
                   11928:       
                   11929:       if (rval == GSL_SUCCESS)
                   11930:         printf ("converged to a local maximum at\n");
                   11931:       
                   11932:       printf("%5d ", iteri);
                   11933:       for (it = 0; it < NDIM; it++){
                   11934:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   11935:       }
                   11936:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   11937:     }
                   11938:     
                   11939:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   11940:     
                   11941:     gsl_vector_free(x); /* initial values */
                   11942:     gsl_vector_free(ss); /* inital step size */
                   11943:     for (it=0; it<NDIM; it++){
                   11944:       p[it+1]=gsl_vector_get(sfm->x,it);
                   11945:       fprintf(ficrespow," %.12lf", p[it]);
                   11946:     }
                   11947:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   11948: #endif
                   11949: #ifdef POWELL
                   11950:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   11951: #endif  
1.126     brouard  11952:     fclose(ficrespow);
                   11953:     
1.203     brouard  11954:     hesscov(matcov, hess, p, NDIM, delti, 1e-4, gompertz); 
1.126     brouard  11955: 
                   11956:     for(i=1; i <=NDIM; i++)
                   11957:       for(j=i+1;j<=NDIM;j++)
1.220     brouard  11958:                                matcov[i][j]=matcov[j][i];
1.126     brouard  11959:     
                   11960:     printf("\nCovariance matrix\n ");
1.203     brouard  11961:     fprintf(ficlog,"\nCovariance matrix\n ");
1.126     brouard  11962:     for(i=1; i <=NDIM; i++) {
                   11963:       for(j=1;j<=NDIM;j++){ 
1.220     brouard  11964:                                printf("%f ",matcov[i][j]);
                   11965:                                fprintf(ficlog,"%f ",matcov[i][j]);
1.126     brouard  11966:       }
1.203     brouard  11967:       printf("\n ");  fprintf(ficlog,"\n ");
1.126     brouard  11968:     }
                   11969:     
                   11970:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
1.193     brouard  11971:     for (i=1;i<=NDIM;i++) {
1.126     brouard  11972:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.193     brouard  11973:       fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   11974:     }
1.126     brouard  11975:     lsurv=vector(1,AGESUP);
                   11976:     lpop=vector(1,AGESUP);
                   11977:     tpop=vector(1,AGESUP);
                   11978:     lsurv[agegomp]=100000;
                   11979:     
                   11980:     for (k=agegomp;k<=AGESUP;k++) {
                   11981:       agemortsup=k;
                   11982:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   11983:     }
                   11984:     
                   11985:     for (k=agegomp;k<agemortsup;k++)
                   11986:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   11987:     
                   11988:     for (k=agegomp;k<agemortsup;k++){
                   11989:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   11990:       sumlpop=sumlpop+lpop[k];
                   11991:     }
                   11992:     
                   11993:     tpop[agegomp]=sumlpop;
                   11994:     for (k=agegomp;k<(agemortsup-3);k++){
                   11995:       /*  tpop[k+1]=2;*/
                   11996:       tpop[k+1]=tpop[k]-lpop[k];
                   11997:     }
                   11998:     
                   11999:     
                   12000:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   12001:     for (k=agegomp;k<(agemortsup-2);k++) 
                   12002:       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]);
                   12003:     
                   12004:     
                   12005:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.220     brouard  12006:                ageminpar=50;
                   12007:                agemaxpar=100;
1.194     brouard  12008:     if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
                   12009:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   12010: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12011: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   12012:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   12013: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12014: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  12015:     }else{
                   12016:                        printf("Warning! ageminpar %f and agemaxpar %f have been fixed because for simplification until it is fixed...\n\n",ageminpar,agemaxpar);
                   12017:                        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  12018:       printinggnuplotmort(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
1.220     brouard  12019:                }
1.201     brouard  12020:     printinghtmlmort(fileresu,title,datafile, firstpass, lastpass, \
1.126     brouard  12021:                     stepm, weightopt,\
                   12022:                     model,imx,p,matcov,agemortsup);
                   12023:     
                   12024:     free_vector(lsurv,1,AGESUP);
                   12025:     free_vector(lpop,1,AGESUP);
                   12026:     free_vector(tpop,1,AGESUP);
1.220     brouard  12027:     free_matrix(ximort,1,NDIM,1,NDIM);
1.290     brouard  12028:     free_ivector(dcwave,firstobs,lastobs);
                   12029:     free_vector(agecens,firstobs,lastobs);
                   12030:     free_vector(ageexmed,firstobs,lastobs);
                   12031:     free_ivector(cens,firstobs,lastobs);
1.220     brouard  12032: #ifdef GSL
1.136     brouard  12033: #endif
1.186     brouard  12034:   } /* Endof if mle==-3 mortality only */
1.205     brouard  12035:   /* Standard  */
                   12036:   else{ /* For mle !=- 3, could be 0 or 1 or 4 etc. */
                   12037:     globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   12038:     /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
1.132     brouard  12039:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  12040:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   12041:     for (k=1; k<=npar;k++)
                   12042:       printf(" %d %8.5f",k,p[k]);
                   12043:     printf("\n");
1.205     brouard  12044:     if(mle>=1){ /* Could be 1 or 2, Real Maximization */
                   12045:       /* mlikeli uses func not funcone */
1.247     brouard  12046:       /* for(i=1;i<nlstate;i++){ */
                   12047:       /*       /\*reducing xi for 1 to npar to 1 to ncovmodel; *\/ */
                   12048:       /*    mlikeli(ficres,p, ncovmodel, ncovmodel, nlstate, ftol, funcnoprod); */
                   12049:       /* } */
1.205     brouard  12050:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
                   12051:     }
                   12052:     if(mle==0) {/* No optimization, will print the likelihoods for the datafile */
                   12053:       globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   12054:       /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
                   12055:       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   12056:     }
                   12057:     globpr=1; /* again, to print the individual contributions using computed gpimx and gsw */
1.126     brouard  12058:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   12059:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   12060:     for (k=1; k<=npar;k++)
                   12061:       printf(" %d %8.5f",k,p[k]);
                   12062:     printf("\n");
                   12063:     
                   12064:     /*--------- results files --------------*/
1.283     brouard  12065:     /* 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  12066:     
                   12067:     
                   12068:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   12069:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   12070:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   12071:     for(i=1,jk=1; i <=nlstate; i++){
                   12072:       for(k=1; k <=(nlstate+ndeath); k++){
1.225     brouard  12073:        if (k != i) {
                   12074:          printf("%d%d ",i,k);
                   12075:          fprintf(ficlog,"%d%d ",i,k);
                   12076:          fprintf(ficres,"%1d%1d ",i,k);
                   12077:          for(j=1; j <=ncovmodel; j++){
                   12078:            printf("%12.7f ",p[jk]);
                   12079:            fprintf(ficlog,"%12.7f ",p[jk]);
                   12080:            fprintf(ficres,"%12.7f ",p[jk]);
                   12081:            jk++; 
                   12082:          }
                   12083:          printf("\n");
                   12084:          fprintf(ficlog,"\n");
                   12085:          fprintf(ficres,"\n");
                   12086:        }
1.126     brouard  12087:       }
                   12088:     }
1.203     brouard  12089:     if(mle != 0){
                   12090:       /* Computing hessian and covariance matrix only at a peak of the Likelihood, that is after optimization */
1.126     brouard  12091:       ftolhess=ftol; /* Usually correct */
1.203     brouard  12092:       hesscov(matcov, hess, p, npar, delti, ftolhess, func);
                   12093:       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");
                   12094:       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");
                   12095:       for(i=1,jk=1; i <=nlstate; i++){
1.225     brouard  12096:        for(k=1; k <=(nlstate+ndeath); k++){
                   12097:          if (k != i) {
                   12098:            printf("%d%d ",i,k);
                   12099:            fprintf(ficlog,"%d%d ",i,k);
                   12100:            for(j=1; j <=ncovmodel; j++){
                   12101:              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]));
                   12102:              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]));
                   12103:              jk++; 
                   12104:            }
                   12105:            printf("\n");
                   12106:            fprintf(ficlog,"\n");
                   12107:          }
                   12108:        }
1.193     brouard  12109:       }
1.203     brouard  12110:     } /* end of hesscov and Wald tests */
1.225     brouard  12111:     
1.203     brouard  12112:     /*  */
1.126     brouard  12113:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   12114:     printf("# Scales (for hessian or gradient estimation)\n");
                   12115:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   12116:     for(i=1,jk=1; i <=nlstate; i++){
                   12117:       for(j=1; j <=nlstate+ndeath; j++){
1.225     brouard  12118:        if (j!=i) {
                   12119:          fprintf(ficres,"%1d%1d",i,j);
                   12120:          printf("%1d%1d",i,j);
                   12121:          fprintf(ficlog,"%1d%1d",i,j);
                   12122:          for(k=1; k<=ncovmodel;k++){
                   12123:            printf(" %.5e",delti[jk]);
                   12124:            fprintf(ficlog," %.5e",delti[jk]);
                   12125:            fprintf(ficres," %.5e",delti[jk]);
                   12126:            jk++;
                   12127:          }
                   12128:          printf("\n");
                   12129:          fprintf(ficlog,"\n");
                   12130:          fprintf(ficres,"\n");
                   12131:        }
1.126     brouard  12132:       }
                   12133:     }
                   12134:     
                   12135:     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  12136:     if(mle >= 1) /* To big for the screen */
1.126     brouard  12137:       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");
                   12138:     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");
                   12139:     /* # 121 Var(a12)\n\ */
                   12140:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   12141:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   12142:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   12143:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   12144:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   12145:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   12146:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   12147:     
                   12148:     
                   12149:     /* Just to have a covariance matrix which will be more understandable
                   12150:        even is we still don't want to manage dictionary of variables
                   12151:     */
                   12152:     for(itimes=1;itimes<=2;itimes++){
                   12153:       jj=0;
                   12154:       for(i=1; i <=nlstate; i++){
1.225     brouard  12155:        for(j=1; j <=nlstate+ndeath; j++){
                   12156:          if(j==i) continue;
                   12157:          for(k=1; k<=ncovmodel;k++){
                   12158:            jj++;
                   12159:            ca[0]= k+'a'-1;ca[1]='\0';
                   12160:            if(itimes==1){
                   12161:              if(mle>=1)
                   12162:                printf("#%1d%1d%d",i,j,k);
                   12163:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
                   12164:              fprintf(ficres,"#%1d%1d%d",i,j,k);
                   12165:            }else{
                   12166:              if(mle>=1)
                   12167:                printf("%1d%1d%d",i,j,k);
                   12168:              fprintf(ficlog,"%1d%1d%d",i,j,k);
                   12169:              fprintf(ficres,"%1d%1d%d",i,j,k);
                   12170:            }
                   12171:            ll=0;
                   12172:            for(li=1;li <=nlstate; li++){
                   12173:              for(lj=1;lj <=nlstate+ndeath; lj++){
                   12174:                if(lj==li) continue;
                   12175:                for(lk=1;lk<=ncovmodel;lk++){
                   12176:                  ll++;
                   12177:                  if(ll<=jj){
                   12178:                    cb[0]= lk +'a'-1;cb[1]='\0';
                   12179:                    if(ll<jj){
                   12180:                      if(itimes==1){
                   12181:                        if(mle>=1)
                   12182:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12183:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12184:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12185:                      }else{
                   12186:                        if(mle>=1)
                   12187:                          printf(" %.5e",matcov[jj][ll]); 
                   12188:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   12189:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   12190:                      }
                   12191:                    }else{
                   12192:                      if(itimes==1){
                   12193:                        if(mle>=1)
                   12194:                          printf(" Var(%s%1d%1d)",ca,i,j);
                   12195:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                   12196:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                   12197:                      }else{
                   12198:                        if(mle>=1)
                   12199:                          printf(" %.7e",matcov[jj][ll]); 
                   12200:                        fprintf(ficlog," %.7e",matcov[jj][ll]); 
                   12201:                        fprintf(ficres," %.7e",matcov[jj][ll]); 
                   12202:                      }
                   12203:                    }
                   12204:                  }
                   12205:                } /* end lk */
                   12206:              } /* end lj */
                   12207:            } /* end li */
                   12208:            if(mle>=1)
                   12209:              printf("\n");
                   12210:            fprintf(ficlog,"\n");
                   12211:            fprintf(ficres,"\n");
                   12212:            numlinepar++;
                   12213:          } /* end k*/
                   12214:        } /*end j */
1.126     brouard  12215:       } /* end i */
                   12216:     } /* end itimes */
                   12217:     
                   12218:     fflush(ficlog);
                   12219:     fflush(ficres);
1.225     brouard  12220:     while(fgets(line, MAXLINE, ficpar)) {
                   12221:       /* If line starts with a # it is a comment */
                   12222:       if (line[0] == '#') {
                   12223:        numlinepar++;
                   12224:        fputs(line,stdout);
                   12225:        fputs(line,ficparo);
                   12226:        fputs(line,ficlog);
                   12227:        continue;
                   12228:       }else
                   12229:        break;
                   12230:     }
                   12231:     
1.209     brouard  12232:     /* while((c=getc(ficpar))=='#' && c!= EOF){ */
                   12233:     /*   ungetc(c,ficpar); */
                   12234:     /*   fgets(line, MAXLINE, ficpar); */
                   12235:     /*   fputs(line,stdout); */
                   12236:     /*   fputs(line,ficparo); */
                   12237:     /* } */
                   12238:     /* ungetc(c,ficpar); */
1.126     brouard  12239:     
                   12240:     estepm=0;
1.209     brouard  12241:     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  12242:       
                   12243:       if (num_filled != 6) {
                   12244:        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);
                   12245:        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);
                   12246:        goto end;
                   12247:       }
                   12248:       printf("agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",ageminpar,agemaxpar, bage, fage, estepm, ftolpl);
                   12249:     }
                   12250:     /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
                   12251:     /*ftolpl=6.e-4;*/ /* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
                   12252:     
1.209     brouard  12253:     /* fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm); */
1.126     brouard  12254:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   12255:     if (fage <= 2) {
                   12256:       bage = ageminpar;
                   12257:       fage = agemaxpar;
                   12258:     }
                   12259:     
                   12260:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
1.211     brouard  12261:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
                   12262:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d, ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
1.220     brouard  12263:                
1.186     brouard  12264:     /* Other stuffs, more or less useful */    
1.254     brouard  12265:     while(fgets(line, MAXLINE, ficpar)) {
                   12266:       /* If line starts with a # it is a comment */
                   12267:       if (line[0] == '#') {
                   12268:        numlinepar++;
                   12269:        fputs(line,stdout);
                   12270:        fputs(line,ficparo);
                   12271:        fputs(line,ficlog);
                   12272:        continue;
                   12273:       }else
                   12274:        break;
                   12275:     }
                   12276: 
                   12277:     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){
                   12278:       
                   12279:       if (num_filled != 7) {
                   12280:        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);
                   12281:        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);
                   12282:        goto end;
                   12283:       }
                   12284:       printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   12285:       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);
                   12286:       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);
                   12287:       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  12288:     }
1.254     brouard  12289: 
                   12290:     while(fgets(line, MAXLINE, ficpar)) {
                   12291:       /* If line starts with a # it is a comment */
                   12292:       if (line[0] == '#') {
                   12293:        numlinepar++;
                   12294:        fputs(line,stdout);
                   12295:        fputs(line,ficparo);
                   12296:        fputs(line,ficlog);
                   12297:        continue;
                   12298:       }else
                   12299:        break;
1.126     brouard  12300:     }
                   12301:     
                   12302:     
                   12303:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   12304:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   12305:     
1.254     brouard  12306:     if((num_filled=sscanf(line,"pop_based=%d\n",&popbased)) !=EOF){
                   12307:       if (num_filled != 1) {
                   12308:        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);
                   12309:        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);
                   12310:        goto end;
                   12311:       }
                   12312:       printf("pop_based=%d\n",popbased);
                   12313:       fprintf(ficlog,"pop_based=%d\n",popbased);
                   12314:       fprintf(ficparo,"pop_based=%d\n",popbased);   
                   12315:       fprintf(ficres,"pop_based=%d\n",popbased);   
                   12316:     }
                   12317:      
1.258     brouard  12318:     /* Results */
                   12319:     nresult=0;
                   12320:     do{
                   12321:       if(!fgets(line, MAXLINE, ficpar)){
                   12322:        endishere=1;
                   12323:        parameterline=14;
                   12324:       }else if (line[0] == '#') {
                   12325:        /* If line starts with a # it is a comment */
1.254     brouard  12326:        numlinepar++;
                   12327:        fputs(line,stdout);
                   12328:        fputs(line,ficparo);
                   12329:        fputs(line,ficlog);
                   12330:        continue;
1.258     brouard  12331:       }else if(sscanf(line,"prevforecast=%[^\n]\n",modeltemp))
                   12332:        parameterline=11;
1.296     brouard  12333:       else if(sscanf(line,"prevbackcast=%[^\n]\n",modeltemp))
1.258     brouard  12334:        parameterline=12;
                   12335:       else if(sscanf(line,"result:%[^\n]\n",modeltemp))
                   12336:        parameterline=13;
                   12337:       else{
                   12338:        parameterline=14;
1.254     brouard  12339:       }
1.258     brouard  12340:       switch (parameterline){ 
                   12341:       case 11:
1.296     brouard  12342:        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)){
                   12343:                  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  12344:          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);
                   12345:          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);
                   12346:          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);
                   12347:          /* day and month of proj2 are not used but only year anproj2.*/
1.273     brouard  12348:          dateproj1=anproj1+(mproj1-1)/12.+(jproj1-1)/365.;
                   12349:          dateproj2=anproj2+(mproj2-1)/12.+(jproj2-1)/365.;
1.296     brouard  12350:           prvforecast = 1;
                   12351:        } 
                   12352:        else if((num_filled=sscanf(line,"prevforecast=%d yearsfproj=%lf mobil_average=%d\n",&prevfcast,&yrfproj,&mobilavproj)) !=EOF){/* && (num_filled == 3))*/
                   12353:           printf(" Num_filled=%d, yearsfproj=%lf, mobil_average=%d\n",prevfcast,yrfproj,mobilavproj);
                   12354:           prvforecast = 2;
                   12355:        }
                   12356:        else {
                   12357:          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);
                   12358:          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);
                   12359:          goto end;
1.258     brouard  12360:        }
1.254     brouard  12361:        break;
1.258     brouard  12362:       case 12:
1.296     brouard  12363:        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)){
                   12364:           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);
                   12365:          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);
                   12366:          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);
                   12367:          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);
                   12368:          /* day and month of back2 are not used but only year anback2.*/
1.273     brouard  12369:          dateback1=anback1+(mback1-1)/12.+(jback1-1)/365.;
                   12370:          dateback2=anback2+(mback2-1)/12.+(jback2-1)/365.;
1.296     brouard  12371:           prvbackcast = 1;
                   12372:        } 
                   12373:        else if((num_filled=sscanf(line,"prevbackcast=%d yearsbproj=%lf mobil_average=%d\n",&prevbcast,&yrbproj,&mobilavproj)) ==3){/* && (num_filled == 3))*/
                   12374:           printf(" Num_filled=%d, yearsbproj=%lf, mobil_average=%d\n",prevbcast,yrbproj,mobilavproj);
                   12375:           prvbackcast = 2;
                   12376:        }
                   12377:        else {
                   12378:          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);
                   12379:          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);
                   12380:          goto end;
1.258     brouard  12381:        }
1.230     brouard  12382:        break;
1.296     brouard  12383:        /* /\*fscanf(ficpar,"backcast=%d starting-back-date=%lf/%lf/%lf final-back-date=%lf/%lf/%lf mobil_average=%d\n",&backcast,&jback1,&mback1,&anback1,&jback2,&mback2,&anback2,&mobilavproj);*\/ */
                   12384:        /* if((num_filled=sscanf(line,"backcast=%d starting-back-date=%lf/%lf/%lf final-back-date=%lf/%lf/%lf mobil_average=%d\n",&backcast,&jback1,&mback1,&anback1,&jback2,&mback2,&anback2,&mobilavproj)) !=EOF){ */
                   12385:        /*   if (num_filled != 8) { */
                   12386:        /*     printf("Error: Not 8 (data)parameters in line but %d, for example:backcast=1 starting-back-date=1/1/1990 final-back-date=1/1/1970 mobil_average=1\n, your line=%s . Probably you are running an older format.\n",num_filled,line); */
                   12387:        /*     fprintf(ficlog,"Error: Not 8 (data)parameters in line but %d, for example:backcast=1 starting-back-date=1/1/1990 final-back-date=1/1/1970 mobil_average=1\n, your line=%s . Probably you are running an older format.\n",num_filled,line); */
                   12388:        /*     goto end; */
                   12389:        /*   } */
                   12390:        /*   printf("backcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",backcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj); */
                   12391:        /*   fprintf(ficparo,"backcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",backcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj); */
                   12392:        /*   fprintf(ficlog,"backcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",backcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj); */
                   12393:        /*   fprintf(ficres,"backcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",backcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj); */
                   12394:        /*   /\* day and month of proj2 are not used but only year anproj2.*\/ */
                   12395:        /*   dateback1=anback1+(mback1-1)/12.+(jback1-1)/365.; */
                   12396:        /*   dateback2=anback2+(mback2-1)/12.+(jback2-1)/365.; */
                   12397:        /* } */
                   12398:        /* break; */
1.258     brouard  12399:       case 13:
                   12400:        if((num_filled=sscanf(line,"result:%[^\n]\n",resultline)) !=EOF){
                   12401:          if (num_filled == 0){
                   12402:            resultline[0]='\0';
                   12403:            printf("Warning %d: no result line! It should be at minimum 'result: V2=0 V1=1 or result:.\n%s\n", num_filled, line);
                   12404:            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);
                   12405:            break;
                   12406:          } else if (num_filled != 1){
                   12407:            printf("ERROR %d: result line! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",num_filled, line);
                   12408:            fprintf(ficlog,"ERROR %d: result line! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",num_filled, line);
                   12409:          }
                   12410:          nresult++; /* Sum of resultlines */
                   12411:          printf("Result %d: result=%s\n",nresult, resultline);
                   12412:          if(nresult > MAXRESULTLINES){
                   12413:            printf("ERROR: Current version of IMaCh limits the number of resultlines to %d, you used %d\n",MAXRESULTLINES,nresult);
                   12414:            fprintf(ficlog,"ERROR: Current version of IMaCh limits the number of resultlines to %d, you used %d\n",MAXRESULTLINES,nresult);
                   12415:            goto end;
                   12416:          }
                   12417:          decoderesult(resultline, nresult); /* Fills TKresult[nresult] combination and Tresult[nresult][k4+1] combination values */
                   12418:          fprintf(ficparo,"result: %s\n",resultline);
                   12419:          fprintf(ficres,"result: %s\n",resultline);
                   12420:          fprintf(ficlog,"result: %s\n",resultline);
1.230     brouard  12421:          break;
1.258     brouard  12422:        case 14: 
1.259     brouard  12423:          if(ncovmodel >2 && nresult==0 ){
                   12424:            printf("ERROR: no result lines! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",line);
1.258     brouard  12425:            goto end;
                   12426:          }
1.259     brouard  12427:          break;
1.258     brouard  12428:        default:
                   12429:          nresult=1;
                   12430:          decoderesult(".",nresult ); /* No covariate */
                   12431:        }
                   12432:       } /* End switch parameterline */
                   12433:     }while(endishere==0); /* End do */
1.126     brouard  12434:     
1.230     brouard  12435:     /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
1.145     brouard  12436:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  12437:     
                   12438:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  12439:     if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
1.230     brouard  12440:       printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  12441: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12442: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.230     brouard  12443:       fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  12444: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12445: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  12446:     }else{
1.270     brouard  12447:       /* printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, prevfcast, backcast, pathc,p, (int)anproj1-(int)agemin, (int)anback1-(int)agemax+1); */
1.296     brouard  12448:       /* It seems that anprojd which is computed from the mean year at interview which is known yet because of freqsummary */
                   12449:       /* date2dmy(dateintmean,&jintmean,&mintmean,&aintmean); */ /* Done in freqsummary */
                   12450:       if(prvforecast==1){
                   12451:         dateprojd=(jproj1+12*mproj1+365*anproj1)/365;
                   12452:         jprojd=jproj1;
                   12453:         mprojd=mproj1;
                   12454:         anprojd=anproj1;
                   12455:         dateprojf=(jproj2+12*mproj2+365*anproj2)/365;
                   12456:         jprojf=jproj2;
                   12457:         mprojf=mproj2;
                   12458:         anprojf=anproj2;
                   12459:       } else if(prvforecast == 2){
                   12460:         dateprojd=dateintmean;
                   12461:         date2dmy(dateprojd,&jprojd, &mprojd, &anprojd);
                   12462:         dateprojf=dateintmean+yrfproj;
                   12463:         date2dmy(dateprojf,&jprojf, &mprojf, &anprojf);
                   12464:       }
                   12465:       if(prvbackcast==1){
                   12466:         datebackd=(jback1+12*mback1+365*anback1)/365;
                   12467:         jbackd=jback1;
                   12468:         mbackd=mback1;
                   12469:         anbackd=anback1;
                   12470:         datebackf=(jback2+12*mback2+365*anback2)/365;
                   12471:         jbackf=jback2;
                   12472:         mbackf=mback2;
                   12473:         anbackf=anback2;
                   12474:       } else if(prvbackcast == 2){
                   12475:         datebackd=dateintmean;
                   12476:         date2dmy(datebackd,&jbackd, &mbackd, &anbackd);
                   12477:         datebackf=dateintmean-yrbproj;
                   12478:         date2dmy(datebackf,&jbackf, &mbackf, &anbackf);
                   12479:       }
                   12480:       
                   12481:       printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,bage, fage, prevfcast, prevbcast, pathc,p, (int)anprojd-bage, (int)anbackd-fage);
1.220     brouard  12482:     }
                   12483:     printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt, \
1.296     brouard  12484:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,mobilav,prevfcast,mobilavproj,prevbcast, estepm, \
                   12485:                 jprev1,mprev1,anprev1,dateprev1, dateprojd, datebackd,jprev2,mprev2,anprev2,dateprev2,dateprojf, datebackf);
1.220     brouard  12486:                
1.225     brouard  12487:     /*------------ free_vector  -------------*/
                   12488:     /*  chdir(path); */
1.220     brouard  12489:                
1.215     brouard  12490:     /* free_ivector(wav,1,imx); */  /* Moved after last prevalence call */
                   12491:     /* free_imatrix(dh,1,lastpass-firstpass+2,1,imx); */
                   12492:     /* free_imatrix(bh,1,lastpass-firstpass+2,1,imx); */
                   12493:     /* free_imatrix(mw,1,lastpass-firstpass+2,1,imx);    */
1.290     brouard  12494:     free_lvector(num,firstobs,lastobs);
                   12495:     free_vector(agedc,firstobs,lastobs);
1.126     brouard  12496:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   12497:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   12498:     fclose(ficparo);
                   12499:     fclose(ficres);
1.220     brouard  12500:                
                   12501:                
1.186     brouard  12502:     /* Other results (useful)*/
1.220     brouard  12503:                
                   12504:                
1.126     brouard  12505:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  12506:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   12507:     prlim=matrix(1,nlstate,1,nlstate);
1.209     brouard  12508:     prevalence_limit(p, prlim,  ageminpar, agemaxpar, ftolpl, &ncvyear);
1.126     brouard  12509:     fclose(ficrespl);
                   12510: 
                   12511:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  12512:     /*#include "hpijx.h"*/
                   12513:     hPijx(p, bage, fage);
1.145     brouard  12514:     fclose(ficrespij);
1.227     brouard  12515:     
1.220     brouard  12516:     /* ncovcombmax=  pow(2,cptcoveff); */
1.219     brouard  12517:     /*-------------- Variance of one-step probabilities---*/
1.145     brouard  12518:     k=1;
1.126     brouard  12519:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
1.227     brouard  12520:     
1.269     brouard  12521:     /* Prevalence for each covariate combination in probs[age][status][cov] */
                   12522:     probs= ma3x(AGEINF,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
                   12523:     for(i=AGEINF;i<=AGESUP;i++)
1.219     brouard  12524:       for(j=1;j<=nlstate+ndeath;j++) /* ndeath is useless but a necessity to be compared with mobaverages */
1.225     brouard  12525:        for(k=1;k<=ncovcombmax;k++)
                   12526:          probs[i][j][k]=0.;
1.269     brouard  12527:     prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, 
                   12528:               ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
1.219     brouard  12529:     if (mobilav!=0 ||mobilavproj !=0 ) {
1.269     brouard  12530:       mobaverages= ma3x(AGEINF, AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
                   12531:       for(i=AGEINF;i<=AGESUP;i++)
1.268     brouard  12532:        for(j=1;j<=nlstate+ndeath;j++)
1.227     brouard  12533:          for(k=1;k<=ncovcombmax;k++)
                   12534:            mobaverages[i][j][k]=0.;
1.219     brouard  12535:       mobaverage=mobaverages;
                   12536:       if (mobilav!=0) {
1.235     brouard  12537:        printf("Movingaveraging observed prevalence\n");
1.258     brouard  12538:        fprintf(ficlog,"Movingaveraging observed prevalence\n");
1.227     brouard  12539:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilav)!=0){
                   12540:          fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   12541:          printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   12542:        }
1.269     brouard  12543:       } else if (mobilavproj !=0) {
1.235     brouard  12544:        printf("Movingaveraging projected observed prevalence\n");
1.258     brouard  12545:        fprintf(ficlog,"Movingaveraging projected observed prevalence\n");
1.227     brouard  12546:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilavproj)!=0){
                   12547:          fprintf(ficlog," Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   12548:          printf(" Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   12549:        }
1.269     brouard  12550:       }else{
                   12551:        printf("Internal error moving average\n");
                   12552:        fflush(stdout);
                   12553:        exit(1);
1.219     brouard  12554:       }
                   12555:     }/* end if moving average */
1.227     brouard  12556:     
1.126     brouard  12557:     /*---------- Forecasting ------------------*/
1.296     brouard  12558:     if(prevfcast==1){ 
                   12559:       /*   /\*    if(stepm ==1){*\/ */
                   12560:       /*   /\*  anproj1, mproj1, jproj1 either read explicitly or yrfproj *\/ */
                   12561:       /*This done previously after freqsummary.*/
                   12562:       /*   dateprojd=(jproj1+12*mproj1+365*anproj1)/365; */
                   12563:       /*   dateprojf=(jproj2+12*mproj2+365*anproj2)/365; */
                   12564:       
                   12565:       /* } else if (prvforecast==2){ */
                   12566:       /*   /\*    if(stepm ==1){*\/ */
                   12567:       /*   /\*  anproj1, mproj1, jproj1 either read explicitly or yrfproj *\/ */
                   12568:       /* } */
                   12569:       /*prevforecast(fileresu, dateintmean, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, mobaverage, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);*/
                   12570:       prevforecast(fileresu,dateintmean, dateprojd, dateprojf, agemin, agemax, dateprev1, dateprev2, mobilavproj, mobaverage, bage, fage, firstpass, lastpass, p, cptcoveff);
1.126     brouard  12571:     }
1.269     brouard  12572: 
1.296     brouard  12573:     /* Prevbcasting */
                   12574:     if(prevbcast==1){
1.219     brouard  12575:       ddnewms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   12576:       ddoldms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   12577:       ddsavms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);
                   12578: 
                   12579:       /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
                   12580: 
                   12581:       bprlim=matrix(1,nlstate,1,nlstate);
1.269     brouard  12582: 
1.219     brouard  12583:       back_prevalence_limit(p, bprlim,  ageminpar, agemaxpar, ftolpl, &ncvyear, dateprev1, dateprev2, firstpass, lastpass, mobilavproj);
                   12584:       fclose(ficresplb);
                   12585: 
1.222     brouard  12586:       hBijx(p, bage, fage, mobaverage);
                   12587:       fclose(ficrespijb);
1.219     brouard  12588: 
1.296     brouard  12589:       /* /\* prevbackforecast(fileresu, mobaverage, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, *\/ */
                   12590:       /* /\*                  mobilavproj, bage, fage, firstpass, lastpass, anback2, p, cptcoveff); *\/ */
                   12591:       /* prevbackforecast(fileresu, mobaverage, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, */
                   12592:       /*                      mobilavproj, bage, fage, firstpass, lastpass, anback2, p, cptcoveff); */
                   12593:       prevbackforecast(fileresu, mobaverage, dateintmean, dateprojd, dateprojf, agemin, agemax, dateprev1, dateprev2,
                   12594:                       mobilavproj, bage, fage, firstpass, lastpass, p, cptcoveff);
                   12595: 
                   12596:       
1.269     brouard  12597:       varbprlim(fileresu, nresult, mobaverage, mobilavproj, bage, fage, bprlim, &ncvyear, ftolpl, p, matcov, delti, stepm, cptcoveff);
1.268     brouard  12598: 
                   12599:       
1.269     brouard  12600:       free_matrix(bprlim,1,nlstate,1,nlstate); /*here or after loop ? */
1.219     brouard  12601:       free_matrix(ddnewms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   12602:       free_matrix(ddsavms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   12603:       free_matrix(ddoldms, 1, nlstate+ndeath, 1, nlstate+ndeath);
1.296     brouard  12604:     }    /* end  Prevbcasting */
1.268     brouard  12605:  
1.186     brouard  12606:  
                   12607:     /* ------ Other prevalence ratios------------ */
1.126     brouard  12608: 
1.215     brouard  12609:     free_ivector(wav,1,imx);
                   12610:     free_imatrix(dh,1,lastpass-firstpass+2,1,imx);
                   12611:     free_imatrix(bh,1,lastpass-firstpass+2,1,imx);
                   12612:     free_imatrix(mw,1,lastpass-firstpass+2,1,imx);   
1.218     brouard  12613:                
                   12614:                
1.127     brouard  12615:     /*---------- Health expectancies, no variances ------------*/
1.218     brouard  12616:                
1.201     brouard  12617:     strcpy(filerese,"E_");
                   12618:     strcat(filerese,fileresu);
1.126     brouard  12619:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   12620:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   12621:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   12622:     }
1.208     brouard  12623:     printf("Computing Health Expectancies: result on file '%s' ...", filerese);fflush(stdout);
                   12624:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' ...", filerese);fflush(ficlog);
1.238     brouard  12625: 
                   12626:     pstamp(ficreseij);
1.219     brouard  12627:                
1.235     brouard  12628:     i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
                   12629:     if (cptcovn < 1){i1=1;}
                   12630:     
                   12631:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   12632:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  12633:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  12634:        continue;
1.219     brouard  12635:       fprintf(ficreseij,"\n#****** ");
1.235     brouard  12636:       printf("\n#****** ");
1.225     brouard  12637:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  12638:        fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  12639:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12640:       }
                   12641:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12642:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12643:        fprintf(ficreseij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
1.219     brouard  12644:       }
                   12645:       fprintf(ficreseij,"******\n");
1.235     brouard  12646:       printf("******\n");
1.219     brouard  12647:       
                   12648:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   12649:       oldm=oldms;savm=savms;
1.235     brouard  12650:       evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart, nres);  
1.127     brouard  12651:       
1.219     brouard  12652:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.127     brouard  12653:     }
                   12654:     fclose(ficreseij);
1.208     brouard  12655:     printf("done evsij\n");fflush(stdout);
                   12656:     fprintf(ficlog,"done evsij\n");fflush(ficlog);
1.269     brouard  12657: 
1.218     brouard  12658:                
1.227     brouard  12659:     /*---------- State-specific expectancies and variances ------------*/
1.218     brouard  12660:                
1.201     brouard  12661:     strcpy(filerest,"T_");
                   12662:     strcat(filerest,fileresu);
1.127     brouard  12663:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   12664:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   12665:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   12666:     }
1.208     brouard  12667:     printf("Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(stdout);
                   12668:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(ficlog);
1.201     brouard  12669:     strcpy(fileresstde,"STDE_");
                   12670:     strcat(fileresstde,fileresu);
1.126     brouard  12671:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
1.227     brouard  12672:       printf("Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   12673:       fprintf(ficlog,"Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
1.126     brouard  12674:     }
1.227     brouard  12675:     printf("  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   12676:     fprintf(ficlog,"  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
1.126     brouard  12677: 
1.201     brouard  12678:     strcpy(filerescve,"CVE_");
                   12679:     strcat(filerescve,fileresu);
1.126     brouard  12680:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
1.227     brouard  12681:       printf("Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
                   12682:       fprintf(ficlog,"Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
1.126     brouard  12683:     }
1.227     brouard  12684:     printf("    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
                   12685:     fprintf(ficlog,"    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
1.126     brouard  12686: 
1.201     brouard  12687:     strcpy(fileresv,"V_");
                   12688:     strcat(fileresv,fileresu);
1.126     brouard  12689:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   12690:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   12691:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   12692:     }
1.227     brouard  12693:     printf("      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(stdout);
                   12694:     fprintf(ficlog,"      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(ficlog);
1.126     brouard  12695: 
1.235     brouard  12696:     i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
                   12697:     if (cptcovn < 1){i1=1;}
                   12698:     
                   12699:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   12700:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  12701:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  12702:        continue;
1.242     brouard  12703:       printf("\n#****** Result for:");
                   12704:       fprintf(ficrest,"\n#****** Result for:");
                   12705:       fprintf(ficlog,"\n#****** Result for:");
1.227     brouard  12706:       for(j=1;j<=cptcoveff;j++){ 
                   12707:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12708:        fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12709:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12710:       }
1.235     brouard  12711:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12712:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12713:        fprintf(ficrest," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12714:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12715:       }        
1.208     brouard  12716:       fprintf(ficrest,"******\n");
1.227     brouard  12717:       fprintf(ficlog,"******\n");
                   12718:       printf("******\n");
1.208     brouard  12719:       
                   12720:       fprintf(ficresstdeij,"\n#****** ");
                   12721:       fprintf(ficrescveij,"\n#****** ");
1.225     brouard  12722:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  12723:        fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12724:        fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  12725:       }
1.235     brouard  12726:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12727:        fprintf(ficresstdeij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12728:        fprintf(ficrescveij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12729:       }        
1.208     brouard  12730:       fprintf(ficresstdeij,"******\n");
                   12731:       fprintf(ficrescveij,"******\n");
                   12732:       
                   12733:       fprintf(ficresvij,"\n#****** ");
1.238     brouard  12734:       /* pstamp(ficresvij); */
1.225     brouard  12735:       for(j=1;j<=cptcoveff;j++) 
1.227     brouard  12736:        fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  12737:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12738:        fprintf(ficresvij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12739:       }        
1.208     brouard  12740:       fprintf(ficresvij,"******\n");
                   12741:       
                   12742:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   12743:       oldm=oldms;savm=savms;
1.235     brouard  12744:       printf(" cvevsij ");
                   12745:       fprintf(ficlog, " cvevsij ");
                   12746:       cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart, nres);
1.208     brouard  12747:       printf(" end cvevsij \n ");
                   12748:       fprintf(ficlog, " end cvevsij \n ");
                   12749:       
                   12750:       /*
                   12751:        */
                   12752:       /* goto endfree; */
                   12753:       
                   12754:       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   12755:       pstamp(ficrest);
                   12756:       
1.269     brouard  12757:       epj=vector(1,nlstate+1);
1.208     brouard  12758:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.227     brouard  12759:        oldm=oldms;savm=savms; /* ZZ Segmentation fault */
                   12760:        cptcod= 0; /* To be deleted */
                   12761:        printf("varevsij vpopbased=%d \n",vpopbased);
                   12762:        fprintf(ficlog, "varevsij vpopbased=%d \n",vpopbased);
1.235     brouard  12763:        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  12764:        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 ");
                   12765:        if(vpopbased==1)
                   12766:          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);
                   12767:        else
1.288     brouard  12768:          fprintf(ficrest,"the age specific forward period (stable) prevalences in each health state \n");
1.227     brouard  12769:        fprintf(ficrest,"# Age popbased mobilav e.. (std) ");
                   12770:        for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
                   12771:        fprintf(ficrest,"\n");
                   12772:        /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
1.288     brouard  12773:        printf("Computing age specific forward period (stable) prevalences in each health state \n");
                   12774:        fprintf(ficlog,"Computing age specific forward period (stable) prevalences in each health state \n");
1.227     brouard  12775:        for(age=bage; age <=fage ;age++){
1.235     brouard  12776:          prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, &ncvyear, k, nres); /*ZZ Is it the correct prevalim */
1.227     brouard  12777:          if (vpopbased==1) {
                   12778:            if(mobilav ==0){
                   12779:              for(i=1; i<=nlstate;i++)
                   12780:                prlim[i][i]=probs[(int)age][i][k];
                   12781:            }else{ /* mobilav */ 
                   12782:              for(i=1; i<=nlstate;i++)
                   12783:                prlim[i][i]=mobaverage[(int)age][i][k];
                   12784:            }
                   12785:          }
1.219     brouard  12786:          
1.227     brouard  12787:          fprintf(ficrest," %4.0f %d %d",age, vpopbased, mobilav);
                   12788:          /* fprintf(ficrest," %4.0f %d %d %d %d",age, vpopbased, mobilav,Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */ /* to be done */
                   12789:          /* printf(" age %4.0f ",age); */
                   12790:          for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                   12791:            for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   12792:              epj[j] += prlim[i][i]*eij[i][j][(int)age];
                   12793:              /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   12794:              /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
                   12795:            }
                   12796:            epj[nlstate+1] +=epj[j];
                   12797:          }
                   12798:          /* printf(" age %4.0f \n",age); */
1.219     brouard  12799:          
1.227     brouard  12800:          for(i=1, vepp=0.;i <=nlstate;i++)
                   12801:            for(j=1;j <=nlstate;j++)
                   12802:              vepp += vareij[i][j][(int)age];
                   12803:          fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
                   12804:          for(j=1;j <=nlstate;j++){
                   12805:            fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
                   12806:          }
                   12807:          fprintf(ficrest,"\n");
                   12808:        }
1.208     brouard  12809:       } /* End vpopbased */
1.269     brouard  12810:       free_vector(epj,1,nlstate+1);
1.208     brouard  12811:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   12812:       free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.235     brouard  12813:       printf("done selection\n");fflush(stdout);
                   12814:       fprintf(ficlog,"done selection\n");fflush(ficlog);
1.208     brouard  12815:       
1.235     brouard  12816:     } /* End k selection */
1.227     brouard  12817: 
                   12818:     printf("done State-specific expectancies\n");fflush(stdout);
                   12819:     fprintf(ficlog,"done State-specific expectancies\n");fflush(ficlog);
                   12820: 
1.288     brouard  12821:     /* variance-covariance of forward period prevalence*/
1.269     brouard  12822:     varprlim(fileresu, nresult, mobaverage, mobilavproj, bage, fage, prlim, &ncvyear, ftolpl, p, matcov, delti, stepm, cptcoveff);
1.268     brouard  12823: 
1.227     brouard  12824:     
1.290     brouard  12825:     free_vector(weight,firstobs,lastobs);
1.227     brouard  12826:     free_imatrix(Tvard,1,NCOVMAX,1,2);
1.290     brouard  12827:     free_imatrix(s,1,maxwav+1,firstobs,lastobs);
                   12828:     free_matrix(anint,1,maxwav,firstobs,lastobs); 
                   12829:     free_matrix(mint,1,maxwav,firstobs,lastobs);
                   12830:     free_ivector(cod,firstobs,lastobs);
1.227     brouard  12831:     free_ivector(tab,1,NCOVMAX);
                   12832:     fclose(ficresstdeij);
                   12833:     fclose(ficrescveij);
                   12834:     fclose(ficresvij);
                   12835:     fclose(ficrest);
                   12836:     fclose(ficpar);
                   12837:     
                   12838:     
1.126     brouard  12839:     /*---------- End : free ----------------*/
1.219     brouard  12840:     if (mobilav!=0 ||mobilavproj !=0)
1.269     brouard  12841:       free_ma3x(mobaverages,AGEINF, AGESUP,1,nlstate+ndeath, 1,ncovcombmax); /* We need to have a squared matrix with prevalence of the dead! */
                   12842:     free_ma3x(probs,AGEINF,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.220     brouard  12843:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
                   12844:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
1.126     brouard  12845:   }  /* mle==-3 arrives here for freeing */
1.227     brouard  12846:   /* endfree:*/
                   12847:   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   12848:   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   12849:   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
1.290     brouard  12850:   if(ntv+nqtv>=1)free_ma3x(cotvar,1,maxwav,1,ntv+nqtv,firstobs,lastobs);
                   12851:   if(nqtv>=1)free_ma3x(cotqvar,1,maxwav,1,nqtv,firstobs,lastobs);
                   12852:   if(nqv>=1)free_matrix(coqvar,1,nqv,firstobs,lastobs);
                   12853:   free_matrix(covar,0,NCOVMAX,firstobs,lastobs);
1.227     brouard  12854:   free_matrix(matcov,1,npar,1,npar);
                   12855:   free_matrix(hess,1,npar,1,npar);
                   12856:   /*free_vector(delti,1,npar);*/
                   12857:   free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   12858:   free_matrix(agev,1,maxwav,1,imx);
1.269     brouard  12859:   free_ma3x(paramstart,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
1.227     brouard  12860:   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   12861:   
                   12862:   free_ivector(ncodemax,1,NCOVMAX);
                   12863:   free_ivector(ncodemaxwundef,1,NCOVMAX);
                   12864:   free_ivector(Dummy,-1,NCOVMAX);
                   12865:   free_ivector(Fixed,-1,NCOVMAX);
1.238     brouard  12866:   free_ivector(DummyV,1,NCOVMAX);
                   12867:   free_ivector(FixedV,1,NCOVMAX);
1.227     brouard  12868:   free_ivector(Typevar,-1,NCOVMAX);
                   12869:   free_ivector(Tvar,1,NCOVMAX);
1.234     brouard  12870:   free_ivector(TvarsQ,1,NCOVMAX);
                   12871:   free_ivector(TvarsQind,1,NCOVMAX);
                   12872:   free_ivector(TvarsD,1,NCOVMAX);
                   12873:   free_ivector(TvarsDind,1,NCOVMAX);
1.231     brouard  12874:   free_ivector(TvarFD,1,NCOVMAX);
                   12875:   free_ivector(TvarFDind,1,NCOVMAX);
1.232     brouard  12876:   free_ivector(TvarF,1,NCOVMAX);
                   12877:   free_ivector(TvarFind,1,NCOVMAX);
                   12878:   free_ivector(TvarV,1,NCOVMAX);
                   12879:   free_ivector(TvarVind,1,NCOVMAX);
                   12880:   free_ivector(TvarA,1,NCOVMAX);
                   12881:   free_ivector(TvarAind,1,NCOVMAX);
1.231     brouard  12882:   free_ivector(TvarFQ,1,NCOVMAX);
                   12883:   free_ivector(TvarFQind,1,NCOVMAX);
                   12884:   free_ivector(TvarVD,1,NCOVMAX);
                   12885:   free_ivector(TvarVDind,1,NCOVMAX);
                   12886:   free_ivector(TvarVQ,1,NCOVMAX);
                   12887:   free_ivector(TvarVQind,1,NCOVMAX);
1.230     brouard  12888:   free_ivector(Tvarsel,1,NCOVMAX);
                   12889:   free_vector(Tvalsel,1,NCOVMAX);
1.227     brouard  12890:   free_ivector(Tposprod,1,NCOVMAX);
                   12891:   free_ivector(Tprod,1,NCOVMAX);
                   12892:   free_ivector(Tvaraff,1,NCOVMAX);
                   12893:   free_ivector(invalidvarcomb,1,ncovcombmax);
                   12894:   free_ivector(Tage,1,NCOVMAX);
                   12895:   free_ivector(Tmodelind,1,NCOVMAX);
1.228     brouard  12896:   free_ivector(TmodelInvind,1,NCOVMAX);
                   12897:   free_ivector(TmodelInvQind,1,NCOVMAX);
1.227     brouard  12898:   
                   12899:   free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
                   12900:   /* free_imatrix(codtab,1,100,1,10); */
1.126     brouard  12901:   fflush(fichtm);
                   12902:   fflush(ficgp);
                   12903:   
1.227     brouard  12904:   
1.126     brouard  12905:   if((nberr >0) || (nbwarn>0)){
1.216     brouard  12906:     printf("End of Imach with %d errors and/or %d warnings. Please look at the log file for details.\n",nberr,nbwarn);
                   12907:     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  12908:   }else{
                   12909:     printf("End of Imach\n");
                   12910:     fprintf(ficlog,"End of Imach\n");
                   12911:   }
                   12912:   printf("See log file on %s\n",filelog);
                   12913:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  12914:   /*(void) gettimeofday(&end_time,&tzp);*/
                   12915:   rend_time = time(NULL);  
                   12916:   end_time = *localtime(&rend_time);
                   12917:   /* tml = *localtime(&end_time.tm_sec); */
                   12918:   strcpy(strtend,asctime(&end_time));
1.126     brouard  12919:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   12920:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  12921:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.227     brouard  12922:   
1.157     brouard  12923:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   12924:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   12925:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  12926:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   12927: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   12928:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   12929:   fclose(fichtm);
                   12930:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   12931:   fclose(fichtmcov);
                   12932:   fclose(ficgp);
                   12933:   fclose(ficlog);
                   12934:   /*------ End -----------*/
1.227     brouard  12935:   
1.281     brouard  12936: 
                   12937: /* Executes gnuplot */
1.227     brouard  12938:   
                   12939:   printf("Before Current directory %s!\n",pathcd);
1.184     brouard  12940: #ifdef WIN32
1.227     brouard  12941:   if (_chdir(pathcd) != 0)
                   12942:     printf("Can't move to directory %s!\n",path);
                   12943:   if(_getcwd(pathcd,MAXLINE) > 0)
1.184     brouard  12944: #else
1.227     brouard  12945:     if(chdir(pathcd) != 0)
                   12946:       printf("Can't move to directory %s!\n", path);
                   12947:   if (getcwd(pathcd, MAXLINE) > 0)
1.184     brouard  12948: #endif 
1.126     brouard  12949:     printf("Current directory %s!\n",pathcd);
                   12950:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   12951:   sprintf(plotcmd,"gnuplot");
1.157     brouard  12952: #ifdef _WIN32
1.126     brouard  12953:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   12954: #endif
                   12955:   if(!stat(plotcmd,&info)){
1.158     brouard  12956:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  12957:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  12958:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  12959:     }else
                   12960:       strcpy(pplotcmd,plotcmd);
1.157     brouard  12961: #ifdef __unix
1.126     brouard  12962:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   12963:     if(!stat(plotcmd,&info)){
1.158     brouard  12964:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  12965:     }else
                   12966:       strcpy(pplotcmd,plotcmd);
                   12967: #endif
                   12968:   }else
                   12969:     strcpy(pplotcmd,plotcmd);
                   12970:   
                   12971:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  12972:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.292     brouard  12973:   strcpy(pplotcmd,plotcmd);
1.227     brouard  12974:   
1.126     brouard  12975:   if((outcmd=system(plotcmd)) != 0){
1.292     brouard  12976:     printf("Error in gnuplot, command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  12977:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  12978:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.292     brouard  12979:     if((outcmd=system(plotcmd)) != 0){
1.153     brouard  12980:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.292     brouard  12981:       strcpy(plotcmd,pplotcmd);
                   12982:     }
1.126     brouard  12983:   }
1.158     brouard  12984:   printf(" Successful, please wait...");
1.126     brouard  12985:   while (z[0] != 'q') {
                   12986:     /* chdir(path); */
1.154     brouard  12987:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  12988:     scanf("%s",z);
                   12989: /*     if (z[0] == 'c') system("./imach"); */
                   12990:     if (z[0] == 'e') {
1.158     brouard  12991: #ifdef __APPLE__
1.152     brouard  12992:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  12993: #elif __linux
                   12994:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  12995: #else
1.152     brouard  12996:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  12997: #endif
                   12998:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   12999:       system(pplotcmd);
1.126     brouard  13000:     }
                   13001:     else if (z[0] == 'g') system(plotcmd);
                   13002:     else if (z[0] == 'q') exit(0);
                   13003:   }
1.227     brouard  13004: end:
1.126     brouard  13005:   while (z[0] != 'q') {
1.195     brouard  13006:     printf("\nType  q for exiting: "); fflush(stdout);
1.126     brouard  13007:     scanf("%s",z);
                   13008:   }
1.283     brouard  13009:   printf("End\n");
1.282     brouard  13010:   exit(0);
1.126     brouard  13011: }

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