Annotation of imach/src/imach.c, revision 1.296

1.296   ! brouard     1: /* $Id: imach.c,v 1.295 2019/05/18 09:52:50 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.296   ! brouard     4:   Revision 1.295  2019/05/18 09:52:50  brouard
        !             5:   Summary: doxygen tex bug
        !             6: 
1.295     brouard     7:   Revision 1.294  2019/05/16 14:54:33  brouard
                      8:   Summary: There was some wrong lines added
                      9: 
1.294     brouard    10:   Revision 1.293  2019/05/09 15:17:34  brouard
                     11:   *** empty log message ***
                     12: 
1.293     brouard    13:   Revision 1.292  2019/05/09 14:17:20  brouard
                     14:   Summary: Some updates
                     15: 
1.292     brouard    16:   Revision 1.291  2019/05/09 13:44:18  brouard
                     17:   Summary: Before ncovmax
                     18: 
1.291     brouard    19:   Revision 1.290  2019/05/09 13:39:37  brouard
                     20:   Summary: 0.99r18 unlimited number of individuals
                     21: 
                     22:   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.
                     23: 
1.290     brouard    24:   Revision 1.289  2018/12/13 09:16:26  brouard
                     25:   Summary: Bug for young ages (<-30) will be in r17
                     26: 
1.289     brouard    27:   Revision 1.288  2018/05/02 20:58:27  brouard
                     28:   Summary: Some bugs fixed
                     29: 
1.288     brouard    30:   Revision 1.287  2018/05/01 17:57:25  brouard
                     31:   Summary: Bug fixed by providing frequencies only for non missing covariates
                     32: 
1.287     brouard    33:   Revision 1.286  2018/04/27 14:27:04  brouard
                     34:   Summary: some minor bugs
                     35: 
1.286     brouard    36:   Revision 1.285  2018/04/21 21:02:16  brouard
                     37:   Summary: Some bugs fixed, valgrind tested
                     38: 
1.285     brouard    39:   Revision 1.284  2018/04/20 05:22:13  brouard
                     40:   Summary: Computing mean and stdeviation of fixed quantitative variables
                     41: 
1.284     brouard    42:   Revision 1.283  2018/04/19 14:49:16  brouard
                     43:   Summary: Some minor bugs fixed
                     44: 
1.283     brouard    45:   Revision 1.282  2018/02/27 22:50:02  brouard
                     46:   *** empty log message ***
                     47: 
1.282     brouard    48:   Revision 1.281  2018/02/27 19:25:23  brouard
                     49:   Summary: Adding second argument for quitting
                     50: 
1.281     brouard    51:   Revision 1.280  2018/02/21 07:58:13  brouard
                     52:   Summary: 0.99r15
                     53: 
                     54:   New Makefile with recent VirtualBox 5.26. Bug in sqrt negatve in imach.c
                     55: 
1.280     brouard    56:   Revision 1.279  2017/07/20 13:35:01  brouard
                     57:   Summary: temporary working
                     58: 
1.279     brouard    59:   Revision 1.278  2017/07/19 14:09:02  brouard
                     60:   Summary: Bug for mobil_average=0 and prevforecast fixed(?)
                     61: 
1.278     brouard    62:   Revision 1.277  2017/07/17 08:53:49  brouard
                     63:   Summary: BOM files can be read now
                     64: 
1.277     brouard    65:   Revision 1.276  2017/06/30 15:48:31  brouard
                     66:   Summary: Graphs improvements
                     67: 
1.276     brouard    68:   Revision 1.275  2017/06/30 13:39:33  brouard
                     69:   Summary: Saito's color
                     70: 
1.275     brouard    71:   Revision 1.274  2017/06/29 09:47:08  brouard
                     72:   Summary: Version 0.99r14
                     73: 
1.274     brouard    74:   Revision 1.273  2017/06/27 11:06:02  brouard
                     75:   Summary: More documentation on projections
                     76: 
1.273     brouard    77:   Revision 1.272  2017/06/27 10:22:40  brouard
                     78:   Summary: Color of backprojection changed from 6 to 5(yellow)
                     79: 
1.272     brouard    80:   Revision 1.271  2017/06/27 10:17:50  brouard
                     81:   Summary: Some bug with rint
                     82: 
1.271     brouard    83:   Revision 1.270  2017/05/24 05:45:29  brouard
                     84:   *** empty log message ***
                     85: 
1.270     brouard    86:   Revision 1.269  2017/05/23 08:39:25  brouard
                     87:   Summary: Code into subroutine, cleanings
                     88: 
1.269     brouard    89:   Revision 1.268  2017/05/18 20:09:32  brouard
                     90:   Summary: backprojection and confidence intervals of backprevalence
                     91: 
1.268     brouard    92:   Revision 1.267  2017/05/13 10:25:05  brouard
                     93:   Summary: temporary save for backprojection
                     94: 
1.267     brouard    95:   Revision 1.266  2017/05/13 07:26:12  brouard
                     96:   Summary: Version 0.99r13 (improvements and bugs fixed)
                     97: 
1.266     brouard    98:   Revision 1.265  2017/04/26 16:22:11  brouard
                     99:   Summary: imach 0.99r13 Some bugs fixed
                    100: 
1.265     brouard   101:   Revision 1.264  2017/04/26 06:01:29  brouard
                    102:   Summary: Labels in graphs
                    103: 
1.264     brouard   104:   Revision 1.263  2017/04/24 15:23:15  brouard
                    105:   Summary: to save
                    106: 
1.263     brouard   107:   Revision 1.262  2017/04/18 16:48:12  brouard
                    108:   *** empty log message ***
                    109: 
1.262     brouard   110:   Revision 1.261  2017/04/05 10:14:09  brouard
                    111:   Summary: Bug in E_ as well as in T_ fixed nres-1 vs k1-1
                    112: 
1.261     brouard   113:   Revision 1.260  2017/04/04 17:46:59  brouard
                    114:   Summary: Gnuplot indexations fixed (humm)
                    115: 
1.260     brouard   116:   Revision 1.259  2017/04/04 13:01:16  brouard
                    117:   Summary: Some errors to warnings only if date of death is unknown but status is death we could set to pi3
                    118: 
1.259     brouard   119:   Revision 1.258  2017/04/03 10:17:47  brouard
                    120:   Summary: Version 0.99r12
                    121: 
                    122:   Some cleanings, conformed with updated documentation.
                    123: 
1.258     brouard   124:   Revision 1.257  2017/03/29 16:53:30  brouard
                    125:   Summary: Temp
                    126: 
1.257     brouard   127:   Revision 1.256  2017/03/27 05:50:23  brouard
                    128:   Summary: Temporary
                    129: 
1.256     brouard   130:   Revision 1.255  2017/03/08 16:02:28  brouard
                    131:   Summary: IMaCh version 0.99r10 bugs in gnuplot fixed
                    132: 
1.255     brouard   133:   Revision 1.254  2017/03/08 07:13:00  brouard
                    134:   Summary: Fixing data parameter line
                    135: 
1.254     brouard   136:   Revision 1.253  2016/12/15 11:59:41  brouard
                    137:   Summary: 0.99 in progress
                    138: 
1.253     brouard   139:   Revision 1.252  2016/09/15 21:15:37  brouard
                    140:   *** empty log message ***
                    141: 
1.252     brouard   142:   Revision 1.251  2016/09/15 15:01:13  brouard
                    143:   Summary: not working
                    144: 
1.251     brouard   145:   Revision 1.250  2016/09/08 16:07:27  brouard
                    146:   Summary: continue
                    147: 
1.250     brouard   148:   Revision 1.249  2016/09/07 17:14:18  brouard
                    149:   Summary: Starting values from frequencies
                    150: 
1.249     brouard   151:   Revision 1.248  2016/09/07 14:10:18  brouard
                    152:   *** empty log message ***
                    153: 
1.248     brouard   154:   Revision 1.247  2016/09/02 11:11:21  brouard
                    155:   *** empty log message ***
                    156: 
1.247     brouard   157:   Revision 1.246  2016/09/02 08:49:22  brouard
                    158:   *** empty log message ***
                    159: 
1.246     brouard   160:   Revision 1.245  2016/09/02 07:25:01  brouard
                    161:   *** empty log message ***
                    162: 
1.245     brouard   163:   Revision 1.244  2016/09/02 07:17:34  brouard
                    164:   *** empty log message ***
                    165: 
1.244     brouard   166:   Revision 1.243  2016/09/02 06:45:35  brouard
                    167:   *** empty log message ***
                    168: 
1.243     brouard   169:   Revision 1.242  2016/08/30 15:01:20  brouard
                    170:   Summary: Fixing a lots
                    171: 
1.242     brouard   172:   Revision 1.241  2016/08/29 17:17:25  brouard
                    173:   Summary: gnuplot problem in Back projection to fix
                    174: 
1.241     brouard   175:   Revision 1.240  2016/08/29 07:53:18  brouard
                    176:   Summary: Better
                    177: 
1.240     brouard   178:   Revision 1.239  2016/08/26 15:51:03  brouard
                    179:   Summary: Improvement in Powell output in order to copy and paste
                    180: 
                    181:   Author:
                    182: 
1.239     brouard   183:   Revision 1.238  2016/08/26 14:23:35  brouard
                    184:   Summary: Starting tests of 0.99
                    185: 
1.238     brouard   186:   Revision 1.237  2016/08/26 09:20:19  brouard
                    187:   Summary: to valgrind
                    188: 
1.237     brouard   189:   Revision 1.236  2016/08/25 10:50:18  brouard
                    190:   *** empty log message ***
                    191: 
1.236     brouard   192:   Revision 1.235  2016/08/25 06:59:23  brouard
                    193:   *** empty log message ***
                    194: 
1.235     brouard   195:   Revision 1.234  2016/08/23 16:51:20  brouard
                    196:   *** empty log message ***
                    197: 
1.234     brouard   198:   Revision 1.233  2016/08/23 07:40:50  brouard
                    199:   Summary: not working
                    200: 
1.233     brouard   201:   Revision 1.232  2016/08/22 14:20:21  brouard
                    202:   Summary: not working
                    203: 
1.232     brouard   204:   Revision 1.231  2016/08/22 07:17:15  brouard
                    205:   Summary: not working
                    206: 
1.231     brouard   207:   Revision 1.230  2016/08/22 06:55:53  brouard
                    208:   Summary: Not working
                    209: 
1.230     brouard   210:   Revision 1.229  2016/07/23 09:45:53  brouard
                    211:   Summary: Completing for func too
                    212: 
1.229     brouard   213:   Revision 1.228  2016/07/22 17:45:30  brouard
                    214:   Summary: Fixing some arrays, still debugging
                    215: 
1.227     brouard   216:   Revision 1.226  2016/07/12 18:42:34  brouard
                    217:   Summary: temp
                    218: 
1.226     brouard   219:   Revision 1.225  2016/07/12 08:40:03  brouard
                    220:   Summary: saving but not running
                    221: 
1.225     brouard   222:   Revision 1.224  2016/07/01 13:16:01  brouard
                    223:   Summary: Fixes
                    224: 
1.224     brouard   225:   Revision 1.223  2016/02/19 09:23:35  brouard
                    226:   Summary: temporary
                    227: 
1.223     brouard   228:   Revision 1.222  2016/02/17 08:14:50  brouard
                    229:   Summary: Probably last 0.98 stable version 0.98r6
                    230: 
1.222     brouard   231:   Revision 1.221  2016/02/15 23:35:36  brouard
                    232:   Summary: minor bug
                    233: 
1.220     brouard   234:   Revision 1.219  2016/02/15 00:48:12  brouard
                    235:   *** empty log message ***
                    236: 
1.219     brouard   237:   Revision 1.218  2016/02/12 11:29:23  brouard
                    238:   Summary: 0.99 Back projections
                    239: 
1.218     brouard   240:   Revision 1.217  2015/12/23 17:18:31  brouard
                    241:   Summary: Experimental backcast
                    242: 
1.217     brouard   243:   Revision 1.216  2015/12/18 17:32:11  brouard
                    244:   Summary: 0.98r4 Warning and status=-2
                    245: 
                    246:   Version 0.98r4 is now:
                    247:    - displaying an error when status is -1, date of interview unknown and date of death known;
                    248:    - permitting a status -2 when the vital status is unknown at a known date of right truncation.
                    249:   Older changes concerning s=-2, dating from 2005 have been supersed.
                    250: 
1.216     brouard   251:   Revision 1.215  2015/12/16 08:52:24  brouard
                    252:   Summary: 0.98r4 working
                    253: 
1.215     brouard   254:   Revision 1.214  2015/12/16 06:57:54  brouard
                    255:   Summary: temporary not working
                    256: 
1.214     brouard   257:   Revision 1.213  2015/12/11 18:22:17  brouard
                    258:   Summary: 0.98r4
                    259: 
1.213     brouard   260:   Revision 1.212  2015/11/21 12:47:24  brouard
                    261:   Summary: minor typo
                    262: 
1.212     brouard   263:   Revision 1.211  2015/11/21 12:41:11  brouard
                    264:   Summary: 0.98r3 with some graph of projected cross-sectional
                    265: 
                    266:   Author: Nicolas Brouard
                    267: 
1.211     brouard   268:   Revision 1.210  2015/11/18 17:41:20  brouard
1.252     brouard   269:   Summary: Start working on projected prevalences  Revision 1.209  2015/11/17 22:12:03  brouard
1.210     brouard   270:   Summary: Adding ftolpl parameter
                    271:   Author: N Brouard
                    272: 
                    273:   We had difficulties to get smoothed confidence intervals. It was due
                    274:   to the period prevalence which wasn't computed accurately. The inner
                    275:   parameter ftolpl is now an outer parameter of the .imach parameter
                    276:   file after estepm. If ftolpl is small 1.e-4 and estepm too,
                    277:   computation are long.
                    278: 
1.209     brouard   279:   Revision 1.208  2015/11/17 14:31:57  brouard
                    280:   Summary: temporary
                    281: 
1.208     brouard   282:   Revision 1.207  2015/10/27 17:36:57  brouard
                    283:   *** empty log message ***
                    284: 
1.207     brouard   285:   Revision 1.206  2015/10/24 07:14:11  brouard
                    286:   *** empty log message ***
                    287: 
1.206     brouard   288:   Revision 1.205  2015/10/23 15:50:53  brouard
                    289:   Summary: 0.98r3 some clarification for graphs on likelihood contributions
                    290: 
1.205     brouard   291:   Revision 1.204  2015/10/01 16:20:26  brouard
                    292:   Summary: Some new graphs of contribution to likelihood
                    293: 
1.204     brouard   294:   Revision 1.203  2015/09/30 17:45:14  brouard
                    295:   Summary: looking at better estimation of the hessian
                    296: 
                    297:   Also a better criteria for convergence to the period prevalence And
                    298:   therefore adding the number of years needed to converge. (The
                    299:   prevalence in any alive state shold sum to one
                    300: 
1.203     brouard   301:   Revision 1.202  2015/09/22 19:45:16  brouard
                    302:   Summary: Adding some overall graph on contribution to likelihood. Might change
                    303: 
1.202     brouard   304:   Revision 1.201  2015/09/15 17:34:58  brouard
                    305:   Summary: 0.98r0
                    306: 
                    307:   - Some new graphs like suvival functions
                    308:   - Some bugs fixed like model=1+age+V2.
                    309: 
1.201     brouard   310:   Revision 1.200  2015/09/09 16:53:55  brouard
                    311:   Summary: Big bug thanks to Flavia
                    312: 
                    313:   Even model=1+age+V2. did not work anymore
                    314: 
1.200     brouard   315:   Revision 1.199  2015/09/07 14:09:23  brouard
                    316:   Summary: 0.98q6 changing default small png format for graph to vectorized svg.
                    317: 
1.199     brouard   318:   Revision 1.198  2015/09/03 07:14:39  brouard
                    319:   Summary: 0.98q5 Flavia
                    320: 
1.198     brouard   321:   Revision 1.197  2015/09/01 18:24:39  brouard
                    322:   *** empty log message ***
                    323: 
1.197     brouard   324:   Revision 1.196  2015/08/18 23:17:52  brouard
                    325:   Summary: 0.98q5
                    326: 
1.196     brouard   327:   Revision 1.195  2015/08/18 16:28:39  brouard
                    328:   Summary: Adding a hack for testing purpose
                    329: 
                    330:   After reading the title, ftol and model lines, if the comment line has
                    331:   a q, starting with #q, the answer at the end of the run is quit. It
                    332:   permits to run test files in batch with ctest. The former workaround was
                    333:   $ echo q | imach foo.imach
                    334: 
1.195     brouard   335:   Revision 1.194  2015/08/18 13:32:00  brouard
                    336:   Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
                    337: 
1.194     brouard   338:   Revision 1.193  2015/08/04 07:17:42  brouard
                    339:   Summary: 0.98q4
                    340: 
1.193     brouard   341:   Revision 1.192  2015/07/16 16:49:02  brouard
                    342:   Summary: Fixing some outputs
                    343: 
1.192     brouard   344:   Revision 1.191  2015/07/14 10:00:33  brouard
                    345:   Summary: Some fixes
                    346: 
1.191     brouard   347:   Revision 1.190  2015/05/05 08:51:13  brouard
                    348:   Summary: Adding digits in output parameters (7 digits instead of 6)
                    349: 
                    350:   Fix 1+age+.
                    351: 
1.190     brouard   352:   Revision 1.189  2015/04/30 14:45:16  brouard
                    353:   Summary: 0.98q2
                    354: 
1.189     brouard   355:   Revision 1.188  2015/04/30 08:27:53  brouard
                    356:   *** empty log message ***
                    357: 
1.188     brouard   358:   Revision 1.187  2015/04/29 09:11:15  brouard
                    359:   *** empty log message ***
                    360: 
1.187     brouard   361:   Revision 1.186  2015/04/23 12:01:52  brouard
                    362:   Summary: V1*age is working now, version 0.98q1
                    363: 
                    364:   Some codes had been disabled in order to simplify and Vn*age was
                    365:   working in the optimization phase, ie, giving correct MLE parameters,
                    366:   but, as usual, outputs were not correct and program core dumped.
                    367: 
1.186     brouard   368:   Revision 1.185  2015/03/11 13:26:42  brouard
                    369:   Summary: Inclusion of compile and links command line for Intel Compiler
                    370: 
1.185     brouard   371:   Revision 1.184  2015/03/11 11:52:39  brouard
                    372:   Summary: Back from Windows 8. Intel Compiler
                    373: 
1.184     brouard   374:   Revision 1.183  2015/03/10 20:34:32  brouard
                    375:   Summary: 0.98q0, trying with directest, mnbrak fixed
                    376: 
                    377:   We use directest instead of original Powell test; probably no
                    378:   incidence on the results, but better justifications;
                    379:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                    380:   wrong results.
                    381: 
1.183     brouard   382:   Revision 1.182  2015/02/12 08:19:57  brouard
                    383:   Summary: Trying to keep directest which seems simpler and more general
                    384:   Author: Nicolas Brouard
                    385: 
1.182     brouard   386:   Revision 1.181  2015/02/11 23:22:24  brouard
                    387:   Summary: Comments on Powell added
                    388: 
                    389:   Author:
                    390: 
1.181     brouard   391:   Revision 1.180  2015/02/11 17:33:45  brouard
                    392:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                    393: 
1.180     brouard   394:   Revision 1.179  2015/01/04 09:57:06  brouard
                    395:   Summary: back to OS/X
                    396: 
1.179     brouard   397:   Revision 1.178  2015/01/04 09:35:48  brouard
                    398:   *** empty log message ***
                    399: 
1.178     brouard   400:   Revision 1.177  2015/01/03 18:40:56  brouard
                    401:   Summary: Still testing ilc32 on OSX
                    402: 
1.177     brouard   403:   Revision 1.176  2015/01/03 16:45:04  brouard
                    404:   *** empty log message ***
                    405: 
1.176     brouard   406:   Revision 1.175  2015/01/03 16:33:42  brouard
                    407:   *** empty log message ***
                    408: 
1.175     brouard   409:   Revision 1.174  2015/01/03 16:15:49  brouard
                    410:   Summary: Still in cross-compilation
                    411: 
1.174     brouard   412:   Revision 1.173  2015/01/03 12:06:26  brouard
                    413:   Summary: trying to detect cross-compilation
                    414: 
1.173     brouard   415:   Revision 1.172  2014/12/27 12:07:47  brouard
                    416:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                    417: 
1.172     brouard   418:   Revision 1.171  2014/12/23 13:26:59  brouard
                    419:   Summary: Back from Visual C
                    420: 
                    421:   Still problem with utsname.h on Windows
                    422: 
1.171     brouard   423:   Revision 1.170  2014/12/23 11:17:12  brouard
                    424:   Summary: Cleaning some \%% back to %%
                    425: 
                    426:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                    427: 
1.170     brouard   428:   Revision 1.169  2014/12/22 23:08:31  brouard
                    429:   Summary: 0.98p
                    430: 
                    431:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                    432: 
1.169     brouard   433:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard   434:   Summary: update
1.169     brouard   435: 
1.168     brouard   436:   Revision 1.167  2014/12/22 13:50:56  brouard
                    437:   Summary: Testing uname and compiler version and if compiled 32 or 64
                    438: 
                    439:   Testing on Linux 64
                    440: 
1.167     brouard   441:   Revision 1.166  2014/12/22 11:40:47  brouard
                    442:   *** empty log message ***
                    443: 
1.166     brouard   444:   Revision 1.165  2014/12/16 11:20:36  brouard
                    445:   Summary: After compiling on Visual C
                    446: 
                    447:   * imach.c (Module): Merging 1.61 to 1.162
                    448: 
1.165     brouard   449:   Revision 1.164  2014/12/16 10:52:11  brouard
                    450:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    451: 
                    452:   * imach.c (Module): Merging 1.61 to 1.162
                    453: 
1.164     brouard   454:   Revision 1.163  2014/12/16 10:30:11  brouard
                    455:   * imach.c (Module): Merging 1.61 to 1.162
                    456: 
1.163     brouard   457:   Revision 1.162  2014/09/25 11:43:39  brouard
                    458:   Summary: temporary backup 0.99!
                    459: 
1.162     brouard   460:   Revision 1.1  2014/09/16 11:06:58  brouard
                    461:   Summary: With some code (wrong) for nlopt
                    462: 
                    463:   Author:
                    464: 
                    465:   Revision 1.161  2014/09/15 20:41:41  brouard
                    466:   Summary: Problem with macro SQR on Intel compiler
                    467: 
1.161     brouard   468:   Revision 1.160  2014/09/02 09:24:05  brouard
                    469:   *** empty log message ***
                    470: 
1.160     brouard   471:   Revision 1.159  2014/09/01 10:34:10  brouard
                    472:   Summary: WIN32
                    473:   Author: Brouard
                    474: 
1.159     brouard   475:   Revision 1.158  2014/08/27 17:11:51  brouard
                    476:   *** empty log message ***
                    477: 
1.158     brouard   478:   Revision 1.157  2014/08/27 16:26:55  brouard
                    479:   Summary: Preparing windows Visual studio version
                    480:   Author: Brouard
                    481: 
                    482:   In order to compile on Visual studio, time.h is now correct and time_t
                    483:   and tm struct should be used. difftime should be used but sometimes I
                    484:   just make the differences in raw time format (time(&now).
                    485:   Trying to suppress #ifdef LINUX
                    486:   Add xdg-open for __linux in order to open default browser.
                    487: 
1.157     brouard   488:   Revision 1.156  2014/08/25 20:10:10  brouard
                    489:   *** empty log message ***
                    490: 
1.156     brouard   491:   Revision 1.155  2014/08/25 18:32:34  brouard
                    492:   Summary: New compile, minor changes
                    493:   Author: Brouard
                    494: 
1.155     brouard   495:   Revision 1.154  2014/06/20 17:32:08  brouard
                    496:   Summary: Outputs now all graphs of convergence to period prevalence
                    497: 
1.154     brouard   498:   Revision 1.153  2014/06/20 16:45:46  brouard
                    499:   Summary: If 3 live state, convergence to period prevalence on same graph
                    500:   Author: Brouard
                    501: 
1.153     brouard   502:   Revision 1.152  2014/06/18 17:54:09  brouard
                    503:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    504: 
1.152     brouard   505:   Revision 1.151  2014/06/18 16:43:30  brouard
                    506:   *** empty log message ***
                    507: 
1.151     brouard   508:   Revision 1.150  2014/06/18 16:42:35  brouard
                    509:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    510:   Author: brouard
                    511: 
1.150     brouard   512:   Revision 1.149  2014/06/18 15:51:14  brouard
                    513:   Summary: Some fixes in parameter files errors
                    514:   Author: Nicolas Brouard
                    515: 
1.149     brouard   516:   Revision 1.148  2014/06/17 17:38:48  brouard
                    517:   Summary: Nothing new
                    518:   Author: Brouard
                    519: 
                    520:   Just a new packaging for OS/X version 0.98nS
                    521: 
1.148     brouard   522:   Revision 1.147  2014/06/16 10:33:11  brouard
                    523:   *** empty log message ***
                    524: 
1.147     brouard   525:   Revision 1.146  2014/06/16 10:20:28  brouard
                    526:   Summary: Merge
                    527:   Author: Brouard
                    528: 
                    529:   Merge, before building revised version.
                    530: 
1.146     brouard   531:   Revision 1.145  2014/06/10 21:23:15  brouard
                    532:   Summary: Debugging with valgrind
                    533:   Author: Nicolas Brouard
                    534: 
                    535:   Lot of changes in order to output the results with some covariates
                    536:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    537:   improve the code.
                    538:   No more memory valgrind error but a lot has to be done in order to
                    539:   continue the work of splitting the code into subroutines.
                    540:   Also, decodemodel has been improved. Tricode is still not
                    541:   optimal. nbcode should be improved. Documentation has been added in
                    542:   the source code.
                    543: 
1.144     brouard   544:   Revision 1.143  2014/01/26 09:45:38  brouard
                    545:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    546: 
                    547:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    548:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    549: 
1.143     brouard   550:   Revision 1.142  2014/01/26 03:57:36  brouard
                    551:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    552: 
                    553:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    554: 
1.142     brouard   555:   Revision 1.141  2014/01/26 02:42:01  brouard
                    556:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    557: 
1.141     brouard   558:   Revision 1.140  2011/09/02 10:37:54  brouard
                    559:   Summary: times.h is ok with mingw32 now.
                    560: 
1.140     brouard   561:   Revision 1.139  2010/06/14 07:50:17  brouard
                    562:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    563:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    564: 
1.139     brouard   565:   Revision 1.138  2010/04/30 18:19:40  brouard
                    566:   *** empty log message ***
                    567: 
1.138     brouard   568:   Revision 1.137  2010/04/29 18:11:38  brouard
                    569:   (Module): Checking covariates for more complex models
                    570:   than V1+V2. A lot of change to be done. Unstable.
                    571: 
1.137     brouard   572:   Revision 1.136  2010/04/26 20:30:53  brouard
                    573:   (Module): merging some libgsl code. Fixing computation
                    574:   of likelione (using inter/intrapolation if mle = 0) in order to
                    575:   get same likelihood as if mle=1.
                    576:   Some cleaning of code and comments added.
                    577: 
1.136     brouard   578:   Revision 1.135  2009/10/29 15:33:14  brouard
                    579:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    580: 
1.135     brouard   581:   Revision 1.134  2009/10/29 13:18:53  brouard
                    582:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    583: 
1.134     brouard   584:   Revision 1.133  2009/07/06 10:21:25  brouard
                    585:   just nforces
                    586: 
1.133     brouard   587:   Revision 1.132  2009/07/06 08:22:05  brouard
                    588:   Many tings
                    589: 
1.132     brouard   590:   Revision 1.131  2009/06/20 16:22:47  brouard
                    591:   Some dimensions resccaled
                    592: 
1.131     brouard   593:   Revision 1.130  2009/05/26 06:44:34  brouard
                    594:   (Module): Max Covariate is now set to 20 instead of 8. A
                    595:   lot of cleaning with variables initialized to 0. Trying to make
                    596:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    597: 
1.130     brouard   598:   Revision 1.129  2007/08/31 13:49:27  lievre
                    599:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    600: 
1.129     lievre    601:   Revision 1.128  2006/06/30 13:02:05  brouard
                    602:   (Module): Clarifications on computing e.j
                    603: 
1.128     brouard   604:   Revision 1.127  2006/04/28 18:11:50  brouard
                    605:   (Module): Yes the sum of survivors was wrong since
                    606:   imach-114 because nhstepm was no more computed in the age
                    607:   loop. Now we define nhstepma in the age loop.
                    608:   (Module): In order to speed up (in case of numerous covariates) we
                    609:   compute health expectancies (without variances) in a first step
                    610:   and then all the health expectancies with variances or standard
                    611:   deviation (needs data from the Hessian matrices) which slows the
                    612:   computation.
                    613:   In the future we should be able to stop the program is only health
                    614:   expectancies and graph are needed without standard deviations.
                    615: 
1.127     brouard   616:   Revision 1.126  2006/04/28 17:23:28  brouard
                    617:   (Module): Yes the sum of survivors was wrong since
                    618:   imach-114 because nhstepm was no more computed in the age
                    619:   loop. Now we define nhstepma in the age loop.
                    620:   Version 0.98h
                    621: 
1.126     brouard   622:   Revision 1.125  2006/04/04 15:20:31  lievre
                    623:   Errors in calculation of health expectancies. Age was not initialized.
                    624:   Forecasting file added.
                    625: 
                    626:   Revision 1.124  2006/03/22 17:13:53  lievre
                    627:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    628:   The log-likelihood is printed in the log file
                    629: 
                    630:   Revision 1.123  2006/03/20 10:52:43  brouard
                    631:   * imach.c (Module): <title> changed, corresponds to .htm file
                    632:   name. <head> headers where missing.
                    633: 
                    634:   * imach.c (Module): Weights can have a decimal point as for
                    635:   English (a comma might work with a correct LC_NUMERIC environment,
                    636:   otherwise the weight is truncated).
                    637:   Modification of warning when the covariates values are not 0 or
                    638:   1.
                    639:   Version 0.98g
                    640: 
                    641:   Revision 1.122  2006/03/20 09:45:41  brouard
                    642:   (Module): Weights can have a decimal point as for
                    643:   English (a comma might work with a correct LC_NUMERIC environment,
                    644:   otherwise the weight is truncated).
                    645:   Modification of warning when the covariates values are not 0 or
                    646:   1.
                    647:   Version 0.98g
                    648: 
                    649:   Revision 1.121  2006/03/16 17:45:01  lievre
                    650:   * imach.c (Module): Comments concerning covariates added
                    651: 
                    652:   * imach.c (Module): refinements in the computation of lli if
                    653:   status=-2 in order to have more reliable computation if stepm is
                    654:   not 1 month. Version 0.98f
                    655: 
                    656:   Revision 1.120  2006/03/16 15:10:38  lievre
                    657:   (Module): refinements in the computation of lli if
                    658:   status=-2 in order to have more reliable computation if stepm is
                    659:   not 1 month. Version 0.98f
                    660: 
                    661:   Revision 1.119  2006/03/15 17:42:26  brouard
                    662:   (Module): Bug if status = -2, the loglikelihood was
                    663:   computed as likelihood omitting the logarithm. Version O.98e
                    664: 
                    665:   Revision 1.118  2006/03/14 18:20:07  brouard
                    666:   (Module): varevsij Comments added explaining the second
                    667:   table of variances if popbased=1 .
                    668:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    669:   (Module): Function pstamp added
                    670:   (Module): Version 0.98d
                    671: 
                    672:   Revision 1.117  2006/03/14 17:16:22  brouard
                    673:   (Module): varevsij Comments added explaining the second
                    674:   table of variances if popbased=1 .
                    675:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    676:   (Module): Function pstamp added
                    677:   (Module): Version 0.98d
                    678: 
                    679:   Revision 1.116  2006/03/06 10:29:27  brouard
                    680:   (Module): Variance-covariance wrong links and
                    681:   varian-covariance of ej. is needed (Saito).
                    682: 
                    683:   Revision 1.115  2006/02/27 12:17:45  brouard
                    684:   (Module): One freematrix added in mlikeli! 0.98c
                    685: 
                    686:   Revision 1.114  2006/02/26 12:57:58  brouard
                    687:   (Module): Some improvements in processing parameter
                    688:   filename with strsep.
                    689: 
                    690:   Revision 1.113  2006/02/24 14:20:24  brouard
                    691:   (Module): Memory leaks checks with valgrind and:
                    692:   datafile was not closed, some imatrix were not freed and on matrix
                    693:   allocation too.
                    694: 
                    695:   Revision 1.112  2006/01/30 09:55:26  brouard
                    696:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    697: 
                    698:   Revision 1.111  2006/01/25 20:38:18  brouard
                    699:   (Module): Lots of cleaning and bugs added (Gompertz)
                    700:   (Module): Comments can be added in data file. Missing date values
                    701:   can be a simple dot '.'.
                    702: 
                    703:   Revision 1.110  2006/01/25 00:51:50  brouard
                    704:   (Module): Lots of cleaning and bugs added (Gompertz)
                    705: 
                    706:   Revision 1.109  2006/01/24 19:37:15  brouard
                    707:   (Module): Comments (lines starting with a #) are allowed in data.
                    708: 
                    709:   Revision 1.108  2006/01/19 18:05:42  lievre
                    710:   Gnuplot problem appeared...
                    711:   To be fixed
                    712: 
                    713:   Revision 1.107  2006/01/19 16:20:37  brouard
                    714:   Test existence of gnuplot in imach path
                    715: 
                    716:   Revision 1.106  2006/01/19 13:24:36  brouard
                    717:   Some cleaning and links added in html output
                    718: 
                    719:   Revision 1.105  2006/01/05 20:23:19  lievre
                    720:   *** empty log message ***
                    721: 
                    722:   Revision 1.104  2005/09/30 16:11:43  lievre
                    723:   (Module): sump fixed, loop imx fixed, and simplifications.
                    724:   (Module): If the status is missing at the last wave but we know
                    725:   that the person is alive, then we can code his/her status as -2
                    726:   (instead of missing=-1 in earlier versions) and his/her
                    727:   contributions to the likelihood is 1 - Prob of dying from last
                    728:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    729:   the healthy state at last known wave). Version is 0.98
                    730: 
                    731:   Revision 1.103  2005/09/30 15:54:49  lievre
                    732:   (Module): sump fixed, loop imx fixed, and simplifications.
                    733: 
                    734:   Revision 1.102  2004/09/15 17:31:30  brouard
                    735:   Add the possibility to read data file including tab characters.
                    736: 
                    737:   Revision 1.101  2004/09/15 10:38:38  brouard
                    738:   Fix on curr_time
                    739: 
                    740:   Revision 1.100  2004/07/12 18:29:06  brouard
                    741:   Add version for Mac OS X. Just define UNIX in Makefile
                    742: 
                    743:   Revision 1.99  2004/06/05 08:57:40  brouard
                    744:   *** empty log message ***
                    745: 
                    746:   Revision 1.98  2004/05/16 15:05:56  brouard
                    747:   New version 0.97 . First attempt to estimate force of mortality
                    748:   directly from the data i.e. without the need of knowing the health
                    749:   state at each age, but using a Gompertz model: log u =a + b*age .
                    750:   This is the basic analysis of mortality and should be done before any
                    751:   other analysis, in order to test if the mortality estimated from the
                    752:   cross-longitudinal survey is different from the mortality estimated
                    753:   from other sources like vital statistic data.
                    754: 
                    755:   The same imach parameter file can be used but the option for mle should be -3.
                    756: 
1.133     brouard   757:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   758:   former routines in order to include the new code within the former code.
                    759: 
                    760:   The output is very simple: only an estimate of the intercept and of
                    761:   the slope with 95% confident intervals.
                    762: 
                    763:   Current limitations:
                    764:   A) Even if you enter covariates, i.e. with the
                    765:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    766:   B) There is no computation of Life Expectancy nor Life Table.
                    767: 
                    768:   Revision 1.97  2004/02/20 13:25:42  lievre
                    769:   Version 0.96d. Population forecasting command line is (temporarily)
                    770:   suppressed.
                    771: 
                    772:   Revision 1.96  2003/07/15 15:38:55  brouard
                    773:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    774:   rewritten within the same printf. Workaround: many printfs.
                    775: 
                    776:   Revision 1.95  2003/07/08 07:54:34  brouard
                    777:   * imach.c (Repository):
                    778:   (Repository): Using imachwizard code to output a more meaningful covariance
                    779:   matrix (cov(a12,c31) instead of numbers.
                    780: 
                    781:   Revision 1.94  2003/06/27 13:00:02  brouard
                    782:   Just cleaning
                    783: 
                    784:   Revision 1.93  2003/06/25 16:33:55  brouard
                    785:   (Module): On windows (cygwin) function asctime_r doesn't
                    786:   exist so I changed back to asctime which exists.
                    787:   (Module): Version 0.96b
                    788: 
                    789:   Revision 1.92  2003/06/25 16:30:45  brouard
                    790:   (Module): On windows (cygwin) function asctime_r doesn't
                    791:   exist so I changed back to asctime which exists.
                    792: 
                    793:   Revision 1.91  2003/06/25 15:30:29  brouard
                    794:   * imach.c (Repository): Duplicated warning errors corrected.
                    795:   (Repository): Elapsed time after each iteration is now output. It
                    796:   helps to forecast when convergence will be reached. Elapsed time
                    797:   is stamped in powell.  We created a new html file for the graphs
                    798:   concerning matrix of covariance. It has extension -cov.htm.
                    799: 
                    800:   Revision 1.90  2003/06/24 12:34:15  brouard
                    801:   (Module): Some bugs corrected for windows. Also, when
                    802:   mle=-1 a template is output in file "or"mypar.txt with the design
                    803:   of the covariance matrix to be input.
                    804: 
                    805:   Revision 1.89  2003/06/24 12:30:52  brouard
                    806:   (Module): Some bugs corrected for windows. Also, when
                    807:   mle=-1 a template is output in file "or"mypar.txt with the design
                    808:   of the covariance matrix to be input.
                    809: 
                    810:   Revision 1.88  2003/06/23 17:54:56  brouard
                    811:   * 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.
                    812: 
                    813:   Revision 1.87  2003/06/18 12:26:01  brouard
                    814:   Version 0.96
                    815: 
                    816:   Revision 1.86  2003/06/17 20:04:08  brouard
                    817:   (Module): Change position of html and gnuplot routines and added
                    818:   routine fileappend.
                    819: 
                    820:   Revision 1.85  2003/06/17 13:12:43  brouard
                    821:   * imach.c (Repository): Check when date of death was earlier that
                    822:   current date of interview. It may happen when the death was just
                    823:   prior to the death. In this case, dh was negative and likelihood
                    824:   was wrong (infinity). We still send an "Error" but patch by
                    825:   assuming that the date of death was just one stepm after the
                    826:   interview.
                    827:   (Repository): Because some people have very long ID (first column)
                    828:   we changed int to long in num[] and we added a new lvector for
                    829:   memory allocation. But we also truncated to 8 characters (left
                    830:   truncation)
                    831:   (Repository): No more line truncation errors.
                    832: 
                    833:   Revision 1.84  2003/06/13 21:44:43  brouard
                    834:   * imach.c (Repository): Replace "freqsummary" at a correct
                    835:   place. It differs from routine "prevalence" which may be called
                    836:   many times. Probs is memory consuming and must be used with
                    837:   parcimony.
                    838:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    839: 
                    840:   Revision 1.83  2003/06/10 13:39:11  lievre
                    841:   *** empty log message ***
                    842: 
                    843:   Revision 1.82  2003/06/05 15:57:20  brouard
                    844:   Add log in  imach.c and  fullversion number is now printed.
                    845: 
                    846: */
                    847: /*
                    848:    Interpolated Markov Chain
                    849: 
                    850:   Short summary of the programme:
                    851:   
1.227     brouard   852:   This program computes Healthy Life Expectancies or State-specific
                    853:   (if states aren't health statuses) Expectancies from
                    854:   cross-longitudinal data. Cross-longitudinal data consist in: 
                    855: 
                    856:   -1- a first survey ("cross") where individuals from different ages
                    857:   are interviewed on their health status or degree of disability (in
                    858:   the case of a health survey which is our main interest)
                    859: 
                    860:   -2- at least a second wave of interviews ("longitudinal") which
                    861:   measure each change (if any) in individual health status.  Health
                    862:   expectancies are computed from the time spent in each health state
                    863:   according to a model. More health states you consider, more time is
                    864:   necessary to reach the Maximum Likelihood of the parameters involved
                    865:   in the model.  The simplest model is the multinomial logistic model
                    866:   where pij is the probability to be observed in state j at the second
                    867:   wave conditional to be observed in state i at the first
                    868:   wave. Therefore the model is: log(pij/pii)= aij + bij*age+ cij*sex +
                    869:   etc , where 'age' is age and 'sex' is a covariate. If you want to
                    870:   have a more complex model than "constant and age", you should modify
                    871:   the program where the markup *Covariates have to be included here
                    872:   again* invites you to do it.  More covariates you add, slower the
1.126     brouard   873:   convergence.
                    874: 
                    875:   The advantage of this computer programme, compared to a simple
                    876:   multinomial logistic model, is clear when the delay between waves is not
                    877:   identical for each individual. Also, if a individual missed an
                    878:   intermediate interview, the information is lost, but taken into
                    879:   account using an interpolation or extrapolation.  
                    880: 
                    881:   hPijx is the probability to be observed in state i at age x+h
                    882:   conditional to the observed state i at age x. The delay 'h' can be
                    883:   split into an exact number (nh*stepm) of unobserved intermediate
                    884:   states. This elementary transition (by month, quarter,
                    885:   semester or year) is modelled as a multinomial logistic.  The hPx
                    886:   matrix is simply the matrix product of nh*stepm elementary matrices
                    887:   and the contribution of each individual to the likelihood is simply
                    888:   hPijx.
                    889: 
                    890:   Also this programme outputs the covariance matrix of the parameters but also
1.218     brouard   891:   of the life expectancies. It also computes the period (stable) prevalence.
                    892: 
                    893: Back prevalence and projections:
1.227     brouard   894: 
                    895:  - back_prevalence_limit(double *p, double **bprlim, double ageminpar,
                    896:    double agemaxpar, double ftolpl, int *ncvyearp, double
                    897:    dateprev1,double dateprev2, int firstpass, int lastpass, int
                    898:    mobilavproj)
                    899: 
                    900:     Computes the back prevalence limit for any combination of
                    901:     covariate values k at any age between ageminpar and agemaxpar and
                    902:     returns it in **bprlim. In the loops,
                    903: 
                    904:    - **bprevalim(**bprlim, ***mobaverage, nlstate, *p, age, **oldm,
                    905:        **savm, **dnewm, **doldm, **dsavm, ftolpl, ncvyearp, k);
                    906: 
                    907:    - hBijx Back Probability to be in state i at age x-h being in j at x
1.218     brouard   908:    Computes for any combination of covariates k and any age between bage and fage 
                    909:    p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                    910:                        oldm=oldms;savm=savms;
1.227     brouard   911: 
1.267     brouard   912:    - hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k, nres);
1.218     brouard   913:      Computes the transition matrix starting at age 'age' over
                    914:      'nhstepm*hstepm*stepm' months (i.e. until
                    915:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
1.227     brouard   916:      nhstepm*hstepm matrices. 
                    917: 
                    918:      Returns p3mat[i][j][h] after calling
                    919:      p3mat[i][j][h]=matprod2(newm,
                    920:      bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm,
                    921:      dsavm,ij),\ 1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,
                    922:      oldm);
1.226     brouard   923: 
                    924: Important routines
                    925: 
                    926: - func (or funcone), computes logit (pij) distinguishing
                    927:   o fixed variables (single or product dummies or quantitative);
                    928:   o varying variables by:
                    929:    (1) wave (single, product dummies, quantitative), 
                    930:    (2) by age (can be month) age (done), age*age (done), age*Vn where Vn can be:
                    931:        % fixed dummy (treated) or quantitative (not done because time-consuming);
                    932:        % varying dummy (not done) or quantitative (not done);
                    933: - Tricode which tests the modality of dummy variables (in order to warn with wrong or empty modalities)
                    934:   and returns the number of efficient covariates cptcoveff and modalities nbcode[Tvar[k]][1]= 0 and nbcode[Tvar[k]][2]= 1 usually.
                    935: - printinghtml which outputs results like life expectancy in and from a state for a combination of modalities of dummy variables
                    936:   o There are 2*cptcoveff combinations of (0,1) for cptcoveff variables. Outputting only combinations with people, éliminating 1 1 if
                    937:     race White (0 0), Black vs White (1 0), Hispanic (0 1) and 1 1 being meaningless.
1.218     brouard   938: 
1.226     brouard   939: 
                    940:   
1.133     brouard   941:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                    942:            Institut national d'études démographiques, Paris.
1.126     brouard   943:   This software have been partly granted by Euro-REVES, a concerted action
                    944:   from the European Union.
                    945:   It is copyrighted identically to a GNU software product, ie programme and
                    946:   software can be distributed freely for non commercial use. Latest version
                    947:   can be accessed at http://euroreves.ined.fr/imach .
                    948: 
                    949:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                    950:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                    951:   
                    952:   **********************************************************************/
                    953: /*
                    954:   main
                    955:   read parameterfile
                    956:   read datafile
                    957:   concatwav
                    958:   freqsummary
                    959:   if (mle >= 1)
                    960:     mlikeli
                    961:   print results files
                    962:   if mle==1 
                    963:      computes hessian
                    964:   read end of parameter file: agemin, agemax, bage, fage, estepm
                    965:       begin-prev-date,...
                    966:   open gnuplot file
                    967:   open html file
1.145     brouard   968:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                    969:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                    970:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                    971:     freexexit2 possible for memory heap.
                    972: 
                    973:   h Pij x                         | pij_nom  ficrestpij
                    974:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                    975:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                    976:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                    977: 
                    978:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                    979:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                    980:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                    981:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                    982:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                    983: 
1.126     brouard   984:   forecasting if prevfcast==1 prevforecast call prevalence()
                    985:   health expectancies
                    986:   Variance-covariance of DFLE
                    987:   prevalence()
                    988:    movingaverage()
                    989:   varevsij() 
                    990:   if popbased==1 varevsij(,popbased)
                    991:   total life expectancies
                    992:   Variance of period (stable) prevalence
                    993:  end
                    994: */
                    995: 
1.187     brouard   996: /* #define DEBUG */
                    997: /* #define DEBUGBRENT */
1.203     brouard   998: /* #define DEBUGLINMIN */
                    999: /* #define DEBUGHESS */
                   1000: #define DEBUGHESSIJ
1.224     brouard  1001: /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan) *\/ */
1.165     brouard  1002: #define POWELL /* Instead of NLOPT */
1.224     brouard  1003: #define POWELLNOF3INFF1TEST /* Skip test */
1.186     brouard  1004: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                   1005: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.126     brouard  1006: 
                   1007: #include <math.h>
                   1008: #include <stdio.h>
                   1009: #include <stdlib.h>
                   1010: #include <string.h>
1.226     brouard  1011: #include <ctype.h>
1.159     brouard  1012: 
                   1013: #ifdef _WIN32
                   1014: #include <io.h>
1.172     brouard  1015: #include <windows.h>
                   1016: #include <tchar.h>
1.159     brouard  1017: #else
1.126     brouard  1018: #include <unistd.h>
1.159     brouard  1019: #endif
1.126     brouard  1020: 
                   1021: #include <limits.h>
                   1022: #include <sys/types.h>
1.171     brouard  1023: 
                   1024: #if defined(__GNUC__)
                   1025: #include <sys/utsname.h> /* Doesn't work on Windows */
                   1026: #endif
                   1027: 
1.126     brouard  1028: #include <sys/stat.h>
                   1029: #include <errno.h>
1.159     brouard  1030: /* extern int errno; */
1.126     brouard  1031: 
1.157     brouard  1032: /* #ifdef LINUX */
                   1033: /* #include <time.h> */
                   1034: /* #include "timeval.h" */
                   1035: /* #else */
                   1036: /* #include <sys/time.h> */
                   1037: /* #endif */
                   1038: 
1.126     brouard  1039: #include <time.h>
                   1040: 
1.136     brouard  1041: #ifdef GSL
                   1042: #include <gsl/gsl_errno.h>
                   1043: #include <gsl/gsl_multimin.h>
                   1044: #endif
                   1045: 
1.167     brouard  1046: 
1.162     brouard  1047: #ifdef NLOPT
                   1048: #include <nlopt.h>
                   1049: typedef struct {
                   1050:   double (* function)(double [] );
                   1051: } myfunc_data ;
                   1052: #endif
                   1053: 
1.126     brouard  1054: /* #include <libintl.h> */
                   1055: /* #define _(String) gettext (String) */
                   1056: 
1.251     brouard  1057: #define MAXLINE 2048 /* Was 256 and 1024. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard  1058: 
                   1059: #define GNUPLOTPROGRAM "gnuplot"
                   1060: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                   1061: #define FILENAMELENGTH 132
                   1062: 
                   1063: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                   1064: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                   1065: 
1.144     brouard  1066: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                   1067: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard  1068: 
                   1069: #define NINTERVMAX 8
1.144     brouard  1070: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                   1071: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
1.291     brouard  1072: #define NCOVMAX 20  /**< Maximum number of covariates, including generated covariates V1*V2 */
1.197     brouard  1073: #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.211     brouard  1074: /*#define decodtabm(h,k,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (k-1)) & 1) +1 : -1)*/
                   1075: #define decodtabm(h,k,cptcoveff) (((h-1) >> (k-1)) & 1) +1 
1.290     brouard  1076: /*#define MAXN 20000 */ /* Should by replaced by nobs, real number of observations and unlimited */
1.144     brouard  1077: #define YEARM 12. /**< Number of months per year */
1.218     brouard  1078: /* #define AGESUP 130 */
1.288     brouard  1079: /* #define AGESUP 150 */
                   1080: #define AGESUP 200
1.268     brouard  1081: #define AGEINF 0
1.218     brouard  1082: #define AGEMARGE 25 /* Marge for agemin and agemax for(iage=agemin-AGEMARGE; iage <= agemax+3+AGEMARGE; iage++) */
1.126     brouard  1083: #define AGEBASE 40
1.194     brouard  1084: #define AGEOVERFLOW 1.e20
1.164     brouard  1085: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard  1086: #ifdef _WIN32
                   1087: #define DIRSEPARATOR '\\'
                   1088: #define CHARSEPARATOR "\\"
                   1089: #define ODIRSEPARATOR '/'
                   1090: #else
1.126     brouard  1091: #define DIRSEPARATOR '/'
                   1092: #define CHARSEPARATOR "/"
                   1093: #define ODIRSEPARATOR '\\'
                   1094: #endif
                   1095: 
1.296   ! brouard  1096: /* $Id: imach.c,v 1.295 2019/05/18 09:52:50 brouard Exp $ */
1.126     brouard  1097: /* $State: Exp $ */
1.196     brouard  1098: #include "version.h"
                   1099: char version[]=__IMACH_VERSION__;
1.283     brouard  1100: 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";
1.296   ! brouard  1101: char fullversion[]="$Revision: 1.295 $ $Date: 2019/05/18 09:52:50 $"; 
1.126     brouard  1102: char strstart[80];
                   1103: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard  1104: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard  1105: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard  1106: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                   1107: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                   1108: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
1.225     brouard  1109: int cptcovs=0; /**< cptcovs number of simple covariates in the model V2+V1 =2 */
                   1110: int cptcovsnq=0; /**< cptcovsnq number of simple covariates in the model but non quantitative V2+V1 =2 */
1.145     brouard  1111: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                   1112: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                   1113: int cptcoveff=0; /* Total number of covariates to vary for printing results */
1.233     brouard  1114: int ncovf=0; /* Total number of effective fixed covariates (dummy or quantitative) in the model */
                   1115: int ncovv=0; /* Total number of effective (wave) varying covariates (dummy or quantitative) in the model */
1.232     brouard  1116: int ncova=0; /* Total number of effective (wave and stepm) varying with age covariates (dummy of quantitative) in the model */
1.234     brouard  1117: int nsd=0; /**< Total number of single dummy variables (output) */
                   1118: int nsq=0; /**< Total number of single quantitative variables (output) */
1.232     brouard  1119: int ncoveff=0; /* Total number of effective fixed dummy covariates in the model */
1.225     brouard  1120: int nqfveff=0; /**< nqfveff Number of Quantitative Fixed Variables Effective */
1.224     brouard  1121: int ntveff=0; /**< ntveff number of effective time varying variables */
                   1122: int nqtveff=0; /**< ntqveff number of effective time varying quantitative variables */
1.145     brouard  1123: int cptcov=0; /* Working variable */
1.290     brouard  1124: int nobs=10;  /* Number of observations in the data lastobs-firstobs */
1.218     brouard  1125: int ncovcombmax=NCOVMAX; /* Maximum calculated number of covariate combination = pow(2, cptcoveff) */
1.126     brouard  1126: int npar=NPARMAX;
                   1127: int nlstate=2; /* Number of live states */
                   1128: int ndeath=1; /* Number of dead states */
1.130     brouard  1129: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.223     brouard  1130: int  nqv=0, ntv=0, nqtv=0;    /* Total number of quantitative variables, time variable (dummy), quantitative and time variable */ 
1.126     brouard  1131: int popbased=0;
                   1132: 
                   1133: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard  1134: int maxwav=0; /* Maxim number of waves */
                   1135: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                   1136: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                   1137: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard  1138:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard  1139: int mle=1, weightopt=0;
1.126     brouard  1140: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                   1141: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                   1142: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                   1143:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard  1144: int countcallfunc=0;  /* Count the number of calls to func */
1.230     brouard  1145: int selected(int kvar); /* Is covariate kvar selected for printing results */
                   1146: 
1.130     brouard  1147: double jmean=1; /* Mean space between 2 waves */
1.145     brouard  1148: double **matprod2(); /* test */
1.126     brouard  1149: double **oldm, **newm, **savm; /* Working pointers to matrices */
                   1150: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.218     brouard  1151: double  **ddnewms, **ddoldms, **ddsavms; /* for freeing later */
                   1152: 
1.136     brouard  1153: /*FILE *fic ; */ /* Used in readdata only */
1.217     brouard  1154: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficresphtm, *ficresphtmfr, *ficrespl, *ficresplb,*ficrespij, *ficrespijb, *ficrest,*ficresf, *ficresfb,*ficrespop;
1.126     brouard  1155: FILE *ficlog, *ficrespow;
1.130     brouard  1156: int globpr=0; /* Global variable for printing or not */
1.126     brouard  1157: double fretone; /* Only one call to likelihood */
1.130     brouard  1158: long ipmx=0; /* Number of contributions */
1.126     brouard  1159: double sw; /* Sum of weights */
                   1160: char filerespow[FILENAMELENGTH];
                   1161: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                   1162: FILE *ficresilk;
                   1163: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                   1164: FILE *ficresprobmorprev;
                   1165: FILE *fichtm, *fichtmcov; /* Html File */
                   1166: FILE *ficreseij;
                   1167: char filerese[FILENAMELENGTH];
                   1168: FILE *ficresstdeij;
                   1169: char fileresstde[FILENAMELENGTH];
                   1170: FILE *ficrescveij;
                   1171: char filerescve[FILENAMELENGTH];
                   1172: FILE  *ficresvij;
                   1173: char fileresv[FILENAMELENGTH];
1.269     brouard  1174: 
1.126     brouard  1175: char title[MAXLINE];
1.234     brouard  1176: char model[MAXLINE]; /**< The model line */
1.217     brouard  1177: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH],  fileresplb[FILENAMELENGTH];
1.126     brouard  1178: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                   1179: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                   1180: char command[FILENAMELENGTH];
                   1181: int  outcmd=0;
                   1182: 
1.217     brouard  1183: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filerespijb[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
1.202     brouard  1184: char fileresu[FILENAMELENGTH]; /* fileres without r in front */
1.126     brouard  1185: char filelog[FILENAMELENGTH]; /* Log file */
                   1186: char filerest[FILENAMELENGTH];
                   1187: char fileregp[FILENAMELENGTH];
                   1188: char popfile[FILENAMELENGTH];
                   1189: 
                   1190: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                   1191: 
1.157     brouard  1192: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                   1193: /* struct timezone tzp; */
                   1194: /* extern int gettimeofday(); */
                   1195: struct tm tml, *gmtime(), *localtime();
                   1196: 
                   1197: extern time_t time();
                   1198: 
                   1199: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                   1200: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                   1201: struct tm tm;
                   1202: 
1.126     brouard  1203: char strcurr[80], strfor[80];
                   1204: 
                   1205: char *endptr;
                   1206: long lval;
                   1207: double dval;
                   1208: 
                   1209: #define NR_END 1
                   1210: #define FREE_ARG char*
                   1211: #define FTOL 1.0e-10
                   1212: 
                   1213: #define NRANSI 
1.240     brouard  1214: #define ITMAX 200
                   1215: #define ITPOWMAX 20 /* This is now multiplied by the number of parameters */ 
1.126     brouard  1216: 
                   1217: #define TOL 2.0e-4 
                   1218: 
                   1219: #define CGOLD 0.3819660 
                   1220: #define ZEPS 1.0e-10 
                   1221: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                   1222: 
                   1223: #define GOLD 1.618034 
                   1224: #define GLIMIT 100.0 
                   1225: #define TINY 1.0e-20 
                   1226: 
                   1227: static double maxarg1,maxarg2;
                   1228: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                   1229: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                   1230:   
                   1231: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                   1232: #define rint(a) floor(a+0.5)
1.166     brouard  1233: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard  1234: #define mytinydouble 1.0e-16
1.166     brouard  1235: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                   1236: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                   1237: /* static double dsqrarg; */
                   1238: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard  1239: static double sqrarg;
                   1240: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                   1241: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                   1242: int agegomp= AGEGOMP;
                   1243: 
                   1244: int imx; 
                   1245: int stepm=1;
                   1246: /* Stepm, step in month: minimum step interpolation*/
                   1247: 
                   1248: int estepm;
                   1249: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                   1250: 
                   1251: int m,nb;
                   1252: long *num;
1.197     brouard  1253: int firstpass=0, lastpass=4,*cod, *cens;
1.192     brouard  1254: int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                   1255:                   covariate for which somebody answered excluding 
                   1256:                   undefined. Usually 2: 0 and 1. */
                   1257: int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                   1258:                             covariate for which somebody answered including 
                   1259:                             undefined. Usually 3: -1, 0 and 1. */
1.126     brouard  1260: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
1.218     brouard  1261: double **pmmij, ***probs; /* Global pointer */
1.219     brouard  1262: double ***mobaverage, ***mobaverages; /* New global variable */
1.126     brouard  1263: double *ageexmed,*agecens;
                   1264: double dateintmean=0;
1.296   ! brouard  1265:   double anprojd, mprojd, jprojd; /* For eventual projections */
        !          1266:   double anprojf, mprojf, jprojf;
1.126     brouard  1267: 
1.296   ! brouard  1268:   double anbackd, mbackd, jbackd; /* For eventual backprojections */
        !          1269:   double anbackf, mbackf, jbackf;
        !          1270:   double jintmean,mintmean,aintmean;  
1.126     brouard  1271: double *weight;
                   1272: int **s; /* Status */
1.141     brouard  1273: double *agedc;
1.145     brouard  1274: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard  1275:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard  1276:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.268     brouard  1277: double **coqvar; /* Fixed quantitative covariate nqv */
                   1278: double ***cotvar; /* Time varying covariate ntv */
1.225     brouard  1279: double ***cotqvar; /* Time varying quantitative covariate itqv */
1.141     brouard  1280: double  idx; 
                   1281: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.234     brouard  1282: /*           V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1283: /*k          1  2   3   4     5    6    7     8    9 */
                   1284: /*Tvar[k]=   5  4   3   6     5    2    7     1    1 */
                   1285: /* Tndvar[k]    1   2   3               4          5 */
                   1286: /*TDvar         4   3   6               7          1 */ /* For outputs only; combination of dummies fixed or varying */
                   1287: /* Tns[k]    1  2   2              4               5 */ /* Number of single cova */
                   1288: /* TvarsD[k]    1   2                              3 */ /* Number of single dummy cova */
                   1289: /* TvarsDind    2   3                              9 */ /* position K of single dummy cova */
                   1290: /* TvarsQ[k] 1                     2                 */ /* Number of single quantitative cova */
                   1291: /* TvarsQind 1                     6                 */ /* position K of single quantitative cova */
                   1292: /* Tprod[i]=k           4               7            */
                   1293: /* Tage[i]=k                  5               8      */
                   1294: /* */
                   1295: /* Type                    */
                   1296: /* V         1  2  3  4  5 */
                   1297: /*           F  F  V  V  V */
                   1298: /*           D  Q  D  D  Q */
                   1299: /*                         */
                   1300: int *TvarsD;
                   1301: int *TvarsDind;
                   1302: int *TvarsQ;
                   1303: int *TvarsQind;
                   1304: 
1.235     brouard  1305: #define MAXRESULTLINES 10
                   1306: int nresult=0;
1.258     brouard  1307: int parameterline=0; /* # of the parameter (type) line */
1.235     brouard  1308: int TKresult[MAXRESULTLINES];
1.237     brouard  1309: int Tresult[MAXRESULTLINES][NCOVMAX];/* For dummy variable , value (output) */
                   1310: int Tinvresult[MAXRESULTLINES][NCOVMAX];/* For dummy variable , value (output) */
1.235     brouard  1311: int Tvresult[MAXRESULTLINES][NCOVMAX]; /* For dummy variable , variable # (output) */
                   1312: double Tqresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , value (output) */
1.237     brouard  1313: double Tqinvresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , value (output) */
1.235     brouard  1314: int Tvqresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , variable # (output) */
                   1315: 
1.234     brouard  1316: /* 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  1317: 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 */
                   1318: 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 */
                   1319: 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 */
                   1320: int *TvarVind; /**< TvarVind[1]=1, TvarVind[2]=2  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1321: 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 */
                   1322: 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  1323: int *TvarFD; /**< TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1324: int *TvarFDind; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1325: int *TvarFQ; /* TvarFQ[1]=V2 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1326: int *TvarFQind; /* TvarFQind[1]=6 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1327: int *TvarVD; /* TvarVD[1]=V5 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1328: int *TvarVDind; /* TvarVDind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1329: 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 */
                   1330: 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 */
                   1331: 
1.230     brouard  1332: int *Tvarsel; /**< Selected covariates for output */
                   1333: double *Tvalsel; /**< Selected modality value of covariate for output */
1.226     brouard  1334: int *Typevar; /**< 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product */
1.227     brouard  1335: int *Fixed; /** Fixed[k] 0=fixed, 1 varying, 2 fixed with age product, 3 varying with age product */ 
                   1336: 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  1337: int *DummyV; /** Dummy[v] 0=dummy (0 1), 1 quantitative */
                   1338: int *FixedV; /** FixedV[v] 0 fixed, 1 varying */
1.197     brouard  1339: int *Tage;
1.227     brouard  1340: int anyvaryingduminmodel=0; /**< Any varying dummy in Model=1 yes, 0 no, to avoid a loop on waves in freq */ 
1.228     brouard  1341: 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  1342: 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*/ 
                   1343: 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  1344: int *Ndum; /** Freq of modality (tricode */
1.200     brouard  1345: /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
1.227     brouard  1346: int **Tvard;
                   1347: int *Tprod;/**< Gives the k position of the k1 product */
1.238     brouard  1348: /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3  */
1.227     brouard  1349: int *Tposprod; /**< Gives the k1 product from the k position */
1.238     brouard  1350:    /* if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2) */
                   1351:    /* Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5(V3*V2)]=2 (2nd product without age) */
1.227     brouard  1352: int cptcovprod, *Tvaraff, *invalidvarcomb;
1.126     brouard  1353: double *lsurv, *lpop, *tpop;
                   1354: 
1.231     brouard  1355: #define FD 1; /* Fixed dummy covariate */
                   1356: #define FQ 2; /* Fixed quantitative covariate */
                   1357: #define FP 3; /* Fixed product covariate */
                   1358: #define FPDD 7; /* Fixed product dummy*dummy covariate */
                   1359: #define FPDQ 8; /* Fixed product dummy*quantitative covariate */
                   1360: #define FPQQ 9; /* Fixed product quantitative*quantitative covariate */
                   1361: #define VD 10; /* Varying dummy covariate */
                   1362: #define VQ 11; /* Varying quantitative covariate */
                   1363: #define VP 12; /* Varying product covariate */
                   1364: #define VPDD 13; /* Varying product dummy*dummy covariate */
                   1365: #define VPDQ 14; /* Varying product dummy*quantitative covariate */
                   1366: #define VPQQ 15; /* Varying product quantitative*quantitative covariate */
                   1367: #define APFD 16; /* Age product * fixed dummy covariate */
                   1368: #define APFQ 17; /* Age product * fixed quantitative covariate */
                   1369: #define APVD 18; /* Age product * varying dummy covariate */
                   1370: #define APVQ 19; /* Age product * varying quantitative covariate */
                   1371: 
                   1372: #define FTYPE 1; /* Fixed covariate */
                   1373: #define VTYPE 2; /* Varying covariate (loop in wave) */
                   1374: #define ATYPE 2; /* Age product covariate (loop in dh within wave)*/
                   1375: 
                   1376: struct kmodel{
                   1377:        int maintype; /* main type */
                   1378:        int subtype; /* subtype */
                   1379: };
                   1380: struct kmodel modell[NCOVMAX];
                   1381: 
1.143     brouard  1382: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                   1383: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard  1384: 
                   1385: /**************** split *************************/
                   1386: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                   1387: {
                   1388:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                   1389:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                   1390:   */ 
                   1391:   char *ss;                            /* pointer */
1.186     brouard  1392:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard  1393: 
                   1394:   l1 = strlen(path );                  /* length of path */
                   1395:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1396:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                   1397:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                   1398:     strcpy( name, path );              /* we got the fullname name because no directory */
                   1399:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                   1400:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                   1401:     /* get current working directory */
                   1402:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard  1403: #ifdef WIN32
                   1404:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                   1405: #else
                   1406:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                   1407: #endif
1.126     brouard  1408:       return( GLOCK_ERROR_GETCWD );
                   1409:     }
                   1410:     /* got dirc from getcwd*/
                   1411:     printf(" DIRC = %s \n",dirc);
1.205     brouard  1412:   } else {                             /* strip directory from path */
1.126     brouard  1413:     ss++;                              /* after this, the filename */
                   1414:     l2 = strlen( ss );                 /* length of filename */
                   1415:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1416:     strcpy( name, ss );                /* save file name */
                   1417:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard  1418:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard  1419:     printf(" DIRC2 = %s \n",dirc);
                   1420:   }
                   1421:   /* We add a separator at the end of dirc if not exists */
                   1422:   l1 = strlen( dirc );                 /* length of directory */
                   1423:   if( dirc[l1-1] != DIRSEPARATOR ){
                   1424:     dirc[l1] =  DIRSEPARATOR;
                   1425:     dirc[l1+1] = 0; 
                   1426:     printf(" DIRC3 = %s \n",dirc);
                   1427:   }
                   1428:   ss = strrchr( name, '.' );           /* find last / */
                   1429:   if (ss >0){
                   1430:     ss++;
                   1431:     strcpy(ext,ss);                    /* save extension */
                   1432:     l1= strlen( name);
                   1433:     l2= strlen(ss)+1;
                   1434:     strncpy( finame, name, l1-l2);
                   1435:     finame[l1-l2]= 0;
                   1436:   }
                   1437: 
                   1438:   return( 0 );                         /* we're done */
                   1439: }
                   1440: 
                   1441: 
                   1442: /******************************************/
                   1443: 
                   1444: void replace_back_to_slash(char *s, char*t)
                   1445: {
                   1446:   int i;
                   1447:   int lg=0;
                   1448:   i=0;
                   1449:   lg=strlen(t);
                   1450:   for(i=0; i<= lg; i++) {
                   1451:     (s[i] = t[i]);
                   1452:     if (t[i]== '\\') s[i]='/';
                   1453:   }
                   1454: }
                   1455: 
1.132     brouard  1456: char *trimbb(char *out, char *in)
1.137     brouard  1457: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard  1458:   char *s;
                   1459:   s=out;
                   1460:   while (*in != '\0'){
1.137     brouard  1461:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard  1462:       in++;
                   1463:     }
                   1464:     *out++ = *in++;
                   1465:   }
                   1466:   *out='\0';
                   1467:   return s;
                   1468: }
                   1469: 
1.187     brouard  1470: /* char *substrchaine(char *out, char *in, char *chain) */
                   1471: /* { */
                   1472: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                   1473: /*   char *s, *t; */
                   1474: /*   t=in;s=out; */
                   1475: /*   while ((*in != *chain) && (*in != '\0')){ */
                   1476: /*     *out++ = *in++; */
                   1477: /*   } */
                   1478: 
                   1479: /*   /\* *in matches *chain *\/ */
                   1480: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                   1481: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1482: /*   } */
                   1483: /*   in--; chain--; */
                   1484: /*   while ( (*in != '\0')){ */
                   1485: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1486: /*     *out++ = *in++; */
                   1487: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1488: /*   } */
                   1489: /*   *out='\0'; */
                   1490: /*   out=s; */
                   1491: /*   return out; */
                   1492: /* } */
                   1493: char *substrchaine(char *out, char *in, char *chain)
                   1494: {
                   1495:   /* Substract chain 'chain' from 'in', return and output 'out' */
                   1496:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                   1497: 
                   1498:   char *strloc;
                   1499: 
                   1500:   strcpy (out, in); 
                   1501:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                   1502:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                   1503:   if(strloc != NULL){ 
                   1504:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                   1505:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                   1506:     /* strcpy (strloc, strloc +strlen(chain));*/
                   1507:   }
                   1508:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                   1509:   return out;
                   1510: }
                   1511: 
                   1512: 
1.145     brouard  1513: char *cutl(char *blocc, char *alocc, char *in, char occ)
                   1514: {
1.187     brouard  1515:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard  1516:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.187     brouard  1517:      gives blocc="abcdef" and alocc="ghi2j".
1.145     brouard  1518:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                   1519:   */
1.160     brouard  1520:   char *s, *t;
1.145     brouard  1521:   t=in;s=in;
                   1522:   while ((*in != occ) && (*in != '\0')){
                   1523:     *alocc++ = *in++;
                   1524:   }
                   1525:   if( *in == occ){
                   1526:     *(alocc)='\0';
                   1527:     s=++in;
                   1528:   }
                   1529:  
                   1530:   if (s == t) {/* occ not found */
                   1531:     *(alocc-(in-s))='\0';
                   1532:     in=s;
                   1533:   }
                   1534:   while ( *in != '\0'){
                   1535:     *blocc++ = *in++;
                   1536:   }
                   1537: 
                   1538:   *blocc='\0';
                   1539:   return t;
                   1540: }
1.137     brouard  1541: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1542: {
1.187     brouard  1543:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1544:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1545:      gives blocc="abcdef2ghi" and alocc="j".
                   1546:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1547:   */
                   1548:   char *s, *t;
                   1549:   t=in;s=in;
                   1550:   while (*in != '\0'){
                   1551:     while( *in == occ){
                   1552:       *blocc++ = *in++;
                   1553:       s=in;
                   1554:     }
                   1555:     *blocc++ = *in++;
                   1556:   }
                   1557:   if (s == t) /* occ not found */
                   1558:     *(blocc-(in-s))='\0';
                   1559:   else
                   1560:     *(blocc-(in-s)-1)='\0';
                   1561:   in=s;
                   1562:   while ( *in != '\0'){
                   1563:     *alocc++ = *in++;
                   1564:   }
                   1565: 
                   1566:   *alocc='\0';
                   1567:   return s;
                   1568: }
                   1569: 
1.126     brouard  1570: int nbocc(char *s, char occ)
                   1571: {
                   1572:   int i,j=0;
                   1573:   int lg=20;
                   1574:   i=0;
                   1575:   lg=strlen(s);
                   1576:   for(i=0; i<= lg; i++) {
1.234     brouard  1577:     if  (s[i] == occ ) j++;
1.126     brouard  1578:   }
                   1579:   return j;
                   1580: }
                   1581: 
1.137     brouard  1582: /* void cutv(char *u,char *v, char*t, char occ) */
                   1583: /* { */
                   1584: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1585: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1586: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1587: /*   int i,lg,j,p=0; */
                   1588: /*   i=0; */
                   1589: /*   lg=strlen(t); */
                   1590: /*   for(j=0; j<=lg-1; j++) { */
                   1591: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1592: /*   } */
1.126     brouard  1593: 
1.137     brouard  1594: /*   for(j=0; j<p; j++) { */
                   1595: /*     (u[j] = t[j]); */
                   1596: /*   } */
                   1597: /*      u[p]='\0'; */
1.126     brouard  1598: 
1.137     brouard  1599: /*    for(j=0; j<= lg; j++) { */
                   1600: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1601: /*   } */
                   1602: /* } */
1.126     brouard  1603: 
1.160     brouard  1604: #ifdef _WIN32
                   1605: char * strsep(char **pp, const char *delim)
                   1606: {
                   1607:   char *p, *q;
                   1608:          
                   1609:   if ((p = *pp) == NULL)
                   1610:     return 0;
                   1611:   if ((q = strpbrk (p, delim)) != NULL)
                   1612:   {
                   1613:     *pp = q + 1;
                   1614:     *q = '\0';
                   1615:   }
                   1616:   else
                   1617:     *pp = 0;
                   1618:   return p;
                   1619: }
                   1620: #endif
                   1621: 
1.126     brouard  1622: /********************** nrerror ********************/
                   1623: 
                   1624: void nrerror(char error_text[])
                   1625: {
                   1626:   fprintf(stderr,"ERREUR ...\n");
                   1627:   fprintf(stderr,"%s\n",error_text);
                   1628:   exit(EXIT_FAILURE);
                   1629: }
                   1630: /*********************** vector *******************/
                   1631: double *vector(int nl, int nh)
                   1632: {
                   1633:   double *v;
                   1634:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1635:   if (!v) nrerror("allocation failure in vector");
                   1636:   return v-nl+NR_END;
                   1637: }
                   1638: 
                   1639: /************************ free vector ******************/
                   1640: void free_vector(double*v, int nl, int nh)
                   1641: {
                   1642:   free((FREE_ARG)(v+nl-NR_END));
                   1643: }
                   1644: 
                   1645: /************************ivector *******************************/
                   1646: int *ivector(long nl,long nh)
                   1647: {
                   1648:   int *v;
                   1649:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1650:   if (!v) nrerror("allocation failure in ivector");
                   1651:   return v-nl+NR_END;
                   1652: }
                   1653: 
                   1654: /******************free ivector **************************/
                   1655: void free_ivector(int *v, long nl, long nh)
                   1656: {
                   1657:   free((FREE_ARG)(v+nl-NR_END));
                   1658: }
                   1659: 
                   1660: /************************lvector *******************************/
                   1661: long *lvector(long nl,long nh)
                   1662: {
                   1663:   long *v;
                   1664:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1665:   if (!v) nrerror("allocation failure in ivector");
                   1666:   return v-nl+NR_END;
                   1667: }
                   1668: 
                   1669: /******************free lvector **************************/
                   1670: void free_lvector(long *v, long nl, long nh)
                   1671: {
                   1672:   free((FREE_ARG)(v+nl-NR_END));
                   1673: }
                   1674: 
                   1675: /******************* imatrix *******************************/
                   1676: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1677:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1678: { 
                   1679:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1680:   int **m; 
                   1681:   
                   1682:   /* allocate pointers to rows */ 
                   1683:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1684:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1685:   m += NR_END; 
                   1686:   m -= nrl; 
                   1687:   
                   1688:   
                   1689:   /* allocate rows and set pointers to them */ 
                   1690:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1691:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1692:   m[nrl] += NR_END; 
                   1693:   m[nrl] -= ncl; 
                   1694:   
                   1695:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1696:   
                   1697:   /* return pointer to array of pointers to rows */ 
                   1698:   return m; 
                   1699: } 
                   1700: 
                   1701: /****************** free_imatrix *************************/
                   1702: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1703:       int **m;
                   1704:       long nch,ncl,nrh,nrl; 
                   1705:      /* free an int matrix allocated by imatrix() */ 
                   1706: { 
                   1707:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1708:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1709: } 
                   1710: 
                   1711: /******************* matrix *******************************/
                   1712: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1713: {
                   1714:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1715:   double **m;
                   1716: 
                   1717:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1718:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1719:   m += NR_END;
                   1720:   m -= nrl;
                   1721: 
                   1722:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1723:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1724:   m[nrl] += NR_END;
                   1725:   m[nrl] -= ncl;
                   1726: 
                   1727:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1728:   return m;
1.145     brouard  1729:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1730: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1731: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1732:    */
                   1733: }
                   1734: 
                   1735: /*************************free matrix ************************/
                   1736: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1737: {
                   1738:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1739:   free((FREE_ARG)(m+nrl-NR_END));
                   1740: }
                   1741: 
                   1742: /******************* ma3x *******************************/
                   1743: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1744: {
                   1745:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1746:   double ***m;
                   1747: 
                   1748:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1749:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1750:   m += NR_END;
                   1751:   m -= nrl;
                   1752: 
                   1753:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1754:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1755:   m[nrl] += NR_END;
                   1756:   m[nrl] -= ncl;
                   1757: 
                   1758:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1759: 
                   1760:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1761:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1762:   m[nrl][ncl] += NR_END;
                   1763:   m[nrl][ncl] -= nll;
                   1764:   for (j=ncl+1; j<=nch; j++) 
                   1765:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1766:   
                   1767:   for (i=nrl+1; i<=nrh; i++) {
                   1768:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1769:     for (j=ncl+1; j<=nch; j++) 
                   1770:       m[i][j]=m[i][j-1]+nlay;
                   1771:   }
                   1772:   return m; 
                   1773:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1774:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1775:   */
                   1776: }
                   1777: 
                   1778: /*************************free ma3x ************************/
                   1779: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1780: {
                   1781:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1782:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1783:   free((FREE_ARG)(m+nrl-NR_END));
                   1784: }
                   1785: 
                   1786: /*************** function subdirf ***********/
                   1787: char *subdirf(char fileres[])
                   1788: {
                   1789:   /* Caution optionfilefiname is hidden */
                   1790:   strcpy(tmpout,optionfilefiname);
                   1791:   strcat(tmpout,"/"); /* Add to the right */
                   1792:   strcat(tmpout,fileres);
                   1793:   return tmpout;
                   1794: }
                   1795: 
                   1796: /*************** function subdirf2 ***********/
                   1797: char *subdirf2(char fileres[], char *preop)
                   1798: {
                   1799:   
                   1800:   /* Caution optionfilefiname is hidden */
                   1801:   strcpy(tmpout,optionfilefiname);
                   1802:   strcat(tmpout,"/");
                   1803:   strcat(tmpout,preop);
                   1804:   strcat(tmpout,fileres);
                   1805:   return tmpout;
                   1806: }
                   1807: 
                   1808: /*************** function subdirf3 ***********/
                   1809: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1810: {
                   1811:   
                   1812:   /* Caution optionfilefiname is hidden */
                   1813:   strcpy(tmpout,optionfilefiname);
                   1814:   strcat(tmpout,"/");
                   1815:   strcat(tmpout,preop);
                   1816:   strcat(tmpout,preop2);
                   1817:   strcat(tmpout,fileres);
                   1818:   return tmpout;
                   1819: }
1.213     brouard  1820:  
                   1821: /*************** function subdirfext ***********/
                   1822: char *subdirfext(char fileres[], char *preop, char *postop)
                   1823: {
                   1824:   
                   1825:   strcpy(tmpout,preop);
                   1826:   strcat(tmpout,fileres);
                   1827:   strcat(tmpout,postop);
                   1828:   return tmpout;
                   1829: }
1.126     brouard  1830: 
1.213     brouard  1831: /*************** function subdirfext3 ***********/
                   1832: char *subdirfext3(char fileres[], char *preop, char *postop)
                   1833: {
                   1834:   
                   1835:   /* Caution optionfilefiname is hidden */
                   1836:   strcpy(tmpout,optionfilefiname);
                   1837:   strcat(tmpout,"/");
                   1838:   strcat(tmpout,preop);
                   1839:   strcat(tmpout,fileres);
                   1840:   strcat(tmpout,postop);
                   1841:   return tmpout;
                   1842: }
                   1843:  
1.162     brouard  1844: char *asc_diff_time(long time_sec, char ascdiff[])
                   1845: {
                   1846:   long sec_left, days, hours, minutes;
                   1847:   days = (time_sec) / (60*60*24);
                   1848:   sec_left = (time_sec) % (60*60*24);
                   1849:   hours = (sec_left) / (60*60) ;
                   1850:   sec_left = (sec_left) %(60*60);
                   1851:   minutes = (sec_left) /60;
                   1852:   sec_left = (sec_left) % (60);
                   1853:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1854:   return ascdiff;
                   1855: }
                   1856: 
1.126     brouard  1857: /***************** f1dim *************************/
                   1858: extern int ncom; 
                   1859: extern double *pcom,*xicom;
                   1860: extern double (*nrfunc)(double []); 
                   1861:  
                   1862: double f1dim(double x) 
                   1863: { 
                   1864:   int j; 
                   1865:   double f;
                   1866:   double *xt; 
                   1867:  
                   1868:   xt=vector(1,ncom); 
                   1869:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   1870:   f=(*nrfunc)(xt); 
                   1871:   free_vector(xt,1,ncom); 
                   1872:   return f; 
                   1873: } 
                   1874: 
                   1875: /*****************brent *************************/
                   1876: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  1877: {
                   1878:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   1879:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   1880:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   1881:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   1882:    * returned function value. 
                   1883:   */
1.126     brouard  1884:   int iter; 
                   1885:   double a,b,d,etemp;
1.159     brouard  1886:   double fu=0,fv,fw,fx;
1.164     brouard  1887:   double ftemp=0.;
1.126     brouard  1888:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   1889:   double e=0.0; 
                   1890:  
                   1891:   a=(ax < cx ? ax : cx); 
                   1892:   b=(ax > cx ? ax : cx); 
                   1893:   x=w=v=bx; 
                   1894:   fw=fv=fx=(*f)(x); 
                   1895:   for (iter=1;iter<=ITMAX;iter++) { 
                   1896:     xm=0.5*(a+b); 
                   1897:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   1898:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   1899:     printf(".");fflush(stdout);
                   1900:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  1901: #ifdef DEBUGBRENT
1.126     brouard  1902:     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);
                   1903:     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);
                   1904:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   1905: #endif
                   1906:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   1907:       *xmin=x; 
                   1908:       return fx; 
                   1909:     } 
                   1910:     ftemp=fu;
                   1911:     if (fabs(e) > tol1) { 
                   1912:       r=(x-w)*(fx-fv); 
                   1913:       q=(x-v)*(fx-fw); 
                   1914:       p=(x-v)*q-(x-w)*r; 
                   1915:       q=2.0*(q-r); 
                   1916:       if (q > 0.0) p = -p; 
                   1917:       q=fabs(q); 
                   1918:       etemp=e; 
                   1919:       e=d; 
                   1920:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
1.224     brouard  1921:                                d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
1.126     brouard  1922:       else { 
1.224     brouard  1923:                                d=p/q; 
                   1924:                                u=x+d; 
                   1925:                                if (u-a < tol2 || b-u < tol2) 
                   1926:                                        d=SIGN(tol1,xm-x); 
1.126     brouard  1927:       } 
                   1928:     } else { 
                   1929:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1930:     } 
                   1931:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   1932:     fu=(*f)(u); 
                   1933:     if (fu <= fx) { 
                   1934:       if (u >= x) a=x; else b=x; 
                   1935:       SHFT(v,w,x,u) 
1.183     brouard  1936:       SHFT(fv,fw,fx,fu) 
                   1937:     } else { 
                   1938:       if (u < x) a=u; else b=u; 
                   1939:       if (fu <= fw || w == x) { 
1.224     brouard  1940:                                v=w; 
                   1941:                                w=u; 
                   1942:                                fv=fw; 
                   1943:                                fw=fu; 
1.183     brouard  1944:       } else if (fu <= fv || v == x || v == w) { 
1.224     brouard  1945:                                v=u; 
                   1946:                                fv=fu; 
1.183     brouard  1947:       } 
                   1948:     } 
1.126     brouard  1949:   } 
                   1950:   nrerror("Too many iterations in brent"); 
                   1951:   *xmin=x; 
                   1952:   return fx; 
                   1953: } 
                   1954: 
                   1955: /****************** mnbrak ***********************/
                   1956: 
                   1957: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   1958:            double (*func)(double)) 
1.183     brouard  1959: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   1960: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   1961: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   1962: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   1963:    */
1.126     brouard  1964:   double ulim,u,r,q, dum;
                   1965:   double fu; 
1.187     brouard  1966: 
                   1967:   double scale=10.;
                   1968:   int iterscale=0;
                   1969: 
                   1970:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   1971:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   1972: 
                   1973: 
                   1974:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   1975:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   1976:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   1977:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   1978:   /* } */
                   1979: 
1.126     brouard  1980:   if (*fb > *fa) { 
                   1981:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  1982:     SHFT(dum,*fb,*fa,dum) 
                   1983:   } 
1.126     brouard  1984:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   1985:   *fc=(*func)(*cx); 
1.183     brouard  1986: #ifdef DEBUG
1.224     brouard  1987:   printf("mnbrak0 a=%lf *fa=%lf, b=%lf *fb=%lf, c=%lf *fc=%lf\n",*ax,*fa,*bx,*fb,*cx, *fc);
                   1988:   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  1989: #endif
1.224     brouard  1990:   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  1991:     r=(*bx-*ax)*(*fb-*fc); 
1.224     brouard  1992:     q=(*bx-*cx)*(*fb-*fa); /* What if fa=inf */
1.126     brouard  1993:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  1994:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   1995:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   1996:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  1997:       fu=(*func)(u); 
1.163     brouard  1998: #ifdef DEBUG
                   1999:       /* f(x)=A(x-u)**2+f(u) */
                   2000:       double A, fparabu; 
                   2001:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   2002:       fparabu= *fa - A*(*ax-u)*(*ax-u);
1.224     brouard  2003:       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);
                   2004:       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  2005:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   2006:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   2007:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   2008:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  2009: #endif 
1.184     brouard  2010: #ifdef MNBRAKORIGINAL
1.183     brouard  2011: #else
1.191     brouard  2012: /*       if (fu > *fc) { */
                   2013: /* #ifdef DEBUG */
                   2014: /*       printf("mnbrak4  fu > fc \n"); */
                   2015: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
                   2016: /* #endif */
                   2017: /*     /\* 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 *\\/  *\/ */
                   2018: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
                   2019: /*     dum=u; /\* Shifting c and u *\/ */
                   2020: /*     u = *cx; */
                   2021: /*     *cx = dum; */
                   2022: /*     dum = fu; */
                   2023: /*     fu = *fc; */
                   2024: /*     *fc =dum; */
                   2025: /*       } else { /\* end *\/ */
                   2026: /* #ifdef DEBUG */
                   2027: /*       printf("mnbrak3  fu < fc \n"); */
                   2028: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
                   2029: /* #endif */
                   2030: /*     dum=u; /\* Shifting c and u *\/ */
                   2031: /*     u = *cx; */
                   2032: /*     *cx = dum; */
                   2033: /*     dum = fu; */
                   2034: /*     fu = *fc; */
                   2035: /*     *fc =dum; */
                   2036: /*       } */
1.224     brouard  2037: #ifdef DEBUGMNBRAK
                   2038:                 double A, fparabu; 
                   2039:      A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   2040:      fparabu= *fa - A*(*ax-u)*(*ax-u);
                   2041:      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);
                   2042:      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  2043: #endif
1.191     brouard  2044:       dum=u; /* Shifting c and u */
                   2045:       u = *cx;
                   2046:       *cx = dum;
                   2047:       dum = fu;
                   2048:       fu = *fc;
                   2049:       *fc =dum;
1.183     brouard  2050: #endif
1.162     brouard  2051:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  2052: #ifdef DEBUG
1.224     brouard  2053:       printf("\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
                   2054:       fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
1.183     brouard  2055: #endif
1.126     brouard  2056:       fu=(*func)(u); 
                   2057:       if (fu < *fc) { 
1.183     brouard  2058: #ifdef DEBUG
1.224     brouard  2059:                                printf("\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   2060:                          fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   2061: #endif
                   2062:                          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
                   2063:                                SHFT(*fb,*fc,fu,(*func)(u)) 
                   2064: #ifdef DEBUG
                   2065:                                        printf("\nmnbrak2 shift GOLD c=%lf",*cx+GOLD*(*cx-*bx));
1.183     brouard  2066: #endif
                   2067:       } 
1.162     brouard  2068:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  2069: #ifdef DEBUG
1.224     brouard  2070:       printf("\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
                   2071:       fprintf(ficlog,"\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
1.183     brouard  2072: #endif
1.126     brouard  2073:       u=ulim; 
                   2074:       fu=(*func)(u); 
1.183     brouard  2075:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   2076: #ifdef DEBUG
1.224     brouard  2077:       printf("\nmnbrak2  u=%lf could be left to b=%lf (if r=%lf > q=%lf parabola has a maximum)\n",u,*bx,r,q);
                   2078:       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  2079: #endif
1.126     brouard  2080:       u=(*cx)+GOLD*(*cx-*bx); 
                   2081:       fu=(*func)(u); 
1.224     brouard  2082: #ifdef DEBUG
                   2083:       printf("\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   2084:       fprintf(ficlog,"\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   2085: #endif
1.183     brouard  2086:     } /* end tests */
1.126     brouard  2087:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  2088:     SHFT(*fa,*fb,*fc,fu) 
                   2089: #ifdef DEBUG
1.224     brouard  2090:       printf("\nmnbrak2 shift (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc);
                   2091:       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  2092: #endif
                   2093:   } /* 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  2094: } 
                   2095: 
                   2096: /*************** linmin ************************/
1.162     brouard  2097: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   2098: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   2099: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   2100: the value of func at the returned location p . This is actually all accomplished by calling the
                   2101: routines mnbrak and brent .*/
1.126     brouard  2102: int ncom; 
                   2103: double *pcom,*xicom;
                   2104: double (*nrfunc)(double []); 
                   2105:  
1.224     brouard  2106: #ifdef LINMINORIGINAL
1.126     brouard  2107: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
1.224     brouard  2108: #else
                   2109: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []), int *flat) 
                   2110: #endif
1.126     brouard  2111: { 
                   2112:   double brent(double ax, double bx, double cx, 
                   2113:               double (*f)(double), double tol, double *xmin); 
                   2114:   double f1dim(double x); 
                   2115:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   2116:              double *fc, double (*func)(double)); 
                   2117:   int j; 
                   2118:   double xx,xmin,bx,ax; 
                   2119:   double fx,fb,fa;
1.187     brouard  2120: 
1.203     brouard  2121: #ifdef LINMINORIGINAL
                   2122: #else
                   2123:   double scale=10., axs, xxs; /* Scale added for infinity */
                   2124: #endif
                   2125:   
1.126     brouard  2126:   ncom=n; 
                   2127:   pcom=vector(1,n); 
                   2128:   xicom=vector(1,n); 
                   2129:   nrfunc=func; 
                   2130:   for (j=1;j<=n;j++) { 
                   2131:     pcom[j]=p[j]; 
1.202     brouard  2132:     xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
1.126     brouard  2133:   } 
1.187     brouard  2134: 
1.203     brouard  2135: #ifdef LINMINORIGINAL
                   2136:   xx=1.;
                   2137: #else
                   2138:   axs=0.0;
                   2139:   xxs=1.;
                   2140:   do{
                   2141:     xx= xxs;
                   2142: #endif
1.187     brouard  2143:     ax=0.;
                   2144:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   2145:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   2146:     /* 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))   */
                   2147:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   2148:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   2149:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   2150:     /* 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  2151: #ifdef LINMINORIGINAL
                   2152: #else
                   2153:     if (fx != fx){
1.224     brouard  2154:                        xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                   2155:                        printf("|");
                   2156:                        fprintf(ficlog,"|");
1.203     brouard  2157: #ifdef DEBUGLINMIN
1.224     brouard  2158:                        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  2159: #endif
                   2160:     }
1.224     brouard  2161:   }while(fx != fx && xxs > 1.e-5);
1.203     brouard  2162: #endif
                   2163:   
1.191     brouard  2164: #ifdef DEBUGLINMIN
                   2165:   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  2166:   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  2167: #endif
1.224     brouard  2168: #ifdef LINMINORIGINAL
                   2169: #else
                   2170:        if(fb == fx){ /* Flat function in the direction */
                   2171:                xmin=xx;
                   2172:     *flat=1;
                   2173:        }else{
                   2174:     *flat=0;
                   2175: #endif
                   2176:                /*Flat mnbrak2 shift (*ax=0.000000000000, *fa=51626.272983130431), (*bx=-1.618034000000, *fb=51590.149499362531), (*cx=-4.236068025156, *fc=51590.149499362531) */
1.187     brouard  2177:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   2178:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   2179:   /* fmin = f(p[j] + xmin * xi[j]) */
                   2180:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   2181:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  2182: #ifdef DEBUG
1.224     brouard  2183:   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);
                   2184:   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);
                   2185: #endif
                   2186: #ifdef LINMINORIGINAL
                   2187: #else
                   2188:                        }
1.126     brouard  2189: #endif
1.191     brouard  2190: #ifdef DEBUGLINMIN
                   2191:   printf("linmin end ");
1.202     brouard  2192:   fprintf(ficlog,"linmin end ");
1.191     brouard  2193: #endif
1.126     brouard  2194:   for (j=1;j<=n;j++) { 
1.203     brouard  2195: #ifdef LINMINORIGINAL
                   2196:     xi[j] *= xmin; 
                   2197: #else
                   2198: #ifdef DEBUGLINMIN
                   2199:     if(xxs <1.0)
                   2200:       printf(" before xi[%d]=%12.8f", j,xi[j]);
                   2201: #endif
                   2202:     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) */
                   2203: #ifdef DEBUGLINMIN
                   2204:     if(xxs <1.0)
                   2205:       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 );
                   2206: #endif
                   2207: #endif
1.187     brouard  2208:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  2209:   } 
1.191     brouard  2210: #ifdef DEBUGLINMIN
1.203     brouard  2211:   printf("\n");
1.191     brouard  2212:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
1.202     brouard  2213:   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  2214:   for (j=1;j<=n;j++) { 
1.202     brouard  2215:     printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   2216:     fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   2217:     if(j % ncovmodel == 0){
1.191     brouard  2218:       printf("\n");
1.202     brouard  2219:       fprintf(ficlog,"\n");
                   2220:     }
1.191     brouard  2221:   }
1.203     brouard  2222: #else
1.191     brouard  2223: #endif
1.126     brouard  2224:   free_vector(xicom,1,n); 
                   2225:   free_vector(pcom,1,n); 
                   2226: } 
                   2227: 
                   2228: 
                   2229: /*************** powell ************************/
1.162     brouard  2230: /*
                   2231: Minimization of a function func of n variables. Input consists of an initial starting point
                   2232: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
                   2233: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
                   2234: such that failure to decrease by more than this amount on one iteration signals doneness. On
                   2235: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   2236: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   2237:  */
1.224     brouard  2238: #ifdef LINMINORIGINAL
                   2239: #else
                   2240:        int *flatdir; /* Function is vanishing in that direction */
1.225     brouard  2241:        int flat=0, flatd=0; /* Function is vanishing in that direction */
1.224     brouard  2242: #endif
1.126     brouard  2243: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   2244:            double (*func)(double [])) 
                   2245: { 
1.224     brouard  2246: #ifdef LINMINORIGINAL
                   2247:  void linmin(double p[], double xi[], int n, double *fret, 
1.126     brouard  2248:              double (*func)(double [])); 
1.224     brouard  2249: #else 
1.241     brouard  2250:  void linmin(double p[], double xi[], int n, double *fret,
                   2251:             double (*func)(double []),int *flat); 
1.224     brouard  2252: #endif
1.239     brouard  2253:  int i,ibig,j,jk,k; 
1.126     brouard  2254:   double del,t,*pt,*ptt,*xit;
1.181     brouard  2255:   double directest;
1.126     brouard  2256:   double fp,fptt;
                   2257:   double *xits;
                   2258:   int niterf, itmp;
1.224     brouard  2259: #ifdef LINMINORIGINAL
                   2260: #else
                   2261: 
                   2262:   flatdir=ivector(1,n); 
                   2263:   for (j=1;j<=n;j++) flatdir[j]=0; 
                   2264: #endif
1.126     brouard  2265: 
                   2266:   pt=vector(1,n); 
                   2267:   ptt=vector(1,n); 
                   2268:   xit=vector(1,n); 
                   2269:   xits=vector(1,n); 
                   2270:   *fret=(*func)(p); 
                   2271:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.202     brouard  2272:   rcurr_time = time(NULL);  
1.126     brouard  2273:   for (*iter=1;;++(*iter)) { 
1.187     brouard  2274:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  2275:     ibig=0; 
                   2276:     del=0.0; 
1.157     brouard  2277:     rlast_time=rcurr_time;
                   2278:     /* (void) gettimeofday(&curr_time,&tzp); */
                   2279:     rcurr_time = time(NULL);  
                   2280:     curr_time = *localtime(&rcurr_time);
                   2281:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   2282:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   2283: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.192     brouard  2284:     for (i=1;i<=n;i++) {
1.126     brouard  2285:       fprintf(ficrespow," %.12lf", p[i]);
                   2286:     }
1.239     brouard  2287:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   2288:     printf("\n#model=  1      +     age ");
                   2289:     fprintf(ficlog,"\n#model=  1      +     age ");
                   2290:     if(nagesqr==1){
1.241     brouard  2291:        printf("  + age*age  ");
                   2292:        fprintf(ficlog,"  + age*age  ");
1.239     brouard  2293:     }
                   2294:     for(j=1;j <=ncovmodel-2;j++){
                   2295:       if(Typevar[j]==0) {
                   2296:        printf("  +      V%d  ",Tvar[j]);
                   2297:        fprintf(ficlog,"  +      V%d  ",Tvar[j]);
                   2298:       }else if(Typevar[j]==1) {
                   2299:        printf("  +    V%d*age ",Tvar[j]);
                   2300:        fprintf(ficlog,"  +    V%d*age ",Tvar[j]);
                   2301:       }else if(Typevar[j]==2) {
                   2302:        printf("  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   2303:        fprintf(ficlog,"  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   2304:       }
                   2305:     }
1.126     brouard  2306:     printf("\n");
1.239     brouard  2307: /*     printf("12   47.0114589    0.0154322   33.2424412    0.3279905    2.3731903  */
                   2308: /* 13  -21.5392400    0.1118147    1.2680506    1.2973408   -1.0663662  */
1.126     brouard  2309:     fprintf(ficlog,"\n");
1.239     brouard  2310:     for(i=1,jk=1; i <=nlstate; i++){
                   2311:       for(k=1; k <=(nlstate+ndeath); k++){
                   2312:        if (k != i) {
                   2313:          printf("%d%d ",i,k);
                   2314:          fprintf(ficlog,"%d%d ",i,k);
                   2315:          for(j=1; j <=ncovmodel; j++){
                   2316:            printf("%12.7f ",p[jk]);
                   2317:            fprintf(ficlog,"%12.7f ",p[jk]);
                   2318:            jk++; 
                   2319:          }
                   2320:          printf("\n");
                   2321:          fprintf(ficlog,"\n");
                   2322:        }
                   2323:       }
                   2324:     }
1.241     brouard  2325:     if(*iter <=3 && *iter >1){
1.157     brouard  2326:       tml = *localtime(&rcurr_time);
                   2327:       strcpy(strcurr,asctime(&tml));
                   2328:       rforecast_time=rcurr_time; 
1.126     brouard  2329:       itmp = strlen(strcurr);
                   2330:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
1.241     brouard  2331:        strcurr[itmp-1]='\0';
1.162     brouard  2332:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  2333:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  2334:       for(niterf=10;niterf<=30;niterf+=10){
1.241     brouard  2335:        rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   2336:        forecast_time = *localtime(&rforecast_time);
                   2337:        strcpy(strfor,asctime(&forecast_time));
                   2338:        itmp = strlen(strfor);
                   2339:        if(strfor[itmp-1]=='\n')
                   2340:          strfor[itmp-1]='\0';
                   2341:        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);
                   2342:        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  2343:       }
                   2344:     }
1.187     brouard  2345:     for (i=1;i<=n;i++) { /* For each direction i */
                   2346:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  2347:       fptt=(*fret); 
                   2348: #ifdef DEBUG
1.203     brouard  2349:       printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   2350:       fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  2351: #endif
1.203     brouard  2352:       printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  2353:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.224     brouard  2354: #ifdef LINMINORIGINAL
1.188     brouard  2355:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
1.224     brouard  2356: #else
                   2357:       linmin(p,xit,n,fret,func,&flat); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   2358:                        flatdir[i]=flat; /* Function is vanishing in that direction i */
                   2359: #endif
                   2360:                        /* Outputs are fret(new point p) p is updated and xit rescaled */
1.188     brouard  2361:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
1.224     brouard  2362:                                /* because that direction will be replaced unless the gain del is small */
                   2363:                                /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   2364:                                /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   2365:                                /* with the new direction. */
                   2366:                                del=fabs(fptt-(*fret)); 
                   2367:                                ibig=i; 
1.126     brouard  2368:       } 
                   2369: #ifdef DEBUG
                   2370:       printf("%d %.12e",i,(*fret));
                   2371:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   2372:       for (j=1;j<=n;j++) {
1.224     brouard  2373:                                xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   2374:                                printf(" x(%d)=%.12e",j,xit[j]);
                   2375:                                fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
1.126     brouard  2376:       }
                   2377:       for(j=1;j<=n;j++) {
1.225     brouard  2378:                                printf(" p(%d)=%.12e",j,p[j]);
                   2379:                                fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  2380:       }
                   2381:       printf("\n");
                   2382:       fprintf(ficlog,"\n");
                   2383: #endif
1.187     brouard  2384:     } /* end loop on each direction i */
                   2385:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  2386:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  2387:     /* New value of last point Pn is not computed, P(n-1) */
1.224     brouard  2388:       for(j=1;j<=n;j++) {
1.225     brouard  2389:                                if(flatdir[j] >0){
                   2390:                                        printf(" p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2391:                                        fprintf(ficlog," p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2392:                                }
                   2393:                                /* printf("\n"); */
                   2394:                                /* fprintf(ficlog,"\n"); */
                   2395:                        }
1.243     brouard  2396:     /* if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /\* Did we reach enough precision? *\/ */
                   2397:     if (2.0*fabs(fp-(*fret)) <= ftol) { /* Did we reach enough precision? */
1.188     brouard  2398:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   2399:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   2400:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   2401:       /* decreased of more than 3.84  */
                   2402:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   2403:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   2404:       /* By adding 10 parameters more the gain should be 18.31 */
1.224     brouard  2405:                        
1.188     brouard  2406:       /* Starting the program with initial values given by a former maximization will simply change */
                   2407:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   2408:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   2409:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  2410: #ifdef DEBUG
                   2411:       int k[2],l;
                   2412:       k[0]=1;
                   2413:       k[1]=-1;
                   2414:       printf("Max: %.12e",(*func)(p));
                   2415:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   2416:       for (j=1;j<=n;j++) {
                   2417:        printf(" %.12e",p[j]);
                   2418:        fprintf(ficlog," %.12e",p[j]);
                   2419:       }
                   2420:       printf("\n");
                   2421:       fprintf(ficlog,"\n");
                   2422:       for(l=0;l<=1;l++) {
                   2423:        for (j=1;j<=n;j++) {
                   2424:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   2425:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2426:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2427:        }
                   2428:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2429:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2430:       }
                   2431: #endif
                   2432: 
1.224     brouard  2433: #ifdef LINMINORIGINAL
                   2434: #else
                   2435:       free_ivector(flatdir,1,n); 
                   2436: #endif
1.126     brouard  2437:       free_vector(xit,1,n); 
                   2438:       free_vector(xits,1,n); 
                   2439:       free_vector(ptt,1,n); 
                   2440:       free_vector(pt,1,n); 
                   2441:       return; 
1.192     brouard  2442:     } /* enough precision */ 
1.240     brouard  2443:     if (*iter == ITMAX*n) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  2444:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  2445:       ptt[j]=2.0*p[j]-pt[j]; 
                   2446:       xit[j]=p[j]-pt[j]; 
                   2447:       pt[j]=p[j]; 
                   2448:     } 
1.181     brouard  2449:     fptt=(*func)(ptt); /* f_3 */
1.224     brouard  2450: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
                   2451:                if (*iter <=4) {
1.225     brouard  2452: #else
                   2453: #endif
1.224     brouard  2454: #ifdef POWELLNOF3INFF1TEST    /* skips test F3 <F1 */
1.192     brouard  2455: #else
1.161     brouard  2456:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.192     brouard  2457: #endif
1.162     brouard  2458:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  2459:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  2460:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   2461:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   2462:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.224     brouard  2463:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del or directest <0 */
                   2464:       /* also  lamda^2=(f1-f2)^2/mu² is a parasite solution of powell */
                   2465:       /* For powell, inclusion of this average direction is only if t(del)<0 or del inbetween mu^2 and lambda^2 */
1.161     brouard  2466:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.224     brouard  2467:       /*  Even if f3 <f1, directest can be negative and t >0 */
                   2468:       /* mu² and del² are equal when f3=f1 */
                   2469:                        /* f3 < f1 : mu² < del <= lambda^2 both test are equivalent */
                   2470:                        /* f3 < f1 : mu² < lambda^2 < del then directtest is negative and powell t is positive */
                   2471:                        /* f3 > f1 : lambda² < mu^2 < del then t is negative and directest >0  */
                   2472:                        /* f3 > f1 : lambda² < del < mu^2 then t is positive and directest >0  */
1.183     brouard  2473: #ifdef NRCORIGINAL
                   2474:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   2475: #else
                   2476:       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  2477:       t= t- del*SQR(fp-fptt);
1.183     brouard  2478: #endif
1.202     brouard  2479:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
1.161     brouard  2480: #ifdef DEBUG
1.181     brouard  2481:       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);
                   2482:       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  2483:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2484:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2485:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2486:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2487:       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);
                   2488:       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);
                   2489: #endif
1.183     brouard  2490: #ifdef POWELLORIGINAL
                   2491:       if (t < 0.0) { /* Then we use it for new direction */
                   2492: #else
1.182     brouard  2493:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.224     brouard  2494:                                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  2495:         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  2496:         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  2497:         fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   2498:       } 
1.181     brouard  2499:       if (directest < 0.0) { /* Then we use it for new direction */
                   2500: #endif
1.191     brouard  2501: #ifdef DEBUGLINMIN
1.234     brouard  2502:        printf("Before linmin in direction P%d-P0\n",n);
                   2503:        for (j=1;j<=n;j++) {
                   2504:          printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2505:          fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2506:          if(j % ncovmodel == 0){
                   2507:            printf("\n");
                   2508:            fprintf(ficlog,"\n");
                   2509:          }
                   2510:        }
1.224     brouard  2511: #endif
                   2512: #ifdef LINMINORIGINAL
1.234     brouard  2513:        linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
1.224     brouard  2514: #else
1.234     brouard  2515:        linmin(p,xit,n,fret,func,&flat); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                   2516:        flatdir[i]=flat; /* Function is vanishing in that direction i */
1.191     brouard  2517: #endif
1.234     brouard  2518:        
1.191     brouard  2519: #ifdef DEBUGLINMIN
1.234     brouard  2520:        for (j=1;j<=n;j++) { 
                   2521:          printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2522:          fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2523:          if(j % ncovmodel == 0){
                   2524:            printf("\n");
                   2525:            fprintf(ficlog,"\n");
                   2526:          }
                   2527:        }
1.224     brouard  2528: #endif
1.234     brouard  2529:        for (j=1;j<=n;j++) { 
                   2530:          xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   2531:          xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
                   2532:        }
1.224     brouard  2533: #ifdef LINMINORIGINAL
                   2534: #else
1.234     brouard  2535:        for (j=1, flatd=0;j<=n;j++) {
                   2536:          if(flatdir[j]>0)
                   2537:            flatd++;
                   2538:        }
                   2539:        if(flatd >0){
1.255     brouard  2540:          printf("%d flat directions: ",flatd);
                   2541:          fprintf(ficlog,"%d flat directions :",flatd);
1.234     brouard  2542:          for (j=1;j<=n;j++) { 
                   2543:            if(flatdir[j]>0){
                   2544:              printf("%d ",j);
                   2545:              fprintf(ficlog,"%d ",j);
                   2546:            }
                   2547:          }
                   2548:          printf("\n");
                   2549:          fprintf(ficlog,"\n");
                   2550:        }
1.191     brouard  2551: #endif
1.234     brouard  2552:        printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2553:        fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2554:        
1.126     brouard  2555: #ifdef DEBUG
1.234     brouard  2556:        printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2557:        fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2558:        for(j=1;j<=n;j++){
                   2559:          printf(" %lf",xit[j]);
                   2560:          fprintf(ficlog," %lf",xit[j]);
                   2561:        }
                   2562:        printf("\n");
                   2563:        fprintf(ficlog,"\n");
1.126     brouard  2564: #endif
1.192     brouard  2565:       } /* end of t or directest negative */
1.224     brouard  2566: #ifdef POWELLNOF3INFF1TEST
1.192     brouard  2567: #else
1.234     brouard  2568:       } /* end if (fptt < fp)  */
1.192     brouard  2569: #endif
1.225     brouard  2570: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
1.234     brouard  2571:     } /*NODIRECTIONCHANGEDUNTILNITER  No change in drections until some iterations are done */
1.225     brouard  2572: #else
1.224     brouard  2573: #endif
1.234     brouard  2574:                } /* loop iteration */ 
1.126     brouard  2575: } 
1.234     brouard  2576:   
1.126     brouard  2577: /**** Prevalence limit (stable or period prevalence)  ****************/
1.234     brouard  2578:   
1.235     brouard  2579:   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  2580:   {
1.279     brouard  2581:     /**< Computes the prevalence limit in each live state at age x and for covariate combination ij 
                   2582:      *   (and selected quantitative values in nres)
                   2583:      *  by left multiplying the unit
                   2584:      *  matrix by transitions matrix until convergence is reached with precision ftolpl 
                   2585:      * Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I
                   2586:      * Wx is row vector: population in state 1, population in state 2, population dead
                   2587:      * or prevalence in state 1, prevalence in state 2, 0
                   2588:      * newm is the matrix after multiplications, its rows are identical at a factor.
                   2589:      * Inputs are the parameter, age, a tolerance for the prevalence limit ftolpl.
                   2590:      * Output is prlim.
                   2591:      * Initial matrix pimij 
                   2592:      */
1.206     brouard  2593:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2594:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2595:   /*  0,                   0                  , 1} */
                   2596:   /*
                   2597:    * and after some iteration: */
                   2598:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2599:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2600:   /*  0,                   0                  , 1} */
                   2601:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2602:   /* {0.51571254859325999, 0.4842874514067399, */
                   2603:   /*  0.51326036147820708, 0.48673963852179264} */
                   2604:   /* If we start from prlim again, prlim tends to a constant matrix */
1.234     brouard  2605:     
1.126     brouard  2606:   int i, ii,j,k;
1.209     brouard  2607:   double *min, *max, *meandiff, maxmax,sumnew=0.;
1.145     brouard  2608:   /* double **matprod2(); */ /* test */
1.218     brouard  2609:   double **out, cov[NCOVMAX+1], **pmij(); /* **pmmij is a global variable feeded with oldms etc */
1.126     brouard  2610:   double **newm;
1.209     brouard  2611:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
1.203     brouard  2612:   int ncvloop=0;
1.288     brouard  2613:   int first=0;
1.169     brouard  2614:   
1.209     brouard  2615:   min=vector(1,nlstate);
                   2616:   max=vector(1,nlstate);
                   2617:   meandiff=vector(1,nlstate);
                   2618: 
1.218     brouard  2619:        /* Starting with matrix unity */
1.126     brouard  2620:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2621:     for (j=1;j<=nlstate+ndeath;j++){
                   2622:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2623:     }
1.169     brouard  2624:   
                   2625:   cov[1]=1.;
                   2626:   
                   2627:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.202     brouard  2628:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.126     brouard  2629:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
1.202     brouard  2630:     ncvloop++;
1.126     brouard  2631:     newm=savm;
                   2632:     /* Covariates have to be included here again */
1.138     brouard  2633:     cov[2]=agefin;
1.187     brouard  2634:     if(nagesqr==1)
                   2635:       cov[3]= agefin*agefin;;
1.234     brouard  2636:     for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   2637:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   2638:       cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
1.235     brouard  2639:       /* 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  2640:     }
                   2641:     for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   2642:                        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
1.235     brouard  2643:       cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   2644:       /* 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  2645:     }
1.237     brouard  2646:     for (k=1; k<=cptcovage;k++){  /* For product with age */
1.234     brouard  2647:       if(Dummy[Tvar[Tage[k]]]){
                   2648:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2649:       } else{
1.235     brouard  2650:        cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
1.234     brouard  2651:       }
1.235     brouard  2652:       /* 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  2653:     }
1.237     brouard  2654:     for (k=1; k<=cptcovprod;k++){ /* For product without age */
1.235     brouard  2655:       /* 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  2656:       if(Dummy[Tvard[k][1]==0]){
                   2657:        if(Dummy[Tvard[k][2]==0]){
                   2658:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2659:        }else{
                   2660:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k];
                   2661:        }
                   2662:       }else{
                   2663:        if(Dummy[Tvard[k][2]==0]){
                   2664:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]];
                   2665:        }else{
                   2666:          cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]];
                   2667:        }
                   2668:       }
1.234     brouard  2669:     }
1.138     brouard  2670:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2671:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2672:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  2673:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2674:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2675:                /* age and covariate values of ij are in 'cov' */
1.142     brouard  2676:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  2677:     
1.126     brouard  2678:     savm=oldm;
                   2679:     oldm=newm;
1.209     brouard  2680: 
                   2681:     for(j=1; j<=nlstate; j++){
                   2682:       max[j]=0.;
                   2683:       min[j]=1.;
                   2684:     }
                   2685:     for(i=1;i<=nlstate;i++){
                   2686:       sumnew=0;
                   2687:       for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   2688:       for(j=1; j<=nlstate; j++){ 
                   2689:        prlim[i][j]= newm[i][j]/(1-sumnew);
                   2690:        max[j]=FMAX(max[j],prlim[i][j]);
                   2691:        min[j]=FMIN(min[j],prlim[i][j]);
                   2692:       }
                   2693:     }
                   2694: 
1.126     brouard  2695:     maxmax=0.;
1.209     brouard  2696:     for(j=1; j<=nlstate; j++){
                   2697:       meandiff[j]=(max[j]-min[j])/(max[j]+min[j])*2.; /* mean difference for each column */
                   2698:       maxmax=FMAX(maxmax,meandiff[j]);
                   2699:       /* 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  2700:     } /* j loop */
1.203     brouard  2701:     *ncvyear= (int)age- (int)agefin;
1.208     brouard  2702:     /* 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  2703:     if(maxmax < ftolpl){
1.209     brouard  2704:       /* printf("maxmax=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
                   2705:       free_vector(min,1,nlstate);
                   2706:       free_vector(max,1,nlstate);
                   2707:       free_vector(meandiff,1,nlstate);
1.126     brouard  2708:       return prlim;
                   2709:     }
1.288     brouard  2710:   } /* agefin loop */
1.208     brouard  2711:     /* After some age loop it doesn't converge */
1.288     brouard  2712:   if(!first){
                   2713:     first=1;
                   2714:     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);
                   2715:   }
                   2716:   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);
                   2717: 
1.209     brouard  2718:   /* 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); */
                   2719:   free_vector(min,1,nlstate);
                   2720:   free_vector(max,1,nlstate);
                   2721:   free_vector(meandiff,1,nlstate);
1.208     brouard  2722:   
1.169     brouard  2723:   return prlim; /* should not reach here */
1.126     brouard  2724: }
                   2725: 
1.217     brouard  2726: 
                   2727:  /**** Back Prevalence limit (stable or period prevalence)  ****************/
                   2728: 
1.218     brouard  2729:  /* 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) */
                   2730:  /* 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  2731:   double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ftolpl, int *ncvyear, int ij, int nres)
1.217     brouard  2732: {
1.264     brouard  2733:   /* 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  2734:      matrix by transitions matrix until convergence is reached with precision ftolpl */
                   2735:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2736:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2737:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2738:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2739:   /* Initial matrix pimij */
                   2740:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2741:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2742:   /*  0,                   0                  , 1} */
                   2743:   /*
                   2744:    * and after some iteration: */
                   2745:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2746:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2747:   /*  0,                   0                  , 1} */
                   2748:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2749:   /* {0.51571254859325999, 0.4842874514067399, */
                   2750:   /*  0.51326036147820708, 0.48673963852179264} */
                   2751:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2752: 
                   2753:   int i, ii,j,k;
1.247     brouard  2754:   int first=0;
1.217     brouard  2755:   double *min, *max, *meandiff, maxmax,sumnew=0.;
                   2756:   /* double **matprod2(); */ /* test */
                   2757:   double **out, cov[NCOVMAX+1], **bmij();
                   2758:   double **newm;
1.218     brouard  2759:   double        **dnewm, **doldm, **dsavm;  /* for use */
                   2760:   double        **oldm, **savm;  /* for use */
                   2761: 
1.217     brouard  2762:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
                   2763:   int ncvloop=0;
                   2764:   
                   2765:   min=vector(1,nlstate);
                   2766:   max=vector(1,nlstate);
                   2767:   meandiff=vector(1,nlstate);
                   2768: 
1.266     brouard  2769:   dnewm=ddnewms; doldm=ddoldms; dsavm=ddsavms;
                   2770:   oldm=oldms; savm=savms;
                   2771:   
                   2772:   /* Starting with matrix unity */
                   2773:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2774:     for (j=1;j<=nlstate+ndeath;j++){
1.217     brouard  2775:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2776:     }
                   2777:   
                   2778:   cov[1]=1.;
                   2779:   
                   2780:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2781:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.218     brouard  2782:   /* for(agefin=age+stepm/YEARM; agefin<=age+delaymax; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
1.288     brouard  2783:   /* for(agefin=age; agefin<AGESUP; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
                   2784:   for(agefin=age; agefin<FMIN(AGESUP,age+delaymax); agefin=agefin+stepm/YEARM){ /* A changer en age */
1.217     brouard  2785:     ncvloop++;
1.218     brouard  2786:     newm=savm; /* oldm should be kept from previous iteration or unity at start */
                   2787:                /* newm points to the allocated table savm passed by the function it can be written, savm could be reallocated */
1.217     brouard  2788:     /* Covariates have to be included here again */
                   2789:     cov[2]=agefin;
                   2790:     if(nagesqr==1)
                   2791:       cov[3]= agefin*agefin;;
1.242     brouard  2792:     for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   2793:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   2794:       cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
1.264     brouard  2795:       /* 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  2796:     }
                   2797:     /* for (k=1; k<=cptcovn;k++) { */
                   2798:     /*   /\* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; *\/ */
                   2799:     /*   cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   2800:     /*   /\* 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])]); *\/ */
                   2801:     /* } */
                   2802:     for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   2803:                        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   2804:       cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   2805:       /* 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]); */
                   2806:     }
                   2807:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2]; */
                   2808:     /* for (k=1; k<=cptcovprod;k++) /\* Useless *\/ */
                   2809:     /*   /\* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; *\/ */
                   2810:     /*   cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)]; */
                   2811:     for (k=1; k<=cptcovage;k++){  /* For product with age */
                   2812:       if(Dummy[Tvar[Tage[k]]]){
                   2813:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2814:       } else{
                   2815:        cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   2816:       }
                   2817:       /* 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]); */
                   2818:     }
                   2819:     for (k=1; k<=cptcovprod;k++){ /* For product without age */
                   2820:       /* 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]); */
                   2821:       if(Dummy[Tvard[k][1]==0]){
                   2822:        if(Dummy[Tvard[k][2]==0]){
                   2823:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2824:        }else{
                   2825:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k];
                   2826:        }
                   2827:       }else{
                   2828:        if(Dummy[Tvard[k][2]==0]){
                   2829:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]];
                   2830:        }else{
                   2831:          cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]];
                   2832:        }
                   2833:       }
1.217     brouard  2834:     }
                   2835:     
                   2836:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2837:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2838:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
                   2839:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2840:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2841:                /* ij should be linked to the correct index of cov */
                   2842:                /* age and covariate values ij are in 'cov', but we need to pass
                   2843:                 * ij for the observed prevalence at age and status and covariate
                   2844:                 * number:  prevacurrent[(int)agefin][ii][ij]
                   2845:                 */
                   2846:     /* 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 *\/ */
                   2847:     /* 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 *\/ */
                   2848:     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  2849:     /* if((int)age == 86 || (int)age == 87){ */
1.266     brouard  2850:     /*   printf(" Backward prevalim age=%d agefin=%d \n", (int) age, (int) agefin); */
                   2851:     /*   for(i=1; i<=nlstate+ndeath; i++) { */
                   2852:     /*         printf("%d newm= ",i); */
                   2853:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2854:     /*           printf("%f ",newm[i][j]); */
                   2855:     /*         } */
                   2856:     /*         printf("oldm * "); */
                   2857:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2858:     /*           printf("%f ",oldm[i][j]); */
                   2859:     /*         } */
1.268     brouard  2860:     /*         printf(" bmmij "); */
1.266     brouard  2861:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2862:     /*           printf("%f ",pmmij[i][j]); */
                   2863:     /*         } */
                   2864:     /*         printf("\n"); */
                   2865:     /*   } */
                   2866:     /* } */
1.217     brouard  2867:     savm=oldm;
                   2868:     oldm=newm;
1.266     brouard  2869: 
1.217     brouard  2870:     for(j=1; j<=nlstate; j++){
                   2871:       max[j]=0.;
                   2872:       min[j]=1.;
                   2873:     }
                   2874:     for(j=1; j<=nlstate; j++){ 
                   2875:       for(i=1;i<=nlstate;i++){
1.234     brouard  2876:        /* bprlim[i][j]= newm[i][j]/(1-sumnew); */
                   2877:        bprlim[i][j]= newm[i][j];
                   2878:        max[i]=FMAX(max[i],bprlim[i][j]); /* Max in line */
                   2879:        min[i]=FMIN(min[i],bprlim[i][j]);
1.217     brouard  2880:       }
                   2881:     }
1.218     brouard  2882:                
1.217     brouard  2883:     maxmax=0.;
                   2884:     for(i=1; i<=nlstate; i++){
                   2885:       meandiff[i]=(max[i]-min[i])/(max[i]+min[i])*2.; /* mean difference for each column */
                   2886:       maxmax=FMAX(maxmax,meandiff[i]);
                   2887:       /* 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  2888:     } /* i loop */
1.217     brouard  2889:     *ncvyear= -( (int)age- (int)agefin);
1.268     brouard  2890:     /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  2891:     if(maxmax < ftolpl){
1.220     brouard  2892:       /* printf("OK Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  2893:       free_vector(min,1,nlstate);
                   2894:       free_vector(max,1,nlstate);
                   2895:       free_vector(meandiff,1,nlstate);
                   2896:       return bprlim;
                   2897:     }
1.288     brouard  2898:   } /* agefin loop */
1.217     brouard  2899:     /* After some age loop it doesn't converge */
1.288     brouard  2900:   if(!first){
1.247     brouard  2901:     first=1;
                   2902:     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\
                   2903: 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);
                   2904:   }
                   2905:   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  2906: 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);
                   2907:   /* 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); */
                   2908:   free_vector(min,1,nlstate);
                   2909:   free_vector(max,1,nlstate);
                   2910:   free_vector(meandiff,1,nlstate);
                   2911:   
                   2912:   return bprlim; /* should not reach here */
                   2913: }
                   2914: 
1.126     brouard  2915: /*************** transition probabilities ***************/ 
                   2916: 
                   2917: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   2918: {
1.138     brouard  2919:   /* According to parameters values stored in x and the covariate's values stored in cov,
1.266     brouard  2920:      computes the probability to be observed in state j (after stepm years) being in state i by appying the
1.138     brouard  2921:      model to the ncovmodel covariates (including constant and age).
                   2922:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2923:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2924:      ncth covariate in the global vector x is given by the formula:
                   2925:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2926:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2927:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2928:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
1.266     brouard  2929:      Outputs ps[i][j] or probability to be observed in j being in i according to
1.138     brouard  2930:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
1.266     brouard  2931:      Sum on j ps[i][j] should equal to 1.
1.138     brouard  2932:   */
                   2933:   double s1, lnpijopii;
1.126     brouard  2934:   /*double t34;*/
1.164     brouard  2935:   int i,j, nc, ii, jj;
1.126     brouard  2936: 
1.223     brouard  2937:   for(i=1; i<= nlstate; i++){
                   2938:     for(j=1; j<i;j++){
                   2939:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2940:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   2941:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   2942:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2943:       }
                   2944:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2945:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2946:     }
                   2947:     for(j=i+1; j<=nlstate+ndeath;j++){
                   2948:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2949:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   2950:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   2951:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   2952:       }
                   2953:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2954:     }
                   2955:   }
1.218     brouard  2956:   
1.223     brouard  2957:   for(i=1; i<= nlstate; i++){
                   2958:     s1=0;
                   2959:     for(j=1; j<i; j++){
                   2960:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2961:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2962:     }
                   2963:     for(j=i+1; j<=nlstate+ndeath; j++){
                   2964:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2965:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2966:     }
                   2967:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   2968:     ps[i][i]=1./(s1+1.);
                   2969:     /* Computing other pijs */
                   2970:     for(j=1; j<i; j++)
                   2971:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2972:     for(j=i+1; j<=nlstate+ndeath; j++)
                   2973:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2974:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2975:   } /* end i */
1.218     brouard  2976:   
1.223     brouard  2977:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   2978:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   2979:       ps[ii][jj]=0;
                   2980:       ps[ii][ii]=1;
                   2981:     }
                   2982:   }
1.294     brouard  2983: 
                   2984: 
1.223     brouard  2985:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   2986:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   2987:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   2988:   /*   } */
                   2989:   /*   printf("\n "); */
                   2990:   /* } */
                   2991:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   2992:   /*
                   2993:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
1.218     brouard  2994:                goto end;*/
1.266     brouard  2995:   return ps; /* Pointer is unchanged since its call */
1.126     brouard  2996: }
                   2997: 
1.218     brouard  2998: /*************** backward transition probabilities ***************/ 
                   2999: 
                   3000:  /* 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 ) */
                   3001: /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ***dnewm, double **doldm, double **dsavm, int ij ) */
                   3002:  double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, int ij )
                   3003: {
1.266     brouard  3004:   /* Computes the backward probability at age agefin and covariate combination ij. In fact cov is already filled and x too.
                   3005:    * 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  3006:    */
1.218     brouard  3007:   int i, ii, j,k;
1.222     brouard  3008:   
                   3009:   double **out, **pmij();
                   3010:   double sumnew=0.;
1.218     brouard  3011:   double agefin;
1.292     brouard  3012:   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  3013:   double **dnewm, **dsavm, **doldm;
                   3014:   double **bbmij;
                   3015:   
1.218     brouard  3016:   doldm=ddoldms; /* global pointers */
1.222     brouard  3017:   dnewm=ddnewms;
                   3018:   dsavm=ddsavms;
                   3019:   
                   3020:   agefin=cov[2];
1.268     brouard  3021:   /* Bx = Diag(w_x) P_x Diag(Sum_i w^i_x p^ij_x */
1.222     brouard  3022:   /* bmij *//* age is cov[2], ij is included in cov, but we need for
1.266     brouard  3023:      the observed prevalence (with this covariate ij) at beginning of transition */
                   3024:   /* dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
1.268     brouard  3025: 
                   3026:   /* P_x */
1.266     brouard  3027:   pmmij=pmij(pmmij,cov,ncovmodel,x,nlstate); /*This is forward probability from agefin to agefin + stepm */
1.268     brouard  3028:   /* outputs pmmij which is a stochastic matrix in row */
                   3029: 
                   3030:   /* Diag(w_x) */
1.292     brouard  3031:   /* Rescaling the cross-sectional prevalence: Problem with prevacurrent which can be zero */
1.268     brouard  3032:   sumnew=0.;
1.269     brouard  3033:   /*for (ii=1;ii<=nlstate+ndeath;ii++){*/
1.268     brouard  3034:   for (ii=1;ii<=nlstate;ii++){ /* Only on live states */
1.269     brouard  3035:     /* printf(" agefin=%d, ii=%d, ij=%d, prev=%f\n",(int)agefin,ii, ij, prevacurrent[(int)agefin][ii][ij]);  */
1.268     brouard  3036:     sumnew+=prevacurrent[(int)agefin][ii][ij];
                   3037:   }
                   3038:   if(sumnew >0.01){  /* At least some value in the prevalence */
                   3039:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   3040:       for (j=1;j<=nlstate+ndeath;j++)
1.269     brouard  3041:        doldm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij]/sumnew : 0.0);
1.268     brouard  3042:     }
                   3043:   }else{
                   3044:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   3045:       for (j=1;j<=nlstate+ndeath;j++)
                   3046:       doldm[ii][j]=(ii==j ? 1./nlstate : 0.0);
                   3047:     }
                   3048:     /* if(sumnew <0.9){ */
                   3049:     /*   printf("Problem internal bmij B: sum on i wi <0.9: j=%d, sum_i wi=%lf,agefin=%d\n",j,sumnew, (int)agefin); */
                   3050:     /* } */
                   3051:   }
                   3052:   k3=0.0;  /* We put the last diagonal to 0 */
                   3053:   for (ii=nlstate+1;ii<=nlstate+ndeath;ii++){
                   3054:       doldm[ii][ii]= k3;
                   3055:   }
                   3056:   /* End doldm, At the end doldm is diag[(w_i)] */
                   3057:   
1.292     brouard  3058:   /* Left product of this diag matrix by pmmij=Px (dnewm=dsavm*doldm): diag[(w_i)*Px */
                   3059:   bbmij=matprod2(dnewm, doldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, pmmij); /* was a Bug Valgrind */
1.268     brouard  3060: 
1.292     brouard  3061:   /* Diag(Sum_i w^i_x p^ij_x, should be the prevalence at age x+stepm */
1.268     brouard  3062:   /* 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  3063:   for (j=1;j<=nlstate+ndeath;j++){
1.268     brouard  3064:     sumnew=0.;
1.222     brouard  3065:     for (ii=1;ii<=nlstate;ii++){
1.266     brouard  3066:       /* sumnew+=dsavm[ii][j]*prevacurrent[(int)agefin][ii][ij]; */
1.268     brouard  3067:       sumnew+=pmmij[ii][j]*doldm[ii][ii]; /* Yes prevalence at beginning of transition */
1.222     brouard  3068:     } /* sumnew is (N11+N21)/N..= N.1/N.. = sum on i of w_i pij */
1.268     brouard  3069:     for (ii=1;ii<=nlstate+ndeath;ii++){
1.222     brouard  3070:        /* if(agefin >= agemaxpar && agefin <= agemaxpar+stepm/YEARM){ */
1.268     brouard  3071:        /*      dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
1.222     brouard  3072:        /* }else if(agefin >= agemaxpar+stepm/YEARM){ */
1.268     brouard  3073:        /*      dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
1.222     brouard  3074:        /* }else */
1.268     brouard  3075:       dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0);
                   3076:     } /*End ii */
                   3077:   } /* 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 */
                   3078: 
1.292     brouard  3079:   ps=matprod2(ps, dnewm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dsavm); /* was a Bug Valgrind */
1.268     brouard  3080:   /* ps is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */
1.222     brouard  3081:   /* end bmij */
1.266     brouard  3082:   return ps; /*pointer is unchanged */
1.218     brouard  3083: }
1.217     brouard  3084: /*************** transition probabilities ***************/ 
                   3085: 
1.218     brouard  3086: double **bpmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
1.217     brouard  3087: {
                   3088:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   3089:      computes the probability to be observed in state j being in state i by appying the
                   3090:      model to the ncovmodel covariates (including constant and age).
                   3091:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   3092:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   3093:      ncth covariate in the global vector x is given by the formula:
                   3094:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   3095:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   3096:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   3097:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   3098:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   3099:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   3100:   */
                   3101:   double s1, lnpijopii;
                   3102:   /*double t34;*/
                   3103:   int i,j, nc, ii, jj;
                   3104: 
1.234     brouard  3105:   for(i=1; i<= nlstate; i++){
                   3106:     for(j=1; j<i;j++){
                   3107:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   3108:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   3109:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   3110:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   3111:       }
                   3112:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   3113:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   3114:     }
                   3115:     for(j=i+1; j<=nlstate+ndeath;j++){
                   3116:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   3117:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   3118:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   3119:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   3120:       }
                   3121:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   3122:     }
                   3123:   }
                   3124:   
                   3125:   for(i=1; i<= nlstate; i++){
                   3126:     s1=0;
                   3127:     for(j=1; j<i; j++){
                   3128:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   3129:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   3130:     }
                   3131:     for(j=i+1; j<=nlstate+ndeath; j++){
                   3132:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   3133:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   3134:     }
                   3135:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   3136:     ps[i][i]=1./(s1+1.);
                   3137:     /* Computing other pijs */
                   3138:     for(j=1; j<i; j++)
                   3139:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3140:     for(j=i+1; j<=nlstate+ndeath; j++)
                   3141:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3142:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   3143:   } /* end i */
                   3144:   
                   3145:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   3146:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   3147:       ps[ii][jj]=0;
                   3148:       ps[ii][ii]=1;
                   3149:     }
                   3150:   }
1.296   ! brouard  3151:   /* Added for prevbcast */ /* Transposed matrix too */
1.234     brouard  3152:   for(jj=1; jj<= nlstate+ndeath; jj++){
                   3153:     s1=0.;
                   3154:     for(ii=1; ii<= nlstate+ndeath; ii++){
                   3155:       s1+=ps[ii][jj];
                   3156:     }
                   3157:     for(ii=1; ii<= nlstate; ii++){
                   3158:       ps[ii][jj]=ps[ii][jj]/s1;
                   3159:     }
                   3160:   }
                   3161:   /* Transposition */
                   3162:   for(jj=1; jj<= nlstate+ndeath; jj++){
                   3163:     for(ii=jj; ii<= nlstate+ndeath; ii++){
                   3164:       s1=ps[ii][jj];
                   3165:       ps[ii][jj]=ps[jj][ii];
                   3166:       ps[jj][ii]=s1;
                   3167:     }
                   3168:   }
                   3169:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   3170:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   3171:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   3172:   /*   } */
                   3173:   /*   printf("\n "); */
                   3174:   /* } */
                   3175:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   3176:   /*
                   3177:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   3178:     goto end;*/
                   3179:   return ps;
1.217     brouard  3180: }
                   3181: 
                   3182: 
1.126     brouard  3183: /**************** Product of 2 matrices ******************/
                   3184: 
1.145     brouard  3185: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  3186: {
                   3187:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   3188:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   3189:   /* in, b, out are matrice of pointers which should have been initialized 
                   3190:      before: only the contents of out is modified. The function returns
                   3191:      a pointer to pointers identical to out */
1.145     brouard  3192:   int i, j, k;
1.126     brouard  3193:   for(i=nrl; i<= nrh; i++)
1.145     brouard  3194:     for(k=ncolol; k<=ncoloh; k++){
                   3195:       out[i][k]=0.;
                   3196:       for(j=ncl; j<=nch; j++)
                   3197:        out[i][k] +=in[i][j]*b[j][k];
                   3198:     }
1.126     brouard  3199:   return out;
                   3200: }
                   3201: 
                   3202: 
                   3203: /************* Higher Matrix Product ***************/
                   3204: 
1.235     brouard  3205: 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  3206: {
1.218     brouard  3207:   /* Computes the transition matrix starting at age 'age' and combination of covariate values corresponding to ij over 
1.126     brouard  3208:      'nhstepm*hstepm*stepm' months (i.e. until
                   3209:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   3210:      nhstepm*hstepm matrices. 
                   3211:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   3212:      (typically every 2 years instead of every month which is too big 
                   3213:      for the memory).
                   3214:      Model is determined by parameters x and covariates have to be 
                   3215:      included manually here. 
                   3216: 
                   3217:      */
                   3218: 
                   3219:   int i, j, d, h, k;
1.131     brouard  3220:   double **out, cov[NCOVMAX+1];
1.126     brouard  3221:   double **newm;
1.187     brouard  3222:   double agexact;
1.214     brouard  3223:   double agebegin, ageend;
1.126     brouard  3224: 
                   3225:   /* Hstepm could be zero and should return the unit matrix */
                   3226:   for (i=1;i<=nlstate+ndeath;i++)
                   3227:     for (j=1;j<=nlstate+ndeath;j++){
                   3228:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   3229:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   3230:     }
                   3231:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   3232:   for(h=1; h <=nhstepm; h++){
                   3233:     for(d=1; d <=hstepm; d++){
                   3234:       newm=savm;
                   3235:       /* Covariates have to be included here again */
                   3236:       cov[1]=1.;
1.214     brouard  3237:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
1.187     brouard  3238:       cov[2]=agexact;
                   3239:       if(nagesqr==1)
1.227     brouard  3240:        cov[3]= agexact*agexact;
1.235     brouard  3241:       for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   3242:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   3243:        cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
                   3244:        /* 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)); */
                   3245:       }
                   3246:       for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   3247:        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   3248:        cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   3249:        /* 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]); */
                   3250:       }
                   3251:       for (k=1; k<=cptcovage;k++){
                   3252:        if(Dummy[Tvar[Tage[k]]]){
                   3253:          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   3254:        } else{
                   3255:          cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   3256:        }
                   3257:        /* 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]); */
                   3258:       }
                   3259:       for (k=1; k<=cptcovprod;k++){ /*  */
                   3260:        /* 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]); */
                   3261:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   3262:       }
                   3263:       /* for (k=1; k<=cptcovn;k++)  */
                   3264:       /*       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   3265:       /* for (k=1; k<=cptcovage;k++) /\* Should start at cptcovn+1 *\/ */
                   3266:       /*       cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2]; */
                   3267:       /* for (k=1; k<=cptcovprod;k++) /\* Useless because included in cptcovn *\/ */
                   3268:       /*       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)]; */
1.227     brouard  3269:       
                   3270:       
1.126     brouard  3271:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   3272:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.218     brouard  3273:                        /* right multiplication of oldm by the current matrix */
1.126     brouard  3274:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   3275:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
1.217     brouard  3276:       /* if((int)age == 70){ */
                   3277:       /*       printf(" Forward hpxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   3278:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   3279:       /*         printf("%d pmmij ",i); */
                   3280:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3281:       /*           printf("%f ",pmmij[i][j]); */
                   3282:       /*         } */
                   3283:       /*         printf(" oldm "); */
                   3284:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3285:       /*           printf("%f ",oldm[i][j]); */
                   3286:       /*         } */
                   3287:       /*         printf("\n"); */
                   3288:       /*       } */
                   3289:       /* } */
1.126     brouard  3290:       savm=oldm;
                   3291:       oldm=newm;
                   3292:     }
                   3293:     for(i=1; i<=nlstate+ndeath; i++)
                   3294:       for(j=1;j<=nlstate+ndeath;j++) {
1.267     brouard  3295:        po[i][j][h]=newm[i][j];
                   3296:        /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  3297:       }
1.128     brouard  3298:     /*printf("h=%d ",h);*/
1.126     brouard  3299:   } /* end h */
1.267     brouard  3300:   /*     printf("\n H=%d \n",h); */
1.126     brouard  3301:   return po;
                   3302: }
                   3303: 
1.217     brouard  3304: /************* Higher Back Matrix Product ***************/
1.218     brouard  3305: /* 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  3306: 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  3307: {
1.266     brouard  3308:   /* For a combination of dummy covariate ij, computes the transition matrix starting at age 'age' over
1.217     brouard  3309:      'nhstepm*hstepm*stepm' months (i.e. until
1.218     brouard  3310:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
                   3311:      nhstepm*hstepm matrices.
                   3312:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step
                   3313:      (typically every 2 years instead of every month which is too big
1.217     brouard  3314:      for the memory).
1.218     brouard  3315:      Model is determined by parameters x and covariates have to be
1.266     brouard  3316:      included manually here. Then we use a call to bmij(x and cov)
                   3317:      The addresss of po (p3mat allocated to the dimension of nhstepm) should be stored for output
1.222     brouard  3318:   */
1.217     brouard  3319: 
                   3320:   int i, j, d, h, k;
1.266     brouard  3321:   double **out, cov[NCOVMAX+1], **bmij();
                   3322:   double **newm, ***newmm;
1.217     brouard  3323:   double agexact;
                   3324:   double agebegin, ageend;
1.222     brouard  3325:   double **oldm, **savm;
1.217     brouard  3326: 
1.266     brouard  3327:   newmm=po; /* To be saved */
                   3328:   oldm=oldms;savm=savms; /* Global pointers */
1.217     brouard  3329:   /* Hstepm could be zero and should return the unit matrix */
                   3330:   for (i=1;i<=nlstate+ndeath;i++)
                   3331:     for (j=1;j<=nlstate+ndeath;j++){
                   3332:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   3333:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   3334:     }
                   3335:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   3336:   for(h=1; h <=nhstepm; h++){
                   3337:     for(d=1; d <=hstepm; d++){
                   3338:       newm=savm;
                   3339:       /* Covariates have to be included here again */
                   3340:       cov[1]=1.;
1.271     brouard  3341:       agexact=age-( (h-1)*hstepm + (d)  )*stepm/YEARM; /* age just before transition, d or d-1? */
1.217     brouard  3342:       /* agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /\* age just before transition *\/ */
                   3343:       cov[2]=agexact;
                   3344:       if(nagesqr==1)
1.222     brouard  3345:        cov[3]= agexact*agexact;
1.266     brouard  3346:       for (k=1; k<=cptcovn;k++){
                   3347:       /*       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   3348:       /* /\* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; *\/ */
                   3349:        cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
                   3350:         /* 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)); */
                   3351:       }
1.267     brouard  3352:       for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   3353:        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   3354:        cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   3355:        /* 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]); */
                   3356:       }
                   3357:       for (k=1; k<=cptcovage;k++){ /* Should start at cptcovn+1 */
                   3358:        if(Dummy[Tvar[Tage[k]]]){
                   3359:          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   3360:        } else{
                   3361:          cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   3362:        }
                   3363:        /* 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]); */
                   3364:       }
                   3365:       for (k=1; k<=cptcovprod;k++){ /* Useless because included in cptcovn */
1.222     brouard  3366:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.267     brouard  3367:       }                        
1.217     brouard  3368:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   3369:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.267     brouard  3370: 
1.218     brouard  3371:       /* Careful transposed matrix */
1.266     brouard  3372:       /* age is in cov[2], prevacurrent at beginning of transition. */
1.218     brouard  3373:       /* out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\ */
1.222     brouard  3374:       /*                                                1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); */
1.218     brouard  3375:       out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij),\
1.222     brouard  3376:                   1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
1.217     brouard  3377:       /* if((int)age == 70){ */
                   3378:       /*       printf(" Backward hbxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   3379:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   3380:       /*         printf("%d pmmij ",i); */
                   3381:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3382:       /*           printf("%f ",pmmij[i][j]); */
                   3383:       /*         } */
                   3384:       /*         printf(" oldm "); */
                   3385:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3386:       /*           printf("%f ",oldm[i][j]); */
                   3387:       /*         } */
                   3388:       /*         printf("\n"); */
                   3389:       /*       } */
                   3390:       /* } */
                   3391:       savm=oldm;
                   3392:       oldm=newm;
                   3393:     }
                   3394:     for(i=1; i<=nlstate+ndeath; i++)
                   3395:       for(j=1;j<=nlstate+ndeath;j++) {
1.222     brouard  3396:        po[i][j][h]=newm[i][j];
1.268     brouard  3397:        /* if(h==nhstepm) */
                   3398:        /*   printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]); */
1.217     brouard  3399:       }
1.268     brouard  3400:     /* printf("h=%d %.1f ",h, agexact); */
1.217     brouard  3401:   } /* end h */
1.268     brouard  3402:   /* printf("\n H=%d nhs=%d \n",h, nhstepm); */
1.217     brouard  3403:   return po;
                   3404: }
                   3405: 
                   3406: 
1.162     brouard  3407: #ifdef NLOPT
                   3408:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   3409:   double fret;
                   3410:   double *xt;
                   3411:   int j;
                   3412:   myfunc_data *d2 = (myfunc_data *) pd;
                   3413: /* xt = (p1-1); */
                   3414:   xt=vector(1,n); 
                   3415:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   3416: 
                   3417:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   3418:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   3419:   printf("Function = %.12lf ",fret);
                   3420:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   3421:   printf("\n");
                   3422:  free_vector(xt,1,n);
                   3423:   return fret;
                   3424: }
                   3425: #endif
1.126     brouard  3426: 
                   3427: /*************** log-likelihood *************/
                   3428: double func( double *x)
                   3429: {
1.226     brouard  3430:   int i, ii, j, k, mi, d, kk;
                   3431:   int ioffset=0;
                   3432:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
                   3433:   double **out;
                   3434:   double lli; /* Individual log likelihood */
                   3435:   int s1, s2;
1.228     brouard  3436:   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  3437:   double bbh, survp;
                   3438:   long ipmx;
                   3439:   double agexact;
                   3440:   /*extern weight */
                   3441:   /* We are differentiating ll according to initial status */
                   3442:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3443:   /*for(i=1;i<imx;i++) 
                   3444:     printf(" %d\n",s[4][i]);
                   3445:   */
1.162     brouard  3446: 
1.226     brouard  3447:   ++countcallfunc;
1.162     brouard  3448: 
1.226     brouard  3449:   cov[1]=1.;
1.126     brouard  3450: 
1.226     brouard  3451:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3452:   ioffset=0;
1.226     brouard  3453:   if(mle==1){
                   3454:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3455:       /* Computes the values of the ncovmodel covariates of the model
                   3456:         depending if the covariates are fixed or varying (age dependent) and stores them in cov[]
                   3457:         Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                   3458:         to be observed in j being in i according to the model.
                   3459:       */
1.243     brouard  3460:       ioffset=2+nagesqr ;
1.233     brouard  3461:    /* Fixed */
1.234     brouard  3462:       for (k=1; k<=ncovf;k++){ /* Simple and product fixed covariates without age* products */
                   3463:        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)*/
                   3464:       }
1.226     brouard  3465:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
                   3466:         is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
                   3467:         has been calculated etc */
                   3468:       /* For an individual i, wav[i] gives the number of effective waves */
                   3469:       /* We compute the contribution to Likelihood of each effective transition
                   3470:         mw[mi][i] is real wave of the mi th effectve wave */
                   3471:       /* Then statuses are computed at each begin and end of an effective wave s1=s[ mw[mi][i] ][i];
                   3472:         s2=s[mw[mi+1][i]][i];
                   3473:         And the iv th varying covariate is the cotvar[mw[mi+1][i]][iv][i]
                   3474:         But if the variable is not in the model TTvar[iv] is the real variable effective in the model:
                   3475:         meaning that decodemodel should be used cotvar[mw[mi+1][i]][TTvar[iv]][i]
                   3476:       */
                   3477:       for(mi=1; mi<= wav[i]-1; mi++){
1.234     brouard  3478:        for(k=1; k <= ncovv ; k++){ /* Varying  covariates (single and product but no age )*/
1.242     brouard  3479:          /* cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i]; */
                   3480:          cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]-ncovcol-nqv][i];
1.234     brouard  3481:        }
                   3482:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3483:          for (j=1;j<=nlstate+ndeath;j++){
                   3484:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3485:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3486:          }
                   3487:        for(d=0; d<dh[mi][i]; d++){
                   3488:          newm=savm;
                   3489:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3490:          cov[2]=agexact;
                   3491:          if(nagesqr==1)
                   3492:            cov[3]= agexact*agexact;  /* Should be changed here */
                   3493:          for (kk=1; kk<=cptcovage;kk++) {
1.242     brouard  3494:          if(!FixedV[Tvar[Tage[kk]]])
1.234     brouard  3495:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
1.242     brouard  3496:          else
                   3497:            cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]-ncovcol-nqv][i]*agexact;
1.234     brouard  3498:          }
                   3499:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3500:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3501:          savm=oldm;
                   3502:          oldm=newm;
                   3503:        } /* end mult */
                   3504:        
                   3505:        /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   3506:        /* But now since version 0.9 we anticipate for bias at large stepm.
                   3507:         * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   3508:         * (in months) between two waves is not a multiple of stepm, we rounded to 
                   3509:         * the nearest (and in case of equal distance, to the lowest) interval but now
                   3510:         * we keep into memory the bias bh[mi][i] and also the previous matrix product
                   3511:         * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                   3512:         * probability in order to take into account the bias as a fraction of the way
1.231     brouard  3513:                                 * from savm to out if bh is negative or even beyond if bh is positive. bh varies
                   3514:                                 * -stepm/2 to stepm/2 .
                   3515:                                 * For stepm=1 the results are the same as for previous versions of Imach.
                   3516:                                 * For stepm > 1 the results are less biased than in previous versions. 
                   3517:                                 */
1.234     brouard  3518:        s1=s[mw[mi][i]][i];
                   3519:        s2=s[mw[mi+1][i]][i];
                   3520:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3521:        /* bias bh is positive if real duration
                   3522:         * is higher than the multiple of stepm and negative otherwise.
                   3523:         */
                   3524:        /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
                   3525:        if( s2 > nlstate){ 
                   3526:          /* i.e. if s2 is a death state and if the date of death is known 
                   3527:             then the contribution to the likelihood is the probability to 
                   3528:             die between last step unit time and current  step unit time, 
                   3529:             which is also equal to probability to die before dh 
                   3530:             minus probability to die before dh-stepm . 
                   3531:             In version up to 0.92 likelihood was computed
                   3532:             as if date of death was unknown. Death was treated as any other
                   3533:             health state: the date of the interview describes the actual state
                   3534:             and not the date of a change in health state. The former idea was
                   3535:             to consider that at each interview the state was recorded
                   3536:             (healthy, disable or death) and IMaCh was corrected; but when we
                   3537:             introduced the exact date of death then we should have modified
                   3538:             the contribution of an exact death to the likelihood. This new
                   3539:             contribution is smaller and very dependent of the step unit
                   3540:             stepm. It is no more the probability to die between last interview
                   3541:             and month of death but the probability to survive from last
                   3542:             interview up to one month before death multiplied by the
                   3543:             probability to die within a month. Thanks to Chris
                   3544:             Jackson for correcting this bug.  Former versions increased
                   3545:             mortality artificially. The bad side is that we add another loop
                   3546:             which slows down the processing. The difference can be up to 10%
                   3547:             lower mortality.
                   3548:          */
                   3549:          /* If, at the beginning of the maximization mostly, the
                   3550:             cumulative probability or probability to be dead is
                   3551:             constant (ie = 1) over time d, the difference is equal to
                   3552:             0.  out[s1][3] = savm[s1][3]: probability, being at state
                   3553:             s1 at precedent wave, to be dead a month before current
                   3554:             wave is equal to probability, being at state s1 at
                   3555:             precedent wave, to be dead at mont of the current
                   3556:             wave. Then the observed probability (that this person died)
                   3557:             is null according to current estimated parameter. In fact,
                   3558:             it should be very low but not zero otherwise the log go to
                   3559:             infinity.
                   3560:          */
1.183     brouard  3561: /* #ifdef INFINITYORIGINAL */
                   3562: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3563: /* #else */
                   3564: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   3565: /*         lli=log(mytinydouble); */
                   3566: /*       else */
                   3567: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3568: /* #endif */
1.226     brouard  3569:          lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3570:          
1.226     brouard  3571:        } else if  ( s2==-1 ) { /* alive */
                   3572:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3573:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3574:          /*survp += out[s1][j]; */
                   3575:          lli= log(survp);
                   3576:        }
                   3577:        else if  (s2==-4) { 
                   3578:          for (j=3,survp=0. ; j<=nlstate; j++)  
                   3579:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3580:          lli= log(survp); 
                   3581:        } 
                   3582:        else if  (s2==-5) { 
                   3583:          for (j=1,survp=0. ; j<=2; j++)  
                   3584:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3585:          lli= log(survp); 
                   3586:        } 
                   3587:        else{
                   3588:          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3589:          /*  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 */
                   3590:        } 
                   3591:        /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                   3592:        /*if(lli ==000.0)*/
                   3593:        /*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); */
                   3594:        ipmx +=1;
                   3595:        sw += weight[i];
                   3596:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3597:        /* if (lli < log(mytinydouble)){ */
                   3598:        /*   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); */
                   3599:        /*   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]); */
                   3600:        /* } */
                   3601:       } /* end of wave */
                   3602:     } /* end of individual */
                   3603:   }  else if(mle==2){
                   3604:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3605:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3606:       for(mi=1; mi<= wav[i]-1; mi++){
                   3607:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3608:          for (j=1;j<=nlstate+ndeath;j++){
                   3609:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3610:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3611:          }
                   3612:        for(d=0; d<=dh[mi][i]; d++){
                   3613:          newm=savm;
                   3614:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3615:          cov[2]=agexact;
                   3616:          if(nagesqr==1)
                   3617:            cov[3]= agexact*agexact;
                   3618:          for (kk=1; kk<=cptcovage;kk++) {
                   3619:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3620:          }
                   3621:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3622:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3623:          savm=oldm;
                   3624:          oldm=newm;
                   3625:        } /* end mult */
                   3626:       
                   3627:        s1=s[mw[mi][i]][i];
                   3628:        s2=s[mw[mi+1][i]][i];
                   3629:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3630:        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 */
                   3631:        ipmx +=1;
                   3632:        sw += weight[i];
                   3633:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3634:       } /* end of wave */
                   3635:     } /* end of individual */
                   3636:   }  else if(mle==3){  /* exponential inter-extrapolation */
                   3637:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3638:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3639:       for(mi=1; mi<= wav[i]-1; mi++){
                   3640:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3641:          for (j=1;j<=nlstate+ndeath;j++){
                   3642:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3643:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3644:          }
                   3645:        for(d=0; d<dh[mi][i]; d++){
                   3646:          newm=savm;
                   3647:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3648:          cov[2]=agexact;
                   3649:          if(nagesqr==1)
                   3650:            cov[3]= agexact*agexact;
                   3651:          for (kk=1; kk<=cptcovage;kk++) {
                   3652:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3653:          }
                   3654:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3655:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3656:          savm=oldm;
                   3657:          oldm=newm;
                   3658:        } /* end mult */
                   3659:       
                   3660:        s1=s[mw[mi][i]][i];
                   3661:        s2=s[mw[mi+1][i]][i];
                   3662:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3663:        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 */
                   3664:        ipmx +=1;
                   3665:        sw += weight[i];
                   3666:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3667:       } /* end of wave */
                   3668:     } /* end of individual */
                   3669:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
                   3670:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3671:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3672:       for(mi=1; mi<= wav[i]-1; mi++){
                   3673:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3674:          for (j=1;j<=nlstate+ndeath;j++){
                   3675:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3676:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3677:          }
                   3678:        for(d=0; d<dh[mi][i]; d++){
                   3679:          newm=savm;
                   3680:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3681:          cov[2]=agexact;
                   3682:          if(nagesqr==1)
                   3683:            cov[3]= agexact*agexact;
                   3684:          for (kk=1; kk<=cptcovage;kk++) {
                   3685:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3686:          }
1.126     brouard  3687:        
1.226     brouard  3688:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3689:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3690:          savm=oldm;
                   3691:          oldm=newm;
                   3692:        } /* end mult */
                   3693:       
                   3694:        s1=s[mw[mi][i]][i];
                   3695:        s2=s[mw[mi+1][i]][i];
                   3696:        if( s2 > nlstate){ 
                   3697:          lli=log(out[s1][s2] - savm[s1][s2]);
                   3698:        } else if  ( s2==-1 ) { /* alive */
                   3699:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3700:            survp += out[s1][j];
                   3701:          lli= log(survp);
                   3702:        }else{
                   3703:          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3704:        }
                   3705:        ipmx +=1;
                   3706:        sw += weight[i];
                   3707:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.126     brouard  3708: /*     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  3709:       } /* end of wave */
                   3710:     } /* end of individual */
                   3711:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
                   3712:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3713:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3714:       for(mi=1; mi<= wav[i]-1; mi++){
                   3715:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3716:          for (j=1;j<=nlstate+ndeath;j++){
                   3717:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3718:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3719:          }
                   3720:        for(d=0; d<dh[mi][i]; d++){
                   3721:          newm=savm;
                   3722:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3723:          cov[2]=agexact;
                   3724:          if(nagesqr==1)
                   3725:            cov[3]= agexact*agexact;
                   3726:          for (kk=1; kk<=cptcovage;kk++) {
                   3727:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3728:          }
1.126     brouard  3729:        
1.226     brouard  3730:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3731:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3732:          savm=oldm;
                   3733:          oldm=newm;
                   3734:        } /* end mult */
                   3735:       
                   3736:        s1=s[mw[mi][i]][i];
                   3737:        s2=s[mw[mi+1][i]][i];
                   3738:        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3739:        ipmx +=1;
                   3740:        sw += weight[i];
                   3741:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3742:        /*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]);*/
                   3743:       } /* end of wave */
                   3744:     } /* end of individual */
                   3745:   } /* End of if */
                   3746:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3747:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3748:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3749:   return -l;
1.126     brouard  3750: }
                   3751: 
                   3752: /*************** log-likelihood *************/
                   3753: double funcone( double *x)
                   3754: {
1.228     brouard  3755:   /* Same as func but slower because of a lot of printf and if */
1.126     brouard  3756:   int i, ii, j, k, mi, d, kk;
1.228     brouard  3757:   int ioffset=0;
1.131     brouard  3758:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  3759:   double **out;
                   3760:   double lli; /* Individual log likelihood */
                   3761:   double llt;
                   3762:   int s1, s2;
1.228     brouard  3763:   int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate, quantitative time varying covariate */
                   3764: 
1.126     brouard  3765:   double bbh, survp;
1.187     brouard  3766:   double agexact;
1.214     brouard  3767:   double agebegin, ageend;
1.126     brouard  3768:   /*extern weight */
                   3769:   /* We are differentiating ll according to initial status */
                   3770:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3771:   /*for(i=1;i<imx;i++) 
                   3772:     printf(" %d\n",s[4][i]);
                   3773:   */
                   3774:   cov[1]=1.;
                   3775: 
                   3776:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3777:   ioffset=0;
                   3778:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.243     brouard  3779:     /* ioffset=2+nagesqr+cptcovage; */
                   3780:     ioffset=2+nagesqr;
1.232     brouard  3781:     /* Fixed */
1.224     brouard  3782:     /* for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i]; */
1.232     brouard  3783:     /* for (k=1; k<=ncoveff;k++){ /\* Simple and product fixed Dummy covariates without age* products *\/ */
                   3784:     for (k=1; k<=ncovf;k++){ /* Simple and product fixed covariates without age* products */
                   3785:       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)*/
                   3786: /*    cov[ioffset+TvarFind[1]]=covar[Tvar[TvarFind[1]]][i];  */
                   3787: /*    cov[2+6]=covar[Tvar[6]][i];  */
                   3788: /*    cov[2+6]=covar[2][i]; V2  */
                   3789: /*    cov[TvarFind[2]]=covar[Tvar[TvarFind[2]]][i];  */
                   3790: /*    cov[2+7]=covar[Tvar[7]][i];  */
                   3791: /*    cov[2+7]=covar[7][i]; V7=V1*V2  */
                   3792: /*    cov[TvarFind[3]]=covar[Tvar[TvarFind[3]]][i];  */
                   3793: /*    cov[2+9]=covar[Tvar[9]][i];  */
                   3794: /*    cov[2+9]=covar[1][i]; V1  */
1.225     brouard  3795:     }
1.232     brouard  3796:     /* for (k=1; k<=nqfveff;k++){ /\* Simple and product fixed Quantitative covariates without age* products *\/ */
                   3797:     /*   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?)*\/ */
                   3798:     /* } */
1.231     brouard  3799:     /* for(iqv=1; iqv <= nqfveff; iqv++){ /\* Quantitative fixed covariates *\/ */
                   3800:     /*   cov[++ioffset]=coqvar[Tvar[iqv]][i]; /\* Only V2 k=6 and V1*V2 7 *\/ */
                   3801:     /* } */
1.225     brouard  3802:     
1.233     brouard  3803: 
                   3804:     for(mi=1; mi<= wav[i]-1; mi++){  /* Varying with waves */
1.232     brouard  3805:     /* Wave varying (but not age varying) */
                   3806:       for(k=1; k <= ncovv ; k++){ /* Varying  covariates (single and product but no age )*/
1.242     brouard  3807:        /* cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i]; */
                   3808:        cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]-ncovcol-nqv][i];
                   3809:       }
1.232     brouard  3810:       /* for(itv=1; itv <= ntveff; itv++){ /\* Varying dummy covariates (single??)*\/ */
1.242     brouard  3811:       /* iv= Tvar[Tmodelind[ioffset-2-nagesqr-cptcovage+itv]]-ncovcol-nqv; /\* Counting the # varying covariate from 1 to ntveff *\/ */
                   3812:       /* cov[ioffset+iv]=cotvar[mw[mi][i]][iv][i]; */
                   3813:       /* k=ioffset-2-nagesqr-cptcovage+itv; /\* position in simple model *\/ */
                   3814:       /* cov[ioffset+itv]=cotvar[mw[mi][i]][TmodelInvind[itv]][i]; */
                   3815:       /* 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  3816:       /* for(iqtv=1; iqtv <= nqtveff; iqtv++){ /\* Varying quantitatives covariates *\/ */
1.242     brouard  3817:       /*       iv=TmodelInvQind[iqtv]; /\* Counting the # varying covariate from 1 to ntveff *\/ */
                   3818:       /*       /\* 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]); *\/ */
                   3819:       /*       cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i]; */
1.232     brouard  3820:       /* } */
1.126     brouard  3821:       for (ii=1;ii<=nlstate+ndeath;ii++)
1.242     brouard  3822:        for (j=1;j<=nlstate+ndeath;j++){
                   3823:          oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3824:          savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3825:        }
1.214     brouard  3826:       
                   3827:       agebegin=agev[mw[mi][i]][i]; /* Age at beginning of effective wave */
                   3828:       ageend=agev[mw[mi][i]][i] + (dh[mi][i])*stepm/YEARM; /* Age at end of effective wave and at the end of transition */
                   3829:       for(d=0; d<dh[mi][i]; d++){  /* Delay between two effective waves */
1.247     brouard  3830:       /* for(d=0; d<=0; d++){  /\* Delay between two effective waves Only one matrix to speed up*\/ */
1.242     brouard  3831:        /*dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   3832:          and mw[mi+1][i]. dh depends on stepm.*/
                   3833:        newm=savm;
1.247     brouard  3834:        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;  /* Here d is needed */
1.242     brouard  3835:        cov[2]=agexact;
                   3836:        if(nagesqr==1)
                   3837:          cov[3]= agexact*agexact;
                   3838:        for (kk=1; kk<=cptcovage;kk++) {
                   3839:          if(!FixedV[Tvar[Tage[kk]]])
                   3840:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3841:          else
                   3842:            cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]-ncovcol-nqv][i]*agexact;
                   3843:        }
                   3844:        /* printf("i=%d,mi=%d,d=%d,mw[mi][i]=%d\n",i, mi,d,mw[mi][i]); */
                   3845:        /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   3846:        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3847:                     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3848:        /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
                   3849:        /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
                   3850:        savm=oldm;
                   3851:        oldm=newm;
1.126     brouard  3852:       } /* end mult */
                   3853:       
                   3854:       s1=s[mw[mi][i]][i];
                   3855:       s2=s[mw[mi+1][i]][i];
1.217     brouard  3856:       /* if(s2==-1){ */
1.268     brouard  3857:       /*       printf(" ERROR s1=%d, s2=%d i=%d \n", s1, s2, i); */
1.217     brouard  3858:       /*       /\* exit(1); *\/ */
                   3859:       /* } */
1.126     brouard  3860:       bbh=(double)bh[mi][i]/(double)stepm; 
                   3861:       /* bias is positive if real duration
                   3862:        * is higher than the multiple of stepm and negative otherwise.
                   3863:        */
                   3864:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
1.242     brouard  3865:        lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3866:       } else if  ( s2==-1 ) { /* alive */
1.242     brouard  3867:        for (j=1,survp=0. ; j<=nlstate; j++) 
                   3868:          survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3869:        lli= log(survp);
1.126     brouard  3870:       }else if (mle==1){
1.242     brouard  3871:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
1.126     brouard  3872:       } else if(mle==2){
1.242     brouard  3873:        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  3874:       } else if(mle==3){  /* exponential inter-extrapolation */
1.242     brouard  3875:        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  3876:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
1.242     brouard  3877:        lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  3878:       } else{  /* mle=0 back to 1 */
1.242     brouard  3879:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3880:        /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  3881:       } /* End of if */
                   3882:       ipmx +=1;
                   3883:       sw += weight[i];
                   3884:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  3885:       /*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  3886:       if(globpr){
1.246     brouard  3887:        fprintf(ficresilk,"%09ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %15.6f %8.4f %8.3f\
1.126     brouard  3888:  %11.6f %11.6f %11.6f ", \
1.242     brouard  3889:                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  3890:                2*weight[i]*lli,(s2==-1? -1: out[s1][s2]),(s2==-1? -1: savm[s1][s2]));
1.242     brouard  3891:        for(k=1,llt=0.,l=0.; k<=nlstate; k++){
                   3892:          llt +=ll[k]*gipmx/gsw;
                   3893:          fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                   3894:        }
                   3895:        fprintf(ficresilk," %10.6f\n", -llt);
1.126     brouard  3896:       }
1.232     brouard  3897:        } /* end of wave */
                   3898: } /* end of individual */
                   3899: for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3900: /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3901: l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3902: if(globpr==0){ /* First time we count the contributions and weights */
                   3903:        gipmx=ipmx;
                   3904:        gsw=sw;
                   3905: }
                   3906: return -l;
1.126     brouard  3907: }
                   3908: 
                   3909: 
                   3910: /*************** function likelione ***********/
1.292     brouard  3911: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*func)(double []))
1.126     brouard  3912: {
                   3913:   /* This routine should help understanding what is done with 
                   3914:      the selection of individuals/waves and
                   3915:      to check the exact contribution to the likelihood.
                   3916:      Plotting could be done.
                   3917:    */
                   3918:   int k;
                   3919: 
                   3920:   if(*globpri !=0){ /* Just counts and sums, no printings */
1.201     brouard  3921:     strcpy(fileresilk,"ILK_"); 
1.202     brouard  3922:     strcat(fileresilk,fileresu);
1.126     brouard  3923:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   3924:       printf("Problem with resultfile: %s\n", fileresilk);
                   3925:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   3926:     }
1.214     brouard  3927:     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");
                   3928:     fprintf(ficresilk, "#num_i ageb agend i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav ");
1.126     brouard  3929:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   3930:     for(k=1; k<=nlstate; k++) 
                   3931:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   3932:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   3933:   }
                   3934: 
1.292     brouard  3935:   *fretone=(*func)(p);
1.126     brouard  3936:   if(*globpri !=0){
                   3937:     fclose(ficresilk);
1.205     brouard  3938:     if (mle ==0)
                   3939:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
                   3940:     else if(mle >=1)
                   3941:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
                   3942:     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  3943:     fprintf(fichtm,"\n<br>Equation of the model: <b>model=1+age+%s</b><br>\n",model); 
1.208     brouard  3944:       
                   3945:     for (k=1; k<= nlstate ; k++) {
1.211     brouard  3946:       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  3947: <img src=\"%s-p%dj.png\">",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
                   3948:     }
1.207     brouard  3949:     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  3950: <img src=\"%s-ori.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3951:     fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
1.204     brouard  3952: <img src=\"%s-dest.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3953:     fflush(fichtm);
1.205     brouard  3954:   }
1.126     brouard  3955:   return;
                   3956: }
                   3957: 
                   3958: 
                   3959: /*********** Maximum Likelihood Estimation ***************/
                   3960: 
                   3961: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   3962: {
1.165     brouard  3963:   int i,j, iter=0;
1.126     brouard  3964:   double **xi;
                   3965:   double fret;
                   3966:   double fretone; /* Only one call to likelihood */
                   3967:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  3968: 
                   3969: #ifdef NLOPT
                   3970:   int creturn;
                   3971:   nlopt_opt opt;
                   3972:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   3973:   double *lb;
                   3974:   double minf; /* the minimum objective value, upon return */
                   3975:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   3976:   myfunc_data dinst, *d = &dinst;
                   3977: #endif
                   3978: 
                   3979: 
1.126     brouard  3980:   xi=matrix(1,npar,1,npar);
                   3981:   for (i=1;i<=npar;i++)
                   3982:     for (j=1;j<=npar;j++)
                   3983:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   3984:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.201     brouard  3985:   strcpy(filerespow,"POW_"); 
1.126     brouard  3986:   strcat(filerespow,fileres);
                   3987:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   3988:     printf("Problem with resultfile: %s\n", filerespow);
                   3989:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   3990:   }
                   3991:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   3992:   for (i=1;i<=nlstate;i++)
                   3993:     for(j=1;j<=nlstate+ndeath;j++)
                   3994:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   3995:   fprintf(ficrespow,"\n");
1.162     brouard  3996: #ifdef POWELL
1.126     brouard  3997:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.162     brouard  3998: #endif
1.126     brouard  3999: 
1.162     brouard  4000: #ifdef NLOPT
                   4001: #ifdef NEWUOA
                   4002:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   4003: #else
                   4004:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   4005: #endif
                   4006:   lb=vector(0,npar-1);
                   4007:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   4008:   nlopt_set_lower_bounds(opt, lb);
                   4009:   nlopt_set_initial_step1(opt, 0.1);
                   4010:   
                   4011:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   4012:   d->function = func;
                   4013:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   4014:   nlopt_set_min_objective(opt, myfunc, d);
                   4015:   nlopt_set_xtol_rel(opt, ftol);
                   4016:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   4017:     printf("nlopt failed! %d\n",creturn); 
                   4018:   }
                   4019:   else {
                   4020:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   4021:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   4022:     iter=1; /* not equal */
                   4023:   }
                   4024:   nlopt_destroy(opt);
                   4025: #endif
1.126     brouard  4026:   free_matrix(xi,1,npar,1,npar);
                   4027:   fclose(ficrespow);
1.203     brouard  4028:   printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   4029:   fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.180     brouard  4030:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  4031: 
                   4032: }
                   4033: 
                   4034: /**** Computes Hessian and covariance matrix ***/
1.203     brouard  4035: void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
1.126     brouard  4036: {
                   4037:   double  **a,**y,*x,pd;
1.203     brouard  4038:   /* double **hess; */
1.164     brouard  4039:   int i, j;
1.126     brouard  4040:   int *indx;
                   4041: 
                   4042:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
1.203     brouard  4043:   double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
1.126     brouard  4044:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   4045:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   4046:   double gompertz(double p[]);
1.203     brouard  4047:   /* hess=matrix(1,npar,1,npar); */
1.126     brouard  4048: 
                   4049:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   4050:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   4051:   for (i=1;i<=npar;i++){
1.203     brouard  4052:     printf("%d-",i);fflush(stdout);
                   4053:     fprintf(ficlog,"%d-",i);fflush(ficlog);
1.126     brouard  4054:    
                   4055:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   4056:     
                   4057:     /*  printf(" %f ",p[i]);
                   4058:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   4059:   }
                   4060:   
                   4061:   for (i=1;i<=npar;i++) {
                   4062:     for (j=1;j<=npar;j++)  {
                   4063:       if (j>i) { 
1.203     brouard  4064:        printf(".%d-%d",i,j);fflush(stdout);
                   4065:        fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
                   4066:        hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
1.126     brouard  4067:        
                   4068:        hess[j][i]=hess[i][j];    
                   4069:        /*printf(" %lf ",hess[i][j]);*/
                   4070:       }
                   4071:     }
                   4072:   }
                   4073:   printf("\n");
                   4074:   fprintf(ficlog,"\n");
                   4075: 
                   4076:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   4077:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   4078:   
                   4079:   a=matrix(1,npar,1,npar);
                   4080:   y=matrix(1,npar,1,npar);
                   4081:   x=vector(1,npar);
                   4082:   indx=ivector(1,npar);
                   4083:   for (i=1;i<=npar;i++)
                   4084:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   4085:   ludcmp(a,npar,indx,&pd);
                   4086: 
                   4087:   for (j=1;j<=npar;j++) {
                   4088:     for (i=1;i<=npar;i++) x[i]=0;
                   4089:     x[j]=1;
                   4090:     lubksb(a,npar,indx,x);
                   4091:     for (i=1;i<=npar;i++){ 
                   4092:       matcov[i][j]=x[i];
                   4093:     }
                   4094:   }
                   4095: 
                   4096:   printf("\n#Hessian matrix#\n");
                   4097:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   4098:   for (i=1;i<=npar;i++) { 
                   4099:     for (j=1;j<=npar;j++) { 
1.203     brouard  4100:       printf("%.6e ",hess[i][j]);
                   4101:       fprintf(ficlog,"%.6e ",hess[i][j]);
1.126     brouard  4102:     }
                   4103:     printf("\n");
                   4104:     fprintf(ficlog,"\n");
                   4105:   }
                   4106: 
1.203     brouard  4107:   /* printf("\n#Covariance matrix#\n"); */
                   4108:   /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
                   4109:   /* for (i=1;i<=npar;i++) {  */
                   4110:   /*   for (j=1;j<=npar;j++) {  */
                   4111:   /*     printf("%.6e ",matcov[i][j]); */
                   4112:   /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
                   4113:   /*   } */
                   4114:   /*   printf("\n"); */
                   4115:   /*   fprintf(ficlog,"\n"); */
                   4116:   /* } */
                   4117: 
1.126     brouard  4118:   /* Recompute Inverse */
1.203     brouard  4119:   /* for (i=1;i<=npar;i++) */
                   4120:   /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
                   4121:   /* ludcmp(a,npar,indx,&pd); */
                   4122: 
                   4123:   /*  printf("\n#Hessian matrix recomputed#\n"); */
                   4124: 
                   4125:   /* for (j=1;j<=npar;j++) { */
                   4126:   /*   for (i=1;i<=npar;i++) x[i]=0; */
                   4127:   /*   x[j]=1; */
                   4128:   /*   lubksb(a,npar,indx,x); */
                   4129:   /*   for (i=1;i<=npar;i++){  */
                   4130:   /*     y[i][j]=x[i]; */
                   4131:   /*     printf("%.3e ",y[i][j]); */
                   4132:   /*     fprintf(ficlog,"%.3e ",y[i][j]); */
                   4133:   /*   } */
                   4134:   /*   printf("\n"); */
                   4135:   /*   fprintf(ficlog,"\n"); */
                   4136:   /* } */
                   4137: 
                   4138:   /* Verifying the inverse matrix */
                   4139: #ifdef DEBUGHESS
                   4140:   y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
1.126     brouard  4141: 
1.203     brouard  4142:    printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
                   4143:    fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
1.126     brouard  4144: 
                   4145:   for (j=1;j<=npar;j++) {
                   4146:     for (i=1;i<=npar;i++){ 
1.203     brouard  4147:       printf("%.2f ",y[i][j]);
                   4148:       fprintf(ficlog,"%.2f ",y[i][j]);
1.126     brouard  4149:     }
                   4150:     printf("\n");
                   4151:     fprintf(ficlog,"\n");
                   4152:   }
1.203     brouard  4153: #endif
1.126     brouard  4154: 
                   4155:   free_matrix(a,1,npar,1,npar);
                   4156:   free_matrix(y,1,npar,1,npar);
                   4157:   free_vector(x,1,npar);
                   4158:   free_ivector(indx,1,npar);
1.203     brouard  4159:   /* free_matrix(hess,1,npar,1,npar); */
1.126     brouard  4160: 
                   4161: 
                   4162: }
                   4163: 
                   4164: /*************** hessian matrix ****************/
                   4165: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
1.203     brouard  4166: { /* Around values of x, computes the function func and returns the scales delti and hessian */
1.126     brouard  4167:   int i;
                   4168:   int l=1, lmax=20;
1.203     brouard  4169:   double k1,k2, res, fx;
1.132     brouard  4170:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  4171:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   4172:   int k=0,kmax=10;
                   4173:   double l1;
                   4174: 
                   4175:   fx=func(x);
                   4176:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  4177:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  4178:     l1=pow(10,l);
                   4179:     delts=delt;
                   4180:     for(k=1 ; k <kmax; k=k+1){
                   4181:       delt = delta*(l1*k);
                   4182:       p2[theta]=x[theta] +delt;
1.145     brouard  4183:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  4184:       p2[theta]=x[theta]-delt;
                   4185:       k2=func(p2)-fx;
                   4186:       /*res= (k1-2.0*fx+k2)/delt/delt; */
1.203     brouard  4187:       res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
1.126     brouard  4188:       
1.203     brouard  4189: #ifdef DEBUGHESSII
1.126     brouard  4190:       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);
                   4191:       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);
                   4192: #endif
                   4193:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   4194:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   4195:        k=kmax;
                   4196:       }
                   4197:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  4198:        k=kmax; l=lmax*10;
1.126     brouard  4199:       }
                   4200:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   4201:        delts=delt;
                   4202:       }
1.203     brouard  4203:     } /* End loop k */
1.126     brouard  4204:   }
                   4205:   delti[theta]=delts;
                   4206:   return res; 
                   4207:   
                   4208: }
                   4209: 
1.203     brouard  4210: double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
1.126     brouard  4211: {
                   4212:   int i;
1.164     brouard  4213:   int l=1, lmax=20;
1.126     brouard  4214:   double k1,k2,k3,k4,res,fx;
1.132     brouard  4215:   double p2[MAXPARM+1];
1.203     brouard  4216:   int k, kmax=1;
                   4217:   double v1, v2, cv12, lc1, lc2;
1.208     brouard  4218: 
                   4219:   int firstime=0;
1.203     brouard  4220:   
1.126     brouard  4221:   fx=func(x);
1.203     brouard  4222:   for (k=1; k<=kmax; k=k+10) {
1.126     brouard  4223:     for (i=1;i<=npar;i++) p2[i]=x[i];
1.203     brouard  4224:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   4225:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  4226:     k1=func(p2)-fx;
                   4227:   
1.203     brouard  4228:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   4229:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  4230:     k2=func(p2)-fx;
                   4231:   
1.203     brouard  4232:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   4233:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  4234:     k3=func(p2)-fx;
                   4235:   
1.203     brouard  4236:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   4237:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  4238:     k4=func(p2)-fx;
1.203     brouard  4239:     res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */
                   4240:     if(k1*k2*k3*k4 <0.){
1.208     brouard  4241:       firstime=1;
1.203     brouard  4242:       kmax=kmax+10;
1.208     brouard  4243:     }
                   4244:     if(kmax >=10 || firstime ==1){
1.246     brouard  4245:       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);
                   4246:       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  4247:       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);
                   4248:       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);
                   4249:     }
                   4250: #ifdef DEBUGHESSIJ
                   4251:     v1=hess[thetai][thetai];
                   4252:     v2=hess[thetaj][thetaj];
                   4253:     cv12=res;
                   4254:     /* Computing eigen value of Hessian matrix */
                   4255:     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4256:     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4257:     if ((lc2 <0) || (lc1 <0) ){
                   4258:       printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   4259:       fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   4260:       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);
                   4261:       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);
                   4262:     }
1.126     brouard  4263: #endif
                   4264:   }
                   4265:   return res;
                   4266: }
                   4267: 
1.203     brouard  4268:     /* Not done yet: Was supposed to fix if not exactly at the maximum */
                   4269: /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
                   4270: /* { */
                   4271: /*   int i; */
                   4272: /*   int l=1, lmax=20; */
                   4273: /*   double k1,k2,k3,k4,res,fx; */
                   4274: /*   double p2[MAXPARM+1]; */
                   4275: /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
                   4276: /*   int k=0,kmax=10; */
                   4277: /*   double l1; */
                   4278:   
                   4279: /*   fx=func(x); */
                   4280: /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
                   4281: /*     l1=pow(10,l); */
                   4282: /*     delts=delt; */
                   4283: /*     for(k=1 ; k <kmax; k=k+1){ */
                   4284: /*       delt = delti*(l1*k); */
                   4285: /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
                   4286: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   4287: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   4288: /*       k1=func(p2)-fx; */
                   4289:       
                   4290: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   4291: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   4292: /*       k2=func(p2)-fx; */
                   4293:       
                   4294: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   4295: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   4296: /*       k3=func(p2)-fx; */
                   4297:       
                   4298: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   4299: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   4300: /*       k4=func(p2)-fx; */
                   4301: /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
                   4302: /* #ifdef DEBUGHESSIJ */
                   4303: /*       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); */
                   4304: /*       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); */
                   4305: /* #endif */
                   4306: /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
                   4307: /*     k=kmax; */
                   4308: /*       } */
                   4309: /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
                   4310: /*     k=kmax; l=lmax*10; */
                   4311: /*       } */
                   4312: /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
                   4313: /*     delts=delt; */
                   4314: /*       } */
                   4315: /*     } /\* End loop k *\/ */
                   4316: /*   } */
                   4317: /*   delti[theta]=delts; */
                   4318: /*   return res;  */
                   4319: /* } */
                   4320: 
                   4321: 
1.126     brouard  4322: /************** Inverse of matrix **************/
                   4323: void ludcmp(double **a, int n, int *indx, double *d) 
                   4324: { 
                   4325:   int i,imax,j,k; 
                   4326:   double big,dum,sum,temp; 
                   4327:   double *vv; 
                   4328:  
                   4329:   vv=vector(1,n); 
                   4330:   *d=1.0; 
                   4331:   for (i=1;i<=n;i++) { 
                   4332:     big=0.0; 
                   4333:     for (j=1;j<=n;j++) 
                   4334:       if ((temp=fabs(a[i][j])) > big) big=temp; 
1.256     brouard  4335:     if (big == 0.0){
                   4336:       printf(" Singular Hessian matrix at row %d:\n",i);
                   4337:       for (j=1;j<=n;j++) {
                   4338:        printf(" a[%d][%d]=%f,",i,j,a[i][j]);
                   4339:        fprintf(ficlog," a[%d][%d]=%f,",i,j,a[i][j]);
                   4340:       }
                   4341:       fflush(ficlog);
                   4342:       fclose(ficlog);
                   4343:       nrerror("Singular matrix in routine ludcmp"); 
                   4344:     }
1.126     brouard  4345:     vv[i]=1.0/big; 
                   4346:   } 
                   4347:   for (j=1;j<=n;j++) { 
                   4348:     for (i=1;i<j;i++) { 
                   4349:       sum=a[i][j]; 
                   4350:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   4351:       a[i][j]=sum; 
                   4352:     } 
                   4353:     big=0.0; 
                   4354:     for (i=j;i<=n;i++) { 
                   4355:       sum=a[i][j]; 
                   4356:       for (k=1;k<j;k++) 
                   4357:        sum -= a[i][k]*a[k][j]; 
                   4358:       a[i][j]=sum; 
                   4359:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   4360:        big=dum; 
                   4361:        imax=i; 
                   4362:       } 
                   4363:     } 
                   4364:     if (j != imax) { 
                   4365:       for (k=1;k<=n;k++) { 
                   4366:        dum=a[imax][k]; 
                   4367:        a[imax][k]=a[j][k]; 
                   4368:        a[j][k]=dum; 
                   4369:       } 
                   4370:       *d = -(*d); 
                   4371:       vv[imax]=vv[j]; 
                   4372:     } 
                   4373:     indx[j]=imax; 
                   4374:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   4375:     if (j != n) { 
                   4376:       dum=1.0/(a[j][j]); 
                   4377:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   4378:     } 
                   4379:   } 
                   4380:   free_vector(vv,1,n);  /* Doesn't work */
                   4381: ;
                   4382: } 
                   4383: 
                   4384: void lubksb(double **a, int n, int *indx, double b[]) 
                   4385: { 
                   4386:   int i,ii=0,ip,j; 
                   4387:   double sum; 
                   4388:  
                   4389:   for (i=1;i<=n;i++) { 
                   4390:     ip=indx[i]; 
                   4391:     sum=b[ip]; 
                   4392:     b[ip]=b[i]; 
                   4393:     if (ii) 
                   4394:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   4395:     else if (sum) ii=i; 
                   4396:     b[i]=sum; 
                   4397:   } 
                   4398:   for (i=n;i>=1;i--) { 
                   4399:     sum=b[i]; 
                   4400:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   4401:     b[i]=sum/a[i][i]; 
                   4402:   } 
                   4403: } 
                   4404: 
                   4405: void pstamp(FILE *fichier)
                   4406: {
1.196     brouard  4407:   fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
1.126     brouard  4408: }
                   4409: 
1.253     brouard  4410: 
                   4411: 
1.126     brouard  4412: /************ Frequencies ********************/
1.251     brouard  4413: void  freqsummary(char fileres[], double p[], double pstart[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, \
1.226     brouard  4414:                  int *Tvaraff, int *invalidvarcomb, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[], \
                   4415:                  int firstpass,  int lastpass, int stepm, int weightopt, char model[])
1.250     brouard  4416: {  /* Some frequencies as well as proposing some starting values */
1.226     brouard  4417:   
1.265     brouard  4418:   int i, m, jk, j1, bool, z1,j, nj, nl, k, iv, jj=0, s1=1, s2=1;
1.226     brouard  4419:   int iind=0, iage=0;
                   4420:   int mi; /* Effective wave */
                   4421:   int first;
                   4422:   double ***freq; /* Frequencies */
1.268     brouard  4423:   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 */
                   4424:   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  4425:   double *meanq, *stdq, *idq;
1.226     brouard  4426:   double **meanqt;
                   4427:   double *pp, **prop, *posprop, *pospropt;
                   4428:   double pos=0., posproptt=0., pospropta=0., k2, dateintsum=0,k2cpt=0;
                   4429:   char fileresp[FILENAMELENGTH], fileresphtm[FILENAMELENGTH], fileresphtmfr[FILENAMELENGTH];
                   4430:   double agebegin, ageend;
                   4431:     
                   4432:   pp=vector(1,nlstate);
1.251     brouard  4433:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+4+AGEMARGE); 
1.226     brouard  4434:   posprop=vector(1,nlstate); /* Counting the number of transition starting from a live state per age */ 
                   4435:   pospropt=vector(1,nlstate); /* Counting the number of transition starting from a live state */ 
                   4436:   /* prop=matrix(1,nlstate,iagemin,iagemax+3); */
                   4437:   meanq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.284     brouard  4438:   stdq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.283     brouard  4439:   idq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.226     brouard  4440:   meanqt=matrix(1,lastpass,1,nqtveff);
                   4441:   strcpy(fileresp,"P_");
                   4442:   strcat(fileresp,fileresu);
                   4443:   /*strcat(fileresphtm,fileresu);*/
                   4444:   if((ficresp=fopen(fileresp,"w"))==NULL) {
                   4445:     printf("Problem with prevalence resultfile: %s\n", fileresp);
                   4446:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
                   4447:     exit(0);
                   4448:   }
1.240     brouard  4449:   
1.226     brouard  4450:   strcpy(fileresphtm,subdirfext(optionfilefiname,"PHTM_",".htm"));
                   4451:   if((ficresphtm=fopen(fileresphtm,"w"))==NULL) {
                   4452:     printf("Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   4453:     fprintf(ficlog,"Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   4454:     fflush(ficlog);
                   4455:     exit(70); 
                   4456:   }
                   4457:   else{
                   4458:     fprintf(ficresphtm,"<html><head>\n<title>IMaCh PHTM_ %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
1.240     brouard  4459: <hr size=\"2\" color=\"#EC5E5E\"> \n                                   \
1.214     brouard  4460: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  4461:            fileresphtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   4462:   }
1.237     brouard  4463:   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  4464:   
1.226     brouard  4465:   strcpy(fileresphtmfr,subdirfext(optionfilefiname,"PHTMFR_",".htm"));
                   4466:   if((ficresphtmfr=fopen(fileresphtmfr,"w"))==NULL) {
                   4467:     printf("Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   4468:     fprintf(ficlog,"Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   4469:     fflush(ficlog);
                   4470:     exit(70); 
1.240     brouard  4471:   } else{
1.226     brouard  4472:     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  4473: <hr size=\"2\" color=\"#EC5E5E\"> \n                                   \
1.214     brouard  4474: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  4475:            fileresphtmfr,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   4476:   }
1.240     brouard  4477:   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);
                   4478:   
1.253     brouard  4479:   y= vector(iagemin-AGEMARGE,iagemax+4+AGEMARGE);
                   4480:   x= vector(iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.251     brouard  4481:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.226     brouard  4482:   j1=0;
1.126     brouard  4483:   
1.227     brouard  4484:   /* j=ncoveff;  /\* Only fixed dummy covariates *\/ */
                   4485:   j=cptcoveff;  /* Only dummy covariates of the model */
1.226     brouard  4486:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.240     brouard  4487:   
                   4488:   
1.226     brouard  4489:   /* Detects if a combination j1 is empty: for a multinomial variable like 3 education levels:
                   4490:      reference=low_education V1=0,V2=0
                   4491:      med_educ                V1=1 V2=0, 
                   4492:      high_educ               V1=0 V2=1
                   4493:      Then V1=1 and V2=1 is a noisy combination that we want to exclude for the list 2**cptcoveff 
                   4494:   */
1.249     brouard  4495:   dateintsum=0;
                   4496:   k2cpt=0;
                   4497: 
1.253     brouard  4498:   if(cptcoveff == 0 )
1.265     brouard  4499:     nl=1;  /* Constant and age model only */
1.253     brouard  4500:   else
                   4501:     nl=2;
1.265     brouard  4502: 
                   4503:   /* if a constant only model, one pass to compute frequency tables and to write it on ficresp */
                   4504:   /* Loop on nj=1 or 2 if dummy covariates j!=0
                   4505:    *   Loop on j1(1 to 2**cptcoveff) covariate combination
                   4506:    *     freq[s1][s2][iage] =0.
                   4507:    *     Loop on iind
                   4508:    *       ++freq[s1][s2][iage] weighted
                   4509:    *     end iind
                   4510:    *     if covariate and j!0
                   4511:    *       headers Variable on one line
                   4512:    *     endif cov j!=0
                   4513:    *     header of frequency table by age
                   4514:    *     Loop on age
                   4515:    *       pp[s1]+=freq[s1][s2][iage] weighted
                   4516:    *       pos+=freq[s1][s2][iage] weighted
                   4517:    *       Loop on s1 initial state
                   4518:    *         fprintf(ficresp
                   4519:    *       end s1
                   4520:    *     end age
                   4521:    *     if j!=0 computes starting values
                   4522:    *     end compute starting values
                   4523:    *   end j1
                   4524:    * end nl 
                   4525:    */
1.253     brouard  4526:   for (nj = 1; nj <= nl; nj++){   /* nj= 1 constant model, nl number of loops. */
                   4527:     if(nj==1)
                   4528:       j=0;  /* First pass for the constant */
1.265     brouard  4529:     else{
1.253     brouard  4530:       j=cptcoveff; /* Other passes for the covariate values */
1.265     brouard  4531:     }
1.251     brouard  4532:     first=1;
1.265     brouard  4533:     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  4534:       posproptt=0.;
                   4535:       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
                   4536:        scanf("%d", i);*/
                   4537:       for (i=-5; i<=nlstate+ndeath; i++)  
1.265     brouard  4538:        for (s2=-5; s2<=nlstate+ndeath; s2++)  
1.251     brouard  4539:          for(m=iagemin; m <= iagemax+3; m++)
1.265     brouard  4540:            freq[i][s2][m]=0;
1.251     brouard  4541:       
                   4542:       for (i=1; i<=nlstate; i++)  {
1.240     brouard  4543:        for(m=iagemin; m <= iagemax+3; m++)
1.251     brouard  4544:          prop[i][m]=0;
                   4545:        posprop[i]=0;
                   4546:        pospropt[i]=0;
                   4547:       }
1.283     brouard  4548:       for (z1=1; z1<= nqfveff; z1++) { /* zeroing for each combination j1 as well as for the total */
1.284     brouard  4549:         idq[z1]=0.;
                   4550:         meanq[z1]=0.;
                   4551:         stdq[z1]=0.;
1.283     brouard  4552:       }
                   4553:       /* for (z1=1; z1<= nqtveff; z1++) { */
1.251     brouard  4554:       /*   for(m=1;m<=lastpass;m++){ */
1.283     brouard  4555:       /*         meanqt[m][z1]=0.; */
                   4556:       /*       } */
                   4557:       /* }       */
1.251     brouard  4558:       /* dateintsum=0; */
                   4559:       /* k2cpt=0; */
                   4560:       
1.265     brouard  4561:       /* For that combination of covariates j1 (V4=1 V3=0 for example), we count and print the frequencies in one pass */
1.251     brouard  4562:       for (iind=1; iind<=imx; iind++) { /* For each individual iind */
                   4563:        bool=1;
                   4564:        if(j !=0){
                   4565:          if(anyvaryingduminmodel==0){ /* If All fixed covariates */
                   4566:            if (cptcoveff >0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
                   4567:              for (z1=1; z1<=cptcoveff; z1++) { /* loops on covariates in the model */
                   4568:                /* if(Tvaraff[z1] ==-20){ */
                   4569:                /*       /\* sumnew+=cotvar[mw[mi][iind]][z1][iind]; *\/ */
                   4570:                /* }else  if(Tvaraff[z1] ==-10){ */
                   4571:                /*       /\* sumnew+=coqvar[z1][iind]; *\/ */
                   4572:                /* }else  */
                   4573:                if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){ /* for combination j1 of covariates */
1.265     brouard  4574:                  /* Tests if the value of the covariate z1 for this individual iind responded to combination j1 (V4=1 V3=0) */
1.251     brouard  4575:                  bool=0; /* bool should be equal to 1 to be selected, one covariate value failed */
                   4576:                  /* 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", 
                   4577:                     bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
                   4578:                     j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
                   4579:                  /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
                   4580:                } /* Onlyf fixed */
                   4581:              } /* end z1 */
                   4582:            } /* cptcovn > 0 */
                   4583:          } /* end any */
                   4584:        }/* end j==0 */
1.265     brouard  4585:        if (bool==1){ /* We selected an individual iind satisfying combination j1 (V4=1 V3=0) or all fixed covariates */
1.251     brouard  4586:          /* for(m=firstpass; m<=lastpass; m++){ */
1.284     brouard  4587:          for(mi=1; mi<wav[iind];mi++){ /* For each wave */
1.251     brouard  4588:            m=mw[mi][iind];
                   4589:            if(j!=0){
                   4590:              if(anyvaryingduminmodel==1){ /* Some are varying covariates */
                   4591:                for (z1=1; z1<=cptcoveff; z1++) {
                   4592:                  if( Fixed[Tmodelind[z1]]==1){
                   4593:                    iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   4594:                    if (cotvar[m][iv][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality. If covariate's 
                   4595:                                                                                      value is -1, we don't select. It differs from the 
                   4596:                                                                                      constant and age model which counts them. */
                   4597:                      bool=0; /* not selected */
                   4598:                  }else if( Fixed[Tmodelind[z1]]== 0) { /* fixed */
                   4599:                    if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   4600:                      bool=0;
                   4601:                    }
                   4602:                  }
                   4603:                }
                   4604:              }/* Some are varying covariates, we tried to speed up if all fixed covariates in the model, avoiding waves loop  */
                   4605:            } /* end j==0 */
                   4606:            /* bool =0 we keep that guy which corresponds to the combination of dummy values */
1.284     brouard  4607:            if(bool==1){ /*Selected */
1.251     brouard  4608:              /* dh[m][iind] or dh[mw[mi][iind]][iind] is the delay between two effective (mi) waves m=mw[mi][iind]
                   4609:                 and mw[mi+1][iind]. dh depends on stepm. */
                   4610:              agebegin=agev[m][iind]; /* Age at beginning of wave before transition*/
                   4611:              ageend=agev[m][iind]+(dh[m][iind])*stepm/YEARM; /* Age at end of wave and transition */
                   4612:              if(m >=firstpass && m <=lastpass){
                   4613:                k2=anint[m][iind]+(mint[m][iind]/12.);
                   4614:                /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   4615:                if(agev[m][iind]==0) agev[m][iind]=iagemax+1;  /* All ages equal to 0 are in iagemax+1 */
                   4616:                if(agev[m][iind]==1) agev[m][iind]=iagemax+2;  /* All ages equal to 1 are in iagemax+2 */
                   4617:                if (s[m][iind]>0 && s[m][iind]<=nlstate)  /* If status at wave m is known and a live state */
                   4618:                  prop[s[m][iind]][(int)agev[m][iind]] += weight[iind];  /* At age of beginning of transition, where status is known */
                   4619:                if (m<lastpass) {
                   4620:                  /* if(s[m][iind]==4 && s[m+1][iind]==4) */
                   4621:                  /*   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]); */
                   4622:                  if(s[m][iind]==-1)
                   4623:                    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.));
                   4624:                  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  4625:                  for (z1=1; z1<= nqfveff; z1++) { /* Quantitative variables, calculating mean */
                   4626:                    idq[z1]=idq[z1]+weight[iind];
                   4627:                    meanq[z1]+=covar[ncovcol+z1][iind]*weight[iind];  /* Computes mean of quantitative with selected filter */
                   4628:                    stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]*weight[iind]; /* *weight[iind];*/  /* Computes mean of quantitative with selected filter */
                   4629:                  }
1.251     brouard  4630:                  /* if((int)agev[m][iind] == 55) */
                   4631:                  /*   printf("j=%d, j1=%d Age %d, iind=%d, num=%09ld m=%d\n",j,j1,(int)agev[m][iind],iind, num[iind],m); */
                   4632:                  /* freq[s[m][iind]][s[m+1][iind]][(int)((agebegin+ageend)/2.)] += weight[iind]; */
                   4633:                  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  4634:                }
1.251     brouard  4635:              } /* end if between passes */  
                   4636:              if ((agev[m][iind]>1) && (agev[m][iind]< (iagemax+3)) && (anint[m][iind]!=9999) && (mint[m][iind]!=99) && (j==0)) {
                   4637:                dateintsum=dateintsum+k2; /* on all covariates ?*/
                   4638:                k2cpt++;
                   4639:                /* printf("iind=%ld dateintmean = %lf dateintsum=%lf k2cpt=%lf k2=%lf\n",iind, dateintsum/k2cpt, dateintsum,k2cpt, k2); */
1.234     brouard  4640:              }
1.251     brouard  4641:            }else{
                   4642:              bool=1;
                   4643:            }/* end bool 2 */
                   4644:          } /* end m */
1.284     brouard  4645:          /* for (z1=1; z1<= nqfveff; z1++) { /\* Quantitative variables, calculating mean *\/ */
                   4646:          /*   idq[z1]=idq[z1]+weight[iind]; */
                   4647:          /*   meanq[z1]+=covar[ncovcol+z1][iind]*weight[iind];  /\* Computes mean of quantitative with selected filter *\/ */
                   4648:          /*   stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]*weight[iind]; /\* *weight[iind];*\/  /\* Computes mean of quantitative with selected filter *\/ */
                   4649:          /* } */
1.251     brouard  4650:        } /* end bool */
                   4651:       } /* end iind = 1 to imx */
                   4652:       /* prop[s][age] is feeded for any initial and valid live state as well as
                   4653:         freq[s1][s2][age] at single age of beginning the transition, for a combination j1 */
                   4654:       
                   4655:       
                   4656:       /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
1.265     brouard  4657:       if(cptcoveff==0 && nj==1) /* no covariate and first pass */
                   4658:         pstamp(ficresp);
1.251     brouard  4659:       if  (cptcoveff>0 && j!=0){
1.265     brouard  4660:         pstamp(ficresp);
1.251     brouard  4661:        printf( "\n#********** Variable "); 
                   4662:        fprintf(ficresp, "\n#********** Variable "); 
                   4663:        fprintf(ficresphtm, "\n<br/><br/><h3>********** Variable "); 
                   4664:        fprintf(ficresphtmfr, "\n<br/><br/><h3>********** Variable "); 
                   4665:        fprintf(ficlog, "\n#********** Variable "); 
                   4666:        for (z1=1; z1<=cptcoveff; z1++){
                   4667:          if(!FixedV[Tvaraff[z1]]){
                   4668:            printf( "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4669:            fprintf(ficresp, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4670:            fprintf(ficresphtm, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4671:            fprintf(ficresphtmfr, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4672:            fprintf(ficlog, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.250     brouard  4673:          }else{
1.251     brouard  4674:            printf( "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4675:            fprintf(ficresp, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4676:            fprintf(ficresphtm, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4677:            fprintf(ficresphtmfr, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4678:            fprintf(ficlog, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4679:          }
                   4680:        }
                   4681:        printf( "**********\n#");
                   4682:        fprintf(ficresp, "**********\n#");
                   4683:        fprintf(ficresphtm, "**********</h3>\n");
                   4684:        fprintf(ficresphtmfr, "**********</h3>\n");
                   4685:        fprintf(ficlog, "**********\n");
                   4686:       }
1.284     brouard  4687:       /*
                   4688:        Printing means of quantitative variables if any
                   4689:       */
                   4690:       for (z1=1; z1<= nqfveff; z1++) {
1.285     brouard  4691:        fprintf(ficlog,"Mean of fixed quantitative variable V%d on %.0f individuals sum=%f", ncovcol+z1, idq[z1], meanq[z1]);
1.284     brouard  4692:        fprintf(ficlog,", mean=%.3g\n",meanq[z1]/idq[z1]);
                   4693:        if(weightopt==1){
                   4694:          printf(" Weighted mean and standard deviation of");
                   4695:          fprintf(ficlog," Weighted mean and standard deviation of");
                   4696:          fprintf(ficresphtmfr," Weighted mean and standard deviation of");
                   4697:        }
1.285     brouard  4698:        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]));
                   4699:        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]));
                   4700:        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  4701:       }
                   4702:       /* for (z1=1; z1<= nqtveff; z1++) { */
                   4703:       /*       for(m=1;m<=lastpass;m++){ */
                   4704:       /*         fprintf(ficresphtmfr,"V quantitative id %d, pass id=%d, mean=%f<p>\n", z1, m, meanqt[m][z1]); */
                   4705:       /*   } */
                   4706:       /* } */
1.283     brouard  4707: 
1.251     brouard  4708:       fprintf(ficresphtm,"<table style=\"text-align:center; border: 1px solid\">");
1.265     brouard  4709:       if((cptcoveff==0 && nj==1)|| nj==2 ) /* no covariate and first pass */
                   4710:         fprintf(ficresp, " Age");
                   4711:       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  4712:       for(i=1; i<=nlstate;i++) {
1.265     brouard  4713:        if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp," Prev(%d)  N(%d)  N  ",i,i);
1.251     brouard  4714:        fprintf(ficresphtm, "<th>Age</th><th>Prev(%d)</th><th>N(%d)</th><th>N</th>",i,i);
                   4715:       }
1.265     brouard  4716:       if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp, "\n");
1.251     brouard  4717:       fprintf(ficresphtm, "\n");
                   4718:       
                   4719:       /* Header of frequency table by age */
                   4720:       fprintf(ficresphtmfr,"<table style=\"text-align:center; border: 1px solid\">");
                   4721:       fprintf(ficresphtmfr,"<th>Age</th> ");
1.265     brouard  4722:       for(s2=-1; s2 <=nlstate+ndeath; s2++){
1.251     brouard  4723:        for(m=-1; m <=nlstate+ndeath; m++){
1.265     brouard  4724:          if(s2!=0 && m!=0)
                   4725:            fprintf(ficresphtmfr,"<th>%d%d</th> ",s2,m);
1.240     brouard  4726:        }
1.226     brouard  4727:       }
1.251     brouard  4728:       fprintf(ficresphtmfr, "\n");
                   4729:     
                   4730:       /* For each age */
                   4731:       for(iage=iagemin; iage <= iagemax+3; iage++){
                   4732:        fprintf(ficresphtm,"<tr>");
                   4733:        if(iage==iagemax+1){
                   4734:          fprintf(ficlog,"1");
                   4735:          fprintf(ficresphtmfr,"<tr><th>0</th> ");
                   4736:        }else if(iage==iagemax+2){
                   4737:          fprintf(ficlog,"0");
                   4738:          fprintf(ficresphtmfr,"<tr><th>Unknown</th> ");
                   4739:        }else if(iage==iagemax+3){
                   4740:          fprintf(ficlog,"Total");
                   4741:          fprintf(ficresphtmfr,"<tr><th>Total</th> ");
                   4742:        }else{
1.240     brouard  4743:          if(first==1){
1.251     brouard  4744:            first=0;
                   4745:            printf("See log file for details...\n");
                   4746:          }
                   4747:          fprintf(ficresphtmfr,"<tr><th>%d</th> ",iage);
                   4748:          fprintf(ficlog,"Age %d", iage);
                   4749:        }
1.265     brouard  4750:        for(s1=1; s1 <=nlstate ; s1++){
                   4751:          for(m=-1, pp[s1]=0; m <=nlstate+ndeath ; m++)
                   4752:            pp[s1] += freq[s1][m][iage]; 
1.251     brouard  4753:        }
1.265     brouard  4754:        for(s1=1; s1 <=nlstate ; s1++){
1.251     brouard  4755:          for(m=-1, pos=0; m <=0 ; m++)
1.265     brouard  4756:            pos += freq[s1][m][iage];
                   4757:          if(pp[s1]>=1.e-10){
1.251     brouard  4758:            if(first==1){
1.265     brouard  4759:              printf(" %d.=%.0f loss[%d]=%.1f%%",s1,pp[s1],s1,100*pos/pp[s1]);
1.251     brouard  4760:            }
1.265     brouard  4761:            fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",s1,pp[s1],s1,100*pos/pp[s1]);
1.251     brouard  4762:          }else{
                   4763:            if(first==1)
1.265     brouard  4764:              printf(" %d.=%.0f loss[%d]=NaNQ%%",s1,pp[s1],s1);
                   4765:            fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",s1,pp[s1],s1);
1.240     brouard  4766:          }
                   4767:        }
                   4768:       
1.265     brouard  4769:        for(s1=1; s1 <=nlstate ; s1++){ 
                   4770:          /* posprop[s1]=0; */
                   4771:          for(m=0, pp[s1]=0; m <=nlstate+ndeath; m++)/* Summing on all ages */
                   4772:            pp[s1] += freq[s1][m][iage];
                   4773:        }       /* pp[s1] is the total number of transitions starting from state s1 and any ending status until this age */
                   4774:       
                   4775:        for(s1=1,pos=0, pospropta=0.; s1 <=nlstate ; s1++){
                   4776:          pos += pp[s1]; /* pos is the total number of transitions until this age */
                   4777:          posprop[s1] += prop[s1][iage]; /* prop is the number of transitions from a live state
                   4778:                                            from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4779:          pospropta += prop[s1][iage]; /* prop is the number of transitions from a live state
                   4780:                                          from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4781:        }
                   4782:        
                   4783:        /* Writing ficresp */
                   4784:        if(cptcoveff==0 && nj==1){ /* no covariate and first pass */
                   4785:           if( iage <= iagemax){
                   4786:            fprintf(ficresp," %d",iage);
                   4787:           }
                   4788:         }else if( nj==2){
                   4789:           if( iage <= iagemax){
                   4790:            fprintf(ficresp," %d",iage);
                   4791:             for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, " %d %d",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4792:           }
1.240     brouard  4793:        }
1.265     brouard  4794:        for(s1=1; s1 <=nlstate ; s1++){
1.240     brouard  4795:          if(pos>=1.e-5){
1.251     brouard  4796:            if(first==1)
1.265     brouard  4797:              printf(" %d.=%.0f prev[%d]=%.1f%%",s1,pp[s1],s1,100*pp[s1]/pos);
                   4798:            fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",s1,pp[s1],s1,100*pp[s1]/pos);
1.251     brouard  4799:          }else{
                   4800:            if(first==1)
1.265     brouard  4801:              printf(" %d.=%.0f prev[%d]=NaNQ%%",s1,pp[s1],s1);
                   4802:            fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",s1,pp[s1],s1);
1.251     brouard  4803:          }
                   4804:          if( iage <= iagemax){
                   4805:            if(pos>=1.e-5){
1.265     brouard  4806:              if(cptcoveff==0 && nj==1){ /* no covariate and first pass */
                   4807:                fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   4808:               }else if( nj==2){
                   4809:                fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   4810:               }
                   4811:              fprintf(ficresphtm,"<th>%d</th><td>%.5f</td><td>%.0f</td><td>%.0f</td>",iage,prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   4812:              /*probs[iage][s1][j1]= pp[s1]/pos;*/
                   4813:              /*printf("\niage=%d s1=%d j1=%d %.5f %.0f %.0f %f",iage,s1,j1,pp[s1]/pos, pp[s1],pos,probs[iage][s1][j1]);*/
                   4814:            } else{
                   4815:              if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp," NaNq %.0f %.0f",prop[s1][iage],pospropta);
                   4816:              fprintf(ficresphtm,"<th>%d</th><td>NaNq</td><td>%.0f</td><td>%.0f</td>",iage, prop[s1][iage],pospropta);
1.251     brouard  4817:            }
1.240     brouard  4818:          }
1.265     brouard  4819:          pospropt[s1] +=posprop[s1];
                   4820:        } /* end loop s1 */
1.251     brouard  4821:        /* pospropt=0.; */
1.265     brouard  4822:        for(s1=-1; s1 <=nlstate+ndeath; s1++){
1.251     brouard  4823:          for(m=-1; m <=nlstate+ndeath; m++){
1.265     brouard  4824:            if(freq[s1][m][iage] !=0 ) { /* minimizing output */
1.251     brouard  4825:              if(first==1){
1.265     brouard  4826:                printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]);
1.251     brouard  4827:              }
1.265     brouard  4828:              /* printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]); */
                   4829:              fprintf(ficlog," %d%d=%.0f",s1,m,freq[s1][m][iage]);
1.251     brouard  4830:            }
1.265     brouard  4831:            if(s1!=0 && m!=0)
                   4832:              fprintf(ficresphtmfr,"<td>%.0f</td> ",freq[s1][m][iage]);
1.240     brouard  4833:          }
1.265     brouard  4834:        } /* end loop s1 */
1.251     brouard  4835:        posproptt=0.; 
1.265     brouard  4836:        for(s1=1; s1 <=nlstate; s1++){
                   4837:          posproptt += pospropt[s1];
1.251     brouard  4838:        }
                   4839:        fprintf(ficresphtmfr,"</tr>\n ");
1.265     brouard  4840:        fprintf(ficresphtm,"</tr>\n");
                   4841:        if((cptcoveff==0 && nj==1)|| nj==2 ) {
                   4842:          if(iage <= iagemax)
                   4843:            fprintf(ficresp,"\n");
1.240     brouard  4844:        }
1.251     brouard  4845:        if(first==1)
                   4846:          printf("Others in log...\n");
                   4847:        fprintf(ficlog,"\n");
                   4848:       } /* end loop age iage */
1.265     brouard  4849:       
1.251     brouard  4850:       fprintf(ficresphtm,"<tr><th>Tot</th>");
1.265     brouard  4851:       for(s1=1; s1 <=nlstate ; s1++){
1.251     brouard  4852:        if(posproptt < 1.e-5){
1.265     brouard  4853:          fprintf(ficresphtm,"<td>Nanq</td><td>%.0f</td><td>%.0f</td>",pospropt[s1],posproptt); 
1.251     brouard  4854:        }else{
1.265     brouard  4855:          fprintf(ficresphtm,"<td>%.5f</td><td>%.0f</td><td>%.0f</td>",pospropt[s1]/posproptt,pospropt[s1],posproptt);  
1.240     brouard  4856:        }
1.226     brouard  4857:       }
1.251     brouard  4858:       fprintf(ficresphtm,"</tr>\n");
                   4859:       fprintf(ficresphtm,"</table>\n");
                   4860:       fprintf(ficresphtmfr,"</table>\n");
1.226     brouard  4861:       if(posproptt < 1.e-5){
1.251     brouard  4862:        fprintf(ficresphtm,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
                   4863:        fprintf(ficresphtmfr,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
1.260     brouard  4864:        fprintf(ficlog,"#  This combination (%d) is not valid and no result will be produced\n",j1);
                   4865:        printf("#  This combination (%d) is not valid and no result will be produced\n",j1);
1.251     brouard  4866:        invalidvarcomb[j1]=1;
1.226     brouard  4867:       }else{
1.251     brouard  4868:        fprintf(ficresphtm,"\n <p> This combination (%d) is valid and result will be produced.</p>",j1);
                   4869:        invalidvarcomb[j1]=0;
1.226     brouard  4870:       }
1.251     brouard  4871:       fprintf(ficresphtmfr,"</table>\n");
                   4872:       fprintf(ficlog,"\n");
                   4873:       if(j!=0){
                   4874:        printf("#Freqsummary: Starting values for combination j1=%d:\n", j1);
1.265     brouard  4875:        for(i=1,s1=1; i <=nlstate; i++){
1.251     brouard  4876:          for(k=1; k <=(nlstate+ndeath); k++){
                   4877:            if (k != i) {
1.265     brouard  4878:              for(jj=1; jj <=ncovmodel; jj++){ /* For counting s1 */
1.253     brouard  4879:                if(jj==1){  /* Constant case (in fact cste + age) */
1.251     brouard  4880:                  if(j1==1){ /* All dummy covariates to zero */
                   4881:                    freq[i][k][iagemax+4]=freq[i][k][iagemax+3]; /* Stores case 0 0 0 */
                   4882:                    freq[i][i][iagemax+4]=freq[i][i][iagemax+3]; /* Stores case 0 0 0 */
1.252     brouard  4883:                    printf("%d%d ",i,k);
                   4884:                    fprintf(ficlog,"%d%d ",i,k);
1.265     brouard  4885:                    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]));
                   4886:                    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]));
                   4887:                    pstart[s1]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]);
1.251     brouard  4888:                  }
1.253     brouard  4889:                }else if((j1==1) && (jj==2 || nagesqr==1)){ /* age or age*age parameter without covariate V4*age (to be done later) */
                   4890:                  for(iage=iagemin; iage <= iagemax+3; iage++){
                   4891:                    x[iage]= (double)iage;
                   4892:                    y[iage]= log(freq[i][k][iage]/freq[i][i][iage]);
1.265     brouard  4893:                    /* 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  4894:                  }
1.268     brouard  4895:                  /* Some are not finite, but linreg will ignore these ages */
                   4896:                  no=0;
1.253     brouard  4897:                  linreg(iagemin,iagemax,&no,x,y,&a,&b,&r, &sa, &sb ); /* y= a+b*x with standard errors */
1.265     brouard  4898:                  pstart[s1]=b;
                   4899:                  pstart[s1-1]=a;
1.252     brouard  4900:                }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 */ 
                   4901:                  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]);
                   4902:                  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  4903:                  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  4904:                  printf("%d%d ",i,k);
                   4905:                  fprintf(ficlog,"%d%d ",i,k);
1.265     brouard  4906:                  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  4907:                }else{ /* Other cases, like quantitative fixed or varying covariates */
                   4908:                  ;
                   4909:                }
                   4910:                /* printf("%12.7f )", param[i][jj][k]); */
                   4911:                /* fprintf(ficlog,"%12.7f )", param[i][jj][k]); */
1.265     brouard  4912:                s1++; 
1.251     brouard  4913:              } /* end jj */
                   4914:            } /* end k!= i */
                   4915:          } /* end k */
1.265     brouard  4916:        } /* end i, s1 */
1.251     brouard  4917:       } /* end j !=0 */
                   4918:     } /* end selected combination of covariate j1 */
                   4919:     if(j==0){ /* We can estimate starting values from the occurences in each case */
                   4920:       printf("#Freqsummary: Starting values for the constants:\n");
                   4921:       fprintf(ficlog,"\n");
1.265     brouard  4922:       for(i=1,s1=1; i <=nlstate; i++){
1.251     brouard  4923:        for(k=1; k <=(nlstate+ndeath); k++){
                   4924:          if (k != i) {
                   4925:            printf("%d%d ",i,k);
                   4926:            fprintf(ficlog,"%d%d ",i,k);
                   4927:            for(jj=1; jj <=ncovmodel; jj++){
1.265     brouard  4928:              pstart[s1]=p[s1]; /* Setting pstart to p values by default */
1.253     brouard  4929:              if(jj==1){ /* Age has to be done */
1.265     brouard  4930:                pstart[s1]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]);
                   4931:                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]));
                   4932:                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  4933:              }
                   4934:              /* printf("%12.7f )", param[i][jj][k]); */
                   4935:              /* fprintf(ficlog,"%12.7f )", param[i][jj][k]); */
1.265     brouard  4936:              s1++; 
1.250     brouard  4937:            }
1.251     brouard  4938:            printf("\n");
                   4939:            fprintf(ficlog,"\n");
1.250     brouard  4940:          }
                   4941:        }
1.284     brouard  4942:       } /* end of state i */
1.251     brouard  4943:       printf("#Freqsummary\n");
                   4944:       fprintf(ficlog,"\n");
1.265     brouard  4945:       for(s1=-1; s1 <=nlstate+ndeath; s1++){
                   4946:        for(s2=-1; s2 <=nlstate+ndeath; s2++){
                   4947:          /* param[i]|j][k]= freq[s1][s2][iagemax+3] */
                   4948:          printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]);
                   4949:          fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]);
                   4950:          /* if(freq[s1][s2][iage] !=0 ) { /\* minimizing output *\/ */
                   4951:          /*   printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); */
                   4952:          /*   fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); */
1.251     brouard  4953:          /* } */
                   4954:        }
1.265     brouard  4955:       } /* end loop s1 */
1.251     brouard  4956:       
                   4957:       printf("\n");
                   4958:       fprintf(ficlog,"\n");
                   4959:     } /* end j=0 */
1.249     brouard  4960:   } /* end j */
1.252     brouard  4961: 
1.253     brouard  4962:   if(mle == -2){  /* We want to use these values as starting values */
1.252     brouard  4963:     for(i=1, jk=1; i <=nlstate; i++){
                   4964:       for(j=1; j <=nlstate+ndeath; j++){
                   4965:        if(j!=i){
                   4966:          /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   4967:          printf("%1d%1d",i,j);
                   4968:          fprintf(ficparo,"%1d%1d",i,j);
                   4969:          for(k=1; k<=ncovmodel;k++){
                   4970:            /*    printf(" %lf",param[i][j][k]); */
                   4971:            /*    fprintf(ficparo," %lf",param[i][j][k]); */
                   4972:            p[jk]=pstart[jk];
                   4973:            printf(" %f ",pstart[jk]);
                   4974:            fprintf(ficparo," %f ",pstart[jk]);
                   4975:            jk++;
                   4976:          }
                   4977:          printf("\n");
                   4978:          fprintf(ficparo,"\n");
                   4979:        }
                   4980:       }
                   4981:     }
                   4982:   } /* end mle=-2 */
1.226     brouard  4983:   dateintmean=dateintsum/k2cpt; 
1.296   ! brouard  4984:   date2dmy(dateintmean,&jintmean,&mintmean,&aintmean);
1.240     brouard  4985:   
1.226     brouard  4986:   fclose(ficresp);
                   4987:   fclose(ficresphtm);
                   4988:   fclose(ficresphtmfr);
1.283     brouard  4989:   free_vector(idq,1,nqfveff);
1.226     brouard  4990:   free_vector(meanq,1,nqfveff);
1.284     brouard  4991:   free_vector(stdq,1,nqfveff);
1.226     brouard  4992:   free_matrix(meanqt,1,lastpass,1,nqtveff);
1.253     brouard  4993:   free_vector(x, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
                   4994:   free_vector(y, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.251     brouard  4995:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.226     brouard  4996:   free_vector(pospropt,1,nlstate);
                   4997:   free_vector(posprop,1,nlstate);
1.251     brouard  4998:   free_matrix(prop,1,nlstate,iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.226     brouard  4999:   free_vector(pp,1,nlstate);
                   5000:   /* End of freqsummary */
                   5001: }
1.126     brouard  5002: 
1.268     brouard  5003: /* Simple linear regression */
                   5004: int linreg(int ifi, int ila, int *no, const double x[], const double y[], double* a, double* b, double* r, double* sa, double * sb) {
                   5005: 
                   5006:   /* y=a+bx regression */
                   5007:   double   sumx = 0.0;                        /* sum of x                      */
                   5008:   double   sumx2 = 0.0;                       /* sum of x**2                   */
                   5009:   double   sumxy = 0.0;                       /* sum of x * y                  */
                   5010:   double   sumy = 0.0;                        /* sum of y                      */
                   5011:   double   sumy2 = 0.0;                       /* sum of y**2                   */
                   5012:   double   sume2 = 0.0;                       /* sum of square or residuals */
                   5013:   double yhat;
                   5014:   
                   5015:   double denom=0;
                   5016:   int i;
                   5017:   int ne=*no;
                   5018:   
                   5019:   for ( i=ifi, ne=0;i<=ila;i++) {
                   5020:     if(!isfinite(x[i]) || !isfinite(y[i])){
                   5021:       /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */
                   5022:       continue;
                   5023:     }
                   5024:     ne=ne+1;
                   5025:     sumx  += x[i];       
                   5026:     sumx2 += x[i]*x[i];  
                   5027:     sumxy += x[i] * y[i];
                   5028:     sumy  += y[i];      
                   5029:     sumy2 += y[i]*y[i]; 
                   5030:     denom = (ne * sumx2 - sumx*sumx);
                   5031:     /* 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); */
                   5032:   } 
                   5033:   
                   5034:   denom = (ne * sumx2 - sumx*sumx);
                   5035:   if (denom == 0) {
                   5036:     // vertical, slope m is infinity
                   5037:     *b = INFINITY;
                   5038:     *a = 0;
                   5039:     if (r) *r = 0;
                   5040:     return 1;
                   5041:   }
                   5042:   
                   5043:   *b = (ne * sumxy  -  sumx * sumy) / denom;
                   5044:   *a = (sumy * sumx2  -  sumx * sumxy) / denom;
                   5045:   if (r!=NULL) {
                   5046:     *r = (sumxy - sumx * sumy / ne) /          /* compute correlation coeff     */
                   5047:       sqrt((sumx2 - sumx*sumx/ne) *
                   5048:           (sumy2 - sumy*sumy/ne));
                   5049:   }
                   5050:   *no=ne;
                   5051:   for ( i=ifi, ne=0;i<=ila;i++) {
                   5052:     if(!isfinite(x[i]) || !isfinite(y[i])){
                   5053:       /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */
                   5054:       continue;
                   5055:     }
                   5056:     ne=ne+1;
                   5057:     yhat = y[i] - *a -*b* x[i];
                   5058:     sume2  += yhat * yhat ;       
                   5059:     
                   5060:     denom = (ne * sumx2 - sumx*sumx);
                   5061:     /* 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); */
                   5062:   } 
                   5063:   *sb = sqrt(sume2/(double)(ne-2)/(sumx2 - sumx * sumx /(double)ne));
                   5064:   *sa= *sb * sqrt(sumx2/ne);
                   5065:   
                   5066:   return 0; 
                   5067: }
                   5068: 
1.126     brouard  5069: /************ Prevalence ********************/
1.227     brouard  5070: 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)
                   5071: {  
                   5072:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   5073:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   5074:      We still use firstpass and lastpass as another selection.
                   5075:   */
1.126     brouard  5076:  
1.227     brouard  5077:   int i, m, jk, j1, bool, z1,j, iv;
                   5078:   int mi; /* Effective wave */
                   5079:   int iage;
                   5080:   double agebegin, ageend;
                   5081: 
                   5082:   double **prop;
                   5083:   double posprop; 
                   5084:   double  y2; /* in fractional years */
                   5085:   int iagemin, iagemax;
                   5086:   int first; /** to stop verbosity which is redirected to log file */
                   5087: 
                   5088:   iagemin= (int) agemin;
                   5089:   iagemax= (int) agemax;
                   5090:   /*pp=vector(1,nlstate);*/
1.251     brouard  5091:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+4+AGEMARGE); 
1.227     brouard  5092:   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   5093:   j1=0;
1.222     brouard  5094:   
1.227     brouard  5095:   /*j=cptcoveff;*/
                   5096:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.222     brouard  5097:   
1.288     brouard  5098:   first=0;
1.227     brouard  5099:   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ /* For each combination of covariate */
                   5100:     for (i=1; i<=nlstate; i++)  
1.251     brouard  5101:       for(iage=iagemin-AGEMARGE; iage <= iagemax+4+AGEMARGE; iage++)
1.227     brouard  5102:        prop[i][iage]=0.0;
                   5103:     printf("Prevalence combination of varying and fixed dummies %d\n",j1);
                   5104:     /* fprintf(ficlog," V%d=%d ",Tvaraff[j1],nbcode[Tvaraff[j1]][codtabm(k,j1)]); */
                   5105:     fprintf(ficlog,"Prevalence combination of varying and fixed dummies %d\n",j1);
                   5106:     
                   5107:     for (i=1; i<=imx; i++) { /* Each individual */
                   5108:       bool=1;
                   5109:       /* for(m=firstpass; m<=lastpass; m++){/\* Other selection (we can limit to certain interviews*\/ */
                   5110:       for(mi=1; mi<wav[i];mi++){ /* For this wave too look where individual can be counted V4=0 V3=0 */
                   5111:        m=mw[mi][i];
                   5112:        /* Tmodelind[z1]=k is the position of the varying covariate in the model, but which # within 1 to ntv? */
                   5113:        /* Tvar[Tmodelind[z1]] is the n of Vn; n-ncovcol-nqv is the first time varying covariate or iv */
                   5114:        for (z1=1; z1<=cptcoveff; z1++){
                   5115:          if( Fixed[Tmodelind[z1]]==1){
                   5116:            iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   5117:            if (cotvar[m][iv][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality */
                   5118:              bool=0;
                   5119:          }else if( Fixed[Tmodelind[z1]]== 0)  /* fixed */
                   5120:            if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   5121:              bool=0;
                   5122:            }
                   5123:        }
                   5124:        if(bool==1){ /* Otherwise we skip that wave/person */
                   5125:          agebegin=agev[m][i]; /* Age at beginning of wave before transition*/
                   5126:          /* ageend=agev[m][i]+(dh[m][i])*stepm/YEARM; /\* Age at end of wave and transition *\/ */
                   5127:          if(m >=firstpass && m <=lastpass){
                   5128:            y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                   5129:            if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                   5130:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   5131:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
1.251     brouard  5132:              if((int)agev[m][i] <iagemin-AGEMARGE || (int)agev[m][i] >iagemax+4+AGEMARGE){
1.227     brouard  5133:                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); 
                   5134:                exit(1);
                   5135:              }
                   5136:              if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   5137:                /*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]]);*/
                   5138:                prop[s[m][i]][(int)agev[m][i]] += weight[i];/* At age of beginning of transition, where status is known */
                   5139:                prop[s[m][i]][iagemax+3] += weight[i]; 
                   5140:              } /* end valid statuses */ 
                   5141:            } /* end selection of dates */
                   5142:          } /* end selection of waves */
                   5143:        } /* end bool */
                   5144:       } /* end wave */
                   5145:     } /* end individual */
                   5146:     for(i=iagemin; i <= iagemax+3; i++){  
                   5147:       for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
                   5148:        posprop += prop[jk][i]; 
                   5149:       } 
                   5150:       
                   5151:       for(jk=1; jk <=nlstate ; jk++){      
                   5152:        if( i <=  iagemax){ 
                   5153:          if(posprop>=1.e-5){ 
                   5154:            probs[i][jk][j1]= prop[jk][i]/posprop;
                   5155:          } else{
1.288     brouard  5156:            if(!first){
                   5157:              first=1;
1.266     brouard  5158:              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]);
                   5159:            }else{
1.288     brouard  5160:              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  5161:            }
                   5162:          }
                   5163:        } 
                   5164:       }/* end jk */ 
                   5165:     }/* end i */ 
1.222     brouard  5166:      /*} *//* end i1 */
1.227     brouard  5167:   } /* end j1 */
1.222     brouard  5168:   
1.227     brouard  5169:   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   5170:   /*free_vector(pp,1,nlstate);*/
1.251     brouard  5171:   free_matrix(prop,1,nlstate, iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.227     brouard  5172: }  /* End of prevalence */
1.126     brouard  5173: 
                   5174: /************* Waves Concatenation ***************/
                   5175: 
                   5176: 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)
                   5177: {
                   5178:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   5179:      Death is a valid wave (if date is known).
                   5180:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   5181:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   5182:      and mw[mi+1][i]. dh depends on stepm.
1.227     brouard  5183:   */
1.126     brouard  5184: 
1.224     brouard  5185:   int i=0, mi=0, m=0, mli=0;
1.126     brouard  5186:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   5187:      double sum=0., jmean=0.;*/
1.224     brouard  5188:   int first=0, firstwo=0, firsthree=0, firstfour=0, firstfiv=0;
1.126     brouard  5189:   int j, k=0,jk, ju, jl;
                   5190:   double sum=0.;
                   5191:   first=0;
1.214     brouard  5192:   firstwo=0;
1.217     brouard  5193:   firsthree=0;
1.218     brouard  5194:   firstfour=0;
1.164     brouard  5195:   jmin=100000;
1.126     brouard  5196:   jmax=-1;
                   5197:   jmean=0.;
1.224     brouard  5198: 
                   5199: /* Treating live states */
1.214     brouard  5200:   for(i=1; i<=imx; i++){  /* For simple cases and if state is death */
1.224     brouard  5201:     mi=0;  /* First valid wave */
1.227     brouard  5202:     mli=0; /* Last valid wave */
1.126     brouard  5203:     m=firstpass;
1.214     brouard  5204:     while(s[m][i] <= nlstate){  /* a live state */
1.227     brouard  5205:       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 */
                   5206:        mli=m-1;/* mw[++mi][i]=m-1; */
                   5207:       }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 */
                   5208:        mw[++mi][i]=m;
                   5209:        mli=m;
1.224     brouard  5210:       } /* else might be a useless wave  -1 and mi is not incremented and mw[mi] not updated */
                   5211:       if(m < lastpass){ /* m < lastpass, standard case */
1.227     brouard  5212:        m++; /* mi gives the "effective" current wave, m the current wave, go to next wave by incrementing m */
1.216     brouard  5213:       }
1.227     brouard  5214:       else{ /* m >= lastpass, eventual special issue with warning */
1.224     brouard  5215: #ifdef UNKNOWNSTATUSNOTCONTRIBUTING
1.227     brouard  5216:        break;
1.224     brouard  5217: #else
1.227     brouard  5218:        if(s[m][i]==-1 && (int) andc[i] == 9999 && (int)anint[m][i] != 9999){
                   5219:          if(firsthree == 0){
1.262     brouard  5220:            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  5221:            firsthree=1;
                   5222:          }
1.262     brouard  5223:          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  5224:          mw[++mi][i]=m;
                   5225:          mli=m;
                   5226:        }
                   5227:        if(s[m][i]==-2){ /* Vital status is really unknown */
                   5228:          nbwarn++;
                   5229:          if((int)anint[m][i] == 9999){  /*  Has the vital status really been verified? */
                   5230:            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);
                   5231:            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);
                   5232:          }
                   5233:          break;
                   5234:        }
                   5235:        break;
1.224     brouard  5236: #endif
1.227     brouard  5237:       }/* End m >= lastpass */
1.126     brouard  5238:     }/* end while */
1.224     brouard  5239: 
1.227     brouard  5240:     /* 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  5241:     /* After last pass */
1.224     brouard  5242: /* Treating death states */
1.214     brouard  5243:     if (s[m][i] > nlstate){  /* In a death state */
1.227     brouard  5244:       /* if( mint[m][i]==mdc[m][i] && anint[m][i]==andc[m][i]){ /\* same date of death and date of interview *\/ */
                   5245:       /* } */
1.126     brouard  5246:       mi++;    /* Death is another wave */
                   5247:       /* if(mi==0)  never been interviewed correctly before death */
1.227     brouard  5248:       /* Only death is a correct wave */
1.126     brouard  5249:       mw[mi][i]=m;
1.257     brouard  5250:     } /* else not in a death state */
1.224     brouard  5251: #ifndef DISPATCHINGKNOWNDEATHAFTERLASTWAVE
1.257     brouard  5252:     else if ((int) andc[i] != 9999) {  /* Date of death is known */
1.218     brouard  5253:       if ((int)anint[m][i]!= 9999) { /* date of last interview is known */
1.227     brouard  5254:        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 */
                   5255:          nbwarn++;
                   5256:          if(firstfiv==0){
                   5257:            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 );
                   5258:            firstfiv=1;
                   5259:          }else{
                   5260:            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 );
                   5261:          }
                   5262:        }else{ /* Death occured afer last wave potential bias */
                   5263:          nberr++;
                   5264:          if(firstwo==0){
1.257     brouard  5265:            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  5266:            firstwo=1;
                   5267:          }
1.257     brouard  5268:          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  5269:        }
1.257     brouard  5270:       }else{ /* if date of interview is unknown */
1.227     brouard  5271:        /* death is known but not confirmed by death status at any wave */
                   5272:        if(firstfour==0){
                   5273:          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 );
                   5274:          firstfour=1;
                   5275:        }
                   5276:        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  5277:       }
1.224     brouard  5278:     } /* end if date of death is known */
                   5279: #endif
                   5280:     wav[i]=mi; /* mi should be the last effective wave (or mli) */
                   5281:     /* wav[i]=mw[mi][i]; */
1.126     brouard  5282:     if(mi==0){
                   5283:       nbwarn++;
                   5284:       if(first==0){
1.227     brouard  5285:        printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   5286:        first=1;
1.126     brouard  5287:       }
                   5288:       if(first==1){
1.227     brouard  5289:        fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
1.126     brouard  5290:       }
                   5291:     } /* end mi==0 */
                   5292:   } /* End individuals */
1.214     brouard  5293:   /* wav and mw are no more changed */
1.223     brouard  5294:        
1.214     brouard  5295:   
1.126     brouard  5296:   for(i=1; i<=imx; i++){
                   5297:     for(mi=1; mi<wav[i];mi++){
                   5298:       if (stepm <=0)
1.227     brouard  5299:        dh[mi][i]=1;
1.126     brouard  5300:       else{
1.260     brouard  5301:        if (s[mw[mi+1][i]][i] > nlstate) { /* A death, but what if date is unknown? */
1.227     brouard  5302:          if (agedc[i] < 2*AGESUP) {
                   5303:            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   5304:            if(j==0) j=1;  /* Survives at least one month after exam */
                   5305:            else if(j<0){
                   5306:              nberr++;
                   5307:              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]);
                   5308:              j=1; /* Temporary Dangerous patch */
                   5309:              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);
                   5310:              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]);
                   5311:              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);
                   5312:            }
                   5313:            k=k+1;
                   5314:            if (j >= jmax){
                   5315:              jmax=j;
                   5316:              ijmax=i;
                   5317:            }
                   5318:            if (j <= jmin){
                   5319:              jmin=j;
                   5320:              ijmin=i;
                   5321:            }
                   5322:            sum=sum+j;
                   5323:            /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   5324:            /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   5325:          }
                   5326:        }
                   5327:        else{
                   5328:          j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
1.126     brouard  5329: /*       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  5330:                                        
1.227     brouard  5331:          k=k+1;
                   5332:          if (j >= jmax) {
                   5333:            jmax=j;
                   5334:            ijmax=i;
                   5335:          }
                   5336:          else if (j <= jmin){
                   5337:            jmin=j;
                   5338:            ijmin=i;
                   5339:          }
                   5340:          /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   5341:          /*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]);*/
                   5342:          if(j<0){
                   5343:            nberr++;
                   5344:            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]);
                   5345:            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]);
                   5346:          }
                   5347:          sum=sum+j;
                   5348:        }
                   5349:        jk= j/stepm;
                   5350:        jl= j -jk*stepm;
                   5351:        ju= j -(jk+1)*stepm;
                   5352:        if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   5353:          if(jl==0){
                   5354:            dh[mi][i]=jk;
                   5355:            bh[mi][i]=0;
                   5356:          }else{ /* We want a negative bias in order to only have interpolation ie
                   5357:                  * to avoid the price of an extra matrix product in likelihood */
                   5358:            dh[mi][i]=jk+1;
                   5359:            bh[mi][i]=ju;
                   5360:          }
                   5361:        }else{
                   5362:          if(jl <= -ju){
                   5363:            dh[mi][i]=jk;
                   5364:            bh[mi][i]=jl;       /* bias is positive if real duration
                   5365:                                 * is higher than the multiple of stepm and negative otherwise.
                   5366:                                 */
                   5367:          }
                   5368:          else{
                   5369:            dh[mi][i]=jk+1;
                   5370:            bh[mi][i]=ju;
                   5371:          }
                   5372:          if(dh[mi][i]==0){
                   5373:            dh[mi][i]=1; /* At least one step */
                   5374:            bh[mi][i]=ju; /* At least one step */
                   5375:            /*  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);*/
                   5376:          }
                   5377:        } /* end if mle */
1.126     brouard  5378:       }
                   5379:     } /* end wave */
                   5380:   }
                   5381:   jmean=sum/k;
                   5382:   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  5383:   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  5384: }
1.126     brouard  5385: 
                   5386: /*********** Tricode ****************************/
1.220     brouard  5387:  void tricode(int *cptcov, int *Tvar, int **nbcode, int imx, int *Ndum)
1.242     brouard  5388:  {
                   5389:    /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   5390:    /*    Tvar[i]=atoi(stre);  find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1 
                   5391:     * Boring subroutine which should only output nbcode[Tvar[j]][k]
                   5392:     * Tvar[5] in V2+V1+V3*age+V2*V4 is 4 (V4) even it is a time varying or quantitative variable
                   5393:     * nbcode[Tvar[5]][1]= nbcode[4][1]=0, nbcode[4][2]=1 (usually);
                   5394:     */
1.130     brouard  5395: 
1.242     brouard  5396:    int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
                   5397:    int modmaxcovj=0; /* Modality max of covariates j */
                   5398:    int cptcode=0; /* Modality max of covariates j */
                   5399:    int modmincovj=0; /* Modality min of covariates j */
1.145     brouard  5400: 
                   5401: 
1.242     brouard  5402:    /* cptcoveff=0;  */
                   5403:    /* *cptcov=0; */
1.126     brouard  5404:  
1.242     brouard  5405:    for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.285     brouard  5406:    for (k=1; k <= maxncov; k++)
                   5407:      for(j=1; j<=2; j++)
                   5408:        nbcode[k][j]=0; /* Valgrind */
1.126     brouard  5409: 
1.242     brouard  5410:    /* Loop on covariates without age and products and no quantitative variable */
                   5411:    for (k=1; k<=cptcovt; k++) { /* From model V1 + V2*age + V3 + V3*V4 keeps V1 + V3 = 2 only */
                   5412:      for (j=-1; (j < maxncov); j++) Ndum[j]=0;
                   5413:      if(Dummy[k]==0 && Typevar[k] !=1){ /* Dummy covariate and not age product */ 
                   5414:        switch(Fixed[k]) {
                   5415:        case 0: /* Testing on fixed dummy covariate, simple or product of fixed */
                   5416:         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*/
                   5417:           ij=(int)(covar[Tvar[k]][i]);
                   5418:           /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                   5419:            * If product of Vn*Vm, still boolean *:
                   5420:            * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                   5421:            * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
                   5422:           /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
                   5423:              modality of the nth covariate of individual i. */
                   5424:           if (ij > modmaxcovj)
                   5425:             modmaxcovj=ij; 
                   5426:           else if (ij < modmincovj) 
                   5427:             modmincovj=ij; 
1.287     brouard  5428:           if (ij <0 || ij >1 ){
                   5429:             printf("Information, IMaCh doesn't treat covariate with missing values (-1), individual %d will be skipped.\n",i);
                   5430:             fprintf(ficlog,"Information, currently IMaCh doesn't treat covariate with missing values (-1), individual %d will be skipped.\n",i);
                   5431:           }
                   5432:           if ((ij < -1) || (ij > NCOVMAX)){
1.242     brouard  5433:             printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
                   5434:             exit(1);
                   5435:           }else
                   5436:             Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
                   5437:           /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
                   5438:           /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
                   5439:           /* getting the maximum value of the modality of the covariate
                   5440:              (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
                   5441:              female ies 1, then modmaxcovj=1.
                   5442:           */
                   5443:         } /* end for loop on individuals i */
                   5444:         printf(" Minimal and maximal values of %d th (fixed) covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   5445:         fprintf(ficlog," Minimal and maximal values of %d th (fixed) covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   5446:         cptcode=modmaxcovj;
                   5447:         /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
                   5448:         /*for (i=0; i<=cptcode; i++) {*/
                   5449:         for (j=modmincovj;  j<=modmaxcovj; j++) { /* j=-1 ? 0 and 1*//* For each value j of the modality of model-cov k */
                   5450:           printf("Frequencies of (fixed) covariate %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   5451:           fprintf(ficlog, "Frequencies of (fixed) covariate %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   5452:           if( Ndum[j] != 0 ){ /* Counts if nobody answered modality j ie empty modality, we skip it and reorder */
                   5453:             if( j != -1){
                   5454:               ncodemax[k]++;  /* ncodemax[k]= Number of modalities of the k th
                   5455:                                  covariate for which somebody answered excluding 
                   5456:                                  undefined. Usually 2: 0 and 1. */
                   5457:             }
                   5458:             ncodemaxwundef[k]++; /* ncodemax[j]= Number of modalities of the k th
                   5459:                                     covariate for which somebody answered including 
                   5460:                                     undefined. Usually 3: -1, 0 and 1. */
                   5461:           }    /* In fact  ncodemax[k]=2 (dichotom. variables only) but it could be more for
                   5462:                 * historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
                   5463:         } /* Ndum[-1] number of undefined modalities */
1.231     brouard  5464:                        
1.242     brouard  5465:         /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
                   5466:         /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. */
                   5467:         /* If Ndum[1]=0, Ndum[2]=0, Ndum[3]= 635, Ndum[4]=0, Ndum[5]=0, Ndum[6]=27, Ndum[7]=125; */
                   5468:         /* modmincovj=3; modmaxcovj = 7; */
                   5469:         /* There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3; */
                   5470:         /* which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10; */
                   5471:         /*              defining two dummy variables: variables V1_1 and V1_2.*/
                   5472:         /* nbcode[Tvar[j]][ij]=k; */
                   5473:         /* nbcode[Tvar[j]][1]=0; */
                   5474:         /* nbcode[Tvar[j]][2]=1; */
                   5475:         /* nbcode[Tvar[j]][3]=2; */
                   5476:         /* To be continued (not working yet). */
                   5477:         ij=0; /* ij is similar to i but can jump over null modalities */
1.287     brouard  5478: 
                   5479:         /* 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*/
                   5480:         /* Skipping the case of missing values by reducing nbcode to 0 and 1 and not -1, 0, 1 */
                   5481:         /* model=V1+V2+V3, if V2=-1, 0 or 1, then nbcode[2][1]=0 and nbcode[2][2]=1 instead of
                   5482:          * nbcode[2][1]=-1, nbcode[2][2]=0 and nbcode[2][3]=1 */
                   5483:         /*, could be restored in the future */
                   5484:         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  5485:           if (Ndum[i] == 0) { /* If nobody responded to this modality k */
                   5486:             break;
                   5487:           }
                   5488:           ij++;
1.287     brouard  5489:           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  5490:           cptcode = ij; /* New max modality for covar j */
                   5491:         } /* end of loop on modality i=-1 to 1 or more */
                   5492:         break;
                   5493:        case 1: /* Testing on varying covariate, could be simple and
                   5494:                * should look at waves or product of fixed *
                   5495:                * varying. No time to test -1, assuming 0 and 1 only */
                   5496:         ij=0;
                   5497:         for(i=0; i<=1;i++){
                   5498:           nbcode[Tvar[k]][++ij]=i;
                   5499:         }
                   5500:         break;
                   5501:        default:
                   5502:         break;
                   5503:        } /* end switch */
                   5504:      } /* end dummy test */
1.287     brouard  5505:    } /* 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  5506:   
                   5507:    for (k=-1; k< maxncov; k++) Ndum[k]=0; 
                   5508:    /* Look at fixed dummy (single or product) covariates to check empty modalities */
                   5509:    for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
                   5510:      /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
                   5511:      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 */ 
                   5512:      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 */
                   5513:      /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1,  {2, 1, 1, 1, 2, 1, 1, 0, 0} */
                   5514:    } /* V4+V3+V5, Ndum[1]@5={0, 0, 1, 1, 1} */
                   5515:   
                   5516:    ij=0;
                   5517:    /* for (i=0; i<=  maxncov-1; i++) { /\* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) *\/ */
                   5518:    for (k=1; k<=  cptcovt; k++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
                   5519:      /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
                   5520:      /* if((Ndum[i]!=0) && (i<=ncovcol)){  /\* Tvar[i] <= ncovmodel ? *\/ */
                   5521:      if(Ndum[Tvar[k]]!=0 && Dummy[k] == 0 && Typevar[k]==0){  /* Only Dummy and non empty in the model */
                   5522:        /* If product not in single variable we don't print results */
                   5523:        /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
                   5524:        ++ij;/* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, */
                   5525:        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*/
                   5526:        Tmodelind[ij]=k; /* Tmodelind: index in model of dummies Tmodelind[1]=2 V4: pos=2; V3: pos=3, V1=9 {2, 3, 9, ?, ?,} */
                   5527:        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 */
                   5528:        if(Fixed[k]!=0)
                   5529:         anyvaryingduminmodel=1;
                   5530:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv)){ */
                   5531:        /*   Tvaraff[++ij]=-10; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   5532:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv)){ */
                   5533:        /*   Tvaraff[++ij]=i; /\*For printing (unclear) *\/ */
                   5534:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv+nqtv)){ */
                   5535:        /*   Tvaraff[++ij]=-20; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   5536:      } 
                   5537:    } /* Tvaraff[1]@5 {3, 4, -20, 0, 0} Very strange */
                   5538:    /* ij--; */
                   5539:    /* cptcoveff=ij; /\*Number of total covariates*\/ */
                   5540:    *cptcov=ij; /*Number of total real effective covariates: effective
                   5541:                * because they can be excluded from the model and real
                   5542:                * if in the model but excluded because missing values, but how to get k from ij?*/
                   5543:    for(j=ij+1; j<= cptcovt; j++){
                   5544:      Tvaraff[j]=0;
                   5545:      Tmodelind[j]=0;
                   5546:    }
                   5547:    for(j=ntveff+1; j<= cptcovt; j++){
                   5548:      TmodelInvind[j]=0;
                   5549:    }
                   5550:    /* To be sorted */
                   5551:    ;
                   5552:  }
1.126     brouard  5553: 
1.145     brouard  5554: 
1.126     brouard  5555: /*********** Health Expectancies ****************/
                   5556: 
1.235     brouard  5557:  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  5558: 
                   5559: {
                   5560:   /* Health expectancies, no variances */
1.164     brouard  5561:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  5562:   int nhstepma, nstepma; /* Decreasing with age */
                   5563:   double age, agelim, hf;
                   5564:   double ***p3mat;
                   5565:   double eip;
                   5566: 
1.238     brouard  5567:   /* pstamp(ficreseij); */
1.126     brouard  5568:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   5569:   fprintf(ficreseij,"# Age");
                   5570:   for(i=1; i<=nlstate;i++){
                   5571:     for(j=1; j<=nlstate;j++){
                   5572:       fprintf(ficreseij," e%1d%1d ",i,j);
                   5573:     }
                   5574:     fprintf(ficreseij," e%1d. ",i);
                   5575:   }
                   5576:   fprintf(ficreseij,"\n");
                   5577: 
                   5578:   
                   5579:   if(estepm < stepm){
                   5580:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   5581:   }
                   5582:   else  hstepm=estepm;   
                   5583:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   5584:    * This is mainly to measure the difference between two models: for example
                   5585:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   5586:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   5587:    * progression in between and thus overestimating or underestimating according
                   5588:    * to the curvature of the survival function. If, for the same date, we 
                   5589:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   5590:    * to compare the new estimate of Life expectancy with the same linear 
                   5591:    * hypothesis. A more precise result, taking into account a more precise
                   5592:    * curvature will be obtained if estepm is as small as stepm. */
                   5593: 
                   5594:   /* For example we decided to compute the life expectancy with the smallest unit */
                   5595:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5596:      nhstepm is the number of hstepm from age to agelim 
                   5597:      nstepm is the number of stepm from age to agelin. 
1.270     brouard  5598:      Look at hpijx to understand the reason which relies in memory size consideration
1.126     brouard  5599:      and note for a fixed period like estepm months */
                   5600:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   5601:      survival function given by stepm (the optimization length). Unfortunately it
                   5602:      means that if the survival funtion is printed only each two years of age and if
                   5603:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5604:      results. So we changed our mind and took the option of the best precision.
                   5605:   */
                   5606:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5607: 
                   5608:   agelim=AGESUP;
                   5609:   /* If stepm=6 months */
                   5610:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   5611:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   5612:     
                   5613: /* nhstepm age range expressed in number of stepm */
                   5614:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5615:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5616:   /* if (stepm >= YEARM) hstepm=1;*/
                   5617:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5618:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5619: 
                   5620:   for (age=bage; age<=fage; age ++){ 
                   5621:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5622:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5623:     /* if (stepm >= YEARM) hstepm=1;*/
                   5624:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   5625: 
                   5626:     /* If stepm=6 months */
                   5627:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   5628:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   5629:     
1.235     brouard  5630:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij, nres);  
1.126     brouard  5631:     
                   5632:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   5633:     
                   5634:     printf("%d|",(int)age);fflush(stdout);
                   5635:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   5636:     
                   5637:     /* Computing expectancies */
                   5638:     for(i=1; i<=nlstate;i++)
                   5639:       for(j=1; j<=nlstate;j++)
                   5640:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   5641:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   5642:          
                   5643:          /* 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]);*/
                   5644: 
                   5645:        }
                   5646: 
                   5647:     fprintf(ficreseij,"%3.0f",age );
                   5648:     for(i=1; i<=nlstate;i++){
                   5649:       eip=0;
                   5650:       for(j=1; j<=nlstate;j++){
                   5651:        eip +=eij[i][j][(int)age];
                   5652:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   5653:       }
                   5654:       fprintf(ficreseij,"%9.4f", eip );
                   5655:     }
                   5656:     fprintf(ficreseij,"\n");
                   5657:     
                   5658:   }
                   5659:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5660:   printf("\n");
                   5661:   fprintf(ficlog,"\n");
                   5662:   
                   5663: }
                   5664: 
1.235     brouard  5665:  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  5666: 
                   5667: {
                   5668:   /* Covariances of health expectancies eij and of total life expectancies according
1.222     brouard  5669:      to initial status i, ei. .
1.126     brouard  5670:   */
                   5671:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   5672:   int nhstepma, nstepma; /* Decreasing with age */
                   5673:   double age, agelim, hf;
                   5674:   double ***p3matp, ***p3matm, ***varhe;
                   5675:   double **dnewm,**doldm;
                   5676:   double *xp, *xm;
                   5677:   double **gp, **gm;
                   5678:   double ***gradg, ***trgradg;
                   5679:   int theta;
                   5680: 
                   5681:   double eip, vip;
                   5682: 
                   5683:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   5684:   xp=vector(1,npar);
                   5685:   xm=vector(1,npar);
                   5686:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   5687:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   5688:   
                   5689:   pstamp(ficresstdeij);
                   5690:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   5691:   fprintf(ficresstdeij,"# Age");
                   5692:   for(i=1; i<=nlstate;i++){
                   5693:     for(j=1; j<=nlstate;j++)
                   5694:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   5695:     fprintf(ficresstdeij," e%1d. ",i);
                   5696:   }
                   5697:   fprintf(ficresstdeij,"\n");
                   5698: 
                   5699:   pstamp(ficrescveij);
                   5700:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   5701:   fprintf(ficrescveij,"# Age");
                   5702:   for(i=1; i<=nlstate;i++)
                   5703:     for(j=1; j<=nlstate;j++){
                   5704:       cptj= (j-1)*nlstate+i;
                   5705:       for(i2=1; i2<=nlstate;i2++)
                   5706:        for(j2=1; j2<=nlstate;j2++){
                   5707:          cptj2= (j2-1)*nlstate+i2;
                   5708:          if(cptj2 <= cptj)
                   5709:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   5710:        }
                   5711:     }
                   5712:   fprintf(ficrescveij,"\n");
                   5713:   
                   5714:   if(estepm < stepm){
                   5715:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   5716:   }
                   5717:   else  hstepm=estepm;   
                   5718:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   5719:    * This is mainly to measure the difference between two models: for example
                   5720:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   5721:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   5722:    * progression in between and thus overestimating or underestimating according
                   5723:    * to the curvature of the survival function. If, for the same date, we 
                   5724:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   5725:    * to compare the new estimate of Life expectancy with the same linear 
                   5726:    * hypothesis. A more precise result, taking into account a more precise
                   5727:    * curvature will be obtained if estepm is as small as stepm. */
                   5728: 
                   5729:   /* For example we decided to compute the life expectancy with the smallest unit */
                   5730:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5731:      nhstepm is the number of hstepm from age to agelim 
                   5732:      nstepm is the number of stepm from age to agelin. 
                   5733:      Look at hpijx to understand the reason of that which relies in memory size
                   5734:      and note for a fixed period like estepm months */
                   5735:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   5736:      survival function given by stepm (the optimization length). Unfortunately it
                   5737:      means that if the survival funtion is printed only each two years of age and if
                   5738:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5739:      results. So we changed our mind and took the option of the best precision.
                   5740:   */
                   5741:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5742: 
                   5743:   /* If stepm=6 months */
                   5744:   /* nhstepm age range expressed in number of stepm */
                   5745:   agelim=AGESUP;
                   5746:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   5747:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5748:   /* if (stepm >= YEARM) hstepm=1;*/
                   5749:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5750:   
                   5751:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5752:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5753:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   5754:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   5755:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   5756:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   5757: 
                   5758:   for (age=bage; age<=fage; age ++){ 
                   5759:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5760:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5761:     /* if (stepm >= YEARM) hstepm=1;*/
                   5762:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
1.218     brouard  5763:                
1.126     brouard  5764:     /* If stepm=6 months */
                   5765:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   5766:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   5767:     
                   5768:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
1.218     brouard  5769:                
1.126     brouard  5770:     /* Computing  Variances of health expectancies */
                   5771:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   5772:        decrease memory allocation */
                   5773:     for(theta=1; theta <=npar; theta++){
                   5774:       for(i=1; i<=npar; i++){ 
1.222     brouard  5775:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5776:        xm[i] = x[i] - (i==theta ?delti[theta]:0);
1.126     brouard  5777:       }
1.235     brouard  5778:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij, nres);  
                   5779:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij, nres);  
1.218     brouard  5780:                        
1.126     brouard  5781:       for(j=1; j<= nlstate; j++){
1.222     brouard  5782:        for(i=1; i<=nlstate; i++){
                   5783:          for(h=0; h<=nhstepm-1; h++){
                   5784:            gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
                   5785:            gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
                   5786:          }
                   5787:        }
1.126     brouard  5788:       }
1.218     brouard  5789:                        
1.126     brouard  5790:       for(ij=1; ij<= nlstate*nlstate; ij++)
1.222     brouard  5791:        for(h=0; h<=nhstepm-1; h++){
                   5792:          gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
                   5793:        }
1.126     brouard  5794:     }/* End theta */
                   5795:     
                   5796:     
                   5797:     for(h=0; h<=nhstepm-1; h++)
                   5798:       for(j=1; j<=nlstate*nlstate;j++)
1.222     brouard  5799:        for(theta=1; theta <=npar; theta++)
                   5800:          trgradg[h][j][theta]=gradg[h][theta][j];
1.126     brouard  5801:     
1.218     brouard  5802:                
1.222     brouard  5803:     for(ij=1;ij<=nlstate*nlstate;ij++)
1.126     brouard  5804:       for(ji=1;ji<=nlstate*nlstate;ji++)
1.222     brouard  5805:        varhe[ij][ji][(int)age] =0.;
1.218     brouard  5806:                
1.222     brouard  5807:     printf("%d|",(int)age);fflush(stdout);
                   5808:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   5809:     for(h=0;h<=nhstepm-1;h++){
1.126     brouard  5810:       for(k=0;k<=nhstepm-1;k++){
1.222     brouard  5811:        matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
                   5812:        matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
                   5813:        for(ij=1;ij<=nlstate*nlstate;ij++)
                   5814:          for(ji=1;ji<=nlstate*nlstate;ji++)
                   5815:            varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
1.126     brouard  5816:       }
                   5817:     }
1.218     brouard  5818:                
1.126     brouard  5819:     /* Computing expectancies */
1.235     brouard  5820:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij,nres);  
1.126     brouard  5821:     for(i=1; i<=nlstate;i++)
                   5822:       for(j=1; j<=nlstate;j++)
1.222     brouard  5823:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   5824:          eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
1.218     brouard  5825:                                        
1.222     brouard  5826:          /* 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  5827:                                        
1.222     brouard  5828:        }
1.269     brouard  5829: 
                   5830:     /* Standard deviation of expectancies ij */                
1.126     brouard  5831:     fprintf(ficresstdeij,"%3.0f",age );
                   5832:     for(i=1; i<=nlstate;i++){
                   5833:       eip=0.;
                   5834:       vip=0.;
                   5835:       for(j=1; j<=nlstate;j++){
1.222     brouard  5836:        eip += eij[i][j][(int)age];
                   5837:        for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
                   5838:          vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
                   5839:        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  5840:       }
                   5841:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   5842:     }
                   5843:     fprintf(ficresstdeij,"\n");
1.218     brouard  5844:                
1.269     brouard  5845:     /* Variance of expectancies ij */          
1.126     brouard  5846:     fprintf(ficrescveij,"%3.0f",age );
                   5847:     for(i=1; i<=nlstate;i++)
                   5848:       for(j=1; j<=nlstate;j++){
1.222     brouard  5849:        cptj= (j-1)*nlstate+i;
                   5850:        for(i2=1; i2<=nlstate;i2++)
                   5851:          for(j2=1; j2<=nlstate;j2++){
                   5852:            cptj2= (j2-1)*nlstate+i2;
                   5853:            if(cptj2 <= cptj)
                   5854:              fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
                   5855:          }
1.126     brouard  5856:       }
                   5857:     fprintf(ficrescveij,"\n");
1.218     brouard  5858:                
1.126     brouard  5859:   }
                   5860:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   5861:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   5862:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   5863:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   5864:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5865:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5866:   printf("\n");
                   5867:   fprintf(ficlog,"\n");
1.218     brouard  5868:        
1.126     brouard  5869:   free_vector(xm,1,npar);
                   5870:   free_vector(xp,1,npar);
                   5871:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   5872:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   5873:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   5874: }
1.218     brouard  5875:  
1.126     brouard  5876: /************ Variance ******************/
1.235     brouard  5877:  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  5878:  {
1.279     brouard  5879:    /** Variance of health expectancies 
                   5880:     *  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);
                   5881:     * double **newm;
                   5882:     * int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav) 
                   5883:     */
1.218     brouard  5884:   
                   5885:    /* int movingaverage(); */
                   5886:    double **dnewm,**doldm;
                   5887:    double **dnewmp,**doldmp;
                   5888:    int i, j, nhstepm, hstepm, h, nstepm ;
1.288     brouard  5889:    int first=0;
1.218     brouard  5890:    int k;
                   5891:    double *xp;
1.279     brouard  5892:    double **gp, **gm;  /**< for var eij */
                   5893:    double ***gradg, ***trgradg; /**< for var eij */
                   5894:    double **gradgp, **trgradgp; /**< for var p point j */
                   5895:    double *gpp, *gmp; /**< for var p point j */
                   5896:    double **varppt; /**< for var p point j nlstate to nlstate+ndeath */
1.218     brouard  5897:    double ***p3mat;
                   5898:    double age,agelim, hf;
                   5899:    /* double ***mobaverage; */
                   5900:    int theta;
                   5901:    char digit[4];
                   5902:    char digitp[25];
                   5903: 
                   5904:    char fileresprobmorprev[FILENAMELENGTH];
                   5905: 
                   5906:    if(popbased==1){
                   5907:      if(mobilav!=0)
                   5908:        strcpy(digitp,"-POPULBASED-MOBILAV_");
                   5909:      else strcpy(digitp,"-POPULBASED-NOMOBIL_");
                   5910:    }
                   5911:    else 
                   5912:      strcpy(digitp,"-STABLBASED_");
1.126     brouard  5913: 
1.218     brouard  5914:    /* if (mobilav!=0) { */
                   5915:    /*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   5916:    /*   if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){ */
                   5917:    /*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */
                   5918:    /*     printf(" Error in movingaverage mobilav=%d\n",mobilav); */
                   5919:    /*   } */
                   5920:    /* } */
                   5921: 
                   5922:    strcpy(fileresprobmorprev,"PRMORPREV-"); 
                   5923:    sprintf(digit,"%-d",ij);
                   5924:    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
                   5925:    strcat(fileresprobmorprev,digit); /* Tvar to be done */
                   5926:    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
                   5927:    strcat(fileresprobmorprev,fileresu);
                   5928:    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
                   5929:      printf("Problem with resultfile: %s\n", fileresprobmorprev);
                   5930:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
                   5931:    }
                   5932:    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5933:    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5934:    pstamp(ficresprobmorprev);
                   5935:    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  5936:    fprintf(ficresprobmorprev,"# Selected quantitative variables and dummies");
                   5937:    for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   5938:      fprintf(ficresprobmorprev," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   5939:    }
                   5940:    for(j=1;j<=cptcoveff;j++) 
                   5941:      fprintf(ficresprobmorprev,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(ij,j)]);
                   5942:    fprintf(ficresprobmorprev,"\n");
                   5943: 
1.218     brouard  5944:    fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
                   5945:    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   5946:      fprintf(ficresprobmorprev," p.%-d SE",j);
                   5947:      for(i=1; i<=nlstate;i++)
                   5948:        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
                   5949:    }  
                   5950:    fprintf(ficresprobmorprev,"\n");
                   5951:   
                   5952:    fprintf(ficgp,"\n# Routine varevsij");
                   5953:    fprintf(ficgp,"\nunset title \n");
                   5954:    /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
                   5955:    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");
                   5956:    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
1.279     brouard  5957: 
1.218     brouard  5958:    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5959:    pstamp(ficresvij);
                   5960:    fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
                   5961:    if(popbased==1)
                   5962:      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);
                   5963:    else
                   5964:      fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
                   5965:    fprintf(ficresvij,"# Age");
                   5966:    for(i=1; i<=nlstate;i++)
                   5967:      for(j=1; j<=nlstate;j++)
                   5968:        fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
                   5969:    fprintf(ficresvij,"\n");
                   5970: 
                   5971:    xp=vector(1,npar);
                   5972:    dnewm=matrix(1,nlstate,1,npar);
                   5973:    doldm=matrix(1,nlstate,1,nlstate);
                   5974:    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
                   5975:    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5976: 
                   5977:    gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
                   5978:    gpp=vector(nlstate+1,nlstate+ndeath);
                   5979:    gmp=vector(nlstate+1,nlstate+ndeath);
                   5980:    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.126     brouard  5981:   
1.218     brouard  5982:    if(estepm < stepm){
                   5983:      printf ("Problem %d lower than %d\n",estepm, stepm);
                   5984:    }
                   5985:    else  hstepm=estepm;   
                   5986:    /* For example we decided to compute the life expectancy with the smallest unit */
                   5987:    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5988:       nhstepm is the number of hstepm from age to agelim 
                   5989:       nstepm is the number of stepm from age to agelim. 
                   5990:       Look at function hpijx to understand why because of memory size limitations, 
                   5991:       we decided (b) to get a life expectancy respecting the most precise curvature of the
                   5992:       survival function given by stepm (the optimization length). Unfortunately it
                   5993:       means that if the survival funtion is printed every two years of age and if
                   5994:       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5995:       results. So we changed our mind and took the option of the best precision.
                   5996:    */
                   5997:    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5998:    agelim = AGESUP;
                   5999:    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   6000:      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6001:      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   6002:      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6003:      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
                   6004:      gp=matrix(0,nhstepm,1,nlstate);
                   6005:      gm=matrix(0,nhstepm,1,nlstate);
                   6006:                
                   6007:                
                   6008:      for(theta=1; theta <=npar; theta++){
                   6009:        for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
                   6010:         xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6011:        }
1.279     brouard  6012:        /**< Computes the prevalence limit with parameter theta shifted of delta up to ftolpl precision and 
                   6013:        * returns into prlim .
1.288     brouard  6014:        */
1.242     brouard  6015:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij, nres);
1.279     brouard  6016: 
                   6017:        /* If popbased = 1 we use crossection prevalences. Previous step is useless but prlim is created */
1.218     brouard  6018:        if (popbased==1) {
                   6019:         if(mobilav ==0){
                   6020:           for(i=1; i<=nlstate;i++)
                   6021:             prlim[i][i]=probs[(int)age][i][ij];
                   6022:         }else{ /* mobilav */ 
                   6023:           for(i=1; i<=nlstate;i++)
                   6024:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   6025:         }
                   6026:        }
1.295     brouard  6027:        /**< Computes the shifted transition matrix \f$ {}{h}_p^{ij}x\f$ at horizon h.
1.279     brouard  6028:        */                      
                   6029:        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  6030:        /**< 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  6031:        * at horizon h in state j including mortality.
                   6032:        */
1.218     brouard  6033:        for(j=1; j<= nlstate; j++){
                   6034:         for(h=0; h<=nhstepm; h++){
                   6035:           for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                   6036:             gp[h][j] += prlim[i][i]*p3mat[i][j][h];
                   6037:         }
                   6038:        }
1.279     brouard  6039:        /* Next for computing shifted+ probability of death (h=1 means
1.218     brouard  6040:          computed over hstepm matrices product = hstepm*stepm months) 
1.279     brouard  6041:          as a weighted average of prlim(i) * p(i,j) p.3=w1*p13 + w2*p23 .
1.218     brouard  6042:        */
                   6043:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6044:         for(i=1,gpp[j]=0.; i<= nlstate; i++)
                   6045:           gpp[j] += prlim[i][i]*p3mat[i][j][1];
1.279     brouard  6046:        }
                   6047:        
                   6048:        /* Again with minus shift */
1.218     brouard  6049:                        
                   6050:        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
                   6051:         xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.288     brouard  6052: 
1.242     brouard  6053:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp, ij, nres);
1.218     brouard  6054:                        
                   6055:        if (popbased==1) {
                   6056:         if(mobilav ==0){
                   6057:           for(i=1; i<=nlstate;i++)
                   6058:             prlim[i][i]=probs[(int)age][i][ij];
                   6059:         }else{ /* mobilav */ 
                   6060:           for(i=1; i<=nlstate;i++)
                   6061:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   6062:         }
                   6063:        }
                   6064:                        
1.235     brouard  6065:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij,nres);  
1.218     brouard  6066:                        
                   6067:        for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
                   6068:         for(h=0; h<=nhstepm; h++){
                   6069:           for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                   6070:             gm[h][j] += prlim[i][i]*p3mat[i][j][h];
                   6071:         }
                   6072:        }
                   6073:        /* This for computing probability of death (h=1 means
                   6074:          computed over hstepm matrices product = hstepm*stepm months) 
                   6075:          as a weighted average of prlim.
                   6076:        */
                   6077:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6078:         for(i=1,gmp[j]=0.; i<= nlstate; i++)
                   6079:           gmp[j] += prlim[i][i]*p3mat[i][j][1];
                   6080:        }    
1.279     brouard  6081:        /* end shifting computations */
                   6082: 
                   6083:        /**< Computing gradient matrix at horizon h 
                   6084:        */
1.218     brouard  6085:        for(j=1; j<= nlstate; j++) /* vareij */
                   6086:         for(h=0; h<=nhstepm; h++){
                   6087:           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
                   6088:         }
1.279     brouard  6089:        /**< Gradient of overall mortality p.3 (or p.j) 
                   6090:        */
                   6091:        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu mortality from j */
1.218     brouard  6092:         gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
                   6093:        }
                   6094:                        
                   6095:      } /* End theta */
1.279     brouard  6096:      
                   6097:      /* We got the gradient matrix for each theta and state j */               
1.218     brouard  6098:      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
                   6099:                
                   6100:      for(h=0; h<=nhstepm; h++) /* veij */
                   6101:        for(j=1; j<=nlstate;j++)
                   6102:         for(theta=1; theta <=npar; theta++)
                   6103:           trgradg[h][j][theta]=gradg[h][theta][j];
                   6104:                
                   6105:      for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                   6106:        for(theta=1; theta <=npar; theta++)
                   6107:         trgradgp[j][theta]=gradgp[theta][j];
1.279     brouard  6108:      /**< as well as its transposed matrix 
                   6109:       */               
1.218     brouard  6110:                
                   6111:      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   6112:      for(i=1;i<=nlstate;i++)
                   6113:        for(j=1;j<=nlstate;j++)
                   6114:         vareij[i][j][(int)age] =0.;
1.279     brouard  6115: 
                   6116:      /* Computing trgradg by matcov by gradg at age and summing over h
                   6117:       * and k (nhstepm) formula 15 of article
                   6118:       * Lievre-Brouard-Heathcote
                   6119:       */
                   6120:      
1.218     brouard  6121:      for(h=0;h<=nhstepm;h++){
                   6122:        for(k=0;k<=nhstepm;k++){
                   6123:         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
                   6124:         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
                   6125:         for(i=1;i<=nlstate;i++)
                   6126:           for(j=1;j<=nlstate;j++)
                   6127:             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
                   6128:        }
                   6129:      }
                   6130:                
1.279     brouard  6131:      /* pptj is p.3 or p.j = trgradgp by cov by gradgp, variance of
                   6132:       * p.j overall mortality formula 49 but computed directly because
                   6133:       * we compute the grad (wix pijx) instead of grad (pijx),even if
                   6134:       * wix is independent of theta.
                   6135:       */
1.218     brouard  6136:      matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
                   6137:      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
                   6138:      for(j=nlstate+1;j<=nlstate+ndeath;j++)
                   6139:        for(i=nlstate+1;i<=nlstate+ndeath;i++)
                   6140:         varppt[j][i]=doldmp[j][i];
                   6141:      /* end ppptj */
                   6142:      /*  x centered again */
                   6143:                
1.242     brouard  6144:      prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyearp,ij, nres);
1.218     brouard  6145:                
                   6146:      if (popbased==1) {
                   6147:        if(mobilav ==0){
                   6148:         for(i=1; i<=nlstate;i++)
                   6149:           prlim[i][i]=probs[(int)age][i][ij];
                   6150:        }else{ /* mobilav */ 
                   6151:         for(i=1; i<=nlstate;i++)
                   6152:           prlim[i][i]=mobaverage[(int)age][i][ij];
                   6153:        }
                   6154:      }
                   6155:                
                   6156:      /* This for computing probability of death (h=1 means
                   6157:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
                   6158:        as a weighted average of prlim.
                   6159:      */
1.235     brouard  6160:      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij, nres);  
1.218     brouard  6161:      for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6162:        for(i=1,gmp[j]=0.;i<= nlstate; i++) 
                   6163:         gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
                   6164:      }    
                   6165:      /* end probability of death */
                   6166:                
                   6167:      fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
                   6168:      for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   6169:        fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
                   6170:        for(i=1; i<=nlstate;i++){
                   6171:         fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
                   6172:        }
                   6173:      } 
                   6174:      fprintf(ficresprobmorprev,"\n");
                   6175:                
                   6176:      fprintf(ficresvij,"%.0f ",age );
                   6177:      for(i=1; i<=nlstate;i++)
                   6178:        for(j=1; j<=nlstate;j++){
                   6179:         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
                   6180:        }
                   6181:      fprintf(ficresvij,"\n");
                   6182:      free_matrix(gp,0,nhstepm,1,nlstate);
                   6183:      free_matrix(gm,0,nhstepm,1,nlstate);
                   6184:      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
                   6185:      free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
                   6186:      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6187:    } /* End age */
                   6188:    free_vector(gpp,nlstate+1,nlstate+ndeath);
                   6189:    free_vector(gmp,nlstate+1,nlstate+ndeath);
                   6190:    free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
                   6191:    free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
                   6192:    /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
                   6193:    fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
                   6194:    /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
                   6195:    fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
                   6196:    fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
                   6197:    /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
                   6198:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   6199:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   6200:    fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
                   6201:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
                   6202:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
                   6203:    fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
                   6204:    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);
                   6205:    /*  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  6206:     */
1.218     brouard  6207:    /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
                   6208:    fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  6209: 
1.218     brouard  6210:    free_vector(xp,1,npar);
                   6211:    free_matrix(doldm,1,nlstate,1,nlstate);
                   6212:    free_matrix(dnewm,1,nlstate,1,npar);
                   6213:    free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6214:    free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
                   6215:    free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6216:    /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   6217:    fclose(ficresprobmorprev);
                   6218:    fflush(ficgp);
                   6219:    fflush(fichtm); 
                   6220:  }  /* end varevsij */
1.126     brouard  6221: 
                   6222: /************ Variance of prevlim ******************/
1.269     brouard  6223:  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  6224: {
1.205     brouard  6225:   /* Variance of prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
1.126     brouard  6226:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  6227: 
1.268     brouard  6228:   double **dnewmpar,**doldm;
1.126     brouard  6229:   int i, j, nhstepm, hstepm;
                   6230:   double *xp;
                   6231:   double *gp, *gm;
                   6232:   double **gradg, **trgradg;
1.208     brouard  6233:   double **mgm, **mgp;
1.126     brouard  6234:   double age,agelim;
                   6235:   int theta;
                   6236:   
                   6237:   pstamp(ficresvpl);
1.288     brouard  6238:   fprintf(ficresvpl,"# Standard deviation of period (forward stable) prevalences \n");
1.241     brouard  6239:   fprintf(ficresvpl,"# Age ");
                   6240:   if(nresult >=1)
                   6241:     fprintf(ficresvpl," Result# ");
1.126     brouard  6242:   for(i=1; i<=nlstate;i++)
                   6243:       fprintf(ficresvpl," %1d-%1d",i,i);
                   6244:   fprintf(ficresvpl,"\n");
                   6245: 
                   6246:   xp=vector(1,npar);
1.268     brouard  6247:   dnewmpar=matrix(1,nlstate,1,npar);
1.126     brouard  6248:   doldm=matrix(1,nlstate,1,nlstate);
                   6249:   
                   6250:   hstepm=1*YEARM; /* Every year of age */
                   6251:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   6252:   agelim = AGESUP;
                   6253:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   6254:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6255:     if (stepm >= YEARM) hstepm=1;
                   6256:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6257:     gradg=matrix(1,npar,1,nlstate);
1.208     brouard  6258:     mgp=matrix(1,npar,1,nlstate);
                   6259:     mgm=matrix(1,npar,1,nlstate);
1.126     brouard  6260:     gp=vector(1,nlstate);
                   6261:     gm=vector(1,nlstate);
                   6262: 
                   6263:     for(theta=1; theta <=npar; theta++){
                   6264:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   6265:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6266:       }
1.288     brouard  6267:       /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */
                   6268:       /*       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */
                   6269:       /* else */
                   6270:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
1.208     brouard  6271:       for(i=1;i<=nlstate;i++){
1.126     brouard  6272:        gp[i] = prlim[i][i];
1.208     brouard  6273:        mgp[theta][i] = prlim[i][i];
                   6274:       }
1.126     brouard  6275:       for(i=1; i<=npar; i++) /* Computes gradient */
                   6276:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.288     brouard  6277:       /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */
                   6278:       /*       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */
                   6279:       /* else */
                   6280:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
1.208     brouard  6281:       for(i=1;i<=nlstate;i++){
1.126     brouard  6282:        gm[i] = prlim[i][i];
1.208     brouard  6283:        mgm[theta][i] = prlim[i][i];
                   6284:       }
1.126     brouard  6285:       for(i=1;i<=nlstate;i++)
                   6286:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
1.209     brouard  6287:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
1.126     brouard  6288:     } /* End theta */
                   6289: 
                   6290:     trgradg =matrix(1,nlstate,1,npar);
                   6291: 
                   6292:     for(j=1; j<=nlstate;j++)
                   6293:       for(theta=1; theta <=npar; theta++)
                   6294:        trgradg[j][theta]=gradg[theta][j];
1.209     brouard  6295:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6296:     /*   printf("\nmgm mgp %d ",(int)age); */
                   6297:     /*   for(j=1; j<=nlstate;j++){ */
                   6298:     /*         printf(" %d ",j); */
                   6299:     /*         for(theta=1; theta <=npar; theta++) */
                   6300:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   6301:     /*         printf("\n "); */
                   6302:     /*   } */
                   6303:     /* } */
                   6304:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6305:     /*   printf("\n gradg %d ",(int)age); */
                   6306:     /*   for(j=1; j<=nlstate;j++){ */
                   6307:     /*         printf("%d ",j); */
                   6308:     /*         for(theta=1; theta <=npar; theta++) */
                   6309:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   6310:     /*         printf("\n "); */
                   6311:     /*   } */
                   6312:     /* } */
1.126     brouard  6313: 
                   6314:     for(i=1;i<=nlstate;i++)
                   6315:       varpl[i][(int)age] =0.;
1.209     brouard  6316:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
1.268     brouard  6317:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6318:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  6319:     }else{
1.268     brouard  6320:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6321:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  6322:     }
1.126     brouard  6323:     for(i=1;i<=nlstate;i++)
                   6324:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   6325: 
                   6326:     fprintf(ficresvpl,"%.0f ",age );
1.241     brouard  6327:     if(nresult >=1)
                   6328:       fprintf(ficresvpl,"%d ",nres );
1.288     brouard  6329:     for(i=1; i<=nlstate;i++){
1.126     brouard  6330:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
1.288     brouard  6331:       /* for(j=1;j<=nlstate;j++) */
                   6332:       /*       fprintf(ficresvpl," %d %.5f ",j,prlim[j][i]); */
                   6333:     }
1.126     brouard  6334:     fprintf(ficresvpl,"\n");
                   6335:     free_vector(gp,1,nlstate);
                   6336:     free_vector(gm,1,nlstate);
1.208     brouard  6337:     free_matrix(mgm,1,npar,1,nlstate);
                   6338:     free_matrix(mgp,1,npar,1,nlstate);
1.126     brouard  6339:     free_matrix(gradg,1,npar,1,nlstate);
                   6340:     free_matrix(trgradg,1,nlstate,1,npar);
                   6341:   } /* End age */
                   6342: 
                   6343:   free_vector(xp,1,npar);
                   6344:   free_matrix(doldm,1,nlstate,1,npar);
1.268     brouard  6345:   free_matrix(dnewmpar,1,nlstate,1,nlstate);
                   6346: 
                   6347: }
                   6348: 
                   6349: 
                   6350: /************ Variance of backprevalence limit ******************/
1.269     brouard  6351:  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  6352: {
                   6353:   /* Variance of backward prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
                   6354:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
                   6355: 
                   6356:   double **dnewmpar,**doldm;
                   6357:   int i, j, nhstepm, hstepm;
                   6358:   double *xp;
                   6359:   double *gp, *gm;
                   6360:   double **gradg, **trgradg;
                   6361:   double **mgm, **mgp;
                   6362:   double age,agelim;
                   6363:   int theta;
                   6364:   
                   6365:   pstamp(ficresvbl);
                   6366:   fprintf(ficresvbl,"# Standard deviation of back (stable) prevalences \n");
                   6367:   fprintf(ficresvbl,"# Age ");
                   6368:   if(nresult >=1)
                   6369:     fprintf(ficresvbl," Result# ");
                   6370:   for(i=1; i<=nlstate;i++)
                   6371:       fprintf(ficresvbl," %1d-%1d",i,i);
                   6372:   fprintf(ficresvbl,"\n");
                   6373: 
                   6374:   xp=vector(1,npar);
                   6375:   dnewmpar=matrix(1,nlstate,1,npar);
                   6376:   doldm=matrix(1,nlstate,1,nlstate);
                   6377:   
                   6378:   hstepm=1*YEARM; /* Every year of age */
                   6379:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   6380:   agelim = AGEINF;
                   6381:   for (age=fage; age>=bage; age --){ /* If stepm=6 months */
                   6382:     nhstepm=(int) rint((age-agelim)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6383:     if (stepm >= YEARM) hstepm=1;
                   6384:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6385:     gradg=matrix(1,npar,1,nlstate);
                   6386:     mgp=matrix(1,npar,1,nlstate);
                   6387:     mgm=matrix(1,npar,1,nlstate);
                   6388:     gp=vector(1,nlstate);
                   6389:     gm=vector(1,nlstate);
                   6390: 
                   6391:     for(theta=1; theta <=npar; theta++){
                   6392:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   6393:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6394:       }
                   6395:       if(mobilavproj > 0 )
                   6396:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6397:       else
                   6398:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6399:       for(i=1;i<=nlstate;i++){
                   6400:        gp[i] = bprlim[i][i];
                   6401:        mgp[theta][i] = bprlim[i][i];
                   6402:       }
                   6403:      for(i=1; i<=npar; i++) /* Computes gradient */
                   6404:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   6405:        if(mobilavproj > 0 )
                   6406:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6407:        else
                   6408:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6409:       for(i=1;i<=nlstate;i++){
                   6410:        gm[i] = bprlim[i][i];
                   6411:        mgm[theta][i] = bprlim[i][i];
                   6412:       }
                   6413:       for(i=1;i<=nlstate;i++)
                   6414:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
                   6415:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
                   6416:     } /* End theta */
                   6417: 
                   6418:     trgradg =matrix(1,nlstate,1,npar);
                   6419: 
                   6420:     for(j=1; j<=nlstate;j++)
                   6421:       for(theta=1; theta <=npar; theta++)
                   6422:        trgradg[j][theta]=gradg[theta][j];
                   6423:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6424:     /*   printf("\nmgm mgp %d ",(int)age); */
                   6425:     /*   for(j=1; j<=nlstate;j++){ */
                   6426:     /*         printf(" %d ",j); */
                   6427:     /*         for(theta=1; theta <=npar; theta++) */
                   6428:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   6429:     /*         printf("\n "); */
                   6430:     /*   } */
                   6431:     /* } */
                   6432:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6433:     /*   printf("\n gradg %d ",(int)age); */
                   6434:     /*   for(j=1; j<=nlstate;j++){ */
                   6435:     /*         printf("%d ",j); */
                   6436:     /*         for(theta=1; theta <=npar; theta++) */
                   6437:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   6438:     /*         printf("\n "); */
                   6439:     /*   } */
                   6440:     /* } */
                   6441: 
                   6442:     for(i=1;i<=nlstate;i++)
                   6443:       varbpl[i][(int)age] =0.;
                   6444:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
                   6445:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6446:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
                   6447:     }else{
                   6448:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6449:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
                   6450:     }
                   6451:     for(i=1;i<=nlstate;i++)
                   6452:       varbpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   6453: 
                   6454:     fprintf(ficresvbl,"%.0f ",age );
                   6455:     if(nresult >=1)
                   6456:       fprintf(ficresvbl,"%d ",nres );
                   6457:     for(i=1; i<=nlstate;i++)
                   6458:       fprintf(ficresvbl," %.5f (%.5f)",bprlim[i][i],sqrt(varbpl[i][(int)age]));
                   6459:     fprintf(ficresvbl,"\n");
                   6460:     free_vector(gp,1,nlstate);
                   6461:     free_vector(gm,1,nlstate);
                   6462:     free_matrix(mgm,1,npar,1,nlstate);
                   6463:     free_matrix(mgp,1,npar,1,nlstate);
                   6464:     free_matrix(gradg,1,npar,1,nlstate);
                   6465:     free_matrix(trgradg,1,nlstate,1,npar);
                   6466:   } /* End age */
                   6467: 
                   6468:   free_vector(xp,1,npar);
                   6469:   free_matrix(doldm,1,nlstate,1,npar);
                   6470:   free_matrix(dnewmpar,1,nlstate,1,nlstate);
1.126     brouard  6471: 
                   6472: }
                   6473: 
                   6474: /************ Variance of one-step probabilities  ******************/
                   6475: 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  6476:  {
                   6477:    int i, j=0,  k1, l1, tj;
                   6478:    int k2, l2, j1,  z1;
                   6479:    int k=0, l;
                   6480:    int first=1, first1, first2;
                   6481:    double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   6482:    double **dnewm,**doldm;
                   6483:    double *xp;
                   6484:    double *gp, *gm;
                   6485:    double **gradg, **trgradg;
                   6486:    double **mu;
                   6487:    double age, cov[NCOVMAX+1];
                   6488:    double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   6489:    int theta;
                   6490:    char fileresprob[FILENAMELENGTH];
                   6491:    char fileresprobcov[FILENAMELENGTH];
                   6492:    char fileresprobcor[FILENAMELENGTH];
                   6493:    double ***varpij;
                   6494: 
                   6495:    strcpy(fileresprob,"PROB_"); 
                   6496:    strcat(fileresprob,fileres);
                   6497:    if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   6498:      printf("Problem with resultfile: %s\n", fileresprob);
                   6499:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   6500:    }
                   6501:    strcpy(fileresprobcov,"PROBCOV_"); 
                   6502:    strcat(fileresprobcov,fileresu);
                   6503:    if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   6504:      printf("Problem with resultfile: %s\n", fileresprobcov);
                   6505:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   6506:    }
                   6507:    strcpy(fileresprobcor,"PROBCOR_"); 
                   6508:    strcat(fileresprobcor,fileresu);
                   6509:    if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   6510:      printf("Problem with resultfile: %s\n", fileresprobcor);
                   6511:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   6512:    }
                   6513:    printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   6514:    fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   6515:    printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   6516:    fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   6517:    printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   6518:    fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   6519:    pstamp(ficresprob);
                   6520:    fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   6521:    fprintf(ficresprob,"# Age");
                   6522:    pstamp(ficresprobcov);
                   6523:    fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   6524:    fprintf(ficresprobcov,"# Age");
                   6525:    pstamp(ficresprobcor);
                   6526:    fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   6527:    fprintf(ficresprobcor,"# Age");
1.126     brouard  6528: 
                   6529: 
1.222     brouard  6530:    for(i=1; i<=nlstate;i++)
                   6531:      for(j=1; j<=(nlstate+ndeath);j++){
                   6532:        fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   6533:        fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   6534:        fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   6535:      }  
                   6536:    /* fprintf(ficresprob,"\n");
                   6537:       fprintf(ficresprobcov,"\n");
                   6538:       fprintf(ficresprobcor,"\n");
                   6539:    */
                   6540:    xp=vector(1,npar);
                   6541:    dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   6542:    doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   6543:    mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   6544:    varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   6545:    first=1;
                   6546:    fprintf(ficgp,"\n# Routine varprob");
                   6547:    fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   6548:    fprintf(fichtm,"\n");
                   6549: 
1.288     brouard  6550:    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  6551:    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);
                   6552:    fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
1.126     brouard  6553: and drawn. It helps understanding how is the covariance between two incidences.\
                   6554:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
1.222     brouard  6555:    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  6556: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   6557: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   6558: standard deviations wide on each axis. <br>\
                   6559:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   6560:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   6561: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   6562: 
1.222     brouard  6563:    cov[1]=1;
                   6564:    /* tj=cptcoveff; */
1.225     brouard  6565:    tj = (int) pow(2,cptcoveff);
1.222     brouard  6566:    if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   6567:    j1=0;
1.224     brouard  6568:    for(j1=1; j1<=tj;j1++){  /* For each valid combination of covariates or only once*/
1.222     brouard  6569:      if  (cptcovn>0) {
                   6570:        fprintf(ficresprob, "\n#********** Variable "); 
1.225     brouard  6571:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6572:        fprintf(ficresprob, "**********\n#\n");
                   6573:        fprintf(ficresprobcov, "\n#********** Variable "); 
1.225     brouard  6574:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6575:        fprintf(ficresprobcov, "**********\n#\n");
1.220     brouard  6576:                        
1.222     brouard  6577:        fprintf(ficgp, "\n#********** Variable "); 
1.225     brouard  6578:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6579:        fprintf(ficgp, "**********\n#\n");
1.220     brouard  6580:                        
                   6581:                        
1.222     brouard  6582:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
1.225     brouard  6583:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6584:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  6585:                        
1.222     brouard  6586:        fprintf(ficresprobcor, "\n#********** Variable ");    
1.225     brouard  6587:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6588:        fprintf(ficresprobcor, "**********\n#");    
                   6589:        if(invalidvarcomb[j1]){
                   6590:         fprintf(ficgp,"\n#Combination (%d) ignored because no cases \n",j1); 
                   6591:         fprintf(fichtmcov,"\n<h3>Combination (%d) ignored because no cases </h3>\n",j1); 
                   6592:         continue;
                   6593:        }
                   6594:      }
                   6595:      gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   6596:      trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   6597:      gp=vector(1,(nlstate)*(nlstate+ndeath));
                   6598:      gm=vector(1,(nlstate)*(nlstate+ndeath));
                   6599:      for (age=bage; age<=fage; age ++){ 
                   6600:        cov[2]=age;
                   6601:        if(nagesqr==1)
                   6602:         cov[3]= age*age;
                   6603:        for (k=1; k<=cptcovn;k++) {
                   6604:         cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
                   6605:         /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
                   6606:                                                                    * 1  1 1 1 1
                   6607:                                                                    * 2  2 1 1 1
                   6608:                                                                    * 3  1 2 1 1
                   6609:                                                                    */
                   6610:         /* nbcode[1][1]=0 nbcode[1][2]=1;*/
                   6611:        }
                   6612:        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   6613:        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   6614:        for (k=1; k<=cptcovprod;k++)
                   6615:         cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.220     brouard  6616:                        
                   6617:                        
1.222     brouard  6618:        for(theta=1; theta <=npar; theta++){
                   6619:         for(i=1; i<=npar; i++)
                   6620:           xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
1.220     brouard  6621:                                
1.222     brouard  6622:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
1.220     brouard  6623:                                
1.222     brouard  6624:         k=0;
                   6625:         for(i=1; i<= (nlstate); i++){
                   6626:           for(j=1; j<=(nlstate+ndeath);j++){
                   6627:             k=k+1;
                   6628:             gp[k]=pmmij[i][j];
                   6629:           }
                   6630:         }
1.220     brouard  6631:                                
1.222     brouard  6632:         for(i=1; i<=npar; i++)
                   6633:           xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
1.220     brouard  6634:                                
1.222     brouard  6635:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   6636:         k=0;
                   6637:         for(i=1; i<=(nlstate); i++){
                   6638:           for(j=1; j<=(nlstate+ndeath);j++){
                   6639:             k=k+1;
                   6640:             gm[k]=pmmij[i][j];
                   6641:           }
                   6642:         }
1.220     brouard  6643:                                
1.222     brouard  6644:         for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   6645:           gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   6646:        }
1.126     brouard  6647: 
1.222     brouard  6648:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   6649:         for(theta=1; theta <=npar; theta++)
                   6650:           trgradg[j][theta]=gradg[theta][j];
1.220     brouard  6651:                        
1.222     brouard  6652:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   6653:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
1.220     brouard  6654:                        
1.222     brouard  6655:        pmij(pmmij,cov,ncovmodel,x,nlstate);
1.220     brouard  6656:                        
1.222     brouard  6657:        k=0;
                   6658:        for(i=1; i<=(nlstate); i++){
                   6659:         for(j=1; j<=(nlstate+ndeath);j++){
                   6660:           k=k+1;
                   6661:           mu[k][(int) age]=pmmij[i][j];
                   6662:         }
                   6663:        }
                   6664:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   6665:         for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   6666:           varpij[i][j][(int)age] = doldm[i][j];
1.220     brouard  6667:                        
1.222     brouard  6668:        /*printf("\n%d ",(int)age);
                   6669:         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   6670:         printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   6671:         fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   6672:         }*/
1.220     brouard  6673:                        
1.222     brouard  6674:        fprintf(ficresprob,"\n%d ",(int)age);
                   6675:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   6676:        fprintf(ficresprobcor,"\n%d ",(int)age);
1.220     brouard  6677:                        
1.222     brouard  6678:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   6679:         fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   6680:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   6681:         fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   6682:         fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   6683:        }
                   6684:        i=0;
                   6685:        for (k=1; k<=(nlstate);k++){
                   6686:         for (l=1; l<=(nlstate+ndeath);l++){ 
                   6687:           i++;
                   6688:           fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   6689:           fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   6690:           for (j=1; j<=i;j++){
                   6691:             /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
                   6692:             fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   6693:             fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   6694:           }
                   6695:         }
                   6696:        }/* end of loop for state */
                   6697:      } /* end of loop for age */
                   6698:      free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   6699:      free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   6700:      free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   6701:      free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   6702:     
                   6703:      /* Confidence intervalle of pij  */
                   6704:      /*
                   6705:        fprintf(ficgp,"\nunset parametric;unset label");
                   6706:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   6707:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   6708:        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);
                   6709:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   6710:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   6711:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   6712:      */
                   6713:                
                   6714:      /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
                   6715:      first1=1;first2=2;
                   6716:      for (k2=1; k2<=(nlstate);k2++){
                   6717:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   6718:         if(l2==k2) continue;
                   6719:         j=(k2-1)*(nlstate+ndeath)+l2;
                   6720:         for (k1=1; k1<=(nlstate);k1++){
                   6721:           for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   6722:             if(l1==k1) continue;
                   6723:             i=(k1-1)*(nlstate+ndeath)+l1;
                   6724:             if(i<=j) continue;
                   6725:             for (age=bage; age<=fage; age ++){ 
                   6726:               if ((int)age %5==0){
                   6727:                 v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   6728:                 v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   6729:                 cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   6730:                 mu1=mu[i][(int) age]/stepm*YEARM ;
                   6731:                 mu2=mu[j][(int) age]/stepm*YEARM;
                   6732:                 c12=cv12/sqrt(v1*v2);
                   6733:                 /* Computing eigen value of matrix of covariance */
                   6734:                 lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   6735:                 lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   6736:                 if ((lc2 <0) || (lc1 <0) ){
                   6737:                   if(first2==1){
                   6738:                     first1=0;
                   6739:                     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);
                   6740:                   }
                   6741:                   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);
                   6742:                   /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   6743:                   /* lc2=fabs(lc2); */
                   6744:                 }
1.220     brouard  6745:                                                                
1.222     brouard  6746:                 /* Eigen vectors */
1.280     brouard  6747:                 if(1+(v1-lc1)*(v1-lc1)/cv12/cv12 <1.e-5){
                   6748:                   printf(" Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12);
                   6749:                   fprintf(ficlog," Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12);
                   6750:                   v11=(1./sqrt(fabs(1+(v1-lc1)*(v1-lc1)/cv12/cv12)));
                   6751:                 }else
                   6752:                   v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
1.222     brouard  6753:                 /*v21=sqrt(1.-v11*v11); *//* error */
                   6754:                 v21=(lc1-v1)/cv12*v11;
                   6755:                 v12=-v21;
                   6756:                 v22=v11;
                   6757:                 tnalp=v21/v11;
                   6758:                 if(first1==1){
                   6759:                   first1=0;
                   6760:                   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);
                   6761:                 }
                   6762:                 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);
                   6763:                 /*printf(fignu*/
                   6764:                 /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   6765:                 /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   6766:                 if(first==1){
                   6767:                   first=0;
                   6768:                   fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
                   6769:                   fprintf(ficgp,"\nset parametric;unset label");
                   6770:                   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);
                   6771:                   fprintf(ficgp,"\nset ter svg size 640, 480");
1.266     brouard  6772:                   fprintf(fichtmcov,"\n<p><br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
1.220     brouard  6773:  :<a href=\"%s_%d%1d%1d-%1d%1d.svg\">                                                                                                                                          \
1.201     brouard  6774: %s_%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
1.222     brouard  6775:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2,      \
                   6776:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6777:                   fprintf(fichtmcov,"\n<br><img src=\"%s_%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6778:                   fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                   6779:                   fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6780:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   6781:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   6782:                   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  6783:                           mu1,std,v11,sqrt(fabs(lc1)),v12,sqrt(fabs(lc2)), \
                   6784:                           mu2,std,v21,sqrt(fabs(lc1)),v22,sqrt(fabs(lc2))); /* For gnuplot only */
1.222     brouard  6785:                 }else{
                   6786:                   first=0;
                   6787:                   fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   6788:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   6789:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   6790:                   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  6791:                           mu1,std,v11,sqrt(lc1),v12,sqrt(fabs(lc2)),   \
                   6792:                           mu2,std,v21,sqrt(lc1),v22,sqrt(fabs(lc2)));
1.222     brouard  6793:                 }/* if first */
                   6794:               } /* age mod 5 */
                   6795:             } /* end loop age */
                   6796:             fprintf(ficgp,"\nset out;\nset out \"%s_%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6797:             first=1;
                   6798:           } /*l12 */
                   6799:         } /* k12 */
                   6800:        } /*l1 */
                   6801:      }/* k1 */
                   6802:    }  /* loop on combination of covariates j1 */
                   6803:    free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   6804:    free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   6805:    free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   6806:    free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   6807:    free_vector(xp,1,npar);
                   6808:    fclose(ficresprob);
                   6809:    fclose(ficresprobcov);
                   6810:    fclose(ficresprobcor);
                   6811:    fflush(ficgp);
                   6812:    fflush(fichtmcov);
                   6813:  }
1.126     brouard  6814: 
                   6815: 
                   6816: /******************* Printing html file ***********/
1.201     brouard  6817: void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  6818:                  int lastpass, int stepm, int weightopt, char model[],\
                   6819:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
1.296   ! brouard  6820:                  int popforecast, int mobilav, int prevfcast, int mobilavproj, int prevbcast, int estepm , \
        !          6821:                  double jprev1, double mprev1,double anprev1, double dateprev1, double dateprojd, double dateback1, \
        !          6822:                  double jprev2, double mprev2,double anprev2, double dateprev2, double dateprojf, double dateback2){
1.237     brouard  6823:   int jj1, k1, i1, cpt, k4, nres;
1.126     brouard  6824: 
                   6825:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   6826:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   6827: </ul>");
1.237     brouard  6828:    fprintf(fichtm,"<ul><li> model=1+age+%s\n \
                   6829: </ul>", model);
1.214     brouard  6830:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n");
                   6831:    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",
                   6832:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTMFR_",".htm"),subdirfext3(optionfilefiname,"PHTMFR_",".htm"));
                   6833:    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  6834:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTM_",".htm"),subdirfext3(optionfilefiname,"PHTM_",".htm"));
                   6835:    fprintf(fichtm,",  <a href=\"%s\">%s</a> (text file) <br>\n",subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_"));
1.126     brouard  6836:    fprintf(fichtm,"\
                   6837:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
1.201     brouard  6838:           stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_"));
1.126     brouard  6839:    fprintf(fichtm,"\
1.217     brouard  6840:  - Estimated back transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
                   6841:           stepm,subdirf2(fileresu,"PIJB_"),subdirf2(fileresu,"PIJB_"));
                   6842:    fprintf(fichtm,"\
1.288     brouard  6843:  - Period (forward) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  6844:           subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
1.126     brouard  6845:    fprintf(fichtm,"\
1.288     brouard  6846:  - Backward prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.217     brouard  6847:           subdirf2(fileresu,"PLB_"),subdirf2(fileresu,"PLB_"));
                   6848:    fprintf(fichtm,"\
1.211     brouard  6849:  - (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  6850:    <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  6851:           estepm,subdirf2(fileresu,"E_"),subdirf2(fileresu,"E_"));
1.211     brouard  6852:    if(prevfcast==1){
                   6853:      fprintf(fichtm,"\
                   6854:  - Prevalence projections by age and states:                           \
1.201     brouard  6855:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
1.211     brouard  6856:    }
1.126     brouard  6857: 
                   6858: 
1.225     brouard  6859:    m=pow(2,cptcoveff);
1.222     brouard  6860:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  6861: 
1.264     brouard  6862:    fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
                   6863: 
                   6864:    jj1=0;
                   6865: 
                   6866:    fprintf(fichtm," \n<ul>");
                   6867:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   6868:    for(k1=1; k1<=m;k1++){ /* For each combination of covariate */
                   6869:      if(m != 1 && TKresult[nres]!= k1)
                   6870:        continue;
                   6871:      jj1++;
                   6872:      if (cptcovn > 0) {
                   6873:        fprintf(fichtm,"\n<li><a  size=\"1\" color=\"#EC5E5E\" href=\"#rescov");
                   6874:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   6875:         fprintf(fichtm,"_V%d=%d_",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6876:        }
                   6877:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6878:         fprintf(fichtm,"_V%d=%f_",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6879:        }
                   6880:        fprintf(fichtm,"\">");
                   6881:        
                   6882:        /* if(nqfveff+nqtveff 0) */ /* Test to be done */
                   6883:        fprintf(fichtm,"************ Results for covariates");
                   6884:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   6885:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6886:        }
                   6887:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6888:         fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6889:        }
                   6890:        if(invalidvarcomb[k1]){
                   6891:         fprintf(fichtm," Warning Combination (%d) ignored because no cases ",k1); 
                   6892:         continue;
                   6893:        }
                   6894:        fprintf(fichtm,"</a></li>");
                   6895:      } /* cptcovn >0 */
                   6896:    }
                   6897:      fprintf(fichtm," \n</ul>");
                   6898: 
1.222     brouard  6899:    jj1=0;
1.237     brouard  6900: 
                   6901:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
1.241     brouard  6902:    for(k1=1; k1<=m;k1++){ /* For each combination of covariate */
1.253     brouard  6903:      if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  6904:        continue;
1.220     brouard  6905: 
1.222     brouard  6906:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   6907:      jj1++;
                   6908:      if (cptcovn > 0) {
1.264     brouard  6909:        fprintf(fichtm,"\n<p><a name=\"rescov");
                   6910:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   6911:         fprintf(fichtm,"_V%d=%d_",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6912:        }
                   6913:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6914:         fprintf(fichtm,"_V%d=%f_",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6915:        }
                   6916:        fprintf(fichtm,"\"</a>");
                   6917:  
1.222     brouard  6918:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  6919:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
1.237     brouard  6920:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6921:         printf(" V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);fflush(stdout);
                   6922:         /* fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]); */
                   6923:         /* printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout); */
1.222     brouard  6924:        }
1.237     brouard  6925:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6926:        fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6927:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);fflush(stdout);
                   6928:       }
                   6929:        
1.230     brouard  6930:        /* if(nqfveff+nqtveff 0) */ /* Test to be done */
1.222     brouard  6931:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   6932:        if(invalidvarcomb[k1]){
                   6933:         fprintf(fichtm,"\n<h3>Combination (%d) ignored because no cases </h3>\n",k1); 
                   6934:         printf("\nCombination (%d) ignored because no cases \n",k1); 
                   6935:         continue;
                   6936:        }
                   6937:      }
                   6938:      /* aij, bij */
1.259     brouard  6939:      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  6940: <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  6941:      /* Pij */
1.241     brouard  6942:      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> \
                   6943: <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  6944:      /* Quasi-incidences */
                   6945:      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  6946:  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too, \
1.211     brouard  6947:  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  6948: 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> \
                   6949: <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  6950:      /* Survival functions (period) in state j */
                   6951:      for(cpt=1; cpt<=nlstate;cpt++){
1.292     brouard  6952:        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  6953: <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  6954:      }
                   6955:      /* State specific survival functions (period) */
                   6956:      for(cpt=1; cpt<=nlstate;cpt++){
1.292     brouard  6957:        fprintf(fichtm,"<br>\n- Survival functions in state %d and in any other live state (total).\
                   6958:  And probability to be observed in various states (up to %d) being in state %d at different ages.      \
1.283     brouard  6959:  <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  6960:      }
1.288     brouard  6961:      /* Period (forward stable) prevalence in each health state */
1.222     brouard  6962:      for(cpt=1; cpt<=nlstate;cpt++){
1.264     brouard  6963:        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> \
                   6964: <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  6965:      }
1.296   ! brouard  6966:      if(prevbcast==1){
1.288     brouard  6967:        /* Backward prevalence in each health state */
1.222     brouard  6968:        for(cpt=1; cpt<=nlstate;cpt++){
1.264     brouard  6969:         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  6970: <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  6971:        }
1.217     brouard  6972:      }
1.222     brouard  6973:      if(prevfcast==1){
1.288     brouard  6974:        /* Projection of prevalence up to period (forward stable) prevalence in each health state */
1.222     brouard  6975:        for(cpt=1; cpt<=nlstate;cpt++){
1.288     brouard  6976:         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  6977: <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  6978:        }
                   6979:      }
1.296   ! brouard  6980:      if(prevbcast==1){
1.268     brouard  6981:       /* Back projection of prevalence up to stable (mixed) back-prevalence in each health state */
                   6982:        for(cpt=1; cpt<=nlstate;cpt++){
1.273     brouard  6983:         fprintf(fichtm,"<br>\n- Back projection of cross-sectional prevalence (estimated with cases observed from %.1f to %.1f and mobil_average=%d), \
                   6984:  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 \
                   6985:  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) \
                   6986: with weights corresponding to observed prevalence at different ages. <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a><br> \
                   6987:  <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  6988:        }
                   6989:      }
1.220     brouard  6990:         
1.222     brouard  6991:      for(cpt=1; cpt<=nlstate;cpt++) {
1.241     brouard  6992:        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> \
                   6993: <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  6994:      }
                   6995:      /* } /\* end i1 *\/ */
                   6996:    }/* End k1 */
                   6997:    fprintf(fichtm,"</ul>");
1.126     brouard  6998: 
1.222     brouard  6999:    fprintf(fichtm,"\
1.126     brouard  7000: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
1.193     brouard  7001:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
1.203     brouard  7002:  - 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  7003: But because parameters are usually highly correlated (a higher incidence of disability \
                   7004: and a higher incidence of recovery can give very close observed transition) it might \
                   7005: be very useful to look not only at linear confidence intervals estimated from the \
                   7006: variances but at the covariance matrix. And instead of looking at the estimated coefficients \
                   7007: (parameters) of the logistic regression, it might be more meaningful to visualize the \
                   7008: covariance matrix of the one-step probabilities. \
                   7009: See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
1.126     brouard  7010: 
1.222     brouard  7011:    fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   7012:           subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_"));
                   7013:    fprintf(fichtm,"\
1.126     brouard  7014:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  7015:           subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_"));
1.126     brouard  7016: 
1.222     brouard  7017:    fprintf(fichtm,"\
1.126     brouard  7018:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  7019:           subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"PROBCOR_"));
                   7020:    fprintf(fichtm,"\
1.126     brouard  7021:  - 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): \
                   7022:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  7023:           estepm,subdirf2(fileresu,"CVE_"),subdirf2(fileresu,"CVE_"));
1.222     brouard  7024:    fprintf(fichtm,"\
1.126     brouard  7025:  - (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): \
                   7026:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  7027:           estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_"));
1.222     brouard  7028:    fprintf(fichtm,"\
1.288     brouard  7029:  - 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  7030:           estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_"));
                   7031:    fprintf(fichtm,"\
1.128     brouard  7032:  - 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  7033:           estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_"));
                   7034:    fprintf(fichtm,"\
1.288     brouard  7035:  - Standard deviation of forward (period) prevalences: <a href=\"%s\">%s</a> <br>\n",\
1.222     brouard  7036:           subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
1.126     brouard  7037: 
                   7038: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   7039: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   7040: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   7041: /*     <br>",fileres,fileres,fileres,fileres); */
                   7042: /*  else  */
                   7043: /*    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  7044:    fflush(fichtm);
                   7045:    fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
1.126     brouard  7046: 
1.225     brouard  7047:    m=pow(2,cptcoveff);
1.222     brouard  7048:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  7049: 
1.222     brouard  7050:    jj1=0;
1.237     brouard  7051: 
1.241     brouard  7052:    for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.222     brouard  7053:    for(k1=1; k1<=m;k1++){
1.253     brouard  7054:      if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7055:        continue;
1.222     brouard  7056:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   7057:      jj1++;
1.126     brouard  7058:      if (cptcovn > 0) {
                   7059:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  7060:        for (cpt=1; cpt<=cptcoveff;cpt++)  /**< cptcoveff number of variables */
1.237     brouard  7061:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);
                   7062:         /* fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]); */
                   7063:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7064:        fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7065:       }
                   7066: 
1.126     brouard  7067:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  7068: 
1.222     brouard  7069:        if(invalidvarcomb[k1]){
                   7070:         fprintf(fichtm,"\n<h4>Combination (%d) ignored because no cases </h4>\n",k1); 
                   7071:         continue;
                   7072:        }
1.126     brouard  7073:      }
                   7074:      for(cpt=1; cpt<=nlstate;cpt++) {
1.258     brouard  7075:        fprintf(fichtm,"\n<br>- Observed (cross-sectional with mov_average=%d) and period (incidence based) \
1.241     brouard  7076: 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  7077: <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  7078:      }
                   7079:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.128     brouard  7080: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
                   7081: true period expectancies (those weighted with period prevalences are also\
                   7082:  drawn in addition to the population based expectancies computed using\
1.241     brouard  7083:  observed and cahotic prevalences:  <a href=\"%s_%d-%d.svg\">%s_%d-%d.svg</a>\n<br>\
                   7084: <img src=\"%s_%d-%d.svg\">",subdirf2(optionfilefiname,"E_"),k1,nres,subdirf2(optionfilefiname,"E_"),k1,nres,subdirf2(optionfilefiname,"E_"),k1,nres);
1.222     brouard  7085:      /* } /\* end i1 *\/ */
                   7086:    }/* End k1 */
1.241     brouard  7087:   }/* End nres */
1.222     brouard  7088:    fprintf(fichtm,"</ul>");
                   7089:    fflush(fichtm);
1.126     brouard  7090: }
                   7091: 
                   7092: /******************* Gnuplot file **************/
1.296   ! brouard  7093: 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  7094: 
                   7095:   char dirfileres[132],optfileres[132];
1.264     brouard  7096:   char gplotcondition[132], gplotlabel[132];
1.237     brouard  7097:   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  7098:   int lv=0, vlv=0, kl=0;
1.130     brouard  7099:   int ng=0;
1.201     brouard  7100:   int vpopbased;
1.223     brouard  7101:   int ioffset; /* variable offset for columns */
1.270     brouard  7102:   int iyearc=1; /* variable column for year of projection  */
                   7103:   int iagec=1; /* variable column for age of projection  */
1.235     brouard  7104:   int nres=0; /* Index of resultline */
1.266     brouard  7105:   int istart=1; /* For starting graphs in projections */
1.219     brouard  7106: 
1.126     brouard  7107: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   7108: /*     printf("Problem with file %s",optionfilegnuplot); */
                   7109: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   7110: /*   } */
                   7111: 
                   7112:   /*#ifdef windows */
                   7113:   fprintf(ficgp,"cd \"%s\" \n",pathc);
1.223     brouard  7114:   /*#endif */
1.225     brouard  7115:   m=pow(2,cptcoveff);
1.126     brouard  7116: 
1.274     brouard  7117:   /* diagram of the model */
                   7118:   fprintf(ficgp,"\n#Diagram of the model \n");
                   7119:   fprintf(ficgp,"\ndelta=0.03;delta2=0.07;unset arrow;\n");
                   7120:   fprintf(ficgp,"yoff=(%d > 2? 0:1);\n",nlstate);
                   7121:   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);
                   7122: 
                   7123:   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);
                   7124:   fprintf(ficgp,"\n#show arrow\nunset label\n");
                   7125:   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);
                   7126:   fprintf(ficgp,"\nset label %d+1 sprintf(\"State %%d\",%d+1) center at 0.,0.  font \"helvetica, 16\" tc rgbcolor \"red\"\n",nlstate,nlstate);
                   7127:   fprintf(ficgp,"\n#show label\nunset border;unset xtics; unset ytics;\n");
                   7128:   fprintf(ficgp,"\n\nset ter svg size 640, 480;set out \"%s_.svg\" \n",subdirf2(optionfilefiname,"D_"));
                   7129:   fprintf(ficgp,"unset log y; plot [-1.2:1.2][yoff-1.2:1.2] 1/0 not; set out;reset;\n");
                   7130: 
1.202     brouard  7131:   /* Contribution to likelihood */
                   7132:   /* Plot the probability implied in the likelihood */
1.223     brouard  7133:   fprintf(ficgp,"\n# Contributions to the Likelihood, mle >=1. For mle=4 no interpolation, pure matrix products.\n#\n");
                   7134:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Likelihood (-2Log(L))\";");
                   7135:   /* fprintf(ficgp,"\nset ter svg size 640, 480"); */ /* Too big for svg */
                   7136:   fprintf(ficgp,"\nset ter pngcairo size 640, 480");
1.204     brouard  7137: /* nice for mle=4 plot by number of matrix products.
1.202     brouard  7138:    replot  "rrtest1/toto.txt" u 2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with point lc 1 */
                   7139: /* replot exp(p1+p2*x)/(1+exp(p1+p2*x)+exp(p3+p4*x)+exp(p5+p6*x)) t "p12(x)"  */
1.223     brouard  7140:   /* fprintf(ficgp,"\nset out \"%s.svg\";",subdirf2(optionfilefiname,"ILK_")); */
                   7141:   fprintf(ficgp,"\nset out \"%s-dest.png\";",subdirf2(optionfilefiname,"ILK_"));
                   7142:   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));
                   7143:   fprintf(ficgp,"\nset out \"%s-ori.png\";",subdirf2(optionfilefiname,"ILK_"));
                   7144:   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));
                   7145:   for (i=1; i<= nlstate ; i ++) {
                   7146:     fprintf(ficgp,"\nset out \"%s-p%dj.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i);
                   7147:     fprintf(ficgp,"unset log;\n# plot weighted, mean weight should have point size of 0.5\n plot  \"%s\"",subdirf(fileresilk));
                   7148:     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);
                   7149:     for (j=2; j<= nlstate+ndeath ; j ++) {
                   7150:       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);
                   7151:     }
                   7152:     fprintf(ficgp,";\nset out; unset ylabel;\n"); 
                   7153:   }
                   7154:   /* 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 */               
                   7155:   /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
                   7156:   /* fprintf(ficgp,"\nreplot  \"%s\" u 2:($3 <= 3 ? -$11 : 1/0):3 t \"First 3 individuals\" with line lc variable", subdirf(fileresilk)); */
                   7157:   fprintf(ficgp,"\nset out;unset log\n");
                   7158:   /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
1.202     brouard  7159: 
1.126     brouard  7160:   strcpy(dirfileres,optionfilefiname);
                   7161:   strcpy(optfileres,"vpl");
1.223     brouard  7162:   /* 1eme*/
1.238     brouard  7163:   for (cpt=1; cpt<= nlstate ; cpt ++){ /* For each live state */
                   7164:     for (k1=1; k1<= m ; k1 ++){ /* For each valid combination of covariate */
1.236     brouard  7165:       for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.238     brouard  7166:        /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
1.253     brouard  7167:        if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7168:          continue;
                   7169:        /* We are interested in selected combination by the resultline */
1.246     brouard  7170:        /* printf("\n# 1st: Period (stable) prevalence with CI: 'VPL_' files and live state =%d ", cpt); */
1.288     brouard  7171:        fprintf(ficgp,"\n# 1st: Forward (stable period) prevalence with CI: 'VPL_' files  and live state =%d ", cpt);
1.264     brouard  7172:        strcpy(gplotlabel,"(");
1.238     brouard  7173:        for (k=1; k<=cptcoveff; k++){    /* For each covariate k get corresponding value lv for combination k1 */
                   7174:          lv= decodtabm(k1,k,cptcoveff); /* Should be the value of the covariate corresponding to k1 combination */
                   7175:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7176:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7177:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7178:          vlv= nbcode[Tvaraff[k]][lv]; /* vlv is the value of the covariate lv, 0 or 1 */
                   7179:          /* For each combination of covariate k1 (V1=1, V3=0), we printed the current covariate k and its value vlv */
1.246     brouard  7180:          /* printf(" V%d=%d ",Tvaraff[k],vlv); */
1.238     brouard  7181:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7182:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7183:        }
                   7184:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.246     brouard  7185:          /* printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
1.238     brouard  7186:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7187:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7188:        }
                   7189:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.246     brouard  7190:        /* printf("\n#\n"); */
1.238     brouard  7191:        fprintf(ficgp,"\n#\n");
                   7192:        if(invalidvarcomb[k1]){
1.260     brouard  7193:           /*k1=k1-1;*/ /* To be checked */
1.238     brouard  7194:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7195:          continue;
                   7196:        }
1.235     brouard  7197:       
1.241     brouard  7198:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1,nres);
                   7199:        fprintf(ficgp,"\n#set out \"V_%s_%d-%d-%d.svg\" \n",optionfilefiname,cpt,k1,nres);
1.276     brouard  7200:        /* fprintf(ficgp,"set label \"Alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel); */
                   7201:        fprintf(ficgp,"set title \"Alive state %d %s\" font \"Helvetica,12\"\n",cpt,gplotlabel);
1.260     brouard  7202:        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);
                   7203:        /* 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); */
                   7204:       /* k1-1 error should be nres-1*/
1.238     brouard  7205:        for (i=1; i<= nlstate ; i ++) {
                   7206:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7207:          else        fprintf(ficgp," %%*lf (%%*lf)");
                   7208:        }
1.288     brouard  7209:        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  7210:        for (i=1; i<= nlstate ; i ++) {
                   7211:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7212:          else fprintf(ficgp," %%*lf (%%*lf)");
                   7213:        } 
1.260     brouard  7214:        fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2==%d ? $3-1.96*$4 : 1/0) \"%%lf %%lf",subdirf2(fileresu,"VPL_"),nres-1,nres-1,nres); 
1.238     brouard  7215:        for (i=1; i<= nlstate ; i ++) {
                   7216:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7217:          else fprintf(ficgp," %%*lf (%%*lf)");
                   7218:        }  
1.265     brouard  7219:        /* fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence\" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1)); */
                   7220:        
                   7221:        fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" u 1:((",subdirf2(fileresu,"P_"));
                   7222:         if(cptcoveff ==0){
1.271     brouard  7223:          fprintf(ficgp,"$%d)) t 'Observed prevalence in state %d' with line lt 3",      2+3*(cpt-1),  cpt );
1.265     brouard  7224:        }else{
                   7225:          kl=0;
                   7226:          for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
                   7227:            lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7228:            /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7229:            /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7230:            /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7231:            vlv= nbcode[Tvaraff[k]][lv];
                   7232:            kl++;
                   7233:            /* 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 *\/ */
                   7234:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7235:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7236:            /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
                   7237:            if(k==cptcoveff){
                   7238:              fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Observed prevalence in state %d' w l lt 2",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
                   7239:                      2+cptcoveff*2+3*(cpt-1),  cpt );  /* 4 or 6 ?*/
                   7240:            }else{
                   7241:              fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                   7242:              kl++;
                   7243:            }
                   7244:          } /* end covariate */
                   7245:        } /* end if no covariate */
                   7246: 
1.296   ! brouard  7247:        if(prevbcast==1){ /* We need to get the corresponding values of the covariates involved in this combination k1 */
1.238     brouard  7248:          /* fprintf(ficgp,",\"%s\" every :::%d::%d u 1:($%d) t\"Backward stable prevalence\" w l lt 3",subdirf2(fileresu,"PLB_"),k1-1,k1-1,1+cpt); */
1.242     brouard  7249:          fprintf(ficgp,",\"%s\" u 1:((",subdirf2(fileresu,"PLB_")); /* Age is in 1, nres in 2 to be fixed */
1.238     brouard  7250:          if(cptcoveff ==0){
1.245     brouard  7251:            fprintf(ficgp,"$%d)) t 'Backward prevalence in state %d' with line lt 3",    2+(cpt-1),  cpt );
1.238     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];
1.223     brouard  7260:              kl++;
1.238     brouard  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):($5==2000? 3:2) t 'p.1' with line lc variable*/
                   7265:              if(k==cptcoveff){
1.245     brouard  7266:                fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Backward prevalence in state %d' w l lt 3",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
1.242     brouard  7267:                        2+cptcoveff*2+(cpt-1),  cpt );  /* 4 or 6 ?*/
1.238     brouard  7268:              }else{
                   7269:                fprintf(ficgp,"$%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 */
1.296   ! brouard  7274:          if(prevbcast == 1){
1.268     brouard  7275:            fprintf(ficgp,", \"%s\" every :::%d::%d u 1:($2==%d ? $3:1/0) \"%%lf %%lf",subdirf2(fileresu,"VBL_"),nres-1,nres-1,nres);
                   7276:            /* k1-1 error should be nres-1*/
                   7277:            for (i=1; i<= nlstate ; i ++) {
                   7278:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7279:              else        fprintf(ficgp," %%*lf (%%*lf)");
                   7280:            }
1.271     brouard  7281:            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  7282:            for (i=1; i<= nlstate ; i ++) {
                   7283:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7284:              else fprintf(ficgp," %%*lf (%%*lf)");
                   7285:            } 
1.276     brouard  7286:            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  7287:            for (i=1; i<= nlstate ; i ++) {
                   7288:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7289:              else fprintf(ficgp," %%*lf (%%*lf)");
                   7290:            } 
1.274     brouard  7291:            fprintf(ficgp,"\" t\"\" w l lt 4");
1.268     brouard  7292:          } /* end if backprojcast */
1.296   ! brouard  7293:        } /* end if prevbcast */
1.276     brouard  7294:        /* fprintf(ficgp,"\nset out ;unset label;\n"); */
                   7295:        fprintf(ficgp,"\nset out ;unset title;\n");
1.238     brouard  7296:       } /* nres */
1.201     brouard  7297:     } /* k1 */
                   7298:   } /* cpt */
1.235     brouard  7299: 
                   7300:   
1.126     brouard  7301:   /*2 eme*/
1.238     brouard  7302:   for (k1=1; k1<= m ; k1 ++){  
                   7303:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7304:       if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7305:        continue;
                   7306:       fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files ");
1.264     brouard  7307:       strcpy(gplotlabel,"(");
1.238     brouard  7308:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.225     brouard  7309:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  7310:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7311:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7312:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7313:        vlv= nbcode[Tvaraff[k]][lv];
                   7314:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7315:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  7316:       }
1.237     brouard  7317:       /* for(k=1; k <= ncovds; k++){ */
1.236     brouard  7318:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.238     brouard  7319:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.236     brouard  7320:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7321:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7322:       }
1.264     brouard  7323:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.211     brouard  7324:       fprintf(ficgp,"\n#\n");
1.223     brouard  7325:       if(invalidvarcomb[k1]){
                   7326:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7327:        continue;
                   7328:       }
1.219     brouard  7329:                        
1.241     brouard  7330:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"E_"),k1,nres);
1.238     brouard  7331:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.264     brouard  7332:        fprintf(ficgp,"\nset label \"popbased %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",vpopbased,gplotlabel);
                   7333:        if(vpopbased==0){
1.238     brouard  7334:          fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
1.264     brouard  7335:        }else
1.238     brouard  7336:          fprintf(ficgp,"\nreplot ");
                   7337:        for (i=1; i<= nlstate+1 ; i ++) {
                   7338:          k=2*i;
1.261     brouard  7339:          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  7340:          for (j=1; j<= nlstate+1 ; j ++) {
                   7341:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7342:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7343:          }   
                   7344:          if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l lt %d, \\\n",i);
                   7345:          else fprintf(ficgp,"\" t\"LE in state (%d)\" w l lt %d, \\\n",i-1,i+1);
1.261     brouard  7346:          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  7347:          for (j=1; j<= nlstate+1 ; j ++) {
                   7348:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7349:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7350:          }   
                   7351:          fprintf(ficgp,"\" t\"\" w l lt 0,");
1.261     brouard  7352:          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  7353:          for (j=1; j<= nlstate+1 ; j ++) {
                   7354:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7355:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7356:          }   
                   7357:          if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   7358:          else fprintf(ficgp,"\" t\"\" w l lt 0,\\\n");
                   7359:        } /* state */
                   7360:       } /* vpopbased */
1.264     brouard  7361:       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  7362:     } /* end nres */
                   7363:   } /* k1 end 2 eme*/
                   7364:        
                   7365:        
                   7366:   /*3eme*/
                   7367:   for (k1=1; k1<= m ; k1 ++){
                   7368:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7369:       if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7370:        continue;
                   7371: 
                   7372:       for (cpt=1; cpt<= nlstate ; cpt ++) {
1.261     brouard  7373:        fprintf(ficgp,"\n\n# 3d: Life expectancy with EXP_ files:  combination=%d state=%d",k1, cpt);
1.264     brouard  7374:        strcpy(gplotlabel,"(");
1.238     brouard  7375:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7376:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7377:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7378:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7379:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7380:          vlv= nbcode[Tvaraff[k]][lv];
                   7381:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7382:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7383:        }
                   7384:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7385:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7386:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7387:        }       
1.264     brouard  7388:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7389:        fprintf(ficgp,"\n#\n");
                   7390:        if(invalidvarcomb[k1]){
                   7391:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7392:          continue;
                   7393:        }
                   7394:                        
                   7395:        /*       k=2+nlstate*(2*cpt-2); */
                   7396:        k=2+(nlstate+1)*(cpt-1);
1.241     brouard  7397:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres);
1.264     brouard  7398:        fprintf(ficgp,"set label \"%s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",gplotlabel);
1.238     brouard  7399:        fprintf(ficgp,"set ter svg size 640, 480\n\
1.261     brouard  7400: 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  7401:        /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   7402:          for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   7403:          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   7404:          fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   7405:          for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   7406:          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
1.219     brouard  7407:                                
1.238     brouard  7408:        */
                   7409:        for (i=1; i< nlstate ; i ++) {
1.261     brouard  7410:          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  7411:          /*    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  7412:                                
1.238     brouard  7413:        } 
1.261     brouard  7414:        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  7415:       }
1.264     brouard  7416:       fprintf(ficgp,"\nunset label;\n");
1.238     brouard  7417:     } /* end nres */
                   7418:   } /* end kl 3eme */
1.126     brouard  7419:   
1.223     brouard  7420:   /* 4eme */
1.201     brouard  7421:   /* Survival functions (period) from state i in state j by initial state i */
1.238     brouard  7422:   for (k1=1; k1<=m; k1++){    /* For each covariate and each value */
                   7423:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7424:       if(m != 1 && TKresult[nres]!= k1)
1.223     brouard  7425:        continue;
1.238     brouard  7426:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state cpt*/
1.264     brouard  7427:        strcpy(gplotlabel,"(");
1.238     brouard  7428:        fprintf(ficgp,"\n#\n#\n# Survival functions in state j : 'LIJ_' files, cov=%d state=%d",k1, cpt);
                   7429:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7430:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7431:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7432:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7433:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7434:          vlv= nbcode[Tvaraff[k]][lv];
                   7435:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7436:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7437:        }
                   7438:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7439:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7440:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7441:        }       
1.264     brouard  7442:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7443:        fprintf(ficgp,"\n#\n");
                   7444:        if(invalidvarcomb[k1]){
                   7445:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7446:          continue;
1.223     brouard  7447:        }
1.238     brouard  7448:       
1.241     brouard  7449:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres);
1.264     brouard  7450:        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  7451:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   7452: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7453:        k=3;
                   7454:        for (i=1; i<= nlstate ; i ++){
                   7455:          if(i==1){
                   7456:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7457:          }else{
                   7458:            fprintf(ficgp,", '' ");
                   7459:          }
                   7460:          l=(nlstate+ndeath)*(i-1)+1;
                   7461:          fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   7462:          for (j=2; j<= nlstate+ndeath ; j ++)
                   7463:            fprintf(ficgp,"+$%d",k+l+j-1);
                   7464:          fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
                   7465:        } /* nlstate */
1.264     brouard  7466:        fprintf(ficgp,"\nset out; unset label;\n");
1.238     brouard  7467:       } /* end cpt state*/ 
                   7468:     } /* end nres */
                   7469:   } /* end covariate k1 */  
                   7470: 
1.220     brouard  7471: /* 5eme */
1.201     brouard  7472:   /* Survival functions (period) from state i in state j by final state j */
1.238     brouard  7473:   for (k1=1; k1<= m ; k1++){ /* For each covariate combination if any */
                   7474:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7475:       if(m != 1 && TKresult[nres]!= k1)
1.227     brouard  7476:        continue;
1.238     brouard  7477:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each inital state  */
1.264     brouard  7478:        strcpy(gplotlabel,"(");
1.238     brouard  7479:        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);
                   7480:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7481:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7482:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7483:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7484:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7485:          vlv= nbcode[Tvaraff[k]][lv];
                   7486:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7487:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7488:        }
                   7489:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7490:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7491:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7492:        }       
1.264     brouard  7493:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7494:        fprintf(ficgp,"\n#\n");
                   7495:        if(invalidvarcomb[k1]){
                   7496:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7497:          continue;
                   7498:        }
1.227     brouard  7499:       
1.241     brouard  7500:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres);
1.264     brouard  7501:        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  7502:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   7503: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7504:        k=3;
                   7505:        for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   7506:          if(j==1)
                   7507:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7508:          else
                   7509:            fprintf(ficgp,", '' ");
                   7510:          l=(nlstate+ndeath)*(cpt-1) +j;
                   7511:          fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):($%d",k1,k+l);
                   7512:          /* for (i=2; i<= nlstate+ndeath ; i ++) */
                   7513:          /*   fprintf(ficgp,"+$%d",k+l+i-1); */
                   7514:          fprintf(ficgp,") t \"l(%d,%d)\" w l",cpt,j);
                   7515:        } /* nlstate */
                   7516:        fprintf(ficgp,", '' ");
                   7517:        fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):(",k1);
                   7518:        for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   7519:          l=(nlstate+ndeath)*(cpt-1) +j;
                   7520:          if(j < nlstate)
                   7521:            fprintf(ficgp,"$%d +",k+l);
                   7522:          else
                   7523:            fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
                   7524:        }
1.264     brouard  7525:        fprintf(ficgp,"\nset out; unset label;\n");
1.238     brouard  7526:       } /* end cpt state*/ 
                   7527:     } /* end covariate */  
                   7528:   } /* end nres */
1.227     brouard  7529:   
1.220     brouard  7530: /* 6eme */
1.202     brouard  7531:   /* CV preval stable (period) for each covariate */
1.237     brouard  7532:   for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7533:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7534:     if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7535:       continue;
1.255     brouard  7536:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state of arrival */
1.264     brouard  7537:       strcpy(gplotlabel,"(");      
1.288     brouard  7538:       fprintf(ficgp,"\n#\n#\n#CV preval stable (forward): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
1.225     brouard  7539:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.227     brouard  7540:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7541:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7542:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7543:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7544:        vlv= nbcode[Tvaraff[k]][lv];
                   7545:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7546:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  7547:       }
1.237     brouard  7548:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7549:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7550:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7551:       }        
1.264     brouard  7552:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.211     brouard  7553:       fprintf(ficgp,"\n#\n");
1.223     brouard  7554:       if(invalidvarcomb[k1]){
1.227     brouard  7555:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7556:        continue;
1.223     brouard  7557:       }
1.227     brouard  7558:       
1.241     brouard  7559:       fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"P_"),cpt,k1,nres);
1.264     brouard  7560:       fprintf(ficgp,"set label \"Alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
1.126     brouard  7561:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.238     brouard  7562: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  7563:       k=3; /* Offset */
1.255     brouard  7564:       for (i=1; i<= nlstate ; i ++){ /* State of origin */
1.227     brouard  7565:        if(i==1)
                   7566:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7567:        else
                   7568:          fprintf(ficgp,", '' ");
1.255     brouard  7569:        l=(nlstate+ndeath)*(i-1)+1; /* 1, 1+ nlstate+ndeath, 1+2*(nlstate+ndeath) */
1.227     brouard  7570:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   7571:        for (j=2; j<= nlstate ; j ++)
                   7572:          fprintf(ficgp,"+$%d",k+l+j-1);
                   7573:        fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
1.153     brouard  7574:       } /* nlstate */
1.264     brouard  7575:       fprintf(ficgp,"\nset out; unset label;\n");
1.153     brouard  7576:     } /* end cpt state*/ 
                   7577:   } /* end covariate */  
1.227     brouard  7578:   
                   7579:   
1.220     brouard  7580: /* 7eme */
1.296   ! brouard  7581:   if(prevbcast == 1){
1.288     brouard  7582:     /* CV backward prevalence  for each covariate */
1.237     brouard  7583:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7584:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7585:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7586:        continue;
1.268     brouard  7587:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life origin state */
1.264     brouard  7588:        strcpy(gplotlabel,"(");      
1.288     brouard  7589:        fprintf(ficgp,"\n#\n#\n#CV Backward stable prevalence: 'pijb' files, covariatecombination#=%d state=%d",k1, cpt);
1.227     brouard  7590:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7591:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7592:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7593:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
1.223     brouard  7594:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
1.227     brouard  7595:          vlv= nbcode[Tvaraff[k]][lv];
                   7596:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7597:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.227     brouard  7598:        }
1.237     brouard  7599:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7600:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7601:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7602:        }       
1.264     brouard  7603:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.227     brouard  7604:        fprintf(ficgp,"\n#\n");
                   7605:        if(invalidvarcomb[k1]){
                   7606:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7607:          continue;
                   7608:        }
                   7609:        
1.241     brouard  7610:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PB_"),cpt,k1,nres);
1.268     brouard  7611:        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  7612:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.238     brouard  7613: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.227     brouard  7614:        k=3; /* Offset */
1.268     brouard  7615:        for (i=1; i<= nlstate ; i ++){ /* State of arrival */
1.227     brouard  7616:          if(i==1)
                   7617:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJB_"));
                   7618:          else
                   7619:            fprintf(ficgp,", '' ");
                   7620:          /* l=(nlstate+ndeath)*(i-1)+1; */
1.255     brouard  7621:          l=(nlstate+ndeath)*(cpt-1)+1; /* fixed for i; cpt=1 1, cpt=2 1+ nlstate+ndeath, 1+2*(nlstate+ndeath) */
1.227     brouard  7622:          /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l); /\* a vérifier *\/ */
                   7623:          /* 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  7624:          fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d",k1,k+l+i-1); /* To be verified */
1.227     brouard  7625:          /* for (j=2; j<= nlstate ; j ++) */
                   7626:          /*    fprintf(ficgp,"+$%d",k+l+j-1); */
                   7627:          /*    /\* fprintf(ficgp,"+$%d",k+l+j-1); *\/ */
1.268     brouard  7628:          fprintf(ficgp,") t \"bprev(%d,%d)\" w l",cpt,i);
1.227     brouard  7629:        } /* nlstate */
1.264     brouard  7630:        fprintf(ficgp,"\nset out; unset label;\n");
1.218     brouard  7631:       } /* end cpt state*/ 
                   7632:     } /* end covariate */  
1.296   ! brouard  7633:   } /* End if prevbcast */
1.218     brouard  7634:   
1.223     brouard  7635:   /* 8eme */
1.218     brouard  7636:   if(prevfcast==1){
1.288     brouard  7637:     /* Projection from cross-sectional to forward stable (period) prevalence for each covariate */
1.218     brouard  7638:     
1.237     brouard  7639:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7640:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7641:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7642:        continue;
1.211     brouard  7643:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.264     brouard  7644:        strcpy(gplotlabel,"(");      
1.288     brouard  7645:        fprintf(ficgp,"\n#\n#\n#Projection of prevalence to forward stable prevalence (period): 'PROJ_' files, covariatecombination#=%d state=%d",k1, cpt);
1.227     brouard  7646:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   7647:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7648:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7649:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7650:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7651:          vlv= nbcode[Tvaraff[k]][lv];
                   7652:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7653:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.227     brouard  7654:        }
1.237     brouard  7655:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7656:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7657:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7658:        }       
1.264     brouard  7659:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.227     brouard  7660:        fprintf(ficgp,"\n#\n");
                   7661:        if(invalidvarcomb[k1]){
                   7662:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7663:          continue;
                   7664:        }
                   7665:        
                   7666:        fprintf(ficgp,"# hpijx=probability over h years, hp.jx is weighted by observed prev\n ");
1.241     brouard  7667:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres);
1.264     brouard  7668:        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  7669:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
1.238     brouard  7670: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.266     brouard  7671: 
                   7672:        /* for (i=1; i<= nlstate+1 ; i ++){  /\* nlstate +1 p11 p21 p.1 *\/ */
                   7673:        istart=nlstate+1; /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7674:        /*istart=1;*/ /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7675:        for (i=istart; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
1.227     brouard  7676:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7677:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   7678:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7679:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
1.266     brouard  7680:          if(i==istart){
1.227     brouard  7681:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"F_"));
                   7682:          }else{
                   7683:            fprintf(ficgp,",\\\n '' ");
                   7684:          }
                   7685:          if(cptcoveff ==0){ /* No covariate */
                   7686:            ioffset=2; /* Age is in 2 */
                   7687:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7688:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7689:            /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7690:            /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7691:            fprintf(ficgp," u %d:(", ioffset); 
1.266     brouard  7692:            if(i==nlstate+1){
1.270     brouard  7693:              fprintf(ficgp," $%d/(1.-$%d)):1 t 'pw.%d' with line lc variable ",        \
1.266     brouard  7694:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   7695:              fprintf(ficgp,",\\\n '' ");
                   7696:              fprintf(ficgp," u %d:(",ioffset); 
1.270     brouard  7697:              fprintf(ficgp," (($1-$2) == %d ) ? $%d/(1.-$%d) : 1/0):1 with labels center not ", \
1.266     brouard  7698:                     offyear,                           \
1.268     brouard  7699:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate );
1.266     brouard  7700:            }else
1.227     brouard  7701:              fprintf(ficgp," $%d/(1.-$%d)) t 'p%d%d' with line ",      \
                   7702:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   7703:          }else{ /* more than 2 covariates */
1.270     brouard  7704:            ioffset=2*cptcoveff+2; /* Age is in 4 or 6 or etc.*/
                   7705:            /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7706:            /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
                   7707:            iyearc=ioffset-1;
                   7708:            iagec=ioffset;
1.227     brouard  7709:            fprintf(ficgp," u %d:(",ioffset); 
                   7710:            kl=0;
                   7711:            strcpy(gplotcondition,"(");
                   7712:            for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                   7713:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
                   7714:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7715:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7716:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7717:              vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   7718:              kl++;
                   7719:              sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                   7720:              kl++;
                   7721:              if(k <cptcoveff && cptcoveff>1)
                   7722:                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   7723:            }
                   7724:            strcpy(gplotcondition+strlen(gplotcondition),")");
                   7725:            /* 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 *\/ */
                   7726:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7727:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7728:            /* ''  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*/
                   7729:            if(i==nlstate+1){
1.270     brouard  7730:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0):%d t 'p.%d' with line lc variable", gplotcondition, \
                   7731:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,iyearc, cpt );
1.266     brouard  7732:              fprintf(ficgp,",\\\n '' ");
1.270     brouard  7733:              fprintf(ficgp," u %d:(",iagec); 
                   7734:              fprintf(ficgp,"%s && (($%d-$%d) == %d ) ? $%d/(1.-$%d) : 1/0):%d with labels center not ", gplotcondition, \
                   7735:                      iyearc, iagec, offyear,                           \
                   7736:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate, iyearc );
1.266     brouard  7737: /*  '' 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  7738:            }else{
                   7739:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \
                   7740:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), ioffset +1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   7741:            }
                   7742:          } /* end if covariate */
                   7743:        } /* nlstate */
1.264     brouard  7744:        fprintf(ficgp,"\nset out; unset label;\n");
1.223     brouard  7745:       } /* end cpt state*/
                   7746:     } /* end covariate */
                   7747:   } /* End if prevfcast */
1.227     brouard  7748:   
1.296   ! brouard  7749:   if(prevbcast==1){
1.268     brouard  7750:     /* Back projection from cross-sectional to stable (mixed) for each covariate */
                   7751:     
                   7752:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7753:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   7754:       if(m != 1 && TKresult[nres]!= k1)
                   7755:        continue;
                   7756:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
                   7757:        strcpy(gplotlabel,"(");      
                   7758:        fprintf(ficgp,"\n#\n#\n#Back projection of prevalence to stable (mixed) back prevalence: 'BPROJ_' files, covariatecombination#=%d originstate=%d",k1, cpt);
                   7759:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   7760:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7761:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7762:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7763:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7764:          vlv= nbcode[Tvaraff[k]][lv];
                   7765:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   7766:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
                   7767:        }
                   7768:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7769:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7770:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7771:        }       
                   7772:        strcpy(gplotlabel+strlen(gplotlabel),")");
                   7773:        fprintf(ficgp,"\n#\n");
                   7774:        if(invalidvarcomb[k1]){
                   7775:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7776:          continue;
                   7777:        }
                   7778:        
                   7779:        fprintf(ficgp,"# hbijx=backprobability over h years, hb.jx is weighted by observed prev at destination state\n ");
                   7780:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres);
                   7781:        fprintf(ficgp,"set label \"Origin alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
                   7782:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
                   7783: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7784: 
                   7785:        /* for (i=1; i<= nlstate+1 ; i ++){  /\* nlstate +1 p11 p21 p.1 *\/ */
                   7786:        istart=nlstate+1; /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7787:        /*istart=1;*/ /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7788:        for (i=istart; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
                   7789:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7790:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   7791:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7792:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   7793:          if(i==istart){
                   7794:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"FB_"));
                   7795:          }else{
                   7796:            fprintf(ficgp,",\\\n '' ");
                   7797:          }
                   7798:          if(cptcoveff ==0){ /* No covariate */
                   7799:            ioffset=2; /* Age is in 2 */
                   7800:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7801:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7802:            /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7803:            /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7804:            fprintf(ficgp," u %d:(", ioffset); 
                   7805:            if(i==nlstate+1){
1.270     brouard  7806:              fprintf(ficgp," $%d/(1.-$%d)):1 t 'bw%d' with line lc variable ", \
1.268     brouard  7807:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   7808:              fprintf(ficgp,",\\\n '' ");
                   7809:              fprintf(ficgp," u %d:(",ioffset); 
1.270     brouard  7810:              fprintf(ficgp," (($1-$2) == %d ) ? $%d : 1/0):1 with labels center not ", \
1.268     brouard  7811:                     offbyear,                          \
                   7812:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1) );
                   7813:            }else
                   7814:              fprintf(ficgp," $%d/(1.-$%d)) t 'b%d%d' with line ",      \
                   7815:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt,i );
                   7816:          }else{ /* more than 2 covariates */
1.270     brouard  7817:            ioffset=2*cptcoveff+2; /* Age is in 4 or 6 or etc.*/
                   7818:            /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7819:            /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
                   7820:            iyearc=ioffset-1;
                   7821:            iagec=ioffset;
1.268     brouard  7822:            fprintf(ficgp," u %d:(",ioffset); 
                   7823:            kl=0;
                   7824:            strcpy(gplotcondition,"(");
                   7825:            for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                   7826:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
                   7827:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7828:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7829:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7830:              vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   7831:              kl++;
                   7832:              sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                   7833:              kl++;
                   7834:              if(k <cptcoveff && cptcoveff>1)
                   7835:                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   7836:            }
                   7837:            strcpy(gplotcondition+strlen(gplotcondition),")");
                   7838:            /* 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 *\/ */
                   7839:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7840:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7841:            /* ''  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*/
                   7842:            if(i==nlstate+1){
1.270     brouard  7843:              fprintf(ficgp,"%s ? $%d : 1/0):%d t 'bw%d' with line lc variable", gplotcondition, \
                   7844:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),iyearc,cpt );
1.268     brouard  7845:              fprintf(ficgp,",\\\n '' ");
1.270     brouard  7846:              fprintf(ficgp," u %d:(",iagec); 
1.268     brouard  7847:              /* fprintf(ficgp,"%s && (($5-$6) == %d ) ? $%d/(1.-$%d) : 1/0):5 with labels center not ", gplotcondition, \ */
1.270     brouard  7848:              fprintf(ficgp,"%s && (($%d-$%d) == %d ) ? $%d : 1/0):%d with labels center not ", gplotcondition, \
                   7849:                      iyearc,iagec,offbyear,                            \
                   7850:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), iyearc );
1.268     brouard  7851: /*  '' u 6:(($1==1 && $2==0  && $3==2 && $4==0) && (($5-$6) == 1947) ? $10/(1.-$22) : 1/0):5 with labels center boxed not*/
                   7852:            }else{
                   7853:              /* fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \ */
                   7854:              fprintf(ficgp,"%s ? $%d : 1/0) t 'b%d%d' with line ", gplotcondition, \
                   7855:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), cpt,i );
                   7856:            }
                   7857:          } /* end if covariate */
                   7858:        } /* nlstate */
                   7859:        fprintf(ficgp,"\nset out; unset label;\n");
                   7860:       } /* end cpt state*/
                   7861:     } /* end covariate */
1.296   ! brouard  7862:   } /* End if prevbcast */
1.268     brouard  7863:   
1.227     brouard  7864:   
1.238     brouard  7865:   /* 9eme writing MLE parameters */
                   7866:   fprintf(ficgp,"\n##############\n#9eme MLE estimated parameters\n#############\n");
1.126     brouard  7867:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  7868:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  7869:     for(k=1; k <=(nlstate+ndeath); k++){
                   7870:       if (k != i) {
1.227     brouard  7871:        fprintf(ficgp,"#   current state %d\n",k);
                   7872:        for(j=1; j <=ncovmodel; j++){
                   7873:          fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
                   7874:          jk++; 
                   7875:        }
                   7876:        fprintf(ficgp,"\n");
1.126     brouard  7877:       }
                   7878:     }
1.223     brouard  7879:   }
1.187     brouard  7880:   fprintf(ficgp,"##############\n#\n");
1.227     brouard  7881:   
1.145     brouard  7882:   /*goto avoid;*/
1.238     brouard  7883:   /* 10eme Graphics of probabilities or incidences using written MLE parameters */
                   7884:   fprintf(ficgp,"\n##############\n#10eme Graphics of probabilities or incidences\n#############\n");
1.187     brouard  7885:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   7886:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   7887:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   7888:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   7889:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   7890:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   7891:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   7892:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   7893:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   7894:   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   7895:   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
                   7896:   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   7897:   fprintf(ficgp,"#\n");
1.223     brouard  7898:   for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
1.238     brouard  7899:     fprintf(ficgp,"#Number of graphics: first is logit, 2nd is probabilities, third is incidences per year\n");
1.237     brouard  7900:     fprintf(ficgp,"#model=%s \n",model);
1.238     brouard  7901:     fprintf(ficgp,"# Type of graphic ng=%d\n",ng);
1.264     brouard  7902:     fprintf(ficgp,"#   k1=1 to 2^%d=%d\n",cptcoveff,m);/* to be checked */
                   7903:     for(k1=1; k1 <=m; k1++)  /* For each combination of covariate */
1.237     brouard  7904:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.264     brouard  7905:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7906:        continue;
1.264     brouard  7907:       fprintf(ficgp,"\n\n# Combination of dummy  k1=%d which is ",k1);
                   7908:       strcpy(gplotlabel,"(");
1.276     brouard  7909:       /*sprintf(gplotlabel+strlen(gplotlabel)," Dummy combination %d ",k1);*/
1.264     brouard  7910:       for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   7911:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7912:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7913:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7914:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7915:        vlv= nbcode[Tvaraff[k]][lv];
                   7916:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   7917:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
                   7918:       }
1.237     brouard  7919:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7920:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7921:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7922:       }        
1.264     brouard  7923:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.237     brouard  7924:       fprintf(ficgp,"\n#\n");
1.264     brouard  7925:       fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),k1,ng,nres);
1.276     brouard  7926:       fprintf(ficgp,"\nset key outside ");
                   7927:       /* fprintf(ficgp,"\nset label \"%s\" at graph 1.2,0.5 center rotate font \"Helvetica,12\"\n",gplotlabel); */
                   7928:       fprintf(ficgp,"\nset title \"%s\" font \"Helvetica,12\"\n",gplotlabel);
1.223     brouard  7929:       fprintf(ficgp,"\nset ter svg size 640, 480 ");
                   7930:       if (ng==1){
                   7931:        fprintf(ficgp,"\nset ylabel \"Value of the logit of the model\"\n"); /* exp(a12+b12*x) could be nice */
                   7932:        fprintf(ficgp,"\nunset log y");
                   7933:       }else if (ng==2){
                   7934:        fprintf(ficgp,"\nset ylabel \"Probability\"\n");
                   7935:        fprintf(ficgp,"\nset log y");
                   7936:       }else if (ng==3){
                   7937:        fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
                   7938:        fprintf(ficgp,"\nset log y");
                   7939:       }else
                   7940:        fprintf(ficgp,"\nunset title ");
                   7941:       fprintf(ficgp,"\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
                   7942:       i=1;
                   7943:       for(k2=1; k2<=nlstate; k2++) {
                   7944:        k3=i;
                   7945:        for(k=1; k<=(nlstate+ndeath); k++) {
                   7946:          if (k != k2){
                   7947:            switch( ng) {
                   7948:            case 1:
                   7949:              if(nagesqr==0)
                   7950:                fprintf(ficgp," p%d+p%d*x",i,i+1);
                   7951:              else /* nagesqr =1 */
                   7952:                fprintf(ficgp," p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   7953:              break;
                   7954:            case 2: /* ng=2 */
                   7955:              if(nagesqr==0)
                   7956:                fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   7957:              else /* nagesqr =1 */
                   7958:                fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   7959:              break;
                   7960:            case 3:
                   7961:              if(nagesqr==0)
                   7962:                fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   7963:              else /* nagesqr =1 */
                   7964:                fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                   7965:              break;
                   7966:            }
                   7967:            ij=1;/* To be checked else nbcode[0][0] wrong */
1.237     brouard  7968:            ijp=1; /* product no age */
                   7969:            /* for(j=3; j <=ncovmodel-nagesqr; j++) { */
                   7970:            for(j=1; j <=cptcovt; j++) { /* For each covariate of the simplified model */
1.223     brouard  7971:              /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
1.268     brouard  7972:              if(cptcovage >0){ /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
                   7973:                if(j==Tage[ij]) { /* Product by age  To be looked at!!*/
                   7974:                  if(ij <=cptcovage) { /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
                   7975:                    if(DummyV[j]==0){
                   7976:                      fprintf(ficgp,"+p%d*%d*x",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]);;
                   7977:                    }else{ /* quantitative */
                   7978:                      fprintf(ficgp,"+p%d*%f*x",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /* Tqinvresult in decoderesult */
                   7979:                      /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
                   7980:                    }
                   7981:                    ij++;
1.237     brouard  7982:                  }
1.268     brouard  7983:                } 
                   7984:              }else if(cptcovprod >0){
                   7985:                if(j==Tprod[ijp]) { /* */ 
                   7986:                  /* printf("Tprod[%d]=%d, j=%d\n", ij, Tprod[ijp], j); */
                   7987:                  if(ijp <=cptcovprod) { /* Product */
                   7988:                    if(DummyV[Tvard[ijp][1]]==0){/* Vn is dummy */
                   7989:                      if(DummyV[Tvard[ijp][2]]==0){/* Vn and Vm are dummy */
                   7990:                        /* 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)]); */
                   7991:                        fprintf(ficgp,"+p%d*%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tinvresult[nres][Tvard[ijp][2]]);
                   7992:                      }else{ /* Vn is dummy and Vm is quanti */
                   7993:                        /* fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,nbcode[Tvard[ijp][1]][codtabm(k1,j)],Tqinvresult[nres][Tvard[ijp][2]]); */
                   7994:                        fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
                   7995:                      }
                   7996:                    }else{ /* Vn*Vm Vn is quanti */
                   7997:                      if(DummyV[Tvard[ijp][2]]==0){
                   7998:                        fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][2]],Tqinvresult[nres][Tvard[ijp][1]]);
                   7999:                      }else{ /* Both quanti */
                   8000:                        fprintf(ficgp,"+p%d*%f*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
                   8001:                      }
1.237     brouard  8002:                    }
1.268     brouard  8003:                    ijp++;
1.237     brouard  8004:                  }
1.268     brouard  8005:                } /* end Tprod */
1.237     brouard  8006:              } else{  /* simple covariate */
1.264     brouard  8007:                /* fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,nbcode[Tvar[j]][codtabm(k1,j)]); /\* Valgrind bug nbcode *\/ */
1.237     brouard  8008:                if(Dummy[j]==0){
                   8009:                  fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]); /*  */
                   8010:                }else{ /* quantitative */
                   8011:                  fprintf(ficgp,"+p%d*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /* */
1.264     brouard  8012:                  /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
1.223     brouard  8013:                }
1.237     brouard  8014:              } /* end simple */
                   8015:            } /* end j */
1.223     brouard  8016:          }else{
                   8017:            i=i-ncovmodel;
                   8018:            if(ng !=1 ) /* For logit formula of log p11 is more difficult to get */
                   8019:              fprintf(ficgp," (1.");
                   8020:          }
1.227     brouard  8021:          
1.223     brouard  8022:          if(ng != 1){
                   8023:            fprintf(ficgp,")/(1");
1.227     brouard  8024:            
1.264     brouard  8025:            for(cpt=1; cpt <=nlstate; cpt++){ 
1.223     brouard  8026:              if(nagesqr==0)
1.264     brouard  8027:                fprintf(ficgp,"+exp(p%d+p%d*x",k3+(cpt-1)*ncovmodel,k3+(cpt-1)*ncovmodel+1);
1.223     brouard  8028:              else /* nagesqr =1 */
1.264     brouard  8029:                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  8030:               
1.223     brouard  8031:              ij=1;
                   8032:              for(j=3; j <=ncovmodel-nagesqr; j++){
1.268     brouard  8033:                 if(cptcovage >0){ 
                   8034:                   if((j-2)==Tage[ij]) { /* Bug valgrind */
                   8035:                     if(ij <=cptcovage) { /* Bug valgrind */
                   8036:                       fprintf(ficgp,"+p%d*%d*x",k3+(cpt-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(k1,j-2)]);
                   8037:                       /* fprintf(ficgp,"+p%d*%d*x",k3+(cpt-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
                   8038:                       ij++;
                   8039:                     }
                   8040:                   }
                   8041:                 }else
                   8042:                   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  8043:              }
                   8044:              fprintf(ficgp,")");
                   8045:            }
                   8046:            fprintf(ficgp,")");
                   8047:            if(ng ==2)
1.276     brouard  8048:              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  8049:            else /* ng= 3 */
1.276     brouard  8050:              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  8051:          }else{ /* end ng <> 1 */
                   8052:            if( k !=k2) /* logit p11 is hard to draw */
1.276     brouard  8053:              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  8054:          }
                   8055:          if ((k+k2)!= (nlstate*2+ndeath) && ng != 1)
                   8056:            fprintf(ficgp,",");
                   8057:          if (ng == 1 && k!=k2 && (k+k2)!= (nlstate*2+ndeath))
                   8058:            fprintf(ficgp,",");
                   8059:          i=i+ncovmodel;
                   8060:        } /* end k */
                   8061:       } /* end k2 */
1.276     brouard  8062:       /* fprintf(ficgp,"\n set out; unset label;set key default;\n"); */
                   8063:       fprintf(ficgp,"\n set out; unset title;set key default;\n");
1.264     brouard  8064:     } /* end k1 */
1.223     brouard  8065:   } /* end ng */
                   8066:   /* avoid: */
                   8067:   fflush(ficgp); 
1.126     brouard  8068: }  /* end gnuplot */
                   8069: 
                   8070: 
                   8071: /*************** Moving average **************/
1.219     brouard  8072: /* int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav, double bageout, double fageout){ */
1.222     brouard  8073:  int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav){
1.218     brouard  8074:    
1.222     brouard  8075:    int i, cpt, cptcod;
                   8076:    int modcovmax =1;
                   8077:    int mobilavrange, mob;
                   8078:    int iage=0;
1.288     brouard  8079:    int firstA1=0, firstA2=0;
1.222     brouard  8080: 
1.266     brouard  8081:    double sum=0., sumr=0.;
1.222     brouard  8082:    double age;
1.266     brouard  8083:    double *sumnewp, *sumnewm, *sumnewmr;
                   8084:    double *agemingood, *agemaxgood; 
                   8085:    double *agemingoodr, *agemaxgoodr; 
1.222     brouard  8086:   
                   8087:   
1.278     brouard  8088:    /* modcovmax=2*cptcoveff;  Max number of modalities. We suppose  */
                   8089:    /*             a covariate has 2 modalities, should be equal to ncovcombmax   */
1.222     brouard  8090: 
                   8091:    sumnewp = vector(1,ncovcombmax);
                   8092:    sumnewm = vector(1,ncovcombmax);
1.266     brouard  8093:    sumnewmr = vector(1,ncovcombmax);
1.222     brouard  8094:    agemingood = vector(1,ncovcombmax); 
1.266     brouard  8095:    agemingoodr = vector(1,ncovcombmax);        
1.222     brouard  8096:    agemaxgood = vector(1,ncovcombmax);
1.266     brouard  8097:    agemaxgoodr = vector(1,ncovcombmax);
1.222     brouard  8098: 
                   8099:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
1.266     brouard  8100:      sumnewm[cptcod]=0.; sumnewmr[cptcod]=0.;
1.222     brouard  8101:      sumnewp[cptcod]=0.;
1.266     brouard  8102:      agemingood[cptcod]=0, agemingoodr[cptcod]=0;
                   8103:      agemaxgood[cptcod]=0, agemaxgoodr[cptcod]=0;
1.222     brouard  8104:    }
                   8105:    if (cptcovn<1) ncovcombmax=1; /* At least 1 pass */
                   8106:   
1.266     brouard  8107:    if(mobilav==-1 || mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   8108:      if(mobilav==1 || mobilav==-1) mobilavrange=5; /* default */
1.222     brouard  8109:      else mobilavrange=mobilav;
                   8110:      for (age=bage; age<=fage; age++)
                   8111:        for (i=1; i<=nlstate;i++)
                   8112:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++)
                   8113:           mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8114:      /* We keep the original values on the extreme ages bage, fage and for 
                   8115:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   8116:        we use a 5 terms etc. until the borders are no more concerned. 
                   8117:      */ 
                   8118:      for (mob=3;mob <=mobilavrange;mob=mob+2){
                   8119:        for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
1.266     brouard  8120:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   8121:           sumnewm[cptcod]=0.;
                   8122:           for (i=1; i<=nlstate;i++){
1.222     brouard  8123:             mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                   8124:             for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   8125:               mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   8126:               mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                   8127:             }
                   8128:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
1.266     brouard  8129:             sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8130:           } /* end i */
                   8131:           if(sumnewm[cptcod] >1.e-3) mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/sumnewm[cptcod]; /* Rescaling to sum one */
                   8132:         } /* end cptcod */
1.222     brouard  8133:        }/* end age */
                   8134:      }/* end mob */
1.266     brouard  8135:    }else{
                   8136:      printf("Error internal in movingaverage, mobilav=%d.\n",mobilav);
1.222     brouard  8137:      return -1;
1.266     brouard  8138:    }
                   8139: 
                   8140:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){ /* for each combination */
1.222     brouard  8141:      /* for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ */
                   8142:      if(invalidvarcomb[cptcod]){
                   8143:        printf("\nCombination (%d) ignored because no cases \n",cptcod); 
                   8144:        continue;
                   8145:      }
1.219     brouard  8146: 
1.266     brouard  8147:      for (age=fage-(mob-1)/2; age>=bage+(mob-1)/2; age--){ /*looking for the youngest and oldest good age */
                   8148:        sumnewm[cptcod]=0.;
                   8149:        sumnewmr[cptcod]=0.;
                   8150:        for (i=1; i<=nlstate;i++){
                   8151:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8152:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8153:        }
                   8154:        if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8155:         agemingoodr[cptcod]=age;
                   8156:        }
                   8157:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8158:           agemingood[cptcod]=age;
                   8159:        }
                   8160:      } /* age */
                   8161:      for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ /*looking for the youngest and oldest good age */
1.222     brouard  8162:        sumnewm[cptcod]=0.;
1.266     brouard  8163:        sumnewmr[cptcod]=0.;
1.222     brouard  8164:        for (i=1; i<=nlstate;i++){
                   8165:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
1.266     brouard  8166:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8167:        }
                   8168:        if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8169:         agemaxgoodr[cptcod]=age;
1.222     brouard  8170:        }
                   8171:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
1.266     brouard  8172:         agemaxgood[cptcod]=age;
                   8173:        }
                   8174:      } /* age */
                   8175:      /* Thus we have agemingood and agemaxgood as well as goodr for raw (preobs) */
                   8176:      /* but they will change */
1.288     brouard  8177:      firstA1=0;firstA2=0;
1.266     brouard  8178:      for (age=fage-(mob-1)/2; age>=bage; age--){/* From oldest to youngest, filling up to the youngest */
                   8179:        sumnewm[cptcod]=0.;
                   8180:        sumnewmr[cptcod]=0.;
                   8181:        for (i=1; i<=nlstate;i++){
                   8182:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8183:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8184:        }
                   8185:        if(mobilav==-1){ /* Forcing raw ages if good else agemingood */
                   8186:         if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8187:           agemaxgoodr[cptcod]=age;  /* age min */
                   8188:           for (i=1; i<=nlstate;i++)
                   8189:             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8190:         }else{ /* bad we change the value with the values of good ages */
                   8191:           for (i=1; i<=nlstate;i++){
                   8192:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgoodr[cptcod]][i][cptcod];
                   8193:           } /* i */
                   8194:         } /* end bad */
                   8195:        }else{
                   8196:         if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8197:           agemaxgood[cptcod]=age;
                   8198:         }else{ /* bad we change the value with the values of good ages */
                   8199:           for (i=1; i<=nlstate;i++){
                   8200:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   8201:           } /* i */
                   8202:         } /* end bad */
                   8203:        }/* end else */
                   8204:        sum=0.;sumr=0.;
                   8205:        for (i=1; i<=nlstate;i++){
                   8206:         sum+=mobaverage[(int)age][i][cptcod];
                   8207:         sumr+=probs[(int)age][i][cptcod];
                   8208:        }
                   8209:        if(fabs(sum - 1.) > 1.e-3) { /* bad */
1.288     brouard  8210:         if(!firstA1){
                   8211:           firstA1=1;
                   8212:           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);
                   8213:         }
                   8214:         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  8215:        } /* end bad */
                   8216:        /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   8217:        if(fabs(sumr - 1.) > 1.e-3) { /* bad */
1.288     brouard  8218:         if(!firstA2){
                   8219:           firstA2=1;
                   8220:           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);
                   8221:         }
                   8222:         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  8223:        } /* end bad */
                   8224:      }/* age */
1.266     brouard  8225: 
                   8226:      for (age=bage+(mob-1)/2; age<=fage; age++){/* From youngest, finding the oldest wrong */
1.222     brouard  8227:        sumnewm[cptcod]=0.;
1.266     brouard  8228:        sumnewmr[cptcod]=0.;
1.222     brouard  8229:        for (i=1; i<=nlstate;i++){
                   8230:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
1.266     brouard  8231:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8232:        } 
                   8233:        if(mobilav==-1){ /* Forcing raw ages if good else agemingood */
                   8234:         if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good */
                   8235:           agemingoodr[cptcod]=age;
                   8236:           for (i=1; i<=nlstate;i++)
                   8237:             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8238:         }else{ /* bad we change the value with the values of good ages */
                   8239:           for (i=1; i<=nlstate;i++){
                   8240:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingoodr[cptcod]][i][cptcod];
                   8241:           } /* i */
                   8242:         } /* end bad */
                   8243:        }else{
                   8244:         if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8245:           agemingood[cptcod]=age;
                   8246:         }else{ /* bad */
                   8247:           for (i=1; i<=nlstate;i++){
                   8248:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   8249:           } /* i */
                   8250:         } /* end bad */
                   8251:        }/* end else */
                   8252:        sum=0.;sumr=0.;
                   8253:        for (i=1; i<=nlstate;i++){
                   8254:         sum+=mobaverage[(int)age][i][cptcod];
                   8255:         sumr+=mobaverage[(int)age][i][cptcod];
1.222     brouard  8256:        }
1.266     brouard  8257:        if(fabs(sum - 1.) > 1.e-3) { /* bad */
1.268     brouard  8258:         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  8259:        } /* end bad */
                   8260:        /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   8261:        if(fabs(sumr - 1.) > 1.e-3) { /* bad */
1.268     brouard  8262:         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  8263:        } /* end bad */
                   8264:      }/* age */
1.266     brouard  8265: 
1.222     brouard  8266:                
                   8267:      for (age=bage; age<=fage; age++){
1.235     brouard  8268:        /* printf("%d %d ", cptcod, (int)age); */
1.222     brouard  8269:        sumnewp[cptcod]=0.;
                   8270:        sumnewm[cptcod]=0.;
                   8271:        for (i=1; i<=nlstate;i++){
                   8272:         sumnewp[cptcod]+=probs[(int)age][i][cptcod];
                   8273:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8274:         /* printf("%.4f %.4f ",probs[(int)age][i][cptcod], mobaverage[(int)age][i][cptcod]); */
                   8275:        }
                   8276:        /* printf("%.4f %.4f \n",sumnewp[cptcod], sumnewm[cptcod]); */
                   8277:      }
                   8278:      /* printf("\n"); */
                   8279:      /* } */
1.266     brouard  8280: 
1.222     brouard  8281:      /* brutal averaging */
1.266     brouard  8282:      /* for (i=1; i<=nlstate;i++){ */
                   8283:      /*   for (age=1; age<=bage; age++){ */
                   8284:      /*         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
                   8285:      /*         /\* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); *\/ */
                   8286:      /*   }     */
                   8287:      /*   for (age=fage; age<=AGESUP; age++){ */
                   8288:      /*         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod]; */
                   8289:      /*         /\* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); *\/ */
                   8290:      /*   } */
                   8291:      /* } /\* end i status *\/ */
                   8292:      /* for (i=nlstate+1; i<=nlstate+ndeath;i++){ */
                   8293:      /*   for (age=1; age<=AGESUP; age++){ */
                   8294:      /*         /\*printf("i=%d, age=%d, cptcod=%d\n",i, (int)age, cptcod);*\/ */
                   8295:      /*         mobaverage[(int)age][i][cptcod]=0.; */
                   8296:      /*   } */
                   8297:      /* } */
1.222     brouard  8298:    }/* end cptcod */
1.266     brouard  8299:    free_vector(agemaxgoodr,1, ncovcombmax);
                   8300:    free_vector(agemaxgood,1, ncovcombmax);
                   8301:    free_vector(agemingood,1, ncovcombmax);
                   8302:    free_vector(agemingoodr,1, ncovcombmax);
                   8303:    free_vector(sumnewmr,1, ncovcombmax);
1.222     brouard  8304:    free_vector(sumnewm,1, ncovcombmax);
                   8305:    free_vector(sumnewp,1, ncovcombmax);
                   8306:    return 0;
                   8307:  }/* End movingaverage */
1.218     brouard  8308:  
1.126     brouard  8309: 
1.296   ! brouard  8310:  int date2dmy(double date,double *day, double *month, double *year){
        !          8311:    double yp=0., yp1=0., yp2=0.;
        !          8312:    
        !          8313:    yp1=modf(date,&yp);/* extracts integral of date in yp  and
        !          8314:                           fractional in yp1 */
        !          8315:    *year=yp;
        !          8316:    yp2=modf((yp1*12),&yp);
        !          8317:    *month=yp;
        !          8318:    yp1=modf((yp2*30.5),&yp);
        !          8319:    *day=yp;
        !          8320:    if(*day==0) *day=1;
        !          8321:    if(*month==0) *month=1;
        !          8322:    return;
        !          8323:  }
        !          8324:  
1.126     brouard  8325: /************** Forecasting ******************/
1.296   ! brouard  8326: /* 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)*/
        !          8327: 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){
        !          8328:   /* dateintemean, mean date of interviews
        !          8329:      dateprojd, year, month, day of starting projection 
        !          8330:      dateprojf date of end of projection;year of end of projection (same day and month as proj1).
1.126     brouard  8331:      agemin, agemax range of age
                   8332:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   8333:   */
1.296   ! brouard  8334:   /* double anprojd, mprojd, jprojd; */
        !          8335:   /* double anprojf, mprojf, jprojf; */
1.267     brouard  8336:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
1.126     brouard  8337:   double agec; /* generic age */
1.296   ! brouard  8338:   double agelim, ppij, yp,yp1,yp2;
1.126     brouard  8339:   double *popeffectif,*popcount;
                   8340:   double ***p3mat;
1.218     brouard  8341:   /* double ***mobaverage; */
1.126     brouard  8342:   char fileresf[FILENAMELENGTH];
                   8343: 
                   8344:   agelim=AGESUP;
1.211     brouard  8345:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   8346:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   8347:      We still use firstpass and lastpass as another selection.
                   8348:   */
1.214     brouard  8349:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   8350:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
1.126     brouard  8351:  
1.201     brouard  8352:   strcpy(fileresf,"F_"); 
                   8353:   strcat(fileresf,fileresu);
1.126     brouard  8354:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   8355:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   8356:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   8357:   }
1.235     brouard  8358:   printf("\nComputing forecasting: result on file '%s', please wait... \n", fileresf);
                   8359:   fprintf(ficlog,"\nComputing forecasting: result on file '%s', please wait... \n", fileresf);
1.126     brouard  8360: 
1.225     brouard  8361:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
1.126     brouard  8362: 
                   8363: 
                   8364:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8365:   if (stepm<=12) stepsize=1;
                   8366:   if(estepm < stepm){
                   8367:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   8368:   }
1.270     brouard  8369:   else{
                   8370:     hstepm=estepm;   
                   8371:   }
                   8372:   if(estepm > stepm){ /* Yes every two year */
                   8373:     stepsize=2;
                   8374:   }
1.296   ! brouard  8375:   hstepm=hstepm/stepm;
1.126     brouard  8376: 
1.296   ! brouard  8377:   
        !          8378:   /* yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
        !          8379:   /*                              fractional in yp1 *\/ */
        !          8380:   /* aintmean=yp; */
        !          8381:   /* yp2=modf((yp1*12),&yp); */
        !          8382:   /* mintmean=yp; */
        !          8383:   /* yp1=modf((yp2*30.5),&yp); */
        !          8384:   /* jintmean=yp; */
        !          8385:   /* if(jintmean==0) jintmean=1; */
        !          8386:   /* if(mintmean==0) mintmean=1; */
1.126     brouard  8387: 
1.296   ! brouard  8388: 
        !          8389:   /* date2dmy(dateintmean,&jintmean,&mintmean,&aintmean); */
        !          8390:   /* date2dmy(dateprojd,&jprojd, &mprojd, &anprojd); */
        !          8391:   /* date2dmy(dateprojf,&jprojf, &mprojf, &anprojf); */
1.227     brouard  8392:   i1=pow(2,cptcoveff);
1.126     brouard  8393:   if (cptcovn < 1){i1=1;}
                   8394:   
1.296   ! brouard  8395:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2); 
1.126     brouard  8396:   
                   8397:   fprintf(ficresf,"#****** Routine prevforecast **\n");
1.227     brouard  8398:   
1.126     brouard  8399: /*           if (h==(int)(YEARM*yearp)){ */
1.235     brouard  8400:   for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8401:   for(k=1; k<=i1;k++){
1.253     brouard  8402:     if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  8403:       continue;
1.227     brouard  8404:     if(invalidvarcomb[k]){
                   8405:       printf("\nCombination (%d) projection ignored because no cases \n",k); 
                   8406:       continue;
                   8407:     }
                   8408:     fprintf(ficresf,"\n#****** hpijx=probability over h years, hp.jx is weighted by observed prev \n#");
                   8409:     for(j=1;j<=cptcoveff;j++) {
                   8410:       fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8411:     }
1.235     brouard  8412:     for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.238     brouard  8413:       fprintf(ficresf," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.235     brouard  8414:     }
1.227     brouard  8415:     fprintf(ficresf," yearproj age");
                   8416:     for(j=1; j<=nlstate+ndeath;j++){ 
                   8417:       for(i=1; i<=nlstate;i++)               
                   8418:        fprintf(ficresf," p%d%d",i,j);
                   8419:       fprintf(ficresf," wp.%d",j);
                   8420:     }
1.296   ! brouard  8421:     for (yearp=0; yearp<=(anprojf-anprojd);yearp +=stepsize) {
1.227     brouard  8422:       fprintf(ficresf,"\n");
1.296   ! brouard  8423:       fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jprojd,mprojd,anprojd+yearp);   
1.270     brouard  8424:       /* for (agec=fage; agec>=(ageminpar-1); agec--){  */
                   8425:       for (agec=fage; agec>=(bage); agec--){ 
1.227     brouard  8426:        nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   8427:        nhstepm = nhstepm/hstepm; 
                   8428:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8429:        oldm=oldms;savm=savms;
1.268     brouard  8430:        /* We compute pii at age agec over nhstepm);*/
1.235     brouard  8431:        hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k,nres);
1.268     brouard  8432:        /* Then we print p3mat for h corresponding to the right agec+h*stepms=yearp */
1.227     brouard  8433:        for (h=0; h<=nhstepm; h++){
                   8434:          if (h*hstepm/YEARM*stepm ==yearp) {
1.268     brouard  8435:            break;
                   8436:          }
                   8437:        }
                   8438:        fprintf(ficresf,"\n");
                   8439:        for(j=1;j<=cptcoveff;j++) 
                   8440:          fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.296   ! brouard  8441:        fprintf(ficresf,"%.f %.f ",anprojd+yearp,agec+h*hstepm/YEARM*stepm);
1.268     brouard  8442:        
                   8443:        for(j=1; j<=nlstate+ndeath;j++) {
                   8444:          ppij=0.;
                   8445:          for(i=1; i<=nlstate;i++) {
1.278     brouard  8446:            if (mobilav>=1)
                   8447:             ppij=ppij+p3mat[i][j][h]*prev[(int)agec][i][k];
                   8448:            else { /* even if mobilav==-1 we use mobaverage, probs may not sums to 1 */
                   8449:                ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k];
                   8450:            }
1.268     brouard  8451:            fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   8452:          } /* end i */
                   8453:          fprintf(ficresf," %.3f", ppij);
                   8454:        }/* end j */
1.227     brouard  8455:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8456:       } /* end agec */
1.266     brouard  8457:       /* diffyear=(int) anproj1+yearp-ageminpar-1; */
                   8458:       /*printf("Prevforecast %d+%d-%d=diffyear=%d\n",(int) anproj1, (int)yearp,(int)ageminpar,(int) anproj1-(int)ageminpar);*/
1.227     brouard  8459:     } /* end yearp */
                   8460:   } /* end  k */
1.219     brouard  8461:        
1.126     brouard  8462:   fclose(ficresf);
1.215     brouard  8463:   printf("End of Computing forecasting \n");
                   8464:   fprintf(ficlog,"End of Computing forecasting\n");
                   8465: 
1.126     brouard  8466: }
                   8467: 
1.269     brouard  8468: /************** Back Forecasting ******************/
1.296   ! brouard  8469:  /* 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){ */
        !          8470:  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){
        !          8471:   /* back1, year, month, day of starting backprojection
1.267     brouard  8472:      agemin, agemax range of age
                   8473:      dateprev1 dateprev2 range of dates during which prevalence is computed
1.269     brouard  8474:      anback2 year of end of backprojection (same day and month as back1).
                   8475:      prevacurrent and prev are prevalences.
1.267     brouard  8476:   */
                   8477:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
                   8478:   double agec; /* generic age */
1.296   ! brouard  8479:   double agelim, ppij, ppi, yp,yp1,yp2,jintmean,mintmean,aintmean;
1.267     brouard  8480:   double *popeffectif,*popcount;
                   8481:   double ***p3mat;
                   8482:   /* double ***mobaverage; */
                   8483:   char fileresfb[FILENAMELENGTH];
                   8484:  
1.268     brouard  8485:   agelim=AGEINF;
1.267     brouard  8486:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   8487:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   8488:      We still use firstpass and lastpass as another selection.
                   8489:   */
                   8490:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   8491:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
                   8492: 
                   8493:   /*Do we need to compute prevalence again?*/
                   8494: 
                   8495:   /* prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
                   8496:   
                   8497:   strcpy(fileresfb,"FB_");
                   8498:   strcat(fileresfb,fileresu);
                   8499:   if((ficresfb=fopen(fileresfb,"w"))==NULL) {
                   8500:     printf("Problem with back forecast resultfile: %s\n", fileresfb);
                   8501:     fprintf(ficlog,"Problem with back forecast resultfile: %s\n", fileresfb);
                   8502:   }
                   8503:   printf("\nComputing back forecasting: result on file '%s', please wait... \n", fileresfb);
                   8504:   fprintf(ficlog,"\nComputing back forecasting: result on file '%s', please wait... \n", fileresfb);
                   8505:   
                   8506:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   8507:   
                   8508:    
                   8509:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8510:   if (stepm<=12) stepsize=1;
                   8511:   if(estepm < stepm){
                   8512:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   8513:   }
1.270     brouard  8514:   else{
                   8515:     hstepm=estepm;   
                   8516:   }
                   8517:   if(estepm >= stepm){ /* Yes every two year */
                   8518:     stepsize=2;
                   8519:   }
1.267     brouard  8520:   
                   8521:   hstepm=hstepm/stepm;
1.296   ! brouard  8522:   /* yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
        !          8523:   /*                              fractional in yp1 *\/ */
        !          8524:   /* aintmean=yp; */
        !          8525:   /* yp2=modf((yp1*12),&yp); */
        !          8526:   /* mintmean=yp; */
        !          8527:   /* yp1=modf((yp2*30.5),&yp); */
        !          8528:   /* jintmean=yp; */
        !          8529:   /* if(jintmean==0) jintmean=1; */
        !          8530:   /* if(mintmean==0) jintmean=1; */
1.267     brouard  8531:   
                   8532:   i1=pow(2,cptcoveff);
                   8533:   if (cptcovn < 1){i1=1;}
                   8534:   
1.296   ! brouard  8535:   fprintf(ficresfb,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2);
        !          8536:   printf("# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2);
1.267     brouard  8537:   
                   8538:   fprintf(ficresfb,"#****** Routine prevbackforecast **\n");
                   8539:   
                   8540:   for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8541:   for(k=1; k<=i1;k++){
                   8542:     if(i1 != 1 && TKresult[nres]!= k)
                   8543:       continue;
                   8544:     if(invalidvarcomb[k]){
                   8545:       printf("\nCombination (%d) projection ignored because no cases \n",k); 
                   8546:       continue;
                   8547:     }
1.268     brouard  8548:     fprintf(ficresfb,"\n#****** hbijx=probability over h years, hb.jx is weighted by observed prev \n#");
1.267     brouard  8549:     for(j=1;j<=cptcoveff;j++) {
                   8550:       fprintf(ficresfb," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8551:     }
                   8552:     for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   8553:       fprintf(ficresf," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   8554:     }
                   8555:     fprintf(ficresfb," yearbproj age");
                   8556:     for(j=1; j<=nlstate+ndeath;j++){
                   8557:       for(i=1; i<=nlstate;i++)
1.268     brouard  8558:        fprintf(ficresfb," b%d%d",i,j);
                   8559:       fprintf(ficresfb," b.%d",j);
1.267     brouard  8560:     }
1.296   ! brouard  8561:     for (yearp=0; yearp>=(anbackf-anbackd);yearp -=stepsize) {
1.267     brouard  8562:       /* for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {  */
                   8563:       fprintf(ficresfb,"\n");
1.296   ! brouard  8564:       fprintf(ficresfb,"\n# Back Forecasting at date %.lf/%.lf/%.lf ",jbackd,mbackd,anbackd+yearp);
1.273     brouard  8565:       /* printf("\n# Back Forecasting at date %.lf/%.lf/%.lf ",jback1,mback1,anback1+yearp); */
1.270     brouard  8566:       /* for (agec=bage; agec<=agemax-1; agec++){  /\* testing *\/ */
                   8567:       for (agec=bage; agec<=fage; agec++){  /* testing */
1.268     brouard  8568:        /* We compute bij at age agec over nhstepm, nhstepm decreases when agec increases because of agemax;*/
1.271     brouard  8569:        nhstepm=(int) (agec-agelim) *YEARM/stepm;/*     nhstepm=(int) rint((agec-agelim)*YEARM/stepm);*/
1.267     brouard  8570:        nhstepm = nhstepm/hstepm;
                   8571:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8572:        oldm=oldms;savm=savms;
1.268     brouard  8573:        /* computes hbxij at age agec over 1 to nhstepm */
1.271     brouard  8574:        /* printf("####prevbackforecast debug  agec=%.2f nhstepm=%d\n",agec, nhstepm);fflush(stdout); */
1.267     brouard  8575:        hbxij(p3mat,nhstepm,agec,hstepm,p,prevacurrent,nlstate,stepm, k, nres);
1.268     brouard  8576:        /* hpxij(p3mat,nhstepm,agec,hstepm,p,             nlstate,stepm,oldm,savm, k,nres); */
                   8577:        /* Then we print p3mat for h corresponding to the right agec+h*stepms=yearp */
                   8578:        /* printf(" agec=%.2f\n",agec);fflush(stdout); */
1.267     brouard  8579:        for (h=0; h<=nhstepm; h++){
1.268     brouard  8580:          if (h*hstepm/YEARM*stepm ==-yearp) {
                   8581:            break;
                   8582:          }
                   8583:        }
                   8584:        fprintf(ficresfb,"\n");
                   8585:        for(j=1;j<=cptcoveff;j++)
                   8586:          fprintf(ficresfb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.296   ! brouard  8587:        fprintf(ficresfb,"%.f %.f ",anbackd+yearp,agec-h*hstepm/YEARM*stepm);
1.268     brouard  8588:        for(i=1; i<=nlstate+ndeath;i++) {
                   8589:          ppij=0.;ppi=0.;
                   8590:          for(j=1; j<=nlstate;j++) {
                   8591:            /* if (mobilav==1) */
1.269     brouard  8592:            ppij=ppij+p3mat[i][j][h]*prevacurrent[(int)agec][j][k];
                   8593:            ppi=ppi+prevacurrent[(int)agec][j][k];
                   8594:            /* ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][j][k]; */
                   8595:            /* ppi=ppi+mobaverage[(int)agec][j][k]; */
1.267     brouard  8596:              /* else { */
                   8597:              /*        ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k]; */
                   8598:              /* } */
1.268     brouard  8599:            fprintf(ficresfb," %.3f", p3mat[i][j][h]);
                   8600:          } /* end j */
                   8601:          if(ppi <0.99){
                   8602:            printf("Error in prevbackforecast, prevalence doesn't sum to 1 for state %d: %3f\n",i, ppi);
                   8603:            fprintf(ficlog,"Error in prevbackforecast, prevalence doesn't sum to 1 for state %d: %3f\n",i, ppi);
                   8604:          }
                   8605:          fprintf(ficresfb," %.3f", ppij);
                   8606:        }/* end j */
1.267     brouard  8607:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8608:       } /* end agec */
                   8609:     } /* end yearp */
                   8610:   } /* end k */
1.217     brouard  8611:   
1.267     brouard  8612:   /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
1.217     brouard  8613:   
1.267     brouard  8614:   fclose(ficresfb);
                   8615:   printf("End of Computing Back forecasting \n");
                   8616:   fprintf(ficlog,"End of Computing Back forecasting\n");
1.218     brouard  8617:        
1.267     brouard  8618: }
1.217     brouard  8619: 
1.269     brouard  8620: /* Variance of prevalence limit: varprlim */
                   8621:  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  8622:     /*------- Variance of forward period (stable) prevalence------*/   
1.269     brouard  8623:  
                   8624:    char fileresvpl[FILENAMELENGTH];  
                   8625:    FILE *ficresvpl;
                   8626:    double **oldm, **savm;
                   8627:    double **varpl; /* Variances of prevalence limits by age */   
                   8628:    int i1, k, nres, j ;
                   8629:    
                   8630:     strcpy(fileresvpl,"VPL_");
                   8631:     strcat(fileresvpl,fileresu);
                   8632:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
1.288     brouard  8633:       printf("Problem with variance of forward period (stable) prevalence  resultfile: %s\n", fileresvpl);
1.269     brouard  8634:       exit(0);
                   8635:     }
1.288     brouard  8636:     printf("Computing Variance-covariance of forward period (stable) prevalence: file '%s' ...", fileresvpl);fflush(stdout);
                   8637:     fprintf(ficlog, "Computing Variance-covariance of forward period (stable) prevalence: file '%s' ...", fileresvpl);fflush(ficlog);
1.269     brouard  8638:     
                   8639:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   8640:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   8641:     
                   8642:     i1=pow(2,cptcoveff);
                   8643:     if (cptcovn < 1){i1=1;}
                   8644: 
                   8645:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8646:     for(k=1; k<=i1;k++){
                   8647:       if(i1 != 1 && TKresult[nres]!= k)
                   8648:        continue;
                   8649:       fprintf(ficresvpl,"\n#****** ");
                   8650:       printf("\n#****** ");
                   8651:       fprintf(ficlog,"\n#****** ");
                   8652:       for(j=1;j<=cptcoveff;j++) {
                   8653:        fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8654:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8655:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8656:       }
                   8657:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   8658:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8659:        fprintf(ficresvpl," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8660:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8661:       }        
                   8662:       fprintf(ficresvpl,"******\n");
                   8663:       printf("******\n");
                   8664:       fprintf(ficlog,"******\n");
                   8665:       
                   8666:       varpl=matrix(1,nlstate,(int) bage, (int) fage);
                   8667:       oldm=oldms;savm=savms;
                   8668:       varprevlim(fileresvpl, ficresvpl, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, ncvyearp, k, strstart, nres);
                   8669:       free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
                   8670:       /*}*/
                   8671:     }
                   8672:     
                   8673:     fclose(ficresvpl);
1.288     brouard  8674:     printf("done variance-covariance of forward period prevalence\n");fflush(stdout);
                   8675:     fprintf(ficlog,"done variance-covariance of forward period prevalence\n");fflush(ficlog);
1.269     brouard  8676: 
                   8677:  }
                   8678: /* Variance of back prevalence: varbprlim */
                   8679:  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){
                   8680:       /*------- Variance of back (stable) prevalence------*/
                   8681: 
                   8682:    char fileresvbl[FILENAMELENGTH];  
                   8683:    FILE  *ficresvbl;
                   8684: 
                   8685:    double **oldm, **savm;
                   8686:    double **varbpl; /* Variances of back prevalence limits by age */   
                   8687:    int i1, k, nres, j ;
                   8688: 
                   8689:    strcpy(fileresvbl,"VBL_");
                   8690:    strcat(fileresvbl,fileresu);
                   8691:    if((ficresvbl=fopen(fileresvbl,"w"))==NULL) {
                   8692:      printf("Problem with variance of back (stable) prevalence  resultfile: %s\n", fileresvbl);
                   8693:      exit(0);
                   8694:    }
                   8695:    printf("Computing Variance-covariance of back (stable) prevalence: file '%s' ...", fileresvbl);fflush(stdout);
                   8696:    fprintf(ficlog, "Computing Variance-covariance of back (stable) prevalence: file '%s' ...", fileresvbl);fflush(ficlog);
                   8697:    
                   8698:    
                   8699:    i1=pow(2,cptcoveff);
                   8700:    if (cptcovn < 1){i1=1;}
                   8701:    
                   8702:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8703:      for(k=1; k<=i1;k++){
                   8704:        if(i1 != 1 && TKresult[nres]!= k)
                   8705:         continue;
                   8706:        fprintf(ficresvbl,"\n#****** ");
                   8707:        printf("\n#****** ");
                   8708:        fprintf(ficlog,"\n#****** ");
                   8709:        for(j=1;j<=cptcoveff;j++) {
                   8710:         fprintf(ficresvbl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8711:         fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8712:         printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8713:        }
                   8714:        for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   8715:         printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8716:         fprintf(ficresvbl," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8717:         fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8718:        }
                   8719:        fprintf(ficresvbl,"******\n");
                   8720:        printf("******\n");
                   8721:        fprintf(ficlog,"******\n");
                   8722:        
                   8723:        varbpl=matrix(1,nlstate,(int) bage, (int) fage);
                   8724:        oldm=oldms;savm=savms;
                   8725:        
                   8726:        varbrevlim(fileresvbl, ficresvbl, varbpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, bprlim, ftolpl, mobilavproj, ncvyearp, k, strstart, nres);
                   8727:        free_matrix(varbpl,1,nlstate,(int) bage, (int)fage);
                   8728:        /*}*/
                   8729:      }
                   8730:    
                   8731:    fclose(ficresvbl);
                   8732:    printf("done variance-covariance of back prevalence\n");fflush(stdout);
                   8733:    fprintf(ficlog,"done variance-covariance of back prevalence\n");fflush(ficlog);
                   8734: 
                   8735:  } /* End of varbprlim */
                   8736: 
1.126     brouard  8737: /************** Forecasting *****not tested NB*************/
1.227     brouard  8738: /* 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  8739:   
1.227     brouard  8740: /*   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h; */
                   8741: /*   int *popage; */
                   8742: /*   double calagedatem, agelim, kk1, kk2; */
                   8743: /*   double *popeffectif,*popcount; */
                   8744: /*   double ***p3mat,***tabpop,***tabpopprev; */
                   8745: /*   /\* double ***mobaverage; *\/ */
                   8746: /*   char filerespop[FILENAMELENGTH]; */
1.126     brouard  8747: 
1.227     brouard  8748: /*   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8749: /*   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8750: /*   agelim=AGESUP; */
                   8751: /*   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM; */
1.126     brouard  8752:   
1.227     brouard  8753: /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
1.126     brouard  8754:   
                   8755:   
1.227     brouard  8756: /*   strcpy(filerespop,"POP_");  */
                   8757: /*   strcat(filerespop,fileresu); */
                   8758: /*   if((ficrespop=fopen(filerespop,"w"))==NULL) { */
                   8759: /*     printf("Problem with forecast resultfile: %s\n", filerespop); */
                   8760: /*     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop); */
                   8761: /*   } */
                   8762: /*   printf("Computing forecasting: result on file '%s' \n", filerespop); */
                   8763: /*   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop); */
1.126     brouard  8764: 
1.227     brouard  8765: /*   if (cptcoveff==0) ncodemax[cptcoveff]=1; */
1.126     brouard  8766: 
1.227     brouard  8767: /*   /\* if (mobilav!=0) { *\/ */
                   8768: /*   /\*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   8769: /*   /\*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ *\/ */
                   8770: /*   /\*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   8771: /*   /\*     printf(" Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   8772: /*   /\*   } *\/ */
                   8773: /*   /\* } *\/ */
1.126     brouard  8774: 
1.227     brouard  8775: /*   stepsize=(int) (stepm+YEARM-1)/YEARM; */
                   8776: /*   if (stepm<=12) stepsize=1; */
1.126     brouard  8777:   
1.227     brouard  8778: /*   agelim=AGESUP; */
1.126     brouard  8779:   
1.227     brouard  8780: /*   hstepm=1; */
                   8781: /*   hstepm=hstepm/stepm;  */
1.218     brouard  8782:        
1.227     brouard  8783: /*   if (popforecast==1) { */
                   8784: /*     if((ficpop=fopen(popfile,"r"))==NULL) { */
                   8785: /*       printf("Problem with population file : %s\n",popfile);exit(0); */
                   8786: /*       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0); */
                   8787: /*     }  */
                   8788: /*     popage=ivector(0,AGESUP); */
                   8789: /*     popeffectif=vector(0,AGESUP); */
                   8790: /*     popcount=vector(0,AGESUP); */
1.126     brouard  8791:     
1.227     brouard  8792: /*     i=1;    */
                   8793: /*     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1; */
1.218     brouard  8794:     
1.227     brouard  8795: /*     imx=i; */
                   8796: /*     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i]; */
                   8797: /*   } */
1.218     brouard  8798:   
1.227     brouard  8799: /*   for(cptcov=1,k=0;cptcov<=i2;cptcov++){ */
                   8800: /*     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ */
                   8801: /*       k=k+1; */
                   8802: /*       fprintf(ficrespop,"\n#******"); */
                   8803: /*       for(j=1;j<=cptcoveff;j++) { */
                   8804: /*     fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   8805: /*       } */
                   8806: /*       fprintf(ficrespop,"******\n"); */
                   8807: /*       fprintf(ficrespop,"# Age"); */
                   8808: /*       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j); */
                   8809: /*       if (popforecast==1)  fprintf(ficrespop," [Population]"); */
1.126     brouard  8810:       
1.227     brouard  8811: /*       for (cpt=0; cpt<=0;cpt++) {  */
                   8812: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
1.126     brouard  8813:        
1.227     brouard  8814: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   8815: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   8816: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  8817:          
1.227     brouard  8818: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8819: /*       oldm=oldms;savm=savms; */
                   8820: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
1.218     brouard  8821:          
1.227     brouard  8822: /*       for (h=0; h<=nhstepm; h++){ */
                   8823: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   8824: /*           fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   8825: /*         }  */
                   8826: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   8827: /*           kk1=0.;kk2=0; */
                   8828: /*           for(i=1; i<=nlstate;i++) {               */
                   8829: /*             if (mobilav==1)  */
                   8830: /*               kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod]; */
                   8831: /*             else { */
                   8832: /*               kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod]; */
                   8833: /*             } */
                   8834: /*           } */
                   8835: /*           if (h==(int)(calagedatem+12*cpt)){ */
                   8836: /*             tabpop[(int)(agedeb)][j][cptcod]=kk1; */
                   8837: /*             /\*fprintf(ficrespop," %.3f", kk1); */
                   8838: /*               if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*\/ */
                   8839: /*           } */
                   8840: /*         } */
                   8841: /*         for(i=1; i<=nlstate;i++){ */
                   8842: /*           kk1=0.; */
                   8843: /*           for(j=1; j<=nlstate;j++){ */
                   8844: /*             kk1= kk1+tabpop[(int)(agedeb)][j][cptcod];  */
                   8845: /*           } */
                   8846: /*           tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)]; */
                   8847: /*         } */
1.218     brouard  8848:            
1.227     brouard  8849: /*         if (h==(int)(calagedatem+12*cpt)) */
                   8850: /*           for(j=1; j<=nlstate;j++)  */
                   8851: /*             fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]); */
                   8852: /*       } */
                   8853: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8854: /*     } */
                   8855: /*       } */
1.218     brouard  8856:       
1.227     brouard  8857: /*       /\******\/ */
1.218     brouard  8858:       
1.227     brouard  8859: /*       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) {  */
                   8860: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
                   8861: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   8862: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   8863: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  8864:          
1.227     brouard  8865: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8866: /*       oldm=oldms;savm=savms; */
                   8867: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
                   8868: /*       for (h=0; h<=nhstepm; h++){ */
                   8869: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   8870: /*           fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   8871: /*         }  */
                   8872: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   8873: /*           kk1=0.;kk2=0; */
                   8874: /*           for(i=1; i<=nlstate;i++) {               */
                   8875: /*             kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];     */
                   8876: /*           } */
                   8877: /*           if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);         */
                   8878: /*         } */
                   8879: /*       } */
                   8880: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8881: /*     } */
                   8882: /*       } */
                   8883: /*     }  */
                   8884: /*   } */
1.218     brouard  8885:   
1.227     brouard  8886: /*   /\* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
1.218     brouard  8887:   
1.227     brouard  8888: /*   if (popforecast==1) { */
                   8889: /*     free_ivector(popage,0,AGESUP); */
                   8890: /*     free_vector(popeffectif,0,AGESUP); */
                   8891: /*     free_vector(popcount,0,AGESUP); */
                   8892: /*   } */
                   8893: /*   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8894: /*   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8895: /*   fclose(ficrespop); */
                   8896: /* } /\* End of popforecast *\/ */
1.218     brouard  8897:  
1.126     brouard  8898: int fileappend(FILE *fichier, char *optionfich)
                   8899: {
                   8900:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   8901:     printf("Problem with file: %s\n", optionfich);
                   8902:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   8903:     return (0);
                   8904:   }
                   8905:   fflush(fichier);
                   8906:   return (1);
                   8907: }
                   8908: 
                   8909: 
                   8910: /**************** function prwizard **********************/
                   8911: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   8912: {
                   8913: 
                   8914:   /* Wizard to print covariance matrix template */
                   8915: 
1.164     brouard  8916:   char ca[32], cb[32];
                   8917:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  8918:   int numlinepar;
                   8919: 
                   8920:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   8921:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   8922:   for(i=1; i <=nlstate; i++){
                   8923:     jj=0;
                   8924:     for(j=1; j <=nlstate+ndeath; j++){
                   8925:       if(j==i) continue;
                   8926:       jj++;
                   8927:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   8928:       printf("%1d%1d",i,j);
                   8929:       fprintf(ficparo,"%1d%1d",i,j);
                   8930:       for(k=1; k<=ncovmodel;k++){
                   8931:        /*        printf(" %lf",param[i][j][k]); */
                   8932:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   8933:        printf(" 0.");
                   8934:        fprintf(ficparo," 0.");
                   8935:       }
                   8936:       printf("\n");
                   8937:       fprintf(ficparo,"\n");
                   8938:     }
                   8939:   }
                   8940:   printf("# Scales (for hessian or gradient estimation)\n");
                   8941:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   8942:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   8943:   for(i=1; i <=nlstate; i++){
                   8944:     jj=0;
                   8945:     for(j=1; j <=nlstate+ndeath; j++){
                   8946:       if(j==i) continue;
                   8947:       jj++;
                   8948:       fprintf(ficparo,"%1d%1d",i,j);
                   8949:       printf("%1d%1d",i,j);
                   8950:       fflush(stdout);
                   8951:       for(k=1; k<=ncovmodel;k++){
                   8952:        /*      printf(" %le",delti3[i][j][k]); */
                   8953:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   8954:        printf(" 0.");
                   8955:        fprintf(ficparo," 0.");
                   8956:       }
                   8957:       numlinepar++;
                   8958:       printf("\n");
                   8959:       fprintf(ficparo,"\n");
                   8960:     }
                   8961:   }
                   8962:   printf("# Covariance matrix\n");
                   8963: /* # 121 Var(a12)\n\ */
                   8964: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   8965: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   8966: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   8967: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   8968: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   8969: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   8970: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   8971:   fflush(stdout);
                   8972:   fprintf(ficparo,"# Covariance matrix\n");
                   8973:   /* # 121 Var(a12)\n\ */
                   8974:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   8975:   /* #   ...\n\ */
                   8976:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   8977:   
                   8978:   for(itimes=1;itimes<=2;itimes++){
                   8979:     jj=0;
                   8980:     for(i=1; i <=nlstate; i++){
                   8981:       for(j=1; j <=nlstate+ndeath; j++){
                   8982:        if(j==i) continue;
                   8983:        for(k=1; k<=ncovmodel;k++){
                   8984:          jj++;
                   8985:          ca[0]= k+'a'-1;ca[1]='\0';
                   8986:          if(itimes==1){
                   8987:            printf("#%1d%1d%d",i,j,k);
                   8988:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   8989:          }else{
                   8990:            printf("%1d%1d%d",i,j,k);
                   8991:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   8992:            /*  printf(" %.5le",matcov[i][j]); */
                   8993:          }
                   8994:          ll=0;
                   8995:          for(li=1;li <=nlstate; li++){
                   8996:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   8997:              if(lj==li) continue;
                   8998:              for(lk=1;lk<=ncovmodel;lk++){
                   8999:                ll++;
                   9000:                if(ll<=jj){
                   9001:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   9002:                  if(ll<jj){
                   9003:                    if(itimes==1){
                   9004:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   9005:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   9006:                    }else{
                   9007:                      printf(" 0.");
                   9008:                      fprintf(ficparo," 0.");
                   9009:                    }
                   9010:                  }else{
                   9011:                    if(itimes==1){
                   9012:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   9013:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   9014:                    }else{
                   9015:                      printf(" 0.");
                   9016:                      fprintf(ficparo," 0.");
                   9017:                    }
                   9018:                  }
                   9019:                }
                   9020:              } /* end lk */
                   9021:            } /* end lj */
                   9022:          } /* end li */
                   9023:          printf("\n");
                   9024:          fprintf(ficparo,"\n");
                   9025:          numlinepar++;
                   9026:        } /* end k*/
                   9027:       } /*end j */
                   9028:     } /* end i */
                   9029:   } /* end itimes */
                   9030: 
                   9031: } /* end of prwizard */
                   9032: /******************* Gompertz Likelihood ******************************/
                   9033: double gompertz(double x[])
                   9034: { 
                   9035:   double A,B,L=0.0,sump=0.,num=0.;
                   9036:   int i,n=0; /* n is the size of the sample */
                   9037: 
1.220     brouard  9038:   for (i=1;i<=imx ; i++) {
1.126     brouard  9039:     sump=sump+weight[i];
                   9040:     /*    sump=sump+1;*/
                   9041:     num=num+1;
                   9042:   }
                   9043:  
                   9044:  
                   9045:   /* for (i=0; i<=imx; i++) 
                   9046:      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]);*/
                   9047: 
                   9048:   for (i=1;i<=imx ; i++)
                   9049:     {
                   9050:       if (cens[i] == 1 && wav[i]>1)
                   9051:        A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   9052:       
                   9053:       if (cens[i] == 0 && wav[i]>1)
                   9054:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                   9055:             +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
                   9056:       
                   9057:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   9058:       if (wav[i] > 1 ) { /* ??? */
                   9059:        L=L+A*weight[i];
                   9060:        /*      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]);*/
                   9061:       }
                   9062:     }
                   9063: 
                   9064:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   9065:  
                   9066:   return -2*L*num/sump;
                   9067: }
                   9068: 
1.136     brouard  9069: #ifdef GSL
                   9070: /******************* Gompertz_f Likelihood ******************************/
                   9071: double gompertz_f(const gsl_vector *v, void *params)
                   9072: { 
                   9073:   double A,B,LL=0.0,sump=0.,num=0.;
                   9074:   double *x= (double *) v->data;
                   9075:   int i,n=0; /* n is the size of the sample */
                   9076: 
                   9077:   for (i=0;i<=imx-1 ; i++) {
                   9078:     sump=sump+weight[i];
                   9079:     /*    sump=sump+1;*/
                   9080:     num=num+1;
                   9081:   }
                   9082:  
                   9083:  
                   9084:   /* for (i=0; i<=imx; i++) 
                   9085:      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]);*/
                   9086:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   9087:   for (i=1;i<=imx ; i++)
                   9088:     {
                   9089:       if (cens[i] == 1 && wav[i]>1)
                   9090:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   9091:       
                   9092:       if (cens[i] == 0 && wav[i]>1)
                   9093:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   9094:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   9095:       
                   9096:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   9097:       if (wav[i] > 1 ) { /* ??? */
                   9098:        LL=LL+A*weight[i];
                   9099:        /*      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]);*/
                   9100:       }
                   9101:     }
                   9102: 
                   9103:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   9104:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   9105:  
                   9106:   return -2*LL*num/sump;
                   9107: }
                   9108: #endif
                   9109: 
1.126     brouard  9110: /******************* Printing html file ***********/
1.201     brouard  9111: void printinghtmlmort(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  9112:                  int lastpass, int stepm, int weightopt, char model[],\
                   9113:                  int imx,  double p[],double **matcov,double agemortsup){
                   9114:   int i,k;
                   9115: 
                   9116:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   9117:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   9118:   for (i=1;i<=2;i++) 
                   9119:     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  9120:   fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
1.126     brouard  9121:   fprintf(fichtm,"</ul>");
                   9122: 
                   9123: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   9124: 
                   9125:  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>");
                   9126: 
                   9127:  for (k=agegomp;k<(agemortsup-2);k++) 
                   9128:    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]);
                   9129: 
                   9130:  
                   9131:   fflush(fichtm);
                   9132: }
                   9133: 
                   9134: /******************* Gnuplot file **************/
1.201     brouard  9135: void printinggnuplotmort(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
1.126     brouard  9136: 
                   9137:   char dirfileres[132],optfileres[132];
1.164     brouard  9138: 
1.126     brouard  9139:   int ng;
                   9140: 
                   9141: 
                   9142:   /*#ifdef windows */
                   9143:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   9144:     /*#endif */
                   9145: 
                   9146: 
                   9147:   strcpy(dirfileres,optionfilefiname);
                   9148:   strcpy(optfileres,"vpl");
1.199     brouard  9149:   fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
1.126     brouard  9150:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.199     brouard  9151:   fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
1.145     brouard  9152:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  9153:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   9154: 
                   9155: } 
                   9156: 
1.136     brouard  9157: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   9158: {
1.126     brouard  9159: 
1.136     brouard  9160:   /*-------- data file ----------*/
                   9161:   FILE *fic;
                   9162:   char dummy[]="                         ";
1.240     brouard  9163:   int i=0, j=0, n=0, iv=0, v;
1.223     brouard  9164:   int lstra;
1.136     brouard  9165:   int linei, month, year,iout;
                   9166:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  9167:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  9168:   char *stratrunc;
1.223     brouard  9169: 
1.240     brouard  9170:   DummyV=ivector(1,NCOVMAX); /* 1 to 3 */
                   9171:   FixedV=ivector(1,NCOVMAX); /* 1 to 3 */
1.126     brouard  9172: 
1.240     brouard  9173:   for(v=1; v <=ncovcol;v++){
                   9174:     DummyV[v]=0;
                   9175:     FixedV[v]=0;
                   9176:   }
                   9177:   for(v=ncovcol+1; v <=ncovcol+nqv;v++){
                   9178:     DummyV[v]=1;
                   9179:     FixedV[v]=0;
                   9180:   }
                   9181:   for(v=ncovcol+nqv+1; v <=ncovcol+nqv+ntv;v++){
                   9182:     DummyV[v]=0;
                   9183:     FixedV[v]=1;
                   9184:   }
                   9185:   for(v=ncovcol+nqv+ntv+1; v <=ncovcol+nqv+ntv+nqtv;v++){
                   9186:     DummyV[v]=1;
                   9187:     FixedV[v]=1;
                   9188:   }
                   9189:   for(v=1; v <=ncovcol+nqv+ntv+nqtv;v++){
                   9190:     printf("Covariate type in the data: V%d, DummyV(V%d)=%d, FixedV(V%d)=%d\n",v,v,DummyV[v],v,FixedV[v]);
                   9191:     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]);
                   9192:   }
1.126     brouard  9193: 
1.136     brouard  9194:   if((fic=fopen(datafile,"r"))==NULL)    {
1.218     brouard  9195:     printf("Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(stdout);
                   9196:     fprintf(ficlog,"Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(ficlog);return 1;
1.136     brouard  9197:   }
1.126     brouard  9198: 
1.136     brouard  9199:   i=1;
                   9200:   linei=0;
                   9201:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   9202:     linei=linei+1;
                   9203:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   9204:       if(line[j] == '\t')
                   9205:        line[j] = ' ';
                   9206:     }
                   9207:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   9208:       ;
                   9209:     };
                   9210:     line[j+1]=0;  /* Trims blanks at end of line */
                   9211:     if(line[0]=='#'){
                   9212:       fprintf(ficlog,"Comment line\n%s\n",line);
                   9213:       printf("Comment line\n%s\n",line);
                   9214:       continue;
                   9215:     }
                   9216:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  9217:     strcpy(line, linetmp);
1.223     brouard  9218:     
                   9219:     /* Loops on waves */
                   9220:     for (j=maxwav;j>=1;j--){
                   9221:       for (iv=nqtv;iv>=1;iv--){  /* Loop  on time varying quantitative variables */
1.238     brouard  9222:        cutv(stra, strb, line, ' '); 
                   9223:        if(strb[0]=='.') { /* Missing value */
                   9224:          lval=-1;
                   9225:          cotqvar[j][iv][i]=-1; /* 0.0/0.0 */
                   9226:          cotvar[j][ntv+iv][i]=-1; /* For performance reasons */
                   9227:          if(isalpha(strb[1])) { /* .m or .d Really Missing value */
                   9228:            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);
                   9229:            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);
                   9230:            return 1;
                   9231:          }
                   9232:        }else{
                   9233:          errno=0;
                   9234:          /* what_kind_of_number(strb); */
                   9235:          dval=strtod(strb,&endptr); 
                   9236:          /* if( strb[0]=='\0' || (*endptr != '\0')){ */
                   9237:          /* if(strb != endptr && *endptr == '\0') */
                   9238:          /*    dval=dlval; */
                   9239:          /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   9240:          if( strb[0]=='\0' || (*endptr != '\0')){
                   9241:            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);
                   9242:            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);
                   9243:            return 1;
                   9244:          }
                   9245:          cotqvar[j][iv][i]=dval; 
                   9246:          cotvar[j][ntv+iv][i]=dval; 
                   9247:        }
                   9248:        strcpy(line,stra);
1.223     brouard  9249:       }/* end loop ntqv */
1.225     brouard  9250:       
1.223     brouard  9251:       for (iv=ntv;iv>=1;iv--){  /* Loop  on time varying dummies */
1.238     brouard  9252:        cutv(stra, strb, line, ' '); 
                   9253:        if(strb[0]=='.') { /* Missing value */
                   9254:          lval=-1;
                   9255:        }else{
                   9256:          errno=0;
                   9257:          lval=strtol(strb,&endptr,10); 
                   9258:          /*    if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   9259:          if( strb[0]=='\0' || (*endptr != '\0')){
                   9260:            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);
                   9261:            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);
                   9262:            return 1;
                   9263:          }
                   9264:        }
                   9265:        if(lval <-1 || lval >1){
                   9266:          printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  9267:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9268:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.238     brouard  9269:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9270:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9271:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  9272:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.238     brouard  9273:  output of IMaCh is often meaningless.\n                               \
1.223     brouard  9274:  Exiting.\n",lval,linei, i,line,j);
1.238     brouard  9275:          fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  9276:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9277:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.238     brouard  9278:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9279:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9280:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  9281:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.238     brouard  9282:  output of IMaCh is often meaningless.\n                               \
1.223     brouard  9283:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.238     brouard  9284:          return 1;
                   9285:        }
                   9286:        cotvar[j][iv][i]=(double)(lval);
                   9287:        strcpy(line,stra);
1.223     brouard  9288:       }/* end loop ntv */
1.225     brouard  9289:       
1.223     brouard  9290:       /* Statuses  at wave */
1.137     brouard  9291:       cutv(stra, strb, line, ' '); 
1.223     brouard  9292:       if(strb[0]=='.') { /* Missing value */
1.238     brouard  9293:        lval=-1;
1.136     brouard  9294:       }else{
1.238     brouard  9295:        errno=0;
                   9296:        lval=strtol(strb,&endptr,10); 
                   9297:        /*      if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   9298:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9299:          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);
                   9300:          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);
                   9301:          return 1;
                   9302:        }
1.136     brouard  9303:       }
1.225     brouard  9304:       
1.136     brouard  9305:       s[j][i]=lval;
1.225     brouard  9306:       
1.223     brouard  9307:       /* Date of Interview */
1.136     brouard  9308:       strcpy(line,stra);
                   9309:       cutv(stra, strb,line,' ');
1.169     brouard  9310:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9311:       }
1.169     brouard  9312:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.225     brouard  9313:        month=99;
                   9314:        year=9999;
1.136     brouard  9315:       }else{
1.225     brouard  9316:        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);
                   9317:        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);
                   9318:        return 1;
1.136     brouard  9319:       }
                   9320:       anint[j][i]= (double) year; 
                   9321:       mint[j][i]= (double)month; 
                   9322:       strcpy(line,stra);
1.223     brouard  9323:     } /* End loop on waves */
1.225     brouard  9324:     
1.223     brouard  9325:     /* Date of death */
1.136     brouard  9326:     cutv(stra, strb,line,' '); 
1.169     brouard  9327:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9328:     }
1.169     brouard  9329:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  9330:       month=99;
                   9331:       year=9999;
                   9332:     }else{
1.141     brouard  9333:       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  9334:       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);
                   9335:       return 1;
1.136     brouard  9336:     }
                   9337:     andc[i]=(double) year; 
                   9338:     moisdc[i]=(double) month; 
                   9339:     strcpy(line,stra);
                   9340:     
1.223     brouard  9341:     /* Date of birth */
1.136     brouard  9342:     cutv(stra, strb,line,' '); 
1.169     brouard  9343:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9344:     }
1.169     brouard  9345:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  9346:       month=99;
                   9347:       year=9999;
                   9348:     }else{
1.141     brouard  9349:       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);
                   9350:       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  9351:       return 1;
1.136     brouard  9352:     }
                   9353:     if (year==9999) {
1.141     brouard  9354:       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);
                   9355:       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  9356:       return 1;
                   9357:       
1.136     brouard  9358:     }
                   9359:     annais[i]=(double)(year);
                   9360:     moisnais[i]=(double)(month); 
                   9361:     strcpy(line,stra);
1.225     brouard  9362:     
1.223     brouard  9363:     /* Sample weight */
1.136     brouard  9364:     cutv(stra, strb,line,' '); 
                   9365:     errno=0;
                   9366:     dval=strtod(strb,&endptr); 
                   9367:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  9368:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   9369:       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  9370:       fflush(ficlog);
                   9371:       return 1;
                   9372:     }
                   9373:     weight[i]=dval; 
                   9374:     strcpy(line,stra);
1.225     brouard  9375:     
1.223     brouard  9376:     for (iv=nqv;iv>=1;iv--){  /* Loop  on fixed quantitative variables */
                   9377:       cutv(stra, strb, line, ' '); 
                   9378:       if(strb[0]=='.') { /* Missing value */
1.225     brouard  9379:        lval=-1;
1.223     brouard  9380:       }else{
1.225     brouard  9381:        errno=0;
                   9382:        /* what_kind_of_number(strb); */
                   9383:        dval=strtod(strb,&endptr);
                   9384:        /* if(strb != endptr && *endptr == '\0') */
                   9385:        /*   dval=dlval; */
                   9386:        /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   9387:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9388:          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);
                   9389:          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);
                   9390:          return 1;
                   9391:        }
                   9392:        coqvar[iv][i]=dval; 
1.226     brouard  9393:        covar[ncovcol+iv][i]=dval; /* including qvar in standard covar for performance reasons */ 
1.223     brouard  9394:       }
                   9395:       strcpy(line,stra);
                   9396:     }/* end loop nqv */
1.136     brouard  9397:     
1.223     brouard  9398:     /* Covariate values */
1.136     brouard  9399:     for (j=ncovcol;j>=1;j--){
                   9400:       cutv(stra, strb,line,' '); 
1.223     brouard  9401:       if(strb[0]=='.') { /* Missing covariate value */
1.225     brouard  9402:        lval=-1;
1.136     brouard  9403:       }else{
1.225     brouard  9404:        errno=0;
                   9405:        lval=strtol(strb,&endptr,10); 
                   9406:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9407:          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);
                   9408:          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);
                   9409:          return 1;
                   9410:        }
1.136     brouard  9411:       }
                   9412:       if(lval <-1 || lval >1){
1.225     brouard  9413:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  9414:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9415:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  9416:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9417:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9418:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  9419:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  9420:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  9421:  Exiting.\n",lval,linei, i,line,j);
1.225     brouard  9422:        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  9423:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9424:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  9425:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9426:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9427:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  9428:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  9429:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  9430:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.225     brouard  9431:        return 1;
1.136     brouard  9432:       }
                   9433:       covar[j][i]=(double)(lval);
                   9434:       strcpy(line,stra);
                   9435:     }  
                   9436:     lstra=strlen(stra);
1.225     brouard  9437:     
1.136     brouard  9438:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   9439:       stratrunc = &(stra[lstra-9]);
                   9440:       num[i]=atol(stratrunc);
                   9441:     }
                   9442:     else
                   9443:       num[i]=atol(stra);
                   9444:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   9445:       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;}*/
                   9446:     
                   9447:     i=i+1;
                   9448:   } /* End loop reading  data */
1.225     brouard  9449:   
1.136     brouard  9450:   *imax=i-1; /* Number of individuals */
                   9451:   fclose(fic);
1.225     brouard  9452:   
1.136     brouard  9453:   return (0);
1.164     brouard  9454:   /* endread: */
1.225     brouard  9455:   printf("Exiting readdata: ");
                   9456:   fclose(fic);
                   9457:   return (1);
1.223     brouard  9458: }
1.126     brouard  9459: 
1.234     brouard  9460: void removefirstspace(char **stri){/*, char stro[]) {*/
1.230     brouard  9461:   char *p1 = *stri, *p2 = *stri;
1.235     brouard  9462:   while (*p2 == ' ')
1.234     brouard  9463:     p2++; 
                   9464:   /* while ((*p1++ = *p2++) !=0) */
                   9465:   /*   ; */
                   9466:   /* do */
                   9467:   /*   while (*p2 == ' ') */
                   9468:   /*     p2++; */
                   9469:   /* while (*p1++ == *p2++); */
                   9470:   *stri=p2; 
1.145     brouard  9471: }
                   9472: 
1.235     brouard  9473: int decoderesult ( char resultline[], int nres)
1.230     brouard  9474: /**< This routine decode one result line and returns the combination # of dummy covariates only **/
                   9475: {
1.235     brouard  9476:   int j=0, k=0, k1=0, k2=0, k3=0, k4=0, match=0, k2q=0, k3q=0, k4q=0;
1.230     brouard  9477:   char resultsav[MAXLINE];
1.234     brouard  9478:   int resultmodel[MAXLINE];
                   9479:   int modelresult[MAXLINE];
1.230     brouard  9480:   char stra[80], strb[80], strc[80], strd[80],stre[80];
                   9481: 
1.234     brouard  9482:   removefirstspace(&resultline);
1.233     brouard  9483:   printf("decoderesult:%s\n",resultline);
1.230     brouard  9484: 
                   9485:   if (strstr(resultline,"v") !=0){
                   9486:     printf("Error. 'v' must be in upper case 'V' result: %s ",resultline);
                   9487:     fprintf(ficlog,"Error. 'v' must be in upper case result: %s ",resultline);fflush(ficlog);
                   9488:     return 1;
                   9489:   }
                   9490:   trimbb(resultsav, resultline);
                   9491:   if (strlen(resultsav) >1){
                   9492:     j=nbocc(resultsav,'='); /**< j=Number of covariate values'=' */
                   9493:   }
1.253     brouard  9494:   if(j == 0){ /* Resultline but no = */
                   9495:     TKresult[nres]=0; /* Combination for the nresult and the model */
                   9496:     return (0);
                   9497:   }
                   9498:     
1.234     brouard  9499:   if( j != cptcovs ){ /* Be careful if a variable is in a product but not single */
                   9500:     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);
                   9501:     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);
                   9502:   }
                   9503:   for(k=1; k<=j;k++){ /* Loop on any covariate of the result line */
                   9504:     if(nbocc(resultsav,'=') >1){
                   9505:        cutl(stra,strb,resultsav,' '); /* keeps in strb after the first ' ' 
                   9506:                                      resultsav= V4=1 V5=25.1 V3=0 strb=V3=0 stra= V4=1 V5=25.1 */
                   9507:        cutl(strc,strd,strb,'=');  /* strb:V4=1 strc=1 strd=V4 */
                   9508:     }else
                   9509:       cutl(strc,strd,resultsav,'=');
1.230     brouard  9510:     Tvalsel[k]=atof(strc); /* 1 */
1.234     brouard  9511:     
1.230     brouard  9512:     cutl(strc,stre,strd,'V'); /* strd='V4' strc=4 stre='V' */;
                   9513:     Tvarsel[k]=atoi(strc);
                   9514:     /* Typevarsel[k]=1;  /\* 1 for age product *\/ */
                   9515:     /* cptcovsel++;     */
                   9516:     if (nbocc(stra,'=') >0)
                   9517:       strcpy(resultsav,stra); /* and analyzes it */
                   9518:   }
1.235     brouard  9519:   /* Checking for missing or useless values in comparison of current model needs */
1.236     brouard  9520:   for(k1=1; k1<= cptcovt ;k1++){ /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9521:     if(Typevar[k1]==0){ /* Single covariate in model */
1.234     brouard  9522:       match=0;
1.236     brouard  9523:       for(k2=1; k2 <=j;k2++){/* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
1.237     brouard  9524:        if(Tvar[k1]==Tvarsel[k2]) {/* Tvar[1]=5 == Tvarsel[2]=5   */
1.236     brouard  9525:          modelresult[k2]=k1;/* modelresult[2]=1 modelresult[1]=2  modelresult[3]=3  modelresult[6]=4 modelresult[9]=5 */
1.234     brouard  9526:          match=1;
                   9527:          break;
                   9528:        }
                   9529:       }
                   9530:       if(match == 0){
                   9531:        printf("Error in result line: %d value missing; result: %s, model=%s\n",k1, resultline, model);
                   9532:       }
                   9533:     }
                   9534:   }
1.235     brouard  9535:   /* Checking for missing or useless values in comparison of current model needs */
                   9536:   for(k2=1; k2 <=j;k2++){ /* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
1.234     brouard  9537:     match=0;
1.235     brouard  9538:     for(k1=1; k1<= cptcovt ;k1++){ /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9539:       if(Typevar[k1]==0){ /* Single */
1.237     brouard  9540:        if(Tvar[k1]==Tvarsel[k2]) { /* Tvar[2]=4 == Tvarsel[1]=4   */
1.235     brouard  9541:          resultmodel[k1]=k2;  /* resultmodel[2]=1 resultmodel[1]=2  resultmodel[3]=3  resultmodel[6]=4 resultmodel[9]=5 */
1.234     brouard  9542:          ++match;
                   9543:        }
                   9544:       }
                   9545:     }
                   9546:     if(match == 0){
                   9547:       printf("Error in result line: %d value missing; result: %s, model=%s\n",k1, resultline, model);
                   9548:     }else if(match > 1){
                   9549:       printf("Error in result line: %d doubled; result: %s, model=%s\n",k2, resultline, model);
                   9550:     }
                   9551:   }
1.235     brouard  9552:       
1.234     brouard  9553:   /* We need to deduce which combination number is chosen and save quantitative values */
1.235     brouard  9554:   /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9555:   /* result line V4=1 V5=25.1 V3=0  V2=8 V1=1 */
                   9556:   /* should give a combination of dummy V4=1, V3=0, V1=1 => V4*2**(0) + V3*2**(1) + V1*2**(2) = 5 + (1offset) = 6*/
                   9557:   /* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
                   9558:   /* should give a combination of dummy V4=1, V3=1, V1=0 => V4*2**(0) + V3*2**(1) + V1*2**(2) = 3 + (1offset) = 4*/
                   9559:   /*    1 0 0 0 */
                   9560:   /*    2 1 0 0 */
                   9561:   /*    3 0 1 0 */ 
                   9562:   /*    4 1 1 0 */ /* V4=1, V3=1, V1=0 */
                   9563:   /*    5 0 0 1 */
                   9564:   /*    6 1 0 1 */ /* V4=1, V3=0, V1=1 */
                   9565:   /*    7 0 1 1 */
                   9566:   /*    8 1 1 1 */
1.237     brouard  9567:   /* V(Tvresult)=Tresult V4=1 V3=0 V1=1 Tresult[nres=1][2]=0 */
                   9568:   /* V(Tvqresult)=Tqresult V5=25.1 V2=8 Tqresult[nres=1][1]=25.1 */
                   9569:   /* V5*age V5 known which value for nres?  */
                   9570:   /* Tqinvresult[2]=8 Tqinvresult[1]=25.1  */
1.235     brouard  9571:   for(k1=1, k=0, k4=0, k4q=0; k1 <=cptcovt;k1++){ /* model line */
                   9572:     if( Dummy[k1]==0 && Typevar[k1]==0 ){ /* Single dummy */
1.237     brouard  9573:       k3= resultmodel[k1]; /* resultmodel[2(V4)] = 1=k3 */
1.235     brouard  9574:       k2=(int)Tvarsel[k3]; /*  Tvarsel[resultmodel[2]]= Tvarsel[1] = 4=k2 */
                   9575:       k+=Tvalsel[k3]*pow(2,k4);  /*  Tvalsel[1]=1  */
1.237     brouard  9576:       Tresult[nres][k4+1]=Tvalsel[k3];/* Tresult[nres][1]=1(V4=1)  Tresult[nres][2]=0(V3=0) */
                   9577:       Tvresult[nres][k4+1]=(int)Tvarsel[k3];/* Tvresult[nres][1]=4 Tvresult[nres][3]=1 */
                   9578:       Tinvresult[nres][(int)Tvarsel[k3]]=Tvalsel[k3]; /* Tinvresult[nres][4]=1 */
1.235     brouard  9579:       printf("Decoderesult Dummy k=%d, V(k2=V%d)= Tvalsel[%d]=%d, 2**(%d)\n",k, k2, k3, (int)Tvalsel[k3], k4);
                   9580:       k4++;;
                   9581:     }  else if( Dummy[k1]==1 && Typevar[k1]==0 ){ /* Single quantitative */
                   9582:       k3q= resultmodel[k1]; /* resultmodel[2] = 1=k3 */
                   9583:       k2q=(int)Tvarsel[k3q]; /*  Tvarsel[resultmodel[2]]= Tvarsel[1] = 4=k2 */
1.237     brouard  9584:       Tqresult[nres][k4q+1]=Tvalsel[k3q]; /* Tqresult[nres][1]=25.1 */
                   9585:       Tvqresult[nres][k4q+1]=(int)Tvarsel[k3q]; /* Tvqresult[nres][1]=5 */
                   9586:       Tqinvresult[nres][(int)Tvarsel[k3q]]=Tvalsel[k3q]; /* Tqinvresult[nres][5]=25.1 */
1.235     brouard  9587:       printf("Decoderesult Quantitative nres=%d, V(k2q=V%d)= Tvalsel[%d]=%d, Tvarsel[%d]=%f\n",nres, k2q, k3q, Tvarsel[k3q], k3q, Tvalsel[k3q]);
                   9588:       k4q++;;
                   9589:     }
                   9590:   }
1.234     brouard  9591:   
1.235     brouard  9592:   TKresult[nres]=++k; /* Combination for the nresult and the model */
1.230     brouard  9593:   return (0);
                   9594: }
1.235     brouard  9595: 
1.230     brouard  9596: int decodemodel( char model[], int lastobs)
                   9597:  /**< This routine decodes the model and returns:
1.224     brouard  9598:        * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   9599:        * - nagesqr = 1 if age*age in the model, otherwise 0.
                   9600:        * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   9601:        * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
                   9602:        * - cptcovage number of covariates with age*products =2
                   9603:        * - cptcovs number of simple covariates
                   9604:        * - 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
                   9605:        *     which is a new column after the 9 (ncovcol) variables. 
                   9606:        * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
                   9607:        * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   9608:        *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   9609:        * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   9610:        */
1.136     brouard  9611: {
1.238     brouard  9612:   int i, j, k, ks, v;
1.227     brouard  9613:   int  j1, k1, k2, k3, k4;
1.136     brouard  9614:   char modelsav[80];
1.145     brouard  9615:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  9616:   char *strpt;
1.136     brouard  9617: 
1.145     brouard  9618:   /*removespace(model);*/
1.136     brouard  9619:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  9620:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  9621:     if (strstr(model,"AGE") !=0){
1.192     brouard  9622:       printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
                   9623:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
1.136     brouard  9624:       return 1;
                   9625:     }
1.141     brouard  9626:     if (strstr(model,"v") !=0){
                   9627:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   9628:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   9629:       return 1;
                   9630:     }
1.187     brouard  9631:     strcpy(modelsav,model); 
                   9632:     if ((strpt=strstr(model,"age*age")) !=0){
                   9633:       printf(" strpt=%s, model=%s\n",strpt, model);
                   9634:       if(strpt != model){
1.234     brouard  9635:        printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  9636:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  9637:  corresponding column of parameters.\n",model);
1.234     brouard  9638:        fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  9639:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  9640:  corresponding column of parameters.\n",model); fflush(ficlog);
1.234     brouard  9641:        return 1;
1.225     brouard  9642:       }
1.187     brouard  9643:       nagesqr=1;
                   9644:       if (strstr(model,"+age*age") !=0)
1.234     brouard  9645:        substrchaine(modelsav, model, "+age*age");
1.187     brouard  9646:       else if (strstr(model,"age*age+") !=0)
1.234     brouard  9647:        substrchaine(modelsav, model, "age*age+");
1.187     brouard  9648:       else 
1.234     brouard  9649:        substrchaine(modelsav, model, "age*age");
1.187     brouard  9650:     }else
                   9651:       nagesqr=0;
                   9652:     if (strlen(modelsav) >1){
                   9653:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   9654:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
1.224     brouard  9655:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =5-3=2  */
1.187     brouard  9656:       cptcovt= j+1; /* Number of total covariates in the model, not including
1.225     brouard  9657:                     * cst, age and age*age 
                   9658:                     * V1+V1*age+ V3 + V3*V4+age*age=> 3+1=4*/
                   9659:       /* including age products which are counted in cptcovage.
                   9660:        * but the covariates which are products must be treated 
                   9661:        * separately: ncovn=4- 2=2 (V1+V3). */
1.187     brouard  9662:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   9663:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
1.225     brouard  9664:       
                   9665:       
1.187     brouard  9666:       /*   Design
                   9667:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   9668:        *  <          ncovcol=8                >
                   9669:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   9670:        *   k=  1    2      3       4     5       6      7        8
                   9671:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   9672:        *  covar[k,i], value of kth covariate if not including age for individual i:
1.224     brouard  9673:        *       covar[1][i]= (V1), covar[4][i]=(V4), covar[8][i]=(V8)
                   9674:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[2]=1 Tvar[4]=3 Tvar[8]=8
1.187     brouard  9675:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   9676:        *  Tage[++cptcovage]=k
                   9677:        *       if products, new covar are created after ncovcol with k1
                   9678:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   9679:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   9680:        *  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
                   9681:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   9682:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   9683:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   9684:        *  <          ncovcol=8                >
                   9685:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   9686:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   9687:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
                   9688:        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   9689:        * p Tprod[1]@2={                         6, 5}
                   9690:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   9691:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   9692:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                   9693:        *How to reorganize?
                   9694:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   9695:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   9696:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   9697:        * Struct []
                   9698:        */
1.225     brouard  9699:       
1.187     brouard  9700:       /* This loop fills the array Tvar from the string 'model'.*/
                   9701:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   9702:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   9703:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   9704:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   9705:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   9706:       /*       k=1 Tvar[1]=2 (from V2) */
                   9707:       /*       k=5 Tvar[5] */
                   9708:       /* for (k=1; k<=cptcovn;k++) { */
1.198     brouard  9709:       /*       cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.187     brouard  9710:       /*       } */
1.198     brouard  9711:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
1.187     brouard  9712:       /*
                   9713:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
1.227     brouard  9714:       for(k=cptcovt; k>=1;k--){ /**< Number of covariates not including constant and age, neither age*age*/
                   9715:         Tvar[k]=0; Tprod[k]=0; Tposprod[k]=0;
                   9716:       }
1.187     brouard  9717:       cptcovage=0;
                   9718:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
1.234     brouard  9719:        cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
1.225     brouard  9720:                                         modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
1.234     brouard  9721:        if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
                   9722:        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                   9723:        /*scanf("%d",i);*/
                   9724:        if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
                   9725:          cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
                   9726:          if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                   9727:            /* covar is not filled and then is empty */
                   9728:            cptcovprod--;
                   9729:            cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                   9730:            Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
                   9731:            Typevar[k]=1;  /* 1 for age product */
                   9732:            cptcovage++; /* Sums the number of covariates which include age as a product */
                   9733:            Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
                   9734:            /*printf("stre=%s ", stre);*/
                   9735:          } else if (strcmp(strd,"age")==0) { /* or age*Vn */
                   9736:            cptcovprod--;
                   9737:            cutl(stre,strb,strc,'V');
                   9738:            Tvar[k]=atoi(stre);
                   9739:            Typevar[k]=1;  /* 1 for age product */
                   9740:            cptcovage++;
                   9741:            Tage[cptcovage]=k;
                   9742:          } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                   9743:            /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                   9744:            cptcovn++;
                   9745:            cptcovprodnoage++;k1++;
                   9746:            cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                   9747:            Tvar[k]=ncovcol+nqv+ntv+nqtv+k1; /* For model-covariate k tells which data-covariate to use but
                   9748:                                                because this model-covariate is a construction we invent a new column
                   9749:                                                which is after existing variables ncovcol+nqv+ntv+nqtv + k1
                   9750:                                                If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                   9751:                                                Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
                   9752:            Typevar[k]=2;  /* 2 for double fixed dummy covariates */
                   9753:            cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                   9754:            Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
                   9755:            Tposprod[k]=k1; /* Tpsprod[3]=1, Tposprod[2]=5 */
                   9756:            Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                   9757:            Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                   9758:            k2=k2+2;  /* k2 is initialize to -1, We want to store the n and m in Vn*Vm at the end of Tvar */
                   9759:            /* Tvar[cptcovt+k2]=Tvard[k1][1]; /\* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) *\/ */
                   9760:            /* Tvar[cptcovt+k2+1]=Tvard[k1][2];  /\* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) *\/ */
1.225     brouard  9761:             /*ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2, Tvar[3]=5, Tvar[4]=6, cptcovt=5 */
1.234     brouard  9762:            /*                     1  2   3      4     5 | Tvar[5+1)=1, Tvar[7]=2   */
                   9763:            for (i=1; i<=lastobs;i++){
                   9764:              /* Computes the new covariate which is a product of
                   9765:                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                   9766:              covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   9767:            }
                   9768:          } /* End age is not in the model */
                   9769:        } /* End if model includes a product */
                   9770:        else { /* no more sum */
                   9771:          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                   9772:          /*  scanf("%d",i);*/
                   9773:          cutl(strd,strc,strb,'V');
                   9774:          ks++; /**< Number of simple covariates dummy or quantitative, fixe or varying */
                   9775:          cptcovn++; /** V4+V3+V5: V4 and V3 timevarying dummy covariates, V5 timevarying quantitative */
                   9776:          Tvar[k]=atoi(strd);
                   9777:          Typevar[k]=0;  /* 0 for simple covariates */
                   9778:        }
                   9779:        strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
1.223     brouard  9780:                                /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
1.225     brouard  9781:                                  scanf("%d",i);*/
1.187     brouard  9782:       } /* end of loop + on total covariates */
                   9783:     } /* end if strlen(modelsave == 0) age*age might exist */
                   9784:   } /* end if strlen(model == 0) */
1.136     brouard  9785:   
                   9786:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   9787:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
1.225     brouard  9788:   
1.136     brouard  9789:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
1.225     brouard  9790:      printf("cptcovprod=%d ", cptcovprod);
                   9791:      fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
                   9792:      scanf("%d ",i);*/
                   9793: 
                   9794: 
1.230     brouard  9795: /* Until here, decodemodel knows only the grammar (simple, product, age*) of the model but not what kind
                   9796:    of variable (dummy vs quantitative, fixed vs time varying) is behind. But we know the # of each. */
1.226     brouard  9797: /* ncovcol= 1, nqv=1 | ntv=2, nqtv= 1  = 5 possible variables data: 2 fixed 3, varying
                   9798:    model=        V5 + V4 +V3 + V4*V3 + V5*age + V2 + V1*V2 + V1*age + V5*age, V1 is not used saving its place
                   9799:    k =           1    2   3     4       5       6      7      8        9
                   9800:    Tvar[k]=      5    4   3 1+1+2+1+1=6 5       2      7      1        5
                   9801:    Typevar[k]=   0    0   0     2       1       0      2      1        1
1.227     brouard  9802:    Fixed[k]      1    1   1     1       3       0    0 or 2   2        3
                   9803:    Dummy[k]      1    0   0     0       3       1      1      2        3
                   9804:          Tmodelind[combination of covar]=k;
1.225     brouard  9805: */  
                   9806: /* Dispatching between quantitative and time varying covariates */
1.226     brouard  9807:   /* If Tvar[k] >ncovcol it is a product */
1.225     brouard  9808:   /* 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  9809:        /* Computing effective variables, ie used by the model, that is from the cptcovt variables */
1.227     brouard  9810:   printf("Model=%s\n\
                   9811: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   9812: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   9813: 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);
                   9814:   fprintf(ficlog,"Model=%s\n\
                   9815: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   9816: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   9817: 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  9818:   for(k=-1;k<=cptcovt; k++){ Fixed[k]=0; Dummy[k]=0;}
1.234     brouard  9819:   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 */
                   9820:     if (Tvar[k] <=ncovcol && Typevar[k]==0 ){ /* Simple fixed dummy (<=ncovcol) covariates */
1.227     brouard  9821:       Fixed[k]= 0;
                   9822:       Dummy[k]= 0;
1.225     brouard  9823:       ncoveff++;
1.232     brouard  9824:       ncovf++;
1.234     brouard  9825:       nsd++;
                   9826:       modell[k].maintype= FTYPE;
                   9827:       TvarsD[nsd]=Tvar[k];
                   9828:       TvarsDind[nsd]=k;
                   9829:       TvarF[ncovf]=Tvar[k];
                   9830:       TvarFind[ncovf]=k;
                   9831:       TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9832:       TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9833:     }else if( Tvar[k] <=ncovcol &&  Typevar[k]==2){ /* Product of fixed dummy (<=ncovcol) covariates */
                   9834:       Fixed[k]= 0;
                   9835:       Dummy[k]= 0;
                   9836:       ncoveff++;
                   9837:       ncovf++;
                   9838:       modell[k].maintype= FTYPE;
                   9839:       TvarF[ncovf]=Tvar[k];
                   9840:       TvarFind[ncovf]=k;
1.230     brouard  9841:       TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
1.231     brouard  9842:       TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
1.240     brouard  9843:     }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  9844:       Fixed[k]= 0;
                   9845:       Dummy[k]= 1;
1.230     brouard  9846:       nqfveff++;
1.234     brouard  9847:       modell[k].maintype= FTYPE;
                   9848:       modell[k].subtype= FQ;
                   9849:       nsq++;
                   9850:       TvarsQ[nsq]=Tvar[k];
                   9851:       TvarsQind[nsq]=k;
1.232     brouard  9852:       ncovf++;
1.234     brouard  9853:       TvarF[ncovf]=Tvar[k];
                   9854:       TvarFind[ncovf]=k;
1.231     brouard  9855:       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  9856:       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  9857:     }else if( Tvar[k] <=ncovcol+nqv+ntv && Typevar[k]==0){/* Only simple time varying dummy variables */
1.227     brouard  9858:       Fixed[k]= 1;
                   9859:       Dummy[k]= 0;
1.225     brouard  9860:       ntveff++; /* Only simple time varying dummy variable */
1.234     brouard  9861:       modell[k].maintype= VTYPE;
                   9862:       modell[k].subtype= VD;
                   9863:       nsd++;
                   9864:       TvarsD[nsd]=Tvar[k];
                   9865:       TvarsDind[nsd]=k;
                   9866:       ncovv++; /* Only simple time varying variables */
                   9867:       TvarV[ncovv]=Tvar[k];
1.242     brouard  9868:       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  9869:       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 */
                   9870:       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  9871:       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);
                   9872:       printf("Quasi TmodelInvind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv);
1.231     brouard  9873:     }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv  && Typevar[k]==0){ /* Only simple time varying quantitative variable V5*/
1.234     brouard  9874:       Fixed[k]= 1;
                   9875:       Dummy[k]= 1;
                   9876:       nqtveff++;
                   9877:       modell[k].maintype= VTYPE;
                   9878:       modell[k].subtype= VQ;
                   9879:       ncovv++; /* Only simple time varying variables */
                   9880:       nsq++;
                   9881:       TvarsQ[nsq]=Tvar[k];
                   9882:       TvarsQind[nsq]=k;
                   9883:       TvarV[ncovv]=Tvar[k];
1.242     brouard  9884:       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  9885:       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 */
                   9886:       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  9887:       TmodelInvQind[nqtveff]=Tvar[k]- ncovcol-nqv-ntv;/* Only simple time varying quantitative variable */
                   9888:       /* Tmodeliqind[k]=nqtveff;/\* Only simple time varying quantitative variable *\/ */
                   9889:       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  9890:       printf("Quasi TmodelInvQind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv-ntv);
1.227     brouard  9891:     }else if (Typevar[k] == 1) {  /* product with age */
1.234     brouard  9892:       ncova++;
                   9893:       TvarA[ncova]=Tvar[k];
                   9894:       TvarAind[ncova]=k;
1.231     brouard  9895:       if (Tvar[k] <=ncovcol ){ /* Product age with fixed dummy covariatee */
1.240     brouard  9896:        Fixed[k]= 2;
                   9897:        Dummy[k]= 2;
                   9898:        modell[k].maintype= ATYPE;
                   9899:        modell[k].subtype= APFD;
                   9900:        /* ncoveff++; */
1.227     brouard  9901:       }else if( Tvar[k] <=ncovcol+nqv) { /* Remind that product Vn*Vm are added in k*/
1.240     brouard  9902:        Fixed[k]= 2;
                   9903:        Dummy[k]= 3;
                   9904:        modell[k].maintype= ATYPE;
                   9905:        modell[k].subtype= APFQ;                /*      Product age * fixed quantitative */
                   9906:        /* nqfveff++;  /\* Only simple fixed quantitative variable *\/ */
1.227     brouard  9907:       }else if( Tvar[k] <=ncovcol+nqv+ntv ){
1.240     brouard  9908:        Fixed[k]= 3;
                   9909:        Dummy[k]= 2;
                   9910:        modell[k].maintype= ATYPE;
                   9911:        modell[k].subtype= APVD;                /*      Product age * varying dummy */
                   9912:        /* ntveff++; /\* Only simple time varying dummy variable *\/ */
1.227     brouard  9913:       }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv){
1.240     brouard  9914:        Fixed[k]= 3;
                   9915:        Dummy[k]= 3;
                   9916:        modell[k].maintype= ATYPE;
                   9917:        modell[k].subtype= APVQ;                /*      Product age * varying quantitative */
                   9918:        /* nqtveff++;/\* Only simple time varying quantitative variable *\/ */
1.227     brouard  9919:       }
                   9920:     }else if (Typevar[k] == 2) {  /* product without age */
                   9921:       k1=Tposprod[k];
                   9922:       if(Tvard[k1][1] <=ncovcol){
1.240     brouard  9923:        if(Tvard[k1][2] <=ncovcol){
                   9924:          Fixed[k]= 1;
                   9925:          Dummy[k]= 0;
                   9926:          modell[k].maintype= FTYPE;
                   9927:          modell[k].subtype= FPDD;              /*      Product fixed dummy * fixed dummy */
                   9928:          ncovf++; /* Fixed variables without age */
                   9929:          TvarF[ncovf]=Tvar[k];
                   9930:          TvarFind[ncovf]=k;
                   9931:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   9932:          Fixed[k]= 0;  /* or 2 ?*/
                   9933:          Dummy[k]= 1;
                   9934:          modell[k].maintype= FTYPE;
                   9935:          modell[k].subtype= FPDQ;              /*      Product fixed dummy * fixed quantitative */
                   9936:          ncovf++; /* Varying variables without age */
                   9937:          TvarF[ncovf]=Tvar[k];
                   9938:          TvarFind[ncovf]=k;
                   9939:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   9940:          Fixed[k]= 1;
                   9941:          Dummy[k]= 0;
                   9942:          modell[k].maintype= VTYPE;
                   9943:          modell[k].subtype= VPDD;              /*      Product fixed dummy * varying dummy */
                   9944:          ncovv++; /* Varying variables without age */
                   9945:          TvarV[ncovv]=Tvar[k];
                   9946:          TvarVind[ncovv]=k;
                   9947:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   9948:          Fixed[k]= 1;
                   9949:          Dummy[k]= 1;
                   9950:          modell[k].maintype= VTYPE;
                   9951:          modell[k].subtype= VPDQ;              /*      Product fixed dummy * varying quantitative */
                   9952:          ncovv++; /* Varying variables without age */
                   9953:          TvarV[ncovv]=Tvar[k];
                   9954:          TvarVind[ncovv]=k;
                   9955:        }
1.227     brouard  9956:       }else if(Tvard[k1][1] <=ncovcol+nqv){
1.240     brouard  9957:        if(Tvard[k1][2] <=ncovcol){
                   9958:          Fixed[k]= 0;  /* or 2 ?*/
                   9959:          Dummy[k]= 1;
                   9960:          modell[k].maintype= FTYPE;
                   9961:          modell[k].subtype= FPDQ;              /*      Product fixed quantitative * fixed dummy */
                   9962:          ncovf++; /* Fixed variables without age */
                   9963:          TvarF[ncovf]=Tvar[k];
                   9964:          TvarFind[ncovf]=k;
                   9965:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   9966:          Fixed[k]= 1;
                   9967:          Dummy[k]= 1;
                   9968:          modell[k].maintype= VTYPE;
                   9969:          modell[k].subtype= VPDQ;              /*      Product fixed quantitative * varying dummy */
                   9970:          ncovv++; /* Varying variables without age */
                   9971:          TvarV[ncovv]=Tvar[k];
                   9972:          TvarVind[ncovv]=k;
                   9973:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   9974:          Fixed[k]= 1;
                   9975:          Dummy[k]= 1;
                   9976:          modell[k].maintype= VTYPE;
                   9977:          modell[k].subtype= VPQQ;              /*      Product fixed quantitative * varying quantitative */
                   9978:          ncovv++; /* Varying variables without age */
                   9979:          TvarV[ncovv]=Tvar[k];
                   9980:          TvarVind[ncovv]=k;
                   9981:          ncovv++; /* Varying variables without age */
                   9982:          TvarV[ncovv]=Tvar[k];
                   9983:          TvarVind[ncovv]=k;
                   9984:        }
1.227     brouard  9985:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv){
1.240     brouard  9986:        if(Tvard[k1][2] <=ncovcol){
                   9987:          Fixed[k]= 1;
                   9988:          Dummy[k]= 1;
                   9989:          modell[k].maintype= VTYPE;
                   9990:          modell[k].subtype= VPDD;              /*      Product time varying dummy * fixed dummy */
                   9991:          ncovv++; /* Varying variables without age */
                   9992:          TvarV[ncovv]=Tvar[k];
                   9993:          TvarVind[ncovv]=k;
                   9994:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   9995:          Fixed[k]= 1;
                   9996:          Dummy[k]= 1;
                   9997:          modell[k].maintype= VTYPE;
                   9998:          modell[k].subtype= VPDQ;              /*      Product time varying dummy * fixed quantitative */
                   9999:          ncovv++; /* Varying variables without age */
                   10000:          TvarV[ncovv]=Tvar[k];
                   10001:          TvarVind[ncovv]=k;
                   10002:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   10003:          Fixed[k]= 1;
                   10004:          Dummy[k]= 0;
                   10005:          modell[k].maintype= VTYPE;
                   10006:          modell[k].subtype= VPDD;              /*      Product time varying dummy * time varying dummy */
                   10007:          ncovv++; /* Varying variables without age */
                   10008:          TvarV[ncovv]=Tvar[k];
                   10009:          TvarVind[ncovv]=k;
                   10010:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   10011:          Fixed[k]= 1;
                   10012:          Dummy[k]= 1;
                   10013:          modell[k].maintype= VTYPE;
                   10014:          modell[k].subtype= VPDQ;              /*      Product time varying dummy * time varying quantitative */
                   10015:          ncovv++; /* Varying variables without age */
                   10016:          TvarV[ncovv]=Tvar[k];
                   10017:          TvarVind[ncovv]=k;
                   10018:        }
1.227     brouard  10019:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv+nqtv){
1.240     brouard  10020:        if(Tvard[k1][2] <=ncovcol){
                   10021:          Fixed[k]= 1;
                   10022:          Dummy[k]= 1;
                   10023:          modell[k].maintype= VTYPE;
                   10024:          modell[k].subtype= VPDQ;              /*      Product time varying quantitative * fixed dummy */
                   10025:          ncovv++; /* Varying variables without age */
                   10026:          TvarV[ncovv]=Tvar[k];
                   10027:          TvarVind[ncovv]=k;
                   10028:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   10029:          Fixed[k]= 1;
                   10030:          Dummy[k]= 1;
                   10031:          modell[k].maintype= VTYPE;
                   10032:          modell[k].subtype= VPQQ;              /*      Product time varying quantitative * fixed quantitative */
                   10033:          ncovv++; /* Varying variables without age */
                   10034:          TvarV[ncovv]=Tvar[k];
                   10035:          TvarVind[ncovv]=k;
                   10036:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   10037:          Fixed[k]= 1;
                   10038:          Dummy[k]= 1;
                   10039:          modell[k].maintype= VTYPE;
                   10040:          modell[k].subtype= VPDQ;              /*      Product time varying quantitative * time varying dummy */
                   10041:          ncovv++; /* Varying variables without age */
                   10042:          TvarV[ncovv]=Tvar[k];
                   10043:          TvarVind[ncovv]=k;
                   10044:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   10045:          Fixed[k]= 1;
                   10046:          Dummy[k]= 1;
                   10047:          modell[k].maintype= VTYPE;
                   10048:          modell[k].subtype= VPQQ;              /*      Product time varying quantitative * time varying quantitative */
                   10049:          ncovv++; /* Varying variables without age */
                   10050:          TvarV[ncovv]=Tvar[k];
                   10051:          TvarVind[ncovv]=k;
                   10052:        }
1.227     brouard  10053:       }else{
1.240     brouard  10054:        printf("Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
                   10055:        fprintf(ficlog,"Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
                   10056:       } /*end k1*/
1.225     brouard  10057:     }else{
1.226     brouard  10058:       printf("Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]);
                   10059:       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  10060:     }
1.227     brouard  10061:     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  10062:     printf("           modell[%d].maintype=%d, modell[%d].subtype=%d\n",k,modell[k].maintype,k,modell[k].subtype);
1.227     brouard  10063:     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]);
                   10064:   }
                   10065:   /* Searching for doublons in the model */
                   10066:   for(k1=1; k1<= cptcovt;k1++){
                   10067:     for(k2=1; k2 <k1;k2++){
1.285     brouard  10068:       /* if((Typevar[k1]==Typevar[k2]) && (Fixed[Tvar[k1]]==Fixed[Tvar[k2]]) && (Dummy[Tvar[k1]]==Dummy[Tvar[k2]] )){ */
                   10069:       if((Typevar[k1]==Typevar[k2]) && (Fixed[k1]==Fixed[k2]) && (Dummy[k1]==Dummy[k2] )){
1.234     brouard  10070:        if((Typevar[k1] == 0 || Typevar[k1] == 1)){ /* Simple or age product */
                   10071:          if(Tvar[k1]==Tvar[k2]){
1.285     brouard  10072:            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]);
                   10073:            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  10074:            return(1);
                   10075:          }
                   10076:        }else if (Typevar[k1] ==2){
                   10077:          k3=Tposprod[k1];
                   10078:          k4=Tposprod[k2];
                   10079:          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])) ){
                   10080:            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]]);
                   10081:            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);
                   10082:            return(1);
                   10083:          }
                   10084:        }
1.227     brouard  10085:       }
                   10086:     }
1.225     brouard  10087:   }
                   10088:   printf("ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
                   10089:   fprintf(ficlog,"ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
1.234     brouard  10090:   printf("ncovf=%d, ncovv=%d, ncova=%d, nsd=%d, nsq=%d\n",ncovf,ncovv,ncova,nsd,nsq);
                   10091:   fprintf(ficlog,"ncovf=%d, ncovv=%d, ncova=%d, nsd=%d, nsq=%d\n",ncovf,ncovv,ncova,nsd, nsq);
1.137     brouard  10092:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  10093:   /*endread:*/
1.225     brouard  10094:   printf("Exiting decodemodel: ");
                   10095:   return (1);
1.136     brouard  10096: }
                   10097: 
1.169     brouard  10098: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.248     brouard  10099: {/* Check ages at death */
1.136     brouard  10100:   int i, m;
1.218     brouard  10101:   int firstone=0;
                   10102:   
1.136     brouard  10103:   for (i=1; i<=imx; i++) {
                   10104:     for(m=2; (m<= maxwav); m++) {
                   10105:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   10106:        anint[m][i]=9999;
1.216     brouard  10107:        if (s[m][i] != -2) /* Keeping initial status of unknown vital status */
                   10108:          s[m][i]=-1;
1.136     brouard  10109:       }
                   10110:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.260     brouard  10111:        *nberr = *nberr + 1;
1.218     brouard  10112:        if(firstone == 0){
                   10113:          firstone=1;
1.260     brouard  10114:        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  10115:        }
1.262     brouard  10116:        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  10117:        s[m][i]=-1;  /* Droping the death status */
1.136     brouard  10118:       }
                   10119:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  10120:        (*nberr)++;
1.259     brouard  10121:        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  10122:        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  10123:        s[m][i]=-2; /* We prefer to skip it (and to skip it in version 0.8a1 too */
1.136     brouard  10124:       }
                   10125:     }
                   10126:   }
                   10127: 
                   10128:   for (i=1; i<=imx; i++)  {
                   10129:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   10130:     for(m=firstpass; (m<= lastpass); m++){
1.214     brouard  10131:       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  10132:        if (s[m][i] >= nlstate+1) {
1.169     brouard  10133:          if(agedc[i]>0){
                   10134:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  10135:              agev[m][i]=agedc[i];
1.214     brouard  10136:              /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  10137:            }else {
1.136     brouard  10138:              if ((int)andc[i]!=9999){
                   10139:                nbwarn++;
                   10140:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   10141:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   10142:                agev[m][i]=-1;
                   10143:              }
                   10144:            }
1.169     brouard  10145:          } /* agedc > 0 */
1.214     brouard  10146:        } /* end if */
1.136     brouard  10147:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   10148:                                 years but with the precision of a month */
                   10149:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   10150:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   10151:            agev[m][i]=1;
                   10152:          else if(agev[m][i] < *agemin){ 
                   10153:            *agemin=agev[m][i];
                   10154:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   10155:          }
                   10156:          else if(agev[m][i] >*agemax){
                   10157:            *agemax=agev[m][i];
1.156     brouard  10158:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  10159:          }
                   10160:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   10161:          /*     agev[m][i] = age[i]+2*m;*/
1.214     brouard  10162:        } /* en if 9*/
1.136     brouard  10163:        else { /* =9 */
1.214     brouard  10164:          /* printf("Debug num[%d]=%ld s[%d][%d]=%d\n",i,num[i], m,i, s[m][i]); */
1.136     brouard  10165:          agev[m][i]=1;
                   10166:          s[m][i]=-1;
                   10167:        }
                   10168:       }
1.214     brouard  10169:       else if(s[m][i]==0) /*= 0 Unknown */
1.136     brouard  10170:        agev[m][i]=1;
1.214     brouard  10171:       else{
                   10172:        printf("Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   10173:        fprintf(ficlog, "Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   10174:        agev[m][i]=0;
                   10175:       }
                   10176:     } /* End for lastpass */
                   10177:   }
1.136     brouard  10178:     
                   10179:   for (i=1; i<=imx; i++)  {
                   10180:     for(m=firstpass; (m<=lastpass); m++){
                   10181:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  10182:        (*nberr)++;
1.136     brouard  10183:        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);     
                   10184:        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);     
                   10185:        return 1;
                   10186:       }
                   10187:     }
                   10188:   }
                   10189: 
                   10190:   /*for (i=1; i<=imx; i++){
                   10191:   for (m=firstpass; (m<lastpass); m++){
                   10192:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   10193: }
                   10194: 
                   10195: }*/
                   10196: 
                   10197: 
1.139     brouard  10198:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   10199:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  10200: 
                   10201:   return (0);
1.164     brouard  10202:  /* endread:*/
1.136     brouard  10203:     printf("Exiting calandcheckages: ");
                   10204:     return (1);
                   10205: }
                   10206: 
1.172     brouard  10207: #if defined(_MSC_VER)
                   10208: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   10209: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   10210: //#include "stdafx.h"
                   10211: //#include <stdio.h>
                   10212: //#include <tchar.h>
                   10213: //#include <windows.h>
                   10214: //#include <iostream>
                   10215: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   10216: 
                   10217: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   10218: 
                   10219: BOOL IsWow64()
                   10220: {
                   10221:        BOOL bIsWow64 = FALSE;
                   10222: 
                   10223:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   10224:        //  (HANDLE, PBOOL);
                   10225: 
                   10226:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   10227: 
                   10228:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   10229:        const char funcName[] = "IsWow64Process";
                   10230:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   10231:                GetProcAddress(module, funcName);
                   10232: 
                   10233:        if (NULL != fnIsWow64Process)
                   10234:        {
                   10235:                if (!fnIsWow64Process(GetCurrentProcess(),
                   10236:                        &bIsWow64))
                   10237:                        //throw std::exception("Unknown error");
                   10238:                        printf("Unknown error\n");
                   10239:        }
                   10240:        return bIsWow64 != FALSE;
                   10241: }
                   10242: #endif
1.177     brouard  10243: 
1.191     brouard  10244: void syscompilerinfo(int logged)
1.292     brouard  10245: {
                   10246: #include <stdint.h>
                   10247: 
                   10248:   /* #include "syscompilerinfo.h"*/
1.185     brouard  10249:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   10250:    /* /GS /W3 /Gy
                   10251:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   10252:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   10253:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  10254:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   10255:    */ 
                   10256:    /* 64 bits */
1.185     brouard  10257:    /*
                   10258:      /GS /W3 /Gy
                   10259:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   10260:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   10261:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   10262:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   10263:    /* Optimization are useless and O3 is slower than O2 */
                   10264:    /*
                   10265:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   10266:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   10267:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   10268:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   10269:    */
1.186     brouard  10270:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  10271:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   10272:       /PDB:"visual studio
                   10273:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   10274:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   10275:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   10276:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   10277:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   10278:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   10279:       uiAccess='false'"
                   10280:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   10281:       /NOLOGO /TLBID:1
                   10282:    */
1.292     brouard  10283: 
                   10284: 
1.177     brouard  10285: #if defined __INTEL_COMPILER
1.178     brouard  10286: #if defined(__GNUC__)
                   10287:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   10288: #endif
1.177     brouard  10289: #elif defined(__GNUC__) 
1.179     brouard  10290: #ifndef  __APPLE__
1.174     brouard  10291: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  10292: #endif
1.177     brouard  10293:    struct utsname sysInfo;
1.178     brouard  10294:    int cross = CROSS;
                   10295:    if (cross){
                   10296:           printf("Cross-");
1.191     brouard  10297:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  10298:    }
1.174     brouard  10299: #endif
                   10300: 
1.191     brouard  10301:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  10302: #if defined(__clang__)
1.191     brouard  10303:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  10304: #endif
                   10305: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191     brouard  10306:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  10307: #endif
                   10308: #if defined(__GNUC__) || defined(__GNUG__)
1.191     brouard  10309:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  10310: #endif
                   10311: #if defined(__HP_cc) || defined(__HP_aCC)
1.191     brouard  10312:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  10313: #endif
                   10314: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191     brouard  10315:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  10316: #endif
                   10317: #if defined(_MSC_VER)
1.191     brouard  10318:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  10319: #endif
                   10320: #if defined(__PGI)
1.191     brouard  10321:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  10322: #endif
                   10323: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191     brouard  10324:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  10325: #endif
1.191     brouard  10326:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  10327:    
1.167     brouard  10328: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   10329: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   10330:     // Windows (x64 and x86)
1.191     brouard  10331:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  10332: #elif __unix__ // all unices, not all compilers
                   10333:     // Unix
1.191     brouard  10334:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  10335: #elif __linux__
                   10336:     // linux
1.191     brouard  10337:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  10338: #elif __APPLE__
1.174     brouard  10339:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191     brouard  10340:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  10341: #endif
                   10342: 
                   10343: /*  __MINGW32__          */
                   10344: /*  __CYGWIN__  */
                   10345: /* __MINGW64__  */
                   10346: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   10347: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   10348: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   10349: /* _WIN64  // Defined for applications for Win64. */
                   10350: /* _M_X64 // Defined for compilations that target x64 processors. */
                   10351: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  10352: 
1.167     brouard  10353: #if UINTPTR_MAX == 0xffffffff
1.191     brouard  10354:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  10355: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191     brouard  10356:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  10357: #else
1.191     brouard  10358:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  10359: #endif
                   10360: 
1.169     brouard  10361: #if defined(__GNUC__)
                   10362: # if defined(__GNUC_PATCHLEVEL__)
                   10363: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   10364:                             + __GNUC_MINOR__ * 100 \
                   10365:                             + __GNUC_PATCHLEVEL__)
                   10366: # else
                   10367: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   10368:                             + __GNUC_MINOR__ * 100)
                   10369: # endif
1.174     brouard  10370:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191     brouard  10371:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  10372: 
                   10373:    if (uname(&sysInfo) != -1) {
                   10374:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191     brouard  10375:         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  10376:    }
                   10377:    else
                   10378:       perror("uname() error");
1.179     brouard  10379:    //#ifndef __INTEL_COMPILER 
                   10380: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  10381:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191     brouard  10382:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  10383: #endif
1.169     brouard  10384: #endif
1.172     brouard  10385: 
1.286     brouard  10386:    //   void main ()
1.172     brouard  10387:    //   {
1.169     brouard  10388: #if defined(_MSC_VER)
1.174     brouard  10389:    if (IsWow64()){
1.191     brouard  10390:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
                   10391:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  10392:    }
                   10393:    else{
1.191     brouard  10394:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
                   10395:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  10396:    }
1.172     brouard  10397:    //     printf("\nPress Enter to continue...");
                   10398:    //     getchar();
                   10399:    //   }
                   10400: 
1.169     brouard  10401: #endif
                   10402:    
1.167     brouard  10403: 
1.219     brouard  10404: }
1.136     brouard  10405: 
1.219     brouard  10406: int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp){
1.288     brouard  10407:   /*--------------- Prevalence limit  (forward period or forward stable prevalence) --------------*/
1.235     brouard  10408:   int i, j, k, i1, k4=0, nres=0 ;
1.202     brouard  10409:   /* double ftolpl = 1.e-10; */
1.180     brouard  10410:   double age, agebase, agelim;
1.203     brouard  10411:   double tot;
1.180     brouard  10412: 
1.202     brouard  10413:   strcpy(filerespl,"PL_");
                   10414:   strcat(filerespl,fileresu);
                   10415:   if((ficrespl=fopen(filerespl,"w"))==NULL) {
1.288     brouard  10416:     printf("Problem with forward period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   10417:     fprintf(ficlog,"Problem with forward period (stable) prevalence resultfile: %s\n", filerespl);return 1;
1.202     brouard  10418:   }
1.288     brouard  10419:   printf("\nComputing forward period (stable) prevalence: result on file '%s' \n", filerespl);
                   10420:   fprintf(ficlog,"\nComputing forward period (stable) prevalence: result on file '%s' \n", filerespl);
1.202     brouard  10421:   pstamp(ficrespl);
1.288     brouard  10422:   fprintf(ficrespl,"# Forward period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.202     brouard  10423:   fprintf(ficrespl,"#Age ");
                   10424:   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   10425:   fprintf(ficrespl,"\n");
1.180     brouard  10426:   
1.219     brouard  10427:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
1.180     brouard  10428: 
1.219     brouard  10429:   agebase=ageminpar;
                   10430:   agelim=agemaxpar;
1.180     brouard  10431: 
1.227     brouard  10432:   /* i1=pow(2,ncoveff); */
1.234     brouard  10433:   i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
1.219     brouard  10434:   if (cptcovn < 1){i1=1;}
1.180     brouard  10435: 
1.238     brouard  10436:   for(k=1; k<=i1;k++){ /* For each combination k of dummy covariates in the model */
                   10437:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  10438:       if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10439:        continue;
1.235     brouard  10440: 
1.238     brouard  10441:       /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10442:       /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
                   10443:       //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
                   10444:       /* k=k+1; */
                   10445:       /* to clean */
                   10446:       //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   10447:       fprintf(ficrespl,"#******");
                   10448:       printf("#******");
                   10449:       fprintf(ficlog,"#******");
                   10450:       for(j=1;j<=cptcoveff ;j++) {/* all covariates */
                   10451:        fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); /* Here problem for varying dummy*/
                   10452:        printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10453:        fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10454:       }
                   10455:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   10456:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10457:        fprintf(ficrespl," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10458:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10459:       }
                   10460:       fprintf(ficrespl,"******\n");
                   10461:       printf("******\n");
                   10462:       fprintf(ficlog,"******\n");
                   10463:       if(invalidvarcomb[k]){
                   10464:        printf("\nCombination (%d) ignored because no case \n",k); 
                   10465:        fprintf(ficrespl,"#Combination (%d) ignored because no case \n",k); 
                   10466:        fprintf(ficlog,"\nCombination (%d) ignored because no case \n",k); 
                   10467:        continue;
                   10468:       }
1.219     brouard  10469: 
1.238     brouard  10470:       fprintf(ficrespl,"#Age ");
                   10471:       for(j=1;j<=cptcoveff;j++) {
                   10472:        fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10473:       }
                   10474:       for(i=1; i<=nlstate;i++) fprintf(ficrespl,"  %d-%d   ",i,i);
                   10475:       fprintf(ficrespl,"Total Years_to_converge\n");
1.227     brouard  10476:     
1.238     brouard  10477:       for (age=agebase; age<=agelim; age++){
                   10478:        /* for (age=agebase; age<=agebase; age++){ */
                   10479:        prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyearp, k, nres);
                   10480:        fprintf(ficrespl,"%.0f ",age );
                   10481:        for(j=1;j<=cptcoveff;j++)
                   10482:          fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10483:        tot=0.;
                   10484:        for(i=1; i<=nlstate;i++){
                   10485:          tot +=  prlim[i][i];
                   10486:          fprintf(ficrespl," %.5f", prlim[i][i]);
                   10487:        }
                   10488:        fprintf(ficrespl," %.3f %d\n", tot, *ncvyearp);
                   10489:       } /* Age */
                   10490:       /* was end of cptcod */
                   10491:     } /* cptcov */
                   10492:   } /* nres */
1.219     brouard  10493:   return 0;
1.180     brouard  10494: }
                   10495: 
1.218     brouard  10496: 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  10497:        /*--------------- Back Prevalence limit  (backward stable prevalence) --------------*/
1.218     brouard  10498:        
                   10499:        /* Computes the back prevalence limit  for any combination      of covariate values 
                   10500:    * at any age between ageminpar and agemaxpar
                   10501:         */
1.235     brouard  10502:   int i, j, k, i1, nres=0 ;
1.217     brouard  10503:   /* double ftolpl = 1.e-10; */
                   10504:   double age, agebase, agelim;
                   10505:   double tot;
1.218     brouard  10506:   /* double ***mobaverage; */
                   10507:   /* double     **dnewm, **doldm, **dsavm;  /\* for use *\/ */
1.217     brouard  10508: 
                   10509:   strcpy(fileresplb,"PLB_");
                   10510:   strcat(fileresplb,fileresu);
                   10511:   if((ficresplb=fopen(fileresplb,"w"))==NULL) {
1.288     brouard  10512:     printf("Problem with backward prevalence resultfile: %s\n", fileresplb);return 1;
                   10513:     fprintf(ficlog,"Problem with backward prevalence resultfile: %s\n", fileresplb);return 1;
1.217     brouard  10514:   }
1.288     brouard  10515:   printf("Computing backward prevalence: result on file '%s' \n", fileresplb);
                   10516:   fprintf(ficlog,"Computing backward prevalence: result on file '%s' \n", fileresplb);
1.217     brouard  10517:   pstamp(ficresplb);
1.288     brouard  10518:   fprintf(ficresplb,"# Backward prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.217     brouard  10519:   fprintf(ficresplb,"#Age ");
                   10520:   for(i=1; i<=nlstate;i++) fprintf(ficresplb,"%d-%d ",i,i);
                   10521:   fprintf(ficresplb,"\n");
                   10522:   
1.218     brouard  10523:   
                   10524:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   10525:   
                   10526:   agebase=ageminpar;
                   10527:   agelim=agemaxpar;
                   10528:   
                   10529:   
1.227     brouard  10530:   i1=pow(2,cptcoveff);
1.218     brouard  10531:   if (cptcovn < 1){i1=1;}
1.227     brouard  10532:   
1.238     brouard  10533:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   10534:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  10535:      if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10536:        continue;
                   10537:       //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   10538:       fprintf(ficresplb,"#******");
                   10539:       printf("#******");
                   10540:       fprintf(ficlog,"#******");
                   10541:       for(j=1;j<=cptcoveff ;j++) {/* all covariates */
                   10542:        fprintf(ficresplb," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10543:        printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10544:        fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10545:       }
                   10546:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   10547:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10548:        fprintf(ficresplb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10549:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10550:       }
                   10551:       fprintf(ficresplb,"******\n");
                   10552:       printf("******\n");
                   10553:       fprintf(ficlog,"******\n");
                   10554:       if(invalidvarcomb[k]){
                   10555:        printf("\nCombination (%d) ignored because no cases \n",k); 
                   10556:        fprintf(ficresplb,"#Combination (%d) ignored because no cases \n",k); 
                   10557:        fprintf(ficlog,"\nCombination (%d) ignored because no cases \n",k); 
                   10558:        continue;
                   10559:       }
1.218     brouard  10560:     
1.238     brouard  10561:       fprintf(ficresplb,"#Age ");
                   10562:       for(j=1;j<=cptcoveff;j++) {
                   10563:        fprintf(ficresplb,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10564:       }
                   10565:       for(i=1; i<=nlstate;i++) fprintf(ficresplb,"  %d-%d   ",i,i);
                   10566:       fprintf(ficresplb,"Total Years_to_converge\n");
1.218     brouard  10567:     
                   10568:     
1.238     brouard  10569:       for (age=agebase; age<=agelim; age++){
                   10570:        /* for (age=agebase; age<=agebase; age++){ */
                   10571:        if(mobilavproj > 0){
                   10572:          /* bprevalim(bprlim, mobaverage, nlstate, p, age, ageminpar, agemaxpar, oldm, savm, doldm, dsavm, ftolpl, ncvyearp, k); */
                   10573:          /* bprevalim(bprlim, mobaverage, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.242     brouard  10574:          bprevalim(bprlim, mobaverage, nlstate, p, age, ftolpl, ncvyearp, k, nres);
1.238     brouard  10575:        }else if (mobilavproj == 0){
                   10576:          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);
                   10577:          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);
                   10578:          exit(1);
                   10579:        }else{
                   10580:          /* bprevalim(bprlim, probs, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.242     brouard  10581:          bprevalim(bprlim, probs, nlstate, p, age, ftolpl, ncvyearp, k,nres);
1.266     brouard  10582:          /* printf("TOTOT\n"); */
                   10583:           /* exit(1); */
1.238     brouard  10584:        }
                   10585:        fprintf(ficresplb,"%.0f ",age );
                   10586:        for(j=1;j<=cptcoveff;j++)
                   10587:          fprintf(ficresplb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10588:        tot=0.;
                   10589:        for(i=1; i<=nlstate;i++){
                   10590:          tot +=  bprlim[i][i];
                   10591:          fprintf(ficresplb," %.5f", bprlim[i][i]);
                   10592:        }
                   10593:        fprintf(ficresplb," %.3f %d\n", tot, *ncvyearp);
                   10594:       } /* Age */
                   10595:       /* was end of cptcod */
1.255     brouard  10596:       /*fprintf(ficresplb,"\n");*/ /* Seems to be necessary for gnuplot only if two result lines and no covariate. */
1.238     brouard  10597:     } /* end of any combination */
                   10598:   } /* end of nres */  
1.218     brouard  10599:   /* hBijx(p, bage, fage); */
                   10600:   /* fclose(ficrespijb); */
                   10601:   
                   10602:   return 0;
1.217     brouard  10603: }
1.218     brouard  10604:  
1.180     brouard  10605: int hPijx(double *p, int bage, int fage){
                   10606:     /*------------- h Pij x at various ages ------------*/
                   10607: 
                   10608:   int stepsize;
                   10609:   int agelim;
                   10610:   int hstepm;
                   10611:   int nhstepm;
1.235     brouard  10612:   int h, i, i1, j, k, k4, nres=0;
1.180     brouard  10613: 
                   10614:   double agedeb;
                   10615:   double ***p3mat;
                   10616: 
1.201     brouard  10617:     strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
1.180     brouard  10618:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   10619:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   10620:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   10621:     }
                   10622:     printf("Computing pij: result on file '%s' \n", filerespij);
                   10623:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   10624:   
                   10625:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   10626:     /*if (stepm<=24) stepsize=2;*/
                   10627: 
                   10628:     agelim=AGESUP;
                   10629:     hstepm=stepsize*YEARM; /* Every year of age */
                   10630:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
1.218     brouard  10631:                
1.180     brouard  10632:     /* hstepm=1;   aff par mois*/
                   10633:     pstamp(ficrespij);
                   10634:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
1.227     brouard  10635:     i1= pow(2,cptcoveff);
1.218     brouard  10636:                /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10637:                /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   10638:                /*      k=k+1;  */
1.235     brouard  10639:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   10640:     for(k=1; k<=i1;k++){
1.253     brouard  10641:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  10642:        continue;
1.183     brouard  10643:       fprintf(ficrespij,"\n#****** ");
1.227     brouard  10644:       for(j=1;j<=cptcoveff;j++) 
1.198     brouard  10645:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  10646:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   10647:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10648:        fprintf(ficrespij," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10649:       }
1.183     brouard  10650:       fprintf(ficrespij,"******\n");
                   10651:       
                   10652:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   10653:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   10654:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   10655:        
                   10656:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  10657:        
1.183     brouard  10658:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   10659:        oldm=oldms;savm=savms;
1.235     brouard  10660:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k, nres);  
1.183     brouard  10661:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   10662:        for(i=1; i<=nlstate;i++)
                   10663:          for(j=1; j<=nlstate+ndeath;j++)
                   10664:            fprintf(ficrespij," %1d-%1d",i,j);
                   10665:        fprintf(ficrespij,"\n");
                   10666:        for (h=0; h<=nhstepm; h++){
                   10667:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   10668:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  10669:          for(i=1; i<=nlstate;i++)
                   10670:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  10671:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  10672:          fprintf(ficrespij,"\n");
                   10673:        }
1.183     brouard  10674:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   10675:        fprintf(ficrespij,"\n");
                   10676:       }
1.180     brouard  10677:       /*}*/
                   10678:     }
1.218     brouard  10679:     return 0;
1.180     brouard  10680: }
1.218     brouard  10681:  
                   10682:  int hBijx(double *p, int bage, int fage, double ***prevacurrent){
1.217     brouard  10683:     /*------------- h Bij x at various ages ------------*/
                   10684: 
                   10685:   int stepsize;
1.218     brouard  10686:   /* int agelim; */
                   10687:        int ageminl;
1.217     brouard  10688:   int hstepm;
                   10689:   int nhstepm;
1.238     brouard  10690:   int h, i, i1, j, k, nres;
1.218     brouard  10691:        
1.217     brouard  10692:   double agedeb;
                   10693:   double ***p3mat;
1.218     brouard  10694:        
                   10695:   strcpy(filerespijb,"PIJB_");  strcat(filerespijb,fileresu);
                   10696:   if((ficrespijb=fopen(filerespijb,"w"))==NULL) {
                   10697:     printf("Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   10698:     fprintf(ficlog,"Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   10699:   }
                   10700:   printf("Computing pij back: result on file '%s' \n", filerespijb);
                   10701:   fprintf(ficlog,"Computing pij back: result on file '%s' \n", filerespijb);
                   10702:   
                   10703:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   10704:   /*if (stepm<=24) stepsize=2;*/
1.217     brouard  10705:   
1.218     brouard  10706:   /* agelim=AGESUP; */
1.289     brouard  10707:   ageminl=AGEINF; /* was 30 */
1.218     brouard  10708:   hstepm=stepsize*YEARM; /* Every year of age */
                   10709:   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
                   10710:   
                   10711:   /* hstepm=1;   aff par mois*/
                   10712:   pstamp(ficrespijb);
1.255     brouard  10713:   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  10714:   i1= pow(2,cptcoveff);
1.218     brouard  10715:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10716:   /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   10717:   /*   k=k+1;  */
1.238     brouard  10718:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   10719:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  10720:       if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10721:        continue;
                   10722:       fprintf(ficrespijb,"\n#****** ");
                   10723:       for(j=1;j<=cptcoveff;j++)
                   10724:        fprintf(ficrespijb,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10725:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   10726:        fprintf(ficrespijb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10727:       }
                   10728:       fprintf(ficrespijb,"******\n");
1.264     brouard  10729:       if(invalidvarcomb[k]){  /* Is it necessary here? */
1.238     brouard  10730:        fprintf(ficrespijb,"\n#Combination (%d) ignored because no cases \n",k); 
                   10731:        continue;
                   10732:       }
                   10733:       
                   10734:       /* for (agedeb=fage; agedeb>=bage; agedeb--){ /\* If stepm=6 months *\/ */
                   10735:       for (agedeb=bage; agedeb<=fage; agedeb++){ /* If stepm=6 months and estepm=24 (2 years) */
                   10736:        /* nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /\* Typically 20 years = 20*12/6=40 *\/ */
                   10737:        nhstepm=(int) rint((agedeb-ageminl)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */
                   10738:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10, because estepm=24 stepm=6 => hstepm=24/6=4 */
                   10739:        
                   10740:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
                   10741:        
1.266     brouard  10742:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); /* We can't have it at an upper level because of nhstepm */
                   10743:        /* and memory limitations if stepm is small */
                   10744: 
1.238     brouard  10745:        /* oldm=oldms;savm=savms; */
                   10746:        /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
1.267     brouard  10747:        hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm, k, nres);
1.238     brouard  10748:        /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm, dnewm, doldm, dsavm, k); */
1.255     brouard  10749:        fprintf(ficrespijb,"# Cov Agex agex-h hbijx with i,j=");
1.217     brouard  10750:        for(i=1; i<=nlstate;i++)
                   10751:          for(j=1; j<=nlstate+ndeath;j++)
1.238     brouard  10752:            fprintf(ficrespijb," %1d-%1d",i,j);
1.217     brouard  10753:        fprintf(ficrespijb,"\n");
1.238     brouard  10754:        for (h=0; h<=nhstepm; h++){
                   10755:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   10756:          fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb - h*hstepm/YEARM*stepm );
                   10757:          /* fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm ); */
                   10758:          for(i=1; i<=nlstate;i++)
                   10759:            for(j=1; j<=nlstate+ndeath;j++)
                   10760:              fprintf(ficrespijb," %.5f", p3mat[i][j][h]);
                   10761:          fprintf(ficrespijb,"\n");
                   10762:        }
                   10763:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   10764:        fprintf(ficrespijb,"\n");
                   10765:       } /* end age deb */
                   10766:     } /* end combination */
                   10767:   } /* end nres */
1.218     brouard  10768:   return 0;
                   10769:  } /*  hBijx */
1.217     brouard  10770: 
1.180     brouard  10771: 
1.136     brouard  10772: /***********************************************/
                   10773: /**************** Main Program *****************/
                   10774: /***********************************************/
                   10775: 
                   10776: int main(int argc, char *argv[])
                   10777: {
                   10778: #ifdef GSL
                   10779:   const gsl_multimin_fminimizer_type *T;
                   10780:   size_t iteri = 0, it;
                   10781:   int rval = GSL_CONTINUE;
                   10782:   int status = GSL_SUCCESS;
                   10783:   double ssval;
                   10784: #endif
                   10785:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.290     brouard  10786:   int i,j, k, iter=0,m,size=100, cptcod; /* Suppressing because nobs */
                   10787:   /* int i,j, k, n=MAXN,iter=0,m,size=100, cptcod; */
1.209     brouard  10788:   int ncvyear=0; /* Number of years needed for the period prevalence to converge */
1.164     brouard  10789:   int jj, ll, li, lj, lk;
1.136     brouard  10790:   int numlinepar=0; /* Current linenumber of parameter file */
1.197     brouard  10791:   int num_filled;
1.136     brouard  10792:   int itimes;
                   10793:   int NDIM=2;
                   10794:   int vpopbased=0;
1.235     brouard  10795:   int nres=0;
1.258     brouard  10796:   int endishere=0;
1.277     brouard  10797:   int noffset=0;
1.274     brouard  10798:   int ncurrv=0; /* Temporary variable */
                   10799:   
1.164     brouard  10800:   char ca[32], cb[32];
1.136     brouard  10801:   /*  FILE *fichtm; *//* Html File */
                   10802:   /* FILE *ficgp;*/ /*Gnuplot File */
                   10803:   struct stat info;
1.191     brouard  10804:   double agedeb=0.;
1.194     brouard  10805: 
                   10806:   double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
1.219     brouard  10807:   double ageminout=-AGEOVERFLOW,agemaxout=AGEOVERFLOW; /* Smaller Age range redefined after movingaverage */
1.136     brouard  10808: 
1.165     brouard  10809:   double fret;
1.191     brouard  10810:   double dum=0.; /* Dummy variable */
1.136     brouard  10811:   double ***p3mat;
1.218     brouard  10812:   /* double ***mobaverage; */
1.164     brouard  10813: 
                   10814:   char line[MAXLINE];
1.197     brouard  10815:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
                   10816: 
1.234     brouard  10817:   char  modeltemp[MAXLINE];
1.230     brouard  10818:   char resultline[MAXLINE];
                   10819:   
1.136     brouard  10820:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  10821:   char *tok, *val; /* pathtot */
1.290     brouard  10822:   int firstobs=1, lastobs=10; /* nobs = lastobs-firstobs declared globally ;*/
1.195     brouard  10823:   int c,  h , cpt, c2;
1.191     brouard  10824:   int jl=0;
                   10825:   int i1, j1, jk, stepsize=0;
1.194     brouard  10826:   int count=0;
                   10827: 
1.164     brouard  10828:   int *tab; 
1.136     brouard  10829:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
1.296   ! brouard  10830:   /* double anprojd, mprojd, jprojd; /\* For eventual projections *\/ */
        !          10831:   /* double anprojf, mprojf, jprojf; */
        !          10832:   /* double jintmean,mintmean,aintmean;   */
        !          10833:   int prvforecast = 0; /* Might be 1 (date of beginning of projection is a choice or 2 is the dateintmean */
        !          10834:   int prvbackcast = 0; /* Might be 1 (date of beginning of projection is a choice or 2 is the dateintmean */
        !          10835:   double yrfproj= 10.0; /* Number of years of forward projections */
        !          10836:   double yrbproj= 10.0; /* Number of years of backward projections */
        !          10837:   int prevbcast=0; /* defined as global for mlikeli and mle, replacing backcast */
1.136     brouard  10838:   int mobilav=0,popforecast=0;
1.191     brouard  10839:   int hstepm=0, nhstepm=0;
1.136     brouard  10840:   int agemortsup;
                   10841:   float  sumlpop=0.;
                   10842:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   10843:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   10844: 
1.191     brouard  10845:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  10846:   double ftolpl=FTOL;
                   10847:   double **prlim;
1.217     brouard  10848:   double **bprlim;
1.136     brouard  10849:   double ***param; /* Matrix of parameters */
1.251     brouard  10850:   double ***paramstart; /* Matrix of starting parameter values */
                   10851:   double  *p, *pstart; /* p=param[1][1] pstart is for starting values guessed by freqsummary */
1.136     brouard  10852:   double **matcov; /* Matrix of covariance */
1.203     brouard  10853:   double **hess; /* Hessian matrix */
1.136     brouard  10854:   double ***delti3; /* Scale */
                   10855:   double *delti; /* Scale */
                   10856:   double ***eij, ***vareij;
                   10857:   double **varpl; /* Variances of prevalence limits by age */
1.269     brouard  10858: 
1.136     brouard  10859:   double *epj, vepp;
1.164     brouard  10860: 
1.273     brouard  10861:   double dateprev1, dateprev2;
1.296   ! brouard  10862:   double jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000, dateproj1=0, dateproj2=0, dateprojd=0, dateprojf=0;
        !          10863:   double jback1=1,mback1=1,anback1=2000,jback2=1,mback2=1,anback2=2000, dateback1=0, dateback2=0, datebackd=0, datebackf=0;
        !          10864: 
1.217     brouard  10865: 
1.136     brouard  10866:   double **ximort;
1.145     brouard  10867:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  10868:   int *dcwave;
                   10869: 
1.164     brouard  10870:   char z[1]="c";
1.136     brouard  10871: 
                   10872:   /*char  *strt;*/
                   10873:   char strtend[80];
1.126     brouard  10874: 
1.164     brouard  10875: 
1.126     brouard  10876: /*   setlocale (LC_ALL, ""); */
                   10877: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   10878: /*   textdomain (PACKAGE); */
                   10879: /*   setlocale (LC_CTYPE, ""); */
                   10880: /*   setlocale (LC_MESSAGES, ""); */
                   10881: 
                   10882:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  10883:   rstart_time = time(NULL);  
                   10884:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   10885:   start_time = *localtime(&rstart_time);
1.126     brouard  10886:   curr_time=start_time;
1.157     brouard  10887:   /*tml = *localtime(&start_time.tm_sec);*/
                   10888:   /* strcpy(strstart,asctime(&tml)); */
                   10889:   strcpy(strstart,asctime(&start_time));
1.126     brouard  10890: 
                   10891: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  10892: /*  tp.tm_sec = tp.tm_sec +86400; */
                   10893: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  10894: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   10895: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   10896: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  10897: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  10898: /*   strt=asctime(&tmg); */
                   10899: /*   printf("Time(after) =%s",strstart);  */
                   10900: /*  (void) time (&time_value);
                   10901: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   10902: *  tm = *localtime(&time_value);
                   10903: *  strstart=asctime(&tm);
                   10904: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   10905: */
                   10906: 
                   10907:   nberr=0; /* Number of errors and warnings */
                   10908:   nbwarn=0;
1.184     brouard  10909: #ifdef WIN32
                   10910:   _getcwd(pathcd, size);
                   10911: #else
1.126     brouard  10912:   getcwd(pathcd, size);
1.184     brouard  10913: #endif
1.191     brouard  10914:   syscompilerinfo(0);
1.196     brouard  10915:   printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
1.126     brouard  10916:   if(argc <=1){
                   10917:     printf("\nEnter the parameter file name: ");
1.205     brouard  10918:     if(!fgets(pathr,FILENAMELENGTH,stdin)){
                   10919:       printf("ERROR Empty parameter file name\n");
                   10920:       goto end;
                   10921:     }
1.126     brouard  10922:     i=strlen(pathr);
                   10923:     if(pathr[i-1]=='\n')
                   10924:       pathr[i-1]='\0';
1.156     brouard  10925:     i=strlen(pathr);
1.205     brouard  10926:     if(i >= 1 && pathr[i-1]==' ') {/* This may happen when dragging on oS/X! */
1.156     brouard  10927:       pathr[i-1]='\0';
1.205     brouard  10928:     }
                   10929:     i=strlen(pathr);
                   10930:     if( i==0 ){
                   10931:       printf("ERROR Empty parameter file name\n");
                   10932:       goto end;
                   10933:     }
                   10934:     for (tok = pathr; tok != NULL; ){
1.126     brouard  10935:       printf("Pathr |%s|\n",pathr);
                   10936:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   10937:       printf("val= |%s| pathr=%s\n",val,pathr);
                   10938:       strcpy (pathtot, val);
                   10939:       if(pathr[0] == '\0') break; /* Dirty */
                   10940:     }
                   10941:   }
1.281     brouard  10942:   else if (argc<=2){
                   10943:     strcpy(pathtot,argv[1]);
                   10944:   }
1.126     brouard  10945:   else{
                   10946:     strcpy(pathtot,argv[1]);
1.281     brouard  10947:     strcpy(z,argv[2]);
                   10948:     printf("\nargv[2]=%s z=%c\n",argv[2],z[0]);
1.126     brouard  10949:   }
                   10950:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   10951:   /*cygwin_split_path(pathtot,path,optionfile);
                   10952:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   10953:   /* cutv(path,optionfile,pathtot,'\\');*/
                   10954: 
                   10955:   /* Split argv[0], imach program to get pathimach */
                   10956:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   10957:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   10958:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   10959:  /*   strcpy(pathimach,argv[0]); */
                   10960:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   10961:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   10962:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  10963: #ifdef WIN32
                   10964:   _chdir(path); /* Can be a relative path */
                   10965:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   10966: #else
1.126     brouard  10967:   chdir(path); /* Can be a relative path */
1.184     brouard  10968:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   10969: #endif
                   10970:   printf("Current directory %s!\n",pathcd);
1.126     brouard  10971:   strcpy(command,"mkdir ");
                   10972:   strcat(command,optionfilefiname);
                   10973:   if((outcmd=system(command)) != 0){
1.169     brouard  10974:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  10975:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   10976:     /* fclose(ficlog); */
                   10977: /*     exit(1); */
                   10978:   }
                   10979: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   10980: /*     perror("mkdir"); */
                   10981: /*   } */
                   10982: 
                   10983:   /*-------- arguments in the command line --------*/
                   10984: 
1.186     brouard  10985:   /* Main Log file */
1.126     brouard  10986:   strcat(filelog, optionfilefiname);
                   10987:   strcat(filelog,".log");    /* */
                   10988:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   10989:     printf("Problem with logfile %s\n",filelog);
                   10990:     goto end;
                   10991:   }
                   10992:   fprintf(ficlog,"Log filename:%s\n",filelog);
1.197     brouard  10993:   fprintf(ficlog,"Version %s %s",version,fullversion);
1.126     brouard  10994:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   10995:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   10996:  path=%s \n\
                   10997:  optionfile=%s\n\
                   10998:  optionfilext=%s\n\
1.156     brouard  10999:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  11000: 
1.197     brouard  11001:   syscompilerinfo(1);
1.167     brouard  11002: 
1.126     brouard  11003:   printf("Local time (at start):%s",strstart);
                   11004:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   11005:   fflush(ficlog);
                   11006: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  11007: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  11008: 
                   11009:   /* */
                   11010:   strcpy(fileres,"r");
                   11011:   strcat(fileres, optionfilefiname);
1.201     brouard  11012:   strcat(fileresu, optionfilefiname); /* Without r in front */
1.126     brouard  11013:   strcat(fileres,".txt");    /* Other files have txt extension */
1.201     brouard  11014:   strcat(fileresu,".txt");    /* Other files have txt extension */
1.126     brouard  11015: 
1.186     brouard  11016:   /* Main ---------arguments file --------*/
1.126     brouard  11017: 
                   11018:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  11019:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   11020:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  11021:     fflush(ficlog);
1.149     brouard  11022:     /* goto end; */
                   11023:     exit(70); 
1.126     brouard  11024:   }
                   11025: 
                   11026:   strcpy(filereso,"o");
1.201     brouard  11027:   strcat(filereso,fileresu);
1.126     brouard  11028:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   11029:     printf("Problem with Output resultfile: %s\n", filereso);
                   11030:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   11031:     fflush(ficlog);
                   11032:     goto end;
                   11033:   }
1.278     brouard  11034:       /*-------- Rewriting parameter file ----------*/
                   11035:   strcpy(rfileres,"r");    /* "Rparameterfile */
                   11036:   strcat(rfileres,optionfilefiname);    /* Parameter file first name */
                   11037:   strcat(rfileres,".");    /* */
                   11038:   strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   11039:   if((ficres =fopen(rfileres,"w"))==NULL) {
                   11040:     printf("Problem writing new parameter file: %s\n", rfileres);goto end;
                   11041:     fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
                   11042:     fflush(ficlog);
                   11043:     goto end;
                   11044:   }
                   11045:   fprintf(ficres,"#IMaCh %s\n",version);
1.126     brouard  11046: 
1.278     brouard  11047:                                      
1.126     brouard  11048:   /* Reads comments: lines beginning with '#' */
                   11049:   numlinepar=0;
1.277     brouard  11050:   /* Is it a BOM UTF-8 Windows file? */
                   11051:   /* First parameter line */
1.197     brouard  11052:   while(fgets(line, MAXLINE, ficpar)) {
1.277     brouard  11053:     noffset=0;
                   11054:     if( line[0] == (char)0xEF && line[1] == (char)0xBB) /* EF BB BF */
                   11055:     {
                   11056:       noffset=noffset+3;
                   11057:       printf("# File is an UTF8 Bom.\n"); // 0xBF
                   11058:     }
                   11059:     else if( line[0] == (char)0xFE && line[1] == (char)0xFF)
                   11060:     {
                   11061:       noffset=noffset+2;
                   11062:       printf("# File is an UTF16BE BOM file\n");
                   11063:     }
                   11064:     else if( line[0] == 0 && line[1] == 0)
                   11065:     {
                   11066:       if( line[2] == (char)0xFE && line[3] == (char)0xFF){
                   11067:        noffset=noffset+4;
                   11068:        printf("# File is an UTF16BE BOM file\n");
                   11069:       }
                   11070:     } else{
                   11071:       ;/*printf(" Not a BOM file\n");*/
                   11072:     }
                   11073:   
1.197     brouard  11074:     /* If line starts with a # it is a comment */
1.277     brouard  11075:     if (line[noffset] == '#') {
1.197     brouard  11076:       numlinepar++;
                   11077:       fputs(line,stdout);
                   11078:       fputs(line,ficparo);
1.278     brouard  11079:       fputs(line,ficres);
1.197     brouard  11080:       fputs(line,ficlog);
                   11081:       continue;
                   11082:     }else
                   11083:       break;
                   11084:   }
                   11085:   if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                   11086:                        title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
                   11087:     if (num_filled != 5) {
                   11088:       printf("Should be 5 parameters\n");
1.283     brouard  11089:       fprintf(ficlog,"Should be 5 parameters\n");
1.197     brouard  11090:     }
1.126     brouard  11091:     numlinepar++;
1.197     brouard  11092:     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
1.283     brouard  11093:     fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   11094:     fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   11095:     fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
1.197     brouard  11096:   }
                   11097:   /* Second parameter line */
                   11098:   while(fgets(line, MAXLINE, ficpar)) {
1.283     brouard  11099:     /* while(fscanf(ficpar,"%[^\n]", line)) { */
                   11100:     /* If line starts with a # it is a comment. Strangely fgets reads the EOL and fputs doesn't */
1.197     brouard  11101:     if (line[0] == '#') {
                   11102:       numlinepar++;
1.283     brouard  11103:       printf("%s",line);
                   11104:       fprintf(ficres,"%s",line);
                   11105:       fprintf(ficparo,"%s",line);
                   11106:       fprintf(ficlog,"%s",line);
1.197     brouard  11107:       continue;
                   11108:     }else
                   11109:       break;
                   11110:   }
1.223     brouard  11111:   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", \
                   11112:                        &ftol, &stepm, &ncovcol, &nqv, &ntv, &nqtv, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
                   11113:     if (num_filled != 11) {
                   11114:       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  11115:       printf("but line=%s\n",line);
1.283     brouard  11116:       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");
                   11117:       fprintf(ficlog,"but line=%s\n",line);
1.197     brouard  11118:     }
1.286     brouard  11119:     if( lastpass > maxwav){
                   11120:       printf("Error (lastpass = %d) > (maxwav = %d)\n",lastpass, maxwav);
                   11121:       fprintf(ficlog,"Error (lastpass = %d) > (maxwav = %d)\n",lastpass, maxwav);
                   11122:       fflush(ficlog);
                   11123:       goto end;
                   11124:     }
                   11125:       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  11126:     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  11127:     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  11128:     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  11129:   }
1.203     brouard  11130:   /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
1.209     brouard  11131:   /*ftolpl=6.e-4; *//* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
1.197     brouard  11132:   /* Third parameter line */
                   11133:   while(fgets(line, MAXLINE, ficpar)) {
                   11134:     /* If line starts with a # it is a comment */
                   11135:     if (line[0] == '#') {
                   11136:       numlinepar++;
1.283     brouard  11137:       printf("%s",line);
                   11138:       fprintf(ficres,"%s",line);
                   11139:       fprintf(ficparo,"%s",line);
                   11140:       fprintf(ficlog,"%s",line);
1.197     brouard  11141:       continue;
                   11142:     }else
                   11143:       break;
                   11144:   }
1.201     brouard  11145:   if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){
1.279     brouard  11146:     if (num_filled != 1){
                   11147:       printf("ERROR %d: Model should be at minimum 'model=1+age' %s\n",num_filled, line);
                   11148:       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age' %s\n",num_filled, line);
1.197     brouard  11149:       model[0]='\0';
                   11150:       goto end;
                   11151:     }
                   11152:     else{
                   11153:       if (model[0]=='+'){
                   11154:        for(i=1; i<=strlen(model);i++)
                   11155:          modeltemp[i-1]=model[i];
1.201     brouard  11156:        strcpy(model,modeltemp); 
1.197     brouard  11157:       }
                   11158:     }
1.199     brouard  11159:     /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
1.203     brouard  11160:     printf("model=1+age+%s\n",model);fflush(stdout);
1.283     brouard  11161:     fprintf(ficparo,"model=1+age+%s\n",model);fflush(stdout);
                   11162:     fprintf(ficres,"model=1+age+%s\n",model);fflush(stdout);
                   11163:     fprintf(ficlog,"model=1+age+%s\n",model);fflush(stdout);
1.197     brouard  11164:   }
                   11165:   /* 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); */
                   11166:   /* numlinepar=numlinepar+3; /\* In general *\/ */
                   11167:   /* 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  11168:   /* 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); */
                   11169:   /* 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  11170:   fflush(ficlog);
1.190     brouard  11171:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   11172:   if(model[0]=='#'){
1.279     brouard  11173:     printf("Error in 'model' line: model should start with 'model=1+age+' and end without space \n \
                   11174:  'model=1+age+' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age' or \n \
                   11175:  'model=1+age+V1+V2' or 'model=1+age+V1+V2+V1*V2' etc. \n");           \
1.187     brouard  11176:     if(mle != -1){
1.279     brouard  11177:       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  11178:       exit(1);
                   11179:     }
                   11180:   }
1.126     brouard  11181:   while((c=getc(ficpar))=='#' && c!= EOF){
                   11182:     ungetc(c,ficpar);
                   11183:     fgets(line, MAXLINE, ficpar);
                   11184:     numlinepar++;
1.195     brouard  11185:     if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
                   11186:       z[0]=line[1];
                   11187:     }
                   11188:     /* printf("****line [1] = %c \n",line[1]); */
1.141     brouard  11189:     fputs(line, stdout);
                   11190:     //puts(line);
1.126     brouard  11191:     fputs(line,ficparo);
                   11192:     fputs(line,ficlog);
                   11193:   }
                   11194:   ungetc(c,ficpar);
                   11195: 
                   11196:    
1.290     brouard  11197:   covar=matrix(0,NCOVMAX,firstobs,lastobs);  /**< used in readdata */
                   11198:   if(nqv>=1)coqvar=matrix(1,nqv,firstobs,lastobs);  /**< Fixed quantitative covariate */
                   11199:   if(nqtv>=1)cotqvar=ma3x(1,maxwav,1,nqtv,firstobs,lastobs);  /**< Time varying quantitative covariate */
                   11200:   if(ntv+nqtv>=1)cotvar=ma3x(1,maxwav,1,ntv+nqtv,firstobs,lastobs);  /**< Time varying covariate (dummy and quantitative)*/
1.136     brouard  11201:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   11202:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   11203:      v1+v2*age+v2*v3 makes cptcovn = 3
                   11204:   */
                   11205:   if (strlen(model)>1) 
1.187     brouard  11206:     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  11207:   else
1.187     brouard  11208:     ncovmodel=2; /* Constant and age */
1.133     brouard  11209:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   11210:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  11211:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   11212:     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);
                   11213:     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);
                   11214:     fflush(stdout);
                   11215:     fclose (ficlog);
                   11216:     goto end;
                   11217:   }
1.126     brouard  11218:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   11219:   delti=delti3[1][1];
                   11220:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   11221:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
1.247     brouard  11222: /* We could also provide initial parameters values giving by simple logistic regression 
                   11223:  * only one way, that is without matrix product. We will have nlstate maximizations */
                   11224:       /* for(i=1;i<nlstate;i++){ */
                   11225:       /*       /\*reducing xi for 1 to npar to 1 to ncovmodel; *\/ */
                   11226:       /*    mlikeli(ficres,p, ncovmodel, ncovmodel, nlstate, ftol, funcnoprod); */
                   11227:       /* } */
1.126     brouard  11228:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191     brouard  11229:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
                   11230:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  11231:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   11232:     fclose (ficparo);
                   11233:     fclose (ficlog);
                   11234:     goto end;
                   11235:     exit(0);
1.220     brouard  11236:   }  else if(mle==-5) { /* Main Wizard */
1.126     brouard  11237:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.192     brouard  11238:     printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   11239:     fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  11240:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   11241:     matcov=matrix(1,npar,1,npar);
1.203     brouard  11242:     hess=matrix(1,npar,1,npar);
1.220     brouard  11243:   }  else{ /* Begin of mle != -1 or -5 */
1.145     brouard  11244:     /* Read guessed parameters */
1.126     brouard  11245:     /* Reads comments: lines beginning with '#' */
                   11246:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11247:       ungetc(c,ficpar);
                   11248:       fgets(line, MAXLINE, ficpar);
                   11249:       numlinepar++;
1.141     brouard  11250:       fputs(line,stdout);
1.126     brouard  11251:       fputs(line,ficparo);
                   11252:       fputs(line,ficlog);
                   11253:     }
                   11254:     ungetc(c,ficpar);
                   11255:     
                   11256:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
1.251     brouard  11257:     paramstart= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
1.126     brouard  11258:     for(i=1; i <=nlstate; i++){
1.234     brouard  11259:       j=0;
1.126     brouard  11260:       for(jj=1; jj <=nlstate+ndeath; jj++){
1.234     brouard  11261:        if(jj==i) continue;
                   11262:        j++;
1.292     brouard  11263:        while((c=getc(ficpar))=='#' && c!= EOF){
                   11264:          ungetc(c,ficpar);
                   11265:          fgets(line, MAXLINE, ficpar);
                   11266:          numlinepar++;
                   11267:          fputs(line,stdout);
                   11268:          fputs(line,ficparo);
                   11269:          fputs(line,ficlog);
                   11270:        }
                   11271:        ungetc(c,ficpar);
1.234     brouard  11272:        fscanf(ficpar,"%1d%1d",&i1,&j1);
                   11273:        if ((i1 != i) || (j1 != jj)){
                   11274:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
1.126     brouard  11275: It might be a problem of design; if ncovcol and the model are correct\n \
                   11276: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
1.234     brouard  11277:          exit(1);
                   11278:        }
                   11279:        fprintf(ficparo,"%1d%1d",i1,j1);
                   11280:        if(mle==1)
                   11281:          printf("%1d%1d",i,jj);
                   11282:        fprintf(ficlog,"%1d%1d",i,jj);
                   11283:        for(k=1; k<=ncovmodel;k++){
                   11284:          fscanf(ficpar," %lf",&param[i][j][k]);
                   11285:          if(mle==1){
                   11286:            printf(" %lf",param[i][j][k]);
                   11287:            fprintf(ficlog," %lf",param[i][j][k]);
                   11288:          }
                   11289:          else
                   11290:            fprintf(ficlog," %lf",param[i][j][k]);
                   11291:          fprintf(ficparo," %lf",param[i][j][k]);
                   11292:        }
                   11293:        fscanf(ficpar,"\n");
                   11294:        numlinepar++;
                   11295:        if(mle==1)
                   11296:          printf("\n");
                   11297:        fprintf(ficlog,"\n");
                   11298:        fprintf(ficparo,"\n");
1.126     brouard  11299:       }
                   11300:     }  
                   11301:     fflush(ficlog);
1.234     brouard  11302:     
1.251     brouard  11303:     /* Reads parameters values */
1.126     brouard  11304:     p=param[1][1];
1.251     brouard  11305:     pstart=paramstart[1][1];
1.126     brouard  11306:     
                   11307:     /* Reads comments: lines beginning with '#' */
                   11308:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11309:       ungetc(c,ficpar);
                   11310:       fgets(line, MAXLINE, ficpar);
                   11311:       numlinepar++;
1.141     brouard  11312:       fputs(line,stdout);
1.126     brouard  11313:       fputs(line,ficparo);
                   11314:       fputs(line,ficlog);
                   11315:     }
                   11316:     ungetc(c,ficpar);
                   11317: 
                   11318:     for(i=1; i <=nlstate; i++){
                   11319:       for(j=1; j <=nlstate+ndeath-1; j++){
1.234     brouard  11320:        fscanf(ficpar,"%1d%1d",&i1,&j1);
                   11321:        if ( (i1-i) * (j1-j) != 0){
                   11322:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   11323:          exit(1);
                   11324:        }
                   11325:        printf("%1d%1d",i,j);
                   11326:        fprintf(ficparo,"%1d%1d",i1,j1);
                   11327:        fprintf(ficlog,"%1d%1d",i1,j1);
                   11328:        for(k=1; k<=ncovmodel;k++){
                   11329:          fscanf(ficpar,"%le",&delti3[i][j][k]);
                   11330:          printf(" %le",delti3[i][j][k]);
                   11331:          fprintf(ficparo," %le",delti3[i][j][k]);
                   11332:          fprintf(ficlog," %le",delti3[i][j][k]);
                   11333:        }
                   11334:        fscanf(ficpar,"\n");
                   11335:        numlinepar++;
                   11336:        printf("\n");
                   11337:        fprintf(ficparo,"\n");
                   11338:        fprintf(ficlog,"\n");
1.126     brouard  11339:       }
                   11340:     }
                   11341:     fflush(ficlog);
1.234     brouard  11342:     
1.145     brouard  11343:     /* Reads covariance matrix */
1.126     brouard  11344:     delti=delti3[1][1];
1.220     brouard  11345:                
                   11346:                
1.126     brouard  11347:     /* 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  11348:                
1.126     brouard  11349:     /* Reads comments: lines beginning with '#' */
                   11350:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11351:       ungetc(c,ficpar);
                   11352:       fgets(line, MAXLINE, ficpar);
                   11353:       numlinepar++;
1.141     brouard  11354:       fputs(line,stdout);
1.126     brouard  11355:       fputs(line,ficparo);
                   11356:       fputs(line,ficlog);
                   11357:     }
                   11358:     ungetc(c,ficpar);
1.220     brouard  11359:                
1.126     brouard  11360:     matcov=matrix(1,npar,1,npar);
1.203     brouard  11361:     hess=matrix(1,npar,1,npar);
1.131     brouard  11362:     for(i=1; i <=npar; i++)
                   11363:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
1.220     brouard  11364:                
1.194     brouard  11365:     /* Scans npar lines */
1.126     brouard  11366:     for(i=1; i <=npar; i++){
1.226     brouard  11367:       count=fscanf(ficpar,"%1d%1d%d",&i1,&j1,&jk);
1.194     brouard  11368:       if(count != 3){
1.226     brouard  11369:        printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  11370: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   11371: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  11372:        fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  11373: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   11374: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  11375:        exit(1);
1.220     brouard  11376:       }else{
1.226     brouard  11377:        if(mle==1)
                   11378:          printf("%1d%1d%d",i1,j1,jk);
                   11379:       }
                   11380:       fprintf(ficlog,"%1d%1d%d",i1,j1,jk);
                   11381:       fprintf(ficparo,"%1d%1d%d",i1,j1,jk);
1.126     brouard  11382:       for(j=1; j <=i; j++){
1.226     brouard  11383:        fscanf(ficpar," %le",&matcov[i][j]);
                   11384:        if(mle==1){
                   11385:          printf(" %.5le",matcov[i][j]);
                   11386:        }
                   11387:        fprintf(ficlog," %.5le",matcov[i][j]);
                   11388:        fprintf(ficparo," %.5le",matcov[i][j]);
1.126     brouard  11389:       }
                   11390:       fscanf(ficpar,"\n");
                   11391:       numlinepar++;
                   11392:       if(mle==1)
1.220     brouard  11393:                                printf("\n");
1.126     brouard  11394:       fprintf(ficlog,"\n");
                   11395:       fprintf(ficparo,"\n");
                   11396:     }
1.194     brouard  11397:     /* End of read covariance matrix npar lines */
1.126     brouard  11398:     for(i=1; i <=npar; i++)
                   11399:       for(j=i+1;j<=npar;j++)
1.226     brouard  11400:        matcov[i][j]=matcov[j][i];
1.126     brouard  11401:     
                   11402:     if(mle==1)
                   11403:       printf("\n");
                   11404:     fprintf(ficlog,"\n");
                   11405:     
                   11406:     fflush(ficlog);
                   11407:     
                   11408:   }    /* End of mle != -3 */
1.218     brouard  11409:   
1.186     brouard  11410:   /*  Main data
                   11411:    */
1.290     brouard  11412:   nobs=lastobs-firstobs+1; /* was = lastobs;*/
                   11413:   /* num=lvector(1,n); */
                   11414:   /* moisnais=vector(1,n); */
                   11415:   /* annais=vector(1,n); */
                   11416:   /* moisdc=vector(1,n); */
                   11417:   /* andc=vector(1,n); */
                   11418:   /* weight=vector(1,n); */
                   11419:   /* agedc=vector(1,n); */
                   11420:   /* cod=ivector(1,n); */
                   11421:   /* for(i=1;i<=n;i++){ */
                   11422:   num=lvector(firstobs,lastobs);
                   11423:   moisnais=vector(firstobs,lastobs);
                   11424:   annais=vector(firstobs,lastobs);
                   11425:   moisdc=vector(firstobs,lastobs);
                   11426:   andc=vector(firstobs,lastobs);
                   11427:   weight=vector(firstobs,lastobs);
                   11428:   agedc=vector(firstobs,lastobs);
                   11429:   cod=ivector(firstobs,lastobs);
                   11430:   for(i=firstobs;i<=lastobs;i++){
1.234     brouard  11431:     num[i]=0;
                   11432:     moisnais[i]=0;
                   11433:     annais[i]=0;
                   11434:     moisdc[i]=0;
                   11435:     andc[i]=0;
                   11436:     agedc[i]=0;
                   11437:     cod[i]=0;
                   11438:     weight[i]=1.0; /* Equal weights, 1 by default */
                   11439:   }
1.290     brouard  11440:   mint=matrix(1,maxwav,firstobs,lastobs);
                   11441:   anint=matrix(1,maxwav,firstobs,lastobs);
                   11442:   s=imatrix(1,maxwav+1,firstobs,lastobs); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  11443:   tab=ivector(1,NCOVMAX);
1.144     brouard  11444:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.192     brouard  11445:   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  11446: 
1.136     brouard  11447:   /* Reads data from file datafile */
                   11448:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   11449:     goto end;
                   11450: 
                   11451:   /* Calculation of the number of parameters from char model */
1.234     brouard  11452:   /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
1.137     brouard  11453:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   11454:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   11455:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   11456:        k=1 Tvar[1]=2 (from V2)
1.234     brouard  11457:   */
                   11458:   
                   11459:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
                   11460:   TvarsDind=ivector(1,NCOVMAX); /*  */
                   11461:   TvarsD=ivector(1,NCOVMAX); /*  */
                   11462:   TvarsQind=ivector(1,NCOVMAX); /*  */
                   11463:   TvarsQ=ivector(1,NCOVMAX); /*  */
1.232     brouard  11464:   TvarF=ivector(1,NCOVMAX); /*  */
                   11465:   TvarFind=ivector(1,NCOVMAX); /*  */
                   11466:   TvarV=ivector(1,NCOVMAX); /*  */
                   11467:   TvarVind=ivector(1,NCOVMAX); /*  */
                   11468:   TvarA=ivector(1,NCOVMAX); /*  */
                   11469:   TvarAind=ivector(1,NCOVMAX); /*  */
1.231     brouard  11470:   TvarFD=ivector(1,NCOVMAX); /*  */
                   11471:   TvarFDind=ivector(1,NCOVMAX); /*  */
                   11472:   TvarFQ=ivector(1,NCOVMAX); /*  */
                   11473:   TvarFQind=ivector(1,NCOVMAX); /*  */
                   11474:   TvarVD=ivector(1,NCOVMAX); /*  */
                   11475:   TvarVDind=ivector(1,NCOVMAX); /*  */
                   11476:   TvarVQ=ivector(1,NCOVMAX); /*  */
                   11477:   TvarVQind=ivector(1,NCOVMAX); /*  */
                   11478: 
1.230     brouard  11479:   Tvalsel=vector(1,NCOVMAX); /*  */
1.233     brouard  11480:   Tvarsel=ivector(1,NCOVMAX); /*  */
1.226     brouard  11481:   Typevar=ivector(-1,NCOVMAX); /* -1 to 2 */
                   11482:   Fixed=ivector(-1,NCOVMAX); /* -1 to 3 */
                   11483:   Dummy=ivector(-1,NCOVMAX); /* -1 to 3 */
1.137     brouard  11484:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   11485:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   11486:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   11487:   */
                   11488:   /* For model-covariate k tells which data-covariate to use but
                   11489:     because this model-covariate is a construction we invent a new column
                   11490:     ncovcol + k1
                   11491:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   11492:     Tvar[3=V1*V4]=4+1 etc */
1.227     brouard  11493:   Tprod=ivector(1,NCOVMAX); /* Gives the k position of the k1 product */
                   11494:   Tposprod=ivector(1,NCOVMAX); /* Gives the k1 product from the k position */
1.137     brouard  11495:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   11496:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
1.227     brouard  11497:      Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5]=2 
1.137     brouard  11498:   */
1.145     brouard  11499:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   11500:   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  11501:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   11502:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  11503:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  11504:                         4 covariates (3 plus signs)
                   11505:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   11506:                      */  
1.230     brouard  11507:   Tmodelind=ivector(1,NCOVMAX);/** gives the k model position of an
1.227     brouard  11508:                                * individual dummy, fixed or varying:
                   11509:                                * Tmodelind[Tvaraff[3]]=9,Tvaraff[1]@9={4,
                   11510:                                * 3, 1, 0, 0, 0, 0, 0, 0},
1.230     brouard  11511:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 , 
                   11512:                                * V1 df, V2 qf, V3 & V4 dv, V5 qv
                   11513:                                * Tmodelind[1]@9={9,0,3,2,}*/
                   11514:   TmodelInvind=ivector(1,NCOVMAX); /* TmodelInvind=Tvar[k]- ncovcol-nqv={5-2-1=2,*/
                   11515:   TmodelInvQind=ivector(1,NCOVMAX);/** gives the k model position of an
1.228     brouard  11516:                                * individual quantitative, fixed or varying:
                   11517:                                * Tmodelqind[1]=1,Tvaraff[1]@9={4,
                   11518:                                * 3, 1, 0, 0, 0, 0, 0, 0},
                   11519:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
1.186     brouard  11520: /* Main decodemodel */
                   11521: 
1.187     brouard  11522: 
1.223     brouard  11523:   if(decodemodel(model, lastobs) == 1) /* In order to get Tvar[k] V4+V3+V5 p Tvar[1]@3  = {4, 3, 5}*/
1.136     brouard  11524:     goto end;
                   11525: 
1.137     brouard  11526:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   11527:     nbwarn++;
                   11528:     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); 
                   11529:     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); 
                   11530:   }
1.136     brouard  11531:     /*  if(mle==1){*/
1.137     brouard  11532:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   11533:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  11534:   }
                   11535: 
                   11536:     /*-calculation of age at interview from date of interview and age at death -*/
                   11537:   agev=matrix(1,maxwav,1,imx);
                   11538: 
                   11539:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   11540:     goto end;
                   11541: 
1.126     brouard  11542: 
1.136     brouard  11543:   agegomp=(int)agemin;
1.290     brouard  11544:   free_vector(moisnais,firstobs,lastobs);
                   11545:   free_vector(annais,firstobs,lastobs);
1.126     brouard  11546:   /* free_matrix(mint,1,maxwav,1,n);
                   11547:      free_matrix(anint,1,maxwav,1,n);*/
1.215     brouard  11548:   /* free_vector(moisdc,1,n); */
                   11549:   /* free_vector(andc,1,n); */
1.145     brouard  11550:   /* */
                   11551:   
1.126     brouard  11552:   wav=ivector(1,imx);
1.214     brouard  11553:   /* dh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11554:   /* bh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11555:   /* mw=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11556:   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.*/
                   11557:   bh=imatrix(1,lastpass-firstpass+2,1,imx);
                   11558:   mw=imatrix(1,lastpass-firstpass+2,1,imx);
1.126     brouard  11559:    
                   11560:   /* Concatenates waves */
1.214     brouard  11561:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   11562:      Death is a valid wave (if date is known).
                   11563:      mw[mi][i] is the number of (mi=1 to wav[i]) effective wave out of mi of individual i
                   11564:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   11565:      and mw[mi+1][i]. dh depends on stepm.
                   11566:   */
                   11567: 
1.126     brouard  11568:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.248     brouard  11569:   /* Concatenates waves */
1.145     brouard  11570:  
1.290     brouard  11571:   free_vector(moisdc,firstobs,lastobs);
                   11572:   free_vector(andc,firstobs,lastobs);
1.215     brouard  11573: 
1.126     brouard  11574:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   11575:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   11576:   ncodemax[1]=1;
1.145     brouard  11577:   Ndum =ivector(-1,NCOVMAX);  
1.225     brouard  11578:   cptcoveff=0;
1.220     brouard  11579:   if (ncovmodel-nagesqr > 2 ){ /* That is if covariate other than cst, age and age*age */
                   11580:     tricode(&cptcoveff,Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
1.227     brouard  11581:   }
                   11582:   
                   11583:   ncovcombmax=pow(2,cptcoveff);
                   11584:   invalidvarcomb=ivector(1, ncovcombmax); 
                   11585:   for(i=1;i<ncovcombmax;i++)
                   11586:     invalidvarcomb[i]=0;
                   11587:   
1.211     brouard  11588:   /* Nbcode gives the value of the lth modality (currently 1 to 2) of jth covariate, in
1.186     brouard  11589:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
1.211     brouard  11590:   /* 1 to ncodemax[j] which is the maximum value of this jth covariate */
1.227     brouard  11591:   
1.200     brouard  11592:   /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
1.198     brouard  11593:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
1.186     brouard  11594:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.211     brouard  11595:   /* nbcode[Tvaraff[j]][codtabm(h,j)]) : if there are only 2 modalities for a covariate j, 
                   11596:    * codtabm(h,j) gives its value classified at position h and nbcode gives how it is coded 
                   11597:    * (currently 0 or 1) in the data.
                   11598:    * In a loop on h=1 to 2**k, and a loop on j (=1 to k), we get the value of 
                   11599:    * corresponding modality (h,j).
                   11600:    */
                   11601: 
1.145     brouard  11602:   h=0;
                   11603:   /*if (cptcovn > 0) */
1.126     brouard  11604:   m=pow(2,cptcoveff);
                   11605:  
1.144     brouard  11606:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.211     brouard  11607:           * For k=4 covariates, h goes from 1 to m=2**k
                   11608:           * codtabm(h,k)=  (1 & (h-1) >> (k-1)) + 1;
                   11609:            * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.186     brouard  11610:           *     h\k   1     2     3     4
1.143     brouard  11611:           *______________________________  
                   11612:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   11613:           *     2     2     1     1     1
                   11614:           *     3 i=2 1     2     1     1
                   11615:           *     4     2     2     1     1
                   11616:           *     5 i=3 1 i=2 1     2     1
                   11617:           *     6     2     1     2     1
                   11618:           *     7 i=4 1     2     2     1
                   11619:           *     8     2     2     2     1
1.197     brouard  11620:           *     9 i=5 1 i=3 1 i=2 1     2
                   11621:           *    10     2     1     1     2
                   11622:           *    11 i=6 1     2     1     2
                   11623:           *    12     2     2     1     2
                   11624:           *    13 i=7 1 i=4 1     2     2    
                   11625:           *    14     2     1     2     2
                   11626:           *    15 i=8 1     2     2     2
                   11627:           *    16     2     2     2     2
1.143     brouard  11628:           */
1.212     brouard  11629:   /* How to do the opposite? From combination h (=1 to 2**k) how to get the value on the covariates? */
1.211     brouard  11630:      /* from h=5 and m, we get then number of covariates k=log(m)/log(2)=4
                   11631:      * and the value of each covariate?
                   11632:      * V1=1, V2=1, V3=2, V4=1 ?
                   11633:      * h-1=4 and 4 is 0100 or reverse 0010, and +1 is 1121 ok.
                   11634:      * h=6, 6-1=5, 5 is 0101, 1010, 2121, V1=2nd, V2=1st, V3=2nd, V4=1st.
                   11635:      * In order to get the real value in the data, we use nbcode
                   11636:      * nbcode[Tvar[3][2nd]]=1 and nbcode[Tvar[4][1]]=0
                   11637:      * We are keeping this crazy system in order to be able (in the future?) 
                   11638:      * to have more than 2 values (0 or 1) for a covariate.
                   11639:      * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
                   11640:      * h=6, k=2? h-1=5=0101, reverse 1010, +1=2121, k=2nd position: value is 1: codtabm(6,2)=1
                   11641:      *              bbbbbbbb
                   11642:      *              76543210     
                   11643:      *   h-1        00000101 (6-1=5)
1.219     brouard  11644:      *(h-1)>>(k-1)= 00000010 >> (2-1) = 1 right shift
1.211     brouard  11645:      *           &
                   11646:      *     1        00000001 (1)
1.219     brouard  11647:      *              00000000        = 1 & ((h-1) >> (k-1))
                   11648:      *          +1= 00000001 =1 
1.211     brouard  11649:      *
                   11650:      * h=14, k=3 => h'=h-1=13, k'=k-1=2
                   11651:      *          h'      1101 =2^3+2^2+0x2^1+2^0
                   11652:      *    >>k'            11
                   11653:      *          &   00000001
                   11654:      *            = 00000001
                   11655:      *      +1    = 00000010=2    =  codtabm(14,3)   
                   11656:      * Reverse h=6 and m=16?
                   11657:      * cptcoveff=log(16)/log(2)=4 covariate: 6-1=5=0101 reversed=1010 +1=2121 =>V1=2, V2=1, V3=2, V4=1.
                   11658:      * for (j=1 to cptcoveff) Vj=decodtabm(j,h,cptcoveff)
                   11659:      * decodtabm(h,j,cptcoveff)= (((h-1) >> (j-1)) & 1) +1 
                   11660:      * decodtabm(h,j,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (j-1)) & 1) +1 : -1)
                   11661:      * V3=decodtabm(14,3,2**4)=2
                   11662:      *          h'=13   1101 =2^3+2^2+0x2^1+2^0
                   11663:      *(h-1) >> (j-1)    0011 =13 >> 2
                   11664:      *          &1 000000001
                   11665:      *           = 000000001
                   11666:      *         +1= 000000010 =2
                   11667:      *                  2211
                   11668:      *                  V1=1+1, V2=0+1, V3=1+1, V4=1+1
                   11669:      *                  V3=2
1.220     brouard  11670:                 * codtabm and decodtabm are identical
1.211     brouard  11671:      */
                   11672: 
1.145     brouard  11673: 
                   11674:  free_ivector(Ndum,-1,NCOVMAX);
                   11675: 
                   11676: 
1.126     brouard  11677:     
1.186     brouard  11678:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  11679:   strcpy(optionfilegnuplot,optionfilefiname);
                   11680:   if(mle==-3)
1.201     brouard  11681:     strcat(optionfilegnuplot,"-MORT_");
1.126     brouard  11682:   strcat(optionfilegnuplot,".gp");
                   11683: 
                   11684:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   11685:     printf("Problem with file %s",optionfilegnuplot);
                   11686:   }
                   11687:   else{
1.204     brouard  11688:     fprintf(ficgp,"\n# IMaCh-%s\n", version); 
1.126     brouard  11689:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  11690:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   11691:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  11692:   }
                   11693:   /*  fclose(ficgp);*/
1.186     brouard  11694: 
                   11695: 
                   11696:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  11697: 
                   11698:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   11699:   if(mle==-3)
1.201     brouard  11700:     strcat(optionfilehtm,"-MORT_");
1.126     brouard  11701:   strcat(optionfilehtm,".htm");
                   11702:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  11703:     printf("Problem with %s \n",optionfilehtm);
                   11704:     exit(0);
1.126     brouard  11705:   }
                   11706: 
                   11707:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   11708:   strcat(optionfilehtmcov,"-cov.htm");
                   11709:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   11710:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   11711:   }
                   11712:   else{
                   11713:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   11714: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  11715: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.126     brouard  11716:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   11717:   }
                   11718: 
1.213     brouard  11719:   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  11720: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   11721: <font size=\"2\">IMaCh-%s <br> %s</font> \
1.126     brouard  11722: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  11723: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n\
1.126     brouard  11724: \n\
                   11725: <hr  size=\"2\" color=\"#EC5E5E\">\
                   11726:  <ul><li><h4>Parameter files</h4>\n\
                   11727:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   11728:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   11729:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   11730:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   11731:  - Date and time at start: %s</ul>\n",\
                   11732:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   11733:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   11734:          fileres,fileres,\
                   11735:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   11736:   fflush(fichtm);
                   11737: 
                   11738:   strcpy(pathr,path);
                   11739:   strcat(pathr,optionfilefiname);
1.184     brouard  11740: #ifdef WIN32
                   11741:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   11742: #else
1.126     brouard  11743:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  11744: #endif
                   11745:          
1.126     brouard  11746:   
1.220     brouard  11747:   /* Calculates basic frequencies. Computes observed prevalence at single age 
                   11748:                 and for any valid combination of covariates
1.126     brouard  11749:      and prints on file fileres'p'. */
1.251     brouard  11750:   freqsummary(fileres, p, pstart, agemin, agemax, s, agev, nlstate, imx, Tvaraff, invalidvarcomb, nbcode, ncodemax,mint,anint,strstart, \
1.227     brouard  11751:              firstpass, lastpass,  stepm,  weightopt, model);
1.126     brouard  11752: 
                   11753:   fprintf(fichtm,"\n");
1.286     brouard  11754:   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  11755:          ftol, stepm);
                   11756:   fprintf(fichtm,"\n<li>Number of fixed dummy covariates: ncovcol=%d ", ncovcol);
                   11757:   ncurrv=1;
                   11758:   for(i=ncurrv; i <=ncovcol; i++) fprintf(fichtm,"V%d ", i);
                   11759:   fprintf(fichtm,"\n<li> Number of fixed quantitative variables: nqv=%d ", nqv); 
                   11760:   ncurrv=i;
                   11761:   for(i=ncurrv; i <=ncurrv-1+nqv; i++) fprintf(fichtm,"V%d ", i);
1.290     brouard  11762:   fprintf(fichtm,"\n<li> Number of time varying (wave varying) dummy covariates: ntv=%d ", ntv);
1.274     brouard  11763:   ncurrv=i;
                   11764:   for(i=ncurrv; i <=ncurrv-1+ntv; i++) fprintf(fichtm,"V%d ", i);
1.290     brouard  11765:   fprintf(fichtm,"\n<li>Number of time varying  quantitative covariates: nqtv=%d ", nqtv);
1.274     brouard  11766:   ncurrv=i;
                   11767:   for(i=ncurrv; i <=ncurrv-1+nqtv; i++) fprintf(fichtm,"V%d ", i);
                   11768:   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", \
                   11769:           nlstate, ndeath, maxwav, mle, weightopt);
                   11770: 
                   11771:   fprintf(fichtm,"<h4> Diagram of states <a href=\"%s_.svg\">%s_.svg</a></h4> \n\
                   11772: <img src=\"%s_.svg\">", subdirf2(optionfilefiname,"D_"),subdirf2(optionfilefiname,"D_"),subdirf2(optionfilefiname,"D_"));
                   11773: 
                   11774:   
                   11775:   fprintf(fichtm,"\n<h4>Some descriptive statistics </h4>\n<br>Total number of observations=%d <br>\n\
1.126     brouard  11776: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   11777: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
1.274     brouard  11778:   imx,agemin,agemax,jmin,jmax,jmean);
1.126     brouard  11779:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
1.268     brouard  11780:   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   11781:   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   11782:   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   11783:   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
1.218     brouard  11784: 
1.126     brouard  11785:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   11786:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   11787:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   11788: 
                   11789:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  11790:   /* For mortality only */
1.126     brouard  11791:   if (mle==-3){
1.136     brouard  11792:     ximort=matrix(1,NDIM,1,NDIM); 
1.248     brouard  11793:     for(i=1;i<=NDIM;i++)
                   11794:       for(j=1;j<=NDIM;j++)
                   11795:        ximort[i][j]=0.;
1.186     brouard  11796:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.290     brouard  11797:     cens=ivector(firstobs,lastobs);
                   11798:     ageexmed=vector(firstobs,lastobs);
                   11799:     agecens=vector(firstobs,lastobs);
                   11800:     dcwave=ivector(firstobs,lastobs);
1.223     brouard  11801:                
1.126     brouard  11802:     for (i=1; i<=imx; i++){
                   11803:       dcwave[i]=-1;
                   11804:       for (m=firstpass; m<=lastpass; m++)
1.226     brouard  11805:        if (s[m][i]>nlstate) {
                   11806:          dcwave[i]=m;
                   11807:          /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
                   11808:          break;
                   11809:        }
1.126     brouard  11810:     }
1.226     brouard  11811:     
1.126     brouard  11812:     for (i=1; i<=imx; i++) {
                   11813:       if (wav[i]>0){
1.226     brouard  11814:        ageexmed[i]=agev[mw[1][i]][i];
                   11815:        j=wav[i];
                   11816:        agecens[i]=1.; 
                   11817:        
                   11818:        if (ageexmed[i]> 1 && wav[i] > 0){
                   11819:          agecens[i]=agev[mw[j][i]][i];
                   11820:          cens[i]= 1;
                   11821:        }else if (ageexmed[i]< 1) 
                   11822:          cens[i]= -1;
                   11823:        if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
                   11824:          cens[i]=0 ;
1.126     brouard  11825:       }
                   11826:       else cens[i]=-1;
                   11827:     }
                   11828:     
                   11829:     for (i=1;i<=NDIM;i++) {
                   11830:       for (j=1;j<=NDIM;j++)
1.226     brouard  11831:        ximort[i][j]=(i == j ? 1.0 : 0.0);
1.126     brouard  11832:     }
                   11833:     
1.145     brouard  11834:     /*p[1]=0.0268; p[NDIM]=0.083;*/
1.126     brouard  11835:     /*printf("%lf %lf", p[1], p[2]);*/
                   11836:     
                   11837:     
1.136     brouard  11838: #ifdef GSL
                   11839:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  11840: #else
1.126     brouard  11841:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  11842: #endif
1.201     brouard  11843:     strcpy(filerespow,"POW-MORT_"); 
                   11844:     strcat(filerespow,fileresu);
1.126     brouard  11845:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   11846:       printf("Problem with resultfile: %s\n", filerespow);
                   11847:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   11848:     }
1.136     brouard  11849: #ifdef GSL
                   11850:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  11851: #else
1.126     brouard  11852:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  11853: #endif
1.126     brouard  11854:     /*  for (i=1;i<=nlstate;i++)
                   11855:        for(j=1;j<=nlstate+ndeath;j++)
                   11856:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   11857:     */
                   11858:     fprintf(ficrespow,"\n");
1.136     brouard  11859: #ifdef GSL
                   11860:     /* gsl starts here */ 
                   11861:     T = gsl_multimin_fminimizer_nmsimplex;
                   11862:     gsl_multimin_fminimizer *sfm = NULL;
                   11863:     gsl_vector *ss, *x;
                   11864:     gsl_multimin_function minex_func;
                   11865: 
                   11866:     /* Initial vertex size vector */
                   11867:     ss = gsl_vector_alloc (NDIM);
                   11868:     
                   11869:     if (ss == NULL){
                   11870:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   11871:     }
                   11872:     /* Set all step sizes to 1 */
                   11873:     gsl_vector_set_all (ss, 0.001);
                   11874: 
                   11875:     /* Starting point */
1.126     brouard  11876:     
1.136     brouard  11877:     x = gsl_vector_alloc (NDIM);
                   11878:     
                   11879:     if (x == NULL){
                   11880:       gsl_vector_free(ss);
                   11881:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   11882:     }
                   11883:   
                   11884:     /* Initialize method and iterate */
                   11885:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  11886:     /*     gsl_vector_set(x, 0, 0.0268); */
                   11887:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  11888:     gsl_vector_set(x, 0, p[1]);
                   11889:     gsl_vector_set(x, 1, p[2]);
                   11890: 
                   11891:     minex_func.f = &gompertz_f;
                   11892:     minex_func.n = NDIM;
                   11893:     minex_func.params = (void *)&p; /* ??? */
                   11894:     
                   11895:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   11896:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   11897:     
                   11898:     printf("Iterations beginning .....\n\n");
                   11899:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   11900: 
                   11901:     iteri=0;
                   11902:     while (rval == GSL_CONTINUE){
                   11903:       iteri++;
                   11904:       status = gsl_multimin_fminimizer_iterate(sfm);
                   11905:       
                   11906:       if (status) printf("error: %s\n", gsl_strerror (status));
                   11907:       fflush(0);
                   11908:       
                   11909:       if (status) 
                   11910:         break;
                   11911:       
                   11912:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   11913:       ssval = gsl_multimin_fminimizer_size (sfm);
                   11914:       
                   11915:       if (rval == GSL_SUCCESS)
                   11916:         printf ("converged to a local maximum at\n");
                   11917:       
                   11918:       printf("%5d ", iteri);
                   11919:       for (it = 0; it < NDIM; it++){
                   11920:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   11921:       }
                   11922:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   11923:     }
                   11924:     
                   11925:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   11926:     
                   11927:     gsl_vector_free(x); /* initial values */
                   11928:     gsl_vector_free(ss); /* inital step size */
                   11929:     for (it=0; it<NDIM; it++){
                   11930:       p[it+1]=gsl_vector_get(sfm->x,it);
                   11931:       fprintf(ficrespow," %.12lf", p[it]);
                   11932:     }
                   11933:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   11934: #endif
                   11935: #ifdef POWELL
                   11936:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   11937: #endif  
1.126     brouard  11938:     fclose(ficrespow);
                   11939:     
1.203     brouard  11940:     hesscov(matcov, hess, p, NDIM, delti, 1e-4, gompertz); 
1.126     brouard  11941: 
                   11942:     for(i=1; i <=NDIM; i++)
                   11943:       for(j=i+1;j<=NDIM;j++)
1.220     brouard  11944:                                matcov[i][j]=matcov[j][i];
1.126     brouard  11945:     
                   11946:     printf("\nCovariance matrix\n ");
1.203     brouard  11947:     fprintf(ficlog,"\nCovariance matrix\n ");
1.126     brouard  11948:     for(i=1; i <=NDIM; i++) {
                   11949:       for(j=1;j<=NDIM;j++){ 
1.220     brouard  11950:                                printf("%f ",matcov[i][j]);
                   11951:                                fprintf(ficlog,"%f ",matcov[i][j]);
1.126     brouard  11952:       }
1.203     brouard  11953:       printf("\n ");  fprintf(ficlog,"\n ");
1.126     brouard  11954:     }
                   11955:     
                   11956:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
1.193     brouard  11957:     for (i=1;i<=NDIM;i++) {
1.126     brouard  11958:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.193     brouard  11959:       fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   11960:     }
1.126     brouard  11961:     lsurv=vector(1,AGESUP);
                   11962:     lpop=vector(1,AGESUP);
                   11963:     tpop=vector(1,AGESUP);
                   11964:     lsurv[agegomp]=100000;
                   11965:     
                   11966:     for (k=agegomp;k<=AGESUP;k++) {
                   11967:       agemortsup=k;
                   11968:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   11969:     }
                   11970:     
                   11971:     for (k=agegomp;k<agemortsup;k++)
                   11972:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   11973:     
                   11974:     for (k=agegomp;k<agemortsup;k++){
                   11975:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   11976:       sumlpop=sumlpop+lpop[k];
                   11977:     }
                   11978:     
                   11979:     tpop[agegomp]=sumlpop;
                   11980:     for (k=agegomp;k<(agemortsup-3);k++){
                   11981:       /*  tpop[k+1]=2;*/
                   11982:       tpop[k+1]=tpop[k]-lpop[k];
                   11983:     }
                   11984:     
                   11985:     
                   11986:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   11987:     for (k=agegomp;k<(agemortsup-2);k++) 
                   11988:       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]);
                   11989:     
                   11990:     
                   11991:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.220     brouard  11992:                ageminpar=50;
                   11993:                agemaxpar=100;
1.194     brouard  11994:     if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
                   11995:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   11996: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   11997: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   11998:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   11999: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12000: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  12001:     }else{
                   12002:                        printf("Warning! ageminpar %f and agemaxpar %f have been fixed because for simplification until it is fixed...\n\n",ageminpar,agemaxpar);
                   12003:                        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  12004:       printinggnuplotmort(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
1.220     brouard  12005:                }
1.201     brouard  12006:     printinghtmlmort(fileresu,title,datafile, firstpass, lastpass, \
1.126     brouard  12007:                     stepm, weightopt,\
                   12008:                     model,imx,p,matcov,agemortsup);
                   12009:     
                   12010:     free_vector(lsurv,1,AGESUP);
                   12011:     free_vector(lpop,1,AGESUP);
                   12012:     free_vector(tpop,1,AGESUP);
1.220     brouard  12013:     free_matrix(ximort,1,NDIM,1,NDIM);
1.290     brouard  12014:     free_ivector(dcwave,firstobs,lastobs);
                   12015:     free_vector(agecens,firstobs,lastobs);
                   12016:     free_vector(ageexmed,firstobs,lastobs);
                   12017:     free_ivector(cens,firstobs,lastobs);
1.220     brouard  12018: #ifdef GSL
1.136     brouard  12019: #endif
1.186     brouard  12020:   } /* Endof if mle==-3 mortality only */
1.205     brouard  12021:   /* Standard  */
                   12022:   else{ /* For mle !=- 3, could be 0 or 1 or 4 etc. */
                   12023:     globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   12024:     /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
1.132     brouard  12025:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  12026:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   12027:     for (k=1; k<=npar;k++)
                   12028:       printf(" %d %8.5f",k,p[k]);
                   12029:     printf("\n");
1.205     brouard  12030:     if(mle>=1){ /* Could be 1 or 2, Real Maximization */
                   12031:       /* mlikeli uses func not funcone */
1.247     brouard  12032:       /* for(i=1;i<nlstate;i++){ */
                   12033:       /*       /\*reducing xi for 1 to npar to 1 to ncovmodel; *\/ */
                   12034:       /*    mlikeli(ficres,p, ncovmodel, ncovmodel, nlstate, ftol, funcnoprod); */
                   12035:       /* } */
1.205     brouard  12036:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
                   12037:     }
                   12038:     if(mle==0) {/* No optimization, will print the likelihoods for the datafile */
                   12039:       globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   12040:       /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
                   12041:       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   12042:     }
                   12043:     globpr=1; /* again, to print the individual contributions using computed gpimx and gsw */
1.126     brouard  12044:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   12045:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   12046:     for (k=1; k<=npar;k++)
                   12047:       printf(" %d %8.5f",k,p[k]);
                   12048:     printf("\n");
                   12049:     
                   12050:     /*--------- results files --------------*/
1.283     brouard  12051:     /* 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  12052:     
                   12053:     
                   12054:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   12055:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   12056:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   12057:     for(i=1,jk=1; i <=nlstate; i++){
                   12058:       for(k=1; k <=(nlstate+ndeath); k++){
1.225     brouard  12059:        if (k != i) {
                   12060:          printf("%d%d ",i,k);
                   12061:          fprintf(ficlog,"%d%d ",i,k);
                   12062:          fprintf(ficres,"%1d%1d ",i,k);
                   12063:          for(j=1; j <=ncovmodel; j++){
                   12064:            printf("%12.7f ",p[jk]);
                   12065:            fprintf(ficlog,"%12.7f ",p[jk]);
                   12066:            fprintf(ficres,"%12.7f ",p[jk]);
                   12067:            jk++; 
                   12068:          }
                   12069:          printf("\n");
                   12070:          fprintf(ficlog,"\n");
                   12071:          fprintf(ficres,"\n");
                   12072:        }
1.126     brouard  12073:       }
                   12074:     }
1.203     brouard  12075:     if(mle != 0){
                   12076:       /* Computing hessian and covariance matrix only at a peak of the Likelihood, that is after optimization */
1.126     brouard  12077:       ftolhess=ftol; /* Usually correct */
1.203     brouard  12078:       hesscov(matcov, hess, p, npar, delti, ftolhess, func);
                   12079:       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");
                   12080:       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");
                   12081:       for(i=1,jk=1; i <=nlstate; i++){
1.225     brouard  12082:        for(k=1; k <=(nlstate+ndeath); k++){
                   12083:          if (k != i) {
                   12084:            printf("%d%d ",i,k);
                   12085:            fprintf(ficlog,"%d%d ",i,k);
                   12086:            for(j=1; j <=ncovmodel; j++){
                   12087:              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]));
                   12088:              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]));
                   12089:              jk++; 
                   12090:            }
                   12091:            printf("\n");
                   12092:            fprintf(ficlog,"\n");
                   12093:          }
                   12094:        }
1.193     brouard  12095:       }
1.203     brouard  12096:     } /* end of hesscov and Wald tests */
1.225     brouard  12097:     
1.203     brouard  12098:     /*  */
1.126     brouard  12099:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   12100:     printf("# Scales (for hessian or gradient estimation)\n");
                   12101:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   12102:     for(i=1,jk=1; i <=nlstate; i++){
                   12103:       for(j=1; j <=nlstate+ndeath; j++){
1.225     brouard  12104:        if (j!=i) {
                   12105:          fprintf(ficres,"%1d%1d",i,j);
                   12106:          printf("%1d%1d",i,j);
                   12107:          fprintf(ficlog,"%1d%1d",i,j);
                   12108:          for(k=1; k<=ncovmodel;k++){
                   12109:            printf(" %.5e",delti[jk]);
                   12110:            fprintf(ficlog," %.5e",delti[jk]);
                   12111:            fprintf(ficres," %.5e",delti[jk]);
                   12112:            jk++;
                   12113:          }
                   12114:          printf("\n");
                   12115:          fprintf(ficlog,"\n");
                   12116:          fprintf(ficres,"\n");
                   12117:        }
1.126     brouard  12118:       }
                   12119:     }
                   12120:     
                   12121:     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  12122:     if(mle >= 1) /* To big for the screen */
1.126     brouard  12123:       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");
                   12124:     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");
                   12125:     /* # 121 Var(a12)\n\ */
                   12126:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   12127:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   12128:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   12129:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   12130:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   12131:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   12132:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   12133:     
                   12134:     
                   12135:     /* Just to have a covariance matrix which will be more understandable
                   12136:        even is we still don't want to manage dictionary of variables
                   12137:     */
                   12138:     for(itimes=1;itimes<=2;itimes++){
                   12139:       jj=0;
                   12140:       for(i=1; i <=nlstate; i++){
1.225     brouard  12141:        for(j=1; j <=nlstate+ndeath; j++){
                   12142:          if(j==i) continue;
                   12143:          for(k=1; k<=ncovmodel;k++){
                   12144:            jj++;
                   12145:            ca[0]= k+'a'-1;ca[1]='\0';
                   12146:            if(itimes==1){
                   12147:              if(mle>=1)
                   12148:                printf("#%1d%1d%d",i,j,k);
                   12149:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
                   12150:              fprintf(ficres,"#%1d%1d%d",i,j,k);
                   12151:            }else{
                   12152:              if(mle>=1)
                   12153:                printf("%1d%1d%d",i,j,k);
                   12154:              fprintf(ficlog,"%1d%1d%d",i,j,k);
                   12155:              fprintf(ficres,"%1d%1d%d",i,j,k);
                   12156:            }
                   12157:            ll=0;
                   12158:            for(li=1;li <=nlstate; li++){
                   12159:              for(lj=1;lj <=nlstate+ndeath; lj++){
                   12160:                if(lj==li) continue;
                   12161:                for(lk=1;lk<=ncovmodel;lk++){
                   12162:                  ll++;
                   12163:                  if(ll<=jj){
                   12164:                    cb[0]= lk +'a'-1;cb[1]='\0';
                   12165:                    if(ll<jj){
                   12166:                      if(itimes==1){
                   12167:                        if(mle>=1)
                   12168:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12169:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12170:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12171:                      }else{
                   12172:                        if(mle>=1)
                   12173:                          printf(" %.5e",matcov[jj][ll]); 
                   12174:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   12175:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   12176:                      }
                   12177:                    }else{
                   12178:                      if(itimes==1){
                   12179:                        if(mle>=1)
                   12180:                          printf(" Var(%s%1d%1d)",ca,i,j);
                   12181:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                   12182:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                   12183:                      }else{
                   12184:                        if(mle>=1)
                   12185:                          printf(" %.7e",matcov[jj][ll]); 
                   12186:                        fprintf(ficlog," %.7e",matcov[jj][ll]); 
                   12187:                        fprintf(ficres," %.7e",matcov[jj][ll]); 
                   12188:                      }
                   12189:                    }
                   12190:                  }
                   12191:                } /* end lk */
                   12192:              } /* end lj */
                   12193:            } /* end li */
                   12194:            if(mle>=1)
                   12195:              printf("\n");
                   12196:            fprintf(ficlog,"\n");
                   12197:            fprintf(ficres,"\n");
                   12198:            numlinepar++;
                   12199:          } /* end k*/
                   12200:        } /*end j */
1.126     brouard  12201:       } /* end i */
                   12202:     } /* end itimes */
                   12203:     
                   12204:     fflush(ficlog);
                   12205:     fflush(ficres);
1.225     brouard  12206:     while(fgets(line, MAXLINE, ficpar)) {
                   12207:       /* If line starts with a # it is a comment */
                   12208:       if (line[0] == '#') {
                   12209:        numlinepar++;
                   12210:        fputs(line,stdout);
                   12211:        fputs(line,ficparo);
                   12212:        fputs(line,ficlog);
                   12213:        continue;
                   12214:       }else
                   12215:        break;
                   12216:     }
                   12217:     
1.209     brouard  12218:     /* while((c=getc(ficpar))=='#' && c!= EOF){ */
                   12219:     /*   ungetc(c,ficpar); */
                   12220:     /*   fgets(line, MAXLINE, ficpar); */
                   12221:     /*   fputs(line,stdout); */
                   12222:     /*   fputs(line,ficparo); */
                   12223:     /* } */
                   12224:     /* ungetc(c,ficpar); */
1.126     brouard  12225:     
                   12226:     estepm=0;
1.209     brouard  12227:     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  12228:       
                   12229:       if (num_filled != 6) {
                   12230:        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);
                   12231:        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);
                   12232:        goto end;
                   12233:       }
                   12234:       printf("agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",ageminpar,agemaxpar, bage, fage, estepm, ftolpl);
                   12235:     }
                   12236:     /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
                   12237:     /*ftolpl=6.e-4;*/ /* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
                   12238:     
1.209     brouard  12239:     /* fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm); */
1.126     brouard  12240:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   12241:     if (fage <= 2) {
                   12242:       bage = ageminpar;
                   12243:       fage = agemaxpar;
                   12244:     }
                   12245:     
                   12246:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
1.211     brouard  12247:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
                   12248:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d, ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
1.220     brouard  12249:                
1.186     brouard  12250:     /* Other stuffs, more or less useful */    
1.254     brouard  12251:     while(fgets(line, MAXLINE, ficpar)) {
                   12252:       /* If line starts with a # it is a comment */
                   12253:       if (line[0] == '#') {
                   12254:        numlinepar++;
                   12255:        fputs(line,stdout);
                   12256:        fputs(line,ficparo);
                   12257:        fputs(line,ficlog);
                   12258:        continue;
                   12259:       }else
                   12260:        break;
                   12261:     }
                   12262: 
                   12263:     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){
                   12264:       
                   12265:       if (num_filled != 7) {
                   12266:        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);
                   12267:        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);
                   12268:        goto end;
                   12269:       }
                   12270:       printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   12271:       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);
                   12272:       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);
                   12273:       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  12274:     }
1.254     brouard  12275: 
                   12276:     while(fgets(line, MAXLINE, ficpar)) {
                   12277:       /* If line starts with a # it is a comment */
                   12278:       if (line[0] == '#') {
                   12279:        numlinepar++;
                   12280:        fputs(line,stdout);
                   12281:        fputs(line,ficparo);
                   12282:        fputs(line,ficlog);
                   12283:        continue;
                   12284:       }else
                   12285:        break;
1.126     brouard  12286:     }
                   12287:     
                   12288:     
                   12289:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   12290:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   12291:     
1.254     brouard  12292:     if((num_filled=sscanf(line,"pop_based=%d\n",&popbased)) !=EOF){
                   12293:       if (num_filled != 1) {
                   12294:        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);
                   12295:        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);
                   12296:        goto end;
                   12297:       }
                   12298:       printf("pop_based=%d\n",popbased);
                   12299:       fprintf(ficlog,"pop_based=%d\n",popbased);
                   12300:       fprintf(ficparo,"pop_based=%d\n",popbased);   
                   12301:       fprintf(ficres,"pop_based=%d\n",popbased);   
                   12302:     }
                   12303:      
1.258     brouard  12304:     /* Results */
                   12305:     nresult=0;
                   12306:     do{
                   12307:       if(!fgets(line, MAXLINE, ficpar)){
                   12308:        endishere=1;
                   12309:        parameterline=14;
                   12310:       }else if (line[0] == '#') {
                   12311:        /* If line starts with a # it is a comment */
1.254     brouard  12312:        numlinepar++;
                   12313:        fputs(line,stdout);
                   12314:        fputs(line,ficparo);
                   12315:        fputs(line,ficlog);
                   12316:        continue;
1.258     brouard  12317:       }else if(sscanf(line,"prevforecast=%[^\n]\n",modeltemp))
                   12318:        parameterline=11;
1.296   ! brouard  12319:       else if(sscanf(line,"prevbackcast=%[^\n]\n",modeltemp))
1.258     brouard  12320:        parameterline=12;
                   12321:       else if(sscanf(line,"result:%[^\n]\n",modeltemp))
                   12322:        parameterline=13;
                   12323:       else{
                   12324:        parameterline=14;
1.254     brouard  12325:       }
1.258     brouard  12326:       switch (parameterline){ 
                   12327:       case 11:
1.296   ! brouard  12328:        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)){
        !          12329:                  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  12330:          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);
                   12331:          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);
                   12332:          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);
                   12333:          /* day and month of proj2 are not used but only year anproj2.*/
1.273     brouard  12334:          dateproj1=anproj1+(mproj1-1)/12.+(jproj1-1)/365.;
                   12335:          dateproj2=anproj2+(mproj2-1)/12.+(jproj2-1)/365.;
1.296   ! brouard  12336:           prvforecast = 1;
        !          12337:        } 
        !          12338:        else if((num_filled=sscanf(line,"prevforecast=%d yearsfproj=%lf mobil_average=%d\n",&prevfcast,&yrfproj,&mobilavproj)) !=EOF){/* && (num_filled == 3))*/
        !          12339:           printf(" Num_filled=%d, yearsfproj=%lf, mobil_average=%d\n",prevfcast,yrfproj,mobilavproj);
        !          12340:           prvforecast = 2;
        !          12341:        }
        !          12342:        else {
        !          12343:          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);
        !          12344:          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);
        !          12345:          goto end;
1.258     brouard  12346:        }
1.254     brouard  12347:        break;
1.258     brouard  12348:       case 12:
1.296   ! brouard  12349:        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)){
        !          12350:           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);
        !          12351:          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);
        !          12352:          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);
        !          12353:          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);
        !          12354:          /* day and month of back2 are not used but only year anback2.*/
1.273     brouard  12355:          dateback1=anback1+(mback1-1)/12.+(jback1-1)/365.;
                   12356:          dateback2=anback2+(mback2-1)/12.+(jback2-1)/365.;
1.296   ! brouard  12357:           prvbackcast = 1;
        !          12358:        } 
        !          12359:        else if((num_filled=sscanf(line,"prevbackcast=%d yearsbproj=%lf mobil_average=%d\n",&prevbcast,&yrbproj,&mobilavproj)) ==3){/* && (num_filled == 3))*/
        !          12360:           printf(" Num_filled=%d, yearsbproj=%lf, mobil_average=%d\n",prevbcast,yrbproj,mobilavproj);
        !          12361:           prvbackcast = 2;
        !          12362:        }
        !          12363:        else {
        !          12364:          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);
        !          12365:          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);
        !          12366:          goto end;
1.258     brouard  12367:        }
1.230     brouard  12368:        break;
1.296   ! brouard  12369:        /* /\*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);*\/ */
        !          12370:        /* 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){ */
        !          12371:        /*   if (num_filled != 8) { */
        !          12372:        /*     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); */
        !          12373:        /*     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); */
        !          12374:        /*     goto end; */
        !          12375:        /*   } */
        !          12376:        /*   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); */
        !          12377:        /*   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); */
        !          12378:        /*   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); */
        !          12379:        /*   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); */
        !          12380:        /*   /\* day and month of proj2 are not used but only year anproj2.*\/ */
        !          12381:        /*   dateback1=anback1+(mback1-1)/12.+(jback1-1)/365.; */
        !          12382:        /*   dateback2=anback2+(mback2-1)/12.+(jback2-1)/365.; */
        !          12383:        /* } */
        !          12384:        /* break; */
1.258     brouard  12385:       case 13:
                   12386:        if((num_filled=sscanf(line,"result:%[^\n]\n",resultline)) !=EOF){
                   12387:          if (num_filled == 0){
                   12388:            resultline[0]='\0';
                   12389:            printf("Warning %d: no result line! It should be at minimum 'result: V2=0 V1=1 or result:.\n%s\n", num_filled, line);
                   12390:            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);
                   12391:            break;
                   12392:          } else if (num_filled != 1){
                   12393:            printf("ERROR %d: result line! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",num_filled, line);
                   12394:            fprintf(ficlog,"ERROR %d: result line! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",num_filled, line);
                   12395:          }
                   12396:          nresult++; /* Sum of resultlines */
                   12397:          printf("Result %d: result=%s\n",nresult, resultline);
                   12398:          if(nresult > MAXRESULTLINES){
                   12399:            printf("ERROR: Current version of IMaCh limits the number of resultlines to %d, you used %d\n",MAXRESULTLINES,nresult);
                   12400:            fprintf(ficlog,"ERROR: Current version of IMaCh limits the number of resultlines to %d, you used %d\n",MAXRESULTLINES,nresult);
                   12401:            goto end;
                   12402:          }
                   12403:          decoderesult(resultline, nresult); /* Fills TKresult[nresult] combination and Tresult[nresult][k4+1] combination values */
                   12404:          fprintf(ficparo,"result: %s\n",resultline);
                   12405:          fprintf(ficres,"result: %s\n",resultline);
                   12406:          fprintf(ficlog,"result: %s\n",resultline);
1.230     brouard  12407:          break;
1.258     brouard  12408:        case 14: 
1.259     brouard  12409:          if(ncovmodel >2 && nresult==0 ){
                   12410:            printf("ERROR: no result lines! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",line);
1.258     brouard  12411:            goto end;
                   12412:          }
1.259     brouard  12413:          break;
1.258     brouard  12414:        default:
                   12415:          nresult=1;
                   12416:          decoderesult(".",nresult ); /* No covariate */
                   12417:        }
                   12418:       } /* End switch parameterline */
                   12419:     }while(endishere==0); /* End do */
1.126     brouard  12420:     
1.230     brouard  12421:     /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
1.145     brouard  12422:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  12423:     
                   12424:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  12425:     if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
1.230     brouard  12426:       printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  12427: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12428: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.230     brouard  12429:       fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  12430: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12431: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  12432:     }else{
1.270     brouard  12433:       /* printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, prevfcast, backcast, pathc,p, (int)anproj1-(int)agemin, (int)anback1-(int)agemax+1); */
1.296   ! brouard  12434:       /* It seems that anprojd which is computed from the mean year at interview which is known yet because of freqsummary */
        !          12435:       /* date2dmy(dateintmean,&jintmean,&mintmean,&aintmean); */ /* Done in freqsummary */
        !          12436:       if(prvforecast==1){
        !          12437:         dateprojd=(jproj1+12*mproj1+365*anproj1)/365;
        !          12438:         jprojd=jproj1;
        !          12439:         mprojd=mproj1;
        !          12440:         anprojd=anproj1;
        !          12441:         dateprojf=(jproj2+12*mproj2+365*anproj2)/365;
        !          12442:         jprojf=jproj2;
        !          12443:         mprojf=mproj2;
        !          12444:         anprojf=anproj2;
        !          12445:       } else if(prvforecast == 2){
        !          12446:         dateprojd=dateintmean;
        !          12447:         date2dmy(dateprojd,&jprojd, &mprojd, &anprojd);
        !          12448:         dateprojf=dateintmean+yrfproj;
        !          12449:         date2dmy(dateprojf,&jprojf, &mprojf, &anprojf);
        !          12450:       }
        !          12451:       if(prvbackcast==1){
        !          12452:         datebackd=(jback1+12*mback1+365*anback1)/365;
        !          12453:         jbackd=jback1;
        !          12454:         mbackd=mback1;
        !          12455:         anbackd=anback1;
        !          12456:         datebackf=(jback2+12*mback2+365*anback2)/365;
        !          12457:         jbackf=jback2;
        !          12458:         mbackf=mback2;
        !          12459:         anbackf=anback2;
        !          12460:       } else if(prvbackcast == 2){
        !          12461:         datebackd=dateintmean;
        !          12462:         date2dmy(datebackd,&jbackd, &mbackd, &anbackd);
        !          12463:         datebackf=dateintmean-yrbproj;
        !          12464:         date2dmy(datebackf,&jbackf, &mbackf, &anbackf);
        !          12465:       }
        !          12466:       
        !          12467:       printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,bage, fage, prevfcast, prevbcast, pathc,p, (int)anprojd-bage, (int)anbackd-fage);
1.220     brouard  12468:     }
                   12469:     printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt, \
1.296   ! brouard  12470:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,mobilav,prevfcast,mobilavproj,prevbcast, estepm, \
        !          12471:                 jprev1,mprev1,anprev1,dateprev1, dateprojd, datebackd,jprev2,mprev2,anprev2,dateprev2,dateprojf, datebackf);
1.220     brouard  12472:                
1.225     brouard  12473:     /*------------ free_vector  -------------*/
                   12474:     /*  chdir(path); */
1.220     brouard  12475:                
1.215     brouard  12476:     /* free_ivector(wav,1,imx); */  /* Moved after last prevalence call */
                   12477:     /* free_imatrix(dh,1,lastpass-firstpass+2,1,imx); */
                   12478:     /* free_imatrix(bh,1,lastpass-firstpass+2,1,imx); */
                   12479:     /* free_imatrix(mw,1,lastpass-firstpass+2,1,imx);    */
1.290     brouard  12480:     free_lvector(num,firstobs,lastobs);
                   12481:     free_vector(agedc,firstobs,lastobs);
1.126     brouard  12482:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   12483:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   12484:     fclose(ficparo);
                   12485:     fclose(ficres);
1.220     brouard  12486:                
                   12487:                
1.186     brouard  12488:     /* Other results (useful)*/
1.220     brouard  12489:                
                   12490:                
1.126     brouard  12491:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  12492:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   12493:     prlim=matrix(1,nlstate,1,nlstate);
1.209     brouard  12494:     prevalence_limit(p, prlim,  ageminpar, agemaxpar, ftolpl, &ncvyear);
1.126     brouard  12495:     fclose(ficrespl);
                   12496: 
                   12497:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  12498:     /*#include "hpijx.h"*/
                   12499:     hPijx(p, bage, fage);
1.145     brouard  12500:     fclose(ficrespij);
1.227     brouard  12501:     
1.220     brouard  12502:     /* ncovcombmax=  pow(2,cptcoveff); */
1.219     brouard  12503:     /*-------------- Variance of one-step probabilities---*/
1.145     brouard  12504:     k=1;
1.126     brouard  12505:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
1.227     brouard  12506:     
1.269     brouard  12507:     /* Prevalence for each covariate combination in probs[age][status][cov] */
                   12508:     probs= ma3x(AGEINF,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
                   12509:     for(i=AGEINF;i<=AGESUP;i++)
1.219     brouard  12510:       for(j=1;j<=nlstate+ndeath;j++) /* ndeath is useless but a necessity to be compared with mobaverages */
1.225     brouard  12511:        for(k=1;k<=ncovcombmax;k++)
                   12512:          probs[i][j][k]=0.;
1.269     brouard  12513:     prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, 
                   12514:               ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
1.219     brouard  12515:     if (mobilav!=0 ||mobilavproj !=0 ) {
1.269     brouard  12516:       mobaverages= ma3x(AGEINF, AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
                   12517:       for(i=AGEINF;i<=AGESUP;i++)
1.268     brouard  12518:        for(j=1;j<=nlstate+ndeath;j++)
1.227     brouard  12519:          for(k=1;k<=ncovcombmax;k++)
                   12520:            mobaverages[i][j][k]=0.;
1.219     brouard  12521:       mobaverage=mobaverages;
                   12522:       if (mobilav!=0) {
1.235     brouard  12523:        printf("Movingaveraging observed prevalence\n");
1.258     brouard  12524:        fprintf(ficlog,"Movingaveraging observed prevalence\n");
1.227     brouard  12525:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilav)!=0){
                   12526:          fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   12527:          printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   12528:        }
1.269     brouard  12529:       } else if (mobilavproj !=0) {
1.235     brouard  12530:        printf("Movingaveraging projected observed prevalence\n");
1.258     brouard  12531:        fprintf(ficlog,"Movingaveraging projected observed prevalence\n");
1.227     brouard  12532:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilavproj)!=0){
                   12533:          fprintf(ficlog," Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   12534:          printf(" Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   12535:        }
1.269     brouard  12536:       }else{
                   12537:        printf("Internal error moving average\n");
                   12538:        fflush(stdout);
                   12539:        exit(1);
1.219     brouard  12540:       }
                   12541:     }/* end if moving average */
1.227     brouard  12542:     
1.126     brouard  12543:     /*---------- Forecasting ------------------*/
1.296   ! brouard  12544:     if(prevfcast==1){ 
        !          12545:       /*   /\*    if(stepm ==1){*\/ */
        !          12546:       /*   /\*  anproj1, mproj1, jproj1 either read explicitly or yrfproj *\/ */
        !          12547:       /*This done previously after freqsummary.*/
        !          12548:       /*   dateprojd=(jproj1+12*mproj1+365*anproj1)/365; */
        !          12549:       /*   dateprojf=(jproj2+12*mproj2+365*anproj2)/365; */
        !          12550:       
        !          12551:       /* } else if (prvforecast==2){ */
        !          12552:       /*   /\*    if(stepm ==1){*\/ */
        !          12553:       /*   /\*  anproj1, mproj1, jproj1 either read explicitly or yrfproj *\/ */
        !          12554:       /* } */
        !          12555:       /*prevforecast(fileresu, dateintmean, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, mobaverage, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);*/
        !          12556:       prevforecast(fileresu,dateintmean, dateprojd, dateprojf, agemin, agemax, dateprev1, dateprev2, mobilavproj, mobaverage, bage, fage, firstpass, lastpass, p, cptcoveff);
1.126     brouard  12557:     }
1.269     brouard  12558: 
1.296   ! brouard  12559:     /* Prevbcasting */
        !          12560:     if(prevbcast==1){
1.219     brouard  12561:       ddnewms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   12562:       ddoldms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   12563:       ddsavms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);
                   12564: 
                   12565:       /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
                   12566: 
                   12567:       bprlim=matrix(1,nlstate,1,nlstate);
1.269     brouard  12568: 
1.219     brouard  12569:       back_prevalence_limit(p, bprlim,  ageminpar, agemaxpar, ftolpl, &ncvyear, dateprev1, dateprev2, firstpass, lastpass, mobilavproj);
                   12570:       fclose(ficresplb);
                   12571: 
1.222     brouard  12572:       hBijx(p, bage, fage, mobaverage);
                   12573:       fclose(ficrespijb);
1.219     brouard  12574: 
1.296   ! brouard  12575:       /* /\* prevbackforecast(fileresu, mobaverage, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, *\/ */
        !          12576:       /* /\*                  mobilavproj, bage, fage, firstpass, lastpass, anback2, p, cptcoveff); *\/ */
        !          12577:       /* prevbackforecast(fileresu, mobaverage, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, */
        !          12578:       /*                      mobilavproj, bage, fage, firstpass, lastpass, anback2, p, cptcoveff); */
        !          12579:       prevbackforecast(fileresu, mobaverage, dateintmean, dateprojd, dateprojf, agemin, agemax, dateprev1, dateprev2,
        !          12580:                       mobilavproj, bage, fage, firstpass, lastpass, p, cptcoveff);
        !          12581: 
        !          12582:       
1.269     brouard  12583:       varbprlim(fileresu, nresult, mobaverage, mobilavproj, bage, fage, bprlim, &ncvyear, ftolpl, p, matcov, delti, stepm, cptcoveff);
1.268     brouard  12584: 
                   12585:       
1.269     brouard  12586:       free_matrix(bprlim,1,nlstate,1,nlstate); /*here or after loop ? */
1.219     brouard  12587:       free_matrix(ddnewms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   12588:       free_matrix(ddsavms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   12589:       free_matrix(ddoldms, 1, nlstate+ndeath, 1, nlstate+ndeath);
1.296   ! brouard  12590:     }    /* end  Prevbcasting */
1.268     brouard  12591:  
1.186     brouard  12592:  
                   12593:     /* ------ Other prevalence ratios------------ */
1.126     brouard  12594: 
1.215     brouard  12595:     free_ivector(wav,1,imx);
                   12596:     free_imatrix(dh,1,lastpass-firstpass+2,1,imx);
                   12597:     free_imatrix(bh,1,lastpass-firstpass+2,1,imx);
                   12598:     free_imatrix(mw,1,lastpass-firstpass+2,1,imx);   
1.218     brouard  12599:                
                   12600:                
1.127     brouard  12601:     /*---------- Health expectancies, no variances ------------*/
1.218     brouard  12602:                
1.201     brouard  12603:     strcpy(filerese,"E_");
                   12604:     strcat(filerese,fileresu);
1.126     brouard  12605:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   12606:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   12607:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   12608:     }
1.208     brouard  12609:     printf("Computing Health Expectancies: result on file '%s' ...", filerese);fflush(stdout);
                   12610:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' ...", filerese);fflush(ficlog);
1.238     brouard  12611: 
                   12612:     pstamp(ficreseij);
1.219     brouard  12613:                
1.235     brouard  12614:     i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
                   12615:     if (cptcovn < 1){i1=1;}
                   12616:     
                   12617:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   12618:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  12619:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  12620:        continue;
1.219     brouard  12621:       fprintf(ficreseij,"\n#****** ");
1.235     brouard  12622:       printf("\n#****** ");
1.225     brouard  12623:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  12624:        fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  12625:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12626:       }
                   12627:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12628:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12629:        fprintf(ficreseij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
1.219     brouard  12630:       }
                   12631:       fprintf(ficreseij,"******\n");
1.235     brouard  12632:       printf("******\n");
1.219     brouard  12633:       
                   12634:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   12635:       oldm=oldms;savm=savms;
1.235     brouard  12636:       evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart, nres);  
1.127     brouard  12637:       
1.219     brouard  12638:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.127     brouard  12639:     }
                   12640:     fclose(ficreseij);
1.208     brouard  12641:     printf("done evsij\n");fflush(stdout);
                   12642:     fprintf(ficlog,"done evsij\n");fflush(ficlog);
1.269     brouard  12643: 
1.218     brouard  12644:                
1.227     brouard  12645:     /*---------- State-specific expectancies and variances ------------*/
1.218     brouard  12646:                
1.201     brouard  12647:     strcpy(filerest,"T_");
                   12648:     strcat(filerest,fileresu);
1.127     brouard  12649:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   12650:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   12651:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   12652:     }
1.208     brouard  12653:     printf("Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(stdout);
                   12654:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(ficlog);
1.201     brouard  12655:     strcpy(fileresstde,"STDE_");
                   12656:     strcat(fileresstde,fileresu);
1.126     brouard  12657:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
1.227     brouard  12658:       printf("Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   12659:       fprintf(ficlog,"Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
1.126     brouard  12660:     }
1.227     brouard  12661:     printf("  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   12662:     fprintf(ficlog,"  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
1.126     brouard  12663: 
1.201     brouard  12664:     strcpy(filerescve,"CVE_");
                   12665:     strcat(filerescve,fileresu);
1.126     brouard  12666:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
1.227     brouard  12667:       printf("Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
                   12668:       fprintf(ficlog,"Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
1.126     brouard  12669:     }
1.227     brouard  12670:     printf("    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
                   12671:     fprintf(ficlog,"    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
1.126     brouard  12672: 
1.201     brouard  12673:     strcpy(fileresv,"V_");
                   12674:     strcat(fileresv,fileresu);
1.126     brouard  12675:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   12676:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   12677:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   12678:     }
1.227     brouard  12679:     printf("      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(stdout);
                   12680:     fprintf(ficlog,"      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(ficlog);
1.126     brouard  12681: 
1.235     brouard  12682:     i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
                   12683:     if (cptcovn < 1){i1=1;}
                   12684:     
                   12685:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   12686:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  12687:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  12688:        continue;
1.242     brouard  12689:       printf("\n#****** Result for:");
                   12690:       fprintf(ficrest,"\n#****** Result for:");
                   12691:       fprintf(ficlog,"\n#****** Result for:");
1.227     brouard  12692:       for(j=1;j<=cptcoveff;j++){ 
                   12693:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12694:        fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12695:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12696:       }
1.235     brouard  12697:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12698:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12699:        fprintf(ficrest," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12700:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12701:       }        
1.208     brouard  12702:       fprintf(ficrest,"******\n");
1.227     brouard  12703:       fprintf(ficlog,"******\n");
                   12704:       printf("******\n");
1.208     brouard  12705:       
                   12706:       fprintf(ficresstdeij,"\n#****** ");
                   12707:       fprintf(ficrescveij,"\n#****** ");
1.225     brouard  12708:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  12709:        fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12710:        fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  12711:       }
1.235     brouard  12712:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12713:        fprintf(ficresstdeij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12714:        fprintf(ficrescveij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12715:       }        
1.208     brouard  12716:       fprintf(ficresstdeij,"******\n");
                   12717:       fprintf(ficrescveij,"******\n");
                   12718:       
                   12719:       fprintf(ficresvij,"\n#****** ");
1.238     brouard  12720:       /* pstamp(ficresvij); */
1.225     brouard  12721:       for(j=1;j<=cptcoveff;j++) 
1.227     brouard  12722:        fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  12723:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12724:        fprintf(ficresvij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12725:       }        
1.208     brouard  12726:       fprintf(ficresvij,"******\n");
                   12727:       
                   12728:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   12729:       oldm=oldms;savm=savms;
1.235     brouard  12730:       printf(" cvevsij ");
                   12731:       fprintf(ficlog, " cvevsij ");
                   12732:       cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart, nres);
1.208     brouard  12733:       printf(" end cvevsij \n ");
                   12734:       fprintf(ficlog, " end cvevsij \n ");
                   12735:       
                   12736:       /*
                   12737:        */
                   12738:       /* goto endfree; */
                   12739:       
                   12740:       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   12741:       pstamp(ficrest);
                   12742:       
1.269     brouard  12743:       epj=vector(1,nlstate+1);
1.208     brouard  12744:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.227     brouard  12745:        oldm=oldms;savm=savms; /* ZZ Segmentation fault */
                   12746:        cptcod= 0; /* To be deleted */
                   12747:        printf("varevsij vpopbased=%d \n",vpopbased);
                   12748:        fprintf(ficlog, "varevsij vpopbased=%d \n",vpopbased);
1.235     brouard  12749:        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  12750:        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 ");
                   12751:        if(vpopbased==1)
                   12752:          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);
                   12753:        else
1.288     brouard  12754:          fprintf(ficrest,"the age specific forward period (stable) prevalences in each health state \n");
1.227     brouard  12755:        fprintf(ficrest,"# Age popbased mobilav e.. (std) ");
                   12756:        for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
                   12757:        fprintf(ficrest,"\n");
                   12758:        /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
1.288     brouard  12759:        printf("Computing age specific forward period (stable) prevalences in each health state \n");
                   12760:        fprintf(ficlog,"Computing age specific forward period (stable) prevalences in each health state \n");
1.227     brouard  12761:        for(age=bage; age <=fage ;age++){
1.235     brouard  12762:          prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, &ncvyear, k, nres); /*ZZ Is it the correct prevalim */
1.227     brouard  12763:          if (vpopbased==1) {
                   12764:            if(mobilav ==0){
                   12765:              for(i=1; i<=nlstate;i++)
                   12766:                prlim[i][i]=probs[(int)age][i][k];
                   12767:            }else{ /* mobilav */ 
                   12768:              for(i=1; i<=nlstate;i++)
                   12769:                prlim[i][i]=mobaverage[(int)age][i][k];
                   12770:            }
                   12771:          }
1.219     brouard  12772:          
1.227     brouard  12773:          fprintf(ficrest," %4.0f %d %d",age, vpopbased, mobilav);
                   12774:          /* fprintf(ficrest," %4.0f %d %d %d %d",age, vpopbased, mobilav,Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */ /* to be done */
                   12775:          /* printf(" age %4.0f ",age); */
                   12776:          for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                   12777:            for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   12778:              epj[j] += prlim[i][i]*eij[i][j][(int)age];
                   12779:              /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   12780:              /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
                   12781:            }
                   12782:            epj[nlstate+1] +=epj[j];
                   12783:          }
                   12784:          /* printf(" age %4.0f \n",age); */
1.219     brouard  12785:          
1.227     brouard  12786:          for(i=1, vepp=0.;i <=nlstate;i++)
                   12787:            for(j=1;j <=nlstate;j++)
                   12788:              vepp += vareij[i][j][(int)age];
                   12789:          fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
                   12790:          for(j=1;j <=nlstate;j++){
                   12791:            fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
                   12792:          }
                   12793:          fprintf(ficrest,"\n");
                   12794:        }
1.208     brouard  12795:       } /* End vpopbased */
1.269     brouard  12796:       free_vector(epj,1,nlstate+1);
1.208     brouard  12797:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   12798:       free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.235     brouard  12799:       printf("done selection\n");fflush(stdout);
                   12800:       fprintf(ficlog,"done selection\n");fflush(ficlog);
1.208     brouard  12801:       
1.235     brouard  12802:     } /* End k selection */
1.227     brouard  12803: 
                   12804:     printf("done State-specific expectancies\n");fflush(stdout);
                   12805:     fprintf(ficlog,"done State-specific expectancies\n");fflush(ficlog);
                   12806: 
1.288     brouard  12807:     /* variance-covariance of forward period prevalence*/
1.269     brouard  12808:     varprlim(fileresu, nresult, mobaverage, mobilavproj, bage, fage, prlim, &ncvyear, ftolpl, p, matcov, delti, stepm, cptcoveff);
1.268     brouard  12809: 
1.227     brouard  12810:     
1.290     brouard  12811:     free_vector(weight,firstobs,lastobs);
1.227     brouard  12812:     free_imatrix(Tvard,1,NCOVMAX,1,2);
1.290     brouard  12813:     free_imatrix(s,1,maxwav+1,firstobs,lastobs);
                   12814:     free_matrix(anint,1,maxwav,firstobs,lastobs); 
                   12815:     free_matrix(mint,1,maxwav,firstobs,lastobs);
                   12816:     free_ivector(cod,firstobs,lastobs);
1.227     brouard  12817:     free_ivector(tab,1,NCOVMAX);
                   12818:     fclose(ficresstdeij);
                   12819:     fclose(ficrescveij);
                   12820:     fclose(ficresvij);
                   12821:     fclose(ficrest);
                   12822:     fclose(ficpar);
                   12823:     
                   12824:     
1.126     brouard  12825:     /*---------- End : free ----------------*/
1.219     brouard  12826:     if (mobilav!=0 ||mobilavproj !=0)
1.269     brouard  12827:       free_ma3x(mobaverages,AGEINF, AGESUP,1,nlstate+ndeath, 1,ncovcombmax); /* We need to have a squared matrix with prevalence of the dead! */
                   12828:     free_ma3x(probs,AGEINF,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.220     brouard  12829:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
                   12830:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
1.126     brouard  12831:   }  /* mle==-3 arrives here for freeing */
1.227     brouard  12832:   /* endfree:*/
                   12833:   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   12834:   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   12835:   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
1.290     brouard  12836:   if(ntv+nqtv>=1)free_ma3x(cotvar,1,maxwav,1,ntv+nqtv,firstobs,lastobs);
                   12837:   if(nqtv>=1)free_ma3x(cotqvar,1,maxwav,1,nqtv,firstobs,lastobs);
                   12838:   if(nqv>=1)free_matrix(coqvar,1,nqv,firstobs,lastobs);
                   12839:   free_matrix(covar,0,NCOVMAX,firstobs,lastobs);
1.227     brouard  12840:   free_matrix(matcov,1,npar,1,npar);
                   12841:   free_matrix(hess,1,npar,1,npar);
                   12842:   /*free_vector(delti,1,npar);*/
                   12843:   free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   12844:   free_matrix(agev,1,maxwav,1,imx);
1.269     brouard  12845:   free_ma3x(paramstart,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
1.227     brouard  12846:   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   12847:   
                   12848:   free_ivector(ncodemax,1,NCOVMAX);
                   12849:   free_ivector(ncodemaxwundef,1,NCOVMAX);
                   12850:   free_ivector(Dummy,-1,NCOVMAX);
                   12851:   free_ivector(Fixed,-1,NCOVMAX);
1.238     brouard  12852:   free_ivector(DummyV,1,NCOVMAX);
                   12853:   free_ivector(FixedV,1,NCOVMAX);
1.227     brouard  12854:   free_ivector(Typevar,-1,NCOVMAX);
                   12855:   free_ivector(Tvar,1,NCOVMAX);
1.234     brouard  12856:   free_ivector(TvarsQ,1,NCOVMAX);
                   12857:   free_ivector(TvarsQind,1,NCOVMAX);
                   12858:   free_ivector(TvarsD,1,NCOVMAX);
                   12859:   free_ivector(TvarsDind,1,NCOVMAX);
1.231     brouard  12860:   free_ivector(TvarFD,1,NCOVMAX);
                   12861:   free_ivector(TvarFDind,1,NCOVMAX);
1.232     brouard  12862:   free_ivector(TvarF,1,NCOVMAX);
                   12863:   free_ivector(TvarFind,1,NCOVMAX);
                   12864:   free_ivector(TvarV,1,NCOVMAX);
                   12865:   free_ivector(TvarVind,1,NCOVMAX);
                   12866:   free_ivector(TvarA,1,NCOVMAX);
                   12867:   free_ivector(TvarAind,1,NCOVMAX);
1.231     brouard  12868:   free_ivector(TvarFQ,1,NCOVMAX);
                   12869:   free_ivector(TvarFQind,1,NCOVMAX);
                   12870:   free_ivector(TvarVD,1,NCOVMAX);
                   12871:   free_ivector(TvarVDind,1,NCOVMAX);
                   12872:   free_ivector(TvarVQ,1,NCOVMAX);
                   12873:   free_ivector(TvarVQind,1,NCOVMAX);
1.230     brouard  12874:   free_ivector(Tvarsel,1,NCOVMAX);
                   12875:   free_vector(Tvalsel,1,NCOVMAX);
1.227     brouard  12876:   free_ivector(Tposprod,1,NCOVMAX);
                   12877:   free_ivector(Tprod,1,NCOVMAX);
                   12878:   free_ivector(Tvaraff,1,NCOVMAX);
                   12879:   free_ivector(invalidvarcomb,1,ncovcombmax);
                   12880:   free_ivector(Tage,1,NCOVMAX);
                   12881:   free_ivector(Tmodelind,1,NCOVMAX);
1.228     brouard  12882:   free_ivector(TmodelInvind,1,NCOVMAX);
                   12883:   free_ivector(TmodelInvQind,1,NCOVMAX);
1.227     brouard  12884:   
                   12885:   free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
                   12886:   /* free_imatrix(codtab,1,100,1,10); */
1.126     brouard  12887:   fflush(fichtm);
                   12888:   fflush(ficgp);
                   12889:   
1.227     brouard  12890:   
1.126     brouard  12891:   if((nberr >0) || (nbwarn>0)){
1.216     brouard  12892:     printf("End of Imach with %d errors and/or %d warnings. Please look at the log file for details.\n",nberr,nbwarn);
                   12893:     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  12894:   }else{
                   12895:     printf("End of Imach\n");
                   12896:     fprintf(ficlog,"End of Imach\n");
                   12897:   }
                   12898:   printf("See log file on %s\n",filelog);
                   12899:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  12900:   /*(void) gettimeofday(&end_time,&tzp);*/
                   12901:   rend_time = time(NULL);  
                   12902:   end_time = *localtime(&rend_time);
                   12903:   /* tml = *localtime(&end_time.tm_sec); */
                   12904:   strcpy(strtend,asctime(&end_time));
1.126     brouard  12905:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   12906:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  12907:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.227     brouard  12908:   
1.157     brouard  12909:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   12910:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   12911:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  12912:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   12913: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   12914:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   12915:   fclose(fichtm);
                   12916:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   12917:   fclose(fichtmcov);
                   12918:   fclose(ficgp);
                   12919:   fclose(ficlog);
                   12920:   /*------ End -----------*/
1.227     brouard  12921:   
1.281     brouard  12922: 
                   12923: /* Executes gnuplot */
1.227     brouard  12924:   
                   12925:   printf("Before Current directory %s!\n",pathcd);
1.184     brouard  12926: #ifdef WIN32
1.227     brouard  12927:   if (_chdir(pathcd) != 0)
                   12928:     printf("Can't move to directory %s!\n",path);
                   12929:   if(_getcwd(pathcd,MAXLINE) > 0)
1.184     brouard  12930: #else
1.227     brouard  12931:     if(chdir(pathcd) != 0)
                   12932:       printf("Can't move to directory %s!\n", path);
                   12933:   if (getcwd(pathcd, MAXLINE) > 0)
1.184     brouard  12934: #endif 
1.126     brouard  12935:     printf("Current directory %s!\n",pathcd);
                   12936:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   12937:   sprintf(plotcmd,"gnuplot");
1.157     brouard  12938: #ifdef _WIN32
1.126     brouard  12939:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   12940: #endif
                   12941:   if(!stat(plotcmd,&info)){
1.158     brouard  12942:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  12943:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  12944:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  12945:     }else
                   12946:       strcpy(pplotcmd,plotcmd);
1.157     brouard  12947: #ifdef __unix
1.126     brouard  12948:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   12949:     if(!stat(plotcmd,&info)){
1.158     brouard  12950:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  12951:     }else
                   12952:       strcpy(pplotcmd,plotcmd);
                   12953: #endif
                   12954:   }else
                   12955:     strcpy(pplotcmd,plotcmd);
                   12956:   
                   12957:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  12958:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.292     brouard  12959:   strcpy(pplotcmd,plotcmd);
1.227     brouard  12960:   
1.126     brouard  12961:   if((outcmd=system(plotcmd)) != 0){
1.292     brouard  12962:     printf("Error in gnuplot, command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  12963:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  12964:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.292     brouard  12965:     if((outcmd=system(plotcmd)) != 0){
1.153     brouard  12966:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.292     brouard  12967:       strcpy(plotcmd,pplotcmd);
                   12968:     }
1.126     brouard  12969:   }
1.158     brouard  12970:   printf(" Successful, please wait...");
1.126     brouard  12971:   while (z[0] != 'q') {
                   12972:     /* chdir(path); */
1.154     brouard  12973:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  12974:     scanf("%s",z);
                   12975: /*     if (z[0] == 'c') system("./imach"); */
                   12976:     if (z[0] == 'e') {
1.158     brouard  12977: #ifdef __APPLE__
1.152     brouard  12978:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  12979: #elif __linux
                   12980:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  12981: #else
1.152     brouard  12982:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  12983: #endif
                   12984:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   12985:       system(pplotcmd);
1.126     brouard  12986:     }
                   12987:     else if (z[0] == 'g') system(plotcmd);
                   12988:     else if (z[0] == 'q') exit(0);
                   12989:   }
1.227     brouard  12990: end:
1.126     brouard  12991:   while (z[0] != 'q') {
1.195     brouard  12992:     printf("\nType  q for exiting: "); fflush(stdout);
1.126     brouard  12993:     scanf("%s",z);
                   12994:   }
1.283     brouard  12995:   printf("End\n");
1.282     brouard  12996:   exit(0);
1.126     brouard  12997: }

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