Annotation of imach/src/imach.c, revision 1.290

1.290   ! brouard     1: /* $Id: imach.c,v 1.289 2018/12/13 09:16:26 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.290   ! brouard     4:   Revision 1.289  2018/12/13 09:16:26  brouard
        !             5:   Summary: Bug for young ages (<-30) will be in r17
        !             6: 
1.289     brouard     7:   Revision 1.288  2018/05/02 20:58:27  brouard
                      8:   Summary: Some bugs fixed
                      9: 
1.288     brouard    10:   Revision 1.287  2018/05/01 17:57:25  brouard
                     11:   Summary: Bug fixed by providing frequencies only for non missing covariates
                     12: 
1.287     brouard    13:   Revision 1.286  2018/04/27 14:27:04  brouard
                     14:   Summary: some minor bugs
                     15: 
1.286     brouard    16:   Revision 1.285  2018/04/21 21:02:16  brouard
                     17:   Summary: Some bugs fixed, valgrind tested
                     18: 
1.285     brouard    19:   Revision 1.284  2018/04/20 05:22:13  brouard
                     20:   Summary: Computing mean and stdeviation of fixed quantitative variables
                     21: 
1.284     brouard    22:   Revision 1.283  2018/04/19 14:49:16  brouard
                     23:   Summary: Some minor bugs fixed
                     24: 
1.283     brouard    25:   Revision 1.282  2018/02/27 22:50:02  brouard
                     26:   *** empty log message ***
                     27: 
1.282     brouard    28:   Revision 1.281  2018/02/27 19:25:23  brouard
                     29:   Summary: Adding second argument for quitting
                     30: 
1.281     brouard    31:   Revision 1.280  2018/02/21 07:58:13  brouard
                     32:   Summary: 0.99r15
                     33: 
                     34:   New Makefile with recent VirtualBox 5.26. Bug in sqrt negatve in imach.c
                     35: 
1.280     brouard    36:   Revision 1.279  2017/07/20 13:35:01  brouard
                     37:   Summary: temporary working
                     38: 
1.279     brouard    39:   Revision 1.278  2017/07/19 14:09:02  brouard
                     40:   Summary: Bug for mobil_average=0 and prevforecast fixed(?)
                     41: 
1.278     brouard    42:   Revision 1.277  2017/07/17 08:53:49  brouard
                     43:   Summary: BOM files can be read now
                     44: 
1.277     brouard    45:   Revision 1.276  2017/06/30 15:48:31  brouard
                     46:   Summary: Graphs improvements
                     47: 
1.276     brouard    48:   Revision 1.275  2017/06/30 13:39:33  brouard
                     49:   Summary: Saito's color
                     50: 
1.275     brouard    51:   Revision 1.274  2017/06/29 09:47:08  brouard
                     52:   Summary: Version 0.99r14
                     53: 
1.274     brouard    54:   Revision 1.273  2017/06/27 11:06:02  brouard
                     55:   Summary: More documentation on projections
                     56: 
1.273     brouard    57:   Revision 1.272  2017/06/27 10:22:40  brouard
                     58:   Summary: Color of backprojection changed from 6 to 5(yellow)
                     59: 
1.272     brouard    60:   Revision 1.271  2017/06/27 10:17:50  brouard
                     61:   Summary: Some bug with rint
                     62: 
1.271     brouard    63:   Revision 1.270  2017/05/24 05:45:29  brouard
                     64:   *** empty log message ***
                     65: 
1.270     brouard    66:   Revision 1.269  2017/05/23 08:39:25  brouard
                     67:   Summary: Code into subroutine, cleanings
                     68: 
1.269     brouard    69:   Revision 1.268  2017/05/18 20:09:32  brouard
                     70:   Summary: backprojection and confidence intervals of backprevalence
                     71: 
1.268     brouard    72:   Revision 1.267  2017/05/13 10:25:05  brouard
                     73:   Summary: temporary save for backprojection
                     74: 
1.267     brouard    75:   Revision 1.266  2017/05/13 07:26:12  brouard
                     76:   Summary: Version 0.99r13 (improvements and bugs fixed)
                     77: 
1.266     brouard    78:   Revision 1.265  2017/04/26 16:22:11  brouard
                     79:   Summary: imach 0.99r13 Some bugs fixed
                     80: 
1.265     brouard    81:   Revision 1.264  2017/04/26 06:01:29  brouard
                     82:   Summary: Labels in graphs
                     83: 
1.264     brouard    84:   Revision 1.263  2017/04/24 15:23:15  brouard
                     85:   Summary: to save
                     86: 
1.263     brouard    87:   Revision 1.262  2017/04/18 16:48:12  brouard
                     88:   *** empty log message ***
                     89: 
1.262     brouard    90:   Revision 1.261  2017/04/05 10:14:09  brouard
                     91:   Summary: Bug in E_ as well as in T_ fixed nres-1 vs k1-1
                     92: 
1.261     brouard    93:   Revision 1.260  2017/04/04 17:46:59  brouard
                     94:   Summary: Gnuplot indexations fixed (humm)
                     95: 
1.260     brouard    96:   Revision 1.259  2017/04/04 13:01:16  brouard
                     97:   Summary: Some errors to warnings only if date of death is unknown but status is death we could set to pi3
                     98: 
1.259     brouard    99:   Revision 1.258  2017/04/03 10:17:47  brouard
                    100:   Summary: Version 0.99r12
                    101: 
                    102:   Some cleanings, conformed with updated documentation.
                    103: 
1.258     brouard   104:   Revision 1.257  2017/03/29 16:53:30  brouard
                    105:   Summary: Temp
                    106: 
1.257     brouard   107:   Revision 1.256  2017/03/27 05:50:23  brouard
                    108:   Summary: Temporary
                    109: 
1.256     brouard   110:   Revision 1.255  2017/03/08 16:02:28  brouard
                    111:   Summary: IMaCh version 0.99r10 bugs in gnuplot fixed
                    112: 
1.255     brouard   113:   Revision 1.254  2017/03/08 07:13:00  brouard
                    114:   Summary: Fixing data parameter line
                    115: 
1.254     brouard   116:   Revision 1.253  2016/12/15 11:59:41  brouard
                    117:   Summary: 0.99 in progress
                    118: 
1.253     brouard   119:   Revision 1.252  2016/09/15 21:15:37  brouard
                    120:   *** empty log message ***
                    121: 
1.252     brouard   122:   Revision 1.251  2016/09/15 15:01:13  brouard
                    123:   Summary: not working
                    124: 
1.251     brouard   125:   Revision 1.250  2016/09/08 16:07:27  brouard
                    126:   Summary: continue
                    127: 
1.250     brouard   128:   Revision 1.249  2016/09/07 17:14:18  brouard
                    129:   Summary: Starting values from frequencies
                    130: 
1.249     brouard   131:   Revision 1.248  2016/09/07 14:10:18  brouard
                    132:   *** empty log message ***
                    133: 
1.248     brouard   134:   Revision 1.247  2016/09/02 11:11:21  brouard
                    135:   *** empty log message ***
                    136: 
1.247     brouard   137:   Revision 1.246  2016/09/02 08:49:22  brouard
                    138:   *** empty log message ***
                    139: 
1.246     brouard   140:   Revision 1.245  2016/09/02 07:25:01  brouard
                    141:   *** empty log message ***
                    142: 
1.245     brouard   143:   Revision 1.244  2016/09/02 07:17:34  brouard
                    144:   *** empty log message ***
                    145: 
1.244     brouard   146:   Revision 1.243  2016/09/02 06:45:35  brouard
                    147:   *** empty log message ***
                    148: 
1.243     brouard   149:   Revision 1.242  2016/08/30 15:01:20  brouard
                    150:   Summary: Fixing a lots
                    151: 
1.242     brouard   152:   Revision 1.241  2016/08/29 17:17:25  brouard
                    153:   Summary: gnuplot problem in Back projection to fix
                    154: 
1.241     brouard   155:   Revision 1.240  2016/08/29 07:53:18  brouard
                    156:   Summary: Better
                    157: 
1.240     brouard   158:   Revision 1.239  2016/08/26 15:51:03  brouard
                    159:   Summary: Improvement in Powell output in order to copy and paste
                    160: 
                    161:   Author:
                    162: 
1.239     brouard   163:   Revision 1.238  2016/08/26 14:23:35  brouard
                    164:   Summary: Starting tests of 0.99
                    165: 
1.238     brouard   166:   Revision 1.237  2016/08/26 09:20:19  brouard
                    167:   Summary: to valgrind
                    168: 
1.237     brouard   169:   Revision 1.236  2016/08/25 10:50:18  brouard
                    170:   *** empty log message ***
                    171: 
1.236     brouard   172:   Revision 1.235  2016/08/25 06:59:23  brouard
                    173:   *** empty log message ***
                    174: 
1.235     brouard   175:   Revision 1.234  2016/08/23 16:51:20  brouard
                    176:   *** empty log message ***
                    177: 
1.234     brouard   178:   Revision 1.233  2016/08/23 07:40:50  brouard
                    179:   Summary: not working
                    180: 
1.233     brouard   181:   Revision 1.232  2016/08/22 14:20:21  brouard
                    182:   Summary: not working
                    183: 
1.232     brouard   184:   Revision 1.231  2016/08/22 07:17:15  brouard
                    185:   Summary: not working
                    186: 
1.231     brouard   187:   Revision 1.230  2016/08/22 06:55:53  brouard
                    188:   Summary: Not working
                    189: 
1.230     brouard   190:   Revision 1.229  2016/07/23 09:45:53  brouard
                    191:   Summary: Completing for func too
                    192: 
1.229     brouard   193:   Revision 1.228  2016/07/22 17:45:30  brouard
                    194:   Summary: Fixing some arrays, still debugging
                    195: 
1.227     brouard   196:   Revision 1.226  2016/07/12 18:42:34  brouard
                    197:   Summary: temp
                    198: 
1.226     brouard   199:   Revision 1.225  2016/07/12 08:40:03  brouard
                    200:   Summary: saving but not running
                    201: 
1.225     brouard   202:   Revision 1.224  2016/07/01 13:16:01  brouard
                    203:   Summary: Fixes
                    204: 
1.224     brouard   205:   Revision 1.223  2016/02/19 09:23:35  brouard
                    206:   Summary: temporary
                    207: 
1.223     brouard   208:   Revision 1.222  2016/02/17 08:14:50  brouard
                    209:   Summary: Probably last 0.98 stable version 0.98r6
                    210: 
1.222     brouard   211:   Revision 1.221  2016/02/15 23:35:36  brouard
                    212:   Summary: minor bug
                    213: 
1.220     brouard   214:   Revision 1.219  2016/02/15 00:48:12  brouard
                    215:   *** empty log message ***
                    216: 
1.219     brouard   217:   Revision 1.218  2016/02/12 11:29:23  brouard
                    218:   Summary: 0.99 Back projections
                    219: 
1.218     brouard   220:   Revision 1.217  2015/12/23 17:18:31  brouard
                    221:   Summary: Experimental backcast
                    222: 
1.217     brouard   223:   Revision 1.216  2015/12/18 17:32:11  brouard
                    224:   Summary: 0.98r4 Warning and status=-2
                    225: 
                    226:   Version 0.98r4 is now:
                    227:    - displaying an error when status is -1, date of interview unknown and date of death known;
                    228:    - permitting a status -2 when the vital status is unknown at a known date of right truncation.
                    229:   Older changes concerning s=-2, dating from 2005 have been supersed.
                    230: 
1.216     brouard   231:   Revision 1.215  2015/12/16 08:52:24  brouard
                    232:   Summary: 0.98r4 working
                    233: 
1.215     brouard   234:   Revision 1.214  2015/12/16 06:57:54  brouard
                    235:   Summary: temporary not working
                    236: 
1.214     brouard   237:   Revision 1.213  2015/12/11 18:22:17  brouard
                    238:   Summary: 0.98r4
                    239: 
1.213     brouard   240:   Revision 1.212  2015/11/21 12:47:24  brouard
                    241:   Summary: minor typo
                    242: 
1.212     brouard   243:   Revision 1.211  2015/11/21 12:41:11  brouard
                    244:   Summary: 0.98r3 with some graph of projected cross-sectional
                    245: 
                    246:   Author: Nicolas Brouard
                    247: 
1.211     brouard   248:   Revision 1.210  2015/11/18 17:41:20  brouard
1.252     brouard   249:   Summary: Start working on projected prevalences  Revision 1.209  2015/11/17 22:12:03  brouard
1.210     brouard   250:   Summary: Adding ftolpl parameter
                    251:   Author: N Brouard
                    252: 
                    253:   We had difficulties to get smoothed confidence intervals. It was due
                    254:   to the period prevalence which wasn't computed accurately. The inner
                    255:   parameter ftolpl is now an outer parameter of the .imach parameter
                    256:   file after estepm. If ftolpl is small 1.e-4 and estepm too,
                    257:   computation are long.
                    258: 
1.209     brouard   259:   Revision 1.208  2015/11/17 14:31:57  brouard
                    260:   Summary: temporary
                    261: 
1.208     brouard   262:   Revision 1.207  2015/10/27 17:36:57  brouard
                    263:   *** empty log message ***
                    264: 
1.207     brouard   265:   Revision 1.206  2015/10/24 07:14:11  brouard
                    266:   *** empty log message ***
                    267: 
1.206     brouard   268:   Revision 1.205  2015/10/23 15:50:53  brouard
                    269:   Summary: 0.98r3 some clarification for graphs on likelihood contributions
                    270: 
1.205     brouard   271:   Revision 1.204  2015/10/01 16:20:26  brouard
                    272:   Summary: Some new graphs of contribution to likelihood
                    273: 
1.204     brouard   274:   Revision 1.203  2015/09/30 17:45:14  brouard
                    275:   Summary: looking at better estimation of the hessian
                    276: 
                    277:   Also a better criteria for convergence to the period prevalence And
                    278:   therefore adding the number of years needed to converge. (The
                    279:   prevalence in any alive state shold sum to one
                    280: 
1.203     brouard   281:   Revision 1.202  2015/09/22 19:45:16  brouard
                    282:   Summary: Adding some overall graph on contribution to likelihood. Might change
                    283: 
1.202     brouard   284:   Revision 1.201  2015/09/15 17:34:58  brouard
                    285:   Summary: 0.98r0
                    286: 
                    287:   - Some new graphs like suvival functions
                    288:   - Some bugs fixed like model=1+age+V2.
                    289: 
1.201     brouard   290:   Revision 1.200  2015/09/09 16:53:55  brouard
                    291:   Summary: Big bug thanks to Flavia
                    292: 
                    293:   Even model=1+age+V2. did not work anymore
                    294: 
1.200     brouard   295:   Revision 1.199  2015/09/07 14:09:23  brouard
                    296:   Summary: 0.98q6 changing default small png format for graph to vectorized svg.
                    297: 
1.199     brouard   298:   Revision 1.198  2015/09/03 07:14:39  brouard
                    299:   Summary: 0.98q5 Flavia
                    300: 
1.198     brouard   301:   Revision 1.197  2015/09/01 18:24:39  brouard
                    302:   *** empty log message ***
                    303: 
1.197     brouard   304:   Revision 1.196  2015/08/18 23:17:52  brouard
                    305:   Summary: 0.98q5
                    306: 
1.196     brouard   307:   Revision 1.195  2015/08/18 16:28:39  brouard
                    308:   Summary: Adding a hack for testing purpose
                    309: 
                    310:   After reading the title, ftol and model lines, if the comment line has
                    311:   a q, starting with #q, the answer at the end of the run is quit. It
                    312:   permits to run test files in batch with ctest. The former workaround was
                    313:   $ echo q | imach foo.imach
                    314: 
1.195     brouard   315:   Revision 1.194  2015/08/18 13:32:00  brouard
                    316:   Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
                    317: 
1.194     brouard   318:   Revision 1.193  2015/08/04 07:17:42  brouard
                    319:   Summary: 0.98q4
                    320: 
1.193     brouard   321:   Revision 1.192  2015/07/16 16:49:02  brouard
                    322:   Summary: Fixing some outputs
                    323: 
1.192     brouard   324:   Revision 1.191  2015/07/14 10:00:33  brouard
                    325:   Summary: Some fixes
                    326: 
1.191     brouard   327:   Revision 1.190  2015/05/05 08:51:13  brouard
                    328:   Summary: Adding digits in output parameters (7 digits instead of 6)
                    329: 
                    330:   Fix 1+age+.
                    331: 
1.190     brouard   332:   Revision 1.189  2015/04/30 14:45:16  brouard
                    333:   Summary: 0.98q2
                    334: 
1.189     brouard   335:   Revision 1.188  2015/04/30 08:27:53  brouard
                    336:   *** empty log message ***
                    337: 
1.188     brouard   338:   Revision 1.187  2015/04/29 09:11:15  brouard
                    339:   *** empty log message ***
                    340: 
1.187     brouard   341:   Revision 1.186  2015/04/23 12:01:52  brouard
                    342:   Summary: V1*age is working now, version 0.98q1
                    343: 
                    344:   Some codes had been disabled in order to simplify and Vn*age was
                    345:   working in the optimization phase, ie, giving correct MLE parameters,
                    346:   but, as usual, outputs were not correct and program core dumped.
                    347: 
1.186     brouard   348:   Revision 1.185  2015/03/11 13:26:42  brouard
                    349:   Summary: Inclusion of compile and links command line for Intel Compiler
                    350: 
1.185     brouard   351:   Revision 1.184  2015/03/11 11:52:39  brouard
                    352:   Summary: Back from Windows 8. Intel Compiler
                    353: 
1.184     brouard   354:   Revision 1.183  2015/03/10 20:34:32  brouard
                    355:   Summary: 0.98q0, trying with directest, mnbrak fixed
                    356: 
                    357:   We use directest instead of original Powell test; probably no
                    358:   incidence on the results, but better justifications;
                    359:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                    360:   wrong results.
                    361: 
1.183     brouard   362:   Revision 1.182  2015/02/12 08:19:57  brouard
                    363:   Summary: Trying to keep directest which seems simpler and more general
                    364:   Author: Nicolas Brouard
                    365: 
1.182     brouard   366:   Revision 1.181  2015/02/11 23:22:24  brouard
                    367:   Summary: Comments on Powell added
                    368: 
                    369:   Author:
                    370: 
1.181     brouard   371:   Revision 1.180  2015/02/11 17:33:45  brouard
                    372:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                    373: 
1.180     brouard   374:   Revision 1.179  2015/01/04 09:57:06  brouard
                    375:   Summary: back to OS/X
                    376: 
1.179     brouard   377:   Revision 1.178  2015/01/04 09:35:48  brouard
                    378:   *** empty log message ***
                    379: 
1.178     brouard   380:   Revision 1.177  2015/01/03 18:40:56  brouard
                    381:   Summary: Still testing ilc32 on OSX
                    382: 
1.177     brouard   383:   Revision 1.176  2015/01/03 16:45:04  brouard
                    384:   *** empty log message ***
                    385: 
1.176     brouard   386:   Revision 1.175  2015/01/03 16:33:42  brouard
                    387:   *** empty log message ***
                    388: 
1.175     brouard   389:   Revision 1.174  2015/01/03 16:15:49  brouard
                    390:   Summary: Still in cross-compilation
                    391: 
1.174     brouard   392:   Revision 1.173  2015/01/03 12:06:26  brouard
                    393:   Summary: trying to detect cross-compilation
                    394: 
1.173     brouard   395:   Revision 1.172  2014/12/27 12:07:47  brouard
                    396:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                    397: 
1.172     brouard   398:   Revision 1.171  2014/12/23 13:26:59  brouard
                    399:   Summary: Back from Visual C
                    400: 
                    401:   Still problem with utsname.h on Windows
                    402: 
1.171     brouard   403:   Revision 1.170  2014/12/23 11:17:12  brouard
                    404:   Summary: Cleaning some \%% back to %%
                    405: 
                    406:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                    407: 
1.170     brouard   408:   Revision 1.169  2014/12/22 23:08:31  brouard
                    409:   Summary: 0.98p
                    410: 
                    411:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                    412: 
1.169     brouard   413:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard   414:   Summary: update
1.169     brouard   415: 
1.168     brouard   416:   Revision 1.167  2014/12/22 13:50:56  brouard
                    417:   Summary: Testing uname and compiler version and if compiled 32 or 64
                    418: 
                    419:   Testing on Linux 64
                    420: 
1.167     brouard   421:   Revision 1.166  2014/12/22 11:40:47  brouard
                    422:   *** empty log message ***
                    423: 
1.166     brouard   424:   Revision 1.165  2014/12/16 11:20:36  brouard
                    425:   Summary: After compiling on Visual C
                    426: 
                    427:   * imach.c (Module): Merging 1.61 to 1.162
                    428: 
1.165     brouard   429:   Revision 1.164  2014/12/16 10:52:11  brouard
                    430:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    431: 
                    432:   * imach.c (Module): Merging 1.61 to 1.162
                    433: 
1.164     brouard   434:   Revision 1.163  2014/12/16 10:30:11  brouard
                    435:   * imach.c (Module): Merging 1.61 to 1.162
                    436: 
1.163     brouard   437:   Revision 1.162  2014/09/25 11:43:39  brouard
                    438:   Summary: temporary backup 0.99!
                    439: 
1.162     brouard   440:   Revision 1.1  2014/09/16 11:06:58  brouard
                    441:   Summary: With some code (wrong) for nlopt
                    442: 
                    443:   Author:
                    444: 
                    445:   Revision 1.161  2014/09/15 20:41:41  brouard
                    446:   Summary: Problem with macro SQR on Intel compiler
                    447: 
1.161     brouard   448:   Revision 1.160  2014/09/02 09:24:05  brouard
                    449:   *** empty log message ***
                    450: 
1.160     brouard   451:   Revision 1.159  2014/09/01 10:34:10  brouard
                    452:   Summary: WIN32
                    453:   Author: Brouard
                    454: 
1.159     brouard   455:   Revision 1.158  2014/08/27 17:11:51  brouard
                    456:   *** empty log message ***
                    457: 
1.158     brouard   458:   Revision 1.157  2014/08/27 16:26:55  brouard
                    459:   Summary: Preparing windows Visual studio version
                    460:   Author: Brouard
                    461: 
                    462:   In order to compile on Visual studio, time.h is now correct and time_t
                    463:   and tm struct should be used. difftime should be used but sometimes I
                    464:   just make the differences in raw time format (time(&now).
                    465:   Trying to suppress #ifdef LINUX
                    466:   Add xdg-open for __linux in order to open default browser.
                    467: 
1.157     brouard   468:   Revision 1.156  2014/08/25 20:10:10  brouard
                    469:   *** empty log message ***
                    470: 
1.156     brouard   471:   Revision 1.155  2014/08/25 18:32:34  brouard
                    472:   Summary: New compile, minor changes
                    473:   Author: Brouard
                    474: 
1.155     brouard   475:   Revision 1.154  2014/06/20 17:32:08  brouard
                    476:   Summary: Outputs now all graphs of convergence to period prevalence
                    477: 
1.154     brouard   478:   Revision 1.153  2014/06/20 16:45:46  brouard
                    479:   Summary: If 3 live state, convergence to period prevalence on same graph
                    480:   Author: Brouard
                    481: 
1.153     brouard   482:   Revision 1.152  2014/06/18 17:54:09  brouard
                    483:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    484: 
1.152     brouard   485:   Revision 1.151  2014/06/18 16:43:30  brouard
                    486:   *** empty log message ***
                    487: 
1.151     brouard   488:   Revision 1.150  2014/06/18 16:42:35  brouard
                    489:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    490:   Author: brouard
                    491: 
1.150     brouard   492:   Revision 1.149  2014/06/18 15:51:14  brouard
                    493:   Summary: Some fixes in parameter files errors
                    494:   Author: Nicolas Brouard
                    495: 
1.149     brouard   496:   Revision 1.148  2014/06/17 17:38:48  brouard
                    497:   Summary: Nothing new
                    498:   Author: Brouard
                    499: 
                    500:   Just a new packaging for OS/X version 0.98nS
                    501: 
1.148     brouard   502:   Revision 1.147  2014/06/16 10:33:11  brouard
                    503:   *** empty log message ***
                    504: 
1.147     brouard   505:   Revision 1.146  2014/06/16 10:20:28  brouard
                    506:   Summary: Merge
                    507:   Author: Brouard
                    508: 
                    509:   Merge, before building revised version.
                    510: 
1.146     brouard   511:   Revision 1.145  2014/06/10 21:23:15  brouard
                    512:   Summary: Debugging with valgrind
                    513:   Author: Nicolas Brouard
                    514: 
                    515:   Lot of changes in order to output the results with some covariates
                    516:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    517:   improve the code.
                    518:   No more memory valgrind error but a lot has to be done in order to
                    519:   continue the work of splitting the code into subroutines.
                    520:   Also, decodemodel has been improved. Tricode is still not
                    521:   optimal. nbcode should be improved. Documentation has been added in
                    522:   the source code.
                    523: 
1.144     brouard   524:   Revision 1.143  2014/01/26 09:45:38  brouard
                    525:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    526: 
                    527:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    528:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    529: 
1.143     brouard   530:   Revision 1.142  2014/01/26 03:57:36  brouard
                    531:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    532: 
                    533:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    534: 
1.142     brouard   535:   Revision 1.141  2014/01/26 02:42:01  brouard
                    536:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    537: 
1.141     brouard   538:   Revision 1.140  2011/09/02 10:37:54  brouard
                    539:   Summary: times.h is ok with mingw32 now.
                    540: 
1.140     brouard   541:   Revision 1.139  2010/06/14 07:50:17  brouard
                    542:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    543:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    544: 
1.139     brouard   545:   Revision 1.138  2010/04/30 18:19:40  brouard
                    546:   *** empty log message ***
                    547: 
1.138     brouard   548:   Revision 1.137  2010/04/29 18:11:38  brouard
                    549:   (Module): Checking covariates for more complex models
                    550:   than V1+V2. A lot of change to be done. Unstable.
                    551: 
1.137     brouard   552:   Revision 1.136  2010/04/26 20:30:53  brouard
                    553:   (Module): merging some libgsl code. Fixing computation
                    554:   of likelione (using inter/intrapolation if mle = 0) in order to
                    555:   get same likelihood as if mle=1.
                    556:   Some cleaning of code and comments added.
                    557: 
1.136     brouard   558:   Revision 1.135  2009/10/29 15:33:14  brouard
                    559:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    560: 
1.135     brouard   561:   Revision 1.134  2009/10/29 13:18:53  brouard
                    562:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    563: 
1.134     brouard   564:   Revision 1.133  2009/07/06 10:21:25  brouard
                    565:   just nforces
                    566: 
1.133     brouard   567:   Revision 1.132  2009/07/06 08:22:05  brouard
                    568:   Many tings
                    569: 
1.132     brouard   570:   Revision 1.131  2009/06/20 16:22:47  brouard
                    571:   Some dimensions resccaled
                    572: 
1.131     brouard   573:   Revision 1.130  2009/05/26 06:44:34  brouard
                    574:   (Module): Max Covariate is now set to 20 instead of 8. A
                    575:   lot of cleaning with variables initialized to 0. Trying to make
                    576:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    577: 
1.130     brouard   578:   Revision 1.129  2007/08/31 13:49:27  lievre
                    579:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    580: 
1.129     lievre    581:   Revision 1.128  2006/06/30 13:02:05  brouard
                    582:   (Module): Clarifications on computing e.j
                    583: 
1.128     brouard   584:   Revision 1.127  2006/04/28 18:11:50  brouard
                    585:   (Module): Yes the sum of survivors was wrong since
                    586:   imach-114 because nhstepm was no more computed in the age
                    587:   loop. Now we define nhstepma in the age loop.
                    588:   (Module): In order to speed up (in case of numerous covariates) we
                    589:   compute health expectancies (without variances) in a first step
                    590:   and then all the health expectancies with variances or standard
                    591:   deviation (needs data from the Hessian matrices) which slows the
                    592:   computation.
                    593:   In the future we should be able to stop the program is only health
                    594:   expectancies and graph are needed without standard deviations.
                    595: 
1.127     brouard   596:   Revision 1.126  2006/04/28 17:23:28  brouard
                    597:   (Module): Yes the sum of survivors was wrong since
                    598:   imach-114 because nhstepm was no more computed in the age
                    599:   loop. Now we define nhstepma in the age loop.
                    600:   Version 0.98h
                    601: 
1.126     brouard   602:   Revision 1.125  2006/04/04 15:20:31  lievre
                    603:   Errors in calculation of health expectancies. Age was not initialized.
                    604:   Forecasting file added.
                    605: 
                    606:   Revision 1.124  2006/03/22 17:13:53  lievre
                    607:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    608:   The log-likelihood is printed in the log file
                    609: 
                    610:   Revision 1.123  2006/03/20 10:52:43  brouard
                    611:   * imach.c (Module): <title> changed, corresponds to .htm file
                    612:   name. <head> headers where missing.
                    613: 
                    614:   * imach.c (Module): Weights can have a decimal point as for
                    615:   English (a comma might work with a correct LC_NUMERIC environment,
                    616:   otherwise the weight is truncated).
                    617:   Modification of warning when the covariates values are not 0 or
                    618:   1.
                    619:   Version 0.98g
                    620: 
                    621:   Revision 1.122  2006/03/20 09:45:41  brouard
                    622:   (Module): Weights can have a decimal point as for
                    623:   English (a comma might work with a correct LC_NUMERIC environment,
                    624:   otherwise the weight is truncated).
                    625:   Modification of warning when the covariates values are not 0 or
                    626:   1.
                    627:   Version 0.98g
                    628: 
                    629:   Revision 1.121  2006/03/16 17:45:01  lievre
                    630:   * imach.c (Module): Comments concerning covariates added
                    631: 
                    632:   * imach.c (Module): refinements in the computation of lli if
                    633:   status=-2 in order to have more reliable computation if stepm is
                    634:   not 1 month. Version 0.98f
                    635: 
                    636:   Revision 1.120  2006/03/16 15:10:38  lievre
                    637:   (Module): refinements in the computation of lli if
                    638:   status=-2 in order to have more reliable computation if stepm is
                    639:   not 1 month. Version 0.98f
                    640: 
                    641:   Revision 1.119  2006/03/15 17:42:26  brouard
                    642:   (Module): Bug if status = -2, the loglikelihood was
                    643:   computed as likelihood omitting the logarithm. Version O.98e
                    644: 
                    645:   Revision 1.118  2006/03/14 18:20:07  brouard
                    646:   (Module): varevsij Comments added explaining the second
                    647:   table of variances if popbased=1 .
                    648:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    649:   (Module): Function pstamp added
                    650:   (Module): Version 0.98d
                    651: 
                    652:   Revision 1.117  2006/03/14 17:16:22  brouard
                    653:   (Module): varevsij Comments added explaining the second
                    654:   table of variances if popbased=1 .
                    655:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    656:   (Module): Function pstamp added
                    657:   (Module): Version 0.98d
                    658: 
                    659:   Revision 1.116  2006/03/06 10:29:27  brouard
                    660:   (Module): Variance-covariance wrong links and
                    661:   varian-covariance of ej. is needed (Saito).
                    662: 
                    663:   Revision 1.115  2006/02/27 12:17:45  brouard
                    664:   (Module): One freematrix added in mlikeli! 0.98c
                    665: 
                    666:   Revision 1.114  2006/02/26 12:57:58  brouard
                    667:   (Module): Some improvements in processing parameter
                    668:   filename with strsep.
                    669: 
                    670:   Revision 1.113  2006/02/24 14:20:24  brouard
                    671:   (Module): Memory leaks checks with valgrind and:
                    672:   datafile was not closed, some imatrix were not freed and on matrix
                    673:   allocation too.
                    674: 
                    675:   Revision 1.112  2006/01/30 09:55:26  brouard
                    676:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    677: 
                    678:   Revision 1.111  2006/01/25 20:38:18  brouard
                    679:   (Module): Lots of cleaning and bugs added (Gompertz)
                    680:   (Module): Comments can be added in data file. Missing date values
                    681:   can be a simple dot '.'.
                    682: 
                    683:   Revision 1.110  2006/01/25 00:51:50  brouard
                    684:   (Module): Lots of cleaning and bugs added (Gompertz)
                    685: 
                    686:   Revision 1.109  2006/01/24 19:37:15  brouard
                    687:   (Module): Comments (lines starting with a #) are allowed in data.
                    688: 
                    689:   Revision 1.108  2006/01/19 18:05:42  lievre
                    690:   Gnuplot problem appeared...
                    691:   To be fixed
                    692: 
                    693:   Revision 1.107  2006/01/19 16:20:37  brouard
                    694:   Test existence of gnuplot in imach path
                    695: 
                    696:   Revision 1.106  2006/01/19 13:24:36  brouard
                    697:   Some cleaning and links added in html output
                    698: 
                    699:   Revision 1.105  2006/01/05 20:23:19  lievre
                    700:   *** empty log message ***
                    701: 
                    702:   Revision 1.104  2005/09/30 16:11:43  lievre
                    703:   (Module): sump fixed, loop imx fixed, and simplifications.
                    704:   (Module): If the status is missing at the last wave but we know
                    705:   that the person is alive, then we can code his/her status as -2
                    706:   (instead of missing=-1 in earlier versions) and his/her
                    707:   contributions to the likelihood is 1 - Prob of dying from last
                    708:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    709:   the healthy state at last known wave). Version is 0.98
                    710: 
                    711:   Revision 1.103  2005/09/30 15:54:49  lievre
                    712:   (Module): sump fixed, loop imx fixed, and simplifications.
                    713: 
                    714:   Revision 1.102  2004/09/15 17:31:30  brouard
                    715:   Add the possibility to read data file including tab characters.
                    716: 
                    717:   Revision 1.101  2004/09/15 10:38:38  brouard
                    718:   Fix on curr_time
                    719: 
                    720:   Revision 1.100  2004/07/12 18:29:06  brouard
                    721:   Add version for Mac OS X. Just define UNIX in Makefile
                    722: 
                    723:   Revision 1.99  2004/06/05 08:57:40  brouard
                    724:   *** empty log message ***
                    725: 
                    726:   Revision 1.98  2004/05/16 15:05:56  brouard
                    727:   New version 0.97 . First attempt to estimate force of mortality
                    728:   directly from the data i.e. without the need of knowing the health
                    729:   state at each age, but using a Gompertz model: log u =a + b*age .
                    730:   This is the basic analysis of mortality and should be done before any
                    731:   other analysis, in order to test if the mortality estimated from the
                    732:   cross-longitudinal survey is different from the mortality estimated
                    733:   from other sources like vital statistic data.
                    734: 
                    735:   The same imach parameter file can be used but the option for mle should be -3.
                    736: 
1.133     brouard   737:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   738:   former routines in order to include the new code within the former code.
                    739: 
                    740:   The output is very simple: only an estimate of the intercept and of
                    741:   the slope with 95% confident intervals.
                    742: 
                    743:   Current limitations:
                    744:   A) Even if you enter covariates, i.e. with the
                    745:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    746:   B) There is no computation of Life Expectancy nor Life Table.
                    747: 
                    748:   Revision 1.97  2004/02/20 13:25:42  lievre
                    749:   Version 0.96d. Population forecasting command line is (temporarily)
                    750:   suppressed.
                    751: 
                    752:   Revision 1.96  2003/07/15 15:38:55  brouard
                    753:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    754:   rewritten within the same printf. Workaround: many printfs.
                    755: 
                    756:   Revision 1.95  2003/07/08 07:54:34  brouard
                    757:   * imach.c (Repository):
                    758:   (Repository): Using imachwizard code to output a more meaningful covariance
                    759:   matrix (cov(a12,c31) instead of numbers.
                    760: 
                    761:   Revision 1.94  2003/06/27 13:00:02  brouard
                    762:   Just cleaning
                    763: 
                    764:   Revision 1.93  2003/06/25 16:33:55  brouard
                    765:   (Module): On windows (cygwin) function asctime_r doesn't
                    766:   exist so I changed back to asctime which exists.
                    767:   (Module): Version 0.96b
                    768: 
                    769:   Revision 1.92  2003/06/25 16:30:45  brouard
                    770:   (Module): On windows (cygwin) function asctime_r doesn't
                    771:   exist so I changed back to asctime which exists.
                    772: 
                    773:   Revision 1.91  2003/06/25 15:30:29  brouard
                    774:   * imach.c (Repository): Duplicated warning errors corrected.
                    775:   (Repository): Elapsed time after each iteration is now output. It
                    776:   helps to forecast when convergence will be reached. Elapsed time
                    777:   is stamped in powell.  We created a new html file for the graphs
                    778:   concerning matrix of covariance. It has extension -cov.htm.
                    779: 
                    780:   Revision 1.90  2003/06/24 12:34:15  brouard
                    781:   (Module): Some bugs corrected for windows. Also, when
                    782:   mle=-1 a template is output in file "or"mypar.txt with the design
                    783:   of the covariance matrix to be input.
                    784: 
                    785:   Revision 1.89  2003/06/24 12:30:52  brouard
                    786:   (Module): Some bugs corrected for windows. Also, when
                    787:   mle=-1 a template is output in file "or"mypar.txt with the design
                    788:   of the covariance matrix to be input.
                    789: 
                    790:   Revision 1.88  2003/06/23 17:54:56  brouard
                    791:   * 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.
                    792: 
                    793:   Revision 1.87  2003/06/18 12:26:01  brouard
                    794:   Version 0.96
                    795: 
                    796:   Revision 1.86  2003/06/17 20:04:08  brouard
                    797:   (Module): Change position of html and gnuplot routines and added
                    798:   routine fileappend.
                    799: 
                    800:   Revision 1.85  2003/06/17 13:12:43  brouard
                    801:   * imach.c (Repository): Check when date of death was earlier that
                    802:   current date of interview. It may happen when the death was just
                    803:   prior to the death. In this case, dh was negative and likelihood
                    804:   was wrong (infinity). We still send an "Error" but patch by
                    805:   assuming that the date of death was just one stepm after the
                    806:   interview.
                    807:   (Repository): Because some people have very long ID (first column)
                    808:   we changed int to long in num[] and we added a new lvector for
                    809:   memory allocation. But we also truncated to 8 characters (left
                    810:   truncation)
                    811:   (Repository): No more line truncation errors.
                    812: 
                    813:   Revision 1.84  2003/06/13 21:44:43  brouard
                    814:   * imach.c (Repository): Replace "freqsummary" at a correct
                    815:   place. It differs from routine "prevalence" which may be called
                    816:   many times. Probs is memory consuming and must be used with
                    817:   parcimony.
                    818:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    819: 
                    820:   Revision 1.83  2003/06/10 13:39:11  lievre
                    821:   *** empty log message ***
                    822: 
                    823:   Revision 1.82  2003/06/05 15:57:20  brouard
                    824:   Add log in  imach.c and  fullversion number is now printed.
                    825: 
                    826: */
                    827: /*
                    828:    Interpolated Markov Chain
                    829: 
                    830:   Short summary of the programme:
                    831:   
1.227     brouard   832:   This program computes Healthy Life Expectancies or State-specific
                    833:   (if states aren't health statuses) Expectancies from
                    834:   cross-longitudinal data. Cross-longitudinal data consist in: 
                    835: 
                    836:   -1- a first survey ("cross") where individuals from different ages
                    837:   are interviewed on their health status or degree of disability (in
                    838:   the case of a health survey which is our main interest)
                    839: 
                    840:   -2- at least a second wave of interviews ("longitudinal") which
                    841:   measure each change (if any) in individual health status.  Health
                    842:   expectancies are computed from the time spent in each health state
                    843:   according to a model. More health states you consider, more time is
                    844:   necessary to reach the Maximum Likelihood of the parameters involved
                    845:   in the model.  The simplest model is the multinomial logistic model
                    846:   where pij is the probability to be observed in state j at the second
                    847:   wave conditional to be observed in state i at the first
                    848:   wave. Therefore the model is: log(pij/pii)= aij + bij*age+ cij*sex +
                    849:   etc , where 'age' is age and 'sex' is a covariate. If you want to
                    850:   have a more complex model than "constant and age", you should modify
                    851:   the program where the markup *Covariates have to be included here
                    852:   again* invites you to do it.  More covariates you add, slower the
1.126     brouard   853:   convergence.
                    854: 
                    855:   The advantage of this computer programme, compared to a simple
                    856:   multinomial logistic model, is clear when the delay between waves is not
                    857:   identical for each individual. Also, if a individual missed an
                    858:   intermediate interview, the information is lost, but taken into
                    859:   account using an interpolation or extrapolation.  
                    860: 
                    861:   hPijx is the probability to be observed in state i at age x+h
                    862:   conditional to the observed state i at age x. The delay 'h' can be
                    863:   split into an exact number (nh*stepm) of unobserved intermediate
                    864:   states. This elementary transition (by month, quarter,
                    865:   semester or year) is modelled as a multinomial logistic.  The hPx
                    866:   matrix is simply the matrix product of nh*stepm elementary matrices
                    867:   and the contribution of each individual to the likelihood is simply
                    868:   hPijx.
                    869: 
                    870:   Also this programme outputs the covariance matrix of the parameters but also
1.218     brouard   871:   of the life expectancies. It also computes the period (stable) prevalence.
                    872: 
                    873: Back prevalence and projections:
1.227     brouard   874: 
                    875:  - back_prevalence_limit(double *p, double **bprlim, double ageminpar,
                    876:    double agemaxpar, double ftolpl, int *ncvyearp, double
                    877:    dateprev1,double dateprev2, int firstpass, int lastpass, int
                    878:    mobilavproj)
                    879: 
                    880:     Computes the back prevalence limit for any combination of
                    881:     covariate values k at any age between ageminpar and agemaxpar and
                    882:     returns it in **bprlim. In the loops,
                    883: 
                    884:    - **bprevalim(**bprlim, ***mobaverage, nlstate, *p, age, **oldm,
                    885:        **savm, **dnewm, **doldm, **dsavm, ftolpl, ncvyearp, k);
                    886: 
                    887:    - hBijx Back Probability to be in state i at age x-h being in j at x
1.218     brouard   888:    Computes for any combination of covariates k and any age between bage and fage 
                    889:    p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                    890:                        oldm=oldms;savm=savms;
1.227     brouard   891: 
1.267     brouard   892:    - hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k, nres);
1.218     brouard   893:      Computes the transition matrix starting at age 'age' over
                    894:      'nhstepm*hstepm*stepm' months (i.e. until
                    895:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
1.227     brouard   896:      nhstepm*hstepm matrices. 
                    897: 
                    898:      Returns p3mat[i][j][h] after calling
                    899:      p3mat[i][j][h]=matprod2(newm,
                    900:      bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm,
                    901:      dsavm,ij),\ 1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,
                    902:      oldm);
1.226     brouard   903: 
                    904: Important routines
                    905: 
                    906: - func (or funcone), computes logit (pij) distinguishing
                    907:   o fixed variables (single or product dummies or quantitative);
                    908:   o varying variables by:
                    909:    (1) wave (single, product dummies, quantitative), 
                    910:    (2) by age (can be month) age (done), age*age (done), age*Vn where Vn can be:
                    911:        % fixed dummy (treated) or quantitative (not done because time-consuming);
                    912:        % varying dummy (not done) or quantitative (not done);
                    913: - Tricode which tests the modality of dummy variables (in order to warn with wrong or empty modalities)
                    914:   and returns the number of efficient covariates cptcoveff and modalities nbcode[Tvar[k]][1]= 0 and nbcode[Tvar[k]][2]= 1 usually.
                    915: - printinghtml which outputs results like life expectancy in and from a state for a combination of modalities of dummy variables
                    916:   o There are 2*cptcoveff combinations of (0,1) for cptcoveff variables. Outputting only combinations with people, éliminating 1 1 if
                    917:     race White (0 0), Black vs White (1 0), Hispanic (0 1) and 1 1 being meaningless.
1.218     brouard   918: 
1.226     brouard   919: 
                    920:   
1.133     brouard   921:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                    922:            Institut national d'études démographiques, Paris.
1.126     brouard   923:   This software have been partly granted by Euro-REVES, a concerted action
                    924:   from the European Union.
                    925:   It is copyrighted identically to a GNU software product, ie programme and
                    926:   software can be distributed freely for non commercial use. Latest version
                    927:   can be accessed at http://euroreves.ined.fr/imach .
                    928: 
                    929:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                    930:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                    931:   
                    932:   **********************************************************************/
                    933: /*
                    934:   main
                    935:   read parameterfile
                    936:   read datafile
                    937:   concatwav
                    938:   freqsummary
                    939:   if (mle >= 1)
                    940:     mlikeli
                    941:   print results files
                    942:   if mle==1 
                    943:      computes hessian
                    944:   read end of parameter file: agemin, agemax, bage, fage, estepm
                    945:       begin-prev-date,...
                    946:   open gnuplot file
                    947:   open html file
1.145     brouard   948:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                    949:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                    950:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                    951:     freexexit2 possible for memory heap.
                    952: 
                    953:   h Pij x                         | pij_nom  ficrestpij
                    954:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                    955:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                    956:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                    957: 
                    958:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                    959:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                    960:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                    961:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                    962:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                    963: 
1.126     brouard   964:   forecasting if prevfcast==1 prevforecast call prevalence()
                    965:   health expectancies
                    966:   Variance-covariance of DFLE
                    967:   prevalence()
                    968:    movingaverage()
                    969:   varevsij() 
                    970:   if popbased==1 varevsij(,popbased)
                    971:   total life expectancies
                    972:   Variance of period (stable) prevalence
                    973:  end
                    974: */
                    975: 
1.187     brouard   976: /* #define DEBUG */
                    977: /* #define DEBUGBRENT */
1.203     brouard   978: /* #define DEBUGLINMIN */
                    979: /* #define DEBUGHESS */
                    980: #define DEBUGHESSIJ
1.224     brouard   981: /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan) *\/ */
1.165     brouard   982: #define POWELL /* Instead of NLOPT */
1.224     brouard   983: #define POWELLNOF3INFF1TEST /* Skip test */
1.186     brouard   984: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                    985: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.126     brouard   986: 
                    987: #include <math.h>
                    988: #include <stdio.h>
                    989: #include <stdlib.h>
                    990: #include <string.h>
1.226     brouard   991: #include <ctype.h>
1.159     brouard   992: 
                    993: #ifdef _WIN32
                    994: #include <io.h>
1.172     brouard   995: #include <windows.h>
                    996: #include <tchar.h>
1.159     brouard   997: #else
1.126     brouard   998: #include <unistd.h>
1.159     brouard   999: #endif
1.126     brouard  1000: 
                   1001: #include <limits.h>
                   1002: #include <sys/types.h>
1.171     brouard  1003: 
                   1004: #if defined(__GNUC__)
                   1005: #include <sys/utsname.h> /* Doesn't work on Windows */
                   1006: #endif
                   1007: 
1.126     brouard  1008: #include <sys/stat.h>
                   1009: #include <errno.h>
1.159     brouard  1010: /* extern int errno; */
1.126     brouard  1011: 
1.157     brouard  1012: /* #ifdef LINUX */
                   1013: /* #include <time.h> */
                   1014: /* #include "timeval.h" */
                   1015: /* #else */
                   1016: /* #include <sys/time.h> */
                   1017: /* #endif */
                   1018: 
1.126     brouard  1019: #include <time.h>
                   1020: 
1.136     brouard  1021: #ifdef GSL
                   1022: #include <gsl/gsl_errno.h>
                   1023: #include <gsl/gsl_multimin.h>
                   1024: #endif
                   1025: 
1.167     brouard  1026: 
1.162     brouard  1027: #ifdef NLOPT
                   1028: #include <nlopt.h>
                   1029: typedef struct {
                   1030:   double (* function)(double [] );
                   1031: } myfunc_data ;
                   1032: #endif
                   1033: 
1.126     brouard  1034: /* #include <libintl.h> */
                   1035: /* #define _(String) gettext (String) */
                   1036: 
1.251     brouard  1037: #define MAXLINE 2048 /* Was 256 and 1024. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard  1038: 
                   1039: #define GNUPLOTPROGRAM "gnuplot"
                   1040: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                   1041: #define FILENAMELENGTH 132
                   1042: 
                   1043: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                   1044: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                   1045: 
1.144     brouard  1046: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                   1047: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard  1048: 
                   1049: #define NINTERVMAX 8
1.144     brouard  1050: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                   1051: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
1.290   ! brouard  1052: /* #define NCOVMAX 20 */ /**< Maximum number of covariates, including generated covariates V1*V2 */
1.197     brouard  1053: #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.211     brouard  1054: /*#define decodtabm(h,k,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (k-1)) & 1) +1 : -1)*/
                   1055: #define decodtabm(h,k,cptcoveff) (((h-1) >> (k-1)) & 1) +1 
1.290   ! brouard  1056: /*#define MAXN 20000 */ /* Should by replaced by nobs, real number of observations and unlimited */
1.144     brouard  1057: #define YEARM 12. /**< Number of months per year */
1.218     brouard  1058: /* #define AGESUP 130 */
1.288     brouard  1059: /* #define AGESUP 150 */
                   1060: #define AGESUP 200
1.268     brouard  1061: #define AGEINF 0
1.218     brouard  1062: #define AGEMARGE 25 /* Marge for agemin and agemax for(iage=agemin-AGEMARGE; iage <= agemax+3+AGEMARGE; iage++) */
1.126     brouard  1063: #define AGEBASE 40
1.194     brouard  1064: #define AGEOVERFLOW 1.e20
1.164     brouard  1065: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard  1066: #ifdef _WIN32
                   1067: #define DIRSEPARATOR '\\'
                   1068: #define CHARSEPARATOR "\\"
                   1069: #define ODIRSEPARATOR '/'
                   1070: #else
1.126     brouard  1071: #define DIRSEPARATOR '/'
                   1072: #define CHARSEPARATOR "/"
                   1073: #define ODIRSEPARATOR '\\'
                   1074: #endif
                   1075: 
1.290   ! brouard  1076: /* $Id: imach.c,v 1.289 2018/12/13 09:16:26 brouard Exp $ */
1.126     brouard  1077: /* $State: Exp $ */
1.196     brouard  1078: #include "version.h"
                   1079: char version[]=__IMACH_VERSION__;
1.283     brouard  1080: 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";
1.290   ! brouard  1081: char fullversion[]="$Revision: 1.289 $ $Date: 2018/12/13 09:16:26 $"; 
1.126     brouard  1082: char strstart[80];
                   1083: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard  1084: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard  1085: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard  1086: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                   1087: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                   1088: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
1.225     brouard  1089: int cptcovs=0; /**< cptcovs number of simple covariates in the model V2+V1 =2 */
                   1090: int cptcovsnq=0; /**< cptcovsnq number of simple covariates in the model but non quantitative V2+V1 =2 */
1.145     brouard  1091: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                   1092: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                   1093: int cptcoveff=0; /* Total number of covariates to vary for printing results */
1.233     brouard  1094: int ncovf=0; /* Total number of effective fixed covariates (dummy or quantitative) in the model */
                   1095: int ncovv=0; /* Total number of effective (wave) varying covariates (dummy or quantitative) in the model */
1.232     brouard  1096: int ncova=0; /* Total number of effective (wave and stepm) varying with age covariates (dummy of quantitative) in the model */
1.234     brouard  1097: int nsd=0; /**< Total number of single dummy variables (output) */
                   1098: int nsq=0; /**< Total number of single quantitative variables (output) */
1.232     brouard  1099: int ncoveff=0; /* Total number of effective fixed dummy covariates in the model */
1.225     brouard  1100: int nqfveff=0; /**< nqfveff Number of Quantitative Fixed Variables Effective */
1.224     brouard  1101: int ntveff=0; /**< ntveff number of effective time varying variables */
                   1102: int nqtveff=0; /**< ntqveff number of effective time varying quantitative variables */
1.145     brouard  1103: int cptcov=0; /* Working variable */
1.290   ! brouard  1104: int nobs=10;  /* Number of observations in the data lastobs-firstobs */
1.218     brouard  1105: int ncovcombmax=NCOVMAX; /* Maximum calculated number of covariate combination = pow(2, cptcoveff) */
1.126     brouard  1106: int npar=NPARMAX;
                   1107: int nlstate=2; /* Number of live states */
                   1108: int ndeath=1; /* Number of dead states */
1.130     brouard  1109: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.223     brouard  1110: int  nqv=0, ntv=0, nqtv=0;    /* Total number of quantitative variables, time variable (dummy), quantitative and time variable */ 
1.126     brouard  1111: int popbased=0;
                   1112: 
                   1113: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard  1114: int maxwav=0; /* Maxim number of waves */
                   1115: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                   1116: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                   1117: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard  1118:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard  1119: int mle=1, weightopt=0;
1.126     brouard  1120: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                   1121: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                   1122: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                   1123:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard  1124: int countcallfunc=0;  /* Count the number of calls to func */
1.230     brouard  1125: int selected(int kvar); /* Is covariate kvar selected for printing results */
                   1126: 
1.130     brouard  1127: double jmean=1; /* Mean space between 2 waves */
1.145     brouard  1128: double **matprod2(); /* test */
1.126     brouard  1129: double **oldm, **newm, **savm; /* Working pointers to matrices */
                   1130: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.218     brouard  1131: double  **ddnewms, **ddoldms, **ddsavms; /* for freeing later */
                   1132: 
1.136     brouard  1133: /*FILE *fic ; */ /* Used in readdata only */
1.217     brouard  1134: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficresphtm, *ficresphtmfr, *ficrespl, *ficresplb,*ficrespij, *ficrespijb, *ficrest,*ficresf, *ficresfb,*ficrespop;
1.126     brouard  1135: FILE *ficlog, *ficrespow;
1.130     brouard  1136: int globpr=0; /* Global variable for printing or not */
1.126     brouard  1137: double fretone; /* Only one call to likelihood */
1.130     brouard  1138: long ipmx=0; /* Number of contributions */
1.126     brouard  1139: double sw; /* Sum of weights */
                   1140: char filerespow[FILENAMELENGTH];
                   1141: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                   1142: FILE *ficresilk;
                   1143: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                   1144: FILE *ficresprobmorprev;
                   1145: FILE *fichtm, *fichtmcov; /* Html File */
                   1146: FILE *ficreseij;
                   1147: char filerese[FILENAMELENGTH];
                   1148: FILE *ficresstdeij;
                   1149: char fileresstde[FILENAMELENGTH];
                   1150: FILE *ficrescveij;
                   1151: char filerescve[FILENAMELENGTH];
                   1152: FILE  *ficresvij;
                   1153: char fileresv[FILENAMELENGTH];
1.269     brouard  1154: 
1.126     brouard  1155: char title[MAXLINE];
1.234     brouard  1156: char model[MAXLINE]; /**< The model line */
1.217     brouard  1157: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH],  fileresplb[FILENAMELENGTH];
1.126     brouard  1158: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                   1159: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                   1160: char command[FILENAMELENGTH];
                   1161: int  outcmd=0;
                   1162: 
1.217     brouard  1163: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filerespijb[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
1.202     brouard  1164: char fileresu[FILENAMELENGTH]; /* fileres without r in front */
1.126     brouard  1165: char filelog[FILENAMELENGTH]; /* Log file */
                   1166: char filerest[FILENAMELENGTH];
                   1167: char fileregp[FILENAMELENGTH];
                   1168: char popfile[FILENAMELENGTH];
                   1169: 
                   1170: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                   1171: 
1.157     brouard  1172: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                   1173: /* struct timezone tzp; */
                   1174: /* extern int gettimeofday(); */
                   1175: struct tm tml, *gmtime(), *localtime();
                   1176: 
                   1177: extern time_t time();
                   1178: 
                   1179: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                   1180: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                   1181: struct tm tm;
                   1182: 
1.126     brouard  1183: char strcurr[80], strfor[80];
                   1184: 
                   1185: char *endptr;
                   1186: long lval;
                   1187: double dval;
                   1188: 
                   1189: #define NR_END 1
                   1190: #define FREE_ARG char*
                   1191: #define FTOL 1.0e-10
                   1192: 
                   1193: #define NRANSI 
1.240     brouard  1194: #define ITMAX 200
                   1195: #define ITPOWMAX 20 /* This is now multiplied by the number of parameters */ 
1.126     brouard  1196: 
                   1197: #define TOL 2.0e-4 
                   1198: 
                   1199: #define CGOLD 0.3819660 
                   1200: #define ZEPS 1.0e-10 
                   1201: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                   1202: 
                   1203: #define GOLD 1.618034 
                   1204: #define GLIMIT 100.0 
                   1205: #define TINY 1.0e-20 
                   1206: 
                   1207: static double maxarg1,maxarg2;
                   1208: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                   1209: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                   1210:   
                   1211: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                   1212: #define rint(a) floor(a+0.5)
1.166     brouard  1213: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard  1214: #define mytinydouble 1.0e-16
1.166     brouard  1215: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                   1216: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                   1217: /* static double dsqrarg; */
                   1218: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard  1219: static double sqrarg;
                   1220: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                   1221: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                   1222: int agegomp= AGEGOMP;
                   1223: 
                   1224: int imx; 
                   1225: int stepm=1;
                   1226: /* Stepm, step in month: minimum step interpolation*/
                   1227: 
                   1228: int estepm;
                   1229: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                   1230: 
                   1231: int m,nb;
                   1232: long *num;
1.197     brouard  1233: int firstpass=0, lastpass=4,*cod, *cens;
1.192     brouard  1234: int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                   1235:                   covariate for which somebody answered excluding 
                   1236:                   undefined. Usually 2: 0 and 1. */
                   1237: int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                   1238:                             covariate for which somebody answered including 
                   1239:                             undefined. Usually 3: -1, 0 and 1. */
1.126     brouard  1240: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
1.218     brouard  1241: double **pmmij, ***probs; /* Global pointer */
1.219     brouard  1242: double ***mobaverage, ***mobaverages; /* New global variable */
1.126     brouard  1243: double *ageexmed,*agecens;
                   1244: double dateintmean=0;
                   1245: 
                   1246: double *weight;
                   1247: int **s; /* Status */
1.141     brouard  1248: double *agedc;
1.145     brouard  1249: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard  1250:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard  1251:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.268     brouard  1252: double **coqvar; /* Fixed quantitative covariate nqv */
                   1253: double ***cotvar; /* Time varying covariate ntv */
1.225     brouard  1254: double ***cotqvar; /* Time varying quantitative covariate itqv */
1.141     brouard  1255: double  idx; 
                   1256: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.234     brouard  1257: /*           V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1258: /*k          1  2   3   4     5    6    7     8    9 */
                   1259: /*Tvar[k]=   5  4   3   6     5    2    7     1    1 */
                   1260: /* Tndvar[k]    1   2   3               4          5 */
                   1261: /*TDvar         4   3   6               7          1 */ /* For outputs only; combination of dummies fixed or varying */
                   1262: /* Tns[k]    1  2   2              4               5 */ /* Number of single cova */
                   1263: /* TvarsD[k]    1   2                              3 */ /* Number of single dummy cova */
                   1264: /* TvarsDind    2   3                              9 */ /* position K of single dummy cova */
                   1265: /* TvarsQ[k] 1                     2                 */ /* Number of single quantitative cova */
                   1266: /* TvarsQind 1                     6                 */ /* position K of single quantitative cova */
                   1267: /* Tprod[i]=k           4               7            */
                   1268: /* Tage[i]=k                  5               8      */
                   1269: /* */
                   1270: /* Type                    */
                   1271: /* V         1  2  3  4  5 */
                   1272: /*           F  F  V  V  V */
                   1273: /*           D  Q  D  D  Q */
                   1274: /*                         */
                   1275: int *TvarsD;
                   1276: int *TvarsDind;
                   1277: int *TvarsQ;
                   1278: int *TvarsQind;
                   1279: 
1.235     brouard  1280: #define MAXRESULTLINES 10
                   1281: int nresult=0;
1.258     brouard  1282: int parameterline=0; /* # of the parameter (type) line */
1.235     brouard  1283: int TKresult[MAXRESULTLINES];
1.237     brouard  1284: int Tresult[MAXRESULTLINES][NCOVMAX];/* For dummy variable , value (output) */
                   1285: int Tinvresult[MAXRESULTLINES][NCOVMAX];/* For dummy variable , value (output) */
1.235     brouard  1286: int Tvresult[MAXRESULTLINES][NCOVMAX]; /* For dummy variable , variable # (output) */
                   1287: double Tqresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , value (output) */
1.237     brouard  1288: double Tqinvresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , value (output) */
1.235     brouard  1289: int Tvqresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , variable # (output) */
                   1290: 
1.234     brouard  1291: /* 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  1292: 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 */
                   1293: 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 */
                   1294: 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 */
                   1295: int *TvarVind; /**< TvarVind[1]=1, TvarVind[2]=2  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1296: 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 */
                   1297: 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  1298: int *TvarFD; /**< TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1299: int *TvarFDind; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1300: int *TvarFQ; /* TvarFQ[1]=V2 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1301: int *TvarFQind; /* TvarFQind[1]=6 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1302: int *TvarVD; /* TvarVD[1]=V5 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1303: int *TvarVDind; /* TvarVDind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1304: 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 */
                   1305: 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 */
                   1306: 
1.230     brouard  1307: int *Tvarsel; /**< Selected covariates for output */
                   1308: double *Tvalsel; /**< Selected modality value of covariate for output */
1.226     brouard  1309: int *Typevar; /**< 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product */
1.227     brouard  1310: int *Fixed; /** Fixed[k] 0=fixed, 1 varying, 2 fixed with age product, 3 varying with age product */ 
                   1311: 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  1312: int *DummyV; /** Dummy[v] 0=dummy (0 1), 1 quantitative */
                   1313: int *FixedV; /** FixedV[v] 0 fixed, 1 varying */
1.197     brouard  1314: int *Tage;
1.227     brouard  1315: int anyvaryingduminmodel=0; /**< Any varying dummy in Model=1 yes, 0 no, to avoid a loop on waves in freq */ 
1.228     brouard  1316: 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  1317: 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*/ 
                   1318: 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  1319: int *Ndum; /** Freq of modality (tricode */
1.200     brouard  1320: /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
1.227     brouard  1321: int **Tvard;
                   1322: int *Tprod;/**< Gives the k position of the k1 product */
1.238     brouard  1323: /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3  */
1.227     brouard  1324: int *Tposprod; /**< Gives the k1 product from the k position */
1.238     brouard  1325:    /* if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2) */
                   1326:    /* Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5(V3*V2)]=2 (2nd product without age) */
1.227     brouard  1327: int cptcovprod, *Tvaraff, *invalidvarcomb;
1.126     brouard  1328: double *lsurv, *lpop, *tpop;
                   1329: 
1.231     brouard  1330: #define FD 1; /* Fixed dummy covariate */
                   1331: #define FQ 2; /* Fixed quantitative covariate */
                   1332: #define FP 3; /* Fixed product covariate */
                   1333: #define FPDD 7; /* Fixed product dummy*dummy covariate */
                   1334: #define FPDQ 8; /* Fixed product dummy*quantitative covariate */
                   1335: #define FPQQ 9; /* Fixed product quantitative*quantitative covariate */
                   1336: #define VD 10; /* Varying dummy covariate */
                   1337: #define VQ 11; /* Varying quantitative covariate */
                   1338: #define VP 12; /* Varying product covariate */
                   1339: #define VPDD 13; /* Varying product dummy*dummy covariate */
                   1340: #define VPDQ 14; /* Varying product dummy*quantitative covariate */
                   1341: #define VPQQ 15; /* Varying product quantitative*quantitative covariate */
                   1342: #define APFD 16; /* Age product * fixed dummy covariate */
                   1343: #define APFQ 17; /* Age product * fixed quantitative covariate */
                   1344: #define APVD 18; /* Age product * varying dummy covariate */
                   1345: #define APVQ 19; /* Age product * varying quantitative covariate */
                   1346: 
                   1347: #define FTYPE 1; /* Fixed covariate */
                   1348: #define VTYPE 2; /* Varying covariate (loop in wave) */
                   1349: #define ATYPE 2; /* Age product covariate (loop in dh within wave)*/
                   1350: 
                   1351: struct kmodel{
                   1352:        int maintype; /* main type */
                   1353:        int subtype; /* subtype */
                   1354: };
                   1355: struct kmodel modell[NCOVMAX];
                   1356: 
1.143     brouard  1357: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                   1358: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard  1359: 
                   1360: /**************** split *************************/
                   1361: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                   1362: {
                   1363:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                   1364:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                   1365:   */ 
                   1366:   char *ss;                            /* pointer */
1.186     brouard  1367:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard  1368: 
                   1369:   l1 = strlen(path );                  /* length of path */
                   1370:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1371:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                   1372:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                   1373:     strcpy( name, path );              /* we got the fullname name because no directory */
                   1374:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                   1375:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                   1376:     /* get current working directory */
                   1377:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard  1378: #ifdef WIN32
                   1379:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                   1380: #else
                   1381:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                   1382: #endif
1.126     brouard  1383:       return( GLOCK_ERROR_GETCWD );
                   1384:     }
                   1385:     /* got dirc from getcwd*/
                   1386:     printf(" DIRC = %s \n",dirc);
1.205     brouard  1387:   } else {                             /* strip directory from path */
1.126     brouard  1388:     ss++;                              /* after this, the filename */
                   1389:     l2 = strlen( ss );                 /* length of filename */
                   1390:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1391:     strcpy( name, ss );                /* save file name */
                   1392:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard  1393:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard  1394:     printf(" DIRC2 = %s \n",dirc);
                   1395:   }
                   1396:   /* We add a separator at the end of dirc if not exists */
                   1397:   l1 = strlen( dirc );                 /* length of directory */
                   1398:   if( dirc[l1-1] != DIRSEPARATOR ){
                   1399:     dirc[l1] =  DIRSEPARATOR;
                   1400:     dirc[l1+1] = 0; 
                   1401:     printf(" DIRC3 = %s \n",dirc);
                   1402:   }
                   1403:   ss = strrchr( name, '.' );           /* find last / */
                   1404:   if (ss >0){
                   1405:     ss++;
                   1406:     strcpy(ext,ss);                    /* save extension */
                   1407:     l1= strlen( name);
                   1408:     l2= strlen(ss)+1;
                   1409:     strncpy( finame, name, l1-l2);
                   1410:     finame[l1-l2]= 0;
                   1411:   }
                   1412: 
                   1413:   return( 0 );                         /* we're done */
                   1414: }
                   1415: 
                   1416: 
                   1417: /******************************************/
                   1418: 
                   1419: void replace_back_to_slash(char *s, char*t)
                   1420: {
                   1421:   int i;
                   1422:   int lg=0;
                   1423:   i=0;
                   1424:   lg=strlen(t);
                   1425:   for(i=0; i<= lg; i++) {
                   1426:     (s[i] = t[i]);
                   1427:     if (t[i]== '\\') s[i]='/';
                   1428:   }
                   1429: }
                   1430: 
1.132     brouard  1431: char *trimbb(char *out, char *in)
1.137     brouard  1432: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard  1433:   char *s;
                   1434:   s=out;
                   1435:   while (*in != '\0'){
1.137     brouard  1436:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard  1437:       in++;
                   1438:     }
                   1439:     *out++ = *in++;
                   1440:   }
                   1441:   *out='\0';
                   1442:   return s;
                   1443: }
                   1444: 
1.187     brouard  1445: /* char *substrchaine(char *out, char *in, char *chain) */
                   1446: /* { */
                   1447: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                   1448: /*   char *s, *t; */
                   1449: /*   t=in;s=out; */
                   1450: /*   while ((*in != *chain) && (*in != '\0')){ */
                   1451: /*     *out++ = *in++; */
                   1452: /*   } */
                   1453: 
                   1454: /*   /\* *in matches *chain *\/ */
                   1455: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                   1456: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1457: /*   } */
                   1458: /*   in--; chain--; */
                   1459: /*   while ( (*in != '\0')){ */
                   1460: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1461: /*     *out++ = *in++; */
                   1462: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1463: /*   } */
                   1464: /*   *out='\0'; */
                   1465: /*   out=s; */
                   1466: /*   return out; */
                   1467: /* } */
                   1468: char *substrchaine(char *out, char *in, char *chain)
                   1469: {
                   1470:   /* Substract chain 'chain' from 'in', return and output 'out' */
                   1471:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                   1472: 
                   1473:   char *strloc;
                   1474: 
                   1475:   strcpy (out, in); 
                   1476:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                   1477:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                   1478:   if(strloc != NULL){ 
                   1479:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                   1480:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                   1481:     /* strcpy (strloc, strloc +strlen(chain));*/
                   1482:   }
                   1483:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                   1484:   return out;
                   1485: }
                   1486: 
                   1487: 
1.145     brouard  1488: char *cutl(char *blocc, char *alocc, char *in, char occ)
                   1489: {
1.187     brouard  1490:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard  1491:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.187     brouard  1492:      gives blocc="abcdef" and alocc="ghi2j".
1.145     brouard  1493:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                   1494:   */
1.160     brouard  1495:   char *s, *t;
1.145     brouard  1496:   t=in;s=in;
                   1497:   while ((*in != occ) && (*in != '\0')){
                   1498:     *alocc++ = *in++;
                   1499:   }
                   1500:   if( *in == occ){
                   1501:     *(alocc)='\0';
                   1502:     s=++in;
                   1503:   }
                   1504:  
                   1505:   if (s == t) {/* occ not found */
                   1506:     *(alocc-(in-s))='\0';
                   1507:     in=s;
                   1508:   }
                   1509:   while ( *in != '\0'){
                   1510:     *blocc++ = *in++;
                   1511:   }
                   1512: 
                   1513:   *blocc='\0';
                   1514:   return t;
                   1515: }
1.137     brouard  1516: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1517: {
1.187     brouard  1518:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1519:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1520:      gives blocc="abcdef2ghi" and alocc="j".
                   1521:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1522:   */
                   1523:   char *s, *t;
                   1524:   t=in;s=in;
                   1525:   while (*in != '\0'){
                   1526:     while( *in == occ){
                   1527:       *blocc++ = *in++;
                   1528:       s=in;
                   1529:     }
                   1530:     *blocc++ = *in++;
                   1531:   }
                   1532:   if (s == t) /* occ not found */
                   1533:     *(blocc-(in-s))='\0';
                   1534:   else
                   1535:     *(blocc-(in-s)-1)='\0';
                   1536:   in=s;
                   1537:   while ( *in != '\0'){
                   1538:     *alocc++ = *in++;
                   1539:   }
                   1540: 
                   1541:   *alocc='\0';
                   1542:   return s;
                   1543: }
                   1544: 
1.126     brouard  1545: int nbocc(char *s, char occ)
                   1546: {
                   1547:   int i,j=0;
                   1548:   int lg=20;
                   1549:   i=0;
                   1550:   lg=strlen(s);
                   1551:   for(i=0; i<= lg; i++) {
1.234     brouard  1552:     if  (s[i] == occ ) j++;
1.126     brouard  1553:   }
                   1554:   return j;
                   1555: }
                   1556: 
1.137     brouard  1557: /* void cutv(char *u,char *v, char*t, char occ) */
                   1558: /* { */
                   1559: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1560: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1561: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1562: /*   int i,lg,j,p=0; */
                   1563: /*   i=0; */
                   1564: /*   lg=strlen(t); */
                   1565: /*   for(j=0; j<=lg-1; j++) { */
                   1566: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1567: /*   } */
1.126     brouard  1568: 
1.137     brouard  1569: /*   for(j=0; j<p; j++) { */
                   1570: /*     (u[j] = t[j]); */
                   1571: /*   } */
                   1572: /*      u[p]='\0'; */
1.126     brouard  1573: 
1.137     brouard  1574: /*    for(j=0; j<= lg; j++) { */
                   1575: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1576: /*   } */
                   1577: /* } */
1.126     brouard  1578: 
1.160     brouard  1579: #ifdef _WIN32
                   1580: char * strsep(char **pp, const char *delim)
                   1581: {
                   1582:   char *p, *q;
                   1583:          
                   1584:   if ((p = *pp) == NULL)
                   1585:     return 0;
                   1586:   if ((q = strpbrk (p, delim)) != NULL)
                   1587:   {
                   1588:     *pp = q + 1;
                   1589:     *q = '\0';
                   1590:   }
                   1591:   else
                   1592:     *pp = 0;
                   1593:   return p;
                   1594: }
                   1595: #endif
                   1596: 
1.126     brouard  1597: /********************** nrerror ********************/
                   1598: 
                   1599: void nrerror(char error_text[])
                   1600: {
                   1601:   fprintf(stderr,"ERREUR ...\n");
                   1602:   fprintf(stderr,"%s\n",error_text);
                   1603:   exit(EXIT_FAILURE);
                   1604: }
                   1605: /*********************** vector *******************/
                   1606: double *vector(int nl, int nh)
                   1607: {
                   1608:   double *v;
                   1609:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1610:   if (!v) nrerror("allocation failure in vector");
                   1611:   return v-nl+NR_END;
                   1612: }
                   1613: 
                   1614: /************************ free vector ******************/
                   1615: void free_vector(double*v, int nl, int nh)
                   1616: {
                   1617:   free((FREE_ARG)(v+nl-NR_END));
                   1618: }
                   1619: 
                   1620: /************************ivector *******************************/
                   1621: int *ivector(long nl,long nh)
                   1622: {
                   1623:   int *v;
                   1624:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1625:   if (!v) nrerror("allocation failure in ivector");
                   1626:   return v-nl+NR_END;
                   1627: }
                   1628: 
                   1629: /******************free ivector **************************/
                   1630: void free_ivector(int *v, long nl, long nh)
                   1631: {
                   1632:   free((FREE_ARG)(v+nl-NR_END));
                   1633: }
                   1634: 
                   1635: /************************lvector *******************************/
                   1636: long *lvector(long nl,long nh)
                   1637: {
                   1638:   long *v;
                   1639:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1640:   if (!v) nrerror("allocation failure in ivector");
                   1641:   return v-nl+NR_END;
                   1642: }
                   1643: 
                   1644: /******************free lvector **************************/
                   1645: void free_lvector(long *v, long nl, long nh)
                   1646: {
                   1647:   free((FREE_ARG)(v+nl-NR_END));
                   1648: }
                   1649: 
                   1650: /******************* imatrix *******************************/
                   1651: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1652:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1653: { 
                   1654:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1655:   int **m; 
                   1656:   
                   1657:   /* allocate pointers to rows */ 
                   1658:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1659:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1660:   m += NR_END; 
                   1661:   m -= nrl; 
                   1662:   
                   1663:   
                   1664:   /* allocate rows and set pointers to them */ 
                   1665:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1666:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1667:   m[nrl] += NR_END; 
                   1668:   m[nrl] -= ncl; 
                   1669:   
                   1670:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1671:   
                   1672:   /* return pointer to array of pointers to rows */ 
                   1673:   return m; 
                   1674: } 
                   1675: 
                   1676: /****************** free_imatrix *************************/
                   1677: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1678:       int **m;
                   1679:       long nch,ncl,nrh,nrl; 
                   1680:      /* free an int matrix allocated by imatrix() */ 
                   1681: { 
                   1682:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1683:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1684: } 
                   1685: 
                   1686: /******************* matrix *******************************/
                   1687: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1688: {
                   1689:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1690:   double **m;
                   1691: 
                   1692:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1693:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1694:   m += NR_END;
                   1695:   m -= nrl;
                   1696: 
                   1697:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1698:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1699:   m[nrl] += NR_END;
                   1700:   m[nrl] -= ncl;
                   1701: 
                   1702:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1703:   return m;
1.145     brouard  1704:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1705: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1706: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1707:    */
                   1708: }
                   1709: 
                   1710: /*************************free matrix ************************/
                   1711: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1712: {
                   1713:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1714:   free((FREE_ARG)(m+nrl-NR_END));
                   1715: }
                   1716: 
                   1717: /******************* ma3x *******************************/
                   1718: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1719: {
                   1720:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1721:   double ***m;
                   1722: 
                   1723:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1724:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1725:   m += NR_END;
                   1726:   m -= nrl;
                   1727: 
                   1728:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1729:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1730:   m[nrl] += NR_END;
                   1731:   m[nrl] -= ncl;
                   1732: 
                   1733:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1734: 
                   1735:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1736:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1737:   m[nrl][ncl] += NR_END;
                   1738:   m[nrl][ncl] -= nll;
                   1739:   for (j=ncl+1; j<=nch; j++) 
                   1740:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1741:   
                   1742:   for (i=nrl+1; i<=nrh; i++) {
                   1743:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1744:     for (j=ncl+1; j<=nch; j++) 
                   1745:       m[i][j]=m[i][j-1]+nlay;
                   1746:   }
                   1747:   return m; 
                   1748:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1749:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1750:   */
                   1751: }
                   1752: 
                   1753: /*************************free ma3x ************************/
                   1754: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1755: {
                   1756:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1757:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1758:   free((FREE_ARG)(m+nrl-NR_END));
                   1759: }
                   1760: 
                   1761: /*************** function subdirf ***********/
                   1762: char *subdirf(char fileres[])
                   1763: {
                   1764:   /* Caution optionfilefiname is hidden */
                   1765:   strcpy(tmpout,optionfilefiname);
                   1766:   strcat(tmpout,"/"); /* Add to the right */
                   1767:   strcat(tmpout,fileres);
                   1768:   return tmpout;
                   1769: }
                   1770: 
                   1771: /*************** function subdirf2 ***********/
                   1772: char *subdirf2(char fileres[], char *preop)
                   1773: {
                   1774:   
                   1775:   /* Caution optionfilefiname is hidden */
                   1776:   strcpy(tmpout,optionfilefiname);
                   1777:   strcat(tmpout,"/");
                   1778:   strcat(tmpout,preop);
                   1779:   strcat(tmpout,fileres);
                   1780:   return tmpout;
                   1781: }
                   1782: 
                   1783: /*************** function subdirf3 ***********/
                   1784: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1785: {
                   1786:   
                   1787:   /* Caution optionfilefiname is hidden */
                   1788:   strcpy(tmpout,optionfilefiname);
                   1789:   strcat(tmpout,"/");
                   1790:   strcat(tmpout,preop);
                   1791:   strcat(tmpout,preop2);
                   1792:   strcat(tmpout,fileres);
                   1793:   return tmpout;
                   1794: }
1.213     brouard  1795:  
                   1796: /*************** function subdirfext ***********/
                   1797: char *subdirfext(char fileres[], char *preop, char *postop)
                   1798: {
                   1799:   
                   1800:   strcpy(tmpout,preop);
                   1801:   strcat(tmpout,fileres);
                   1802:   strcat(tmpout,postop);
                   1803:   return tmpout;
                   1804: }
1.126     brouard  1805: 
1.213     brouard  1806: /*************** function subdirfext3 ***********/
                   1807: char *subdirfext3(char fileres[], char *preop, char *postop)
                   1808: {
                   1809:   
                   1810:   /* Caution optionfilefiname is hidden */
                   1811:   strcpy(tmpout,optionfilefiname);
                   1812:   strcat(tmpout,"/");
                   1813:   strcat(tmpout,preop);
                   1814:   strcat(tmpout,fileres);
                   1815:   strcat(tmpout,postop);
                   1816:   return tmpout;
                   1817: }
                   1818:  
1.162     brouard  1819: char *asc_diff_time(long time_sec, char ascdiff[])
                   1820: {
                   1821:   long sec_left, days, hours, minutes;
                   1822:   days = (time_sec) / (60*60*24);
                   1823:   sec_left = (time_sec) % (60*60*24);
                   1824:   hours = (sec_left) / (60*60) ;
                   1825:   sec_left = (sec_left) %(60*60);
                   1826:   minutes = (sec_left) /60;
                   1827:   sec_left = (sec_left) % (60);
                   1828:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1829:   return ascdiff;
                   1830: }
                   1831: 
1.126     brouard  1832: /***************** f1dim *************************/
                   1833: extern int ncom; 
                   1834: extern double *pcom,*xicom;
                   1835: extern double (*nrfunc)(double []); 
                   1836:  
                   1837: double f1dim(double x) 
                   1838: { 
                   1839:   int j; 
                   1840:   double f;
                   1841:   double *xt; 
                   1842:  
                   1843:   xt=vector(1,ncom); 
                   1844:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   1845:   f=(*nrfunc)(xt); 
                   1846:   free_vector(xt,1,ncom); 
                   1847:   return f; 
                   1848: } 
                   1849: 
                   1850: /*****************brent *************************/
                   1851: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  1852: {
                   1853:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   1854:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   1855:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   1856:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   1857:    * returned function value. 
                   1858:   */
1.126     brouard  1859:   int iter; 
                   1860:   double a,b,d,etemp;
1.159     brouard  1861:   double fu=0,fv,fw,fx;
1.164     brouard  1862:   double ftemp=0.;
1.126     brouard  1863:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   1864:   double e=0.0; 
                   1865:  
                   1866:   a=(ax < cx ? ax : cx); 
                   1867:   b=(ax > cx ? ax : cx); 
                   1868:   x=w=v=bx; 
                   1869:   fw=fv=fx=(*f)(x); 
                   1870:   for (iter=1;iter<=ITMAX;iter++) { 
                   1871:     xm=0.5*(a+b); 
                   1872:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   1873:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   1874:     printf(".");fflush(stdout);
                   1875:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  1876: #ifdef DEBUGBRENT
1.126     brouard  1877:     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);
                   1878:     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);
                   1879:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   1880: #endif
                   1881:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   1882:       *xmin=x; 
                   1883:       return fx; 
                   1884:     } 
                   1885:     ftemp=fu;
                   1886:     if (fabs(e) > tol1) { 
                   1887:       r=(x-w)*(fx-fv); 
                   1888:       q=(x-v)*(fx-fw); 
                   1889:       p=(x-v)*q-(x-w)*r; 
                   1890:       q=2.0*(q-r); 
                   1891:       if (q > 0.0) p = -p; 
                   1892:       q=fabs(q); 
                   1893:       etemp=e; 
                   1894:       e=d; 
                   1895:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
1.224     brouard  1896:                                d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
1.126     brouard  1897:       else { 
1.224     brouard  1898:                                d=p/q; 
                   1899:                                u=x+d; 
                   1900:                                if (u-a < tol2 || b-u < tol2) 
                   1901:                                        d=SIGN(tol1,xm-x); 
1.126     brouard  1902:       } 
                   1903:     } else { 
                   1904:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1905:     } 
                   1906:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   1907:     fu=(*f)(u); 
                   1908:     if (fu <= fx) { 
                   1909:       if (u >= x) a=x; else b=x; 
                   1910:       SHFT(v,w,x,u) 
1.183     brouard  1911:       SHFT(fv,fw,fx,fu) 
                   1912:     } else { 
                   1913:       if (u < x) a=u; else b=u; 
                   1914:       if (fu <= fw || w == x) { 
1.224     brouard  1915:                                v=w; 
                   1916:                                w=u; 
                   1917:                                fv=fw; 
                   1918:                                fw=fu; 
1.183     brouard  1919:       } else if (fu <= fv || v == x || v == w) { 
1.224     brouard  1920:                                v=u; 
                   1921:                                fv=fu; 
1.183     brouard  1922:       } 
                   1923:     } 
1.126     brouard  1924:   } 
                   1925:   nrerror("Too many iterations in brent"); 
                   1926:   *xmin=x; 
                   1927:   return fx; 
                   1928: } 
                   1929: 
                   1930: /****************** mnbrak ***********************/
                   1931: 
                   1932: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   1933:            double (*func)(double)) 
1.183     brouard  1934: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   1935: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   1936: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   1937: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   1938:    */
1.126     brouard  1939:   double ulim,u,r,q, dum;
                   1940:   double fu; 
1.187     brouard  1941: 
                   1942:   double scale=10.;
                   1943:   int iterscale=0;
                   1944: 
                   1945:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   1946:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   1947: 
                   1948: 
                   1949:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   1950:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   1951:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   1952:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   1953:   /* } */
                   1954: 
1.126     brouard  1955:   if (*fb > *fa) { 
                   1956:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  1957:     SHFT(dum,*fb,*fa,dum) 
                   1958:   } 
1.126     brouard  1959:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   1960:   *fc=(*func)(*cx); 
1.183     brouard  1961: #ifdef DEBUG
1.224     brouard  1962:   printf("mnbrak0 a=%lf *fa=%lf, b=%lf *fb=%lf, c=%lf *fc=%lf\n",*ax,*fa,*bx,*fb,*cx, *fc);
                   1963:   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  1964: #endif
1.224     brouard  1965:   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  1966:     r=(*bx-*ax)*(*fb-*fc); 
1.224     brouard  1967:     q=(*bx-*cx)*(*fb-*fa); /* What if fa=inf */
1.126     brouard  1968:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  1969:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   1970:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   1971:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  1972:       fu=(*func)(u); 
1.163     brouard  1973: #ifdef DEBUG
                   1974:       /* f(x)=A(x-u)**2+f(u) */
                   1975:       double A, fparabu; 
                   1976:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   1977:       fparabu= *fa - A*(*ax-u)*(*ax-u);
1.224     brouard  1978:       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);
                   1979:       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  1980:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   1981:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   1982:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   1983:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  1984: #endif 
1.184     brouard  1985: #ifdef MNBRAKORIGINAL
1.183     brouard  1986: #else
1.191     brouard  1987: /*       if (fu > *fc) { */
                   1988: /* #ifdef DEBUG */
                   1989: /*       printf("mnbrak4  fu > fc \n"); */
                   1990: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
                   1991: /* #endif */
                   1992: /*     /\* 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 *\\/  *\/ */
                   1993: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
                   1994: /*     dum=u; /\* Shifting c and u *\/ */
                   1995: /*     u = *cx; */
                   1996: /*     *cx = dum; */
                   1997: /*     dum = fu; */
                   1998: /*     fu = *fc; */
                   1999: /*     *fc =dum; */
                   2000: /*       } else { /\* end *\/ */
                   2001: /* #ifdef DEBUG */
                   2002: /*       printf("mnbrak3  fu < fc \n"); */
                   2003: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
                   2004: /* #endif */
                   2005: /*     dum=u; /\* Shifting c and u *\/ */
                   2006: /*     u = *cx; */
                   2007: /*     *cx = dum; */
                   2008: /*     dum = fu; */
                   2009: /*     fu = *fc; */
                   2010: /*     *fc =dum; */
                   2011: /*       } */
1.224     brouard  2012: #ifdef DEBUGMNBRAK
                   2013:                 double A, fparabu; 
                   2014:      A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   2015:      fparabu= *fa - A*(*ax-u)*(*ax-u);
                   2016:      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);
                   2017:      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  2018: #endif
1.191     brouard  2019:       dum=u; /* Shifting c and u */
                   2020:       u = *cx;
                   2021:       *cx = dum;
                   2022:       dum = fu;
                   2023:       fu = *fc;
                   2024:       *fc =dum;
1.183     brouard  2025: #endif
1.162     brouard  2026:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  2027: #ifdef DEBUG
1.224     brouard  2028:       printf("\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
                   2029:       fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
1.183     brouard  2030: #endif
1.126     brouard  2031:       fu=(*func)(u); 
                   2032:       if (fu < *fc) { 
1.183     brouard  2033: #ifdef DEBUG
1.224     brouard  2034:                                printf("\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   2035:                          fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   2036: #endif
                   2037:                          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
                   2038:                                SHFT(*fb,*fc,fu,(*func)(u)) 
                   2039: #ifdef DEBUG
                   2040:                                        printf("\nmnbrak2 shift GOLD c=%lf",*cx+GOLD*(*cx-*bx));
1.183     brouard  2041: #endif
                   2042:       } 
1.162     brouard  2043:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  2044: #ifdef DEBUG
1.224     brouard  2045:       printf("\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
                   2046:       fprintf(ficlog,"\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
1.183     brouard  2047: #endif
1.126     brouard  2048:       u=ulim; 
                   2049:       fu=(*func)(u); 
1.183     brouard  2050:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   2051: #ifdef DEBUG
1.224     brouard  2052:       printf("\nmnbrak2  u=%lf could be left to b=%lf (if r=%lf > q=%lf parabola has a maximum)\n",u,*bx,r,q);
                   2053:       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  2054: #endif
1.126     brouard  2055:       u=(*cx)+GOLD*(*cx-*bx); 
                   2056:       fu=(*func)(u); 
1.224     brouard  2057: #ifdef DEBUG
                   2058:       printf("\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   2059:       fprintf(ficlog,"\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   2060: #endif
1.183     brouard  2061:     } /* end tests */
1.126     brouard  2062:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  2063:     SHFT(*fa,*fb,*fc,fu) 
                   2064: #ifdef DEBUG
1.224     brouard  2065:       printf("\nmnbrak2 shift (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc);
                   2066:       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  2067: #endif
                   2068:   } /* 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  2069: } 
                   2070: 
                   2071: /*************** linmin ************************/
1.162     brouard  2072: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   2073: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   2074: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   2075: the value of func at the returned location p . This is actually all accomplished by calling the
                   2076: routines mnbrak and brent .*/
1.126     brouard  2077: int ncom; 
                   2078: double *pcom,*xicom;
                   2079: double (*nrfunc)(double []); 
                   2080:  
1.224     brouard  2081: #ifdef LINMINORIGINAL
1.126     brouard  2082: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
1.224     brouard  2083: #else
                   2084: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []), int *flat) 
                   2085: #endif
1.126     brouard  2086: { 
                   2087:   double brent(double ax, double bx, double cx, 
                   2088:               double (*f)(double), double tol, double *xmin); 
                   2089:   double f1dim(double x); 
                   2090:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   2091:              double *fc, double (*func)(double)); 
                   2092:   int j; 
                   2093:   double xx,xmin,bx,ax; 
                   2094:   double fx,fb,fa;
1.187     brouard  2095: 
1.203     brouard  2096: #ifdef LINMINORIGINAL
                   2097: #else
                   2098:   double scale=10., axs, xxs; /* Scale added for infinity */
                   2099: #endif
                   2100:   
1.126     brouard  2101:   ncom=n; 
                   2102:   pcom=vector(1,n); 
                   2103:   xicom=vector(1,n); 
                   2104:   nrfunc=func; 
                   2105:   for (j=1;j<=n;j++) { 
                   2106:     pcom[j]=p[j]; 
1.202     brouard  2107:     xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
1.126     brouard  2108:   } 
1.187     brouard  2109: 
1.203     brouard  2110: #ifdef LINMINORIGINAL
                   2111:   xx=1.;
                   2112: #else
                   2113:   axs=0.0;
                   2114:   xxs=1.;
                   2115:   do{
                   2116:     xx= xxs;
                   2117: #endif
1.187     brouard  2118:     ax=0.;
                   2119:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   2120:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   2121:     /* 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))   */
                   2122:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   2123:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   2124:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   2125:     /* 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  2126: #ifdef LINMINORIGINAL
                   2127: #else
                   2128:     if (fx != fx){
1.224     brouard  2129:                        xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                   2130:                        printf("|");
                   2131:                        fprintf(ficlog,"|");
1.203     brouard  2132: #ifdef DEBUGLINMIN
1.224     brouard  2133:                        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  2134: #endif
                   2135:     }
1.224     brouard  2136:   }while(fx != fx && xxs > 1.e-5);
1.203     brouard  2137: #endif
                   2138:   
1.191     brouard  2139: #ifdef DEBUGLINMIN
                   2140:   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  2141:   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  2142: #endif
1.224     brouard  2143: #ifdef LINMINORIGINAL
                   2144: #else
                   2145:        if(fb == fx){ /* Flat function in the direction */
                   2146:                xmin=xx;
                   2147:     *flat=1;
                   2148:        }else{
                   2149:     *flat=0;
                   2150: #endif
                   2151:                /*Flat mnbrak2 shift (*ax=0.000000000000, *fa=51626.272983130431), (*bx=-1.618034000000, *fb=51590.149499362531), (*cx=-4.236068025156, *fc=51590.149499362531) */
1.187     brouard  2152:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   2153:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   2154:   /* fmin = f(p[j] + xmin * xi[j]) */
                   2155:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   2156:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  2157: #ifdef DEBUG
1.224     brouard  2158:   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);
                   2159:   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);
                   2160: #endif
                   2161: #ifdef LINMINORIGINAL
                   2162: #else
                   2163:                        }
1.126     brouard  2164: #endif
1.191     brouard  2165: #ifdef DEBUGLINMIN
                   2166:   printf("linmin end ");
1.202     brouard  2167:   fprintf(ficlog,"linmin end ");
1.191     brouard  2168: #endif
1.126     brouard  2169:   for (j=1;j<=n;j++) { 
1.203     brouard  2170: #ifdef LINMINORIGINAL
                   2171:     xi[j] *= xmin; 
                   2172: #else
                   2173: #ifdef DEBUGLINMIN
                   2174:     if(xxs <1.0)
                   2175:       printf(" before xi[%d]=%12.8f", j,xi[j]);
                   2176: #endif
                   2177:     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) */
                   2178: #ifdef DEBUGLINMIN
                   2179:     if(xxs <1.0)
                   2180:       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 );
                   2181: #endif
                   2182: #endif
1.187     brouard  2183:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  2184:   } 
1.191     brouard  2185: #ifdef DEBUGLINMIN
1.203     brouard  2186:   printf("\n");
1.191     brouard  2187:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
1.202     brouard  2188:   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  2189:   for (j=1;j<=n;j++) { 
1.202     brouard  2190:     printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   2191:     fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   2192:     if(j % ncovmodel == 0){
1.191     brouard  2193:       printf("\n");
1.202     brouard  2194:       fprintf(ficlog,"\n");
                   2195:     }
1.191     brouard  2196:   }
1.203     brouard  2197: #else
1.191     brouard  2198: #endif
1.126     brouard  2199:   free_vector(xicom,1,n); 
                   2200:   free_vector(pcom,1,n); 
                   2201: } 
                   2202: 
                   2203: 
                   2204: /*************** powell ************************/
1.162     brouard  2205: /*
                   2206: Minimization of a function func of n variables. Input consists of an initial starting point
                   2207: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
                   2208: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
                   2209: such that failure to decrease by more than this amount on one iteration signals doneness. On
                   2210: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   2211: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   2212:  */
1.224     brouard  2213: #ifdef LINMINORIGINAL
                   2214: #else
                   2215:        int *flatdir; /* Function is vanishing in that direction */
1.225     brouard  2216:        int flat=0, flatd=0; /* Function is vanishing in that direction */
1.224     brouard  2217: #endif
1.126     brouard  2218: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   2219:            double (*func)(double [])) 
                   2220: { 
1.224     brouard  2221: #ifdef LINMINORIGINAL
                   2222:  void linmin(double p[], double xi[], int n, double *fret, 
1.126     brouard  2223:              double (*func)(double [])); 
1.224     brouard  2224: #else 
1.241     brouard  2225:  void linmin(double p[], double xi[], int n, double *fret,
                   2226:             double (*func)(double []),int *flat); 
1.224     brouard  2227: #endif
1.239     brouard  2228:  int i,ibig,j,jk,k; 
1.126     brouard  2229:   double del,t,*pt,*ptt,*xit;
1.181     brouard  2230:   double directest;
1.126     brouard  2231:   double fp,fptt;
                   2232:   double *xits;
                   2233:   int niterf, itmp;
1.224     brouard  2234: #ifdef LINMINORIGINAL
                   2235: #else
                   2236: 
                   2237:   flatdir=ivector(1,n); 
                   2238:   for (j=1;j<=n;j++) flatdir[j]=0; 
                   2239: #endif
1.126     brouard  2240: 
                   2241:   pt=vector(1,n); 
                   2242:   ptt=vector(1,n); 
                   2243:   xit=vector(1,n); 
                   2244:   xits=vector(1,n); 
                   2245:   *fret=(*func)(p); 
                   2246:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.202     brouard  2247:   rcurr_time = time(NULL);  
1.126     brouard  2248:   for (*iter=1;;++(*iter)) { 
1.187     brouard  2249:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  2250:     ibig=0; 
                   2251:     del=0.0; 
1.157     brouard  2252:     rlast_time=rcurr_time;
                   2253:     /* (void) gettimeofday(&curr_time,&tzp); */
                   2254:     rcurr_time = time(NULL);  
                   2255:     curr_time = *localtime(&rcurr_time);
                   2256:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   2257:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   2258: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.192     brouard  2259:     for (i=1;i<=n;i++) {
1.126     brouard  2260:       fprintf(ficrespow," %.12lf", p[i]);
                   2261:     }
1.239     brouard  2262:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   2263:     printf("\n#model=  1      +     age ");
                   2264:     fprintf(ficlog,"\n#model=  1      +     age ");
                   2265:     if(nagesqr==1){
1.241     brouard  2266:        printf("  + age*age  ");
                   2267:        fprintf(ficlog,"  + age*age  ");
1.239     brouard  2268:     }
                   2269:     for(j=1;j <=ncovmodel-2;j++){
                   2270:       if(Typevar[j]==0) {
                   2271:        printf("  +      V%d  ",Tvar[j]);
                   2272:        fprintf(ficlog,"  +      V%d  ",Tvar[j]);
                   2273:       }else if(Typevar[j]==1) {
                   2274:        printf("  +    V%d*age ",Tvar[j]);
                   2275:        fprintf(ficlog,"  +    V%d*age ",Tvar[j]);
                   2276:       }else if(Typevar[j]==2) {
                   2277:        printf("  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   2278:        fprintf(ficlog,"  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
                   2279:       }
                   2280:     }
1.126     brouard  2281:     printf("\n");
1.239     brouard  2282: /*     printf("12   47.0114589    0.0154322   33.2424412    0.3279905    2.3731903  */
                   2283: /* 13  -21.5392400    0.1118147    1.2680506    1.2973408   -1.0663662  */
1.126     brouard  2284:     fprintf(ficlog,"\n");
1.239     brouard  2285:     for(i=1,jk=1; i <=nlstate; i++){
                   2286:       for(k=1; k <=(nlstate+ndeath); k++){
                   2287:        if (k != i) {
                   2288:          printf("%d%d ",i,k);
                   2289:          fprintf(ficlog,"%d%d ",i,k);
                   2290:          for(j=1; j <=ncovmodel; j++){
                   2291:            printf("%12.7f ",p[jk]);
                   2292:            fprintf(ficlog,"%12.7f ",p[jk]);
                   2293:            jk++; 
                   2294:          }
                   2295:          printf("\n");
                   2296:          fprintf(ficlog,"\n");
                   2297:        }
                   2298:       }
                   2299:     }
1.241     brouard  2300:     if(*iter <=3 && *iter >1){
1.157     brouard  2301:       tml = *localtime(&rcurr_time);
                   2302:       strcpy(strcurr,asctime(&tml));
                   2303:       rforecast_time=rcurr_time; 
1.126     brouard  2304:       itmp = strlen(strcurr);
                   2305:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
1.241     brouard  2306:        strcurr[itmp-1]='\0';
1.162     brouard  2307:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  2308:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  2309:       for(niterf=10;niterf<=30;niterf+=10){
1.241     brouard  2310:        rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   2311:        forecast_time = *localtime(&rforecast_time);
                   2312:        strcpy(strfor,asctime(&forecast_time));
                   2313:        itmp = strlen(strfor);
                   2314:        if(strfor[itmp-1]=='\n')
                   2315:          strfor[itmp-1]='\0';
                   2316:        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);
                   2317:        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  2318:       }
                   2319:     }
1.187     brouard  2320:     for (i=1;i<=n;i++) { /* For each direction i */
                   2321:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  2322:       fptt=(*fret); 
                   2323: #ifdef DEBUG
1.203     brouard  2324:       printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   2325:       fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  2326: #endif
1.203     brouard  2327:       printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  2328:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.224     brouard  2329: #ifdef LINMINORIGINAL
1.188     brouard  2330:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
1.224     brouard  2331: #else
                   2332:       linmin(p,xit,n,fret,func,&flat); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   2333:                        flatdir[i]=flat; /* Function is vanishing in that direction i */
                   2334: #endif
                   2335:                        /* Outputs are fret(new point p) p is updated and xit rescaled */
1.188     brouard  2336:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
1.224     brouard  2337:                                /* because that direction will be replaced unless the gain del is small */
                   2338:                                /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   2339:                                /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   2340:                                /* with the new direction. */
                   2341:                                del=fabs(fptt-(*fret)); 
                   2342:                                ibig=i; 
1.126     brouard  2343:       } 
                   2344: #ifdef DEBUG
                   2345:       printf("%d %.12e",i,(*fret));
                   2346:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   2347:       for (j=1;j<=n;j++) {
1.224     brouard  2348:                                xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   2349:                                printf(" x(%d)=%.12e",j,xit[j]);
                   2350:                                fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
1.126     brouard  2351:       }
                   2352:       for(j=1;j<=n;j++) {
1.225     brouard  2353:                                printf(" p(%d)=%.12e",j,p[j]);
                   2354:                                fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  2355:       }
                   2356:       printf("\n");
                   2357:       fprintf(ficlog,"\n");
                   2358: #endif
1.187     brouard  2359:     } /* end loop on each direction i */
                   2360:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  2361:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  2362:     /* New value of last point Pn is not computed, P(n-1) */
1.224     brouard  2363:       for(j=1;j<=n;j++) {
1.225     brouard  2364:                                if(flatdir[j] >0){
                   2365:                                        printf(" p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2366:                                        fprintf(ficlog," p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2367:                                }
                   2368:                                /* printf("\n"); */
                   2369:                                /* fprintf(ficlog,"\n"); */
                   2370:                        }
1.243     brouard  2371:     /* if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /\* Did we reach enough precision? *\/ */
                   2372:     if (2.0*fabs(fp-(*fret)) <= ftol) { /* Did we reach enough precision? */
1.188     brouard  2373:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   2374:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   2375:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   2376:       /* decreased of more than 3.84  */
                   2377:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   2378:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   2379:       /* By adding 10 parameters more the gain should be 18.31 */
1.224     brouard  2380:                        
1.188     brouard  2381:       /* Starting the program with initial values given by a former maximization will simply change */
                   2382:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   2383:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   2384:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  2385: #ifdef DEBUG
                   2386:       int k[2],l;
                   2387:       k[0]=1;
                   2388:       k[1]=-1;
                   2389:       printf("Max: %.12e",(*func)(p));
                   2390:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   2391:       for (j=1;j<=n;j++) {
                   2392:        printf(" %.12e",p[j]);
                   2393:        fprintf(ficlog," %.12e",p[j]);
                   2394:       }
                   2395:       printf("\n");
                   2396:       fprintf(ficlog,"\n");
                   2397:       for(l=0;l<=1;l++) {
                   2398:        for (j=1;j<=n;j++) {
                   2399:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   2400:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2401:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2402:        }
                   2403:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2404:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2405:       }
                   2406: #endif
                   2407: 
1.224     brouard  2408: #ifdef LINMINORIGINAL
                   2409: #else
                   2410:       free_ivector(flatdir,1,n); 
                   2411: #endif
1.126     brouard  2412:       free_vector(xit,1,n); 
                   2413:       free_vector(xits,1,n); 
                   2414:       free_vector(ptt,1,n); 
                   2415:       free_vector(pt,1,n); 
                   2416:       return; 
1.192     brouard  2417:     } /* enough precision */ 
1.240     brouard  2418:     if (*iter == ITMAX*n) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  2419:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  2420:       ptt[j]=2.0*p[j]-pt[j]; 
                   2421:       xit[j]=p[j]-pt[j]; 
                   2422:       pt[j]=p[j]; 
                   2423:     } 
1.181     brouard  2424:     fptt=(*func)(ptt); /* f_3 */
1.224     brouard  2425: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
                   2426:                if (*iter <=4) {
1.225     brouard  2427: #else
                   2428: #endif
1.224     brouard  2429: #ifdef POWELLNOF3INFF1TEST    /* skips test F3 <F1 */
1.192     brouard  2430: #else
1.161     brouard  2431:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.192     brouard  2432: #endif
1.162     brouard  2433:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  2434:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  2435:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   2436:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   2437:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.224     brouard  2438:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del or directest <0 */
                   2439:       /* also  lamda^2=(f1-f2)^2/mu² is a parasite solution of powell */
                   2440:       /* For powell, inclusion of this average direction is only if t(del)<0 or del inbetween mu^2 and lambda^2 */
1.161     brouard  2441:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.224     brouard  2442:       /*  Even if f3 <f1, directest can be negative and t >0 */
                   2443:       /* mu² and del² are equal when f3=f1 */
                   2444:                        /* f3 < f1 : mu² < del <= lambda^2 both test are equivalent */
                   2445:                        /* f3 < f1 : mu² < lambda^2 < del then directtest is negative and powell t is positive */
                   2446:                        /* f3 > f1 : lambda² < mu^2 < del then t is negative and directest >0  */
                   2447:                        /* f3 > f1 : lambda² < del < mu^2 then t is positive and directest >0  */
1.183     brouard  2448: #ifdef NRCORIGINAL
                   2449:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   2450: #else
                   2451:       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  2452:       t= t- del*SQR(fp-fptt);
1.183     brouard  2453: #endif
1.202     brouard  2454:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
1.161     brouard  2455: #ifdef DEBUG
1.181     brouard  2456:       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);
                   2457:       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  2458:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2459:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2460:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2461:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2462:       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);
                   2463:       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);
                   2464: #endif
1.183     brouard  2465: #ifdef POWELLORIGINAL
                   2466:       if (t < 0.0) { /* Then we use it for new direction */
                   2467: #else
1.182     brouard  2468:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.224     brouard  2469:                                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  2470:         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  2471:         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  2472:         fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   2473:       } 
1.181     brouard  2474:       if (directest < 0.0) { /* Then we use it for new direction */
                   2475: #endif
1.191     brouard  2476: #ifdef DEBUGLINMIN
1.234     brouard  2477:        printf("Before linmin in direction P%d-P0\n",n);
                   2478:        for (j=1;j<=n;j++) {
                   2479:          printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2480:          fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2481:          if(j % ncovmodel == 0){
                   2482:            printf("\n");
                   2483:            fprintf(ficlog,"\n");
                   2484:          }
                   2485:        }
1.224     brouard  2486: #endif
                   2487: #ifdef LINMINORIGINAL
1.234     brouard  2488:        linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
1.224     brouard  2489: #else
1.234     brouard  2490:        linmin(p,xit,n,fret,func,&flat); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                   2491:        flatdir[i]=flat; /* Function is vanishing in that direction i */
1.191     brouard  2492: #endif
1.234     brouard  2493:        
1.191     brouard  2494: #ifdef DEBUGLINMIN
1.234     brouard  2495:        for (j=1;j<=n;j++) { 
                   2496:          printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2497:          fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2498:          if(j % ncovmodel == 0){
                   2499:            printf("\n");
                   2500:            fprintf(ficlog,"\n");
                   2501:          }
                   2502:        }
1.224     brouard  2503: #endif
1.234     brouard  2504:        for (j=1;j<=n;j++) { 
                   2505:          xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   2506:          xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
                   2507:        }
1.224     brouard  2508: #ifdef LINMINORIGINAL
                   2509: #else
1.234     brouard  2510:        for (j=1, flatd=0;j<=n;j++) {
                   2511:          if(flatdir[j]>0)
                   2512:            flatd++;
                   2513:        }
                   2514:        if(flatd >0){
1.255     brouard  2515:          printf("%d flat directions: ",flatd);
                   2516:          fprintf(ficlog,"%d flat directions :",flatd);
1.234     brouard  2517:          for (j=1;j<=n;j++) { 
                   2518:            if(flatdir[j]>0){
                   2519:              printf("%d ",j);
                   2520:              fprintf(ficlog,"%d ",j);
                   2521:            }
                   2522:          }
                   2523:          printf("\n");
                   2524:          fprintf(ficlog,"\n");
                   2525:        }
1.191     brouard  2526: #endif
1.234     brouard  2527:        printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2528:        fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2529:        
1.126     brouard  2530: #ifdef DEBUG
1.234     brouard  2531:        printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2532:        fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2533:        for(j=1;j<=n;j++){
                   2534:          printf(" %lf",xit[j]);
                   2535:          fprintf(ficlog," %lf",xit[j]);
                   2536:        }
                   2537:        printf("\n");
                   2538:        fprintf(ficlog,"\n");
1.126     brouard  2539: #endif
1.192     brouard  2540:       } /* end of t or directest negative */
1.224     brouard  2541: #ifdef POWELLNOF3INFF1TEST
1.192     brouard  2542: #else
1.234     brouard  2543:       } /* end if (fptt < fp)  */
1.192     brouard  2544: #endif
1.225     brouard  2545: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
1.234     brouard  2546:     } /*NODIRECTIONCHANGEDUNTILNITER  No change in drections until some iterations are done */
1.225     brouard  2547: #else
1.224     brouard  2548: #endif
1.234     brouard  2549:                } /* loop iteration */ 
1.126     brouard  2550: } 
1.234     brouard  2551:   
1.126     brouard  2552: /**** Prevalence limit (stable or period prevalence)  ****************/
1.234     brouard  2553:   
1.235     brouard  2554:   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  2555:   {
1.279     brouard  2556:     /**< Computes the prevalence limit in each live state at age x and for covariate combination ij 
                   2557:      *   (and selected quantitative values in nres)
                   2558:      *  by left multiplying the unit
                   2559:      *  matrix by transitions matrix until convergence is reached with precision ftolpl 
                   2560:      * Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I
                   2561:      * Wx is row vector: population in state 1, population in state 2, population dead
                   2562:      * or prevalence in state 1, prevalence in state 2, 0
                   2563:      * newm is the matrix after multiplications, its rows are identical at a factor.
                   2564:      * Inputs are the parameter, age, a tolerance for the prevalence limit ftolpl.
                   2565:      * Output is prlim.
                   2566:      * Initial matrix pimij 
                   2567:      */
1.206     brouard  2568:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2569:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2570:   /*  0,                   0                  , 1} */
                   2571:   /*
                   2572:    * and after some iteration: */
                   2573:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2574:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2575:   /*  0,                   0                  , 1} */
                   2576:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2577:   /* {0.51571254859325999, 0.4842874514067399, */
                   2578:   /*  0.51326036147820708, 0.48673963852179264} */
                   2579:   /* If we start from prlim again, prlim tends to a constant matrix */
1.234     brouard  2580:     
1.126     brouard  2581:   int i, ii,j,k;
1.209     brouard  2582:   double *min, *max, *meandiff, maxmax,sumnew=0.;
1.145     brouard  2583:   /* double **matprod2(); */ /* test */
1.218     brouard  2584:   double **out, cov[NCOVMAX+1], **pmij(); /* **pmmij is a global variable feeded with oldms etc */
1.126     brouard  2585:   double **newm;
1.209     brouard  2586:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
1.203     brouard  2587:   int ncvloop=0;
1.288     brouard  2588:   int first=0;
1.169     brouard  2589:   
1.209     brouard  2590:   min=vector(1,nlstate);
                   2591:   max=vector(1,nlstate);
                   2592:   meandiff=vector(1,nlstate);
                   2593: 
1.218     brouard  2594:        /* Starting with matrix unity */
1.126     brouard  2595:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2596:     for (j=1;j<=nlstate+ndeath;j++){
                   2597:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2598:     }
1.169     brouard  2599:   
                   2600:   cov[1]=1.;
                   2601:   
                   2602:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.202     brouard  2603:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.126     brouard  2604:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
1.202     brouard  2605:     ncvloop++;
1.126     brouard  2606:     newm=savm;
                   2607:     /* Covariates have to be included here again */
1.138     brouard  2608:     cov[2]=agefin;
1.187     brouard  2609:     if(nagesqr==1)
                   2610:       cov[3]= agefin*agefin;;
1.234     brouard  2611:     for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   2612:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   2613:       cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
1.235     brouard  2614:       /* 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  2615:     }
                   2616:     for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   2617:                        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
1.235     brouard  2618:       cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   2619:       /* 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  2620:     }
1.237     brouard  2621:     for (k=1; k<=cptcovage;k++){  /* For product with age */
1.234     brouard  2622:       if(Dummy[Tvar[Tage[k]]]){
                   2623:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2624:       } else{
1.235     brouard  2625:        cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
1.234     brouard  2626:       }
1.235     brouard  2627:       /* 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  2628:     }
1.237     brouard  2629:     for (k=1; k<=cptcovprod;k++){ /* For product without age */
1.235     brouard  2630:       /* 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  2631:       if(Dummy[Tvard[k][1]==0]){
                   2632:        if(Dummy[Tvard[k][2]==0]){
                   2633:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2634:        }else{
                   2635:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k];
                   2636:        }
                   2637:       }else{
                   2638:        if(Dummy[Tvard[k][2]==0]){
                   2639:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]];
                   2640:        }else{
                   2641:          cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]];
                   2642:        }
                   2643:       }
1.234     brouard  2644:     }
1.138     brouard  2645:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2646:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2647:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  2648:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2649:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2650:                /* age and covariate values of ij are in 'cov' */
1.142     brouard  2651:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  2652:     
1.126     brouard  2653:     savm=oldm;
                   2654:     oldm=newm;
1.209     brouard  2655: 
                   2656:     for(j=1; j<=nlstate; j++){
                   2657:       max[j]=0.;
                   2658:       min[j]=1.;
                   2659:     }
                   2660:     for(i=1;i<=nlstate;i++){
                   2661:       sumnew=0;
                   2662:       for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   2663:       for(j=1; j<=nlstate; j++){ 
                   2664:        prlim[i][j]= newm[i][j]/(1-sumnew);
                   2665:        max[j]=FMAX(max[j],prlim[i][j]);
                   2666:        min[j]=FMIN(min[j],prlim[i][j]);
                   2667:       }
                   2668:     }
                   2669: 
1.126     brouard  2670:     maxmax=0.;
1.209     brouard  2671:     for(j=1; j<=nlstate; j++){
                   2672:       meandiff[j]=(max[j]-min[j])/(max[j]+min[j])*2.; /* mean difference for each column */
                   2673:       maxmax=FMAX(maxmax,meandiff[j]);
                   2674:       /* 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  2675:     } /* j loop */
1.203     brouard  2676:     *ncvyear= (int)age- (int)agefin;
1.208     brouard  2677:     /* 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  2678:     if(maxmax < ftolpl){
1.209     brouard  2679:       /* printf("maxmax=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
                   2680:       free_vector(min,1,nlstate);
                   2681:       free_vector(max,1,nlstate);
                   2682:       free_vector(meandiff,1,nlstate);
1.126     brouard  2683:       return prlim;
                   2684:     }
1.288     brouard  2685:   } /* agefin loop */
1.208     brouard  2686:     /* After some age loop it doesn't converge */
1.288     brouard  2687:   if(!first){
                   2688:     first=1;
                   2689:     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);
                   2690:   }
                   2691:   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);
                   2692: 
1.209     brouard  2693:   /* 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); */
                   2694:   free_vector(min,1,nlstate);
                   2695:   free_vector(max,1,nlstate);
                   2696:   free_vector(meandiff,1,nlstate);
1.208     brouard  2697:   
1.169     brouard  2698:   return prlim; /* should not reach here */
1.126     brouard  2699: }
                   2700: 
1.217     brouard  2701: 
                   2702:  /**** Back Prevalence limit (stable or period prevalence)  ****************/
                   2703: 
1.218     brouard  2704:  /* 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) */
                   2705:  /* 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  2706:   double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ftolpl, int *ncvyear, int ij, int nres)
1.217     brouard  2707: {
1.264     brouard  2708:   /* 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  2709:      matrix by transitions matrix until convergence is reached with precision ftolpl */
                   2710:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2711:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2712:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2713:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2714:   /* Initial matrix pimij */
                   2715:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2716:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2717:   /*  0,                   0                  , 1} */
                   2718:   /*
                   2719:    * and after some iteration: */
                   2720:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2721:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2722:   /*  0,                   0                  , 1} */
                   2723:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2724:   /* {0.51571254859325999, 0.4842874514067399, */
                   2725:   /*  0.51326036147820708, 0.48673963852179264} */
                   2726:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2727: 
                   2728:   int i, ii,j,k;
1.247     brouard  2729:   int first=0;
1.217     brouard  2730:   double *min, *max, *meandiff, maxmax,sumnew=0.;
                   2731:   /* double **matprod2(); */ /* test */
                   2732:   double **out, cov[NCOVMAX+1], **bmij();
                   2733:   double **newm;
1.218     brouard  2734:   double        **dnewm, **doldm, **dsavm;  /* for use */
                   2735:   double        **oldm, **savm;  /* for use */
                   2736: 
1.217     brouard  2737:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
                   2738:   int ncvloop=0;
                   2739:   
                   2740:   min=vector(1,nlstate);
                   2741:   max=vector(1,nlstate);
                   2742:   meandiff=vector(1,nlstate);
                   2743: 
1.266     brouard  2744:   dnewm=ddnewms; doldm=ddoldms; dsavm=ddsavms;
                   2745:   oldm=oldms; savm=savms;
                   2746:   
                   2747:   /* Starting with matrix unity */
                   2748:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2749:     for (j=1;j<=nlstate+ndeath;j++){
1.217     brouard  2750:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2751:     }
                   2752:   
                   2753:   cov[1]=1.;
                   2754:   
                   2755:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2756:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.218     brouard  2757:   /* for(agefin=age+stepm/YEARM; agefin<=age+delaymax; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
1.288     brouard  2758:   /* for(agefin=age; agefin<AGESUP; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
                   2759:   for(agefin=age; agefin<FMIN(AGESUP,age+delaymax); agefin=agefin+stepm/YEARM){ /* A changer en age */
1.217     brouard  2760:     ncvloop++;
1.218     brouard  2761:     newm=savm; /* oldm should be kept from previous iteration or unity at start */
                   2762:                /* newm points to the allocated table savm passed by the function it can be written, savm could be reallocated */
1.217     brouard  2763:     /* Covariates have to be included here again */
                   2764:     cov[2]=agefin;
                   2765:     if(nagesqr==1)
                   2766:       cov[3]= agefin*agefin;;
1.242     brouard  2767:     for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   2768:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   2769:       cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
1.264     brouard  2770:       /* 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  2771:     }
                   2772:     /* for (k=1; k<=cptcovn;k++) { */
                   2773:     /*   /\* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; *\/ */
                   2774:     /*   cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   2775:     /*   /\* 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])]); *\/ */
                   2776:     /* } */
                   2777:     for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   2778:                        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   2779:       cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   2780:       /* 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]); */
                   2781:     }
                   2782:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2]; */
                   2783:     /* for (k=1; k<=cptcovprod;k++) /\* Useless *\/ */
                   2784:     /*   /\* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; *\/ */
                   2785:     /*   cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)]; */
                   2786:     for (k=1; k<=cptcovage;k++){  /* For product with age */
                   2787:       if(Dummy[Tvar[Tage[k]]]){
                   2788:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2789:       } else{
                   2790:        cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   2791:       }
                   2792:       /* 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]); */
                   2793:     }
                   2794:     for (k=1; k<=cptcovprod;k++){ /* For product without age */
                   2795:       /* 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]); */
                   2796:       if(Dummy[Tvard[k][1]==0]){
                   2797:        if(Dummy[Tvard[k][2]==0]){
                   2798:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2799:        }else{
                   2800:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k];
                   2801:        }
                   2802:       }else{
                   2803:        if(Dummy[Tvard[k][2]==0]){
                   2804:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]];
                   2805:        }else{
                   2806:          cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]];
                   2807:        }
                   2808:       }
1.217     brouard  2809:     }
                   2810:     
                   2811:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2812:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2813:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
                   2814:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2815:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2816:                /* ij should be linked to the correct index of cov */
                   2817:                /* age and covariate values ij are in 'cov', but we need to pass
                   2818:                 * ij for the observed prevalence at age and status and covariate
                   2819:                 * number:  prevacurrent[(int)agefin][ii][ij]
                   2820:                 */
                   2821:     /* 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 *\/ */
                   2822:     /* 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 *\/ */
                   2823:     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  2824:     /* if((int)age == 86 || (int)age == 87){ */
1.266     brouard  2825:     /*   printf(" Backward prevalim age=%d agefin=%d \n", (int) age, (int) agefin); */
                   2826:     /*   for(i=1; i<=nlstate+ndeath; i++) { */
                   2827:     /*         printf("%d newm= ",i); */
                   2828:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2829:     /*           printf("%f ",newm[i][j]); */
                   2830:     /*         } */
                   2831:     /*         printf("oldm * "); */
                   2832:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2833:     /*           printf("%f ",oldm[i][j]); */
                   2834:     /*         } */
1.268     brouard  2835:     /*         printf(" bmmij "); */
1.266     brouard  2836:     /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2837:     /*           printf("%f ",pmmij[i][j]); */
                   2838:     /*         } */
                   2839:     /*         printf("\n"); */
                   2840:     /*   } */
                   2841:     /* } */
1.217     brouard  2842:     savm=oldm;
                   2843:     oldm=newm;
1.266     brouard  2844: 
1.217     brouard  2845:     for(j=1; j<=nlstate; j++){
                   2846:       max[j]=0.;
                   2847:       min[j]=1.;
                   2848:     }
                   2849:     for(j=1; j<=nlstate; j++){ 
                   2850:       for(i=1;i<=nlstate;i++){
1.234     brouard  2851:        /* bprlim[i][j]= newm[i][j]/(1-sumnew); */
                   2852:        bprlim[i][j]= newm[i][j];
                   2853:        max[i]=FMAX(max[i],bprlim[i][j]); /* Max in line */
                   2854:        min[i]=FMIN(min[i],bprlim[i][j]);
1.217     brouard  2855:       }
                   2856:     }
1.218     brouard  2857:                
1.217     brouard  2858:     maxmax=0.;
                   2859:     for(i=1; i<=nlstate; i++){
                   2860:       meandiff[i]=(max[i]-min[i])/(max[i]+min[i])*2.; /* mean difference for each column */
                   2861:       maxmax=FMAX(maxmax,meandiff[i]);
                   2862:       /* 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  2863:     } /* i loop */
1.217     brouard  2864:     *ncvyear= -( (int)age- (int)agefin);
1.268     brouard  2865:     /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  2866:     if(maxmax < ftolpl){
1.220     brouard  2867:       /* printf("OK Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  2868:       free_vector(min,1,nlstate);
                   2869:       free_vector(max,1,nlstate);
                   2870:       free_vector(meandiff,1,nlstate);
                   2871:       return bprlim;
                   2872:     }
1.288     brouard  2873:   } /* agefin loop */
1.217     brouard  2874:     /* After some age loop it doesn't converge */
1.288     brouard  2875:   if(!first){
1.247     brouard  2876:     first=1;
                   2877:     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\
                   2878: 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);
                   2879:   }
                   2880:   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  2881: 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);
                   2882:   /* 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); */
                   2883:   free_vector(min,1,nlstate);
                   2884:   free_vector(max,1,nlstate);
                   2885:   free_vector(meandiff,1,nlstate);
                   2886:   
                   2887:   return bprlim; /* should not reach here */
                   2888: }
                   2889: 
1.126     brouard  2890: /*************** transition probabilities ***************/ 
                   2891: 
                   2892: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   2893: {
1.138     brouard  2894:   /* According to parameters values stored in x and the covariate's values stored in cov,
1.266     brouard  2895:      computes the probability to be observed in state j (after stepm years) being in state i by appying the
1.138     brouard  2896:      model to the ncovmodel covariates (including constant and age).
                   2897:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2898:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2899:      ncth covariate in the global vector x is given by the formula:
                   2900:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2901:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2902:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2903:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
1.266     brouard  2904:      Outputs ps[i][j] or probability to be observed in j being in i according to
1.138     brouard  2905:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
1.266     brouard  2906:      Sum on j ps[i][j] should equal to 1.
1.138     brouard  2907:   */
                   2908:   double s1, lnpijopii;
1.126     brouard  2909:   /*double t34;*/
1.164     brouard  2910:   int i,j, nc, ii, jj;
1.126     brouard  2911: 
1.223     brouard  2912:   for(i=1; i<= nlstate; i++){
                   2913:     for(j=1; j<i;j++){
                   2914:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2915:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   2916:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   2917:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2918:       }
                   2919:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2920:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2921:     }
                   2922:     for(j=i+1; j<=nlstate+ndeath;j++){
                   2923:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2924:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   2925:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   2926:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   2927:       }
                   2928:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2929:     }
                   2930:   }
1.218     brouard  2931:   
1.223     brouard  2932:   for(i=1; i<= nlstate; i++){
                   2933:     s1=0;
                   2934:     for(j=1; j<i; j++){
                   2935:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2936:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2937:     }
                   2938:     for(j=i+1; j<=nlstate+ndeath; j++){
                   2939:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2940:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2941:     }
                   2942:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   2943:     ps[i][i]=1./(s1+1.);
                   2944:     /* Computing other pijs */
                   2945:     for(j=1; j<i; j++)
                   2946:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2947:     for(j=i+1; j<=nlstate+ndeath; j++)
                   2948:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2949:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2950:   } /* end i */
1.218     brouard  2951:   
1.223     brouard  2952:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   2953:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   2954:       ps[ii][jj]=0;
                   2955:       ps[ii][ii]=1;
                   2956:     }
                   2957:   }
1.218     brouard  2958:   
                   2959:   
1.223     brouard  2960:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   2961:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   2962:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   2963:   /*   } */
                   2964:   /*   printf("\n "); */
                   2965:   /* } */
                   2966:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   2967:   /*
                   2968:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
1.218     brouard  2969:                goto end;*/
1.266     brouard  2970:   return ps; /* Pointer is unchanged since its call */
1.126     brouard  2971: }
                   2972: 
1.218     brouard  2973: /*************** backward transition probabilities ***************/ 
                   2974: 
                   2975:  /* 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 ) */
                   2976: /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ***dnewm, double **doldm, double **dsavm, int ij ) */
                   2977:  double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, int ij )
                   2978: {
1.266     brouard  2979:   /* Computes the backward probability at age agefin and covariate combination ij. In fact cov is already filled and x too.
                   2980:    * 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  2981:    */
1.218     brouard  2982:   int i, ii, j,k;
1.222     brouard  2983:   
                   2984:   double **out, **pmij();
                   2985:   double sumnew=0.;
1.218     brouard  2986:   double agefin;
1.268     brouard  2987:   double k3=0.; /* constant of the w_x diagonal matrixe (in order for B to sum to 1 even for death state) */
1.222     brouard  2988:   double **dnewm, **dsavm, **doldm;
                   2989:   double **bbmij;
                   2990:   
1.218     brouard  2991:   doldm=ddoldms; /* global pointers */
1.222     brouard  2992:   dnewm=ddnewms;
                   2993:   dsavm=ddsavms;
                   2994:   
                   2995:   agefin=cov[2];
1.268     brouard  2996:   /* Bx = Diag(w_x) P_x Diag(Sum_i w^i_x p^ij_x */
1.222     brouard  2997:   /* bmij *//* age is cov[2], ij is included in cov, but we need for
1.266     brouard  2998:      the observed prevalence (with this covariate ij) at beginning of transition */
                   2999:   /* dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
1.268     brouard  3000: 
                   3001:   /* P_x */
1.266     brouard  3002:   pmmij=pmij(pmmij,cov,ncovmodel,x,nlstate); /*This is forward probability from agefin to agefin + stepm */
1.268     brouard  3003:   /* outputs pmmij which is a stochastic matrix in row */
                   3004: 
                   3005:   /* Diag(w_x) */
                   3006:   /* Problem with prevacurrent which can be zero */
                   3007:   sumnew=0.;
1.269     brouard  3008:   /*for (ii=1;ii<=nlstate+ndeath;ii++){*/
1.268     brouard  3009:   for (ii=1;ii<=nlstate;ii++){ /* Only on live states */
1.269     brouard  3010:     /* printf(" agefin=%d, ii=%d, ij=%d, prev=%f\n",(int)agefin,ii, ij, prevacurrent[(int)agefin][ii][ij]);  */
1.268     brouard  3011:     sumnew+=prevacurrent[(int)agefin][ii][ij];
                   3012:   }
                   3013:   if(sumnew >0.01){  /* At least some value in the prevalence */
                   3014:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   3015:       for (j=1;j<=nlstate+ndeath;j++)
1.269     brouard  3016:        doldm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij]/sumnew : 0.0);
1.268     brouard  3017:     }
                   3018:   }else{
                   3019:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   3020:       for (j=1;j<=nlstate+ndeath;j++)
                   3021:       doldm[ii][j]=(ii==j ? 1./nlstate : 0.0);
                   3022:     }
                   3023:     /* if(sumnew <0.9){ */
                   3024:     /*   printf("Problem internal bmij B: sum on i wi <0.9: j=%d, sum_i wi=%lf,agefin=%d\n",j,sumnew, (int)agefin); */
                   3025:     /* } */
                   3026:   }
                   3027:   k3=0.0;  /* We put the last diagonal to 0 */
                   3028:   for (ii=nlstate+1;ii<=nlstate+ndeath;ii++){
                   3029:       doldm[ii][ii]= k3;
                   3030:   }
                   3031:   /* End doldm, At the end doldm is diag[(w_i)] */
                   3032:   
                   3033:   /* left Product of this diag matrix by pmmij=Px (dnewm=dsavm*doldm) */
                   3034:   bbmij=matprod2(dnewm, doldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, pmmij); /* Bug Valgrind */
                   3035: 
                   3036:   /* Diag(Sum_i w^i_x p^ij_x */
                   3037:   /* 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  3038:   for (j=1;j<=nlstate+ndeath;j++){
1.268     brouard  3039:     sumnew=0.;
1.222     brouard  3040:     for (ii=1;ii<=nlstate;ii++){
1.266     brouard  3041:       /* sumnew+=dsavm[ii][j]*prevacurrent[(int)agefin][ii][ij]; */
1.268     brouard  3042:       sumnew+=pmmij[ii][j]*doldm[ii][ii]; /* Yes prevalence at beginning of transition */
1.222     brouard  3043:     } /* sumnew is (N11+N21)/N..= N.1/N.. = sum on i of w_i pij */
1.268     brouard  3044:     for (ii=1;ii<=nlstate+ndeath;ii++){
1.222     brouard  3045:        /* if(agefin >= agemaxpar && agefin <= agemaxpar+stepm/YEARM){ */
1.268     brouard  3046:        /*      dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
1.222     brouard  3047:        /* }else if(agefin >= agemaxpar+stepm/YEARM){ */
1.268     brouard  3048:        /*      dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
1.222     brouard  3049:        /* }else */
1.268     brouard  3050:       dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0);
                   3051:     } /*End ii */
                   3052:   } /* 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 */
                   3053: 
                   3054:   ps=matprod2(ps, dnewm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dsavm); /* Bug Valgrind */
                   3055:   /* ps is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */
1.222     brouard  3056:   /* end bmij */
1.266     brouard  3057:   return ps; /*pointer is unchanged */
1.218     brouard  3058: }
1.217     brouard  3059: /*************** transition probabilities ***************/ 
                   3060: 
1.218     brouard  3061: double **bpmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
1.217     brouard  3062: {
                   3063:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   3064:      computes the probability to be observed in state j being in state i by appying the
                   3065:      model to the ncovmodel covariates (including constant and age).
                   3066:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   3067:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   3068:      ncth covariate in the global vector x is given by the formula:
                   3069:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   3070:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   3071:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   3072:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   3073:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   3074:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   3075:   */
                   3076:   double s1, lnpijopii;
                   3077:   /*double t34;*/
                   3078:   int i,j, nc, ii, jj;
                   3079: 
1.234     brouard  3080:   for(i=1; i<= nlstate; i++){
                   3081:     for(j=1; j<i;j++){
                   3082:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   3083:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   3084:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   3085:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   3086:       }
                   3087:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   3088:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   3089:     }
                   3090:     for(j=i+1; j<=nlstate+ndeath;j++){
                   3091:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   3092:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   3093:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   3094:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   3095:       }
                   3096:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   3097:     }
                   3098:   }
                   3099:   
                   3100:   for(i=1; i<= nlstate; i++){
                   3101:     s1=0;
                   3102:     for(j=1; j<i; j++){
                   3103:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   3104:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   3105:     }
                   3106:     for(j=i+1; j<=nlstate+ndeath; j++){
                   3107:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   3108:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   3109:     }
                   3110:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   3111:     ps[i][i]=1./(s1+1.);
                   3112:     /* Computing other pijs */
                   3113:     for(j=1; j<i; j++)
                   3114:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3115:     for(j=i+1; j<=nlstate+ndeath; j++)
                   3116:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   3117:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   3118:   } /* end i */
                   3119:   
                   3120:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   3121:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   3122:       ps[ii][jj]=0;
                   3123:       ps[ii][ii]=1;
                   3124:     }
                   3125:   }
                   3126:   /* Added for backcast */ /* Transposed matrix too */
                   3127:   for(jj=1; jj<= nlstate+ndeath; jj++){
                   3128:     s1=0.;
                   3129:     for(ii=1; ii<= nlstate+ndeath; ii++){
                   3130:       s1+=ps[ii][jj];
                   3131:     }
                   3132:     for(ii=1; ii<= nlstate; ii++){
                   3133:       ps[ii][jj]=ps[ii][jj]/s1;
                   3134:     }
                   3135:   }
                   3136:   /* Transposition */
                   3137:   for(jj=1; jj<= nlstate+ndeath; jj++){
                   3138:     for(ii=jj; ii<= nlstate+ndeath; ii++){
                   3139:       s1=ps[ii][jj];
                   3140:       ps[ii][jj]=ps[jj][ii];
                   3141:       ps[jj][ii]=s1;
                   3142:     }
                   3143:   }
                   3144:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   3145:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   3146:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   3147:   /*   } */
                   3148:   /*   printf("\n "); */
                   3149:   /* } */
                   3150:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   3151:   /*
                   3152:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   3153:     goto end;*/
                   3154:   return ps;
1.217     brouard  3155: }
                   3156: 
                   3157: 
1.126     brouard  3158: /**************** Product of 2 matrices ******************/
                   3159: 
1.145     brouard  3160: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  3161: {
                   3162:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   3163:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   3164:   /* in, b, out are matrice of pointers which should have been initialized 
                   3165:      before: only the contents of out is modified. The function returns
                   3166:      a pointer to pointers identical to out */
1.145     brouard  3167:   int i, j, k;
1.126     brouard  3168:   for(i=nrl; i<= nrh; i++)
1.145     brouard  3169:     for(k=ncolol; k<=ncoloh; k++){
                   3170:       out[i][k]=0.;
                   3171:       for(j=ncl; j<=nch; j++)
                   3172:        out[i][k] +=in[i][j]*b[j][k];
                   3173:     }
1.126     brouard  3174:   return out;
                   3175: }
                   3176: 
                   3177: 
                   3178: /************* Higher Matrix Product ***************/
                   3179: 
1.235     brouard  3180: 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  3181: {
1.218     brouard  3182:   /* Computes the transition matrix starting at age 'age' and combination of covariate values corresponding to ij over 
1.126     brouard  3183:      'nhstepm*hstepm*stepm' months (i.e. until
                   3184:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   3185:      nhstepm*hstepm matrices. 
                   3186:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   3187:      (typically every 2 years instead of every month which is too big 
                   3188:      for the memory).
                   3189:      Model is determined by parameters x and covariates have to be 
                   3190:      included manually here. 
                   3191: 
                   3192:      */
                   3193: 
                   3194:   int i, j, d, h, k;
1.131     brouard  3195:   double **out, cov[NCOVMAX+1];
1.126     brouard  3196:   double **newm;
1.187     brouard  3197:   double agexact;
1.214     brouard  3198:   double agebegin, ageend;
1.126     brouard  3199: 
                   3200:   /* Hstepm could be zero and should return the unit matrix */
                   3201:   for (i=1;i<=nlstate+ndeath;i++)
                   3202:     for (j=1;j<=nlstate+ndeath;j++){
                   3203:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   3204:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   3205:     }
                   3206:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   3207:   for(h=1; h <=nhstepm; h++){
                   3208:     for(d=1; d <=hstepm; d++){
                   3209:       newm=savm;
                   3210:       /* Covariates have to be included here again */
                   3211:       cov[1]=1.;
1.214     brouard  3212:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
1.187     brouard  3213:       cov[2]=agexact;
                   3214:       if(nagesqr==1)
1.227     brouard  3215:        cov[3]= agexact*agexact;
1.235     brouard  3216:       for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
                   3217:                        /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
                   3218:        cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
                   3219:        /* 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)); */
                   3220:       }
                   3221:       for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   3222:        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   3223:        cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   3224:        /* 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]); */
                   3225:       }
                   3226:       for (k=1; k<=cptcovage;k++){
                   3227:        if(Dummy[Tvar[Tage[k]]]){
                   3228:          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   3229:        } else{
                   3230:          cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   3231:        }
                   3232:        /* 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]); */
                   3233:       }
                   3234:       for (k=1; k<=cptcovprod;k++){ /*  */
                   3235:        /* 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]); */
                   3236:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   3237:       }
                   3238:       /* for (k=1; k<=cptcovn;k++)  */
                   3239:       /*       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   3240:       /* for (k=1; k<=cptcovage;k++) /\* Should start at cptcovn+1 *\/ */
                   3241:       /*       cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2]; */
                   3242:       /* for (k=1; k<=cptcovprod;k++) /\* Useless because included in cptcovn *\/ */
                   3243:       /*       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)]; */
1.227     brouard  3244:       
                   3245:       
1.126     brouard  3246:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   3247:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.218     brouard  3248:                        /* right multiplication of oldm by the current matrix */
1.126     brouard  3249:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   3250:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
1.217     brouard  3251:       /* if((int)age == 70){ */
                   3252:       /*       printf(" Forward hpxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   3253:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   3254:       /*         printf("%d pmmij ",i); */
                   3255:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3256:       /*           printf("%f ",pmmij[i][j]); */
                   3257:       /*         } */
                   3258:       /*         printf(" oldm "); */
                   3259:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3260:       /*           printf("%f ",oldm[i][j]); */
                   3261:       /*         } */
                   3262:       /*         printf("\n"); */
                   3263:       /*       } */
                   3264:       /* } */
1.126     brouard  3265:       savm=oldm;
                   3266:       oldm=newm;
                   3267:     }
                   3268:     for(i=1; i<=nlstate+ndeath; i++)
                   3269:       for(j=1;j<=nlstate+ndeath;j++) {
1.267     brouard  3270:        po[i][j][h]=newm[i][j];
                   3271:        /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  3272:       }
1.128     brouard  3273:     /*printf("h=%d ",h);*/
1.126     brouard  3274:   } /* end h */
1.267     brouard  3275:   /*     printf("\n H=%d \n",h); */
1.126     brouard  3276:   return po;
                   3277: }
                   3278: 
1.217     brouard  3279: /************* Higher Back Matrix Product ***************/
1.218     brouard  3280: /* 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  3281: 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  3282: {
1.266     brouard  3283:   /* For a combination of dummy covariate ij, computes the transition matrix starting at age 'age' over
1.217     brouard  3284:      'nhstepm*hstepm*stepm' months (i.e. until
1.218     brouard  3285:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
                   3286:      nhstepm*hstepm matrices.
                   3287:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step
                   3288:      (typically every 2 years instead of every month which is too big
1.217     brouard  3289:      for the memory).
1.218     brouard  3290:      Model is determined by parameters x and covariates have to be
1.266     brouard  3291:      included manually here. Then we use a call to bmij(x and cov)
                   3292:      The addresss of po (p3mat allocated to the dimension of nhstepm) should be stored for output
1.222     brouard  3293:   */
1.217     brouard  3294: 
                   3295:   int i, j, d, h, k;
1.266     brouard  3296:   double **out, cov[NCOVMAX+1], **bmij();
                   3297:   double **newm, ***newmm;
1.217     brouard  3298:   double agexact;
                   3299:   double agebegin, ageend;
1.222     brouard  3300:   double **oldm, **savm;
1.217     brouard  3301: 
1.266     brouard  3302:   newmm=po; /* To be saved */
                   3303:   oldm=oldms;savm=savms; /* Global pointers */
1.217     brouard  3304:   /* Hstepm could be zero and should return the unit matrix */
                   3305:   for (i=1;i<=nlstate+ndeath;i++)
                   3306:     for (j=1;j<=nlstate+ndeath;j++){
                   3307:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   3308:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   3309:     }
                   3310:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   3311:   for(h=1; h <=nhstepm; h++){
                   3312:     for(d=1; d <=hstepm; d++){
                   3313:       newm=savm;
                   3314:       /* Covariates have to be included here again */
                   3315:       cov[1]=1.;
1.271     brouard  3316:       agexact=age-( (h-1)*hstepm + (d)  )*stepm/YEARM; /* age just before transition, d or d-1? */
1.217     brouard  3317:       /* agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /\* age just before transition *\/ */
                   3318:       cov[2]=agexact;
                   3319:       if(nagesqr==1)
1.222     brouard  3320:        cov[3]= agexact*agexact;
1.266     brouard  3321:       for (k=1; k<=cptcovn;k++){
                   3322:       /*       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
                   3323:       /* /\* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; *\/ */
                   3324:        cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
                   3325:         /* 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)); */
                   3326:       }
1.267     brouard  3327:       for (k=1; k<=nsq;k++) { /* For single varying covariates only */
                   3328:        /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
                   3329:        cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; 
                   3330:        /* 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]); */
                   3331:       }
                   3332:       for (k=1; k<=cptcovage;k++){ /* Should start at cptcovn+1 */
                   3333:        if(Dummy[Tvar[Tage[k]]]){
                   3334:          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   3335:        } else{
                   3336:          cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; 
                   3337:        }
                   3338:        /* 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]); */
                   3339:       }
                   3340:       for (k=1; k<=cptcovprod;k++){ /* Useless because included in cptcovn */
1.222     brouard  3341:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.267     brouard  3342:       }                        
1.217     brouard  3343:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   3344:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.267     brouard  3345: 
1.218     brouard  3346:       /* Careful transposed matrix */
1.266     brouard  3347:       /* age is in cov[2], prevacurrent at beginning of transition. */
1.218     brouard  3348:       /* out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\ */
1.222     brouard  3349:       /*                                                1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); */
1.218     brouard  3350:       out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij),\
1.222     brouard  3351:                   1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
1.217     brouard  3352:       /* if((int)age == 70){ */
                   3353:       /*       printf(" Backward hbxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   3354:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   3355:       /*         printf("%d pmmij ",i); */
                   3356:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3357:       /*           printf("%f ",pmmij[i][j]); */
                   3358:       /*         } */
                   3359:       /*         printf(" oldm "); */
                   3360:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   3361:       /*           printf("%f ",oldm[i][j]); */
                   3362:       /*         } */
                   3363:       /*         printf("\n"); */
                   3364:       /*       } */
                   3365:       /* } */
                   3366:       savm=oldm;
                   3367:       oldm=newm;
                   3368:     }
                   3369:     for(i=1; i<=nlstate+ndeath; i++)
                   3370:       for(j=1;j<=nlstate+ndeath;j++) {
1.222     brouard  3371:        po[i][j][h]=newm[i][j];
1.268     brouard  3372:        /* if(h==nhstepm) */
                   3373:        /*   printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]); */
1.217     brouard  3374:       }
1.268     brouard  3375:     /* printf("h=%d %.1f ",h, agexact); */
1.217     brouard  3376:   } /* end h */
1.268     brouard  3377:   /* printf("\n H=%d nhs=%d \n",h, nhstepm); */
1.217     brouard  3378:   return po;
                   3379: }
                   3380: 
                   3381: 
1.162     brouard  3382: #ifdef NLOPT
                   3383:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   3384:   double fret;
                   3385:   double *xt;
                   3386:   int j;
                   3387:   myfunc_data *d2 = (myfunc_data *) pd;
                   3388: /* xt = (p1-1); */
                   3389:   xt=vector(1,n); 
                   3390:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   3391: 
                   3392:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   3393:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   3394:   printf("Function = %.12lf ",fret);
                   3395:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   3396:   printf("\n");
                   3397:  free_vector(xt,1,n);
                   3398:   return fret;
                   3399: }
                   3400: #endif
1.126     brouard  3401: 
                   3402: /*************** log-likelihood *************/
                   3403: double func( double *x)
                   3404: {
1.226     brouard  3405:   int i, ii, j, k, mi, d, kk;
                   3406:   int ioffset=0;
                   3407:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
                   3408:   double **out;
                   3409:   double lli; /* Individual log likelihood */
                   3410:   int s1, s2;
1.228     brouard  3411:   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  3412:   double bbh, survp;
                   3413:   long ipmx;
                   3414:   double agexact;
                   3415:   /*extern weight */
                   3416:   /* We are differentiating ll according to initial status */
                   3417:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3418:   /*for(i=1;i<imx;i++) 
                   3419:     printf(" %d\n",s[4][i]);
                   3420:   */
1.162     brouard  3421: 
1.226     brouard  3422:   ++countcallfunc;
1.162     brouard  3423: 
1.226     brouard  3424:   cov[1]=1.;
1.126     brouard  3425: 
1.226     brouard  3426:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3427:   ioffset=0;
1.226     brouard  3428:   if(mle==1){
                   3429:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3430:       /* Computes the values of the ncovmodel covariates of the model
                   3431:         depending if the covariates are fixed or varying (age dependent) and stores them in cov[]
                   3432:         Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                   3433:         to be observed in j being in i according to the model.
                   3434:       */
1.243     brouard  3435:       ioffset=2+nagesqr ;
1.233     brouard  3436:    /* Fixed */
1.234     brouard  3437:       for (k=1; k<=ncovf;k++){ /* Simple and product fixed covariates without age* products */
                   3438:        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)*/
                   3439:       }
1.226     brouard  3440:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
                   3441:         is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
                   3442:         has been calculated etc */
                   3443:       /* For an individual i, wav[i] gives the number of effective waves */
                   3444:       /* We compute the contribution to Likelihood of each effective transition
                   3445:         mw[mi][i] is real wave of the mi th effectve wave */
                   3446:       /* Then statuses are computed at each begin and end of an effective wave s1=s[ mw[mi][i] ][i];
                   3447:         s2=s[mw[mi+1][i]][i];
                   3448:         And the iv th varying covariate is the cotvar[mw[mi+1][i]][iv][i]
                   3449:         But if the variable is not in the model TTvar[iv] is the real variable effective in the model:
                   3450:         meaning that decodemodel should be used cotvar[mw[mi+1][i]][TTvar[iv]][i]
                   3451:       */
                   3452:       for(mi=1; mi<= wav[i]-1; mi++){
1.234     brouard  3453:        for(k=1; k <= ncovv ; k++){ /* Varying  covariates (single and product but no age )*/
1.242     brouard  3454:          /* cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i]; */
                   3455:          cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]-ncovcol-nqv][i];
1.234     brouard  3456:        }
                   3457:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3458:          for (j=1;j<=nlstate+ndeath;j++){
                   3459:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3460:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3461:          }
                   3462:        for(d=0; d<dh[mi][i]; d++){
                   3463:          newm=savm;
                   3464:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3465:          cov[2]=agexact;
                   3466:          if(nagesqr==1)
                   3467:            cov[3]= agexact*agexact;  /* Should be changed here */
                   3468:          for (kk=1; kk<=cptcovage;kk++) {
1.242     brouard  3469:          if(!FixedV[Tvar[Tage[kk]]])
1.234     brouard  3470:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
1.242     brouard  3471:          else
                   3472:            cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]-ncovcol-nqv][i]*agexact;
1.234     brouard  3473:          }
                   3474:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3475:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3476:          savm=oldm;
                   3477:          oldm=newm;
                   3478:        } /* end mult */
                   3479:        
                   3480:        /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   3481:        /* But now since version 0.9 we anticipate for bias at large stepm.
                   3482:         * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   3483:         * (in months) between two waves is not a multiple of stepm, we rounded to 
                   3484:         * the nearest (and in case of equal distance, to the lowest) interval but now
                   3485:         * we keep into memory the bias bh[mi][i] and also the previous matrix product
                   3486:         * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                   3487:         * probability in order to take into account the bias as a fraction of the way
1.231     brouard  3488:                                 * from savm to out if bh is negative or even beyond if bh is positive. bh varies
                   3489:                                 * -stepm/2 to stepm/2 .
                   3490:                                 * For stepm=1 the results are the same as for previous versions of Imach.
                   3491:                                 * For stepm > 1 the results are less biased than in previous versions. 
                   3492:                                 */
1.234     brouard  3493:        s1=s[mw[mi][i]][i];
                   3494:        s2=s[mw[mi+1][i]][i];
                   3495:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3496:        /* bias bh is positive if real duration
                   3497:         * is higher than the multiple of stepm and negative otherwise.
                   3498:         */
                   3499:        /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
                   3500:        if( s2 > nlstate){ 
                   3501:          /* i.e. if s2 is a death state and if the date of death is known 
                   3502:             then the contribution to the likelihood is the probability to 
                   3503:             die between last step unit time and current  step unit time, 
                   3504:             which is also equal to probability to die before dh 
                   3505:             minus probability to die before dh-stepm . 
                   3506:             In version up to 0.92 likelihood was computed
                   3507:             as if date of death was unknown. Death was treated as any other
                   3508:             health state: the date of the interview describes the actual state
                   3509:             and not the date of a change in health state. The former idea was
                   3510:             to consider that at each interview the state was recorded
                   3511:             (healthy, disable or death) and IMaCh was corrected; but when we
                   3512:             introduced the exact date of death then we should have modified
                   3513:             the contribution of an exact death to the likelihood. This new
                   3514:             contribution is smaller and very dependent of the step unit
                   3515:             stepm. It is no more the probability to die between last interview
                   3516:             and month of death but the probability to survive from last
                   3517:             interview up to one month before death multiplied by the
                   3518:             probability to die within a month. Thanks to Chris
                   3519:             Jackson for correcting this bug.  Former versions increased
                   3520:             mortality artificially. The bad side is that we add another loop
                   3521:             which slows down the processing. The difference can be up to 10%
                   3522:             lower mortality.
                   3523:          */
                   3524:          /* If, at the beginning of the maximization mostly, the
                   3525:             cumulative probability or probability to be dead is
                   3526:             constant (ie = 1) over time d, the difference is equal to
                   3527:             0.  out[s1][3] = savm[s1][3]: probability, being at state
                   3528:             s1 at precedent wave, to be dead a month before current
                   3529:             wave is equal to probability, being at state s1 at
                   3530:             precedent wave, to be dead at mont of the current
                   3531:             wave. Then the observed probability (that this person died)
                   3532:             is null according to current estimated parameter. In fact,
                   3533:             it should be very low but not zero otherwise the log go to
                   3534:             infinity.
                   3535:          */
1.183     brouard  3536: /* #ifdef INFINITYORIGINAL */
                   3537: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3538: /* #else */
                   3539: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   3540: /*         lli=log(mytinydouble); */
                   3541: /*       else */
                   3542: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3543: /* #endif */
1.226     brouard  3544:          lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3545:          
1.226     brouard  3546:        } else if  ( s2==-1 ) { /* alive */
                   3547:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3548:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3549:          /*survp += out[s1][j]; */
                   3550:          lli= log(survp);
                   3551:        }
                   3552:        else if  (s2==-4) { 
                   3553:          for (j=3,survp=0. ; j<=nlstate; j++)  
                   3554:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3555:          lli= log(survp); 
                   3556:        } 
                   3557:        else if  (s2==-5) { 
                   3558:          for (j=1,survp=0. ; j<=2; j++)  
                   3559:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3560:          lli= log(survp); 
                   3561:        } 
                   3562:        else{
                   3563:          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3564:          /*  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 */
                   3565:        } 
                   3566:        /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                   3567:        /*if(lli ==000.0)*/
                   3568:        /*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); */
                   3569:        ipmx +=1;
                   3570:        sw += weight[i];
                   3571:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3572:        /* if (lli < log(mytinydouble)){ */
                   3573:        /*   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); */
                   3574:        /*   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]); */
                   3575:        /* } */
                   3576:       } /* end of wave */
                   3577:     } /* end of individual */
                   3578:   }  else if(mle==2){
                   3579:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3580:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3581:       for(mi=1; mi<= wav[i]-1; mi++){
                   3582:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3583:          for (j=1;j<=nlstate+ndeath;j++){
                   3584:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3585:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3586:          }
                   3587:        for(d=0; d<=dh[mi][i]; d++){
                   3588:          newm=savm;
                   3589:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3590:          cov[2]=agexact;
                   3591:          if(nagesqr==1)
                   3592:            cov[3]= agexact*agexact;
                   3593:          for (kk=1; kk<=cptcovage;kk++) {
                   3594:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3595:          }
                   3596:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3597:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3598:          savm=oldm;
                   3599:          oldm=newm;
                   3600:        } /* end mult */
                   3601:       
                   3602:        s1=s[mw[mi][i]][i];
                   3603:        s2=s[mw[mi+1][i]][i];
                   3604:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3605:        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 */
                   3606:        ipmx +=1;
                   3607:        sw += weight[i];
                   3608:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3609:       } /* end of wave */
                   3610:     } /* end of individual */
                   3611:   }  else if(mle==3){  /* exponential inter-extrapolation */
                   3612:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3613:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3614:       for(mi=1; mi<= wav[i]-1; mi++){
                   3615:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3616:          for (j=1;j<=nlstate+ndeath;j++){
                   3617:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3618:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3619:          }
                   3620:        for(d=0; d<dh[mi][i]; d++){
                   3621:          newm=savm;
                   3622:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3623:          cov[2]=agexact;
                   3624:          if(nagesqr==1)
                   3625:            cov[3]= agexact*agexact;
                   3626:          for (kk=1; kk<=cptcovage;kk++) {
                   3627:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3628:          }
                   3629:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3630:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3631:          savm=oldm;
                   3632:          oldm=newm;
                   3633:        } /* end mult */
                   3634:       
                   3635:        s1=s[mw[mi][i]][i];
                   3636:        s2=s[mw[mi+1][i]][i];
                   3637:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3638:        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 */
                   3639:        ipmx +=1;
                   3640:        sw += weight[i];
                   3641:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3642:       } /* end of wave */
                   3643:     } /* end of individual */
                   3644:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
                   3645:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3646:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3647:       for(mi=1; mi<= wav[i]-1; mi++){
                   3648:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3649:          for (j=1;j<=nlstate+ndeath;j++){
                   3650:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3651:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3652:          }
                   3653:        for(d=0; d<dh[mi][i]; d++){
                   3654:          newm=savm;
                   3655:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3656:          cov[2]=agexact;
                   3657:          if(nagesqr==1)
                   3658:            cov[3]= agexact*agexact;
                   3659:          for (kk=1; kk<=cptcovage;kk++) {
                   3660:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3661:          }
1.126     brouard  3662:        
1.226     brouard  3663:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3664:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3665:          savm=oldm;
                   3666:          oldm=newm;
                   3667:        } /* end mult */
                   3668:       
                   3669:        s1=s[mw[mi][i]][i];
                   3670:        s2=s[mw[mi+1][i]][i];
                   3671:        if( s2 > nlstate){ 
                   3672:          lli=log(out[s1][s2] - savm[s1][s2]);
                   3673:        } else if  ( s2==-1 ) { /* alive */
                   3674:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3675:            survp += out[s1][j];
                   3676:          lli= log(survp);
                   3677:        }else{
                   3678:          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3679:        }
                   3680:        ipmx +=1;
                   3681:        sw += weight[i];
                   3682:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.126     brouard  3683: /*     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  3684:       } /* end of wave */
                   3685:     } /* end of individual */
                   3686:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
                   3687:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3688:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3689:       for(mi=1; mi<= wav[i]-1; mi++){
                   3690:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3691:          for (j=1;j<=nlstate+ndeath;j++){
                   3692:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3693:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3694:          }
                   3695:        for(d=0; d<dh[mi][i]; d++){
                   3696:          newm=savm;
                   3697:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3698:          cov[2]=agexact;
                   3699:          if(nagesqr==1)
                   3700:            cov[3]= agexact*agexact;
                   3701:          for (kk=1; kk<=cptcovage;kk++) {
                   3702:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3703:          }
1.126     brouard  3704:        
1.226     brouard  3705:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3706:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3707:          savm=oldm;
                   3708:          oldm=newm;
                   3709:        } /* end mult */
                   3710:       
                   3711:        s1=s[mw[mi][i]][i];
                   3712:        s2=s[mw[mi+1][i]][i];
                   3713:        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3714:        ipmx +=1;
                   3715:        sw += weight[i];
                   3716:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3717:        /*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]);*/
                   3718:       } /* end of wave */
                   3719:     } /* end of individual */
                   3720:   } /* End of if */
                   3721:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3722:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3723:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3724:   return -l;
1.126     brouard  3725: }
                   3726: 
                   3727: /*************** log-likelihood *************/
                   3728: double funcone( double *x)
                   3729: {
1.228     brouard  3730:   /* Same as func but slower because of a lot of printf and if */
1.126     brouard  3731:   int i, ii, j, k, mi, d, kk;
1.228     brouard  3732:   int ioffset=0;
1.131     brouard  3733:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  3734:   double **out;
                   3735:   double lli; /* Individual log likelihood */
                   3736:   double llt;
                   3737:   int s1, s2;
1.228     brouard  3738:   int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate, quantitative time varying covariate */
                   3739: 
1.126     brouard  3740:   double bbh, survp;
1.187     brouard  3741:   double agexact;
1.214     brouard  3742:   double agebegin, ageend;
1.126     brouard  3743:   /*extern weight */
                   3744:   /* We are differentiating ll according to initial status */
                   3745:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3746:   /*for(i=1;i<imx;i++) 
                   3747:     printf(" %d\n",s[4][i]);
                   3748:   */
                   3749:   cov[1]=1.;
                   3750: 
                   3751:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3752:   ioffset=0;
                   3753:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.243     brouard  3754:     /* ioffset=2+nagesqr+cptcovage; */
                   3755:     ioffset=2+nagesqr;
1.232     brouard  3756:     /* Fixed */
1.224     brouard  3757:     /* for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i]; */
1.232     brouard  3758:     /* for (k=1; k<=ncoveff;k++){ /\* Simple and product fixed Dummy covariates without age* products *\/ */
                   3759:     for (k=1; k<=ncovf;k++){ /* Simple and product fixed covariates without age* products */
                   3760:       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)*/
                   3761: /*    cov[ioffset+TvarFind[1]]=covar[Tvar[TvarFind[1]]][i];  */
                   3762: /*    cov[2+6]=covar[Tvar[6]][i];  */
                   3763: /*    cov[2+6]=covar[2][i]; V2  */
                   3764: /*    cov[TvarFind[2]]=covar[Tvar[TvarFind[2]]][i];  */
                   3765: /*    cov[2+7]=covar[Tvar[7]][i];  */
                   3766: /*    cov[2+7]=covar[7][i]; V7=V1*V2  */
                   3767: /*    cov[TvarFind[3]]=covar[Tvar[TvarFind[3]]][i];  */
                   3768: /*    cov[2+9]=covar[Tvar[9]][i];  */
                   3769: /*    cov[2+9]=covar[1][i]; V1  */
1.225     brouard  3770:     }
1.232     brouard  3771:     /* for (k=1; k<=nqfveff;k++){ /\* Simple and product fixed Quantitative covariates without age* products *\/ */
                   3772:     /*   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?)*\/ */
                   3773:     /* } */
1.231     brouard  3774:     /* for(iqv=1; iqv <= nqfveff; iqv++){ /\* Quantitative fixed covariates *\/ */
                   3775:     /*   cov[++ioffset]=coqvar[Tvar[iqv]][i]; /\* Only V2 k=6 and V1*V2 7 *\/ */
                   3776:     /* } */
1.225     brouard  3777:     
1.233     brouard  3778: 
                   3779:     for(mi=1; mi<= wav[i]-1; mi++){  /* Varying with waves */
1.232     brouard  3780:     /* Wave varying (but not age varying) */
                   3781:       for(k=1; k <= ncovv ; k++){ /* Varying  covariates (single and product but no age )*/
1.242     brouard  3782:        /* cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i]; */
                   3783:        cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]-ncovcol-nqv][i];
                   3784:       }
1.232     brouard  3785:       /* for(itv=1; itv <= ntveff; itv++){ /\* Varying dummy covariates (single??)*\/ */
1.242     brouard  3786:       /* iv= Tvar[Tmodelind[ioffset-2-nagesqr-cptcovage+itv]]-ncovcol-nqv; /\* Counting the # varying covariate from 1 to ntveff *\/ */
                   3787:       /* cov[ioffset+iv]=cotvar[mw[mi][i]][iv][i]; */
                   3788:       /* k=ioffset-2-nagesqr-cptcovage+itv; /\* position in simple model *\/ */
                   3789:       /* cov[ioffset+itv]=cotvar[mw[mi][i]][TmodelInvind[itv]][i]; */
                   3790:       /* 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  3791:       /* for(iqtv=1; iqtv <= nqtveff; iqtv++){ /\* Varying quantitatives covariates *\/ */
1.242     brouard  3792:       /*       iv=TmodelInvQind[iqtv]; /\* Counting the # varying covariate from 1 to ntveff *\/ */
                   3793:       /*       /\* 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]); *\/ */
                   3794:       /*       cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i]; */
1.232     brouard  3795:       /* } */
1.126     brouard  3796:       for (ii=1;ii<=nlstate+ndeath;ii++)
1.242     brouard  3797:        for (j=1;j<=nlstate+ndeath;j++){
                   3798:          oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3799:          savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3800:        }
1.214     brouard  3801:       
                   3802:       agebegin=agev[mw[mi][i]][i]; /* Age at beginning of effective wave */
                   3803:       ageend=agev[mw[mi][i]][i] + (dh[mi][i])*stepm/YEARM; /* Age at end of effective wave and at the end of transition */
                   3804:       for(d=0; d<dh[mi][i]; d++){  /* Delay between two effective waves */
1.247     brouard  3805:       /* for(d=0; d<=0; d++){  /\* Delay between two effective waves Only one matrix to speed up*\/ */
1.242     brouard  3806:        /*dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   3807:          and mw[mi+1][i]. dh depends on stepm.*/
                   3808:        newm=savm;
1.247     brouard  3809:        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;  /* Here d is needed */
1.242     brouard  3810:        cov[2]=agexact;
                   3811:        if(nagesqr==1)
                   3812:          cov[3]= agexact*agexact;
                   3813:        for (kk=1; kk<=cptcovage;kk++) {
                   3814:          if(!FixedV[Tvar[Tage[kk]]])
                   3815:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3816:          else
                   3817:            cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]-ncovcol-nqv][i]*agexact;
                   3818:        }
                   3819:        /* printf("i=%d,mi=%d,d=%d,mw[mi][i]=%d\n",i, mi,d,mw[mi][i]); */
                   3820:        /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   3821:        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3822:                     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3823:        /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
                   3824:        /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
                   3825:        savm=oldm;
                   3826:        oldm=newm;
1.126     brouard  3827:       } /* end mult */
                   3828:       
                   3829:       s1=s[mw[mi][i]][i];
                   3830:       s2=s[mw[mi+1][i]][i];
1.217     brouard  3831:       /* if(s2==-1){ */
1.268     brouard  3832:       /*       printf(" ERROR s1=%d, s2=%d i=%d \n", s1, s2, i); */
1.217     brouard  3833:       /*       /\* exit(1); *\/ */
                   3834:       /* } */
1.126     brouard  3835:       bbh=(double)bh[mi][i]/(double)stepm; 
                   3836:       /* bias is positive if real duration
                   3837:        * is higher than the multiple of stepm and negative otherwise.
                   3838:        */
                   3839:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
1.242     brouard  3840:        lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3841:       } else if  ( s2==-1 ) { /* alive */
1.242     brouard  3842:        for (j=1,survp=0. ; j<=nlstate; j++) 
                   3843:          survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3844:        lli= log(survp);
1.126     brouard  3845:       }else if (mle==1){
1.242     brouard  3846:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
1.126     brouard  3847:       } else if(mle==2){
1.242     brouard  3848:        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  3849:       } else if(mle==3){  /* exponential inter-extrapolation */
1.242     brouard  3850:        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  3851:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
1.242     brouard  3852:        lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  3853:       } else{  /* mle=0 back to 1 */
1.242     brouard  3854:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3855:        /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  3856:       } /* End of if */
                   3857:       ipmx +=1;
                   3858:       sw += weight[i];
                   3859:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  3860:       /*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  3861:       if(globpr){
1.246     brouard  3862:        fprintf(ficresilk,"%09ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %15.6f %8.4f %8.3f\
1.126     brouard  3863:  %11.6f %11.6f %11.6f ", \
1.242     brouard  3864:                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  3865:                2*weight[i]*lli,(s2==-1? -1: out[s1][s2]),(s2==-1? -1: savm[s1][s2]));
1.242     brouard  3866:        for(k=1,llt=0.,l=0.; k<=nlstate; k++){
                   3867:          llt +=ll[k]*gipmx/gsw;
                   3868:          fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                   3869:        }
                   3870:        fprintf(ficresilk," %10.6f\n", -llt);
1.126     brouard  3871:       }
1.232     brouard  3872:        } /* end of wave */
                   3873: } /* end of individual */
                   3874: for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3875: /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3876: l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3877: if(globpr==0){ /* First time we count the contributions and weights */
                   3878:        gipmx=ipmx;
                   3879:        gsw=sw;
                   3880: }
                   3881: return -l;
1.126     brouard  3882: }
                   3883: 
                   3884: 
                   3885: /*************** function likelione ***********/
                   3886: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
                   3887: {
                   3888:   /* This routine should help understanding what is done with 
                   3889:      the selection of individuals/waves and
                   3890:      to check the exact contribution to the likelihood.
                   3891:      Plotting could be done.
                   3892:    */
                   3893:   int k;
                   3894: 
                   3895:   if(*globpri !=0){ /* Just counts and sums, no printings */
1.201     brouard  3896:     strcpy(fileresilk,"ILK_"); 
1.202     brouard  3897:     strcat(fileresilk,fileresu);
1.126     brouard  3898:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   3899:       printf("Problem with resultfile: %s\n", fileresilk);
                   3900:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   3901:     }
1.214     brouard  3902:     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");
                   3903:     fprintf(ficresilk, "#num_i ageb agend i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav ");
1.126     brouard  3904:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   3905:     for(k=1; k<=nlstate; k++) 
                   3906:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   3907:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   3908:   }
                   3909: 
                   3910:   *fretone=(*funcone)(p);
                   3911:   if(*globpri !=0){
                   3912:     fclose(ficresilk);
1.205     brouard  3913:     if (mle ==0)
                   3914:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
                   3915:     else if(mle >=1)
                   3916:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
                   3917:     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  3918:     fprintf(fichtm,"\n<br>Equation of the model: <b>model=1+age+%s</b><br>\n",model); 
1.208     brouard  3919:       
                   3920:     for (k=1; k<= nlstate ; k++) {
1.211     brouard  3921:       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  3922: <img src=\"%s-p%dj.png\">",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
                   3923:     }
1.207     brouard  3924:     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  3925: <img src=\"%s-ori.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3926:     fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
1.204     brouard  3927: <img src=\"%s-dest.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3928:     fflush(fichtm);
1.205     brouard  3929:   }
1.126     brouard  3930:   return;
                   3931: }
                   3932: 
                   3933: 
                   3934: /*********** Maximum Likelihood Estimation ***************/
                   3935: 
                   3936: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   3937: {
1.165     brouard  3938:   int i,j, iter=0;
1.126     brouard  3939:   double **xi;
                   3940:   double fret;
                   3941:   double fretone; /* Only one call to likelihood */
                   3942:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  3943: 
                   3944: #ifdef NLOPT
                   3945:   int creturn;
                   3946:   nlopt_opt opt;
                   3947:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   3948:   double *lb;
                   3949:   double minf; /* the minimum objective value, upon return */
                   3950:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   3951:   myfunc_data dinst, *d = &dinst;
                   3952: #endif
                   3953: 
                   3954: 
1.126     brouard  3955:   xi=matrix(1,npar,1,npar);
                   3956:   for (i=1;i<=npar;i++)
                   3957:     for (j=1;j<=npar;j++)
                   3958:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   3959:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.201     brouard  3960:   strcpy(filerespow,"POW_"); 
1.126     brouard  3961:   strcat(filerespow,fileres);
                   3962:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   3963:     printf("Problem with resultfile: %s\n", filerespow);
                   3964:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   3965:   }
                   3966:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   3967:   for (i=1;i<=nlstate;i++)
                   3968:     for(j=1;j<=nlstate+ndeath;j++)
                   3969:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   3970:   fprintf(ficrespow,"\n");
1.162     brouard  3971: #ifdef POWELL
1.126     brouard  3972:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.162     brouard  3973: #endif
1.126     brouard  3974: 
1.162     brouard  3975: #ifdef NLOPT
                   3976: #ifdef NEWUOA
                   3977:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   3978: #else
                   3979:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   3980: #endif
                   3981:   lb=vector(0,npar-1);
                   3982:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   3983:   nlopt_set_lower_bounds(opt, lb);
                   3984:   nlopt_set_initial_step1(opt, 0.1);
                   3985:   
                   3986:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   3987:   d->function = func;
                   3988:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   3989:   nlopt_set_min_objective(opt, myfunc, d);
                   3990:   nlopt_set_xtol_rel(opt, ftol);
                   3991:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   3992:     printf("nlopt failed! %d\n",creturn); 
                   3993:   }
                   3994:   else {
                   3995:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   3996:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   3997:     iter=1; /* not equal */
                   3998:   }
                   3999:   nlopt_destroy(opt);
                   4000: #endif
1.126     brouard  4001:   free_matrix(xi,1,npar,1,npar);
                   4002:   fclose(ficrespow);
1.203     brouard  4003:   printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   4004:   fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.180     brouard  4005:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  4006: 
                   4007: }
                   4008: 
                   4009: /**** Computes Hessian and covariance matrix ***/
1.203     brouard  4010: void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
1.126     brouard  4011: {
                   4012:   double  **a,**y,*x,pd;
1.203     brouard  4013:   /* double **hess; */
1.164     brouard  4014:   int i, j;
1.126     brouard  4015:   int *indx;
                   4016: 
                   4017:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
1.203     brouard  4018:   double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
1.126     brouard  4019:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   4020:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   4021:   double gompertz(double p[]);
1.203     brouard  4022:   /* hess=matrix(1,npar,1,npar); */
1.126     brouard  4023: 
                   4024:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   4025:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   4026:   for (i=1;i<=npar;i++){
1.203     brouard  4027:     printf("%d-",i);fflush(stdout);
                   4028:     fprintf(ficlog,"%d-",i);fflush(ficlog);
1.126     brouard  4029:    
                   4030:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   4031:     
                   4032:     /*  printf(" %f ",p[i]);
                   4033:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   4034:   }
                   4035:   
                   4036:   for (i=1;i<=npar;i++) {
                   4037:     for (j=1;j<=npar;j++)  {
                   4038:       if (j>i) { 
1.203     brouard  4039:        printf(".%d-%d",i,j);fflush(stdout);
                   4040:        fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
                   4041:        hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
1.126     brouard  4042:        
                   4043:        hess[j][i]=hess[i][j];    
                   4044:        /*printf(" %lf ",hess[i][j]);*/
                   4045:       }
                   4046:     }
                   4047:   }
                   4048:   printf("\n");
                   4049:   fprintf(ficlog,"\n");
                   4050: 
                   4051:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   4052:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   4053:   
                   4054:   a=matrix(1,npar,1,npar);
                   4055:   y=matrix(1,npar,1,npar);
                   4056:   x=vector(1,npar);
                   4057:   indx=ivector(1,npar);
                   4058:   for (i=1;i<=npar;i++)
                   4059:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   4060:   ludcmp(a,npar,indx,&pd);
                   4061: 
                   4062:   for (j=1;j<=npar;j++) {
                   4063:     for (i=1;i<=npar;i++) x[i]=0;
                   4064:     x[j]=1;
                   4065:     lubksb(a,npar,indx,x);
                   4066:     for (i=1;i<=npar;i++){ 
                   4067:       matcov[i][j]=x[i];
                   4068:     }
                   4069:   }
                   4070: 
                   4071:   printf("\n#Hessian matrix#\n");
                   4072:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   4073:   for (i=1;i<=npar;i++) { 
                   4074:     for (j=1;j<=npar;j++) { 
1.203     brouard  4075:       printf("%.6e ",hess[i][j]);
                   4076:       fprintf(ficlog,"%.6e ",hess[i][j]);
1.126     brouard  4077:     }
                   4078:     printf("\n");
                   4079:     fprintf(ficlog,"\n");
                   4080:   }
                   4081: 
1.203     brouard  4082:   /* printf("\n#Covariance matrix#\n"); */
                   4083:   /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
                   4084:   /* for (i=1;i<=npar;i++) {  */
                   4085:   /*   for (j=1;j<=npar;j++) {  */
                   4086:   /*     printf("%.6e ",matcov[i][j]); */
                   4087:   /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
                   4088:   /*   } */
                   4089:   /*   printf("\n"); */
                   4090:   /*   fprintf(ficlog,"\n"); */
                   4091:   /* } */
                   4092: 
1.126     brouard  4093:   /* Recompute Inverse */
1.203     brouard  4094:   /* for (i=1;i<=npar;i++) */
                   4095:   /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
                   4096:   /* ludcmp(a,npar,indx,&pd); */
                   4097: 
                   4098:   /*  printf("\n#Hessian matrix recomputed#\n"); */
                   4099: 
                   4100:   /* for (j=1;j<=npar;j++) { */
                   4101:   /*   for (i=1;i<=npar;i++) x[i]=0; */
                   4102:   /*   x[j]=1; */
                   4103:   /*   lubksb(a,npar,indx,x); */
                   4104:   /*   for (i=1;i<=npar;i++){  */
                   4105:   /*     y[i][j]=x[i]; */
                   4106:   /*     printf("%.3e ",y[i][j]); */
                   4107:   /*     fprintf(ficlog,"%.3e ",y[i][j]); */
                   4108:   /*   } */
                   4109:   /*   printf("\n"); */
                   4110:   /*   fprintf(ficlog,"\n"); */
                   4111:   /* } */
                   4112: 
                   4113:   /* Verifying the inverse matrix */
                   4114: #ifdef DEBUGHESS
                   4115:   y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
1.126     brouard  4116: 
1.203     brouard  4117:    printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
                   4118:    fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
1.126     brouard  4119: 
                   4120:   for (j=1;j<=npar;j++) {
                   4121:     for (i=1;i<=npar;i++){ 
1.203     brouard  4122:       printf("%.2f ",y[i][j]);
                   4123:       fprintf(ficlog,"%.2f ",y[i][j]);
1.126     brouard  4124:     }
                   4125:     printf("\n");
                   4126:     fprintf(ficlog,"\n");
                   4127:   }
1.203     brouard  4128: #endif
1.126     brouard  4129: 
                   4130:   free_matrix(a,1,npar,1,npar);
                   4131:   free_matrix(y,1,npar,1,npar);
                   4132:   free_vector(x,1,npar);
                   4133:   free_ivector(indx,1,npar);
1.203     brouard  4134:   /* free_matrix(hess,1,npar,1,npar); */
1.126     brouard  4135: 
                   4136: 
                   4137: }
                   4138: 
                   4139: /*************** hessian matrix ****************/
                   4140: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
1.203     brouard  4141: { /* Around values of x, computes the function func and returns the scales delti and hessian */
1.126     brouard  4142:   int i;
                   4143:   int l=1, lmax=20;
1.203     brouard  4144:   double k1,k2, res, fx;
1.132     brouard  4145:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  4146:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   4147:   int k=0,kmax=10;
                   4148:   double l1;
                   4149: 
                   4150:   fx=func(x);
                   4151:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  4152:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  4153:     l1=pow(10,l);
                   4154:     delts=delt;
                   4155:     for(k=1 ; k <kmax; k=k+1){
                   4156:       delt = delta*(l1*k);
                   4157:       p2[theta]=x[theta] +delt;
1.145     brouard  4158:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  4159:       p2[theta]=x[theta]-delt;
                   4160:       k2=func(p2)-fx;
                   4161:       /*res= (k1-2.0*fx+k2)/delt/delt; */
1.203     brouard  4162:       res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
1.126     brouard  4163:       
1.203     brouard  4164: #ifdef DEBUGHESSII
1.126     brouard  4165:       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);
                   4166:       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);
                   4167: #endif
                   4168:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   4169:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   4170:        k=kmax;
                   4171:       }
                   4172:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  4173:        k=kmax; l=lmax*10;
1.126     brouard  4174:       }
                   4175:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   4176:        delts=delt;
                   4177:       }
1.203     brouard  4178:     } /* End loop k */
1.126     brouard  4179:   }
                   4180:   delti[theta]=delts;
                   4181:   return res; 
                   4182:   
                   4183: }
                   4184: 
1.203     brouard  4185: double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
1.126     brouard  4186: {
                   4187:   int i;
1.164     brouard  4188:   int l=1, lmax=20;
1.126     brouard  4189:   double k1,k2,k3,k4,res,fx;
1.132     brouard  4190:   double p2[MAXPARM+1];
1.203     brouard  4191:   int k, kmax=1;
                   4192:   double v1, v2, cv12, lc1, lc2;
1.208     brouard  4193: 
                   4194:   int firstime=0;
1.203     brouard  4195:   
1.126     brouard  4196:   fx=func(x);
1.203     brouard  4197:   for (k=1; k<=kmax; k=k+10) {
1.126     brouard  4198:     for (i=1;i<=npar;i++) p2[i]=x[i];
1.203     brouard  4199:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   4200:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  4201:     k1=func(p2)-fx;
                   4202:   
1.203     brouard  4203:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   4204:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  4205:     k2=func(p2)-fx;
                   4206:   
1.203     brouard  4207:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   4208:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  4209:     k3=func(p2)-fx;
                   4210:   
1.203     brouard  4211:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   4212:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  4213:     k4=func(p2)-fx;
1.203     brouard  4214:     res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */
                   4215:     if(k1*k2*k3*k4 <0.){
1.208     brouard  4216:       firstime=1;
1.203     brouard  4217:       kmax=kmax+10;
1.208     brouard  4218:     }
                   4219:     if(kmax >=10 || firstime ==1){
1.246     brouard  4220:       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);
                   4221:       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  4222:       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);
                   4223:       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);
                   4224:     }
                   4225: #ifdef DEBUGHESSIJ
                   4226:     v1=hess[thetai][thetai];
                   4227:     v2=hess[thetaj][thetaj];
                   4228:     cv12=res;
                   4229:     /* Computing eigen value of Hessian matrix */
                   4230:     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4231:     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4232:     if ((lc2 <0) || (lc1 <0) ){
                   4233:       printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   4234:       fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   4235:       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);
                   4236:       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);
                   4237:     }
1.126     brouard  4238: #endif
                   4239:   }
                   4240:   return res;
                   4241: }
                   4242: 
1.203     brouard  4243:     /* Not done yet: Was supposed to fix if not exactly at the maximum */
                   4244: /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
                   4245: /* { */
                   4246: /*   int i; */
                   4247: /*   int l=1, lmax=20; */
                   4248: /*   double k1,k2,k3,k4,res,fx; */
                   4249: /*   double p2[MAXPARM+1]; */
                   4250: /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
                   4251: /*   int k=0,kmax=10; */
                   4252: /*   double l1; */
                   4253:   
                   4254: /*   fx=func(x); */
                   4255: /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
                   4256: /*     l1=pow(10,l); */
                   4257: /*     delts=delt; */
                   4258: /*     for(k=1 ; k <kmax; k=k+1){ */
                   4259: /*       delt = delti*(l1*k); */
                   4260: /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
                   4261: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   4262: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   4263: /*       k1=func(p2)-fx; */
                   4264:       
                   4265: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   4266: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   4267: /*       k2=func(p2)-fx; */
                   4268:       
                   4269: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   4270: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   4271: /*       k3=func(p2)-fx; */
                   4272:       
                   4273: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   4274: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   4275: /*       k4=func(p2)-fx; */
                   4276: /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
                   4277: /* #ifdef DEBUGHESSIJ */
                   4278: /*       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); */
                   4279: /*       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); */
                   4280: /* #endif */
                   4281: /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
                   4282: /*     k=kmax; */
                   4283: /*       } */
                   4284: /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
                   4285: /*     k=kmax; l=lmax*10; */
                   4286: /*       } */
                   4287: /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
                   4288: /*     delts=delt; */
                   4289: /*       } */
                   4290: /*     } /\* End loop k *\/ */
                   4291: /*   } */
                   4292: /*   delti[theta]=delts; */
                   4293: /*   return res;  */
                   4294: /* } */
                   4295: 
                   4296: 
1.126     brouard  4297: /************** Inverse of matrix **************/
                   4298: void ludcmp(double **a, int n, int *indx, double *d) 
                   4299: { 
                   4300:   int i,imax,j,k; 
                   4301:   double big,dum,sum,temp; 
                   4302:   double *vv; 
                   4303:  
                   4304:   vv=vector(1,n); 
                   4305:   *d=1.0; 
                   4306:   for (i=1;i<=n;i++) { 
                   4307:     big=0.0; 
                   4308:     for (j=1;j<=n;j++) 
                   4309:       if ((temp=fabs(a[i][j])) > big) big=temp; 
1.256     brouard  4310:     if (big == 0.0){
                   4311:       printf(" Singular Hessian matrix at row %d:\n",i);
                   4312:       for (j=1;j<=n;j++) {
                   4313:        printf(" a[%d][%d]=%f,",i,j,a[i][j]);
                   4314:        fprintf(ficlog," a[%d][%d]=%f,",i,j,a[i][j]);
                   4315:       }
                   4316:       fflush(ficlog);
                   4317:       fclose(ficlog);
                   4318:       nrerror("Singular matrix in routine ludcmp"); 
                   4319:     }
1.126     brouard  4320:     vv[i]=1.0/big; 
                   4321:   } 
                   4322:   for (j=1;j<=n;j++) { 
                   4323:     for (i=1;i<j;i++) { 
                   4324:       sum=a[i][j]; 
                   4325:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   4326:       a[i][j]=sum; 
                   4327:     } 
                   4328:     big=0.0; 
                   4329:     for (i=j;i<=n;i++) { 
                   4330:       sum=a[i][j]; 
                   4331:       for (k=1;k<j;k++) 
                   4332:        sum -= a[i][k]*a[k][j]; 
                   4333:       a[i][j]=sum; 
                   4334:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   4335:        big=dum; 
                   4336:        imax=i; 
                   4337:       } 
                   4338:     } 
                   4339:     if (j != imax) { 
                   4340:       for (k=1;k<=n;k++) { 
                   4341:        dum=a[imax][k]; 
                   4342:        a[imax][k]=a[j][k]; 
                   4343:        a[j][k]=dum; 
                   4344:       } 
                   4345:       *d = -(*d); 
                   4346:       vv[imax]=vv[j]; 
                   4347:     } 
                   4348:     indx[j]=imax; 
                   4349:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   4350:     if (j != n) { 
                   4351:       dum=1.0/(a[j][j]); 
                   4352:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   4353:     } 
                   4354:   } 
                   4355:   free_vector(vv,1,n);  /* Doesn't work */
                   4356: ;
                   4357: } 
                   4358: 
                   4359: void lubksb(double **a, int n, int *indx, double b[]) 
                   4360: { 
                   4361:   int i,ii=0,ip,j; 
                   4362:   double sum; 
                   4363:  
                   4364:   for (i=1;i<=n;i++) { 
                   4365:     ip=indx[i]; 
                   4366:     sum=b[ip]; 
                   4367:     b[ip]=b[i]; 
                   4368:     if (ii) 
                   4369:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   4370:     else if (sum) ii=i; 
                   4371:     b[i]=sum; 
                   4372:   } 
                   4373:   for (i=n;i>=1;i--) { 
                   4374:     sum=b[i]; 
                   4375:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   4376:     b[i]=sum/a[i][i]; 
                   4377:   } 
                   4378: } 
                   4379: 
                   4380: void pstamp(FILE *fichier)
                   4381: {
1.196     brouard  4382:   fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
1.126     brouard  4383: }
                   4384: 
1.253     brouard  4385: 
                   4386: 
1.126     brouard  4387: /************ Frequencies ********************/
1.251     brouard  4388: void  freqsummary(char fileres[], double p[], double pstart[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, \
1.226     brouard  4389:                  int *Tvaraff, int *invalidvarcomb, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[], \
                   4390:                  int firstpass,  int lastpass, int stepm, int weightopt, char model[])
1.250     brouard  4391: {  /* Some frequencies as well as proposing some starting values */
1.226     brouard  4392:   
1.265     brouard  4393:   int i, m, jk, j1, bool, z1,j, nj, nl, k, iv, jj=0, s1=1, s2=1;
1.226     brouard  4394:   int iind=0, iage=0;
                   4395:   int mi; /* Effective wave */
                   4396:   int first;
                   4397:   double ***freq; /* Frequencies */
1.268     brouard  4398:   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 */
                   4399:   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  4400:   double *meanq, *stdq, *idq;
1.226     brouard  4401:   double **meanqt;
                   4402:   double *pp, **prop, *posprop, *pospropt;
                   4403:   double pos=0., posproptt=0., pospropta=0., k2, dateintsum=0,k2cpt=0;
                   4404:   char fileresp[FILENAMELENGTH], fileresphtm[FILENAMELENGTH], fileresphtmfr[FILENAMELENGTH];
                   4405:   double agebegin, ageend;
                   4406:     
                   4407:   pp=vector(1,nlstate);
1.251     brouard  4408:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+4+AGEMARGE); 
1.226     brouard  4409:   posprop=vector(1,nlstate); /* Counting the number of transition starting from a live state per age */ 
                   4410:   pospropt=vector(1,nlstate); /* Counting the number of transition starting from a live state */ 
                   4411:   /* prop=matrix(1,nlstate,iagemin,iagemax+3); */
                   4412:   meanq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.284     brouard  4413:   stdq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.283     brouard  4414:   idq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.226     brouard  4415:   meanqt=matrix(1,lastpass,1,nqtveff);
                   4416:   strcpy(fileresp,"P_");
                   4417:   strcat(fileresp,fileresu);
                   4418:   /*strcat(fileresphtm,fileresu);*/
                   4419:   if((ficresp=fopen(fileresp,"w"))==NULL) {
                   4420:     printf("Problem with prevalence resultfile: %s\n", fileresp);
                   4421:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
                   4422:     exit(0);
                   4423:   }
1.240     brouard  4424:   
1.226     brouard  4425:   strcpy(fileresphtm,subdirfext(optionfilefiname,"PHTM_",".htm"));
                   4426:   if((ficresphtm=fopen(fileresphtm,"w"))==NULL) {
                   4427:     printf("Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   4428:     fprintf(ficlog,"Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   4429:     fflush(ficlog);
                   4430:     exit(70); 
                   4431:   }
                   4432:   else{
                   4433:     fprintf(ficresphtm,"<html><head>\n<title>IMaCh PHTM_ %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
1.240     brouard  4434: <hr size=\"2\" color=\"#EC5E5E\"> \n                                   \
1.214     brouard  4435: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  4436:            fileresphtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   4437:   }
1.237     brouard  4438:   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  4439:   
1.226     brouard  4440:   strcpy(fileresphtmfr,subdirfext(optionfilefiname,"PHTMFR_",".htm"));
                   4441:   if((ficresphtmfr=fopen(fileresphtmfr,"w"))==NULL) {
                   4442:     printf("Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   4443:     fprintf(ficlog,"Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   4444:     fflush(ficlog);
                   4445:     exit(70); 
1.240     brouard  4446:   } else{
1.226     brouard  4447:     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  4448: <hr size=\"2\" color=\"#EC5E5E\"> \n                                   \
1.214     brouard  4449: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  4450:            fileresphtmfr,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   4451:   }
1.240     brouard  4452:   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);
                   4453:   
1.253     brouard  4454:   y= vector(iagemin-AGEMARGE,iagemax+4+AGEMARGE);
                   4455:   x= vector(iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.251     brouard  4456:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.226     brouard  4457:   j1=0;
1.126     brouard  4458:   
1.227     brouard  4459:   /* j=ncoveff;  /\* Only fixed dummy covariates *\/ */
                   4460:   j=cptcoveff;  /* Only dummy covariates of the model */
1.226     brouard  4461:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.240     brouard  4462:   
                   4463:   
1.226     brouard  4464:   /* Detects if a combination j1 is empty: for a multinomial variable like 3 education levels:
                   4465:      reference=low_education V1=0,V2=0
                   4466:      med_educ                V1=1 V2=0, 
                   4467:      high_educ               V1=0 V2=1
                   4468:      Then V1=1 and V2=1 is a noisy combination that we want to exclude for the list 2**cptcoveff 
                   4469:   */
1.249     brouard  4470:   dateintsum=0;
                   4471:   k2cpt=0;
                   4472: 
1.253     brouard  4473:   if(cptcoveff == 0 )
1.265     brouard  4474:     nl=1;  /* Constant and age model only */
1.253     brouard  4475:   else
                   4476:     nl=2;
1.265     brouard  4477: 
                   4478:   /* if a constant only model, one pass to compute frequency tables and to write it on ficresp */
                   4479:   /* Loop on nj=1 or 2 if dummy covariates j!=0
                   4480:    *   Loop on j1(1 to 2**cptcoveff) covariate combination
                   4481:    *     freq[s1][s2][iage] =0.
                   4482:    *     Loop on iind
                   4483:    *       ++freq[s1][s2][iage] weighted
                   4484:    *     end iind
                   4485:    *     if covariate and j!0
                   4486:    *       headers Variable on one line
                   4487:    *     endif cov j!=0
                   4488:    *     header of frequency table by age
                   4489:    *     Loop on age
                   4490:    *       pp[s1]+=freq[s1][s2][iage] weighted
                   4491:    *       pos+=freq[s1][s2][iage] weighted
                   4492:    *       Loop on s1 initial state
                   4493:    *         fprintf(ficresp
                   4494:    *       end s1
                   4495:    *     end age
                   4496:    *     if j!=0 computes starting values
                   4497:    *     end compute starting values
                   4498:    *   end j1
                   4499:    * end nl 
                   4500:    */
1.253     brouard  4501:   for (nj = 1; nj <= nl; nj++){   /* nj= 1 constant model, nl number of loops. */
                   4502:     if(nj==1)
                   4503:       j=0;  /* First pass for the constant */
1.265     brouard  4504:     else{
1.253     brouard  4505:       j=cptcoveff; /* Other passes for the covariate values */
1.265     brouard  4506:     }
1.251     brouard  4507:     first=1;
1.265     brouard  4508:     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  4509:       posproptt=0.;
                   4510:       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
                   4511:        scanf("%d", i);*/
                   4512:       for (i=-5; i<=nlstate+ndeath; i++)  
1.265     brouard  4513:        for (s2=-5; s2<=nlstate+ndeath; s2++)  
1.251     brouard  4514:          for(m=iagemin; m <= iagemax+3; m++)
1.265     brouard  4515:            freq[i][s2][m]=0;
1.251     brouard  4516:       
                   4517:       for (i=1; i<=nlstate; i++)  {
1.240     brouard  4518:        for(m=iagemin; m <= iagemax+3; m++)
1.251     brouard  4519:          prop[i][m]=0;
                   4520:        posprop[i]=0;
                   4521:        pospropt[i]=0;
                   4522:       }
1.283     brouard  4523:       for (z1=1; z1<= nqfveff; z1++) { /* zeroing for each combination j1 as well as for the total */
1.284     brouard  4524:         idq[z1]=0.;
                   4525:         meanq[z1]=0.;
                   4526:         stdq[z1]=0.;
1.283     brouard  4527:       }
                   4528:       /* for (z1=1; z1<= nqtveff; z1++) { */
1.251     brouard  4529:       /*   for(m=1;m<=lastpass;m++){ */
1.283     brouard  4530:       /*         meanqt[m][z1]=0.; */
                   4531:       /*       } */
                   4532:       /* }       */
1.251     brouard  4533:       /* dateintsum=0; */
                   4534:       /* k2cpt=0; */
                   4535:       
1.265     brouard  4536:       /* For that combination of covariates j1 (V4=1 V3=0 for example), we count and print the frequencies in one pass */
1.251     brouard  4537:       for (iind=1; iind<=imx; iind++) { /* For each individual iind */
                   4538:        bool=1;
                   4539:        if(j !=0){
                   4540:          if(anyvaryingduminmodel==0){ /* If All fixed covariates */
                   4541:            if (cptcoveff >0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
                   4542:              for (z1=1; z1<=cptcoveff; z1++) { /* loops on covariates in the model */
                   4543:                /* if(Tvaraff[z1] ==-20){ */
                   4544:                /*       /\* sumnew+=cotvar[mw[mi][iind]][z1][iind]; *\/ */
                   4545:                /* }else  if(Tvaraff[z1] ==-10){ */
                   4546:                /*       /\* sumnew+=coqvar[z1][iind]; *\/ */
                   4547:                /* }else  */
                   4548:                if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){ /* for combination j1 of covariates */
1.265     brouard  4549:                  /* Tests if the value of the covariate z1 for this individual iind responded to combination j1 (V4=1 V3=0) */
1.251     brouard  4550:                  bool=0; /* bool should be equal to 1 to be selected, one covariate value failed */
                   4551:                  /* 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", 
                   4552:                     bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
                   4553:                     j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
                   4554:                  /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
                   4555:                } /* Onlyf fixed */
                   4556:              } /* end z1 */
                   4557:            } /* cptcovn > 0 */
                   4558:          } /* end any */
                   4559:        }/* end j==0 */
1.265     brouard  4560:        if (bool==1){ /* We selected an individual iind satisfying combination j1 (V4=1 V3=0) or all fixed covariates */
1.251     brouard  4561:          /* for(m=firstpass; m<=lastpass; m++){ */
1.284     brouard  4562:          for(mi=1; mi<wav[iind];mi++){ /* For each wave */
1.251     brouard  4563:            m=mw[mi][iind];
                   4564:            if(j!=0){
                   4565:              if(anyvaryingduminmodel==1){ /* Some are varying covariates */
                   4566:                for (z1=1; z1<=cptcoveff; z1++) {
                   4567:                  if( Fixed[Tmodelind[z1]]==1){
                   4568:                    iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   4569:                    if (cotvar[m][iv][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality. If covariate's 
                   4570:                                                                                      value is -1, we don't select. It differs from the 
                   4571:                                                                                      constant and age model which counts them. */
                   4572:                      bool=0; /* not selected */
                   4573:                  }else if( Fixed[Tmodelind[z1]]== 0) { /* fixed */
                   4574:                    if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   4575:                      bool=0;
                   4576:                    }
                   4577:                  }
                   4578:                }
                   4579:              }/* Some are varying covariates, we tried to speed up if all fixed covariates in the model, avoiding waves loop  */
                   4580:            } /* end j==0 */
                   4581:            /* bool =0 we keep that guy which corresponds to the combination of dummy values */
1.284     brouard  4582:            if(bool==1){ /*Selected */
1.251     brouard  4583:              /* dh[m][iind] or dh[mw[mi][iind]][iind] is the delay between two effective (mi) waves m=mw[mi][iind]
                   4584:                 and mw[mi+1][iind]. dh depends on stepm. */
                   4585:              agebegin=agev[m][iind]; /* Age at beginning of wave before transition*/
                   4586:              ageend=agev[m][iind]+(dh[m][iind])*stepm/YEARM; /* Age at end of wave and transition */
                   4587:              if(m >=firstpass && m <=lastpass){
                   4588:                k2=anint[m][iind]+(mint[m][iind]/12.);
                   4589:                /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   4590:                if(agev[m][iind]==0) agev[m][iind]=iagemax+1;  /* All ages equal to 0 are in iagemax+1 */
                   4591:                if(agev[m][iind]==1) agev[m][iind]=iagemax+2;  /* All ages equal to 1 are in iagemax+2 */
                   4592:                if (s[m][iind]>0 && s[m][iind]<=nlstate)  /* If status at wave m is known and a live state */
                   4593:                  prop[s[m][iind]][(int)agev[m][iind]] += weight[iind];  /* At age of beginning of transition, where status is known */
                   4594:                if (m<lastpass) {
                   4595:                  /* if(s[m][iind]==4 && s[m+1][iind]==4) */
                   4596:                  /*   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]); */
                   4597:                  if(s[m][iind]==-1)
                   4598:                    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.));
                   4599:                  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  4600:                  for (z1=1; z1<= nqfveff; z1++) { /* Quantitative variables, calculating mean */
                   4601:                    idq[z1]=idq[z1]+weight[iind];
                   4602:                    meanq[z1]+=covar[ncovcol+z1][iind]*weight[iind];  /* Computes mean of quantitative with selected filter */
                   4603:                    stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]*weight[iind]; /* *weight[iind];*/  /* Computes mean of quantitative with selected filter */
                   4604:                  }
1.251     brouard  4605:                  /* if((int)agev[m][iind] == 55) */
                   4606:                  /*   printf("j=%d, j1=%d Age %d, iind=%d, num=%09ld m=%d\n",j,j1,(int)agev[m][iind],iind, num[iind],m); */
                   4607:                  /* freq[s[m][iind]][s[m+1][iind]][(int)((agebegin+ageend)/2.)] += weight[iind]; */
                   4608:                  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  4609:                }
1.251     brouard  4610:              } /* end if between passes */  
                   4611:              if ((agev[m][iind]>1) && (agev[m][iind]< (iagemax+3)) && (anint[m][iind]!=9999) && (mint[m][iind]!=99) && (j==0)) {
                   4612:                dateintsum=dateintsum+k2; /* on all covariates ?*/
                   4613:                k2cpt++;
                   4614:                /* printf("iind=%ld dateintmean = %lf dateintsum=%lf k2cpt=%lf k2=%lf\n",iind, dateintsum/k2cpt, dateintsum,k2cpt, k2); */
1.234     brouard  4615:              }
1.251     brouard  4616:            }else{
                   4617:              bool=1;
                   4618:            }/* end bool 2 */
                   4619:          } /* end m */
1.284     brouard  4620:          /* for (z1=1; z1<= nqfveff; z1++) { /\* Quantitative variables, calculating mean *\/ */
                   4621:          /*   idq[z1]=idq[z1]+weight[iind]; */
                   4622:          /*   meanq[z1]+=covar[ncovcol+z1][iind]*weight[iind];  /\* Computes mean of quantitative with selected filter *\/ */
                   4623:          /*   stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]*weight[iind]; /\* *weight[iind];*\/  /\* Computes mean of quantitative with selected filter *\/ */
                   4624:          /* } */
1.251     brouard  4625:        } /* end bool */
                   4626:       } /* end iind = 1 to imx */
                   4627:       /* prop[s][age] is feeded for any initial and valid live state as well as
                   4628:         freq[s1][s2][age] at single age of beginning the transition, for a combination j1 */
                   4629:       
                   4630:       
                   4631:       /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
1.265     brouard  4632:       if(cptcoveff==0 && nj==1) /* no covariate and first pass */
                   4633:         pstamp(ficresp);
1.251     brouard  4634:       if  (cptcoveff>0 && j!=0){
1.265     brouard  4635:         pstamp(ficresp);
1.251     brouard  4636:        printf( "\n#********** Variable "); 
                   4637:        fprintf(ficresp, "\n#********** Variable "); 
                   4638:        fprintf(ficresphtm, "\n<br/><br/><h3>********** Variable "); 
                   4639:        fprintf(ficresphtmfr, "\n<br/><br/><h3>********** Variable "); 
                   4640:        fprintf(ficlog, "\n#********** Variable "); 
                   4641:        for (z1=1; z1<=cptcoveff; z1++){
                   4642:          if(!FixedV[Tvaraff[z1]]){
                   4643:            printf( "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4644:            fprintf(ficresp, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4645:            fprintf(ficresphtm, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4646:            fprintf(ficresphtmfr, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4647:            fprintf(ficlog, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.250     brouard  4648:          }else{
1.251     brouard  4649:            printf( "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4650:            fprintf(ficresp, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4651:            fprintf(ficresphtm, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4652:            fprintf(ficresphtmfr, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4653:            fprintf(ficlog, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4654:          }
                   4655:        }
                   4656:        printf( "**********\n#");
                   4657:        fprintf(ficresp, "**********\n#");
                   4658:        fprintf(ficresphtm, "**********</h3>\n");
                   4659:        fprintf(ficresphtmfr, "**********</h3>\n");
                   4660:        fprintf(ficlog, "**********\n");
                   4661:       }
1.284     brouard  4662:       /*
                   4663:        Printing means of quantitative variables if any
                   4664:       */
                   4665:       for (z1=1; z1<= nqfveff; z1++) {
1.285     brouard  4666:        fprintf(ficlog,"Mean of fixed quantitative variable V%d on %.0f individuals sum=%f", ncovcol+z1, idq[z1], meanq[z1]);
1.284     brouard  4667:        fprintf(ficlog,", mean=%.3g\n",meanq[z1]/idq[z1]);
                   4668:        if(weightopt==1){
                   4669:          printf(" Weighted mean and standard deviation of");
                   4670:          fprintf(ficlog," Weighted mean and standard deviation of");
                   4671:          fprintf(ficresphtmfr," Weighted mean and standard deviation of");
                   4672:        }
1.285     brouard  4673:        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]));
                   4674:        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]));
                   4675:        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  4676:       }
                   4677:       /* for (z1=1; z1<= nqtveff; z1++) { */
                   4678:       /*       for(m=1;m<=lastpass;m++){ */
                   4679:       /*         fprintf(ficresphtmfr,"V quantitative id %d, pass id=%d, mean=%f<p>\n", z1, m, meanqt[m][z1]); */
                   4680:       /*   } */
                   4681:       /* } */
1.283     brouard  4682: 
1.251     brouard  4683:       fprintf(ficresphtm,"<table style=\"text-align:center; border: 1px solid\">");
1.265     brouard  4684:       if((cptcoveff==0 && nj==1)|| nj==2 ) /* no covariate and first pass */
                   4685:         fprintf(ficresp, " Age");
                   4686:       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  4687:       for(i=1; i<=nlstate;i++) {
1.265     brouard  4688:        if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp," Prev(%d)  N(%d)  N  ",i,i);
1.251     brouard  4689:        fprintf(ficresphtm, "<th>Age</th><th>Prev(%d)</th><th>N(%d)</th><th>N</th>",i,i);
                   4690:       }
1.265     brouard  4691:       if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp, "\n");
1.251     brouard  4692:       fprintf(ficresphtm, "\n");
                   4693:       
                   4694:       /* Header of frequency table by age */
                   4695:       fprintf(ficresphtmfr,"<table style=\"text-align:center; border: 1px solid\">");
                   4696:       fprintf(ficresphtmfr,"<th>Age</th> ");
1.265     brouard  4697:       for(s2=-1; s2 <=nlstate+ndeath; s2++){
1.251     brouard  4698:        for(m=-1; m <=nlstate+ndeath; m++){
1.265     brouard  4699:          if(s2!=0 && m!=0)
                   4700:            fprintf(ficresphtmfr,"<th>%d%d</th> ",s2,m);
1.240     brouard  4701:        }
1.226     brouard  4702:       }
1.251     brouard  4703:       fprintf(ficresphtmfr, "\n");
                   4704:     
                   4705:       /* For each age */
                   4706:       for(iage=iagemin; iage <= iagemax+3; iage++){
                   4707:        fprintf(ficresphtm,"<tr>");
                   4708:        if(iage==iagemax+1){
                   4709:          fprintf(ficlog,"1");
                   4710:          fprintf(ficresphtmfr,"<tr><th>0</th> ");
                   4711:        }else if(iage==iagemax+2){
                   4712:          fprintf(ficlog,"0");
                   4713:          fprintf(ficresphtmfr,"<tr><th>Unknown</th> ");
                   4714:        }else if(iage==iagemax+3){
                   4715:          fprintf(ficlog,"Total");
                   4716:          fprintf(ficresphtmfr,"<tr><th>Total</th> ");
                   4717:        }else{
1.240     brouard  4718:          if(first==1){
1.251     brouard  4719:            first=0;
                   4720:            printf("See log file for details...\n");
                   4721:          }
                   4722:          fprintf(ficresphtmfr,"<tr><th>%d</th> ",iage);
                   4723:          fprintf(ficlog,"Age %d", iage);
                   4724:        }
1.265     brouard  4725:        for(s1=1; s1 <=nlstate ; s1++){
                   4726:          for(m=-1, pp[s1]=0; m <=nlstate+ndeath ; m++)
                   4727:            pp[s1] += freq[s1][m][iage]; 
1.251     brouard  4728:        }
1.265     brouard  4729:        for(s1=1; s1 <=nlstate ; s1++){
1.251     brouard  4730:          for(m=-1, pos=0; m <=0 ; m++)
1.265     brouard  4731:            pos += freq[s1][m][iage];
                   4732:          if(pp[s1]>=1.e-10){
1.251     brouard  4733:            if(first==1){
1.265     brouard  4734:              printf(" %d.=%.0f loss[%d]=%.1f%%",s1,pp[s1],s1,100*pos/pp[s1]);
1.251     brouard  4735:            }
1.265     brouard  4736:            fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",s1,pp[s1],s1,100*pos/pp[s1]);
1.251     brouard  4737:          }else{
                   4738:            if(first==1)
1.265     brouard  4739:              printf(" %d.=%.0f loss[%d]=NaNQ%%",s1,pp[s1],s1);
                   4740:            fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",s1,pp[s1],s1);
1.240     brouard  4741:          }
                   4742:        }
                   4743:       
1.265     brouard  4744:        for(s1=1; s1 <=nlstate ; s1++){ 
                   4745:          /* posprop[s1]=0; */
                   4746:          for(m=0, pp[s1]=0; m <=nlstate+ndeath; m++)/* Summing on all ages */
                   4747:            pp[s1] += freq[s1][m][iage];
                   4748:        }       /* pp[s1] is the total number of transitions starting from state s1 and any ending status until this age */
                   4749:       
                   4750:        for(s1=1,pos=0, pospropta=0.; s1 <=nlstate ; s1++){
                   4751:          pos += pp[s1]; /* pos is the total number of transitions until this age */
                   4752:          posprop[s1] += prop[s1][iage]; /* prop is the number of transitions from a live state
                   4753:                                            from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4754:          pospropta += prop[s1][iage]; /* prop is the number of transitions from a live state
                   4755:                                          from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4756:        }
                   4757:        
                   4758:        /* Writing ficresp */
                   4759:        if(cptcoveff==0 && nj==1){ /* no covariate and first pass */
                   4760:           if( iage <= iagemax){
                   4761:            fprintf(ficresp," %d",iage);
                   4762:           }
                   4763:         }else if( nj==2){
                   4764:           if( iage <= iagemax){
                   4765:            fprintf(ficresp," %d",iage);
                   4766:             for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, " %d %d",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4767:           }
1.240     brouard  4768:        }
1.265     brouard  4769:        for(s1=1; s1 <=nlstate ; s1++){
1.240     brouard  4770:          if(pos>=1.e-5){
1.251     brouard  4771:            if(first==1)
1.265     brouard  4772:              printf(" %d.=%.0f prev[%d]=%.1f%%",s1,pp[s1],s1,100*pp[s1]/pos);
                   4773:            fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",s1,pp[s1],s1,100*pp[s1]/pos);
1.251     brouard  4774:          }else{
                   4775:            if(first==1)
1.265     brouard  4776:              printf(" %d.=%.0f prev[%d]=NaNQ%%",s1,pp[s1],s1);
                   4777:            fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",s1,pp[s1],s1);
1.251     brouard  4778:          }
                   4779:          if( iage <= iagemax){
                   4780:            if(pos>=1.e-5){
1.265     brouard  4781:              if(cptcoveff==0 && nj==1){ /* no covariate and first pass */
                   4782:                fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   4783:               }else if( nj==2){
                   4784:                fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   4785:               }
                   4786:              fprintf(ficresphtm,"<th>%d</th><td>%.5f</td><td>%.0f</td><td>%.0f</td>",iage,prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                   4787:              /*probs[iage][s1][j1]= pp[s1]/pos;*/
                   4788:              /*printf("\niage=%d s1=%d j1=%d %.5f %.0f %.0f %f",iage,s1,j1,pp[s1]/pos, pp[s1],pos,probs[iage][s1][j1]);*/
                   4789:            } else{
                   4790:              if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp," NaNq %.0f %.0f",prop[s1][iage],pospropta);
                   4791:              fprintf(ficresphtm,"<th>%d</th><td>NaNq</td><td>%.0f</td><td>%.0f</td>",iage, prop[s1][iage],pospropta);
1.251     brouard  4792:            }
1.240     brouard  4793:          }
1.265     brouard  4794:          pospropt[s1] +=posprop[s1];
                   4795:        } /* end loop s1 */
1.251     brouard  4796:        /* pospropt=0.; */
1.265     brouard  4797:        for(s1=-1; s1 <=nlstate+ndeath; s1++){
1.251     brouard  4798:          for(m=-1; m <=nlstate+ndeath; m++){
1.265     brouard  4799:            if(freq[s1][m][iage] !=0 ) { /* minimizing output */
1.251     brouard  4800:              if(first==1){
1.265     brouard  4801:                printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]);
1.251     brouard  4802:              }
1.265     brouard  4803:              /* printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]); */
                   4804:              fprintf(ficlog," %d%d=%.0f",s1,m,freq[s1][m][iage]);
1.251     brouard  4805:            }
1.265     brouard  4806:            if(s1!=0 && m!=0)
                   4807:              fprintf(ficresphtmfr,"<td>%.0f</td> ",freq[s1][m][iage]);
1.240     brouard  4808:          }
1.265     brouard  4809:        } /* end loop s1 */
1.251     brouard  4810:        posproptt=0.; 
1.265     brouard  4811:        for(s1=1; s1 <=nlstate; s1++){
                   4812:          posproptt += pospropt[s1];
1.251     brouard  4813:        }
                   4814:        fprintf(ficresphtmfr,"</tr>\n ");
1.265     brouard  4815:        fprintf(ficresphtm,"</tr>\n");
                   4816:        if((cptcoveff==0 && nj==1)|| nj==2 ) {
                   4817:          if(iage <= iagemax)
                   4818:            fprintf(ficresp,"\n");
1.240     brouard  4819:        }
1.251     brouard  4820:        if(first==1)
                   4821:          printf("Others in log...\n");
                   4822:        fprintf(ficlog,"\n");
                   4823:       } /* end loop age iage */
1.265     brouard  4824:       
1.251     brouard  4825:       fprintf(ficresphtm,"<tr><th>Tot</th>");
1.265     brouard  4826:       for(s1=1; s1 <=nlstate ; s1++){
1.251     brouard  4827:        if(posproptt < 1.e-5){
1.265     brouard  4828:          fprintf(ficresphtm,"<td>Nanq</td><td>%.0f</td><td>%.0f</td>",pospropt[s1],posproptt); 
1.251     brouard  4829:        }else{
1.265     brouard  4830:          fprintf(ficresphtm,"<td>%.5f</td><td>%.0f</td><td>%.0f</td>",pospropt[s1]/posproptt,pospropt[s1],posproptt);  
1.240     brouard  4831:        }
1.226     brouard  4832:       }
1.251     brouard  4833:       fprintf(ficresphtm,"</tr>\n");
                   4834:       fprintf(ficresphtm,"</table>\n");
                   4835:       fprintf(ficresphtmfr,"</table>\n");
1.226     brouard  4836:       if(posproptt < 1.e-5){
1.251     brouard  4837:        fprintf(ficresphtm,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
                   4838:        fprintf(ficresphtmfr,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
1.260     brouard  4839:        fprintf(ficlog,"#  This combination (%d) is not valid and no result will be produced\n",j1);
                   4840:        printf("#  This combination (%d) is not valid and no result will be produced\n",j1);
1.251     brouard  4841:        invalidvarcomb[j1]=1;
1.226     brouard  4842:       }else{
1.251     brouard  4843:        fprintf(ficresphtm,"\n <p> This combination (%d) is valid and result will be produced.</p>",j1);
                   4844:        invalidvarcomb[j1]=0;
1.226     brouard  4845:       }
1.251     brouard  4846:       fprintf(ficresphtmfr,"</table>\n");
                   4847:       fprintf(ficlog,"\n");
                   4848:       if(j!=0){
                   4849:        printf("#Freqsummary: Starting values for combination j1=%d:\n", j1);
1.265     brouard  4850:        for(i=1,s1=1; i <=nlstate; i++){
1.251     brouard  4851:          for(k=1; k <=(nlstate+ndeath); k++){
                   4852:            if (k != i) {
1.265     brouard  4853:              for(jj=1; jj <=ncovmodel; jj++){ /* For counting s1 */
1.253     brouard  4854:                if(jj==1){  /* Constant case (in fact cste + age) */
1.251     brouard  4855:                  if(j1==1){ /* All dummy covariates to zero */
                   4856:                    freq[i][k][iagemax+4]=freq[i][k][iagemax+3]; /* Stores case 0 0 0 */
                   4857:                    freq[i][i][iagemax+4]=freq[i][i][iagemax+3]; /* Stores case 0 0 0 */
1.252     brouard  4858:                    printf("%d%d ",i,k);
                   4859:                    fprintf(ficlog,"%d%d ",i,k);
1.265     brouard  4860:                    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]));
                   4861:                    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]));
                   4862:                    pstart[s1]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]);
1.251     brouard  4863:                  }
1.253     brouard  4864:                }else if((j1==1) && (jj==2 || nagesqr==1)){ /* age or age*age parameter without covariate V4*age (to be done later) */
                   4865:                  for(iage=iagemin; iage <= iagemax+3; iage++){
                   4866:                    x[iage]= (double)iage;
                   4867:                    y[iage]= log(freq[i][k][iage]/freq[i][i][iage]);
1.265     brouard  4868:                    /* 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  4869:                  }
1.268     brouard  4870:                  /* Some are not finite, but linreg will ignore these ages */
                   4871:                  no=0;
1.253     brouard  4872:                  linreg(iagemin,iagemax,&no,x,y,&a,&b,&r, &sa, &sb ); /* y= a+b*x with standard errors */
1.265     brouard  4873:                  pstart[s1]=b;
                   4874:                  pstart[s1-1]=a;
1.252     brouard  4875:                }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 */ 
                   4876:                  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]);
                   4877:                  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  4878:                  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  4879:                  printf("%d%d ",i,k);
                   4880:                  fprintf(ficlog,"%d%d ",i,k);
1.265     brouard  4881:                  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  4882:                }else{ /* Other cases, like quantitative fixed or varying covariates */
                   4883:                  ;
                   4884:                }
                   4885:                /* printf("%12.7f )", param[i][jj][k]); */
                   4886:                /* fprintf(ficlog,"%12.7f )", param[i][jj][k]); */
1.265     brouard  4887:                s1++; 
1.251     brouard  4888:              } /* end jj */
                   4889:            } /* end k!= i */
                   4890:          } /* end k */
1.265     brouard  4891:        } /* end i, s1 */
1.251     brouard  4892:       } /* end j !=0 */
                   4893:     } /* end selected combination of covariate j1 */
                   4894:     if(j==0){ /* We can estimate starting values from the occurences in each case */
                   4895:       printf("#Freqsummary: Starting values for the constants:\n");
                   4896:       fprintf(ficlog,"\n");
1.265     brouard  4897:       for(i=1,s1=1; i <=nlstate; i++){
1.251     brouard  4898:        for(k=1; k <=(nlstate+ndeath); k++){
                   4899:          if (k != i) {
                   4900:            printf("%d%d ",i,k);
                   4901:            fprintf(ficlog,"%d%d ",i,k);
                   4902:            for(jj=1; jj <=ncovmodel; jj++){
1.265     brouard  4903:              pstart[s1]=p[s1]; /* Setting pstart to p values by default */
1.253     brouard  4904:              if(jj==1){ /* Age has to be done */
1.265     brouard  4905:                pstart[s1]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]);
                   4906:                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]));
                   4907:                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  4908:              }
                   4909:              /* printf("%12.7f )", param[i][jj][k]); */
                   4910:              /* fprintf(ficlog,"%12.7f )", param[i][jj][k]); */
1.265     brouard  4911:              s1++; 
1.250     brouard  4912:            }
1.251     brouard  4913:            printf("\n");
                   4914:            fprintf(ficlog,"\n");
1.250     brouard  4915:          }
                   4916:        }
1.284     brouard  4917:       } /* end of state i */
1.251     brouard  4918:       printf("#Freqsummary\n");
                   4919:       fprintf(ficlog,"\n");
1.265     brouard  4920:       for(s1=-1; s1 <=nlstate+ndeath; s1++){
                   4921:        for(s2=-1; s2 <=nlstate+ndeath; s2++){
                   4922:          /* param[i]|j][k]= freq[s1][s2][iagemax+3] */
                   4923:          printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]);
                   4924:          fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]);
                   4925:          /* if(freq[s1][s2][iage] !=0 ) { /\* minimizing output *\/ */
                   4926:          /*   printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); */
                   4927:          /*   fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); */
1.251     brouard  4928:          /* } */
                   4929:        }
1.265     brouard  4930:       } /* end loop s1 */
1.251     brouard  4931:       
                   4932:       printf("\n");
                   4933:       fprintf(ficlog,"\n");
                   4934:     } /* end j=0 */
1.249     brouard  4935:   } /* end j */
1.252     brouard  4936: 
1.253     brouard  4937:   if(mle == -2){  /* We want to use these values as starting values */
1.252     brouard  4938:     for(i=1, jk=1; i <=nlstate; i++){
                   4939:       for(j=1; j <=nlstate+ndeath; j++){
                   4940:        if(j!=i){
                   4941:          /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   4942:          printf("%1d%1d",i,j);
                   4943:          fprintf(ficparo,"%1d%1d",i,j);
                   4944:          for(k=1; k<=ncovmodel;k++){
                   4945:            /*    printf(" %lf",param[i][j][k]); */
                   4946:            /*    fprintf(ficparo," %lf",param[i][j][k]); */
                   4947:            p[jk]=pstart[jk];
                   4948:            printf(" %f ",pstart[jk]);
                   4949:            fprintf(ficparo," %f ",pstart[jk]);
                   4950:            jk++;
                   4951:          }
                   4952:          printf("\n");
                   4953:          fprintf(ficparo,"\n");
                   4954:        }
                   4955:       }
                   4956:     }
                   4957:   } /* end mle=-2 */
1.226     brouard  4958:   dateintmean=dateintsum/k2cpt; 
1.240     brouard  4959:   
1.226     brouard  4960:   fclose(ficresp);
                   4961:   fclose(ficresphtm);
                   4962:   fclose(ficresphtmfr);
1.283     brouard  4963:   free_vector(idq,1,nqfveff);
1.226     brouard  4964:   free_vector(meanq,1,nqfveff);
1.284     brouard  4965:   free_vector(stdq,1,nqfveff);
1.226     brouard  4966:   free_matrix(meanqt,1,lastpass,1,nqtveff);
1.253     brouard  4967:   free_vector(x, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
                   4968:   free_vector(y, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.251     brouard  4969:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.226     brouard  4970:   free_vector(pospropt,1,nlstate);
                   4971:   free_vector(posprop,1,nlstate);
1.251     brouard  4972:   free_matrix(prop,1,nlstate,iagemin-AGEMARGE, iagemax+4+AGEMARGE);
1.226     brouard  4973:   free_vector(pp,1,nlstate);
                   4974:   /* End of freqsummary */
                   4975: }
1.126     brouard  4976: 
1.268     brouard  4977: /* Simple linear regression */
                   4978: int linreg(int ifi, int ila, int *no, const double x[], const double y[], double* a, double* b, double* r, double* sa, double * sb) {
                   4979: 
                   4980:   /* y=a+bx regression */
                   4981:   double   sumx = 0.0;                        /* sum of x                      */
                   4982:   double   sumx2 = 0.0;                       /* sum of x**2                   */
                   4983:   double   sumxy = 0.0;                       /* sum of x * y                  */
                   4984:   double   sumy = 0.0;                        /* sum of y                      */
                   4985:   double   sumy2 = 0.0;                       /* sum of y**2                   */
                   4986:   double   sume2 = 0.0;                       /* sum of square or residuals */
                   4987:   double yhat;
                   4988:   
                   4989:   double denom=0;
                   4990:   int i;
                   4991:   int ne=*no;
                   4992:   
                   4993:   for ( i=ifi, ne=0;i<=ila;i++) {
                   4994:     if(!isfinite(x[i]) || !isfinite(y[i])){
                   4995:       /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */
                   4996:       continue;
                   4997:     }
                   4998:     ne=ne+1;
                   4999:     sumx  += x[i];       
                   5000:     sumx2 += x[i]*x[i];  
                   5001:     sumxy += x[i] * y[i];
                   5002:     sumy  += y[i];      
                   5003:     sumy2 += y[i]*y[i]; 
                   5004:     denom = (ne * sumx2 - sumx*sumx);
                   5005:     /* 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); */
                   5006:   } 
                   5007:   
                   5008:   denom = (ne * sumx2 - sumx*sumx);
                   5009:   if (denom == 0) {
                   5010:     // vertical, slope m is infinity
                   5011:     *b = INFINITY;
                   5012:     *a = 0;
                   5013:     if (r) *r = 0;
                   5014:     return 1;
                   5015:   }
                   5016:   
                   5017:   *b = (ne * sumxy  -  sumx * sumy) / denom;
                   5018:   *a = (sumy * sumx2  -  sumx * sumxy) / denom;
                   5019:   if (r!=NULL) {
                   5020:     *r = (sumxy - sumx * sumy / ne) /          /* compute correlation coeff     */
                   5021:       sqrt((sumx2 - sumx*sumx/ne) *
                   5022:           (sumy2 - sumy*sumy/ne));
                   5023:   }
                   5024:   *no=ne;
                   5025:   for ( i=ifi, ne=0;i<=ila;i++) {
                   5026:     if(!isfinite(x[i]) || !isfinite(y[i])){
                   5027:       /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */
                   5028:       continue;
                   5029:     }
                   5030:     ne=ne+1;
                   5031:     yhat = y[i] - *a -*b* x[i];
                   5032:     sume2  += yhat * yhat ;       
                   5033:     
                   5034:     denom = (ne * sumx2 - sumx*sumx);
                   5035:     /* 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); */
                   5036:   } 
                   5037:   *sb = sqrt(sume2/(double)(ne-2)/(sumx2 - sumx * sumx /(double)ne));
                   5038:   *sa= *sb * sqrt(sumx2/ne);
                   5039:   
                   5040:   return 0; 
                   5041: }
                   5042: 
1.126     brouard  5043: /************ Prevalence ********************/
1.227     brouard  5044: 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)
                   5045: {  
                   5046:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   5047:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   5048:      We still use firstpass and lastpass as another selection.
                   5049:   */
1.126     brouard  5050:  
1.227     brouard  5051:   int i, m, jk, j1, bool, z1,j, iv;
                   5052:   int mi; /* Effective wave */
                   5053:   int iage;
                   5054:   double agebegin, ageend;
                   5055: 
                   5056:   double **prop;
                   5057:   double posprop; 
                   5058:   double  y2; /* in fractional years */
                   5059:   int iagemin, iagemax;
                   5060:   int first; /** to stop verbosity which is redirected to log file */
                   5061: 
                   5062:   iagemin= (int) agemin;
                   5063:   iagemax= (int) agemax;
                   5064:   /*pp=vector(1,nlstate);*/
1.251     brouard  5065:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+4+AGEMARGE); 
1.227     brouard  5066:   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   5067:   j1=0;
1.222     brouard  5068:   
1.227     brouard  5069:   /*j=cptcoveff;*/
                   5070:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.222     brouard  5071:   
1.288     brouard  5072:   first=0;
1.227     brouard  5073:   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ /* For each combination of covariate */
                   5074:     for (i=1; i<=nlstate; i++)  
1.251     brouard  5075:       for(iage=iagemin-AGEMARGE; iage <= iagemax+4+AGEMARGE; iage++)
1.227     brouard  5076:        prop[i][iage]=0.0;
                   5077:     printf("Prevalence combination of varying and fixed dummies %d\n",j1);
                   5078:     /* fprintf(ficlog," V%d=%d ",Tvaraff[j1],nbcode[Tvaraff[j1]][codtabm(k,j1)]); */
                   5079:     fprintf(ficlog,"Prevalence combination of varying and fixed dummies %d\n",j1);
                   5080:     
                   5081:     for (i=1; i<=imx; i++) { /* Each individual */
                   5082:       bool=1;
                   5083:       /* for(m=firstpass; m<=lastpass; m++){/\* Other selection (we can limit to certain interviews*\/ */
                   5084:       for(mi=1; mi<wav[i];mi++){ /* For this wave too look where individual can be counted V4=0 V3=0 */
                   5085:        m=mw[mi][i];
                   5086:        /* Tmodelind[z1]=k is the position of the varying covariate in the model, but which # within 1 to ntv? */
                   5087:        /* Tvar[Tmodelind[z1]] is the n of Vn; n-ncovcol-nqv is the first time varying covariate or iv */
                   5088:        for (z1=1; z1<=cptcoveff; z1++){
                   5089:          if( Fixed[Tmodelind[z1]]==1){
                   5090:            iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   5091:            if (cotvar[m][iv][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality */
                   5092:              bool=0;
                   5093:          }else if( Fixed[Tmodelind[z1]]== 0)  /* fixed */
                   5094:            if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   5095:              bool=0;
                   5096:            }
                   5097:        }
                   5098:        if(bool==1){ /* Otherwise we skip that wave/person */
                   5099:          agebegin=agev[m][i]; /* Age at beginning of wave before transition*/
                   5100:          /* ageend=agev[m][i]+(dh[m][i])*stepm/YEARM; /\* Age at end of wave and transition *\/ */
                   5101:          if(m >=firstpass && m <=lastpass){
                   5102:            y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                   5103:            if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                   5104:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   5105:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
1.251     brouard  5106:              if((int)agev[m][i] <iagemin-AGEMARGE || (int)agev[m][i] >iagemax+4+AGEMARGE){
1.227     brouard  5107:                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); 
                   5108:                exit(1);
                   5109:              }
                   5110:              if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   5111:                /*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]]);*/
                   5112:                prop[s[m][i]][(int)agev[m][i]] += weight[i];/* At age of beginning of transition, where status is known */
                   5113:                prop[s[m][i]][iagemax+3] += weight[i]; 
                   5114:              } /* end valid statuses */ 
                   5115:            } /* end selection of dates */
                   5116:          } /* end selection of waves */
                   5117:        } /* end bool */
                   5118:       } /* end wave */
                   5119:     } /* end individual */
                   5120:     for(i=iagemin; i <= iagemax+3; i++){  
                   5121:       for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
                   5122:        posprop += prop[jk][i]; 
                   5123:       } 
                   5124:       
                   5125:       for(jk=1; jk <=nlstate ; jk++){      
                   5126:        if( i <=  iagemax){ 
                   5127:          if(posprop>=1.e-5){ 
                   5128:            probs[i][jk][j1]= prop[jk][i]/posprop;
                   5129:          } else{
1.288     brouard  5130:            if(!first){
                   5131:              first=1;
1.266     brouard  5132:              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]);
                   5133:            }else{
1.288     brouard  5134:              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  5135:            }
                   5136:          }
                   5137:        } 
                   5138:       }/* end jk */ 
                   5139:     }/* end i */ 
1.222     brouard  5140:      /*} *//* end i1 */
1.227     brouard  5141:   } /* end j1 */
1.222     brouard  5142:   
1.227     brouard  5143:   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   5144:   /*free_vector(pp,1,nlstate);*/
1.251     brouard  5145:   free_matrix(prop,1,nlstate, iagemin-AGEMARGE,iagemax+4+AGEMARGE);
1.227     brouard  5146: }  /* End of prevalence */
1.126     brouard  5147: 
                   5148: /************* Waves Concatenation ***************/
                   5149: 
                   5150: 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)
                   5151: {
                   5152:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   5153:      Death is a valid wave (if date is known).
                   5154:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   5155:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   5156:      and mw[mi+1][i]. dh depends on stepm.
1.227     brouard  5157:   */
1.126     brouard  5158: 
1.224     brouard  5159:   int i=0, mi=0, m=0, mli=0;
1.126     brouard  5160:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   5161:      double sum=0., jmean=0.;*/
1.224     brouard  5162:   int first=0, firstwo=0, firsthree=0, firstfour=0, firstfiv=0;
1.126     brouard  5163:   int j, k=0,jk, ju, jl;
                   5164:   double sum=0.;
                   5165:   first=0;
1.214     brouard  5166:   firstwo=0;
1.217     brouard  5167:   firsthree=0;
1.218     brouard  5168:   firstfour=0;
1.164     brouard  5169:   jmin=100000;
1.126     brouard  5170:   jmax=-1;
                   5171:   jmean=0.;
1.224     brouard  5172: 
                   5173: /* Treating live states */
1.214     brouard  5174:   for(i=1; i<=imx; i++){  /* For simple cases and if state is death */
1.224     brouard  5175:     mi=0;  /* First valid wave */
1.227     brouard  5176:     mli=0; /* Last valid wave */
1.126     brouard  5177:     m=firstpass;
1.214     brouard  5178:     while(s[m][i] <= nlstate){  /* a live state */
1.227     brouard  5179:       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 */
                   5180:        mli=m-1;/* mw[++mi][i]=m-1; */
                   5181:       }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 */
                   5182:        mw[++mi][i]=m;
                   5183:        mli=m;
1.224     brouard  5184:       } /* else might be a useless wave  -1 and mi is not incremented and mw[mi] not updated */
                   5185:       if(m < lastpass){ /* m < lastpass, standard case */
1.227     brouard  5186:        m++; /* mi gives the "effective" current wave, m the current wave, go to next wave by incrementing m */
1.216     brouard  5187:       }
1.227     brouard  5188:       else{ /* m >= lastpass, eventual special issue with warning */
1.224     brouard  5189: #ifdef UNKNOWNSTATUSNOTCONTRIBUTING
1.227     brouard  5190:        break;
1.224     brouard  5191: #else
1.227     brouard  5192:        if(s[m][i]==-1 && (int) andc[i] == 9999 && (int)anint[m][i] != 9999){
                   5193:          if(firsthree == 0){
1.262     brouard  5194:            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  5195:            firsthree=1;
                   5196:          }
1.262     brouard  5197:          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  5198:          mw[++mi][i]=m;
                   5199:          mli=m;
                   5200:        }
                   5201:        if(s[m][i]==-2){ /* Vital status is really unknown */
                   5202:          nbwarn++;
                   5203:          if((int)anint[m][i] == 9999){  /*  Has the vital status really been verified? */
                   5204:            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);
                   5205:            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);
                   5206:          }
                   5207:          break;
                   5208:        }
                   5209:        break;
1.224     brouard  5210: #endif
1.227     brouard  5211:       }/* End m >= lastpass */
1.126     brouard  5212:     }/* end while */
1.224     brouard  5213: 
1.227     brouard  5214:     /* 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  5215:     /* After last pass */
1.224     brouard  5216: /* Treating death states */
1.214     brouard  5217:     if (s[m][i] > nlstate){  /* In a death state */
1.227     brouard  5218:       /* if( mint[m][i]==mdc[m][i] && anint[m][i]==andc[m][i]){ /\* same date of death and date of interview *\/ */
                   5219:       /* } */
1.126     brouard  5220:       mi++;    /* Death is another wave */
                   5221:       /* if(mi==0)  never been interviewed correctly before death */
1.227     brouard  5222:       /* Only death is a correct wave */
1.126     brouard  5223:       mw[mi][i]=m;
1.257     brouard  5224:     } /* else not in a death state */
1.224     brouard  5225: #ifndef DISPATCHINGKNOWNDEATHAFTERLASTWAVE
1.257     brouard  5226:     else if ((int) andc[i] != 9999) {  /* Date of death is known */
1.218     brouard  5227:       if ((int)anint[m][i]!= 9999) { /* date of last interview is known */
1.227     brouard  5228:        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 */
                   5229:          nbwarn++;
                   5230:          if(firstfiv==0){
                   5231:            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 );
                   5232:            firstfiv=1;
                   5233:          }else{
                   5234:            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 );
                   5235:          }
                   5236:        }else{ /* Death occured afer last wave potential bias */
                   5237:          nberr++;
                   5238:          if(firstwo==0){
1.257     brouard  5239:            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  5240:            firstwo=1;
                   5241:          }
1.257     brouard  5242:          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  5243:        }
1.257     brouard  5244:       }else{ /* if date of interview is unknown */
1.227     brouard  5245:        /* death is known but not confirmed by death status at any wave */
                   5246:        if(firstfour==0){
                   5247:          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 );
                   5248:          firstfour=1;
                   5249:        }
                   5250:        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  5251:       }
1.224     brouard  5252:     } /* end if date of death is known */
                   5253: #endif
                   5254:     wav[i]=mi; /* mi should be the last effective wave (or mli) */
                   5255:     /* wav[i]=mw[mi][i]; */
1.126     brouard  5256:     if(mi==0){
                   5257:       nbwarn++;
                   5258:       if(first==0){
1.227     brouard  5259:        printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   5260:        first=1;
1.126     brouard  5261:       }
                   5262:       if(first==1){
1.227     brouard  5263:        fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
1.126     brouard  5264:       }
                   5265:     } /* end mi==0 */
                   5266:   } /* End individuals */
1.214     brouard  5267:   /* wav and mw are no more changed */
1.223     brouard  5268:        
1.214     brouard  5269:   
1.126     brouard  5270:   for(i=1; i<=imx; i++){
                   5271:     for(mi=1; mi<wav[i];mi++){
                   5272:       if (stepm <=0)
1.227     brouard  5273:        dh[mi][i]=1;
1.126     brouard  5274:       else{
1.260     brouard  5275:        if (s[mw[mi+1][i]][i] > nlstate) { /* A death, but what if date is unknown? */
1.227     brouard  5276:          if (agedc[i] < 2*AGESUP) {
                   5277:            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   5278:            if(j==0) j=1;  /* Survives at least one month after exam */
                   5279:            else if(j<0){
                   5280:              nberr++;
                   5281:              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]);
                   5282:              j=1; /* Temporary Dangerous patch */
                   5283:              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);
                   5284:              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]);
                   5285:              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);
                   5286:            }
                   5287:            k=k+1;
                   5288:            if (j >= jmax){
                   5289:              jmax=j;
                   5290:              ijmax=i;
                   5291:            }
                   5292:            if (j <= jmin){
                   5293:              jmin=j;
                   5294:              ijmin=i;
                   5295:            }
                   5296:            sum=sum+j;
                   5297:            /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   5298:            /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   5299:          }
                   5300:        }
                   5301:        else{
                   5302:          j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
1.126     brouard  5303: /*       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  5304:                                        
1.227     brouard  5305:          k=k+1;
                   5306:          if (j >= jmax) {
                   5307:            jmax=j;
                   5308:            ijmax=i;
                   5309:          }
                   5310:          else if (j <= jmin){
                   5311:            jmin=j;
                   5312:            ijmin=i;
                   5313:          }
                   5314:          /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   5315:          /*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]);*/
                   5316:          if(j<0){
                   5317:            nberr++;
                   5318:            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]);
                   5319:            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]);
                   5320:          }
                   5321:          sum=sum+j;
                   5322:        }
                   5323:        jk= j/stepm;
                   5324:        jl= j -jk*stepm;
                   5325:        ju= j -(jk+1)*stepm;
                   5326:        if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   5327:          if(jl==0){
                   5328:            dh[mi][i]=jk;
                   5329:            bh[mi][i]=0;
                   5330:          }else{ /* We want a negative bias in order to only have interpolation ie
                   5331:                  * to avoid the price of an extra matrix product in likelihood */
                   5332:            dh[mi][i]=jk+1;
                   5333:            bh[mi][i]=ju;
                   5334:          }
                   5335:        }else{
                   5336:          if(jl <= -ju){
                   5337:            dh[mi][i]=jk;
                   5338:            bh[mi][i]=jl;       /* bias is positive if real duration
                   5339:                                 * is higher than the multiple of stepm and negative otherwise.
                   5340:                                 */
                   5341:          }
                   5342:          else{
                   5343:            dh[mi][i]=jk+1;
                   5344:            bh[mi][i]=ju;
                   5345:          }
                   5346:          if(dh[mi][i]==0){
                   5347:            dh[mi][i]=1; /* At least one step */
                   5348:            bh[mi][i]=ju; /* At least one step */
                   5349:            /*  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);*/
                   5350:          }
                   5351:        } /* end if mle */
1.126     brouard  5352:       }
                   5353:     } /* end wave */
                   5354:   }
                   5355:   jmean=sum/k;
                   5356:   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  5357:   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  5358: }
1.126     brouard  5359: 
                   5360: /*********** Tricode ****************************/
1.220     brouard  5361:  void tricode(int *cptcov, int *Tvar, int **nbcode, int imx, int *Ndum)
1.242     brouard  5362:  {
                   5363:    /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   5364:    /*    Tvar[i]=atoi(stre);  find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1 
                   5365:     * Boring subroutine which should only output nbcode[Tvar[j]][k]
                   5366:     * Tvar[5] in V2+V1+V3*age+V2*V4 is 4 (V4) even it is a time varying or quantitative variable
                   5367:     * nbcode[Tvar[5]][1]= nbcode[4][1]=0, nbcode[4][2]=1 (usually);
                   5368:     */
1.130     brouard  5369: 
1.242     brouard  5370:    int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
                   5371:    int modmaxcovj=0; /* Modality max of covariates j */
                   5372:    int cptcode=0; /* Modality max of covariates j */
                   5373:    int modmincovj=0; /* Modality min of covariates j */
1.145     brouard  5374: 
                   5375: 
1.242     brouard  5376:    /* cptcoveff=0;  */
                   5377:    /* *cptcov=0; */
1.126     brouard  5378:  
1.242     brouard  5379:    for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.285     brouard  5380:    for (k=1; k <= maxncov; k++)
                   5381:      for(j=1; j<=2; j++)
                   5382:        nbcode[k][j]=0; /* Valgrind */
1.126     brouard  5383: 
1.242     brouard  5384:    /* Loop on covariates without age and products and no quantitative variable */
                   5385:    for (k=1; k<=cptcovt; k++) { /* From model V1 + V2*age + V3 + V3*V4 keeps V1 + V3 = 2 only */
                   5386:      for (j=-1; (j < maxncov); j++) Ndum[j]=0;
                   5387:      if(Dummy[k]==0 && Typevar[k] !=1){ /* Dummy covariate and not age product */ 
                   5388:        switch(Fixed[k]) {
                   5389:        case 0: /* Testing on fixed dummy covariate, simple or product of fixed */
                   5390:         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*/
                   5391:           ij=(int)(covar[Tvar[k]][i]);
                   5392:           /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                   5393:            * If product of Vn*Vm, still boolean *:
                   5394:            * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                   5395:            * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
                   5396:           /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
                   5397:              modality of the nth covariate of individual i. */
                   5398:           if (ij > modmaxcovj)
                   5399:             modmaxcovj=ij; 
                   5400:           else if (ij < modmincovj) 
                   5401:             modmincovj=ij; 
1.287     brouard  5402:           if (ij <0 || ij >1 ){
                   5403:             printf("Information, IMaCh doesn't treat covariate with missing values (-1), individual %d will be skipped.\n",i);
                   5404:             fprintf(ficlog,"Information, currently IMaCh doesn't treat covariate with missing values (-1), individual %d will be skipped.\n",i);
                   5405:           }
                   5406:           if ((ij < -1) || (ij > NCOVMAX)){
1.242     brouard  5407:             printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
                   5408:             exit(1);
                   5409:           }else
                   5410:             Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
                   5411:           /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
                   5412:           /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
                   5413:           /* getting the maximum value of the modality of the covariate
                   5414:              (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
                   5415:              female ies 1, then modmaxcovj=1.
                   5416:           */
                   5417:         } /* end for loop on individuals i */
                   5418:         printf(" Minimal and maximal values of %d th (fixed) covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   5419:         fprintf(ficlog," Minimal and maximal values of %d th (fixed) covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   5420:         cptcode=modmaxcovj;
                   5421:         /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
                   5422:         /*for (i=0; i<=cptcode; i++) {*/
                   5423:         for (j=modmincovj;  j<=modmaxcovj; j++) { /* j=-1 ? 0 and 1*//* For each value j of the modality of model-cov k */
                   5424:           printf("Frequencies of (fixed) covariate %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   5425:           fprintf(ficlog, "Frequencies of (fixed) covariate %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   5426:           if( Ndum[j] != 0 ){ /* Counts if nobody answered modality j ie empty modality, we skip it and reorder */
                   5427:             if( j != -1){
                   5428:               ncodemax[k]++;  /* ncodemax[k]= Number of modalities of the k th
                   5429:                                  covariate for which somebody answered excluding 
                   5430:                                  undefined. Usually 2: 0 and 1. */
                   5431:             }
                   5432:             ncodemaxwundef[k]++; /* ncodemax[j]= Number of modalities of the k th
                   5433:                                     covariate for which somebody answered including 
                   5434:                                     undefined. Usually 3: -1, 0 and 1. */
                   5435:           }    /* In fact  ncodemax[k]=2 (dichotom. variables only) but it could be more for
                   5436:                 * historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
                   5437:         } /* Ndum[-1] number of undefined modalities */
1.231     brouard  5438:                        
1.242     brouard  5439:         /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
                   5440:         /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. */
                   5441:         /* If Ndum[1]=0, Ndum[2]=0, Ndum[3]= 635, Ndum[4]=0, Ndum[5]=0, Ndum[6]=27, Ndum[7]=125; */
                   5442:         /* modmincovj=3; modmaxcovj = 7; */
                   5443:         /* There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3; */
                   5444:         /* which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10; */
                   5445:         /*              defining two dummy variables: variables V1_1 and V1_2.*/
                   5446:         /* nbcode[Tvar[j]][ij]=k; */
                   5447:         /* nbcode[Tvar[j]][1]=0; */
                   5448:         /* nbcode[Tvar[j]][2]=1; */
                   5449:         /* nbcode[Tvar[j]][3]=2; */
                   5450:         /* To be continued (not working yet). */
                   5451:         ij=0; /* ij is similar to i but can jump over null modalities */
1.287     brouard  5452: 
                   5453:         /* 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*/
                   5454:         /* Skipping the case of missing values by reducing nbcode to 0 and 1 and not -1, 0, 1 */
                   5455:         /* model=V1+V2+V3, if V2=-1, 0 or 1, then nbcode[2][1]=0 and nbcode[2][2]=1 instead of
                   5456:          * nbcode[2][1]=-1, nbcode[2][2]=0 and nbcode[2][3]=1 */
                   5457:         /*, could be restored in the future */
                   5458:         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  5459:           if (Ndum[i] == 0) { /* If nobody responded to this modality k */
                   5460:             break;
                   5461:           }
                   5462:           ij++;
1.287     brouard  5463:           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  5464:           cptcode = ij; /* New max modality for covar j */
                   5465:         } /* end of loop on modality i=-1 to 1 or more */
                   5466:         break;
                   5467:        case 1: /* Testing on varying covariate, could be simple and
                   5468:                * should look at waves or product of fixed *
                   5469:                * varying. No time to test -1, assuming 0 and 1 only */
                   5470:         ij=0;
                   5471:         for(i=0; i<=1;i++){
                   5472:           nbcode[Tvar[k]][++ij]=i;
                   5473:         }
                   5474:         break;
                   5475:        default:
                   5476:         break;
                   5477:        } /* end switch */
                   5478:      } /* end dummy test */
1.287     brouard  5479:    } /* 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  5480:   
                   5481:    for (k=-1; k< maxncov; k++) Ndum[k]=0; 
                   5482:    /* Look at fixed dummy (single or product) covariates to check empty modalities */
                   5483:    for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
                   5484:      /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
                   5485:      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 */ 
                   5486:      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 */
                   5487:      /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1,  {2, 1, 1, 1, 2, 1, 1, 0, 0} */
                   5488:    } /* V4+V3+V5, Ndum[1]@5={0, 0, 1, 1, 1} */
                   5489:   
                   5490:    ij=0;
                   5491:    /* for (i=0; i<=  maxncov-1; i++) { /\* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) *\/ */
                   5492:    for (k=1; k<=  cptcovt; k++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
                   5493:      /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
                   5494:      /* if((Ndum[i]!=0) && (i<=ncovcol)){  /\* Tvar[i] <= ncovmodel ? *\/ */
                   5495:      if(Ndum[Tvar[k]]!=0 && Dummy[k] == 0 && Typevar[k]==0){  /* Only Dummy and non empty in the model */
                   5496:        /* If product not in single variable we don't print results */
                   5497:        /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
                   5498:        ++ij;/* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, */
                   5499:        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*/
                   5500:        Tmodelind[ij]=k; /* Tmodelind: index in model of dummies Tmodelind[1]=2 V4: pos=2; V3: pos=3, V1=9 {2, 3, 9, ?, ?,} */
                   5501:        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 */
                   5502:        if(Fixed[k]!=0)
                   5503:         anyvaryingduminmodel=1;
                   5504:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv)){ */
                   5505:        /*   Tvaraff[++ij]=-10; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   5506:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv)){ */
                   5507:        /*   Tvaraff[++ij]=i; /\*For printing (unclear) *\/ */
                   5508:        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv+nqtv)){ */
                   5509:        /*   Tvaraff[++ij]=-20; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   5510:      } 
                   5511:    } /* Tvaraff[1]@5 {3, 4, -20, 0, 0} Very strange */
                   5512:    /* ij--; */
                   5513:    /* cptcoveff=ij; /\*Number of total covariates*\/ */
                   5514:    *cptcov=ij; /*Number of total real effective covariates: effective
                   5515:                * because they can be excluded from the model and real
                   5516:                * if in the model but excluded because missing values, but how to get k from ij?*/
                   5517:    for(j=ij+1; j<= cptcovt; j++){
                   5518:      Tvaraff[j]=0;
                   5519:      Tmodelind[j]=0;
                   5520:    }
                   5521:    for(j=ntveff+1; j<= cptcovt; j++){
                   5522:      TmodelInvind[j]=0;
                   5523:    }
                   5524:    /* To be sorted */
                   5525:    ;
                   5526:  }
1.126     brouard  5527: 
1.145     brouard  5528: 
1.126     brouard  5529: /*********** Health Expectancies ****************/
                   5530: 
1.235     brouard  5531:  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  5532: 
                   5533: {
                   5534:   /* Health expectancies, no variances */
1.164     brouard  5535:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  5536:   int nhstepma, nstepma; /* Decreasing with age */
                   5537:   double age, agelim, hf;
                   5538:   double ***p3mat;
                   5539:   double eip;
                   5540: 
1.238     brouard  5541:   /* pstamp(ficreseij); */
1.126     brouard  5542:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   5543:   fprintf(ficreseij,"# Age");
                   5544:   for(i=1; i<=nlstate;i++){
                   5545:     for(j=1; j<=nlstate;j++){
                   5546:       fprintf(ficreseij," e%1d%1d ",i,j);
                   5547:     }
                   5548:     fprintf(ficreseij," e%1d. ",i);
                   5549:   }
                   5550:   fprintf(ficreseij,"\n");
                   5551: 
                   5552:   
                   5553:   if(estepm < stepm){
                   5554:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   5555:   }
                   5556:   else  hstepm=estepm;   
                   5557:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   5558:    * This is mainly to measure the difference between two models: for example
                   5559:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   5560:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   5561:    * progression in between and thus overestimating or underestimating according
                   5562:    * to the curvature of the survival function. If, for the same date, we 
                   5563:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   5564:    * to compare the new estimate of Life expectancy with the same linear 
                   5565:    * hypothesis. A more precise result, taking into account a more precise
                   5566:    * curvature will be obtained if estepm is as small as stepm. */
                   5567: 
                   5568:   /* For example we decided to compute the life expectancy with the smallest unit */
                   5569:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5570:      nhstepm is the number of hstepm from age to agelim 
                   5571:      nstepm is the number of stepm from age to agelin. 
1.270     brouard  5572:      Look at hpijx to understand the reason which relies in memory size consideration
1.126     brouard  5573:      and note for a fixed period like estepm months */
                   5574:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   5575:      survival function given by stepm (the optimization length). Unfortunately it
                   5576:      means that if the survival funtion is printed only each two years of age and if
                   5577:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5578:      results. So we changed our mind and took the option of the best precision.
                   5579:   */
                   5580:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5581: 
                   5582:   agelim=AGESUP;
                   5583:   /* If stepm=6 months */
                   5584:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   5585:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   5586:     
                   5587: /* nhstepm age range expressed in number of stepm */
                   5588:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5589:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5590:   /* if (stepm >= YEARM) hstepm=1;*/
                   5591:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5592:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5593: 
                   5594:   for (age=bage; age<=fage; age ++){ 
                   5595:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5596:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5597:     /* if (stepm >= YEARM) hstepm=1;*/
                   5598:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   5599: 
                   5600:     /* If stepm=6 months */
                   5601:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   5602:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   5603:     
1.235     brouard  5604:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij, nres);  
1.126     brouard  5605:     
                   5606:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   5607:     
                   5608:     printf("%d|",(int)age);fflush(stdout);
                   5609:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   5610:     
                   5611:     /* Computing expectancies */
                   5612:     for(i=1; i<=nlstate;i++)
                   5613:       for(j=1; j<=nlstate;j++)
                   5614:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   5615:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   5616:          
                   5617:          /* 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]);*/
                   5618: 
                   5619:        }
                   5620: 
                   5621:     fprintf(ficreseij,"%3.0f",age );
                   5622:     for(i=1; i<=nlstate;i++){
                   5623:       eip=0;
                   5624:       for(j=1; j<=nlstate;j++){
                   5625:        eip +=eij[i][j][(int)age];
                   5626:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   5627:       }
                   5628:       fprintf(ficreseij,"%9.4f", eip );
                   5629:     }
                   5630:     fprintf(ficreseij,"\n");
                   5631:     
                   5632:   }
                   5633:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5634:   printf("\n");
                   5635:   fprintf(ficlog,"\n");
                   5636:   
                   5637: }
                   5638: 
1.235     brouard  5639:  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  5640: 
                   5641: {
                   5642:   /* Covariances of health expectancies eij and of total life expectancies according
1.222     brouard  5643:      to initial status i, ei. .
1.126     brouard  5644:   */
                   5645:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   5646:   int nhstepma, nstepma; /* Decreasing with age */
                   5647:   double age, agelim, hf;
                   5648:   double ***p3matp, ***p3matm, ***varhe;
                   5649:   double **dnewm,**doldm;
                   5650:   double *xp, *xm;
                   5651:   double **gp, **gm;
                   5652:   double ***gradg, ***trgradg;
                   5653:   int theta;
                   5654: 
                   5655:   double eip, vip;
                   5656: 
                   5657:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   5658:   xp=vector(1,npar);
                   5659:   xm=vector(1,npar);
                   5660:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   5661:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   5662:   
                   5663:   pstamp(ficresstdeij);
                   5664:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   5665:   fprintf(ficresstdeij,"# Age");
                   5666:   for(i=1; i<=nlstate;i++){
                   5667:     for(j=1; j<=nlstate;j++)
                   5668:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   5669:     fprintf(ficresstdeij," e%1d. ",i);
                   5670:   }
                   5671:   fprintf(ficresstdeij,"\n");
                   5672: 
                   5673:   pstamp(ficrescveij);
                   5674:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   5675:   fprintf(ficrescveij,"# Age");
                   5676:   for(i=1; i<=nlstate;i++)
                   5677:     for(j=1; j<=nlstate;j++){
                   5678:       cptj= (j-1)*nlstate+i;
                   5679:       for(i2=1; i2<=nlstate;i2++)
                   5680:        for(j2=1; j2<=nlstate;j2++){
                   5681:          cptj2= (j2-1)*nlstate+i2;
                   5682:          if(cptj2 <= cptj)
                   5683:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   5684:        }
                   5685:     }
                   5686:   fprintf(ficrescveij,"\n");
                   5687:   
                   5688:   if(estepm < stepm){
                   5689:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   5690:   }
                   5691:   else  hstepm=estepm;   
                   5692:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   5693:    * This is mainly to measure the difference between two models: for example
                   5694:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   5695:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   5696:    * progression in between and thus overestimating or underestimating according
                   5697:    * to the curvature of the survival function. If, for the same date, we 
                   5698:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   5699:    * to compare the new estimate of Life expectancy with the same linear 
                   5700:    * hypothesis. A more precise result, taking into account a more precise
                   5701:    * curvature will be obtained if estepm is as small as stepm. */
                   5702: 
                   5703:   /* For example we decided to compute the life expectancy with the smallest unit */
                   5704:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5705:      nhstepm is the number of hstepm from age to agelim 
                   5706:      nstepm is the number of stepm from age to agelin. 
                   5707:      Look at hpijx to understand the reason of that which relies in memory size
                   5708:      and note for a fixed period like estepm months */
                   5709:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   5710:      survival function given by stepm (the optimization length). Unfortunately it
                   5711:      means that if the survival funtion is printed only each two years of age and if
                   5712:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5713:      results. So we changed our mind and took the option of the best precision.
                   5714:   */
                   5715:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5716: 
                   5717:   /* If stepm=6 months */
                   5718:   /* nhstepm age range expressed in number of stepm */
                   5719:   agelim=AGESUP;
                   5720:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   5721:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5722:   /* if (stepm >= YEARM) hstepm=1;*/
                   5723:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5724:   
                   5725:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5726:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5727:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   5728:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   5729:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   5730:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   5731: 
                   5732:   for (age=bage; age<=fage; age ++){ 
                   5733:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5734:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5735:     /* if (stepm >= YEARM) hstepm=1;*/
                   5736:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
1.218     brouard  5737:                
1.126     brouard  5738:     /* If stepm=6 months */
                   5739:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   5740:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   5741:     
                   5742:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
1.218     brouard  5743:                
1.126     brouard  5744:     /* Computing  Variances of health expectancies */
                   5745:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   5746:        decrease memory allocation */
                   5747:     for(theta=1; theta <=npar; theta++){
                   5748:       for(i=1; i<=npar; i++){ 
1.222     brouard  5749:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5750:        xm[i] = x[i] - (i==theta ?delti[theta]:0);
1.126     brouard  5751:       }
1.235     brouard  5752:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij, nres);  
                   5753:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij, nres);  
1.218     brouard  5754:                        
1.126     brouard  5755:       for(j=1; j<= nlstate; j++){
1.222     brouard  5756:        for(i=1; i<=nlstate; i++){
                   5757:          for(h=0; h<=nhstepm-1; h++){
                   5758:            gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
                   5759:            gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
                   5760:          }
                   5761:        }
1.126     brouard  5762:       }
1.218     brouard  5763:                        
1.126     brouard  5764:       for(ij=1; ij<= nlstate*nlstate; ij++)
1.222     brouard  5765:        for(h=0; h<=nhstepm-1; h++){
                   5766:          gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
                   5767:        }
1.126     brouard  5768:     }/* End theta */
                   5769:     
                   5770:     
                   5771:     for(h=0; h<=nhstepm-1; h++)
                   5772:       for(j=1; j<=nlstate*nlstate;j++)
1.222     brouard  5773:        for(theta=1; theta <=npar; theta++)
                   5774:          trgradg[h][j][theta]=gradg[h][theta][j];
1.126     brouard  5775:     
1.218     brouard  5776:                
1.222     brouard  5777:     for(ij=1;ij<=nlstate*nlstate;ij++)
1.126     brouard  5778:       for(ji=1;ji<=nlstate*nlstate;ji++)
1.222     brouard  5779:        varhe[ij][ji][(int)age] =0.;
1.218     brouard  5780:                
1.222     brouard  5781:     printf("%d|",(int)age);fflush(stdout);
                   5782:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   5783:     for(h=0;h<=nhstepm-1;h++){
1.126     brouard  5784:       for(k=0;k<=nhstepm-1;k++){
1.222     brouard  5785:        matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
                   5786:        matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
                   5787:        for(ij=1;ij<=nlstate*nlstate;ij++)
                   5788:          for(ji=1;ji<=nlstate*nlstate;ji++)
                   5789:            varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
1.126     brouard  5790:       }
                   5791:     }
1.218     brouard  5792:                
1.126     brouard  5793:     /* Computing expectancies */
1.235     brouard  5794:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij,nres);  
1.126     brouard  5795:     for(i=1; i<=nlstate;i++)
                   5796:       for(j=1; j<=nlstate;j++)
1.222     brouard  5797:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   5798:          eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
1.218     brouard  5799:                                        
1.222     brouard  5800:          /* 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  5801:                                        
1.222     brouard  5802:        }
1.269     brouard  5803: 
                   5804:     /* Standard deviation of expectancies ij */                
1.126     brouard  5805:     fprintf(ficresstdeij,"%3.0f",age );
                   5806:     for(i=1; i<=nlstate;i++){
                   5807:       eip=0.;
                   5808:       vip=0.;
                   5809:       for(j=1; j<=nlstate;j++){
1.222     brouard  5810:        eip += eij[i][j][(int)age];
                   5811:        for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
                   5812:          vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
                   5813:        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  5814:       }
                   5815:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   5816:     }
                   5817:     fprintf(ficresstdeij,"\n");
1.218     brouard  5818:                
1.269     brouard  5819:     /* Variance of expectancies ij */          
1.126     brouard  5820:     fprintf(ficrescveij,"%3.0f",age );
                   5821:     for(i=1; i<=nlstate;i++)
                   5822:       for(j=1; j<=nlstate;j++){
1.222     brouard  5823:        cptj= (j-1)*nlstate+i;
                   5824:        for(i2=1; i2<=nlstate;i2++)
                   5825:          for(j2=1; j2<=nlstate;j2++){
                   5826:            cptj2= (j2-1)*nlstate+i2;
                   5827:            if(cptj2 <= cptj)
                   5828:              fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
                   5829:          }
1.126     brouard  5830:       }
                   5831:     fprintf(ficrescveij,"\n");
1.218     brouard  5832:                
1.126     brouard  5833:   }
                   5834:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   5835:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   5836:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   5837:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   5838:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5839:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5840:   printf("\n");
                   5841:   fprintf(ficlog,"\n");
1.218     brouard  5842:        
1.126     brouard  5843:   free_vector(xm,1,npar);
                   5844:   free_vector(xp,1,npar);
                   5845:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   5846:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   5847:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   5848: }
1.218     brouard  5849:  
1.126     brouard  5850: /************ Variance ******************/
1.235     brouard  5851:  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  5852:  {
1.279     brouard  5853:    /** Variance of health expectancies 
                   5854:     *  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);
                   5855:     * double **newm;
                   5856:     * int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav) 
                   5857:     */
1.218     brouard  5858:   
                   5859:    /* int movingaverage(); */
                   5860:    double **dnewm,**doldm;
                   5861:    double **dnewmp,**doldmp;
                   5862:    int i, j, nhstepm, hstepm, h, nstepm ;
1.288     brouard  5863:    int first=0;
1.218     brouard  5864:    int k;
                   5865:    double *xp;
1.279     brouard  5866:    double **gp, **gm;  /**< for var eij */
                   5867:    double ***gradg, ***trgradg; /**< for var eij */
                   5868:    double **gradgp, **trgradgp; /**< for var p point j */
                   5869:    double *gpp, *gmp; /**< for var p point j */
                   5870:    double **varppt; /**< for var p point j nlstate to nlstate+ndeath */
1.218     brouard  5871:    double ***p3mat;
                   5872:    double age,agelim, hf;
                   5873:    /* double ***mobaverage; */
                   5874:    int theta;
                   5875:    char digit[4];
                   5876:    char digitp[25];
                   5877: 
                   5878:    char fileresprobmorprev[FILENAMELENGTH];
                   5879: 
                   5880:    if(popbased==1){
                   5881:      if(mobilav!=0)
                   5882:        strcpy(digitp,"-POPULBASED-MOBILAV_");
                   5883:      else strcpy(digitp,"-POPULBASED-NOMOBIL_");
                   5884:    }
                   5885:    else 
                   5886:      strcpy(digitp,"-STABLBASED_");
1.126     brouard  5887: 
1.218     brouard  5888:    /* if (mobilav!=0) { */
                   5889:    /*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   5890:    /*   if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){ */
                   5891:    /*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */
                   5892:    /*     printf(" Error in movingaverage mobilav=%d\n",mobilav); */
                   5893:    /*   } */
                   5894:    /* } */
                   5895: 
                   5896:    strcpy(fileresprobmorprev,"PRMORPREV-"); 
                   5897:    sprintf(digit,"%-d",ij);
                   5898:    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
                   5899:    strcat(fileresprobmorprev,digit); /* Tvar to be done */
                   5900:    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
                   5901:    strcat(fileresprobmorprev,fileresu);
                   5902:    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
                   5903:      printf("Problem with resultfile: %s\n", fileresprobmorprev);
                   5904:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
                   5905:    }
                   5906:    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5907:    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5908:    pstamp(ficresprobmorprev);
                   5909:    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  5910:    fprintf(ficresprobmorprev,"# Selected quantitative variables and dummies");
                   5911:    for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   5912:      fprintf(ficresprobmorprev," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   5913:    }
                   5914:    for(j=1;j<=cptcoveff;j++) 
                   5915:      fprintf(ficresprobmorprev,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(ij,j)]);
                   5916:    fprintf(ficresprobmorprev,"\n");
                   5917: 
1.218     brouard  5918:    fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
                   5919:    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   5920:      fprintf(ficresprobmorprev," p.%-d SE",j);
                   5921:      for(i=1; i<=nlstate;i++)
                   5922:        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
                   5923:    }  
                   5924:    fprintf(ficresprobmorprev,"\n");
                   5925:   
                   5926:    fprintf(ficgp,"\n# Routine varevsij");
                   5927:    fprintf(ficgp,"\nunset title \n");
                   5928:    /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
                   5929:    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");
                   5930:    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
1.279     brouard  5931: 
1.218     brouard  5932:    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5933:    pstamp(ficresvij);
                   5934:    fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
                   5935:    if(popbased==1)
                   5936:      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);
                   5937:    else
                   5938:      fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
                   5939:    fprintf(ficresvij,"# Age");
                   5940:    for(i=1; i<=nlstate;i++)
                   5941:      for(j=1; j<=nlstate;j++)
                   5942:        fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
                   5943:    fprintf(ficresvij,"\n");
                   5944: 
                   5945:    xp=vector(1,npar);
                   5946:    dnewm=matrix(1,nlstate,1,npar);
                   5947:    doldm=matrix(1,nlstate,1,nlstate);
                   5948:    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
                   5949:    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5950: 
                   5951:    gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
                   5952:    gpp=vector(nlstate+1,nlstate+ndeath);
                   5953:    gmp=vector(nlstate+1,nlstate+ndeath);
                   5954:    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.126     brouard  5955:   
1.218     brouard  5956:    if(estepm < stepm){
                   5957:      printf ("Problem %d lower than %d\n",estepm, stepm);
                   5958:    }
                   5959:    else  hstepm=estepm;   
                   5960:    /* For example we decided to compute the life expectancy with the smallest unit */
                   5961:    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5962:       nhstepm is the number of hstepm from age to agelim 
                   5963:       nstepm is the number of stepm from age to agelim. 
                   5964:       Look at function hpijx to understand why because of memory size limitations, 
                   5965:       we decided (b) to get a life expectancy respecting the most precise curvature of the
                   5966:       survival function given by stepm (the optimization length). Unfortunately it
                   5967:       means that if the survival funtion is printed every two years of age and if
                   5968:       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5969:       results. So we changed our mind and took the option of the best precision.
                   5970:    */
                   5971:    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5972:    agelim = AGESUP;
                   5973:    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   5974:      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   5975:      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5976:      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5977:      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
                   5978:      gp=matrix(0,nhstepm,1,nlstate);
                   5979:      gm=matrix(0,nhstepm,1,nlstate);
                   5980:                
                   5981:                
                   5982:      for(theta=1; theta <=npar; theta++){
                   5983:        for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
                   5984:         xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5985:        }
1.279     brouard  5986:        /**< Computes the prevalence limit with parameter theta shifted of delta up to ftolpl precision and 
                   5987:        * returns into prlim .
1.288     brouard  5988:        */
1.242     brouard  5989:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij, nres);
1.279     brouard  5990: 
                   5991:        /* If popbased = 1 we use crossection prevalences. Previous step is useless but prlim is created */
1.218     brouard  5992:        if (popbased==1) {
                   5993:         if(mobilav ==0){
                   5994:           for(i=1; i<=nlstate;i++)
                   5995:             prlim[i][i]=probs[(int)age][i][ij];
                   5996:         }else{ /* mobilav */ 
                   5997:           for(i=1; i<=nlstate;i++)
                   5998:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   5999:         }
                   6000:        }
1.279     brouard  6001:        /**< Computes the shifted transition matrix \f$ {}{h}_p^{ij}_x\f$ at horizon h.
                   6002:        */                      
                   6003:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij,nres);  /* Returns p3mat[i][j][h] for h=0 to nhstepm */
                   6004:        /**< And for each alive state j, sums over i \f$ w^i_x {}{h}_p^{ij}_x\f$, which are the probability
                   6005:        * at horizon h in state j including mortality.
                   6006:        */
1.218     brouard  6007:        for(j=1; j<= nlstate; j++){
                   6008:         for(h=0; h<=nhstepm; h++){
                   6009:           for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                   6010:             gp[h][j] += prlim[i][i]*p3mat[i][j][h];
                   6011:         }
                   6012:        }
1.279     brouard  6013:        /* Next for computing shifted+ probability of death (h=1 means
1.218     brouard  6014:          computed over hstepm matrices product = hstepm*stepm months) 
1.279     brouard  6015:          as a weighted average of prlim(i) * p(i,j) p.3=w1*p13 + w2*p23 .
1.218     brouard  6016:        */
                   6017:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6018:         for(i=1,gpp[j]=0.; i<= nlstate; i++)
                   6019:           gpp[j] += prlim[i][i]*p3mat[i][j][1];
1.279     brouard  6020:        }
                   6021:        
                   6022:        /* Again with minus shift */
1.218     brouard  6023:                        
                   6024:        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
                   6025:         xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.288     brouard  6026: 
1.242     brouard  6027:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp, ij, nres);
1.218     brouard  6028:                        
                   6029:        if (popbased==1) {
                   6030:         if(mobilav ==0){
                   6031:           for(i=1; i<=nlstate;i++)
                   6032:             prlim[i][i]=probs[(int)age][i][ij];
                   6033:         }else{ /* mobilav */ 
                   6034:           for(i=1; i<=nlstate;i++)
                   6035:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   6036:         }
                   6037:        }
                   6038:                        
1.235     brouard  6039:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij,nres);  
1.218     brouard  6040:                        
                   6041:        for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
                   6042:         for(h=0; h<=nhstepm; h++){
                   6043:           for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                   6044:             gm[h][j] += prlim[i][i]*p3mat[i][j][h];
                   6045:         }
                   6046:        }
                   6047:        /* This for computing probability of death (h=1 means
                   6048:          computed over hstepm matrices product = hstepm*stepm months) 
                   6049:          as a weighted average of prlim.
                   6050:        */
                   6051:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6052:         for(i=1,gmp[j]=0.; i<= nlstate; i++)
                   6053:           gmp[j] += prlim[i][i]*p3mat[i][j][1];
                   6054:        }    
1.279     brouard  6055:        /* end shifting computations */
                   6056: 
                   6057:        /**< Computing gradient matrix at horizon h 
                   6058:        */
1.218     brouard  6059:        for(j=1; j<= nlstate; j++) /* vareij */
                   6060:         for(h=0; h<=nhstepm; h++){
                   6061:           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
                   6062:         }
1.279     brouard  6063:        /**< Gradient of overall mortality p.3 (or p.j) 
                   6064:        */
                   6065:        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu mortality from j */
1.218     brouard  6066:         gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
                   6067:        }
                   6068:                        
                   6069:      } /* End theta */
1.279     brouard  6070:      
                   6071:      /* We got the gradient matrix for each theta and state j */               
1.218     brouard  6072:      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
                   6073:                
                   6074:      for(h=0; h<=nhstepm; h++) /* veij */
                   6075:        for(j=1; j<=nlstate;j++)
                   6076:         for(theta=1; theta <=npar; theta++)
                   6077:           trgradg[h][j][theta]=gradg[h][theta][j];
                   6078:                
                   6079:      for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                   6080:        for(theta=1; theta <=npar; theta++)
                   6081:         trgradgp[j][theta]=gradgp[theta][j];
1.279     brouard  6082:      /**< as well as its transposed matrix 
                   6083:       */               
1.218     brouard  6084:                
                   6085:      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   6086:      for(i=1;i<=nlstate;i++)
                   6087:        for(j=1;j<=nlstate;j++)
                   6088:         vareij[i][j][(int)age] =0.;
1.279     brouard  6089: 
                   6090:      /* Computing trgradg by matcov by gradg at age and summing over h
                   6091:       * and k (nhstepm) formula 15 of article
                   6092:       * Lievre-Brouard-Heathcote
                   6093:       */
                   6094:      
1.218     brouard  6095:      for(h=0;h<=nhstepm;h++){
                   6096:        for(k=0;k<=nhstepm;k++){
                   6097:         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
                   6098:         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
                   6099:         for(i=1;i<=nlstate;i++)
                   6100:           for(j=1;j<=nlstate;j++)
                   6101:             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
                   6102:        }
                   6103:      }
                   6104:                
1.279     brouard  6105:      /* pptj is p.3 or p.j = trgradgp by cov by gradgp, variance of
                   6106:       * p.j overall mortality formula 49 but computed directly because
                   6107:       * we compute the grad (wix pijx) instead of grad (pijx),even if
                   6108:       * wix is independent of theta.
                   6109:       */
1.218     brouard  6110:      matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
                   6111:      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
                   6112:      for(j=nlstate+1;j<=nlstate+ndeath;j++)
                   6113:        for(i=nlstate+1;i<=nlstate+ndeath;i++)
                   6114:         varppt[j][i]=doldmp[j][i];
                   6115:      /* end ppptj */
                   6116:      /*  x centered again */
                   6117:                
1.242     brouard  6118:      prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyearp,ij, nres);
1.218     brouard  6119:                
                   6120:      if (popbased==1) {
                   6121:        if(mobilav ==0){
                   6122:         for(i=1; i<=nlstate;i++)
                   6123:           prlim[i][i]=probs[(int)age][i][ij];
                   6124:        }else{ /* mobilav */ 
                   6125:         for(i=1; i<=nlstate;i++)
                   6126:           prlim[i][i]=mobaverage[(int)age][i][ij];
                   6127:        }
                   6128:      }
                   6129:                
                   6130:      /* This for computing probability of death (h=1 means
                   6131:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
                   6132:        as a weighted average of prlim.
                   6133:      */
1.235     brouard  6134:      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij, nres);  
1.218     brouard  6135:      for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   6136:        for(i=1,gmp[j]=0.;i<= nlstate; i++) 
                   6137:         gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
                   6138:      }    
                   6139:      /* end probability of death */
                   6140:                
                   6141:      fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
                   6142:      for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   6143:        fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
                   6144:        for(i=1; i<=nlstate;i++){
                   6145:         fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
                   6146:        }
                   6147:      } 
                   6148:      fprintf(ficresprobmorprev,"\n");
                   6149:                
                   6150:      fprintf(ficresvij,"%.0f ",age );
                   6151:      for(i=1; i<=nlstate;i++)
                   6152:        for(j=1; j<=nlstate;j++){
                   6153:         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
                   6154:        }
                   6155:      fprintf(ficresvij,"\n");
                   6156:      free_matrix(gp,0,nhstepm,1,nlstate);
                   6157:      free_matrix(gm,0,nhstepm,1,nlstate);
                   6158:      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
                   6159:      free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
                   6160:      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6161:    } /* End age */
                   6162:    free_vector(gpp,nlstate+1,nlstate+ndeath);
                   6163:    free_vector(gmp,nlstate+1,nlstate+ndeath);
                   6164:    free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
                   6165:    free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
                   6166:    /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
                   6167:    fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
                   6168:    /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
                   6169:    fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
                   6170:    fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
                   6171:    /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
                   6172:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   6173:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   6174:    fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
                   6175:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
                   6176:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
                   6177:    fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
                   6178:    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);
                   6179:    /*  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  6180:     */
1.218     brouard  6181:    /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
                   6182:    fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  6183: 
1.218     brouard  6184:    free_vector(xp,1,npar);
                   6185:    free_matrix(doldm,1,nlstate,1,nlstate);
                   6186:    free_matrix(dnewm,1,nlstate,1,npar);
                   6187:    free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6188:    free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
                   6189:    free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   6190:    /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   6191:    fclose(ficresprobmorprev);
                   6192:    fflush(ficgp);
                   6193:    fflush(fichtm); 
                   6194:  }  /* end varevsij */
1.126     brouard  6195: 
                   6196: /************ Variance of prevlim ******************/
1.269     brouard  6197:  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  6198: {
1.205     brouard  6199:   /* Variance of prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
1.126     brouard  6200:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  6201: 
1.268     brouard  6202:   double **dnewmpar,**doldm;
1.126     brouard  6203:   int i, j, nhstepm, hstepm;
                   6204:   double *xp;
                   6205:   double *gp, *gm;
                   6206:   double **gradg, **trgradg;
1.208     brouard  6207:   double **mgm, **mgp;
1.126     brouard  6208:   double age,agelim;
                   6209:   int theta;
                   6210:   
                   6211:   pstamp(ficresvpl);
1.288     brouard  6212:   fprintf(ficresvpl,"# Standard deviation of period (forward stable) prevalences \n");
1.241     brouard  6213:   fprintf(ficresvpl,"# Age ");
                   6214:   if(nresult >=1)
                   6215:     fprintf(ficresvpl," Result# ");
1.126     brouard  6216:   for(i=1; i<=nlstate;i++)
                   6217:       fprintf(ficresvpl," %1d-%1d",i,i);
                   6218:   fprintf(ficresvpl,"\n");
                   6219: 
                   6220:   xp=vector(1,npar);
1.268     brouard  6221:   dnewmpar=matrix(1,nlstate,1,npar);
1.126     brouard  6222:   doldm=matrix(1,nlstate,1,nlstate);
                   6223:   
                   6224:   hstepm=1*YEARM; /* Every year of age */
                   6225:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   6226:   agelim = AGESUP;
                   6227:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   6228:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6229:     if (stepm >= YEARM) hstepm=1;
                   6230:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6231:     gradg=matrix(1,npar,1,nlstate);
1.208     brouard  6232:     mgp=matrix(1,npar,1,nlstate);
                   6233:     mgm=matrix(1,npar,1,nlstate);
1.126     brouard  6234:     gp=vector(1,nlstate);
                   6235:     gm=vector(1,nlstate);
                   6236: 
                   6237:     for(theta=1; theta <=npar; theta++){
                   6238:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   6239:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6240:       }
1.288     brouard  6241:       /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */
                   6242:       /*       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */
                   6243:       /* else */
                   6244:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
1.208     brouard  6245:       for(i=1;i<=nlstate;i++){
1.126     brouard  6246:        gp[i] = prlim[i][i];
1.208     brouard  6247:        mgp[theta][i] = prlim[i][i];
                   6248:       }
1.126     brouard  6249:       for(i=1; i<=npar; i++) /* Computes gradient */
                   6250:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.288     brouard  6251:       /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */
                   6252:       /*       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */
                   6253:       /* else */
                   6254:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
1.208     brouard  6255:       for(i=1;i<=nlstate;i++){
1.126     brouard  6256:        gm[i] = prlim[i][i];
1.208     brouard  6257:        mgm[theta][i] = prlim[i][i];
                   6258:       }
1.126     brouard  6259:       for(i=1;i<=nlstate;i++)
                   6260:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
1.209     brouard  6261:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
1.126     brouard  6262:     } /* End theta */
                   6263: 
                   6264:     trgradg =matrix(1,nlstate,1,npar);
                   6265: 
                   6266:     for(j=1; j<=nlstate;j++)
                   6267:       for(theta=1; theta <=npar; theta++)
                   6268:        trgradg[j][theta]=gradg[theta][j];
1.209     brouard  6269:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6270:     /*   printf("\nmgm mgp %d ",(int)age); */
                   6271:     /*   for(j=1; j<=nlstate;j++){ */
                   6272:     /*         printf(" %d ",j); */
                   6273:     /*         for(theta=1; theta <=npar; theta++) */
                   6274:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   6275:     /*         printf("\n "); */
                   6276:     /*   } */
                   6277:     /* } */
                   6278:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6279:     /*   printf("\n gradg %d ",(int)age); */
                   6280:     /*   for(j=1; j<=nlstate;j++){ */
                   6281:     /*         printf("%d ",j); */
                   6282:     /*         for(theta=1; theta <=npar; theta++) */
                   6283:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   6284:     /*         printf("\n "); */
                   6285:     /*   } */
                   6286:     /* } */
1.126     brouard  6287: 
                   6288:     for(i=1;i<=nlstate;i++)
                   6289:       varpl[i][(int)age] =0.;
1.209     brouard  6290:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
1.268     brouard  6291:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6292:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  6293:     }else{
1.268     brouard  6294:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6295:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  6296:     }
1.126     brouard  6297:     for(i=1;i<=nlstate;i++)
                   6298:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   6299: 
                   6300:     fprintf(ficresvpl,"%.0f ",age );
1.241     brouard  6301:     if(nresult >=1)
                   6302:       fprintf(ficresvpl,"%d ",nres );
1.288     brouard  6303:     for(i=1; i<=nlstate;i++){
1.126     brouard  6304:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
1.288     brouard  6305:       /* for(j=1;j<=nlstate;j++) */
                   6306:       /*       fprintf(ficresvpl," %d %.5f ",j,prlim[j][i]); */
                   6307:     }
1.126     brouard  6308:     fprintf(ficresvpl,"\n");
                   6309:     free_vector(gp,1,nlstate);
                   6310:     free_vector(gm,1,nlstate);
1.208     brouard  6311:     free_matrix(mgm,1,npar,1,nlstate);
                   6312:     free_matrix(mgp,1,npar,1,nlstate);
1.126     brouard  6313:     free_matrix(gradg,1,npar,1,nlstate);
                   6314:     free_matrix(trgradg,1,nlstate,1,npar);
                   6315:   } /* End age */
                   6316: 
                   6317:   free_vector(xp,1,npar);
                   6318:   free_matrix(doldm,1,nlstate,1,npar);
1.268     brouard  6319:   free_matrix(dnewmpar,1,nlstate,1,nlstate);
                   6320: 
                   6321: }
                   6322: 
                   6323: 
                   6324: /************ Variance of backprevalence limit ******************/
1.269     brouard  6325:  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  6326: {
                   6327:   /* Variance of backward prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
                   6328:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
                   6329: 
                   6330:   double **dnewmpar,**doldm;
                   6331:   int i, j, nhstepm, hstepm;
                   6332:   double *xp;
                   6333:   double *gp, *gm;
                   6334:   double **gradg, **trgradg;
                   6335:   double **mgm, **mgp;
                   6336:   double age,agelim;
                   6337:   int theta;
                   6338:   
                   6339:   pstamp(ficresvbl);
                   6340:   fprintf(ficresvbl,"# Standard deviation of back (stable) prevalences \n");
                   6341:   fprintf(ficresvbl,"# Age ");
                   6342:   if(nresult >=1)
                   6343:     fprintf(ficresvbl," Result# ");
                   6344:   for(i=1; i<=nlstate;i++)
                   6345:       fprintf(ficresvbl," %1d-%1d",i,i);
                   6346:   fprintf(ficresvbl,"\n");
                   6347: 
                   6348:   xp=vector(1,npar);
                   6349:   dnewmpar=matrix(1,nlstate,1,npar);
                   6350:   doldm=matrix(1,nlstate,1,nlstate);
                   6351:   
                   6352:   hstepm=1*YEARM; /* Every year of age */
                   6353:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   6354:   agelim = AGEINF;
                   6355:   for (age=fage; age>=bage; age --){ /* If stepm=6 months */
                   6356:     nhstepm=(int) rint((age-agelim)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6357:     if (stepm >= YEARM) hstepm=1;
                   6358:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6359:     gradg=matrix(1,npar,1,nlstate);
                   6360:     mgp=matrix(1,npar,1,nlstate);
                   6361:     mgm=matrix(1,npar,1,nlstate);
                   6362:     gp=vector(1,nlstate);
                   6363:     gm=vector(1,nlstate);
                   6364: 
                   6365:     for(theta=1; theta <=npar; theta++){
                   6366:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   6367:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   6368:       }
                   6369:       if(mobilavproj > 0 )
                   6370:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6371:       else
                   6372:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6373:       for(i=1;i<=nlstate;i++){
                   6374:        gp[i] = bprlim[i][i];
                   6375:        mgp[theta][i] = bprlim[i][i];
                   6376:       }
                   6377:      for(i=1; i<=npar; i++) /* Computes gradient */
                   6378:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   6379:        if(mobilavproj > 0 )
                   6380:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6381:        else
                   6382:        bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
                   6383:       for(i=1;i<=nlstate;i++){
                   6384:        gm[i] = bprlim[i][i];
                   6385:        mgm[theta][i] = bprlim[i][i];
                   6386:       }
                   6387:       for(i=1;i<=nlstate;i++)
                   6388:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
                   6389:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
                   6390:     } /* End theta */
                   6391: 
                   6392:     trgradg =matrix(1,nlstate,1,npar);
                   6393: 
                   6394:     for(j=1; j<=nlstate;j++)
                   6395:       for(theta=1; theta <=npar; theta++)
                   6396:        trgradg[j][theta]=gradg[theta][j];
                   6397:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6398:     /*   printf("\nmgm mgp %d ",(int)age); */
                   6399:     /*   for(j=1; j<=nlstate;j++){ */
                   6400:     /*         printf(" %d ",j); */
                   6401:     /*         for(theta=1; theta <=npar; theta++) */
                   6402:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   6403:     /*         printf("\n "); */
                   6404:     /*   } */
                   6405:     /* } */
                   6406:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   6407:     /*   printf("\n gradg %d ",(int)age); */
                   6408:     /*   for(j=1; j<=nlstate;j++){ */
                   6409:     /*         printf("%d ",j); */
                   6410:     /*         for(theta=1; theta <=npar; theta++) */
                   6411:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   6412:     /*         printf("\n "); */
                   6413:     /*   } */
                   6414:     /* } */
                   6415: 
                   6416:     for(i=1;i<=nlstate;i++)
                   6417:       varbpl[i][(int)age] =0.;
                   6418:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
                   6419:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6420:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
                   6421:     }else{
                   6422:     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   6423:     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
                   6424:     }
                   6425:     for(i=1;i<=nlstate;i++)
                   6426:       varbpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   6427: 
                   6428:     fprintf(ficresvbl,"%.0f ",age );
                   6429:     if(nresult >=1)
                   6430:       fprintf(ficresvbl,"%d ",nres );
                   6431:     for(i=1; i<=nlstate;i++)
                   6432:       fprintf(ficresvbl," %.5f (%.5f)",bprlim[i][i],sqrt(varbpl[i][(int)age]));
                   6433:     fprintf(ficresvbl,"\n");
                   6434:     free_vector(gp,1,nlstate);
                   6435:     free_vector(gm,1,nlstate);
                   6436:     free_matrix(mgm,1,npar,1,nlstate);
                   6437:     free_matrix(mgp,1,npar,1,nlstate);
                   6438:     free_matrix(gradg,1,npar,1,nlstate);
                   6439:     free_matrix(trgradg,1,nlstate,1,npar);
                   6440:   } /* End age */
                   6441: 
                   6442:   free_vector(xp,1,npar);
                   6443:   free_matrix(doldm,1,nlstate,1,npar);
                   6444:   free_matrix(dnewmpar,1,nlstate,1,nlstate);
1.126     brouard  6445: 
                   6446: }
                   6447: 
                   6448: /************ Variance of one-step probabilities  ******************/
                   6449: 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  6450:  {
                   6451:    int i, j=0,  k1, l1, tj;
                   6452:    int k2, l2, j1,  z1;
                   6453:    int k=0, l;
                   6454:    int first=1, first1, first2;
                   6455:    double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   6456:    double **dnewm,**doldm;
                   6457:    double *xp;
                   6458:    double *gp, *gm;
                   6459:    double **gradg, **trgradg;
                   6460:    double **mu;
                   6461:    double age, cov[NCOVMAX+1];
                   6462:    double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   6463:    int theta;
                   6464:    char fileresprob[FILENAMELENGTH];
                   6465:    char fileresprobcov[FILENAMELENGTH];
                   6466:    char fileresprobcor[FILENAMELENGTH];
                   6467:    double ***varpij;
                   6468: 
                   6469:    strcpy(fileresprob,"PROB_"); 
                   6470:    strcat(fileresprob,fileres);
                   6471:    if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   6472:      printf("Problem with resultfile: %s\n", fileresprob);
                   6473:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   6474:    }
                   6475:    strcpy(fileresprobcov,"PROBCOV_"); 
                   6476:    strcat(fileresprobcov,fileresu);
                   6477:    if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   6478:      printf("Problem with resultfile: %s\n", fileresprobcov);
                   6479:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   6480:    }
                   6481:    strcpy(fileresprobcor,"PROBCOR_"); 
                   6482:    strcat(fileresprobcor,fileresu);
                   6483:    if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   6484:      printf("Problem with resultfile: %s\n", fileresprobcor);
                   6485:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   6486:    }
                   6487:    printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   6488:    fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   6489:    printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   6490:    fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   6491:    printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   6492:    fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   6493:    pstamp(ficresprob);
                   6494:    fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   6495:    fprintf(ficresprob,"# Age");
                   6496:    pstamp(ficresprobcov);
                   6497:    fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   6498:    fprintf(ficresprobcov,"# Age");
                   6499:    pstamp(ficresprobcor);
                   6500:    fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   6501:    fprintf(ficresprobcor,"# Age");
1.126     brouard  6502: 
                   6503: 
1.222     brouard  6504:    for(i=1; i<=nlstate;i++)
                   6505:      for(j=1; j<=(nlstate+ndeath);j++){
                   6506:        fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   6507:        fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   6508:        fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   6509:      }  
                   6510:    /* fprintf(ficresprob,"\n");
                   6511:       fprintf(ficresprobcov,"\n");
                   6512:       fprintf(ficresprobcor,"\n");
                   6513:    */
                   6514:    xp=vector(1,npar);
                   6515:    dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   6516:    doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   6517:    mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   6518:    varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   6519:    first=1;
                   6520:    fprintf(ficgp,"\n# Routine varprob");
                   6521:    fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   6522:    fprintf(fichtm,"\n");
                   6523: 
1.288     brouard  6524:    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  6525:    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);
                   6526:    fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
1.126     brouard  6527: and drawn. It helps understanding how is the covariance between two incidences.\
                   6528:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
1.222     brouard  6529:    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  6530: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   6531: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   6532: standard deviations wide on each axis. <br>\
                   6533:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   6534:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   6535: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   6536: 
1.222     brouard  6537:    cov[1]=1;
                   6538:    /* tj=cptcoveff; */
1.225     brouard  6539:    tj = (int) pow(2,cptcoveff);
1.222     brouard  6540:    if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   6541:    j1=0;
1.224     brouard  6542:    for(j1=1; j1<=tj;j1++){  /* For each valid combination of covariates or only once*/
1.222     brouard  6543:      if  (cptcovn>0) {
                   6544:        fprintf(ficresprob, "\n#********** Variable "); 
1.225     brouard  6545:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6546:        fprintf(ficresprob, "**********\n#\n");
                   6547:        fprintf(ficresprobcov, "\n#********** Variable "); 
1.225     brouard  6548:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6549:        fprintf(ficresprobcov, "**********\n#\n");
1.220     brouard  6550:                        
1.222     brouard  6551:        fprintf(ficgp, "\n#********** Variable "); 
1.225     brouard  6552:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6553:        fprintf(ficgp, "**********\n#\n");
1.220     brouard  6554:                        
                   6555:                        
1.222     brouard  6556:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
1.225     brouard  6557:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6558:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  6559:                        
1.222     brouard  6560:        fprintf(ficresprobcor, "\n#********** Variable ");    
1.225     brouard  6561:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  6562:        fprintf(ficresprobcor, "**********\n#");    
                   6563:        if(invalidvarcomb[j1]){
                   6564:         fprintf(ficgp,"\n#Combination (%d) ignored because no cases \n",j1); 
                   6565:         fprintf(fichtmcov,"\n<h3>Combination (%d) ignored because no cases </h3>\n",j1); 
                   6566:         continue;
                   6567:        }
                   6568:      }
                   6569:      gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   6570:      trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   6571:      gp=vector(1,(nlstate)*(nlstate+ndeath));
                   6572:      gm=vector(1,(nlstate)*(nlstate+ndeath));
                   6573:      for (age=bage; age<=fage; age ++){ 
                   6574:        cov[2]=age;
                   6575:        if(nagesqr==1)
                   6576:         cov[3]= age*age;
                   6577:        for (k=1; k<=cptcovn;k++) {
                   6578:         cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
                   6579:         /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
                   6580:                                                                    * 1  1 1 1 1
                   6581:                                                                    * 2  2 1 1 1
                   6582:                                                                    * 3  1 2 1 1
                   6583:                                                                    */
                   6584:         /* nbcode[1][1]=0 nbcode[1][2]=1;*/
                   6585:        }
                   6586:        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   6587:        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   6588:        for (k=1; k<=cptcovprod;k++)
                   6589:         cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.220     brouard  6590:                        
                   6591:                        
1.222     brouard  6592:        for(theta=1; theta <=npar; theta++){
                   6593:         for(i=1; i<=npar; i++)
                   6594:           xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
1.220     brouard  6595:                                
1.222     brouard  6596:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
1.220     brouard  6597:                                
1.222     brouard  6598:         k=0;
                   6599:         for(i=1; i<= (nlstate); i++){
                   6600:           for(j=1; j<=(nlstate+ndeath);j++){
                   6601:             k=k+1;
                   6602:             gp[k]=pmmij[i][j];
                   6603:           }
                   6604:         }
1.220     brouard  6605:                                
1.222     brouard  6606:         for(i=1; i<=npar; i++)
                   6607:           xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
1.220     brouard  6608:                                
1.222     brouard  6609:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   6610:         k=0;
                   6611:         for(i=1; i<=(nlstate); i++){
                   6612:           for(j=1; j<=(nlstate+ndeath);j++){
                   6613:             k=k+1;
                   6614:             gm[k]=pmmij[i][j];
                   6615:           }
                   6616:         }
1.220     brouard  6617:                                
1.222     brouard  6618:         for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   6619:           gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   6620:        }
1.126     brouard  6621: 
1.222     brouard  6622:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   6623:         for(theta=1; theta <=npar; theta++)
                   6624:           trgradg[j][theta]=gradg[theta][j];
1.220     brouard  6625:                        
1.222     brouard  6626:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   6627:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
1.220     brouard  6628:                        
1.222     brouard  6629:        pmij(pmmij,cov,ncovmodel,x,nlstate);
1.220     brouard  6630:                        
1.222     brouard  6631:        k=0;
                   6632:        for(i=1; i<=(nlstate); i++){
                   6633:         for(j=1; j<=(nlstate+ndeath);j++){
                   6634:           k=k+1;
                   6635:           mu[k][(int) age]=pmmij[i][j];
                   6636:         }
                   6637:        }
                   6638:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   6639:         for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   6640:           varpij[i][j][(int)age] = doldm[i][j];
1.220     brouard  6641:                        
1.222     brouard  6642:        /*printf("\n%d ",(int)age);
                   6643:         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   6644:         printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   6645:         fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   6646:         }*/
1.220     brouard  6647:                        
1.222     brouard  6648:        fprintf(ficresprob,"\n%d ",(int)age);
                   6649:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   6650:        fprintf(ficresprobcor,"\n%d ",(int)age);
1.220     brouard  6651:                        
1.222     brouard  6652:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   6653:         fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   6654:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   6655:         fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   6656:         fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   6657:        }
                   6658:        i=0;
                   6659:        for (k=1; k<=(nlstate);k++){
                   6660:         for (l=1; l<=(nlstate+ndeath);l++){ 
                   6661:           i++;
                   6662:           fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   6663:           fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   6664:           for (j=1; j<=i;j++){
                   6665:             /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
                   6666:             fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   6667:             fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   6668:           }
                   6669:         }
                   6670:        }/* end of loop for state */
                   6671:      } /* end of loop for age */
                   6672:      free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   6673:      free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   6674:      free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   6675:      free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   6676:     
                   6677:      /* Confidence intervalle of pij  */
                   6678:      /*
                   6679:        fprintf(ficgp,"\nunset parametric;unset label");
                   6680:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   6681:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   6682:        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);
                   6683:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   6684:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   6685:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   6686:      */
                   6687:                
                   6688:      /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
                   6689:      first1=1;first2=2;
                   6690:      for (k2=1; k2<=(nlstate);k2++){
                   6691:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   6692:         if(l2==k2) continue;
                   6693:         j=(k2-1)*(nlstate+ndeath)+l2;
                   6694:         for (k1=1; k1<=(nlstate);k1++){
                   6695:           for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   6696:             if(l1==k1) continue;
                   6697:             i=(k1-1)*(nlstate+ndeath)+l1;
                   6698:             if(i<=j) continue;
                   6699:             for (age=bage; age<=fage; age ++){ 
                   6700:               if ((int)age %5==0){
                   6701:                 v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   6702:                 v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   6703:                 cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   6704:                 mu1=mu[i][(int) age]/stepm*YEARM ;
                   6705:                 mu2=mu[j][(int) age]/stepm*YEARM;
                   6706:                 c12=cv12/sqrt(v1*v2);
                   6707:                 /* Computing eigen value of matrix of covariance */
                   6708:                 lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   6709:                 lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   6710:                 if ((lc2 <0) || (lc1 <0) ){
                   6711:                   if(first2==1){
                   6712:                     first1=0;
                   6713:                     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);
                   6714:                   }
                   6715:                   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);
                   6716:                   /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   6717:                   /* lc2=fabs(lc2); */
                   6718:                 }
1.220     brouard  6719:                                                                
1.222     brouard  6720:                 /* Eigen vectors */
1.280     brouard  6721:                 if(1+(v1-lc1)*(v1-lc1)/cv12/cv12 <1.e-5){
                   6722:                   printf(" Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12);
                   6723:                   fprintf(ficlog," Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12);
                   6724:                   v11=(1./sqrt(fabs(1+(v1-lc1)*(v1-lc1)/cv12/cv12)));
                   6725:                 }else
                   6726:                   v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
1.222     brouard  6727:                 /*v21=sqrt(1.-v11*v11); *//* error */
                   6728:                 v21=(lc1-v1)/cv12*v11;
                   6729:                 v12=-v21;
                   6730:                 v22=v11;
                   6731:                 tnalp=v21/v11;
                   6732:                 if(first1==1){
                   6733:                   first1=0;
                   6734:                   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);
                   6735:                 }
                   6736:                 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);
                   6737:                 /*printf(fignu*/
                   6738:                 /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   6739:                 /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   6740:                 if(first==1){
                   6741:                   first=0;
                   6742:                   fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
                   6743:                   fprintf(ficgp,"\nset parametric;unset label");
                   6744:                   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);
                   6745:                   fprintf(ficgp,"\nset ter svg size 640, 480");
1.266     brouard  6746:                   fprintf(fichtmcov,"\n<p><br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
1.220     brouard  6747:  :<a href=\"%s_%d%1d%1d-%1d%1d.svg\">                                                                                                                                          \
1.201     brouard  6748: %s_%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
1.222     brouard  6749:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2,      \
                   6750:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6751:                   fprintf(fichtmcov,"\n<br><img src=\"%s_%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6752:                   fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                   6753:                   fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6754:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   6755:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   6756:                   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  6757:                           mu1,std,v11,sqrt(fabs(lc1)),v12,sqrt(fabs(lc2)), \
                   6758:                           mu2,std,v21,sqrt(fabs(lc1)),v22,sqrt(fabs(lc2))); /* For gnuplot only */
1.222     brouard  6759:                 }else{
                   6760:                   first=0;
                   6761:                   fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   6762:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   6763:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   6764:                   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  6765:                           mu1,std,v11,sqrt(lc1),v12,sqrt(fabs(lc2)),   \
                   6766:                           mu2,std,v21,sqrt(lc1),v22,sqrt(fabs(lc2)));
1.222     brouard  6767:                 }/* if first */
                   6768:               } /* age mod 5 */
                   6769:             } /* end loop age */
                   6770:             fprintf(ficgp,"\nset out;\nset out \"%s_%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   6771:             first=1;
                   6772:           } /*l12 */
                   6773:         } /* k12 */
                   6774:        } /*l1 */
                   6775:      }/* k1 */
                   6776:    }  /* loop on combination of covariates j1 */
                   6777:    free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   6778:    free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   6779:    free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   6780:    free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   6781:    free_vector(xp,1,npar);
                   6782:    fclose(ficresprob);
                   6783:    fclose(ficresprobcov);
                   6784:    fclose(ficresprobcor);
                   6785:    fflush(ficgp);
                   6786:    fflush(fichtmcov);
                   6787:  }
1.126     brouard  6788: 
                   6789: 
                   6790: /******************* Printing html file ***********/
1.201     brouard  6791: void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  6792:                  int lastpass, int stepm, int weightopt, char model[],\
                   6793:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
1.258     brouard  6794:                  int popforecast, int mobilav, int prevfcast, int mobilavproj, int backcast, int estepm , \
1.273     brouard  6795:                  double jprev1, double mprev1,double anprev1, double dateprev1, double dateproj1, double dateback1, \
                   6796:                  double jprev2, double mprev2,double anprev2, double dateprev2, double dateproj2, double dateback2){
1.237     brouard  6797:   int jj1, k1, i1, cpt, k4, nres;
1.126     brouard  6798: 
                   6799:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   6800:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   6801: </ul>");
1.237     brouard  6802:    fprintf(fichtm,"<ul><li> model=1+age+%s\n \
                   6803: </ul>", model);
1.214     brouard  6804:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n");
                   6805:    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",
                   6806:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTMFR_",".htm"),subdirfext3(optionfilefiname,"PHTMFR_",".htm"));
                   6807:    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  6808:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTM_",".htm"),subdirfext3(optionfilefiname,"PHTM_",".htm"));
                   6809:    fprintf(fichtm,",  <a href=\"%s\">%s</a> (text file) <br>\n",subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_"));
1.126     brouard  6810:    fprintf(fichtm,"\
                   6811:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
1.201     brouard  6812:           stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_"));
1.126     brouard  6813:    fprintf(fichtm,"\
1.217     brouard  6814:  - Estimated back transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
                   6815:           stepm,subdirf2(fileresu,"PIJB_"),subdirf2(fileresu,"PIJB_"));
                   6816:    fprintf(fichtm,"\
1.288     brouard  6817:  - Period (forward) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  6818:           subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
1.126     brouard  6819:    fprintf(fichtm,"\
1.288     brouard  6820:  - Backward prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.217     brouard  6821:           subdirf2(fileresu,"PLB_"),subdirf2(fileresu,"PLB_"));
                   6822:    fprintf(fichtm,"\
1.211     brouard  6823:  - (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  6824:    <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  6825:           estepm,subdirf2(fileresu,"E_"),subdirf2(fileresu,"E_"));
1.211     brouard  6826:    if(prevfcast==1){
                   6827:      fprintf(fichtm,"\
                   6828:  - Prevalence projections by age and states:                           \
1.201     brouard  6829:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
1.211     brouard  6830:    }
1.126     brouard  6831: 
                   6832: 
1.225     brouard  6833:    m=pow(2,cptcoveff);
1.222     brouard  6834:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  6835: 
1.264     brouard  6836:    fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
                   6837: 
                   6838:    jj1=0;
                   6839: 
                   6840:    fprintf(fichtm," \n<ul>");
                   6841:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   6842:    for(k1=1; k1<=m;k1++){ /* For each combination of covariate */
                   6843:      if(m != 1 && TKresult[nres]!= k1)
                   6844:        continue;
                   6845:      jj1++;
                   6846:      if (cptcovn > 0) {
                   6847:        fprintf(fichtm,"\n<li><a  size=\"1\" color=\"#EC5E5E\" href=\"#rescov");
                   6848:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   6849:         fprintf(fichtm,"_V%d=%d_",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6850:        }
                   6851:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6852:         fprintf(fichtm,"_V%d=%f_",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6853:        }
                   6854:        fprintf(fichtm,"\">");
                   6855:        
                   6856:        /* if(nqfveff+nqtveff 0) */ /* Test to be done */
                   6857:        fprintf(fichtm,"************ Results for covariates");
                   6858:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
                   6859:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6860:        }
                   6861:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6862:         fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6863:        }
                   6864:        if(invalidvarcomb[k1]){
                   6865:         fprintf(fichtm," Warning Combination (%d) ignored because no cases ",k1); 
                   6866:         continue;
                   6867:        }
                   6868:        fprintf(fichtm,"</a></li>");
                   6869:      } /* cptcovn >0 */
                   6870:    }
                   6871:      fprintf(fichtm," \n</ul>");
                   6872: 
1.222     brouard  6873:    jj1=0;
1.237     brouard  6874: 
                   6875:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
1.241     brouard  6876:    for(k1=1; k1<=m;k1++){ /* For each combination of covariate */
1.253     brouard  6877:      if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  6878:        continue;
1.220     brouard  6879: 
1.222     brouard  6880:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   6881:      jj1++;
                   6882:      if (cptcovn > 0) {
1.264     brouard  6883:        fprintf(fichtm,"\n<p><a name=\"rescov");
                   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:        fprintf(fichtm,"\"</a>");
                   6891:  
1.222     brouard  6892:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  6893:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
1.237     brouard  6894:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
                   6895:         printf(" V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);fflush(stdout);
                   6896:         /* fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]); */
                   6897:         /* printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout); */
1.222     brouard  6898:        }
1.237     brouard  6899:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   6900:        fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   6901:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);fflush(stdout);
                   6902:       }
                   6903:        
1.230     brouard  6904:        /* if(nqfveff+nqtveff 0) */ /* Test to be done */
1.222     brouard  6905:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   6906:        if(invalidvarcomb[k1]){
                   6907:         fprintf(fichtm,"\n<h3>Combination (%d) ignored because no cases </h3>\n",k1); 
                   6908:         printf("\nCombination (%d) ignored because no cases \n",k1); 
                   6909:         continue;
                   6910:        }
                   6911:      }
                   6912:      /* aij, bij */
1.259     brouard  6913:      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  6914: <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  6915:      /* Pij */
1.241     brouard  6916:      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> \
                   6917: <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  6918:      /* Quasi-incidences */
                   6919:      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  6920:  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too, \
1.211     brouard  6921:  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  6922: 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> \
                   6923: <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  6924:      /* Survival functions (period) in state j */
                   6925:      for(cpt=1; cpt<=nlstate;cpt++){
1.241     brouard  6926:        fprintf(fichtm,"<br>\n- Survival functions in state %d. Or probability to survive 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> \
                   6927: <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  6928:      }
                   6929:      /* State specific survival functions (period) */
                   6930:      for(cpt=1; cpt<=nlstate;cpt++){
                   6931:        fprintf(fichtm,"<br>\n- Survival functions from state %d in each live state and total.\
1.220     brouard  6932:  Or probability to survive in various states (1 to %d) being in state %d at different ages.    \
1.283     brouard  6933:  <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  6934:      }
1.288     brouard  6935:      /* Period (forward stable) prevalence in each health state */
1.222     brouard  6936:      for(cpt=1; cpt<=nlstate;cpt++){
1.264     brouard  6937:        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> \
                   6938: <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  6939:      }
                   6940:      if(backcast==1){
1.288     brouard  6941:        /* Backward prevalence in each health state */
1.222     brouard  6942:        for(cpt=1; cpt<=nlstate;cpt++){
1.264     brouard  6943:         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  6944: <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  6945:        }
1.217     brouard  6946:      }
1.222     brouard  6947:      if(prevfcast==1){
1.288     brouard  6948:        /* Projection of prevalence up to period (forward stable) prevalence in each health state */
1.222     brouard  6949:        for(cpt=1; cpt<=nlstate;cpt++){
1.288     brouard  6950:         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> \
1.273     brouard  6951: <img src=\"%s_%d-%d-%d.svg\">", dateprev1, dateprev2, mobilavproj, dateproj1, dateproj2, cpt, cpt, nlstate, subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres,subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres,subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres);
1.222     brouard  6952:        }
                   6953:      }
1.268     brouard  6954:      if(backcast==1){
                   6955:       /* Back projection of prevalence up to stable (mixed) back-prevalence in each health state */
                   6956:        for(cpt=1; cpt<=nlstate;cpt++){
1.273     brouard  6957:         fprintf(fichtm,"<br>\n- Back projection of cross-sectional prevalence (estimated with cases observed from %.1f to %.1f and mobil_average=%d), \
                   6958:  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 \
                   6959:  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) \
                   6960: with weights corresponding to observed prevalence at different ages. <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a><br> \
                   6961:  <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  6962:        }
                   6963:      }
1.220     brouard  6964:         
1.222     brouard  6965:      for(cpt=1; cpt<=nlstate;cpt++) {
1.241     brouard  6966:        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> \
                   6967: <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  6968:      }
                   6969:      /* } /\* end i1 *\/ */
                   6970:    }/* End k1 */
                   6971:    fprintf(fichtm,"</ul>");
1.126     brouard  6972: 
1.222     brouard  6973:    fprintf(fichtm,"\
1.126     brouard  6974: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
1.193     brouard  6975:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
1.203     brouard  6976:  - 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  6977: But because parameters are usually highly correlated (a higher incidence of disability \
                   6978: and a higher incidence of recovery can give very close observed transition) it might \
                   6979: be very useful to look not only at linear confidence intervals estimated from the \
                   6980: variances but at the covariance matrix. And instead of looking at the estimated coefficients \
                   6981: (parameters) of the logistic regression, it might be more meaningful to visualize the \
                   6982: covariance matrix of the one-step probabilities. \
                   6983: See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
1.126     brouard  6984: 
1.222     brouard  6985:    fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   6986:           subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_"));
                   6987:    fprintf(fichtm,"\
1.126     brouard  6988:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  6989:           subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_"));
1.126     brouard  6990: 
1.222     brouard  6991:    fprintf(fichtm,"\
1.126     brouard  6992:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  6993:           subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"PROBCOR_"));
                   6994:    fprintf(fichtm,"\
1.126     brouard  6995:  - 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): \
                   6996:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  6997:           estepm,subdirf2(fileresu,"CVE_"),subdirf2(fileresu,"CVE_"));
1.222     brouard  6998:    fprintf(fichtm,"\
1.126     brouard  6999:  - (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): \
                   7000:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  7001:           estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_"));
1.222     brouard  7002:    fprintf(fichtm,"\
1.288     brouard  7003:  - 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  7004:           estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_"));
                   7005:    fprintf(fichtm,"\
1.128     brouard  7006:  - 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  7007:           estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_"));
                   7008:    fprintf(fichtm,"\
1.288     brouard  7009:  - Standard deviation of forward (period) prevalences: <a href=\"%s\">%s</a> <br>\n",\
1.222     brouard  7010:           subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
1.126     brouard  7011: 
                   7012: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   7013: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   7014: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   7015: /*     <br>",fileres,fileres,fileres,fileres); */
                   7016: /*  else  */
                   7017: /*    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  7018:    fflush(fichtm);
                   7019:    fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
1.126     brouard  7020: 
1.225     brouard  7021:    m=pow(2,cptcoveff);
1.222     brouard  7022:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  7023: 
1.222     brouard  7024:    jj1=0;
1.237     brouard  7025: 
1.241     brouard  7026:    for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.222     brouard  7027:    for(k1=1; k1<=m;k1++){
1.253     brouard  7028:      if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7029:        continue;
1.222     brouard  7030:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   7031:      jj1++;
1.126     brouard  7032:      if (cptcovn > 0) {
                   7033:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  7034:        for (cpt=1; cpt<=cptcoveff;cpt++)  /**< cptcoveff number of variables */
1.237     brouard  7035:         fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);
                   7036:         /* fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]); */
                   7037:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7038:        fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7039:       }
                   7040: 
1.126     brouard  7041:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  7042: 
1.222     brouard  7043:        if(invalidvarcomb[k1]){
                   7044:         fprintf(fichtm,"\n<h4>Combination (%d) ignored because no cases </h4>\n",k1); 
                   7045:         continue;
                   7046:        }
1.126     brouard  7047:      }
                   7048:      for(cpt=1; cpt<=nlstate;cpt++) {
1.258     brouard  7049:        fprintf(fichtm,"\n<br>- Observed (cross-sectional with mov_average=%d) and period (incidence based) \
1.241     brouard  7050: 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  7051: <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  7052:      }
                   7053:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.128     brouard  7054: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
                   7055: true period expectancies (those weighted with period prevalences are also\
                   7056:  drawn in addition to the population based expectancies computed using\
1.241     brouard  7057:  observed and cahotic prevalences:  <a href=\"%s_%d-%d.svg\">%s_%d-%d.svg</a>\n<br>\
                   7058: <img src=\"%s_%d-%d.svg\">",subdirf2(optionfilefiname,"E_"),k1,nres,subdirf2(optionfilefiname,"E_"),k1,nres,subdirf2(optionfilefiname,"E_"),k1,nres);
1.222     brouard  7059:      /* } /\* end i1 *\/ */
                   7060:    }/* End k1 */
1.241     brouard  7061:   }/* End nres */
1.222     brouard  7062:    fprintf(fichtm,"</ul>");
                   7063:    fflush(fichtm);
1.126     brouard  7064: }
                   7065: 
                   7066: /******************* Gnuplot file **************/
1.270     brouard  7067: void printinggnuplot(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double bage, double fage , int prevfcast, int backcast, char pathc[], double p[], int offyear, int offbyear){
1.126     brouard  7068: 
                   7069:   char dirfileres[132],optfileres[132];
1.264     brouard  7070:   char gplotcondition[132], gplotlabel[132];
1.237     brouard  7071:   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  7072:   int lv=0, vlv=0, kl=0;
1.130     brouard  7073:   int ng=0;
1.201     brouard  7074:   int vpopbased;
1.223     brouard  7075:   int ioffset; /* variable offset for columns */
1.270     brouard  7076:   int iyearc=1; /* variable column for year of projection  */
                   7077:   int iagec=1; /* variable column for age of projection  */
1.235     brouard  7078:   int nres=0; /* Index of resultline */
1.266     brouard  7079:   int istart=1; /* For starting graphs in projections */
1.219     brouard  7080: 
1.126     brouard  7081: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   7082: /*     printf("Problem with file %s",optionfilegnuplot); */
                   7083: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   7084: /*   } */
                   7085: 
                   7086:   /*#ifdef windows */
                   7087:   fprintf(ficgp,"cd \"%s\" \n",pathc);
1.223     brouard  7088:   /*#endif */
1.225     brouard  7089:   m=pow(2,cptcoveff);
1.126     brouard  7090: 
1.274     brouard  7091:   /* diagram of the model */
                   7092:   fprintf(ficgp,"\n#Diagram of the model \n");
                   7093:   fprintf(ficgp,"\ndelta=0.03;delta2=0.07;unset arrow;\n");
                   7094:   fprintf(ficgp,"yoff=(%d > 2? 0:1);\n",nlstate);
                   7095:   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);
                   7096: 
                   7097:   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);
                   7098:   fprintf(ficgp,"\n#show arrow\nunset label\n");
                   7099:   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);
                   7100:   fprintf(ficgp,"\nset label %d+1 sprintf(\"State %%d\",%d+1) center at 0.,0.  font \"helvetica, 16\" tc rgbcolor \"red\"\n",nlstate,nlstate);
                   7101:   fprintf(ficgp,"\n#show label\nunset border;unset xtics; unset ytics;\n");
                   7102:   fprintf(ficgp,"\n\nset ter svg size 640, 480;set out \"%s_.svg\" \n",subdirf2(optionfilefiname,"D_"));
                   7103:   fprintf(ficgp,"unset log y; plot [-1.2:1.2][yoff-1.2:1.2] 1/0 not; set out;reset;\n");
                   7104: 
1.202     brouard  7105:   /* Contribution to likelihood */
                   7106:   /* Plot the probability implied in the likelihood */
1.223     brouard  7107:   fprintf(ficgp,"\n# Contributions to the Likelihood, mle >=1. For mle=4 no interpolation, pure matrix products.\n#\n");
                   7108:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Likelihood (-2Log(L))\";");
                   7109:   /* fprintf(ficgp,"\nset ter svg size 640, 480"); */ /* Too big for svg */
                   7110:   fprintf(ficgp,"\nset ter pngcairo size 640, 480");
1.204     brouard  7111: /* nice for mle=4 plot by number of matrix products.
1.202     brouard  7112:    replot  "rrtest1/toto.txt" u 2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with point lc 1 */
                   7113: /* replot exp(p1+p2*x)/(1+exp(p1+p2*x)+exp(p3+p4*x)+exp(p5+p6*x)) t "p12(x)"  */
1.223     brouard  7114:   /* fprintf(ficgp,"\nset out \"%s.svg\";",subdirf2(optionfilefiname,"ILK_")); */
                   7115:   fprintf(ficgp,"\nset out \"%s-dest.png\";",subdirf2(optionfilefiname,"ILK_"));
                   7116:   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));
                   7117:   fprintf(ficgp,"\nset out \"%s-ori.png\";",subdirf2(optionfilefiname,"ILK_"));
                   7118:   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));
                   7119:   for (i=1; i<= nlstate ; i ++) {
                   7120:     fprintf(ficgp,"\nset out \"%s-p%dj.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i);
                   7121:     fprintf(ficgp,"unset log;\n# plot weighted, mean weight should have point size of 0.5\n plot  \"%s\"",subdirf(fileresilk));
                   7122:     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);
                   7123:     for (j=2; j<= nlstate+ndeath ; j ++) {
                   7124:       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);
                   7125:     }
                   7126:     fprintf(ficgp,";\nset out; unset ylabel;\n"); 
                   7127:   }
                   7128:   /* 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 */               
                   7129:   /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
                   7130:   /* fprintf(ficgp,"\nreplot  \"%s\" u 2:($3 <= 3 ? -$11 : 1/0):3 t \"First 3 individuals\" with line lc variable", subdirf(fileresilk)); */
                   7131:   fprintf(ficgp,"\nset out;unset log\n");
                   7132:   /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
1.202     brouard  7133: 
1.126     brouard  7134:   strcpy(dirfileres,optionfilefiname);
                   7135:   strcpy(optfileres,"vpl");
1.223     brouard  7136:   /* 1eme*/
1.238     brouard  7137:   for (cpt=1; cpt<= nlstate ; cpt ++){ /* For each live state */
                   7138:     for (k1=1; k1<= m ; k1 ++){ /* For each valid combination of covariate */
1.236     brouard  7139:       for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.238     brouard  7140:        /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
1.253     brouard  7141:        if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7142:          continue;
                   7143:        /* We are interested in selected combination by the resultline */
1.246     brouard  7144:        /* printf("\n# 1st: Period (stable) prevalence with CI: 'VPL_' files and live state =%d ", cpt); */
1.288     brouard  7145:        fprintf(ficgp,"\n# 1st: Forward (stable period) prevalence with CI: 'VPL_' files  and live state =%d ", cpt);
1.264     brouard  7146:        strcpy(gplotlabel,"(");
1.238     brouard  7147:        for (k=1; k<=cptcoveff; k++){    /* For each covariate k get corresponding value lv for combination k1 */
                   7148:          lv= decodtabm(k1,k,cptcoveff); /* Should be the value of the covariate corresponding to k1 combination */
                   7149:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7150:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7151:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7152:          vlv= nbcode[Tvaraff[k]][lv]; /* vlv is the value of the covariate lv, 0 or 1 */
                   7153:          /* For each combination of covariate k1 (V1=1, V3=0), we printed the current covariate k and its value vlv */
1.246     brouard  7154:          /* printf(" V%d=%d ",Tvaraff[k],vlv); */
1.238     brouard  7155:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7156:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7157:        }
                   7158:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.246     brouard  7159:          /* printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
1.238     brouard  7160:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7161:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7162:        }
                   7163:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.246     brouard  7164:        /* printf("\n#\n"); */
1.238     brouard  7165:        fprintf(ficgp,"\n#\n");
                   7166:        if(invalidvarcomb[k1]){
1.260     brouard  7167:           /*k1=k1-1;*/ /* To be checked */
1.238     brouard  7168:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7169:          continue;
                   7170:        }
1.235     brouard  7171:       
1.241     brouard  7172:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1,nres);
                   7173:        fprintf(ficgp,"\n#set out \"V_%s_%d-%d-%d.svg\" \n",optionfilefiname,cpt,k1,nres);
1.276     brouard  7174:        /* fprintf(ficgp,"set label \"Alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel); */
                   7175:        fprintf(ficgp,"set title \"Alive state %d %s\" font \"Helvetica,12\"\n",cpt,gplotlabel);
1.260     brouard  7176:        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);
                   7177:        /* 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); */
                   7178:       /* k1-1 error should be nres-1*/
1.238     brouard  7179:        for (i=1; i<= nlstate ; i ++) {
                   7180:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7181:          else        fprintf(ficgp," %%*lf (%%*lf)");
                   7182:        }
1.288     brouard  7183:        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  7184:        for (i=1; i<= nlstate ; i ++) {
                   7185:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7186:          else fprintf(ficgp," %%*lf (%%*lf)");
                   7187:        } 
1.260     brouard  7188:        fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2==%d ? $3-1.96*$4 : 1/0) \"%%lf %%lf",subdirf2(fileresu,"VPL_"),nres-1,nres-1,nres); 
1.238     brouard  7189:        for (i=1; i<= nlstate ; i ++) {
                   7190:          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7191:          else fprintf(ficgp," %%*lf (%%*lf)");
                   7192:        }  
1.265     brouard  7193:        /* fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence\" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1)); */
                   7194:        
                   7195:        fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" u 1:((",subdirf2(fileresu,"P_"));
                   7196:         if(cptcoveff ==0){
1.271     brouard  7197:          fprintf(ficgp,"$%d)) t 'Observed prevalence in state %d' with line lt 3",      2+3*(cpt-1),  cpt );
1.265     brouard  7198:        }else{
                   7199:          kl=0;
                   7200:          for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
                   7201:            lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7202:            /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7203:            /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7204:            /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7205:            vlv= nbcode[Tvaraff[k]][lv];
                   7206:            kl++;
                   7207:            /* 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 *\/ */
                   7208:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7209:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7210:            /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
                   7211:            if(k==cptcoveff){
                   7212:              fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Observed prevalence in state %d' w l lt 2",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
                   7213:                      2+cptcoveff*2+3*(cpt-1),  cpt );  /* 4 or 6 ?*/
                   7214:            }else{
                   7215:              fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                   7216:              kl++;
                   7217:            }
                   7218:          } /* end covariate */
                   7219:        } /* end if no covariate */
                   7220: 
1.238     brouard  7221:        if(backcast==1){ /* We need to get the corresponding values of the covariates involved in this combination k1 */
                   7222:          /* fprintf(ficgp,",\"%s\" every :::%d::%d u 1:($%d) t\"Backward stable prevalence\" w l lt 3",subdirf2(fileresu,"PLB_"),k1-1,k1-1,1+cpt); */
1.242     brouard  7223:          fprintf(ficgp,",\"%s\" u 1:((",subdirf2(fileresu,"PLB_")); /* Age is in 1, nres in 2 to be fixed */
1.238     brouard  7224:          if(cptcoveff ==0){
1.245     brouard  7225:            fprintf(ficgp,"$%d)) t 'Backward prevalence in state %d' with line lt 3",    2+(cpt-1),  cpt );
1.238     brouard  7226:          }else{
                   7227:            kl=0;
                   7228:            for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
                   7229:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7230:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7231:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7232:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7233:              vlv= nbcode[Tvaraff[k]][lv];
1.223     brouard  7234:              kl++;
1.238     brouard  7235:              /* 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 *\/ */
                   7236:              /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7237:              /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7238:              /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
                   7239:              if(k==cptcoveff){
1.245     brouard  7240:                fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Backward prevalence in state %d' w l lt 3",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
1.242     brouard  7241:                        2+cptcoveff*2+(cpt-1),  cpt );  /* 4 or 6 ?*/
1.238     brouard  7242:              }else{
                   7243:                fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                   7244:                kl++;
                   7245:              }
                   7246:            } /* end covariate */
                   7247:          } /* end if no covariate */
1.268     brouard  7248:          if(backcast == 1){
                   7249:            fprintf(ficgp,", \"%s\" every :::%d::%d u 1:($2==%d ? $3:1/0) \"%%lf %%lf",subdirf2(fileresu,"VBL_"),nres-1,nres-1,nres);
                   7250:            /* k1-1 error should be nres-1*/
                   7251:            for (i=1; i<= nlstate ; i ++) {
                   7252:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7253:              else        fprintf(ficgp," %%*lf (%%*lf)");
                   7254:            }
1.271     brouard  7255:            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  7256:            for (i=1; i<= nlstate ; i ++) {
                   7257:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7258:              else fprintf(ficgp," %%*lf (%%*lf)");
                   7259:            } 
1.276     brouard  7260:            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  7261:            for (i=1; i<= nlstate ; i ++) {
                   7262:              if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   7263:              else fprintf(ficgp," %%*lf (%%*lf)");
                   7264:            } 
1.274     brouard  7265:            fprintf(ficgp,"\" t\"\" w l lt 4");
1.268     brouard  7266:          } /* end if backprojcast */
1.238     brouard  7267:        } /* end if backcast */
1.276     brouard  7268:        /* fprintf(ficgp,"\nset out ;unset label;\n"); */
                   7269:        fprintf(ficgp,"\nset out ;unset title;\n");
1.238     brouard  7270:       } /* nres */
1.201     brouard  7271:     } /* k1 */
                   7272:   } /* cpt */
1.235     brouard  7273: 
                   7274:   
1.126     brouard  7275:   /*2 eme*/
1.238     brouard  7276:   for (k1=1; k1<= m ; k1 ++){  
                   7277:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7278:       if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7279:        continue;
                   7280:       fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files ");
1.264     brouard  7281:       strcpy(gplotlabel,"(");
1.238     brouard  7282:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.225     brouard  7283:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  7284:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7285:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7286:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7287:        vlv= nbcode[Tvaraff[k]][lv];
                   7288:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7289:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  7290:       }
1.237     brouard  7291:       /* for(k=1; k <= ncovds; k++){ */
1.236     brouard  7292:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.238     brouard  7293:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.236     brouard  7294:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7295:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7296:       }
1.264     brouard  7297:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.211     brouard  7298:       fprintf(ficgp,"\n#\n");
1.223     brouard  7299:       if(invalidvarcomb[k1]){
                   7300:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7301:        continue;
                   7302:       }
1.219     brouard  7303:                        
1.241     brouard  7304:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"E_"),k1,nres);
1.238     brouard  7305:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.264     brouard  7306:        fprintf(ficgp,"\nset label \"popbased %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",vpopbased,gplotlabel);
                   7307:        if(vpopbased==0){
1.238     brouard  7308:          fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
1.264     brouard  7309:        }else
1.238     brouard  7310:          fprintf(ficgp,"\nreplot ");
                   7311:        for (i=1; i<= nlstate+1 ; i ++) {
                   7312:          k=2*i;
1.261     brouard  7313:          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  7314:          for (j=1; j<= nlstate+1 ; j ++) {
                   7315:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7316:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7317:          }   
                   7318:          if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l lt %d, \\\n",i);
                   7319:          else fprintf(ficgp,"\" t\"LE in state (%d)\" w l lt %d, \\\n",i-1,i+1);
1.261     brouard  7320:          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  7321:          for (j=1; j<= nlstate+1 ; j ++) {
                   7322:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7323:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7324:          }   
                   7325:          fprintf(ficgp,"\" t\"\" w l lt 0,");
1.261     brouard  7326:          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  7327:          for (j=1; j<= nlstate+1 ; j ++) {
                   7328:            if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   7329:            else fprintf(ficgp," %%*lf (%%*lf)");
                   7330:          }   
                   7331:          if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   7332:          else fprintf(ficgp,"\" t\"\" w l lt 0,\\\n");
                   7333:        } /* state */
                   7334:       } /* vpopbased */
1.264     brouard  7335:       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  7336:     } /* end nres */
                   7337:   } /* k1 end 2 eme*/
                   7338:        
                   7339:        
                   7340:   /*3eme*/
                   7341:   for (k1=1; k1<= m ; k1 ++){
                   7342:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7343:       if(m != 1 && TKresult[nres]!= k1)
1.238     brouard  7344:        continue;
                   7345: 
                   7346:       for (cpt=1; cpt<= nlstate ; cpt ++) {
1.261     brouard  7347:        fprintf(ficgp,"\n\n# 3d: Life expectancy with EXP_ files:  combination=%d state=%d",k1, cpt);
1.264     brouard  7348:        strcpy(gplotlabel,"(");
1.238     brouard  7349:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7350:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7351:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7352:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7353:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7354:          vlv= nbcode[Tvaraff[k]][lv];
                   7355:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7356:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7357:        }
                   7358:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7359:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7360:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7361:        }       
1.264     brouard  7362:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7363:        fprintf(ficgp,"\n#\n");
                   7364:        if(invalidvarcomb[k1]){
                   7365:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7366:          continue;
                   7367:        }
                   7368:                        
                   7369:        /*       k=2+nlstate*(2*cpt-2); */
                   7370:        k=2+(nlstate+1)*(cpt-1);
1.241     brouard  7371:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres);
1.264     brouard  7372:        fprintf(ficgp,"set label \"%s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",gplotlabel);
1.238     brouard  7373:        fprintf(ficgp,"set ter svg size 640, 480\n\
1.261     brouard  7374: 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  7375:        /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   7376:          for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   7377:          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   7378:          fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   7379:          for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   7380:          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
1.219     brouard  7381:                                
1.238     brouard  7382:        */
                   7383:        for (i=1; i< nlstate ; i ++) {
1.261     brouard  7384:          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  7385:          /*    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  7386:                                
1.238     brouard  7387:        } 
1.261     brouard  7388:        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  7389:       }
1.264     brouard  7390:       fprintf(ficgp,"\nunset label;\n");
1.238     brouard  7391:     } /* end nres */
                   7392:   } /* end kl 3eme */
1.126     brouard  7393:   
1.223     brouard  7394:   /* 4eme */
1.201     brouard  7395:   /* Survival functions (period) from state i in state j by initial state i */
1.238     brouard  7396:   for (k1=1; k1<=m; k1++){    /* For each covariate and each value */
                   7397:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7398:       if(m != 1 && TKresult[nres]!= k1)
1.223     brouard  7399:        continue;
1.238     brouard  7400:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state cpt*/
1.264     brouard  7401:        strcpy(gplotlabel,"(");
1.238     brouard  7402:        fprintf(ficgp,"\n#\n#\n# Survival functions in state j : 'LIJ_' files, cov=%d state=%d",k1, cpt);
                   7403:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7404:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7405:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7406:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7407:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7408:          vlv= nbcode[Tvaraff[k]][lv];
                   7409:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7410:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7411:        }
                   7412:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7413:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7414:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7415:        }       
1.264     brouard  7416:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7417:        fprintf(ficgp,"\n#\n");
                   7418:        if(invalidvarcomb[k1]){
                   7419:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7420:          continue;
1.223     brouard  7421:        }
1.238     brouard  7422:       
1.241     brouard  7423:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres);
1.264     brouard  7424:        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  7425:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   7426: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7427:        k=3;
                   7428:        for (i=1; i<= nlstate ; i ++){
                   7429:          if(i==1){
                   7430:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7431:          }else{
                   7432:            fprintf(ficgp,", '' ");
                   7433:          }
                   7434:          l=(nlstate+ndeath)*(i-1)+1;
                   7435:          fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   7436:          for (j=2; j<= nlstate+ndeath ; j ++)
                   7437:            fprintf(ficgp,"+$%d",k+l+j-1);
                   7438:          fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
                   7439:        } /* nlstate */
1.264     brouard  7440:        fprintf(ficgp,"\nset out; unset label;\n");
1.238     brouard  7441:       } /* end cpt state*/ 
                   7442:     } /* end nres */
                   7443:   } /* end covariate k1 */  
                   7444: 
1.220     brouard  7445: /* 5eme */
1.201     brouard  7446:   /* Survival functions (period) from state i in state j by final state j */
1.238     brouard  7447:   for (k1=1; k1<= m ; k1++){ /* For each covariate combination if any */
                   7448:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7449:       if(m != 1 && TKresult[nres]!= k1)
1.227     brouard  7450:        continue;
1.238     brouard  7451:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each inital state  */
1.264     brouard  7452:        strcpy(gplotlabel,"(");
1.238     brouard  7453:        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);
                   7454:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7455:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7456:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7457:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7458:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7459:          vlv= nbcode[Tvaraff[k]][lv];
                   7460:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7461:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.238     brouard  7462:        }
                   7463:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7464:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7465:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.238     brouard  7466:        }       
1.264     brouard  7467:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.238     brouard  7468:        fprintf(ficgp,"\n#\n");
                   7469:        if(invalidvarcomb[k1]){
                   7470:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7471:          continue;
                   7472:        }
1.227     brouard  7473:       
1.241     brouard  7474:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres);
1.264     brouard  7475:        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  7476:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   7477: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7478:        k=3;
                   7479:        for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   7480:          if(j==1)
                   7481:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7482:          else
                   7483:            fprintf(ficgp,", '' ");
                   7484:          l=(nlstate+ndeath)*(cpt-1) +j;
                   7485:          fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):($%d",k1,k+l);
                   7486:          /* for (i=2; i<= nlstate+ndeath ; i ++) */
                   7487:          /*   fprintf(ficgp,"+$%d",k+l+i-1); */
                   7488:          fprintf(ficgp,") t \"l(%d,%d)\" w l",cpt,j);
                   7489:        } /* nlstate */
                   7490:        fprintf(ficgp,", '' ");
                   7491:        fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):(",k1);
                   7492:        for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   7493:          l=(nlstate+ndeath)*(cpt-1) +j;
                   7494:          if(j < nlstate)
                   7495:            fprintf(ficgp,"$%d +",k+l);
                   7496:          else
                   7497:            fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
                   7498:        }
1.264     brouard  7499:        fprintf(ficgp,"\nset out; unset label;\n");
1.238     brouard  7500:       } /* end cpt state*/ 
                   7501:     } /* end covariate */  
                   7502:   } /* end nres */
1.227     brouard  7503:   
1.220     brouard  7504: /* 6eme */
1.202     brouard  7505:   /* CV preval stable (period) for each covariate */
1.237     brouard  7506:   for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7507:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7508:     if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7509:       continue;
1.255     brouard  7510:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state of arrival */
1.264     brouard  7511:       strcpy(gplotlabel,"(");      
1.288     brouard  7512:       fprintf(ficgp,"\n#\n#\n#CV preval stable (forward): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
1.225     brouard  7513:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.227     brouard  7514:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7515:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7516:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7517:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7518:        vlv= nbcode[Tvaraff[k]][lv];
                   7519:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7520:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  7521:       }
1.237     brouard  7522:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7523:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7524:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7525:       }        
1.264     brouard  7526:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.211     brouard  7527:       fprintf(ficgp,"\n#\n");
1.223     brouard  7528:       if(invalidvarcomb[k1]){
1.227     brouard  7529:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7530:        continue;
1.223     brouard  7531:       }
1.227     brouard  7532:       
1.241     brouard  7533:       fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"P_"),cpt,k1,nres);
1.264     brouard  7534:       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  7535:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.238     brouard  7536: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  7537:       k=3; /* Offset */
1.255     brouard  7538:       for (i=1; i<= nlstate ; i ++){ /* State of origin */
1.227     brouard  7539:        if(i==1)
                   7540:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   7541:        else
                   7542:          fprintf(ficgp,", '' ");
1.255     brouard  7543:        l=(nlstate+ndeath)*(i-1)+1; /* 1, 1+ nlstate+ndeath, 1+2*(nlstate+ndeath) */
1.227     brouard  7544:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   7545:        for (j=2; j<= nlstate ; j ++)
                   7546:          fprintf(ficgp,"+$%d",k+l+j-1);
                   7547:        fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
1.153     brouard  7548:       } /* nlstate */
1.264     brouard  7549:       fprintf(ficgp,"\nset out; unset label;\n");
1.153     brouard  7550:     } /* end cpt state*/ 
                   7551:   } /* end covariate */  
1.227     brouard  7552:   
                   7553:   
1.220     brouard  7554: /* 7eme */
1.218     brouard  7555:   if(backcast == 1){
1.288     brouard  7556:     /* CV backward prevalence  for each covariate */
1.237     brouard  7557:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7558:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7559:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7560:        continue;
1.268     brouard  7561:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life origin state */
1.264     brouard  7562:        strcpy(gplotlabel,"(");      
1.288     brouard  7563:        fprintf(ficgp,"\n#\n#\n#CV Backward stable prevalence: 'pijb' files, covariatecombination#=%d state=%d",k1, cpt);
1.227     brouard  7564:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   7565:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   7566:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7567:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
1.223     brouard  7568:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
1.227     brouard  7569:          vlv= nbcode[Tvaraff[k]][lv];
                   7570:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7571:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.227     brouard  7572:        }
1.237     brouard  7573:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7574:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7575:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7576:        }       
1.264     brouard  7577:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.227     brouard  7578:        fprintf(ficgp,"\n#\n");
                   7579:        if(invalidvarcomb[k1]){
                   7580:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7581:          continue;
                   7582:        }
                   7583:        
1.241     brouard  7584:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PB_"),cpt,k1,nres);
1.268     brouard  7585:        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  7586:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.238     brouard  7587: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.227     brouard  7588:        k=3; /* Offset */
1.268     brouard  7589:        for (i=1; i<= nlstate ; i ++){ /* State of arrival */
1.227     brouard  7590:          if(i==1)
                   7591:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJB_"));
                   7592:          else
                   7593:            fprintf(ficgp,", '' ");
                   7594:          /* l=(nlstate+ndeath)*(i-1)+1; */
1.255     brouard  7595:          l=(nlstate+ndeath)*(cpt-1)+1; /* fixed for i; cpt=1 1, cpt=2 1+ nlstate+ndeath, 1+2*(nlstate+ndeath) */
1.227     brouard  7596:          /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l); /\* a vérifier *\/ */
                   7597:          /* 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  7598:          fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d",k1,k+l+i-1); /* To be verified */
1.227     brouard  7599:          /* for (j=2; j<= nlstate ; j ++) */
                   7600:          /*    fprintf(ficgp,"+$%d",k+l+j-1); */
                   7601:          /*    /\* fprintf(ficgp,"+$%d",k+l+j-1); *\/ */
1.268     brouard  7602:          fprintf(ficgp,") t \"bprev(%d,%d)\" w l",cpt,i);
1.227     brouard  7603:        } /* nlstate */
1.264     brouard  7604:        fprintf(ficgp,"\nset out; unset label;\n");
1.218     brouard  7605:       } /* end cpt state*/ 
                   7606:     } /* end covariate */  
                   7607:   } /* End if backcast */
                   7608:   
1.223     brouard  7609:   /* 8eme */
1.218     brouard  7610:   if(prevfcast==1){
1.288     brouard  7611:     /* Projection from cross-sectional to forward stable (period) prevalence for each covariate */
1.218     brouard  7612:     
1.237     brouard  7613:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7614:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  7615:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7616:        continue;
1.211     brouard  7617:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.264     brouard  7618:        strcpy(gplotlabel,"(");      
1.288     brouard  7619:        fprintf(ficgp,"\n#\n#\n#Projection of prevalence to forward stable prevalence (period): 'PROJ_' files, covariatecombination#=%d state=%d",k1, cpt);
1.227     brouard  7620:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   7621:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7622:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7623:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7624:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7625:          vlv= nbcode[Tvaraff[k]][lv];
                   7626:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.264     brouard  7627:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
1.227     brouard  7628:        }
1.237     brouard  7629:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7630:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7631:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7632:        }       
1.264     brouard  7633:        strcpy(gplotlabel+strlen(gplotlabel),")");
1.227     brouard  7634:        fprintf(ficgp,"\n#\n");
                   7635:        if(invalidvarcomb[k1]){
                   7636:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7637:          continue;
                   7638:        }
                   7639:        
                   7640:        fprintf(ficgp,"# hpijx=probability over h years, hp.jx is weighted by observed prev\n ");
1.241     brouard  7641:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres);
1.264     brouard  7642:        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  7643:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
1.238     brouard  7644: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
1.266     brouard  7645: 
                   7646:        /* for (i=1; i<= nlstate+1 ; i ++){  /\* nlstate +1 p11 p21 p.1 *\/ */
                   7647:        istart=nlstate+1; /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7648:        /*istart=1;*/ /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7649:        for (i=istart; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
1.227     brouard  7650:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7651:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   7652:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7653:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
1.266     brouard  7654:          if(i==istart){
1.227     brouard  7655:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"F_"));
                   7656:          }else{
                   7657:            fprintf(ficgp,",\\\n '' ");
                   7658:          }
                   7659:          if(cptcoveff ==0){ /* No covariate */
                   7660:            ioffset=2; /* Age is in 2 */
                   7661:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7662:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7663:            /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7664:            /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7665:            fprintf(ficgp," u %d:(", ioffset); 
1.266     brouard  7666:            if(i==nlstate+1){
1.270     brouard  7667:              fprintf(ficgp," $%d/(1.-$%d)):1 t 'pw.%d' with line lc variable ",        \
1.266     brouard  7668:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   7669:              fprintf(ficgp,",\\\n '' ");
                   7670:              fprintf(ficgp," u %d:(",ioffset); 
1.270     brouard  7671:              fprintf(ficgp," (($1-$2) == %d ) ? $%d/(1.-$%d) : 1/0):1 with labels center not ", \
1.266     brouard  7672:                     offyear,                           \
1.268     brouard  7673:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate );
1.266     brouard  7674:            }else
1.227     brouard  7675:              fprintf(ficgp," $%d/(1.-$%d)) t 'p%d%d' with line ",      \
                   7676:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   7677:          }else{ /* more than 2 covariates */
1.270     brouard  7678:            ioffset=2*cptcoveff+2; /* Age is in 4 or 6 or etc.*/
                   7679:            /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7680:            /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
                   7681:            iyearc=ioffset-1;
                   7682:            iagec=ioffset;
1.227     brouard  7683:            fprintf(ficgp," u %d:(",ioffset); 
                   7684:            kl=0;
                   7685:            strcpy(gplotcondition,"(");
                   7686:            for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                   7687:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
                   7688:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7689:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7690:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7691:              vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   7692:              kl++;
                   7693:              sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                   7694:              kl++;
                   7695:              if(k <cptcoveff && cptcoveff>1)
                   7696:                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   7697:            }
                   7698:            strcpy(gplotcondition+strlen(gplotcondition),")");
                   7699:            /* 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 *\/ */
                   7700:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7701:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7702:            /* ''  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*/
                   7703:            if(i==nlstate+1){
1.270     brouard  7704:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0):%d t 'p.%d' with line lc variable", gplotcondition, \
                   7705:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,iyearc, cpt );
1.266     brouard  7706:              fprintf(ficgp,",\\\n '' ");
1.270     brouard  7707:              fprintf(ficgp," u %d:(",iagec); 
                   7708:              fprintf(ficgp,"%s && (($%d-$%d) == %d ) ? $%d/(1.-$%d) : 1/0):%d with labels center not ", gplotcondition, \
                   7709:                      iyearc, iagec, offyear,                           \
                   7710:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate, iyearc );
1.266     brouard  7711: /*  '' 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  7712:            }else{
                   7713:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \
                   7714:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), ioffset +1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   7715:            }
                   7716:          } /* end if covariate */
                   7717:        } /* nlstate */
1.264     brouard  7718:        fprintf(ficgp,"\nset out; unset label;\n");
1.223     brouard  7719:       } /* end cpt state*/
                   7720:     } /* end covariate */
                   7721:   } /* End if prevfcast */
1.227     brouard  7722:   
1.268     brouard  7723:   if(backcast==1){
                   7724:     /* Back projection from cross-sectional to stable (mixed) for each covariate */
                   7725:     
                   7726:     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
                   7727:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   7728:       if(m != 1 && TKresult[nres]!= k1)
                   7729:        continue;
                   7730:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
                   7731:        strcpy(gplotlabel,"(");      
                   7732:        fprintf(ficgp,"\n#\n#\n#Back projection of prevalence to stable (mixed) back prevalence: 'BPROJ_' files, covariatecombination#=%d originstate=%d",k1, cpt);
                   7733:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   7734:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7735:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7736:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7737:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7738:          vlv= nbcode[Tvaraff[k]][lv];
                   7739:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   7740:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
                   7741:        }
                   7742:        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7743:          fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7744:          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   7745:        }       
                   7746:        strcpy(gplotlabel+strlen(gplotlabel),")");
                   7747:        fprintf(ficgp,"\n#\n");
                   7748:        if(invalidvarcomb[k1]){
                   7749:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   7750:          continue;
                   7751:        }
                   7752:        
                   7753:        fprintf(ficgp,"# hbijx=backprobability over h years, hb.jx is weighted by observed prev at destination state\n ");
                   7754:        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres);
                   7755:        fprintf(ficgp,"set label \"Origin alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
                   7756:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
                   7757: set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
                   7758: 
                   7759:        /* for (i=1; i<= nlstate+1 ; i ++){  /\* nlstate +1 p11 p21 p.1 *\/ */
                   7760:        istart=nlstate+1; /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7761:        /*istart=1;*/ /* Could be one if by state, but nlstate+1 is w.i projection only */
                   7762:        for (i=istart; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
                   7763:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7764:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   7765:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7766:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   7767:          if(i==istart){
                   7768:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"FB_"));
                   7769:          }else{
                   7770:            fprintf(ficgp,",\\\n '' ");
                   7771:          }
                   7772:          if(cptcoveff ==0){ /* No covariate */
                   7773:            ioffset=2; /* Age is in 2 */
                   7774:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7775:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7776:            /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   7777:            /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   7778:            fprintf(ficgp," u %d:(", ioffset); 
                   7779:            if(i==nlstate+1){
1.270     brouard  7780:              fprintf(ficgp," $%d/(1.-$%d)):1 t 'bw%d' with line lc variable ", \
1.268     brouard  7781:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   7782:              fprintf(ficgp,",\\\n '' ");
                   7783:              fprintf(ficgp," u %d:(",ioffset); 
1.270     brouard  7784:              fprintf(ficgp," (($1-$2) == %d ) ? $%d : 1/0):1 with labels center not ", \
1.268     brouard  7785:                     offbyear,                          \
                   7786:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1) );
                   7787:            }else
                   7788:              fprintf(ficgp," $%d/(1.-$%d)) t 'b%d%d' with line ",      \
                   7789:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt,i );
                   7790:          }else{ /* more than 2 covariates */
1.270     brouard  7791:            ioffset=2*cptcoveff+2; /* Age is in 4 or 6 or etc.*/
                   7792:            /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   7793:            /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
                   7794:            iyearc=ioffset-1;
                   7795:            iagec=ioffset;
1.268     brouard  7796:            fprintf(ficgp," u %d:(",ioffset); 
                   7797:            kl=0;
                   7798:            strcpy(gplotcondition,"(");
                   7799:            for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                   7800:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
                   7801:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7802:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7803:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7804:              vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   7805:              kl++;
                   7806:              sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                   7807:              kl++;
                   7808:              if(k <cptcoveff && cptcoveff>1)
                   7809:                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   7810:            }
                   7811:            strcpy(gplotcondition+strlen(gplotcondition),")");
                   7812:            /* 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 *\/ */
                   7813:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   7814:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   7815:            /* ''  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*/
                   7816:            if(i==nlstate+1){
1.270     brouard  7817:              fprintf(ficgp,"%s ? $%d : 1/0):%d t 'bw%d' with line lc variable", gplotcondition, \
                   7818:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),iyearc,cpt );
1.268     brouard  7819:              fprintf(ficgp,",\\\n '' ");
1.270     brouard  7820:              fprintf(ficgp," u %d:(",iagec); 
1.268     brouard  7821:              /* fprintf(ficgp,"%s && (($5-$6) == %d ) ? $%d/(1.-$%d) : 1/0):5 with labels center not ", gplotcondition, \ */
1.270     brouard  7822:              fprintf(ficgp,"%s && (($%d-$%d) == %d ) ? $%d : 1/0):%d with labels center not ", gplotcondition, \
                   7823:                      iyearc,iagec,offbyear,                            \
                   7824:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), iyearc );
1.268     brouard  7825: /*  '' u 6:(($1==1 && $2==0  && $3==2 && $4==0) && (($5-$6) == 1947) ? $10/(1.-$22) : 1/0):5 with labels center boxed not*/
                   7826:            }else{
                   7827:              /* fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \ */
                   7828:              fprintf(ficgp,"%s ? $%d : 1/0) t 'b%d%d' with line ", gplotcondition, \
                   7829:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), cpt,i );
                   7830:            }
                   7831:          } /* end if covariate */
                   7832:        } /* nlstate */
                   7833:        fprintf(ficgp,"\nset out; unset label;\n");
                   7834:       } /* end cpt state*/
                   7835:     } /* end covariate */
                   7836:   } /* End if backcast */
                   7837:   
1.227     brouard  7838:   
1.238     brouard  7839:   /* 9eme writing MLE parameters */
                   7840:   fprintf(ficgp,"\n##############\n#9eme MLE estimated parameters\n#############\n");
1.126     brouard  7841:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  7842:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  7843:     for(k=1; k <=(nlstate+ndeath); k++){
                   7844:       if (k != i) {
1.227     brouard  7845:        fprintf(ficgp,"#   current state %d\n",k);
                   7846:        for(j=1; j <=ncovmodel; j++){
                   7847:          fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
                   7848:          jk++; 
                   7849:        }
                   7850:        fprintf(ficgp,"\n");
1.126     brouard  7851:       }
                   7852:     }
1.223     brouard  7853:   }
1.187     brouard  7854:   fprintf(ficgp,"##############\n#\n");
1.227     brouard  7855:   
1.145     brouard  7856:   /*goto avoid;*/
1.238     brouard  7857:   /* 10eme Graphics of probabilities or incidences using written MLE parameters */
                   7858:   fprintf(ficgp,"\n##############\n#10eme Graphics of probabilities or incidences\n#############\n");
1.187     brouard  7859:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   7860:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   7861:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   7862:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   7863:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   7864:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   7865:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   7866:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   7867:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   7868:   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   7869:   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
                   7870:   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   7871:   fprintf(ficgp,"#\n");
1.223     brouard  7872:   for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
1.238     brouard  7873:     fprintf(ficgp,"#Number of graphics: first is logit, 2nd is probabilities, third is incidences per year\n");
1.237     brouard  7874:     fprintf(ficgp,"#model=%s \n",model);
1.238     brouard  7875:     fprintf(ficgp,"# Type of graphic ng=%d\n",ng);
1.264     brouard  7876:     fprintf(ficgp,"#   k1=1 to 2^%d=%d\n",cptcoveff,m);/* to be checked */
                   7877:     for(k1=1; k1 <=m; k1++)  /* For each combination of covariate */
1.237     brouard  7878:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.264     brouard  7879:       if(m != 1 && TKresult[nres]!= k1)
1.237     brouard  7880:        continue;
1.264     brouard  7881:       fprintf(ficgp,"\n\n# Combination of dummy  k1=%d which is ",k1);
                   7882:       strcpy(gplotlabel,"(");
1.276     brouard  7883:       /*sprintf(gplotlabel+strlen(gplotlabel)," Dummy combination %d ",k1);*/
1.264     brouard  7884:       for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   7885:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   7886:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   7887:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   7888:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   7889:        vlv= nbcode[Tvaraff[k]][lv];
                   7890:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   7891:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv);
                   7892:       }
1.237     brouard  7893:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   7894:        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.264     brouard  7895:        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.237     brouard  7896:       }        
1.264     brouard  7897:       strcpy(gplotlabel+strlen(gplotlabel),")");
1.237     brouard  7898:       fprintf(ficgp,"\n#\n");
1.264     brouard  7899:       fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),k1,ng,nres);
1.276     brouard  7900:       fprintf(ficgp,"\nset key outside ");
                   7901:       /* fprintf(ficgp,"\nset label \"%s\" at graph 1.2,0.5 center rotate font \"Helvetica,12\"\n",gplotlabel); */
                   7902:       fprintf(ficgp,"\nset title \"%s\" font \"Helvetica,12\"\n",gplotlabel);
1.223     brouard  7903:       fprintf(ficgp,"\nset ter svg size 640, 480 ");
                   7904:       if (ng==1){
                   7905:        fprintf(ficgp,"\nset ylabel \"Value of the logit of the model\"\n"); /* exp(a12+b12*x) could be nice */
                   7906:        fprintf(ficgp,"\nunset log y");
                   7907:       }else if (ng==2){
                   7908:        fprintf(ficgp,"\nset ylabel \"Probability\"\n");
                   7909:        fprintf(ficgp,"\nset log y");
                   7910:       }else if (ng==3){
                   7911:        fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
                   7912:        fprintf(ficgp,"\nset log y");
                   7913:       }else
                   7914:        fprintf(ficgp,"\nunset title ");
                   7915:       fprintf(ficgp,"\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
                   7916:       i=1;
                   7917:       for(k2=1; k2<=nlstate; k2++) {
                   7918:        k3=i;
                   7919:        for(k=1; k<=(nlstate+ndeath); k++) {
                   7920:          if (k != k2){
                   7921:            switch( ng) {
                   7922:            case 1:
                   7923:              if(nagesqr==0)
                   7924:                fprintf(ficgp," p%d+p%d*x",i,i+1);
                   7925:              else /* nagesqr =1 */
                   7926:                fprintf(ficgp," p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   7927:              break;
                   7928:            case 2: /* ng=2 */
                   7929:              if(nagesqr==0)
                   7930:                fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   7931:              else /* nagesqr =1 */
                   7932:                fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   7933:              break;
                   7934:            case 3:
                   7935:              if(nagesqr==0)
                   7936:                fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   7937:              else /* nagesqr =1 */
                   7938:                fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                   7939:              break;
                   7940:            }
                   7941:            ij=1;/* To be checked else nbcode[0][0] wrong */
1.237     brouard  7942:            ijp=1; /* product no age */
                   7943:            /* for(j=3; j <=ncovmodel-nagesqr; j++) { */
                   7944:            for(j=1; j <=cptcovt; j++) { /* For each covariate of the simplified model */
1.223     brouard  7945:              /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
1.268     brouard  7946:              if(cptcovage >0){ /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
                   7947:                if(j==Tage[ij]) { /* Product by age  To be looked at!!*/
                   7948:                  if(ij <=cptcovage) { /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
                   7949:                    if(DummyV[j]==0){
                   7950:                      fprintf(ficgp,"+p%d*%d*x",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]);;
                   7951:                    }else{ /* quantitative */
                   7952:                      fprintf(ficgp,"+p%d*%f*x",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /* Tqinvresult in decoderesult */
                   7953:                      /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
                   7954:                    }
                   7955:                    ij++;
1.237     brouard  7956:                  }
1.268     brouard  7957:                } 
                   7958:              }else if(cptcovprod >0){
                   7959:                if(j==Tprod[ijp]) { /* */ 
                   7960:                  /* printf("Tprod[%d]=%d, j=%d\n", ij, Tprod[ijp], j); */
                   7961:                  if(ijp <=cptcovprod) { /* Product */
                   7962:                    if(DummyV[Tvard[ijp][1]]==0){/* Vn is dummy */
                   7963:                      if(DummyV[Tvard[ijp][2]]==0){/* Vn and Vm are dummy */
                   7964:                        /* 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)]); */
                   7965:                        fprintf(ficgp,"+p%d*%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tinvresult[nres][Tvard[ijp][2]]);
                   7966:                      }else{ /* Vn is dummy and Vm is quanti */
                   7967:                        /* fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,nbcode[Tvard[ijp][1]][codtabm(k1,j)],Tqinvresult[nres][Tvard[ijp][2]]); */
                   7968:                        fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
                   7969:                      }
                   7970:                    }else{ /* Vn*Vm Vn is quanti */
                   7971:                      if(DummyV[Tvard[ijp][2]]==0){
                   7972:                        fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][2]],Tqinvresult[nres][Tvard[ijp][1]]);
                   7973:                      }else{ /* Both quanti */
                   7974:                        fprintf(ficgp,"+p%d*%f*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
                   7975:                      }
1.237     brouard  7976:                    }
1.268     brouard  7977:                    ijp++;
1.237     brouard  7978:                  }
1.268     brouard  7979:                } /* end Tprod */
1.237     brouard  7980:              } else{  /* simple covariate */
1.264     brouard  7981:                /* fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,nbcode[Tvar[j]][codtabm(k1,j)]); /\* Valgrind bug nbcode *\/ */
1.237     brouard  7982:                if(Dummy[j]==0){
                   7983:                  fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]); /*  */
                   7984:                }else{ /* quantitative */
                   7985:                  fprintf(ficgp,"+p%d*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /* */
1.264     brouard  7986:                  /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
1.223     brouard  7987:                }
1.237     brouard  7988:              } /* end simple */
                   7989:            } /* end j */
1.223     brouard  7990:          }else{
                   7991:            i=i-ncovmodel;
                   7992:            if(ng !=1 ) /* For logit formula of log p11 is more difficult to get */
                   7993:              fprintf(ficgp," (1.");
                   7994:          }
1.227     brouard  7995:          
1.223     brouard  7996:          if(ng != 1){
                   7997:            fprintf(ficgp,")/(1");
1.227     brouard  7998:            
1.264     brouard  7999:            for(cpt=1; cpt <=nlstate; cpt++){ 
1.223     brouard  8000:              if(nagesqr==0)
1.264     brouard  8001:                fprintf(ficgp,"+exp(p%d+p%d*x",k3+(cpt-1)*ncovmodel,k3+(cpt-1)*ncovmodel+1);
1.223     brouard  8002:              else /* nagesqr =1 */
1.264     brouard  8003:                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  8004:               
1.223     brouard  8005:              ij=1;
                   8006:              for(j=3; j <=ncovmodel-nagesqr; j++){
1.268     brouard  8007:                 if(cptcovage >0){ 
                   8008:                   if((j-2)==Tage[ij]) { /* Bug valgrind */
                   8009:                     if(ij <=cptcovage) { /* Bug valgrind */
                   8010:                       fprintf(ficgp,"+p%d*%d*x",k3+(cpt-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(k1,j-2)]);
                   8011:                       /* fprintf(ficgp,"+p%d*%d*x",k3+(cpt-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
                   8012:                       ij++;
                   8013:                     }
                   8014:                   }
                   8015:                 }else
                   8016:                   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  8017:              }
                   8018:              fprintf(ficgp,")");
                   8019:            }
                   8020:            fprintf(ficgp,")");
                   8021:            if(ng ==2)
1.276     brouard  8022:              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  8023:            else /* ng= 3 */
1.276     brouard  8024:              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  8025:          }else{ /* end ng <> 1 */
                   8026:            if( k !=k2) /* logit p11 is hard to draw */
1.276     brouard  8027:              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  8028:          }
                   8029:          if ((k+k2)!= (nlstate*2+ndeath) && ng != 1)
                   8030:            fprintf(ficgp,",");
                   8031:          if (ng == 1 && k!=k2 && (k+k2)!= (nlstate*2+ndeath))
                   8032:            fprintf(ficgp,",");
                   8033:          i=i+ncovmodel;
                   8034:        } /* end k */
                   8035:       } /* end k2 */
1.276     brouard  8036:       /* fprintf(ficgp,"\n set out; unset label;set key default;\n"); */
                   8037:       fprintf(ficgp,"\n set out; unset title;set key default;\n");
1.264     brouard  8038:     } /* end k1 */
1.223     brouard  8039:   } /* end ng */
                   8040:   /* avoid: */
                   8041:   fflush(ficgp); 
1.126     brouard  8042: }  /* end gnuplot */
                   8043: 
                   8044: 
                   8045: /*************** Moving average **************/
1.219     brouard  8046: /* int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav, double bageout, double fageout){ */
1.222     brouard  8047:  int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav){
1.218     brouard  8048:    
1.222     brouard  8049:    int i, cpt, cptcod;
                   8050:    int modcovmax =1;
                   8051:    int mobilavrange, mob;
                   8052:    int iage=0;
1.288     brouard  8053:    int firstA1=0, firstA2=0;
1.222     brouard  8054: 
1.266     brouard  8055:    double sum=0., sumr=0.;
1.222     brouard  8056:    double age;
1.266     brouard  8057:    double *sumnewp, *sumnewm, *sumnewmr;
                   8058:    double *agemingood, *agemaxgood; 
                   8059:    double *agemingoodr, *agemaxgoodr; 
1.222     brouard  8060:   
                   8061:   
1.278     brouard  8062:    /* modcovmax=2*cptcoveff;  Max number of modalities. We suppose  */
                   8063:    /*             a covariate has 2 modalities, should be equal to ncovcombmax   */
1.222     brouard  8064: 
                   8065:    sumnewp = vector(1,ncovcombmax);
                   8066:    sumnewm = vector(1,ncovcombmax);
1.266     brouard  8067:    sumnewmr = vector(1,ncovcombmax);
1.222     brouard  8068:    agemingood = vector(1,ncovcombmax); 
1.266     brouard  8069:    agemingoodr = vector(1,ncovcombmax);        
1.222     brouard  8070:    agemaxgood = vector(1,ncovcombmax);
1.266     brouard  8071:    agemaxgoodr = vector(1,ncovcombmax);
1.222     brouard  8072: 
                   8073:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
1.266     brouard  8074:      sumnewm[cptcod]=0.; sumnewmr[cptcod]=0.;
1.222     brouard  8075:      sumnewp[cptcod]=0.;
1.266     brouard  8076:      agemingood[cptcod]=0, agemingoodr[cptcod]=0;
                   8077:      agemaxgood[cptcod]=0, agemaxgoodr[cptcod]=0;
1.222     brouard  8078:    }
                   8079:    if (cptcovn<1) ncovcombmax=1; /* At least 1 pass */
                   8080:   
1.266     brouard  8081:    if(mobilav==-1 || mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   8082:      if(mobilav==1 || mobilav==-1) mobilavrange=5; /* default */
1.222     brouard  8083:      else mobilavrange=mobilav;
                   8084:      for (age=bage; age<=fage; age++)
                   8085:        for (i=1; i<=nlstate;i++)
                   8086:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++)
                   8087:           mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8088:      /* We keep the original values on the extreme ages bage, fage and for 
                   8089:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   8090:        we use a 5 terms etc. until the borders are no more concerned. 
                   8091:      */ 
                   8092:      for (mob=3;mob <=mobilavrange;mob=mob+2){
                   8093:        for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
1.266     brouard  8094:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   8095:           sumnewm[cptcod]=0.;
                   8096:           for (i=1; i<=nlstate;i++){
1.222     brouard  8097:             mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                   8098:             for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   8099:               mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   8100:               mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                   8101:             }
                   8102:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
1.266     brouard  8103:             sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8104:           } /* end i */
                   8105:           if(sumnewm[cptcod] >1.e-3) mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/sumnewm[cptcod]; /* Rescaling to sum one */
                   8106:         } /* end cptcod */
1.222     brouard  8107:        }/* end age */
                   8108:      }/* end mob */
1.266     brouard  8109:    }else{
                   8110:      printf("Error internal in movingaverage, mobilav=%d.\n",mobilav);
1.222     brouard  8111:      return -1;
1.266     brouard  8112:    }
                   8113: 
                   8114:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){ /* for each combination */
1.222     brouard  8115:      /* for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ */
                   8116:      if(invalidvarcomb[cptcod]){
                   8117:        printf("\nCombination (%d) ignored because no cases \n",cptcod); 
                   8118:        continue;
                   8119:      }
1.219     brouard  8120: 
1.266     brouard  8121:      for (age=fage-(mob-1)/2; age>=bage+(mob-1)/2; age--){ /*looking for the youngest and oldest good age */
                   8122:        sumnewm[cptcod]=0.;
                   8123:        sumnewmr[cptcod]=0.;
                   8124:        for (i=1; i<=nlstate;i++){
                   8125:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8126:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8127:        }
                   8128:        if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8129:         agemingoodr[cptcod]=age;
                   8130:        }
                   8131:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8132:           agemingood[cptcod]=age;
                   8133:        }
                   8134:      } /* age */
                   8135:      for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ /*looking for the youngest and oldest good age */
1.222     brouard  8136:        sumnewm[cptcod]=0.;
1.266     brouard  8137:        sumnewmr[cptcod]=0.;
1.222     brouard  8138:        for (i=1; i<=nlstate;i++){
                   8139:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
1.266     brouard  8140:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8141:        }
                   8142:        if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8143:         agemaxgoodr[cptcod]=age;
1.222     brouard  8144:        }
                   8145:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
1.266     brouard  8146:         agemaxgood[cptcod]=age;
                   8147:        }
                   8148:      } /* age */
                   8149:      /* Thus we have agemingood and agemaxgood as well as goodr for raw (preobs) */
                   8150:      /* but they will change */
1.288     brouard  8151:      firstA1=0;firstA2=0;
1.266     brouard  8152:      for (age=fage-(mob-1)/2; age>=bage; age--){/* From oldest to youngest, filling up to the youngest */
                   8153:        sumnewm[cptcod]=0.;
                   8154:        sumnewmr[cptcod]=0.;
                   8155:        for (i=1; i<=nlstate;i++){
                   8156:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8157:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8158:        }
                   8159:        if(mobilav==-1){ /* Forcing raw ages if good else agemingood */
                   8160:         if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
                   8161:           agemaxgoodr[cptcod]=age;  /* age min */
                   8162:           for (i=1; i<=nlstate;i++)
                   8163:             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8164:         }else{ /* bad we change the value with the values of good ages */
                   8165:           for (i=1; i<=nlstate;i++){
                   8166:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgoodr[cptcod]][i][cptcod];
                   8167:           } /* i */
                   8168:         } /* end bad */
                   8169:        }else{
                   8170:         if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8171:           agemaxgood[cptcod]=age;
                   8172:         }else{ /* bad we change the value with the values of good ages */
                   8173:           for (i=1; i<=nlstate;i++){
                   8174:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   8175:           } /* i */
                   8176:         } /* end bad */
                   8177:        }/* end else */
                   8178:        sum=0.;sumr=0.;
                   8179:        for (i=1; i<=nlstate;i++){
                   8180:         sum+=mobaverage[(int)age][i][cptcod];
                   8181:         sumr+=probs[(int)age][i][cptcod];
                   8182:        }
                   8183:        if(fabs(sum - 1.) > 1.e-3) { /* bad */
1.288     brouard  8184:         if(!firstA1){
                   8185:           firstA1=1;
                   8186:           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);
                   8187:         }
                   8188:         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  8189:        } /* end bad */
                   8190:        /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   8191:        if(fabs(sumr - 1.) > 1.e-3) { /* bad */
1.288     brouard  8192:         if(!firstA2){
                   8193:           firstA2=1;
                   8194:           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);
                   8195:         }
                   8196:         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  8197:        } /* end bad */
                   8198:      }/* age */
1.266     brouard  8199: 
                   8200:      for (age=bage+(mob-1)/2; age<=fage; age++){/* From youngest, finding the oldest wrong */
1.222     brouard  8201:        sumnewm[cptcod]=0.;
1.266     brouard  8202:        sumnewmr[cptcod]=0.;
1.222     brouard  8203:        for (i=1; i<=nlstate;i++){
                   8204:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
1.266     brouard  8205:         sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
                   8206:        } 
                   8207:        if(mobilav==-1){ /* Forcing raw ages if good else agemingood */
                   8208:         if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good */
                   8209:           agemingoodr[cptcod]=age;
                   8210:           for (i=1; i<=nlstate;i++)
                   8211:             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   8212:         }else{ /* bad we change the value with the values of good ages */
                   8213:           for (i=1; i<=nlstate;i++){
                   8214:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingoodr[cptcod]][i][cptcod];
                   8215:           } /* i */
                   8216:         } /* end bad */
                   8217:        }else{
                   8218:         if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   8219:           agemingood[cptcod]=age;
                   8220:         }else{ /* bad */
                   8221:           for (i=1; i<=nlstate;i++){
                   8222:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   8223:           } /* i */
                   8224:         } /* end bad */
                   8225:        }/* end else */
                   8226:        sum=0.;sumr=0.;
                   8227:        for (i=1; i<=nlstate;i++){
                   8228:         sum+=mobaverage[(int)age][i][cptcod];
                   8229:         sumr+=mobaverage[(int)age][i][cptcod];
1.222     brouard  8230:        }
1.266     brouard  8231:        if(fabs(sum - 1.) > 1.e-3) { /* bad */
1.268     brouard  8232:         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  8233:        } /* end bad */
                   8234:        /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   8235:        if(fabs(sumr - 1.) > 1.e-3) { /* bad */
1.268     brouard  8236:         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  8237:        } /* end bad */
                   8238:      }/* age */
1.266     brouard  8239: 
1.222     brouard  8240:                
                   8241:      for (age=bage; age<=fage; age++){
1.235     brouard  8242:        /* printf("%d %d ", cptcod, (int)age); */
1.222     brouard  8243:        sumnewp[cptcod]=0.;
                   8244:        sumnewm[cptcod]=0.;
                   8245:        for (i=1; i<=nlstate;i++){
                   8246:         sumnewp[cptcod]+=probs[(int)age][i][cptcod];
                   8247:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   8248:         /* printf("%.4f %.4f ",probs[(int)age][i][cptcod], mobaverage[(int)age][i][cptcod]); */
                   8249:        }
                   8250:        /* printf("%.4f %.4f \n",sumnewp[cptcod], sumnewm[cptcod]); */
                   8251:      }
                   8252:      /* printf("\n"); */
                   8253:      /* } */
1.266     brouard  8254: 
1.222     brouard  8255:      /* brutal averaging */
1.266     brouard  8256:      /* for (i=1; i<=nlstate;i++){ */
                   8257:      /*   for (age=1; age<=bage; age++){ */
                   8258:      /*         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
                   8259:      /*         /\* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); *\/ */
                   8260:      /*   }     */
                   8261:      /*   for (age=fage; age<=AGESUP; age++){ */
                   8262:      /*         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod]; */
                   8263:      /*         /\* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); *\/ */
                   8264:      /*   } */
                   8265:      /* } /\* end i status *\/ */
                   8266:      /* for (i=nlstate+1; i<=nlstate+ndeath;i++){ */
                   8267:      /*   for (age=1; age<=AGESUP; age++){ */
                   8268:      /*         /\*printf("i=%d, age=%d, cptcod=%d\n",i, (int)age, cptcod);*\/ */
                   8269:      /*         mobaverage[(int)age][i][cptcod]=0.; */
                   8270:      /*   } */
                   8271:      /* } */
1.222     brouard  8272:    }/* end cptcod */
1.266     brouard  8273:    free_vector(agemaxgoodr,1, ncovcombmax);
                   8274:    free_vector(agemaxgood,1, ncovcombmax);
                   8275:    free_vector(agemingood,1, ncovcombmax);
                   8276:    free_vector(agemingoodr,1, ncovcombmax);
                   8277:    free_vector(sumnewmr,1, ncovcombmax);
1.222     brouard  8278:    free_vector(sumnewm,1, ncovcombmax);
                   8279:    free_vector(sumnewp,1, ncovcombmax);
                   8280:    return 0;
                   8281:  }/* End movingaverage */
1.218     brouard  8282:  
1.126     brouard  8283: 
                   8284: /************** Forecasting ******************/
1.269     brouard  8285:  void prevforecast(char fileres[], double anproj1, double mproj1, double jproj1, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double ***prev, double bage, double fage, int firstpass, int lastpass, double anproj2, double p[], int cptcoveff){
1.126     brouard  8286:   /* proj1, year, month, day of starting projection 
                   8287:      agemin, agemax range of age
                   8288:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   8289:      anproj2 year of en of projection (same day and month as proj1).
                   8290:   */
1.267     brouard  8291:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
1.126     brouard  8292:   double agec; /* generic age */
                   8293:   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
                   8294:   double *popeffectif,*popcount;
                   8295:   double ***p3mat;
1.218     brouard  8296:   /* double ***mobaverage; */
1.126     brouard  8297:   char fileresf[FILENAMELENGTH];
                   8298: 
                   8299:   agelim=AGESUP;
1.211     brouard  8300:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   8301:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   8302:      We still use firstpass and lastpass as another selection.
                   8303:   */
1.214     brouard  8304:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   8305:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
1.126     brouard  8306:  
1.201     brouard  8307:   strcpy(fileresf,"F_"); 
                   8308:   strcat(fileresf,fileresu);
1.126     brouard  8309:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   8310:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   8311:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   8312:   }
1.235     brouard  8313:   printf("\nComputing forecasting: result on file '%s', please wait... \n", fileresf);
                   8314:   fprintf(ficlog,"\nComputing forecasting: result on file '%s', please wait... \n", fileresf);
1.126     brouard  8315: 
1.225     brouard  8316:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
1.126     brouard  8317: 
                   8318: 
                   8319:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8320:   if (stepm<=12) stepsize=1;
                   8321:   if(estepm < stepm){
                   8322:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   8323:   }
1.270     brouard  8324:   else{
                   8325:     hstepm=estepm;   
                   8326:   }
                   8327:   if(estepm > stepm){ /* Yes every two year */
                   8328:     stepsize=2;
                   8329:   }
1.126     brouard  8330: 
                   8331:   hstepm=hstepm/stepm; 
                   8332:   yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                   8333:                                fractional in yp1 */
                   8334:   anprojmean=yp;
                   8335:   yp2=modf((yp1*12),&yp);
                   8336:   mprojmean=yp;
                   8337:   yp1=modf((yp2*30.5),&yp);
                   8338:   jprojmean=yp;
                   8339:   if(jprojmean==0) jprojmean=1;
                   8340:   if(mprojmean==0) jprojmean=1;
                   8341: 
1.227     brouard  8342:   i1=pow(2,cptcoveff);
1.126     brouard  8343:   if (cptcovn < 1){i1=1;}
                   8344:   
                   8345:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
                   8346:   
                   8347:   fprintf(ficresf,"#****** Routine prevforecast **\n");
1.227     brouard  8348:   
1.126     brouard  8349: /*           if (h==(int)(YEARM*yearp)){ */
1.235     brouard  8350:   for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8351:   for(k=1; k<=i1;k++){
1.253     brouard  8352:     if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  8353:       continue;
1.227     brouard  8354:     if(invalidvarcomb[k]){
                   8355:       printf("\nCombination (%d) projection ignored because no cases \n",k); 
                   8356:       continue;
                   8357:     }
                   8358:     fprintf(ficresf,"\n#****** hpijx=probability over h years, hp.jx is weighted by observed prev \n#");
                   8359:     for(j=1;j<=cptcoveff;j++) {
                   8360:       fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8361:     }
1.235     brouard  8362:     for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
1.238     brouard  8363:       fprintf(ficresf," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
1.235     brouard  8364:     }
1.227     brouard  8365:     fprintf(ficresf," yearproj age");
                   8366:     for(j=1; j<=nlstate+ndeath;j++){ 
                   8367:       for(i=1; i<=nlstate;i++)               
                   8368:        fprintf(ficresf," p%d%d",i,j);
                   8369:       fprintf(ficresf," wp.%d",j);
                   8370:     }
                   8371:     for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {
                   8372:       fprintf(ficresf,"\n");
                   8373:       fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
1.270     brouard  8374:       /* for (agec=fage; agec>=(ageminpar-1); agec--){  */
                   8375:       for (agec=fage; agec>=(bage); agec--){ 
1.227     brouard  8376:        nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   8377:        nhstepm = nhstepm/hstepm; 
                   8378:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8379:        oldm=oldms;savm=savms;
1.268     brouard  8380:        /* We compute pii at age agec over nhstepm);*/
1.235     brouard  8381:        hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k,nres);
1.268     brouard  8382:        /* Then we print p3mat for h corresponding to the right agec+h*stepms=yearp */
1.227     brouard  8383:        for (h=0; h<=nhstepm; h++){
                   8384:          if (h*hstepm/YEARM*stepm ==yearp) {
1.268     brouard  8385:            break;
                   8386:          }
                   8387:        }
                   8388:        fprintf(ficresf,"\n");
                   8389:        for(j=1;j<=cptcoveff;j++) 
                   8390:          fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8391:        fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
                   8392:        
                   8393:        for(j=1; j<=nlstate+ndeath;j++) {
                   8394:          ppij=0.;
                   8395:          for(i=1; i<=nlstate;i++) {
1.278     brouard  8396:            if (mobilav>=1)
                   8397:             ppij=ppij+p3mat[i][j][h]*prev[(int)agec][i][k];
                   8398:            else { /* even if mobilav==-1 we use mobaverage, probs may not sums to 1 */
                   8399:                ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k];
                   8400:            }
1.268     brouard  8401:            fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   8402:          } /* end i */
                   8403:          fprintf(ficresf," %.3f", ppij);
                   8404:        }/* end j */
1.227     brouard  8405:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8406:       } /* end agec */
1.266     brouard  8407:       /* diffyear=(int) anproj1+yearp-ageminpar-1; */
                   8408:       /*printf("Prevforecast %d+%d-%d=diffyear=%d\n",(int) anproj1, (int)yearp,(int)ageminpar,(int) anproj1-(int)ageminpar);*/
1.227     brouard  8409:     } /* end yearp */
                   8410:   } /* end  k */
1.219     brouard  8411:        
1.126     brouard  8412:   fclose(ficresf);
1.215     brouard  8413:   printf("End of Computing forecasting \n");
                   8414:   fprintf(ficlog,"End of Computing forecasting\n");
                   8415: 
1.126     brouard  8416: }
                   8417: 
1.269     brouard  8418: /************** Back Forecasting ******************/
                   8419:  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){
1.267     brouard  8420:   /* back1, year, month, day of starting backection
                   8421:      agemin, agemax range of age
                   8422:      dateprev1 dateprev2 range of dates during which prevalence is computed
1.269     brouard  8423:      anback2 year of end of backprojection (same day and month as back1).
                   8424:      prevacurrent and prev are prevalences.
1.267     brouard  8425:   */
                   8426:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
                   8427:   double agec; /* generic age */
1.268     brouard  8428:   double agelim, ppij, ppi, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
1.267     brouard  8429:   double *popeffectif,*popcount;
                   8430:   double ***p3mat;
                   8431:   /* double ***mobaverage; */
                   8432:   char fileresfb[FILENAMELENGTH];
                   8433:  
1.268     brouard  8434:   agelim=AGEINF;
1.267     brouard  8435:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   8436:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   8437:      We still use firstpass and lastpass as another selection.
                   8438:   */
                   8439:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   8440:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
                   8441: 
                   8442:   /*Do we need to compute prevalence again?*/
                   8443: 
                   8444:   /* prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
                   8445:   
                   8446:   strcpy(fileresfb,"FB_");
                   8447:   strcat(fileresfb,fileresu);
                   8448:   if((ficresfb=fopen(fileresfb,"w"))==NULL) {
                   8449:     printf("Problem with back forecast resultfile: %s\n", fileresfb);
                   8450:     fprintf(ficlog,"Problem with back forecast resultfile: %s\n", fileresfb);
                   8451:   }
                   8452:   printf("\nComputing back forecasting: result on file '%s', please wait... \n", fileresfb);
                   8453:   fprintf(ficlog,"\nComputing back forecasting: result on file '%s', please wait... \n", fileresfb);
                   8454:   
                   8455:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   8456:   
                   8457:    
                   8458:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8459:   if (stepm<=12) stepsize=1;
                   8460:   if(estepm < stepm){
                   8461:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   8462:   }
1.270     brouard  8463:   else{
                   8464:     hstepm=estepm;   
                   8465:   }
                   8466:   if(estepm >= stepm){ /* Yes every two year */
                   8467:     stepsize=2;
                   8468:   }
1.267     brouard  8469:   
                   8470:   hstepm=hstepm/stepm;
                   8471:   yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                   8472:                                fractional in yp1 */
                   8473:   anprojmean=yp;
                   8474:   yp2=modf((yp1*12),&yp);
                   8475:   mprojmean=yp;
                   8476:   yp1=modf((yp2*30.5),&yp);
                   8477:   jprojmean=yp;
                   8478:   if(jprojmean==0) jprojmean=1;
                   8479:   if(mprojmean==0) jprojmean=1;
                   8480:   
                   8481:   i1=pow(2,cptcoveff);
                   8482:   if (cptcovn < 1){i1=1;}
                   8483:   
                   8484:   fprintf(ficresfb,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2);
1.268     brouard  8485:   printf("# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2);
1.267     brouard  8486:   
                   8487:   fprintf(ficresfb,"#****** Routine prevbackforecast **\n");
                   8488:   
                   8489:   for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8490:   for(k=1; k<=i1;k++){
                   8491:     if(i1 != 1 && TKresult[nres]!= k)
                   8492:       continue;
                   8493:     if(invalidvarcomb[k]){
                   8494:       printf("\nCombination (%d) projection ignored because no cases \n",k); 
                   8495:       continue;
                   8496:     }
1.268     brouard  8497:     fprintf(ficresfb,"\n#****** hbijx=probability over h years, hb.jx is weighted by observed prev \n#");
1.267     brouard  8498:     for(j=1;j<=cptcoveff;j++) {
                   8499:       fprintf(ficresfb," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8500:     }
                   8501:     for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   8502:       fprintf(ficresf," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   8503:     }
                   8504:     fprintf(ficresfb," yearbproj age");
                   8505:     for(j=1; j<=nlstate+ndeath;j++){
                   8506:       for(i=1; i<=nlstate;i++)
1.268     brouard  8507:        fprintf(ficresfb," b%d%d",i,j);
                   8508:       fprintf(ficresfb," b.%d",j);
1.267     brouard  8509:     }
                   8510:     for (yearp=0; yearp>=(anback2-anback1);yearp -=stepsize) {
                   8511:       /* for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {  */
                   8512:       fprintf(ficresfb,"\n");
                   8513:       fprintf(ficresfb,"\n# Back Forecasting at date %.lf/%.lf/%.lf ",jback1,mback1,anback1+yearp);
1.273     brouard  8514:       /* printf("\n# Back Forecasting at date %.lf/%.lf/%.lf ",jback1,mback1,anback1+yearp); */
1.270     brouard  8515:       /* for (agec=bage; agec<=agemax-1; agec++){  /\* testing *\/ */
                   8516:       for (agec=bage; agec<=fage; agec++){  /* testing */
1.268     brouard  8517:        /* We compute bij at age agec over nhstepm, nhstepm decreases when agec increases because of agemax;*/
1.271     brouard  8518:        nhstepm=(int) (agec-agelim) *YEARM/stepm;/*     nhstepm=(int) rint((agec-agelim)*YEARM/stepm);*/
1.267     brouard  8519:        nhstepm = nhstepm/hstepm;
                   8520:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8521:        oldm=oldms;savm=savms;
1.268     brouard  8522:        /* computes hbxij at age agec over 1 to nhstepm */
1.271     brouard  8523:        /* printf("####prevbackforecast debug  agec=%.2f nhstepm=%d\n",agec, nhstepm);fflush(stdout); */
1.267     brouard  8524:        hbxij(p3mat,nhstepm,agec,hstepm,p,prevacurrent,nlstate,stepm, k, nres);
1.268     brouard  8525:        /* hpxij(p3mat,nhstepm,agec,hstepm,p,             nlstate,stepm,oldm,savm, k,nres); */
                   8526:        /* Then we print p3mat for h corresponding to the right agec+h*stepms=yearp */
                   8527:        /* printf(" agec=%.2f\n",agec);fflush(stdout); */
1.267     brouard  8528:        for (h=0; h<=nhstepm; h++){
1.268     brouard  8529:          if (h*hstepm/YEARM*stepm ==-yearp) {
                   8530:            break;
                   8531:          }
                   8532:        }
                   8533:        fprintf(ficresfb,"\n");
                   8534:        for(j=1;j<=cptcoveff;j++)
                   8535:          fprintf(ficresfb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8536:        fprintf(ficresfb,"%.f %.f ",anback1+yearp,agec-h*hstepm/YEARM*stepm);
                   8537:        for(i=1; i<=nlstate+ndeath;i++) {
                   8538:          ppij=0.;ppi=0.;
                   8539:          for(j=1; j<=nlstate;j++) {
                   8540:            /* if (mobilav==1) */
1.269     brouard  8541:            ppij=ppij+p3mat[i][j][h]*prevacurrent[(int)agec][j][k];
                   8542:            ppi=ppi+prevacurrent[(int)agec][j][k];
                   8543:            /* ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][j][k]; */
                   8544:            /* ppi=ppi+mobaverage[(int)agec][j][k]; */
1.267     brouard  8545:              /* else { */
                   8546:              /*        ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k]; */
                   8547:              /* } */
1.268     brouard  8548:            fprintf(ficresfb," %.3f", p3mat[i][j][h]);
                   8549:          } /* end j */
                   8550:          if(ppi <0.99){
                   8551:            printf("Error in prevbackforecast, prevalence doesn't sum to 1 for state %d: %3f\n",i, ppi);
                   8552:            fprintf(ficlog,"Error in prevbackforecast, prevalence doesn't sum to 1 for state %d: %3f\n",i, ppi);
                   8553:          }
                   8554:          fprintf(ficresfb," %.3f", ppij);
                   8555:        }/* end j */
1.267     brouard  8556:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8557:       } /* end agec */
                   8558:     } /* end yearp */
                   8559:   } /* end k */
1.217     brouard  8560:   
1.267     brouard  8561:   /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
1.217     brouard  8562:   
1.267     brouard  8563:   fclose(ficresfb);
                   8564:   printf("End of Computing Back forecasting \n");
                   8565:   fprintf(ficlog,"End of Computing Back forecasting\n");
1.218     brouard  8566:        
1.267     brouard  8567: }
1.217     brouard  8568: 
1.269     brouard  8569: /* Variance of prevalence limit: varprlim */
                   8570:  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  8571:     /*------- Variance of forward period (stable) prevalence------*/   
1.269     brouard  8572:  
                   8573:    char fileresvpl[FILENAMELENGTH];  
                   8574:    FILE *ficresvpl;
                   8575:    double **oldm, **savm;
                   8576:    double **varpl; /* Variances of prevalence limits by age */   
                   8577:    int i1, k, nres, j ;
                   8578:    
                   8579:     strcpy(fileresvpl,"VPL_");
                   8580:     strcat(fileresvpl,fileresu);
                   8581:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
1.288     brouard  8582:       printf("Problem with variance of forward period (stable) prevalence  resultfile: %s\n", fileresvpl);
1.269     brouard  8583:       exit(0);
                   8584:     }
1.288     brouard  8585:     printf("Computing Variance-covariance of forward period (stable) prevalence: file '%s' ...", fileresvpl);fflush(stdout);
                   8586:     fprintf(ficlog, "Computing Variance-covariance of forward period (stable) prevalence: file '%s' ...", fileresvpl);fflush(ficlog);
1.269     brouard  8587:     
                   8588:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   8589:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   8590:     
                   8591:     i1=pow(2,cptcoveff);
                   8592:     if (cptcovn < 1){i1=1;}
                   8593: 
                   8594:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8595:     for(k=1; k<=i1;k++){
                   8596:       if(i1 != 1 && TKresult[nres]!= k)
                   8597:        continue;
                   8598:       fprintf(ficresvpl,"\n#****** ");
                   8599:       printf("\n#****** ");
                   8600:       fprintf(ficlog,"\n#****** ");
                   8601:       for(j=1;j<=cptcoveff;j++) {
                   8602:        fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8603:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8604:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8605:       }
                   8606:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   8607:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8608:        fprintf(ficresvpl," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8609:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8610:       }        
                   8611:       fprintf(ficresvpl,"******\n");
                   8612:       printf("******\n");
                   8613:       fprintf(ficlog,"******\n");
                   8614:       
                   8615:       varpl=matrix(1,nlstate,(int) bage, (int) fage);
                   8616:       oldm=oldms;savm=savms;
                   8617:       varprevlim(fileresvpl, ficresvpl, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, ncvyearp, k, strstart, nres);
                   8618:       free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
                   8619:       /*}*/
                   8620:     }
                   8621:     
                   8622:     fclose(ficresvpl);
1.288     brouard  8623:     printf("done variance-covariance of forward period prevalence\n");fflush(stdout);
                   8624:     fprintf(ficlog,"done variance-covariance of forward period prevalence\n");fflush(ficlog);
1.269     brouard  8625: 
                   8626:  }
                   8627: /* Variance of back prevalence: varbprlim */
                   8628:  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){
                   8629:       /*------- Variance of back (stable) prevalence------*/
                   8630: 
                   8631:    char fileresvbl[FILENAMELENGTH];  
                   8632:    FILE  *ficresvbl;
                   8633: 
                   8634:    double **oldm, **savm;
                   8635:    double **varbpl; /* Variances of back prevalence limits by age */   
                   8636:    int i1, k, nres, j ;
                   8637: 
                   8638:    strcpy(fileresvbl,"VBL_");
                   8639:    strcat(fileresvbl,fileresu);
                   8640:    if((ficresvbl=fopen(fileresvbl,"w"))==NULL) {
                   8641:      printf("Problem with variance of back (stable) prevalence  resultfile: %s\n", fileresvbl);
                   8642:      exit(0);
                   8643:    }
                   8644:    printf("Computing Variance-covariance of back (stable) prevalence: file '%s' ...", fileresvbl);fflush(stdout);
                   8645:    fprintf(ficlog, "Computing Variance-covariance of back (stable) prevalence: file '%s' ...", fileresvbl);fflush(ficlog);
                   8646:    
                   8647:    
                   8648:    i1=pow(2,cptcoveff);
                   8649:    if (cptcovn < 1){i1=1;}
                   8650:    
                   8651:    for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   8652:      for(k=1; k<=i1;k++){
                   8653:        if(i1 != 1 && TKresult[nres]!= k)
                   8654:         continue;
                   8655:        fprintf(ficresvbl,"\n#****** ");
                   8656:        printf("\n#****** ");
                   8657:        fprintf(ficlog,"\n#****** ");
                   8658:        for(j=1;j<=cptcoveff;j++) {
                   8659:         fprintf(ficresvbl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8660:         fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8661:         printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8662:        }
                   8663:        for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   8664:         printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8665:         fprintf(ficresvbl," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8666:         fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   8667:        }
                   8668:        fprintf(ficresvbl,"******\n");
                   8669:        printf("******\n");
                   8670:        fprintf(ficlog,"******\n");
                   8671:        
                   8672:        varbpl=matrix(1,nlstate,(int) bage, (int) fage);
                   8673:        oldm=oldms;savm=savms;
                   8674:        
                   8675:        varbrevlim(fileresvbl, ficresvbl, varbpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, bprlim, ftolpl, mobilavproj, ncvyearp, k, strstart, nres);
                   8676:        free_matrix(varbpl,1,nlstate,(int) bage, (int)fage);
                   8677:        /*}*/
                   8678:      }
                   8679:    
                   8680:    fclose(ficresvbl);
                   8681:    printf("done variance-covariance of back prevalence\n");fflush(stdout);
                   8682:    fprintf(ficlog,"done variance-covariance of back prevalence\n");fflush(ficlog);
                   8683: 
                   8684:  } /* End of varbprlim */
                   8685: 
1.126     brouard  8686: /************** Forecasting *****not tested NB*************/
1.227     brouard  8687: /* 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  8688:   
1.227     brouard  8689: /*   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h; */
                   8690: /*   int *popage; */
                   8691: /*   double calagedatem, agelim, kk1, kk2; */
                   8692: /*   double *popeffectif,*popcount; */
                   8693: /*   double ***p3mat,***tabpop,***tabpopprev; */
                   8694: /*   /\* double ***mobaverage; *\/ */
                   8695: /*   char filerespop[FILENAMELENGTH]; */
1.126     brouard  8696: 
1.227     brouard  8697: /*   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8698: /*   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8699: /*   agelim=AGESUP; */
                   8700: /*   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM; */
1.126     brouard  8701:   
1.227     brouard  8702: /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
1.126     brouard  8703:   
                   8704:   
1.227     brouard  8705: /*   strcpy(filerespop,"POP_");  */
                   8706: /*   strcat(filerespop,fileresu); */
                   8707: /*   if((ficrespop=fopen(filerespop,"w"))==NULL) { */
                   8708: /*     printf("Problem with forecast resultfile: %s\n", filerespop); */
                   8709: /*     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop); */
                   8710: /*   } */
                   8711: /*   printf("Computing forecasting: result on file '%s' \n", filerespop); */
                   8712: /*   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop); */
1.126     brouard  8713: 
1.227     brouard  8714: /*   if (cptcoveff==0) ncodemax[cptcoveff]=1; */
1.126     brouard  8715: 
1.227     brouard  8716: /*   /\* if (mobilav!=0) { *\/ */
                   8717: /*   /\*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   8718: /*   /\*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ *\/ */
                   8719: /*   /\*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   8720: /*   /\*     printf(" Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   8721: /*   /\*   } *\/ */
                   8722: /*   /\* } *\/ */
1.126     brouard  8723: 
1.227     brouard  8724: /*   stepsize=(int) (stepm+YEARM-1)/YEARM; */
                   8725: /*   if (stepm<=12) stepsize=1; */
1.126     brouard  8726:   
1.227     brouard  8727: /*   agelim=AGESUP; */
1.126     brouard  8728:   
1.227     brouard  8729: /*   hstepm=1; */
                   8730: /*   hstepm=hstepm/stepm;  */
1.218     brouard  8731:        
1.227     brouard  8732: /*   if (popforecast==1) { */
                   8733: /*     if((ficpop=fopen(popfile,"r"))==NULL) { */
                   8734: /*       printf("Problem with population file : %s\n",popfile);exit(0); */
                   8735: /*       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0); */
                   8736: /*     }  */
                   8737: /*     popage=ivector(0,AGESUP); */
                   8738: /*     popeffectif=vector(0,AGESUP); */
                   8739: /*     popcount=vector(0,AGESUP); */
1.126     brouard  8740:     
1.227     brouard  8741: /*     i=1;    */
                   8742: /*     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1; */
1.218     brouard  8743:     
1.227     brouard  8744: /*     imx=i; */
                   8745: /*     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i]; */
                   8746: /*   } */
1.218     brouard  8747:   
1.227     brouard  8748: /*   for(cptcov=1,k=0;cptcov<=i2;cptcov++){ */
                   8749: /*     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ */
                   8750: /*       k=k+1; */
                   8751: /*       fprintf(ficrespop,"\n#******"); */
                   8752: /*       for(j=1;j<=cptcoveff;j++) { */
                   8753: /*     fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   8754: /*       } */
                   8755: /*       fprintf(ficrespop,"******\n"); */
                   8756: /*       fprintf(ficrespop,"# Age"); */
                   8757: /*       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j); */
                   8758: /*       if (popforecast==1)  fprintf(ficrespop," [Population]"); */
1.126     brouard  8759:       
1.227     brouard  8760: /*       for (cpt=0; cpt<=0;cpt++) {  */
                   8761: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
1.126     brouard  8762:        
1.227     brouard  8763: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   8764: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   8765: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  8766:          
1.227     brouard  8767: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8768: /*       oldm=oldms;savm=savms; */
                   8769: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
1.218     brouard  8770:          
1.227     brouard  8771: /*       for (h=0; h<=nhstepm; h++){ */
                   8772: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   8773: /*           fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   8774: /*         }  */
                   8775: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   8776: /*           kk1=0.;kk2=0; */
                   8777: /*           for(i=1; i<=nlstate;i++) {               */
                   8778: /*             if (mobilav==1)  */
                   8779: /*               kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod]; */
                   8780: /*             else { */
                   8781: /*               kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod]; */
                   8782: /*             } */
                   8783: /*           } */
                   8784: /*           if (h==(int)(calagedatem+12*cpt)){ */
                   8785: /*             tabpop[(int)(agedeb)][j][cptcod]=kk1; */
                   8786: /*             /\*fprintf(ficrespop," %.3f", kk1); */
                   8787: /*               if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*\/ */
                   8788: /*           } */
                   8789: /*         } */
                   8790: /*         for(i=1; i<=nlstate;i++){ */
                   8791: /*           kk1=0.; */
                   8792: /*           for(j=1; j<=nlstate;j++){ */
                   8793: /*             kk1= kk1+tabpop[(int)(agedeb)][j][cptcod];  */
                   8794: /*           } */
                   8795: /*           tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)]; */
                   8796: /*         } */
1.218     brouard  8797:            
1.227     brouard  8798: /*         if (h==(int)(calagedatem+12*cpt)) */
                   8799: /*           for(j=1; j<=nlstate;j++)  */
                   8800: /*             fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]); */
                   8801: /*       } */
                   8802: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8803: /*     } */
                   8804: /*       } */
1.218     brouard  8805:       
1.227     brouard  8806: /*       /\******\/ */
1.218     brouard  8807:       
1.227     brouard  8808: /*       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) {  */
                   8809: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
                   8810: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   8811: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   8812: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  8813:          
1.227     brouard  8814: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8815: /*       oldm=oldms;savm=savms; */
                   8816: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
                   8817: /*       for (h=0; h<=nhstepm; h++){ */
                   8818: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   8819: /*           fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   8820: /*         }  */
                   8821: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   8822: /*           kk1=0.;kk2=0; */
                   8823: /*           for(i=1; i<=nlstate;i++) {               */
                   8824: /*             kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];     */
                   8825: /*           } */
                   8826: /*           if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);         */
                   8827: /*         } */
                   8828: /*       } */
                   8829: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   8830: /*     } */
                   8831: /*       } */
                   8832: /*     }  */
                   8833: /*   } */
1.218     brouard  8834:   
1.227     brouard  8835: /*   /\* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
1.218     brouard  8836:   
1.227     brouard  8837: /*   if (popforecast==1) { */
                   8838: /*     free_ivector(popage,0,AGESUP); */
                   8839: /*     free_vector(popeffectif,0,AGESUP); */
                   8840: /*     free_vector(popcount,0,AGESUP); */
                   8841: /*   } */
                   8842: /*   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8843: /*   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   8844: /*   fclose(ficrespop); */
                   8845: /* } /\* End of popforecast *\/ */
1.218     brouard  8846:  
1.126     brouard  8847: int fileappend(FILE *fichier, char *optionfich)
                   8848: {
                   8849:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   8850:     printf("Problem with file: %s\n", optionfich);
                   8851:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   8852:     return (0);
                   8853:   }
                   8854:   fflush(fichier);
                   8855:   return (1);
                   8856: }
                   8857: 
                   8858: 
                   8859: /**************** function prwizard **********************/
                   8860: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   8861: {
                   8862: 
                   8863:   /* Wizard to print covariance matrix template */
                   8864: 
1.164     brouard  8865:   char ca[32], cb[32];
                   8866:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  8867:   int numlinepar;
                   8868: 
                   8869:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   8870:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   8871:   for(i=1; i <=nlstate; i++){
                   8872:     jj=0;
                   8873:     for(j=1; j <=nlstate+ndeath; j++){
                   8874:       if(j==i) continue;
                   8875:       jj++;
                   8876:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   8877:       printf("%1d%1d",i,j);
                   8878:       fprintf(ficparo,"%1d%1d",i,j);
                   8879:       for(k=1; k<=ncovmodel;k++){
                   8880:        /*        printf(" %lf",param[i][j][k]); */
                   8881:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   8882:        printf(" 0.");
                   8883:        fprintf(ficparo," 0.");
                   8884:       }
                   8885:       printf("\n");
                   8886:       fprintf(ficparo,"\n");
                   8887:     }
                   8888:   }
                   8889:   printf("# Scales (for hessian or gradient estimation)\n");
                   8890:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   8891:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   8892:   for(i=1; i <=nlstate; i++){
                   8893:     jj=0;
                   8894:     for(j=1; j <=nlstate+ndeath; j++){
                   8895:       if(j==i) continue;
                   8896:       jj++;
                   8897:       fprintf(ficparo,"%1d%1d",i,j);
                   8898:       printf("%1d%1d",i,j);
                   8899:       fflush(stdout);
                   8900:       for(k=1; k<=ncovmodel;k++){
                   8901:        /*      printf(" %le",delti3[i][j][k]); */
                   8902:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   8903:        printf(" 0.");
                   8904:        fprintf(ficparo," 0.");
                   8905:       }
                   8906:       numlinepar++;
                   8907:       printf("\n");
                   8908:       fprintf(ficparo,"\n");
                   8909:     }
                   8910:   }
                   8911:   printf("# Covariance matrix\n");
                   8912: /* # 121 Var(a12)\n\ */
                   8913: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   8914: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   8915: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   8916: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   8917: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   8918: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   8919: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   8920:   fflush(stdout);
                   8921:   fprintf(ficparo,"# Covariance matrix\n");
                   8922:   /* # 121 Var(a12)\n\ */
                   8923:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   8924:   /* #   ...\n\ */
                   8925:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   8926:   
                   8927:   for(itimes=1;itimes<=2;itimes++){
                   8928:     jj=0;
                   8929:     for(i=1; i <=nlstate; i++){
                   8930:       for(j=1; j <=nlstate+ndeath; j++){
                   8931:        if(j==i) continue;
                   8932:        for(k=1; k<=ncovmodel;k++){
                   8933:          jj++;
                   8934:          ca[0]= k+'a'-1;ca[1]='\0';
                   8935:          if(itimes==1){
                   8936:            printf("#%1d%1d%d",i,j,k);
                   8937:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   8938:          }else{
                   8939:            printf("%1d%1d%d",i,j,k);
                   8940:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   8941:            /*  printf(" %.5le",matcov[i][j]); */
                   8942:          }
                   8943:          ll=0;
                   8944:          for(li=1;li <=nlstate; li++){
                   8945:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   8946:              if(lj==li) continue;
                   8947:              for(lk=1;lk<=ncovmodel;lk++){
                   8948:                ll++;
                   8949:                if(ll<=jj){
                   8950:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   8951:                  if(ll<jj){
                   8952:                    if(itimes==1){
                   8953:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   8954:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   8955:                    }else{
                   8956:                      printf(" 0.");
                   8957:                      fprintf(ficparo," 0.");
                   8958:                    }
                   8959:                  }else{
                   8960:                    if(itimes==1){
                   8961:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   8962:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   8963:                    }else{
                   8964:                      printf(" 0.");
                   8965:                      fprintf(ficparo," 0.");
                   8966:                    }
                   8967:                  }
                   8968:                }
                   8969:              } /* end lk */
                   8970:            } /* end lj */
                   8971:          } /* end li */
                   8972:          printf("\n");
                   8973:          fprintf(ficparo,"\n");
                   8974:          numlinepar++;
                   8975:        } /* end k*/
                   8976:       } /*end j */
                   8977:     } /* end i */
                   8978:   } /* end itimes */
                   8979: 
                   8980: } /* end of prwizard */
                   8981: /******************* Gompertz Likelihood ******************************/
                   8982: double gompertz(double x[])
                   8983: { 
                   8984:   double A,B,L=0.0,sump=0.,num=0.;
                   8985:   int i,n=0; /* n is the size of the sample */
                   8986: 
1.220     brouard  8987:   for (i=1;i<=imx ; i++) {
1.126     brouard  8988:     sump=sump+weight[i];
                   8989:     /*    sump=sump+1;*/
                   8990:     num=num+1;
                   8991:   }
                   8992:  
                   8993:  
                   8994:   /* for (i=0; i<=imx; i++) 
                   8995:      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]);*/
                   8996: 
                   8997:   for (i=1;i<=imx ; i++)
                   8998:     {
                   8999:       if (cens[i] == 1 && wav[i]>1)
                   9000:        A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   9001:       
                   9002:       if (cens[i] == 0 && wav[i]>1)
                   9003:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                   9004:             +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
                   9005:       
                   9006:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   9007:       if (wav[i] > 1 ) { /* ??? */
                   9008:        L=L+A*weight[i];
                   9009:        /*      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]);*/
                   9010:       }
                   9011:     }
                   9012: 
                   9013:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   9014:  
                   9015:   return -2*L*num/sump;
                   9016: }
                   9017: 
1.136     brouard  9018: #ifdef GSL
                   9019: /******************* Gompertz_f Likelihood ******************************/
                   9020: double gompertz_f(const gsl_vector *v, void *params)
                   9021: { 
                   9022:   double A,B,LL=0.0,sump=0.,num=0.;
                   9023:   double *x= (double *) v->data;
                   9024:   int i,n=0; /* n is the size of the sample */
                   9025: 
                   9026:   for (i=0;i<=imx-1 ; i++) {
                   9027:     sump=sump+weight[i];
                   9028:     /*    sump=sump+1;*/
                   9029:     num=num+1;
                   9030:   }
                   9031:  
                   9032:  
                   9033:   /* for (i=0; i<=imx; i++) 
                   9034:      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]);*/
                   9035:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   9036:   for (i=1;i<=imx ; i++)
                   9037:     {
                   9038:       if (cens[i] == 1 && wav[i]>1)
                   9039:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   9040:       
                   9041:       if (cens[i] == 0 && wav[i]>1)
                   9042:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   9043:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   9044:       
                   9045:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   9046:       if (wav[i] > 1 ) { /* ??? */
                   9047:        LL=LL+A*weight[i];
                   9048:        /*      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]);*/
                   9049:       }
                   9050:     }
                   9051: 
                   9052:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   9053:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   9054:  
                   9055:   return -2*LL*num/sump;
                   9056: }
                   9057: #endif
                   9058: 
1.126     brouard  9059: /******************* Printing html file ***********/
1.201     brouard  9060: void printinghtmlmort(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  9061:                  int lastpass, int stepm, int weightopt, char model[],\
                   9062:                  int imx,  double p[],double **matcov,double agemortsup){
                   9063:   int i,k;
                   9064: 
                   9065:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   9066:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   9067:   for (i=1;i<=2;i++) 
                   9068:     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  9069:   fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
1.126     brouard  9070:   fprintf(fichtm,"</ul>");
                   9071: 
                   9072: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   9073: 
                   9074:  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>");
                   9075: 
                   9076:  for (k=agegomp;k<(agemortsup-2);k++) 
                   9077:    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]);
                   9078: 
                   9079:  
                   9080:   fflush(fichtm);
                   9081: }
                   9082: 
                   9083: /******************* Gnuplot file **************/
1.201     brouard  9084: void printinggnuplotmort(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
1.126     brouard  9085: 
                   9086:   char dirfileres[132],optfileres[132];
1.164     brouard  9087: 
1.126     brouard  9088:   int ng;
                   9089: 
                   9090: 
                   9091:   /*#ifdef windows */
                   9092:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   9093:     /*#endif */
                   9094: 
                   9095: 
                   9096:   strcpy(dirfileres,optionfilefiname);
                   9097:   strcpy(optfileres,"vpl");
1.199     brouard  9098:   fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
1.126     brouard  9099:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.199     brouard  9100:   fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
1.145     brouard  9101:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  9102:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   9103: 
                   9104: } 
                   9105: 
1.136     brouard  9106: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   9107: {
1.126     brouard  9108: 
1.136     brouard  9109:   /*-------- data file ----------*/
                   9110:   FILE *fic;
                   9111:   char dummy[]="                         ";
1.240     brouard  9112:   int i=0, j=0, n=0, iv=0, v;
1.223     brouard  9113:   int lstra;
1.136     brouard  9114:   int linei, month, year,iout;
                   9115:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  9116:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  9117:   char *stratrunc;
1.223     brouard  9118: 
1.240     brouard  9119:   DummyV=ivector(1,NCOVMAX); /* 1 to 3 */
                   9120:   FixedV=ivector(1,NCOVMAX); /* 1 to 3 */
1.126     brouard  9121: 
1.240     brouard  9122:   for(v=1; v <=ncovcol;v++){
                   9123:     DummyV[v]=0;
                   9124:     FixedV[v]=0;
                   9125:   }
                   9126:   for(v=ncovcol+1; v <=ncovcol+nqv;v++){
                   9127:     DummyV[v]=1;
                   9128:     FixedV[v]=0;
                   9129:   }
                   9130:   for(v=ncovcol+nqv+1; v <=ncovcol+nqv+ntv;v++){
                   9131:     DummyV[v]=0;
                   9132:     FixedV[v]=1;
                   9133:   }
                   9134:   for(v=ncovcol+nqv+ntv+1; v <=ncovcol+nqv+ntv+nqtv;v++){
                   9135:     DummyV[v]=1;
                   9136:     FixedV[v]=1;
                   9137:   }
                   9138:   for(v=1; v <=ncovcol+nqv+ntv+nqtv;v++){
                   9139:     printf("Covariate type in the data: V%d, DummyV(V%d)=%d, FixedV(V%d)=%d\n",v,v,DummyV[v],v,FixedV[v]);
                   9140:     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]);
                   9141:   }
1.126     brouard  9142: 
1.136     brouard  9143:   if((fic=fopen(datafile,"r"))==NULL)    {
1.218     brouard  9144:     printf("Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(stdout);
                   9145:     fprintf(ficlog,"Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(ficlog);return 1;
1.136     brouard  9146:   }
1.126     brouard  9147: 
1.136     brouard  9148:   i=1;
                   9149:   linei=0;
                   9150:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   9151:     linei=linei+1;
                   9152:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   9153:       if(line[j] == '\t')
                   9154:        line[j] = ' ';
                   9155:     }
                   9156:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   9157:       ;
                   9158:     };
                   9159:     line[j+1]=0;  /* Trims blanks at end of line */
                   9160:     if(line[0]=='#'){
                   9161:       fprintf(ficlog,"Comment line\n%s\n",line);
                   9162:       printf("Comment line\n%s\n",line);
                   9163:       continue;
                   9164:     }
                   9165:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  9166:     strcpy(line, linetmp);
1.223     brouard  9167:     
                   9168:     /* Loops on waves */
                   9169:     for (j=maxwav;j>=1;j--){
                   9170:       for (iv=nqtv;iv>=1;iv--){  /* Loop  on time varying quantitative variables */
1.238     brouard  9171:        cutv(stra, strb, line, ' '); 
                   9172:        if(strb[0]=='.') { /* Missing value */
                   9173:          lval=-1;
                   9174:          cotqvar[j][iv][i]=-1; /* 0.0/0.0 */
                   9175:          cotvar[j][ntv+iv][i]=-1; /* For performance reasons */
                   9176:          if(isalpha(strb[1])) { /* .m or .d Really Missing value */
                   9177:            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);
                   9178:            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);
                   9179:            return 1;
                   9180:          }
                   9181:        }else{
                   9182:          errno=0;
                   9183:          /* what_kind_of_number(strb); */
                   9184:          dval=strtod(strb,&endptr); 
                   9185:          /* if( strb[0]=='\0' || (*endptr != '\0')){ */
                   9186:          /* if(strb != endptr && *endptr == '\0') */
                   9187:          /*    dval=dlval; */
                   9188:          /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   9189:          if( strb[0]=='\0' || (*endptr != '\0')){
                   9190:            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);
                   9191:            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);
                   9192:            return 1;
                   9193:          }
                   9194:          cotqvar[j][iv][i]=dval; 
                   9195:          cotvar[j][ntv+iv][i]=dval; 
                   9196:        }
                   9197:        strcpy(line,stra);
1.223     brouard  9198:       }/* end loop ntqv */
1.225     brouard  9199:       
1.223     brouard  9200:       for (iv=ntv;iv>=1;iv--){  /* Loop  on time varying dummies */
1.238     brouard  9201:        cutv(stra, strb, line, ' '); 
                   9202:        if(strb[0]=='.') { /* Missing value */
                   9203:          lval=-1;
                   9204:        }else{
                   9205:          errno=0;
                   9206:          lval=strtol(strb,&endptr,10); 
                   9207:          /*    if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   9208:          if( strb[0]=='\0' || (*endptr != '\0')){
                   9209:            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);
                   9210:            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);
                   9211:            return 1;
                   9212:          }
                   9213:        }
                   9214:        if(lval <-1 || lval >1){
                   9215:          printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  9216:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9217:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.238     brouard  9218:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9219:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9220:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  9221:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.238     brouard  9222:  output of IMaCh is often meaningless.\n                               \
1.223     brouard  9223:  Exiting.\n",lval,linei, i,line,j);
1.238     brouard  9224:          fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  9225:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9226:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.238     brouard  9227:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9228:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9229:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  9230:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.238     brouard  9231:  output of IMaCh is often meaningless.\n                               \
1.223     brouard  9232:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.238     brouard  9233:          return 1;
                   9234:        }
                   9235:        cotvar[j][iv][i]=(double)(lval);
                   9236:        strcpy(line,stra);
1.223     brouard  9237:       }/* end loop ntv */
1.225     brouard  9238:       
1.223     brouard  9239:       /* Statuses  at wave */
1.137     brouard  9240:       cutv(stra, strb, line, ' '); 
1.223     brouard  9241:       if(strb[0]=='.') { /* Missing value */
1.238     brouard  9242:        lval=-1;
1.136     brouard  9243:       }else{
1.238     brouard  9244:        errno=0;
                   9245:        lval=strtol(strb,&endptr,10); 
                   9246:        /*      if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   9247:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9248:          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);
                   9249:          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);
                   9250:          return 1;
                   9251:        }
1.136     brouard  9252:       }
1.225     brouard  9253:       
1.136     brouard  9254:       s[j][i]=lval;
1.225     brouard  9255:       
1.223     brouard  9256:       /* Date of Interview */
1.136     brouard  9257:       strcpy(line,stra);
                   9258:       cutv(stra, strb,line,' ');
1.169     brouard  9259:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9260:       }
1.169     brouard  9261:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.225     brouard  9262:        month=99;
                   9263:        year=9999;
1.136     brouard  9264:       }else{
1.225     brouard  9265:        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);
                   9266:        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);
                   9267:        return 1;
1.136     brouard  9268:       }
                   9269:       anint[j][i]= (double) year; 
                   9270:       mint[j][i]= (double)month; 
                   9271:       strcpy(line,stra);
1.223     brouard  9272:     } /* End loop on waves */
1.225     brouard  9273:     
1.223     brouard  9274:     /* Date of death */
1.136     brouard  9275:     cutv(stra, strb,line,' '); 
1.169     brouard  9276:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9277:     }
1.169     brouard  9278:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  9279:       month=99;
                   9280:       year=9999;
                   9281:     }else{
1.141     brouard  9282:       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  9283:       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);
                   9284:       return 1;
1.136     brouard  9285:     }
                   9286:     andc[i]=(double) year; 
                   9287:     moisdc[i]=(double) month; 
                   9288:     strcpy(line,stra);
                   9289:     
1.223     brouard  9290:     /* Date of birth */
1.136     brouard  9291:     cutv(stra, strb,line,' '); 
1.169     brouard  9292:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  9293:     }
1.169     brouard  9294:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  9295:       month=99;
                   9296:       year=9999;
                   9297:     }else{
1.141     brouard  9298:       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);
                   9299:       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  9300:       return 1;
1.136     brouard  9301:     }
                   9302:     if (year==9999) {
1.141     brouard  9303:       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);
                   9304:       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  9305:       return 1;
                   9306:       
1.136     brouard  9307:     }
                   9308:     annais[i]=(double)(year);
                   9309:     moisnais[i]=(double)(month); 
                   9310:     strcpy(line,stra);
1.225     brouard  9311:     
1.223     brouard  9312:     /* Sample weight */
1.136     brouard  9313:     cutv(stra, strb,line,' '); 
                   9314:     errno=0;
                   9315:     dval=strtod(strb,&endptr); 
                   9316:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  9317:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   9318:       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  9319:       fflush(ficlog);
                   9320:       return 1;
                   9321:     }
                   9322:     weight[i]=dval; 
                   9323:     strcpy(line,stra);
1.225     brouard  9324:     
1.223     brouard  9325:     for (iv=nqv;iv>=1;iv--){  /* Loop  on fixed quantitative variables */
                   9326:       cutv(stra, strb, line, ' '); 
                   9327:       if(strb[0]=='.') { /* Missing value */
1.225     brouard  9328:        lval=-1;
1.223     brouard  9329:       }else{
1.225     brouard  9330:        errno=0;
                   9331:        /* what_kind_of_number(strb); */
                   9332:        dval=strtod(strb,&endptr);
                   9333:        /* if(strb != endptr && *endptr == '\0') */
                   9334:        /*   dval=dlval; */
                   9335:        /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   9336:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9337:          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);
                   9338:          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);
                   9339:          return 1;
                   9340:        }
                   9341:        coqvar[iv][i]=dval; 
1.226     brouard  9342:        covar[ncovcol+iv][i]=dval; /* including qvar in standard covar for performance reasons */ 
1.223     brouard  9343:       }
                   9344:       strcpy(line,stra);
                   9345:     }/* end loop nqv */
1.136     brouard  9346:     
1.223     brouard  9347:     /* Covariate values */
1.136     brouard  9348:     for (j=ncovcol;j>=1;j--){
                   9349:       cutv(stra, strb,line,' '); 
1.223     brouard  9350:       if(strb[0]=='.') { /* Missing covariate value */
1.225     brouard  9351:        lval=-1;
1.136     brouard  9352:       }else{
1.225     brouard  9353:        errno=0;
                   9354:        lval=strtol(strb,&endptr,10); 
                   9355:        if( strb[0]=='\0' || (*endptr != '\0')){
                   9356:          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);
                   9357:          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);
                   9358:          return 1;
                   9359:        }
1.136     brouard  9360:       }
                   9361:       if(lval <-1 || lval >1){
1.225     brouard  9362:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  9363:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9364:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  9365:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9366:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9367:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  9368:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  9369:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  9370:  Exiting.\n",lval,linei, i,line,j);
1.225     brouard  9371:        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  9372:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   9373:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  9374:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   9375:  build V1=0 V2=0 for the reference value (1),\n                                \
                   9376:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  9377:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  9378:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  9379:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.225     brouard  9380:        return 1;
1.136     brouard  9381:       }
                   9382:       covar[j][i]=(double)(lval);
                   9383:       strcpy(line,stra);
                   9384:     }  
                   9385:     lstra=strlen(stra);
1.225     brouard  9386:     
1.136     brouard  9387:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   9388:       stratrunc = &(stra[lstra-9]);
                   9389:       num[i]=atol(stratrunc);
                   9390:     }
                   9391:     else
                   9392:       num[i]=atol(stra);
                   9393:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   9394:       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;}*/
                   9395:     
                   9396:     i=i+1;
                   9397:   } /* End loop reading  data */
1.225     brouard  9398:   
1.136     brouard  9399:   *imax=i-1; /* Number of individuals */
                   9400:   fclose(fic);
1.225     brouard  9401:   
1.136     brouard  9402:   return (0);
1.164     brouard  9403:   /* endread: */
1.225     brouard  9404:   printf("Exiting readdata: ");
                   9405:   fclose(fic);
                   9406:   return (1);
1.223     brouard  9407: }
1.126     brouard  9408: 
1.234     brouard  9409: void removefirstspace(char **stri){/*, char stro[]) {*/
1.230     brouard  9410:   char *p1 = *stri, *p2 = *stri;
1.235     brouard  9411:   while (*p2 == ' ')
1.234     brouard  9412:     p2++; 
                   9413:   /* while ((*p1++ = *p2++) !=0) */
                   9414:   /*   ; */
                   9415:   /* do */
                   9416:   /*   while (*p2 == ' ') */
                   9417:   /*     p2++; */
                   9418:   /* while (*p1++ == *p2++); */
                   9419:   *stri=p2; 
1.145     brouard  9420: }
                   9421: 
1.235     brouard  9422: int decoderesult ( char resultline[], int nres)
1.230     brouard  9423: /**< This routine decode one result line and returns the combination # of dummy covariates only **/
                   9424: {
1.235     brouard  9425:   int j=0, k=0, k1=0, k2=0, k3=0, k4=0, match=0, k2q=0, k3q=0, k4q=0;
1.230     brouard  9426:   char resultsav[MAXLINE];
1.234     brouard  9427:   int resultmodel[MAXLINE];
                   9428:   int modelresult[MAXLINE];
1.230     brouard  9429:   char stra[80], strb[80], strc[80], strd[80],stre[80];
                   9430: 
1.234     brouard  9431:   removefirstspace(&resultline);
1.233     brouard  9432:   printf("decoderesult:%s\n",resultline);
1.230     brouard  9433: 
                   9434:   if (strstr(resultline,"v") !=0){
                   9435:     printf("Error. 'v' must be in upper case 'V' result: %s ",resultline);
                   9436:     fprintf(ficlog,"Error. 'v' must be in upper case result: %s ",resultline);fflush(ficlog);
                   9437:     return 1;
                   9438:   }
                   9439:   trimbb(resultsav, resultline);
                   9440:   if (strlen(resultsav) >1){
                   9441:     j=nbocc(resultsav,'='); /**< j=Number of covariate values'=' */
                   9442:   }
1.253     brouard  9443:   if(j == 0){ /* Resultline but no = */
                   9444:     TKresult[nres]=0; /* Combination for the nresult and the model */
                   9445:     return (0);
                   9446:   }
                   9447:     
1.234     brouard  9448:   if( j != cptcovs ){ /* Be careful if a variable is in a product but not single */
                   9449:     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);
                   9450:     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);
                   9451:   }
                   9452:   for(k=1; k<=j;k++){ /* Loop on any covariate of the result line */
                   9453:     if(nbocc(resultsav,'=') >1){
                   9454:        cutl(stra,strb,resultsav,' '); /* keeps in strb after the first ' ' 
                   9455:                                      resultsav= V4=1 V5=25.1 V3=0 strb=V3=0 stra= V4=1 V5=25.1 */
                   9456:        cutl(strc,strd,strb,'=');  /* strb:V4=1 strc=1 strd=V4 */
                   9457:     }else
                   9458:       cutl(strc,strd,resultsav,'=');
1.230     brouard  9459:     Tvalsel[k]=atof(strc); /* 1 */
1.234     brouard  9460:     
1.230     brouard  9461:     cutl(strc,stre,strd,'V'); /* strd='V4' strc=4 stre='V' */;
                   9462:     Tvarsel[k]=atoi(strc);
                   9463:     /* Typevarsel[k]=1;  /\* 1 for age product *\/ */
                   9464:     /* cptcovsel++;     */
                   9465:     if (nbocc(stra,'=') >0)
                   9466:       strcpy(resultsav,stra); /* and analyzes it */
                   9467:   }
1.235     brouard  9468:   /* Checking for missing or useless values in comparison of current model needs */
1.236     brouard  9469:   for(k1=1; k1<= cptcovt ;k1++){ /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9470:     if(Typevar[k1]==0){ /* Single covariate in model */
1.234     brouard  9471:       match=0;
1.236     brouard  9472:       for(k2=1; k2 <=j;k2++){/* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
1.237     brouard  9473:        if(Tvar[k1]==Tvarsel[k2]) {/* Tvar[1]=5 == Tvarsel[2]=5   */
1.236     brouard  9474:          modelresult[k2]=k1;/* modelresult[2]=1 modelresult[1]=2  modelresult[3]=3  modelresult[6]=4 modelresult[9]=5 */
1.234     brouard  9475:          match=1;
                   9476:          break;
                   9477:        }
                   9478:       }
                   9479:       if(match == 0){
                   9480:        printf("Error in result line: %d value missing; result: %s, model=%s\n",k1, resultline, model);
                   9481:       }
                   9482:     }
                   9483:   }
1.235     brouard  9484:   /* Checking for missing or useless values in comparison of current model needs */
                   9485:   for(k2=1; k2 <=j;k2++){ /* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
1.234     brouard  9486:     match=0;
1.235     brouard  9487:     for(k1=1; k1<= cptcovt ;k1++){ /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9488:       if(Typevar[k1]==0){ /* Single */
1.237     brouard  9489:        if(Tvar[k1]==Tvarsel[k2]) { /* Tvar[2]=4 == Tvarsel[1]=4   */
1.235     brouard  9490:          resultmodel[k1]=k2;  /* resultmodel[2]=1 resultmodel[1]=2  resultmodel[3]=3  resultmodel[6]=4 resultmodel[9]=5 */
1.234     brouard  9491:          ++match;
                   9492:        }
                   9493:       }
                   9494:     }
                   9495:     if(match == 0){
                   9496:       printf("Error in result line: %d value missing; result: %s, model=%s\n",k1, resultline, model);
                   9497:     }else if(match > 1){
                   9498:       printf("Error in result line: %d doubled; result: %s, model=%s\n",k2, resultline, model);
                   9499:     }
                   9500:   }
1.235     brouard  9501:       
1.234     brouard  9502:   /* We need to deduce which combination number is chosen and save quantitative values */
1.235     brouard  9503:   /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9504:   /* result line V4=1 V5=25.1 V3=0  V2=8 V1=1 */
                   9505:   /* should give a combination of dummy V4=1, V3=0, V1=1 => V4*2**(0) + V3*2**(1) + V1*2**(2) = 5 + (1offset) = 6*/
                   9506:   /* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
                   9507:   /* should give a combination of dummy V4=1, V3=1, V1=0 => V4*2**(0) + V3*2**(1) + V1*2**(2) = 3 + (1offset) = 4*/
                   9508:   /*    1 0 0 0 */
                   9509:   /*    2 1 0 0 */
                   9510:   /*    3 0 1 0 */ 
                   9511:   /*    4 1 1 0 */ /* V4=1, V3=1, V1=0 */
                   9512:   /*    5 0 0 1 */
                   9513:   /*    6 1 0 1 */ /* V4=1, V3=0, V1=1 */
                   9514:   /*    7 0 1 1 */
                   9515:   /*    8 1 1 1 */
1.237     brouard  9516:   /* V(Tvresult)=Tresult V4=1 V3=0 V1=1 Tresult[nres=1][2]=0 */
                   9517:   /* V(Tvqresult)=Tqresult V5=25.1 V2=8 Tqresult[nres=1][1]=25.1 */
                   9518:   /* V5*age V5 known which value for nres?  */
                   9519:   /* Tqinvresult[2]=8 Tqinvresult[1]=25.1  */
1.235     brouard  9520:   for(k1=1, k=0, k4=0, k4q=0; k1 <=cptcovt;k1++){ /* model line */
                   9521:     if( Dummy[k1]==0 && Typevar[k1]==0 ){ /* Single dummy */
1.237     brouard  9522:       k3= resultmodel[k1]; /* resultmodel[2(V4)] = 1=k3 */
1.235     brouard  9523:       k2=(int)Tvarsel[k3]; /*  Tvarsel[resultmodel[2]]= Tvarsel[1] = 4=k2 */
                   9524:       k+=Tvalsel[k3]*pow(2,k4);  /*  Tvalsel[1]=1  */
1.237     brouard  9525:       Tresult[nres][k4+1]=Tvalsel[k3];/* Tresult[nres][1]=1(V4=1)  Tresult[nres][2]=0(V3=0) */
                   9526:       Tvresult[nres][k4+1]=(int)Tvarsel[k3];/* Tvresult[nres][1]=4 Tvresult[nres][3]=1 */
                   9527:       Tinvresult[nres][(int)Tvarsel[k3]]=Tvalsel[k3]; /* Tinvresult[nres][4]=1 */
1.235     brouard  9528:       printf("Decoderesult Dummy k=%d, V(k2=V%d)= Tvalsel[%d]=%d, 2**(%d)\n",k, k2, k3, (int)Tvalsel[k3], k4);
                   9529:       k4++;;
                   9530:     }  else if( Dummy[k1]==1 && Typevar[k1]==0 ){ /* Single quantitative */
                   9531:       k3q= resultmodel[k1]; /* resultmodel[2] = 1=k3 */
                   9532:       k2q=(int)Tvarsel[k3q]; /*  Tvarsel[resultmodel[2]]= Tvarsel[1] = 4=k2 */
1.237     brouard  9533:       Tqresult[nres][k4q+1]=Tvalsel[k3q]; /* Tqresult[nres][1]=25.1 */
                   9534:       Tvqresult[nres][k4q+1]=(int)Tvarsel[k3q]; /* Tvqresult[nres][1]=5 */
                   9535:       Tqinvresult[nres][(int)Tvarsel[k3q]]=Tvalsel[k3q]; /* Tqinvresult[nres][5]=25.1 */
1.235     brouard  9536:       printf("Decoderesult Quantitative nres=%d, V(k2q=V%d)= Tvalsel[%d]=%d, Tvarsel[%d]=%f\n",nres, k2q, k3q, Tvarsel[k3q], k3q, Tvalsel[k3q]);
                   9537:       k4q++;;
                   9538:     }
                   9539:   }
1.234     brouard  9540:   
1.235     brouard  9541:   TKresult[nres]=++k; /* Combination for the nresult and the model */
1.230     brouard  9542:   return (0);
                   9543: }
1.235     brouard  9544: 
1.230     brouard  9545: int decodemodel( char model[], int lastobs)
                   9546:  /**< This routine decodes the model and returns:
1.224     brouard  9547:        * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   9548:        * - nagesqr = 1 if age*age in the model, otherwise 0.
                   9549:        * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   9550:        * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
                   9551:        * - cptcovage number of covariates with age*products =2
                   9552:        * - cptcovs number of simple covariates
                   9553:        * - 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
                   9554:        *     which is a new column after the 9 (ncovcol) variables. 
                   9555:        * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
                   9556:        * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   9557:        *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   9558:        * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   9559:        */
1.136     brouard  9560: {
1.238     brouard  9561:   int i, j, k, ks, v;
1.227     brouard  9562:   int  j1, k1, k2, k3, k4;
1.136     brouard  9563:   char modelsav[80];
1.145     brouard  9564:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  9565:   char *strpt;
1.136     brouard  9566: 
1.145     brouard  9567:   /*removespace(model);*/
1.136     brouard  9568:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  9569:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  9570:     if (strstr(model,"AGE") !=0){
1.192     brouard  9571:       printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
                   9572:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
1.136     brouard  9573:       return 1;
                   9574:     }
1.141     brouard  9575:     if (strstr(model,"v") !=0){
                   9576:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   9577:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   9578:       return 1;
                   9579:     }
1.187     brouard  9580:     strcpy(modelsav,model); 
                   9581:     if ((strpt=strstr(model,"age*age")) !=0){
                   9582:       printf(" strpt=%s, model=%s\n",strpt, model);
                   9583:       if(strpt != model){
1.234     brouard  9584:        printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  9585:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  9586:  corresponding column of parameters.\n",model);
1.234     brouard  9587:        fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  9588:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  9589:  corresponding column of parameters.\n",model); fflush(ficlog);
1.234     brouard  9590:        return 1;
1.225     brouard  9591:       }
1.187     brouard  9592:       nagesqr=1;
                   9593:       if (strstr(model,"+age*age") !=0)
1.234     brouard  9594:        substrchaine(modelsav, model, "+age*age");
1.187     brouard  9595:       else if (strstr(model,"age*age+") !=0)
1.234     brouard  9596:        substrchaine(modelsav, model, "age*age+");
1.187     brouard  9597:       else 
1.234     brouard  9598:        substrchaine(modelsav, model, "age*age");
1.187     brouard  9599:     }else
                   9600:       nagesqr=0;
                   9601:     if (strlen(modelsav) >1){
                   9602:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   9603:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
1.224     brouard  9604:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =5-3=2  */
1.187     brouard  9605:       cptcovt= j+1; /* Number of total covariates in the model, not including
1.225     brouard  9606:                     * cst, age and age*age 
                   9607:                     * V1+V1*age+ V3 + V3*V4+age*age=> 3+1=4*/
                   9608:       /* including age products which are counted in cptcovage.
                   9609:        * but the covariates which are products must be treated 
                   9610:        * separately: ncovn=4- 2=2 (V1+V3). */
1.187     brouard  9611:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   9612:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
1.225     brouard  9613:       
                   9614:       
1.187     brouard  9615:       /*   Design
                   9616:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   9617:        *  <          ncovcol=8                >
                   9618:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   9619:        *   k=  1    2      3       4     5       6      7        8
                   9620:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   9621:        *  covar[k,i], value of kth covariate if not including age for individual i:
1.224     brouard  9622:        *       covar[1][i]= (V1), covar[4][i]=(V4), covar[8][i]=(V8)
                   9623:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[2]=1 Tvar[4]=3 Tvar[8]=8
1.187     brouard  9624:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   9625:        *  Tage[++cptcovage]=k
                   9626:        *       if products, new covar are created after ncovcol with k1
                   9627:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   9628:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   9629:        *  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
                   9630:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   9631:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   9632:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   9633:        *  <          ncovcol=8                >
                   9634:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   9635:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   9636:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
                   9637:        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   9638:        * p Tprod[1]@2={                         6, 5}
                   9639:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   9640:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   9641:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                   9642:        *How to reorganize?
                   9643:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   9644:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   9645:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   9646:        * Struct []
                   9647:        */
1.225     brouard  9648:       
1.187     brouard  9649:       /* This loop fills the array Tvar from the string 'model'.*/
                   9650:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   9651:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   9652:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   9653:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   9654:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   9655:       /*       k=1 Tvar[1]=2 (from V2) */
                   9656:       /*       k=5 Tvar[5] */
                   9657:       /* for (k=1; k<=cptcovn;k++) { */
1.198     brouard  9658:       /*       cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.187     brouard  9659:       /*       } */
1.198     brouard  9660:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
1.187     brouard  9661:       /*
                   9662:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
1.227     brouard  9663:       for(k=cptcovt; k>=1;k--){ /**< Number of covariates not including constant and age, neither age*age*/
                   9664:         Tvar[k]=0; Tprod[k]=0; Tposprod[k]=0;
                   9665:       }
1.187     brouard  9666:       cptcovage=0;
                   9667:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
1.234     brouard  9668:        cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
1.225     brouard  9669:                                         modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
1.234     brouard  9670:        if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
                   9671:        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                   9672:        /*scanf("%d",i);*/
                   9673:        if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
                   9674:          cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
                   9675:          if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                   9676:            /* covar is not filled and then is empty */
                   9677:            cptcovprod--;
                   9678:            cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                   9679:            Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
                   9680:            Typevar[k]=1;  /* 1 for age product */
                   9681:            cptcovage++; /* Sums the number of covariates which include age as a product */
                   9682:            Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
                   9683:            /*printf("stre=%s ", stre);*/
                   9684:          } else if (strcmp(strd,"age")==0) { /* or age*Vn */
                   9685:            cptcovprod--;
                   9686:            cutl(stre,strb,strc,'V');
                   9687:            Tvar[k]=atoi(stre);
                   9688:            Typevar[k]=1;  /* 1 for age product */
                   9689:            cptcovage++;
                   9690:            Tage[cptcovage]=k;
                   9691:          } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                   9692:            /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                   9693:            cptcovn++;
                   9694:            cptcovprodnoage++;k1++;
                   9695:            cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                   9696:            Tvar[k]=ncovcol+nqv+ntv+nqtv+k1; /* For model-covariate k tells which data-covariate to use but
                   9697:                                                because this model-covariate is a construction we invent a new column
                   9698:                                                which is after existing variables ncovcol+nqv+ntv+nqtv + k1
                   9699:                                                If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                   9700:                                                Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
                   9701:            Typevar[k]=2;  /* 2 for double fixed dummy covariates */
                   9702:            cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                   9703:            Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
                   9704:            Tposprod[k]=k1; /* Tpsprod[3]=1, Tposprod[2]=5 */
                   9705:            Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                   9706:            Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                   9707:            k2=k2+2;  /* k2 is initialize to -1, We want to store the n and m in Vn*Vm at the end of Tvar */
                   9708:            /* Tvar[cptcovt+k2]=Tvard[k1][1]; /\* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) *\/ */
                   9709:            /* Tvar[cptcovt+k2+1]=Tvard[k1][2];  /\* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) *\/ */
1.225     brouard  9710:             /*ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2, Tvar[3]=5, Tvar[4]=6, cptcovt=5 */
1.234     brouard  9711:            /*                     1  2   3      4     5 | Tvar[5+1)=1, Tvar[7]=2   */
                   9712:            for (i=1; i<=lastobs;i++){
                   9713:              /* Computes the new covariate which is a product of
                   9714:                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                   9715:              covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   9716:            }
                   9717:          } /* End age is not in the model */
                   9718:        } /* End if model includes a product */
                   9719:        else { /* no more sum */
                   9720:          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                   9721:          /*  scanf("%d",i);*/
                   9722:          cutl(strd,strc,strb,'V');
                   9723:          ks++; /**< Number of simple covariates dummy or quantitative, fixe or varying */
                   9724:          cptcovn++; /** V4+V3+V5: V4 and V3 timevarying dummy covariates, V5 timevarying quantitative */
                   9725:          Tvar[k]=atoi(strd);
                   9726:          Typevar[k]=0;  /* 0 for simple covariates */
                   9727:        }
                   9728:        strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
1.223     brouard  9729:                                /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
1.225     brouard  9730:                                  scanf("%d",i);*/
1.187     brouard  9731:       } /* end of loop + on total covariates */
                   9732:     } /* end if strlen(modelsave == 0) age*age might exist */
                   9733:   } /* end if strlen(model == 0) */
1.136     brouard  9734:   
                   9735:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   9736:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
1.225     brouard  9737:   
1.136     brouard  9738:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
1.225     brouard  9739:      printf("cptcovprod=%d ", cptcovprod);
                   9740:      fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
                   9741:      scanf("%d ",i);*/
                   9742: 
                   9743: 
1.230     brouard  9744: /* Until here, decodemodel knows only the grammar (simple, product, age*) of the model but not what kind
                   9745:    of variable (dummy vs quantitative, fixed vs time varying) is behind. But we know the # of each. */
1.226     brouard  9746: /* ncovcol= 1, nqv=1 | ntv=2, nqtv= 1  = 5 possible variables data: 2 fixed 3, varying
                   9747:    model=        V5 + V4 +V3 + V4*V3 + V5*age + V2 + V1*V2 + V1*age + V5*age, V1 is not used saving its place
                   9748:    k =           1    2   3     4       5       6      7      8        9
                   9749:    Tvar[k]=      5    4   3 1+1+2+1+1=6 5       2      7      1        5
                   9750:    Typevar[k]=   0    0   0     2       1       0      2      1        1
1.227     brouard  9751:    Fixed[k]      1    1   1     1       3       0    0 or 2   2        3
                   9752:    Dummy[k]      1    0   0     0       3       1      1      2        3
                   9753:          Tmodelind[combination of covar]=k;
1.225     brouard  9754: */  
                   9755: /* Dispatching between quantitative and time varying covariates */
1.226     brouard  9756:   /* If Tvar[k] >ncovcol it is a product */
1.225     brouard  9757:   /* 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  9758:        /* Computing effective variables, ie used by the model, that is from the cptcovt variables */
1.227     brouard  9759:   printf("Model=%s\n\
                   9760: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   9761: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   9762: 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);
                   9763:   fprintf(ficlog,"Model=%s\n\
                   9764: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   9765: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   9766: 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  9767:   for(k=-1;k<=cptcovt; k++){ Fixed[k]=0; Dummy[k]=0;}
1.234     brouard  9768:   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 */
                   9769:     if (Tvar[k] <=ncovcol && Typevar[k]==0 ){ /* Simple fixed dummy (<=ncovcol) covariates */
1.227     brouard  9770:       Fixed[k]= 0;
                   9771:       Dummy[k]= 0;
1.225     brouard  9772:       ncoveff++;
1.232     brouard  9773:       ncovf++;
1.234     brouard  9774:       nsd++;
                   9775:       modell[k].maintype= FTYPE;
                   9776:       TvarsD[nsd]=Tvar[k];
                   9777:       TvarsDind[nsd]=k;
                   9778:       TvarF[ncovf]=Tvar[k];
                   9779:       TvarFind[ncovf]=k;
                   9780:       TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9781:       TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   9782:     }else if( Tvar[k] <=ncovcol &&  Typevar[k]==2){ /* Product of fixed dummy (<=ncovcol) covariates */
                   9783:       Fixed[k]= 0;
                   9784:       Dummy[k]= 0;
                   9785:       ncoveff++;
                   9786:       ncovf++;
                   9787:       modell[k].maintype= FTYPE;
                   9788:       TvarF[ncovf]=Tvar[k];
                   9789:       TvarFind[ncovf]=k;
1.230     brouard  9790:       TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
1.231     brouard  9791:       TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
1.240     brouard  9792:     }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  9793:       Fixed[k]= 0;
                   9794:       Dummy[k]= 1;
1.230     brouard  9795:       nqfveff++;
1.234     brouard  9796:       modell[k].maintype= FTYPE;
                   9797:       modell[k].subtype= FQ;
                   9798:       nsq++;
                   9799:       TvarsQ[nsq]=Tvar[k];
                   9800:       TvarsQind[nsq]=k;
1.232     brouard  9801:       ncovf++;
1.234     brouard  9802:       TvarF[ncovf]=Tvar[k];
                   9803:       TvarFind[ncovf]=k;
1.231     brouard  9804:       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  9805:       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  9806:     }else if( Tvar[k] <=ncovcol+nqv+ntv && Typevar[k]==0){/* Only simple time varying dummy variables */
1.227     brouard  9807:       Fixed[k]= 1;
                   9808:       Dummy[k]= 0;
1.225     brouard  9809:       ntveff++; /* Only simple time varying dummy variable */
1.234     brouard  9810:       modell[k].maintype= VTYPE;
                   9811:       modell[k].subtype= VD;
                   9812:       nsd++;
                   9813:       TvarsD[nsd]=Tvar[k];
                   9814:       TvarsDind[nsd]=k;
                   9815:       ncovv++; /* Only simple time varying variables */
                   9816:       TvarV[ncovv]=Tvar[k];
1.242     brouard  9817:       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  9818:       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 */
                   9819:       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  9820:       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);
                   9821:       printf("Quasi TmodelInvind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv);
1.231     brouard  9822:     }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv  && Typevar[k]==0){ /* Only simple time varying quantitative variable V5*/
1.234     brouard  9823:       Fixed[k]= 1;
                   9824:       Dummy[k]= 1;
                   9825:       nqtveff++;
                   9826:       modell[k].maintype= VTYPE;
                   9827:       modell[k].subtype= VQ;
                   9828:       ncovv++; /* Only simple time varying variables */
                   9829:       nsq++;
                   9830:       TvarsQ[nsq]=Tvar[k];
                   9831:       TvarsQind[nsq]=k;
                   9832:       TvarV[ncovv]=Tvar[k];
1.242     brouard  9833:       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  9834:       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 */
                   9835:       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  9836:       TmodelInvQind[nqtveff]=Tvar[k]- ncovcol-nqv-ntv;/* Only simple time varying quantitative variable */
                   9837:       /* Tmodeliqind[k]=nqtveff;/\* Only simple time varying quantitative variable *\/ */
                   9838:       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  9839:       printf("Quasi TmodelInvQind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv-ntv);
1.227     brouard  9840:     }else if (Typevar[k] == 1) {  /* product with age */
1.234     brouard  9841:       ncova++;
                   9842:       TvarA[ncova]=Tvar[k];
                   9843:       TvarAind[ncova]=k;
1.231     brouard  9844:       if (Tvar[k] <=ncovcol ){ /* Product age with fixed dummy covariatee */
1.240     brouard  9845:        Fixed[k]= 2;
                   9846:        Dummy[k]= 2;
                   9847:        modell[k].maintype= ATYPE;
                   9848:        modell[k].subtype= APFD;
                   9849:        /* ncoveff++; */
1.227     brouard  9850:       }else if( Tvar[k] <=ncovcol+nqv) { /* Remind that product Vn*Vm are added in k*/
1.240     brouard  9851:        Fixed[k]= 2;
                   9852:        Dummy[k]= 3;
                   9853:        modell[k].maintype= ATYPE;
                   9854:        modell[k].subtype= APFQ;                /*      Product age * fixed quantitative */
                   9855:        /* nqfveff++;  /\* Only simple fixed quantitative variable *\/ */
1.227     brouard  9856:       }else if( Tvar[k] <=ncovcol+nqv+ntv ){
1.240     brouard  9857:        Fixed[k]= 3;
                   9858:        Dummy[k]= 2;
                   9859:        modell[k].maintype= ATYPE;
                   9860:        modell[k].subtype= APVD;                /*      Product age * varying dummy */
                   9861:        /* ntveff++; /\* Only simple time varying dummy variable *\/ */
1.227     brouard  9862:       }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv){
1.240     brouard  9863:        Fixed[k]= 3;
                   9864:        Dummy[k]= 3;
                   9865:        modell[k].maintype= ATYPE;
                   9866:        modell[k].subtype= APVQ;                /*      Product age * varying quantitative */
                   9867:        /* nqtveff++;/\* Only simple time varying quantitative variable *\/ */
1.227     brouard  9868:       }
                   9869:     }else if (Typevar[k] == 2) {  /* product without age */
                   9870:       k1=Tposprod[k];
                   9871:       if(Tvard[k1][1] <=ncovcol){
1.240     brouard  9872:        if(Tvard[k1][2] <=ncovcol){
                   9873:          Fixed[k]= 1;
                   9874:          Dummy[k]= 0;
                   9875:          modell[k].maintype= FTYPE;
                   9876:          modell[k].subtype= FPDD;              /*      Product fixed dummy * fixed dummy */
                   9877:          ncovf++; /* Fixed variables without age */
                   9878:          TvarF[ncovf]=Tvar[k];
                   9879:          TvarFind[ncovf]=k;
                   9880:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   9881:          Fixed[k]= 0;  /* or 2 ?*/
                   9882:          Dummy[k]= 1;
                   9883:          modell[k].maintype= FTYPE;
                   9884:          modell[k].subtype= FPDQ;              /*      Product fixed dummy * fixed quantitative */
                   9885:          ncovf++; /* Varying variables without age */
                   9886:          TvarF[ncovf]=Tvar[k];
                   9887:          TvarFind[ncovf]=k;
                   9888:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   9889:          Fixed[k]= 1;
                   9890:          Dummy[k]= 0;
                   9891:          modell[k].maintype= VTYPE;
                   9892:          modell[k].subtype= VPDD;              /*      Product fixed dummy * varying dummy */
                   9893:          ncovv++; /* Varying variables without age */
                   9894:          TvarV[ncovv]=Tvar[k];
                   9895:          TvarVind[ncovv]=k;
                   9896:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   9897:          Fixed[k]= 1;
                   9898:          Dummy[k]= 1;
                   9899:          modell[k].maintype= VTYPE;
                   9900:          modell[k].subtype= VPDQ;              /*      Product fixed dummy * varying quantitative */
                   9901:          ncovv++; /* Varying variables without age */
                   9902:          TvarV[ncovv]=Tvar[k];
                   9903:          TvarVind[ncovv]=k;
                   9904:        }
1.227     brouard  9905:       }else if(Tvard[k1][1] <=ncovcol+nqv){
1.240     brouard  9906:        if(Tvard[k1][2] <=ncovcol){
                   9907:          Fixed[k]= 0;  /* or 2 ?*/
                   9908:          Dummy[k]= 1;
                   9909:          modell[k].maintype= FTYPE;
                   9910:          modell[k].subtype= FPDQ;              /*      Product fixed quantitative * fixed dummy */
                   9911:          ncovf++; /* Fixed variables without age */
                   9912:          TvarF[ncovf]=Tvar[k];
                   9913:          TvarFind[ncovf]=k;
                   9914:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   9915:          Fixed[k]= 1;
                   9916:          Dummy[k]= 1;
                   9917:          modell[k].maintype= VTYPE;
                   9918:          modell[k].subtype= VPDQ;              /*      Product fixed quantitative * varying dummy */
                   9919:          ncovv++; /* Varying variables without age */
                   9920:          TvarV[ncovv]=Tvar[k];
                   9921:          TvarVind[ncovv]=k;
                   9922:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   9923:          Fixed[k]= 1;
                   9924:          Dummy[k]= 1;
                   9925:          modell[k].maintype= VTYPE;
                   9926:          modell[k].subtype= VPQQ;              /*      Product fixed quantitative * varying quantitative */
                   9927:          ncovv++; /* Varying variables without age */
                   9928:          TvarV[ncovv]=Tvar[k];
                   9929:          TvarVind[ncovv]=k;
                   9930:          ncovv++; /* Varying variables without age */
                   9931:          TvarV[ncovv]=Tvar[k];
                   9932:          TvarVind[ncovv]=k;
                   9933:        }
1.227     brouard  9934:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv){
1.240     brouard  9935:        if(Tvard[k1][2] <=ncovcol){
                   9936:          Fixed[k]= 1;
                   9937:          Dummy[k]= 1;
                   9938:          modell[k].maintype= VTYPE;
                   9939:          modell[k].subtype= VPDD;              /*      Product time varying dummy * fixed dummy */
                   9940:          ncovv++; /* Varying variables without age */
                   9941:          TvarV[ncovv]=Tvar[k];
                   9942:          TvarVind[ncovv]=k;
                   9943:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   9944:          Fixed[k]= 1;
                   9945:          Dummy[k]= 1;
                   9946:          modell[k].maintype= VTYPE;
                   9947:          modell[k].subtype= VPDQ;              /*      Product time varying dummy * fixed quantitative */
                   9948:          ncovv++; /* Varying variables without age */
                   9949:          TvarV[ncovv]=Tvar[k];
                   9950:          TvarVind[ncovv]=k;
                   9951:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   9952:          Fixed[k]= 1;
                   9953:          Dummy[k]= 0;
                   9954:          modell[k].maintype= VTYPE;
                   9955:          modell[k].subtype= VPDD;              /*      Product time varying dummy * time varying dummy */
                   9956:          ncovv++; /* Varying variables without age */
                   9957:          TvarV[ncovv]=Tvar[k];
                   9958:          TvarVind[ncovv]=k;
                   9959:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   9960:          Fixed[k]= 1;
                   9961:          Dummy[k]= 1;
                   9962:          modell[k].maintype= VTYPE;
                   9963:          modell[k].subtype= VPDQ;              /*      Product time varying dummy * time varying quantitative */
                   9964:          ncovv++; /* Varying variables without age */
                   9965:          TvarV[ncovv]=Tvar[k];
                   9966:          TvarVind[ncovv]=k;
                   9967:        }
1.227     brouard  9968:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv+nqtv){
1.240     brouard  9969:        if(Tvard[k1][2] <=ncovcol){
                   9970:          Fixed[k]= 1;
                   9971:          Dummy[k]= 1;
                   9972:          modell[k].maintype= VTYPE;
                   9973:          modell[k].subtype= VPDQ;              /*      Product time varying quantitative * fixed dummy */
                   9974:          ncovv++; /* Varying variables without age */
                   9975:          TvarV[ncovv]=Tvar[k];
                   9976:          TvarVind[ncovv]=k;
                   9977:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   9978:          Fixed[k]= 1;
                   9979:          Dummy[k]= 1;
                   9980:          modell[k].maintype= VTYPE;
                   9981:          modell[k].subtype= VPQQ;              /*      Product time varying quantitative * fixed quantitative */
                   9982:          ncovv++; /* Varying variables without age */
                   9983:          TvarV[ncovv]=Tvar[k];
                   9984:          TvarVind[ncovv]=k;
                   9985:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   9986:          Fixed[k]= 1;
                   9987:          Dummy[k]= 1;
                   9988:          modell[k].maintype= VTYPE;
                   9989:          modell[k].subtype= VPDQ;              /*      Product time varying quantitative * time varying dummy */
                   9990:          ncovv++; /* Varying variables without age */
                   9991:          TvarV[ncovv]=Tvar[k];
                   9992:          TvarVind[ncovv]=k;
                   9993:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   9994:          Fixed[k]= 1;
                   9995:          Dummy[k]= 1;
                   9996:          modell[k].maintype= VTYPE;
                   9997:          modell[k].subtype= VPQQ;              /*      Product time varying quantitative * time varying quantitative */
                   9998:          ncovv++; /* Varying variables without age */
                   9999:          TvarV[ncovv]=Tvar[k];
                   10000:          TvarVind[ncovv]=k;
                   10001:        }
1.227     brouard  10002:       }else{
1.240     brouard  10003:        printf("Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
                   10004:        fprintf(ficlog,"Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
                   10005:       } /*end k1*/
1.225     brouard  10006:     }else{
1.226     brouard  10007:       printf("Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]);
                   10008:       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  10009:     }
1.227     brouard  10010:     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  10011:     printf("           modell[%d].maintype=%d, modell[%d].subtype=%d\n",k,modell[k].maintype,k,modell[k].subtype);
1.227     brouard  10012:     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]);
                   10013:   }
                   10014:   /* Searching for doublons in the model */
                   10015:   for(k1=1; k1<= cptcovt;k1++){
                   10016:     for(k2=1; k2 <k1;k2++){
1.285     brouard  10017:       /* if((Typevar[k1]==Typevar[k2]) && (Fixed[Tvar[k1]]==Fixed[Tvar[k2]]) && (Dummy[Tvar[k1]]==Dummy[Tvar[k2]] )){ */
                   10018:       if((Typevar[k1]==Typevar[k2]) && (Fixed[k1]==Fixed[k2]) && (Dummy[k1]==Dummy[k2] )){
1.234     brouard  10019:        if((Typevar[k1] == 0 || Typevar[k1] == 1)){ /* Simple or age product */
                   10020:          if(Tvar[k1]==Tvar[k2]){
1.285     brouard  10021:            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]);
                   10022:            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  10023:            return(1);
                   10024:          }
                   10025:        }else if (Typevar[k1] ==2){
                   10026:          k3=Tposprod[k1];
                   10027:          k4=Tposprod[k2];
                   10028:          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])) ){
                   10029:            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]]);
                   10030:            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);
                   10031:            return(1);
                   10032:          }
                   10033:        }
1.227     brouard  10034:       }
                   10035:     }
1.225     brouard  10036:   }
                   10037:   printf("ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
                   10038:   fprintf(ficlog,"ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
1.234     brouard  10039:   printf("ncovf=%d, ncovv=%d, ncova=%d, nsd=%d, nsq=%d\n",ncovf,ncovv,ncova,nsd,nsq);
                   10040:   fprintf(ficlog,"ncovf=%d, ncovv=%d, ncova=%d, nsd=%d, nsq=%d\n",ncovf,ncovv,ncova,nsd, nsq);
1.137     brouard  10041:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  10042:   /*endread:*/
1.225     brouard  10043:   printf("Exiting decodemodel: ");
                   10044:   return (1);
1.136     brouard  10045: }
                   10046: 
1.169     brouard  10047: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.248     brouard  10048: {/* Check ages at death */
1.136     brouard  10049:   int i, m;
1.218     brouard  10050:   int firstone=0;
                   10051:   
1.136     brouard  10052:   for (i=1; i<=imx; i++) {
                   10053:     for(m=2; (m<= maxwav); m++) {
                   10054:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   10055:        anint[m][i]=9999;
1.216     brouard  10056:        if (s[m][i] != -2) /* Keeping initial status of unknown vital status */
                   10057:          s[m][i]=-1;
1.136     brouard  10058:       }
                   10059:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.260     brouard  10060:        *nberr = *nberr + 1;
1.218     brouard  10061:        if(firstone == 0){
                   10062:          firstone=1;
1.260     brouard  10063:        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  10064:        }
1.262     brouard  10065:        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  10066:        s[m][i]=-1;  /* Droping the death status */
1.136     brouard  10067:       }
                   10068:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  10069:        (*nberr)++;
1.259     brouard  10070:        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  10071:        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  10072:        s[m][i]=-2; /* We prefer to skip it (and to skip it in version 0.8a1 too */
1.136     brouard  10073:       }
                   10074:     }
                   10075:   }
                   10076: 
                   10077:   for (i=1; i<=imx; i++)  {
                   10078:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   10079:     for(m=firstpass; (m<= lastpass); m++){
1.214     brouard  10080:       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  10081:        if (s[m][i] >= nlstate+1) {
1.169     brouard  10082:          if(agedc[i]>0){
                   10083:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  10084:              agev[m][i]=agedc[i];
1.214     brouard  10085:              /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  10086:            }else {
1.136     brouard  10087:              if ((int)andc[i]!=9999){
                   10088:                nbwarn++;
                   10089:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   10090:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   10091:                agev[m][i]=-1;
                   10092:              }
                   10093:            }
1.169     brouard  10094:          } /* agedc > 0 */
1.214     brouard  10095:        } /* end if */
1.136     brouard  10096:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   10097:                                 years but with the precision of a month */
                   10098:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   10099:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   10100:            agev[m][i]=1;
                   10101:          else if(agev[m][i] < *agemin){ 
                   10102:            *agemin=agev[m][i];
                   10103:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   10104:          }
                   10105:          else if(agev[m][i] >*agemax){
                   10106:            *agemax=agev[m][i];
1.156     brouard  10107:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  10108:          }
                   10109:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   10110:          /*     agev[m][i] = age[i]+2*m;*/
1.214     brouard  10111:        } /* en if 9*/
1.136     brouard  10112:        else { /* =9 */
1.214     brouard  10113:          /* printf("Debug num[%d]=%ld s[%d][%d]=%d\n",i,num[i], m,i, s[m][i]); */
1.136     brouard  10114:          agev[m][i]=1;
                   10115:          s[m][i]=-1;
                   10116:        }
                   10117:       }
1.214     brouard  10118:       else if(s[m][i]==0) /*= 0 Unknown */
1.136     brouard  10119:        agev[m][i]=1;
1.214     brouard  10120:       else{
                   10121:        printf("Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   10122:        fprintf(ficlog, "Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   10123:        agev[m][i]=0;
                   10124:       }
                   10125:     } /* End for lastpass */
                   10126:   }
1.136     brouard  10127:     
                   10128:   for (i=1; i<=imx; i++)  {
                   10129:     for(m=firstpass; (m<=lastpass); m++){
                   10130:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  10131:        (*nberr)++;
1.136     brouard  10132:        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);     
                   10133:        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);     
                   10134:        return 1;
                   10135:       }
                   10136:     }
                   10137:   }
                   10138: 
                   10139:   /*for (i=1; i<=imx; i++){
                   10140:   for (m=firstpass; (m<lastpass); m++){
                   10141:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   10142: }
                   10143: 
                   10144: }*/
                   10145: 
                   10146: 
1.139     brouard  10147:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   10148:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  10149: 
                   10150:   return (0);
1.164     brouard  10151:  /* endread:*/
1.136     brouard  10152:     printf("Exiting calandcheckages: ");
                   10153:     return (1);
                   10154: }
                   10155: 
1.172     brouard  10156: #if defined(_MSC_VER)
                   10157: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   10158: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   10159: //#include "stdafx.h"
                   10160: //#include <stdio.h>
                   10161: //#include <tchar.h>
                   10162: //#include <windows.h>
                   10163: //#include <iostream>
                   10164: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   10165: 
                   10166: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   10167: 
                   10168: BOOL IsWow64()
                   10169: {
                   10170:        BOOL bIsWow64 = FALSE;
                   10171: 
                   10172:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   10173:        //  (HANDLE, PBOOL);
                   10174: 
                   10175:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   10176: 
                   10177:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   10178:        const char funcName[] = "IsWow64Process";
                   10179:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   10180:                GetProcAddress(module, funcName);
                   10181: 
                   10182:        if (NULL != fnIsWow64Process)
                   10183:        {
                   10184:                if (!fnIsWow64Process(GetCurrentProcess(),
                   10185:                        &bIsWow64))
                   10186:                        //throw std::exception("Unknown error");
                   10187:                        printf("Unknown error\n");
                   10188:        }
                   10189:        return bIsWow64 != FALSE;
                   10190: }
                   10191: #endif
1.177     brouard  10192: 
1.191     brouard  10193: void syscompilerinfo(int logged)
1.167     brouard  10194:  {
                   10195:    /* #include "syscompilerinfo.h"*/
1.185     brouard  10196:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   10197:    /* /GS /W3 /Gy
                   10198:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   10199:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   10200:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  10201:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   10202:    */ 
                   10203:    /* 64 bits */
1.185     brouard  10204:    /*
                   10205:      /GS /W3 /Gy
                   10206:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   10207:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   10208:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   10209:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   10210:    /* Optimization are useless and O3 is slower than O2 */
                   10211:    /*
                   10212:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   10213:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   10214:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   10215:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   10216:    */
1.186     brouard  10217:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  10218:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   10219:       /PDB:"visual studio
                   10220:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   10221:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   10222:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   10223:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   10224:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   10225:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   10226:       uiAccess='false'"
                   10227:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   10228:       /NOLOGO /TLBID:1
                   10229:    */
1.177     brouard  10230: #if defined __INTEL_COMPILER
1.178     brouard  10231: #if defined(__GNUC__)
                   10232:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   10233: #endif
1.177     brouard  10234: #elif defined(__GNUC__) 
1.179     brouard  10235: #ifndef  __APPLE__
1.174     brouard  10236: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  10237: #endif
1.177     brouard  10238:    struct utsname sysInfo;
1.178     brouard  10239:    int cross = CROSS;
                   10240:    if (cross){
                   10241:           printf("Cross-");
1.191     brouard  10242:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  10243:    }
1.174     brouard  10244: #endif
                   10245: 
1.171     brouard  10246: #include <stdint.h>
1.178     brouard  10247: 
1.191     brouard  10248:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  10249: #if defined(__clang__)
1.191     brouard  10250:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  10251: #endif
                   10252: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191     brouard  10253:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  10254: #endif
                   10255: #if defined(__GNUC__) || defined(__GNUG__)
1.191     brouard  10256:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  10257: #endif
                   10258: #if defined(__HP_cc) || defined(__HP_aCC)
1.191     brouard  10259:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  10260: #endif
                   10261: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191     brouard  10262:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  10263: #endif
                   10264: #if defined(_MSC_VER)
1.191     brouard  10265:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  10266: #endif
                   10267: #if defined(__PGI)
1.191     brouard  10268:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  10269: #endif
                   10270: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191     brouard  10271:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  10272: #endif
1.191     brouard  10273:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  10274:    
1.167     brouard  10275: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   10276: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   10277:     // Windows (x64 and x86)
1.191     brouard  10278:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  10279: #elif __unix__ // all unices, not all compilers
                   10280:     // Unix
1.191     brouard  10281:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  10282: #elif __linux__
                   10283:     // linux
1.191     brouard  10284:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  10285: #elif __APPLE__
1.174     brouard  10286:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191     brouard  10287:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  10288: #endif
                   10289: 
                   10290: /*  __MINGW32__          */
                   10291: /*  __CYGWIN__  */
                   10292: /* __MINGW64__  */
                   10293: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   10294: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   10295: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   10296: /* _WIN64  // Defined for applications for Win64. */
                   10297: /* _M_X64 // Defined for compilations that target x64 processors. */
                   10298: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  10299: 
1.167     brouard  10300: #if UINTPTR_MAX == 0xffffffff
1.191     brouard  10301:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  10302: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191     brouard  10303:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  10304: #else
1.191     brouard  10305:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  10306: #endif
                   10307: 
1.169     brouard  10308: #if defined(__GNUC__)
                   10309: # if defined(__GNUC_PATCHLEVEL__)
                   10310: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   10311:                             + __GNUC_MINOR__ * 100 \
                   10312:                             + __GNUC_PATCHLEVEL__)
                   10313: # else
                   10314: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   10315:                             + __GNUC_MINOR__ * 100)
                   10316: # endif
1.174     brouard  10317:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191     brouard  10318:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  10319: 
                   10320:    if (uname(&sysInfo) != -1) {
                   10321:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191     brouard  10322:         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  10323:    }
                   10324:    else
                   10325:       perror("uname() error");
1.179     brouard  10326:    //#ifndef __INTEL_COMPILER 
                   10327: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  10328:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191     brouard  10329:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  10330: #endif
1.169     brouard  10331: #endif
1.172     brouard  10332: 
1.286     brouard  10333:    //   void main ()
1.172     brouard  10334:    //   {
1.169     brouard  10335: #if defined(_MSC_VER)
1.174     brouard  10336:    if (IsWow64()){
1.191     brouard  10337:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
                   10338:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  10339:    }
                   10340:    else{
1.191     brouard  10341:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
                   10342:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  10343:    }
1.172     brouard  10344:    //     printf("\nPress Enter to continue...");
                   10345:    //     getchar();
                   10346:    //   }
                   10347: 
1.169     brouard  10348: #endif
                   10349:    
1.167     brouard  10350: 
1.219     brouard  10351: }
1.136     brouard  10352: 
1.219     brouard  10353: int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp){
1.288     brouard  10354:   /*--------------- Prevalence limit  (forward period or forward stable prevalence) --------------*/
1.235     brouard  10355:   int i, j, k, i1, k4=0, nres=0 ;
1.202     brouard  10356:   /* double ftolpl = 1.e-10; */
1.180     brouard  10357:   double age, agebase, agelim;
1.203     brouard  10358:   double tot;
1.180     brouard  10359: 
1.202     brouard  10360:   strcpy(filerespl,"PL_");
                   10361:   strcat(filerespl,fileresu);
                   10362:   if((ficrespl=fopen(filerespl,"w"))==NULL) {
1.288     brouard  10363:     printf("Problem with forward period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   10364:     fprintf(ficlog,"Problem with forward period (stable) prevalence resultfile: %s\n", filerespl);return 1;
1.202     brouard  10365:   }
1.288     brouard  10366:   printf("\nComputing forward period (stable) prevalence: result on file '%s' \n", filerespl);
                   10367:   fprintf(ficlog,"\nComputing forward period (stable) prevalence: result on file '%s' \n", filerespl);
1.202     brouard  10368:   pstamp(ficrespl);
1.288     brouard  10369:   fprintf(ficrespl,"# Forward period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.202     brouard  10370:   fprintf(ficrespl,"#Age ");
                   10371:   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   10372:   fprintf(ficrespl,"\n");
1.180     brouard  10373:   
1.219     brouard  10374:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
1.180     brouard  10375: 
1.219     brouard  10376:   agebase=ageminpar;
                   10377:   agelim=agemaxpar;
1.180     brouard  10378: 
1.227     brouard  10379:   /* i1=pow(2,ncoveff); */
1.234     brouard  10380:   i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
1.219     brouard  10381:   if (cptcovn < 1){i1=1;}
1.180     brouard  10382: 
1.238     brouard  10383:   for(k=1; k<=i1;k++){ /* For each combination k of dummy covariates in the model */
                   10384:     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
1.253     brouard  10385:       if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10386:        continue;
1.235     brouard  10387: 
1.238     brouard  10388:       /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10389:       /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
                   10390:       //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
                   10391:       /* k=k+1; */
                   10392:       /* to clean */
                   10393:       //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   10394:       fprintf(ficrespl,"#******");
                   10395:       printf("#******");
                   10396:       fprintf(ficlog,"#******");
                   10397:       for(j=1;j<=cptcoveff ;j++) {/* all covariates */
                   10398:        fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); /* Here problem for varying dummy*/
                   10399:        printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10400:        fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10401:       }
                   10402:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   10403:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10404:        fprintf(ficrespl," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10405:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10406:       }
                   10407:       fprintf(ficrespl,"******\n");
                   10408:       printf("******\n");
                   10409:       fprintf(ficlog,"******\n");
                   10410:       if(invalidvarcomb[k]){
                   10411:        printf("\nCombination (%d) ignored because no case \n",k); 
                   10412:        fprintf(ficrespl,"#Combination (%d) ignored because no case \n",k); 
                   10413:        fprintf(ficlog,"\nCombination (%d) ignored because no case \n",k); 
                   10414:        continue;
                   10415:       }
1.219     brouard  10416: 
1.238     brouard  10417:       fprintf(ficrespl,"#Age ");
                   10418:       for(j=1;j<=cptcoveff;j++) {
                   10419:        fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10420:       }
                   10421:       for(i=1; i<=nlstate;i++) fprintf(ficrespl,"  %d-%d   ",i,i);
                   10422:       fprintf(ficrespl,"Total Years_to_converge\n");
1.227     brouard  10423:     
1.238     brouard  10424:       for (age=agebase; age<=agelim; age++){
                   10425:        /* for (age=agebase; age<=agebase; age++){ */
                   10426:        prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyearp, k, nres);
                   10427:        fprintf(ficrespl,"%.0f ",age );
                   10428:        for(j=1;j<=cptcoveff;j++)
                   10429:          fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10430:        tot=0.;
                   10431:        for(i=1; i<=nlstate;i++){
                   10432:          tot +=  prlim[i][i];
                   10433:          fprintf(ficrespl," %.5f", prlim[i][i]);
                   10434:        }
                   10435:        fprintf(ficrespl," %.3f %d\n", tot, *ncvyearp);
                   10436:       } /* Age */
                   10437:       /* was end of cptcod */
                   10438:     } /* cptcov */
                   10439:   } /* nres */
1.219     brouard  10440:   return 0;
1.180     brouard  10441: }
                   10442: 
1.218     brouard  10443: 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  10444:        /*--------------- Back Prevalence limit  (backward stable prevalence) --------------*/
1.218     brouard  10445:        
                   10446:        /* Computes the back prevalence limit  for any combination      of covariate values 
                   10447:    * at any age between ageminpar and agemaxpar
                   10448:         */
1.235     brouard  10449:   int i, j, k, i1, nres=0 ;
1.217     brouard  10450:   /* double ftolpl = 1.e-10; */
                   10451:   double age, agebase, agelim;
                   10452:   double tot;
1.218     brouard  10453:   /* double ***mobaverage; */
                   10454:   /* double     **dnewm, **doldm, **dsavm;  /\* for use *\/ */
1.217     brouard  10455: 
                   10456:   strcpy(fileresplb,"PLB_");
                   10457:   strcat(fileresplb,fileresu);
                   10458:   if((ficresplb=fopen(fileresplb,"w"))==NULL) {
1.288     brouard  10459:     printf("Problem with backward prevalence resultfile: %s\n", fileresplb);return 1;
                   10460:     fprintf(ficlog,"Problem with backward prevalence resultfile: %s\n", fileresplb);return 1;
1.217     brouard  10461:   }
1.288     brouard  10462:   printf("Computing backward prevalence: result on file '%s' \n", fileresplb);
                   10463:   fprintf(ficlog,"Computing backward prevalence: result on file '%s' \n", fileresplb);
1.217     brouard  10464:   pstamp(ficresplb);
1.288     brouard  10465:   fprintf(ficresplb,"# Backward prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.217     brouard  10466:   fprintf(ficresplb,"#Age ");
                   10467:   for(i=1; i<=nlstate;i++) fprintf(ficresplb,"%d-%d ",i,i);
                   10468:   fprintf(ficresplb,"\n");
                   10469:   
1.218     brouard  10470:   
                   10471:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   10472:   
                   10473:   agebase=ageminpar;
                   10474:   agelim=agemaxpar;
                   10475:   
                   10476:   
1.227     brouard  10477:   i1=pow(2,cptcoveff);
1.218     brouard  10478:   if (cptcovn < 1){i1=1;}
1.227     brouard  10479:   
1.238     brouard  10480:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   10481:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  10482:      if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10483:        continue;
                   10484:       //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   10485:       fprintf(ficresplb,"#******");
                   10486:       printf("#******");
                   10487:       fprintf(ficlog,"#******");
                   10488:       for(j=1;j<=cptcoveff ;j++) {/* all covariates */
                   10489:        fprintf(ficresplb," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10490:        printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10491:        fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10492:       }
                   10493:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   10494:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10495:        fprintf(ficresplb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10496:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10497:       }
                   10498:       fprintf(ficresplb,"******\n");
                   10499:       printf("******\n");
                   10500:       fprintf(ficlog,"******\n");
                   10501:       if(invalidvarcomb[k]){
                   10502:        printf("\nCombination (%d) ignored because no cases \n",k); 
                   10503:        fprintf(ficresplb,"#Combination (%d) ignored because no cases \n",k); 
                   10504:        fprintf(ficlog,"\nCombination (%d) ignored because no cases \n",k); 
                   10505:        continue;
                   10506:       }
1.218     brouard  10507:     
1.238     brouard  10508:       fprintf(ficresplb,"#Age ");
                   10509:       for(j=1;j<=cptcoveff;j++) {
                   10510:        fprintf(ficresplb,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10511:       }
                   10512:       for(i=1; i<=nlstate;i++) fprintf(ficresplb,"  %d-%d   ",i,i);
                   10513:       fprintf(ficresplb,"Total Years_to_converge\n");
1.218     brouard  10514:     
                   10515:     
1.238     brouard  10516:       for (age=agebase; age<=agelim; age++){
                   10517:        /* for (age=agebase; age<=agebase; age++){ */
                   10518:        if(mobilavproj > 0){
                   10519:          /* bprevalim(bprlim, mobaverage, nlstate, p, age, ageminpar, agemaxpar, oldm, savm, doldm, dsavm, ftolpl, ncvyearp, k); */
                   10520:          /* bprevalim(bprlim, mobaverage, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.242     brouard  10521:          bprevalim(bprlim, mobaverage, nlstate, p, age, ftolpl, ncvyearp, k, nres);
1.238     brouard  10522:        }else if (mobilavproj == 0){
                   10523:          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);
                   10524:          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);
                   10525:          exit(1);
                   10526:        }else{
                   10527:          /* bprevalim(bprlim, probs, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.242     brouard  10528:          bprevalim(bprlim, probs, nlstate, p, age, ftolpl, ncvyearp, k,nres);
1.266     brouard  10529:          /* printf("TOTOT\n"); */
                   10530:           /* exit(1); */
1.238     brouard  10531:        }
                   10532:        fprintf(ficresplb,"%.0f ",age );
                   10533:        for(j=1;j<=cptcoveff;j++)
                   10534:          fprintf(ficresplb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10535:        tot=0.;
                   10536:        for(i=1; i<=nlstate;i++){
                   10537:          tot +=  bprlim[i][i];
                   10538:          fprintf(ficresplb," %.5f", bprlim[i][i]);
                   10539:        }
                   10540:        fprintf(ficresplb," %.3f %d\n", tot, *ncvyearp);
                   10541:       } /* Age */
                   10542:       /* was end of cptcod */
1.255     brouard  10543:       /*fprintf(ficresplb,"\n");*/ /* Seems to be necessary for gnuplot only if two result lines and no covariate. */
1.238     brouard  10544:     } /* end of any combination */
                   10545:   } /* end of nres */  
1.218     brouard  10546:   /* hBijx(p, bage, fage); */
                   10547:   /* fclose(ficrespijb); */
                   10548:   
                   10549:   return 0;
1.217     brouard  10550: }
1.218     brouard  10551:  
1.180     brouard  10552: int hPijx(double *p, int bage, int fage){
                   10553:     /*------------- h Pij x at various ages ------------*/
                   10554: 
                   10555:   int stepsize;
                   10556:   int agelim;
                   10557:   int hstepm;
                   10558:   int nhstepm;
1.235     brouard  10559:   int h, i, i1, j, k, k4, nres=0;
1.180     brouard  10560: 
                   10561:   double agedeb;
                   10562:   double ***p3mat;
                   10563: 
1.201     brouard  10564:     strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
1.180     brouard  10565:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   10566:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   10567:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   10568:     }
                   10569:     printf("Computing pij: result on file '%s' \n", filerespij);
                   10570:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   10571:   
                   10572:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   10573:     /*if (stepm<=24) stepsize=2;*/
                   10574: 
                   10575:     agelim=AGESUP;
                   10576:     hstepm=stepsize*YEARM; /* Every year of age */
                   10577:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
1.218     brouard  10578:                
1.180     brouard  10579:     /* hstepm=1;   aff par mois*/
                   10580:     pstamp(ficrespij);
                   10581:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
1.227     brouard  10582:     i1= pow(2,cptcoveff);
1.218     brouard  10583:                /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10584:                /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   10585:                /*      k=k+1;  */
1.235     brouard  10586:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   10587:     for(k=1; k<=i1;k++){
1.253     brouard  10588:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  10589:        continue;
1.183     brouard  10590:       fprintf(ficrespij,"\n#****** ");
1.227     brouard  10591:       for(j=1;j<=cptcoveff;j++) 
1.198     brouard  10592:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  10593:       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
                   10594:        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10595:        fprintf(ficrespij," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
                   10596:       }
1.183     brouard  10597:       fprintf(ficrespij,"******\n");
                   10598:       
                   10599:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   10600:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   10601:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   10602:        
                   10603:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  10604:        
1.183     brouard  10605:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   10606:        oldm=oldms;savm=savms;
1.235     brouard  10607:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k, nres);  
1.183     brouard  10608:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   10609:        for(i=1; i<=nlstate;i++)
                   10610:          for(j=1; j<=nlstate+ndeath;j++)
                   10611:            fprintf(ficrespij," %1d-%1d",i,j);
                   10612:        fprintf(ficrespij,"\n");
                   10613:        for (h=0; h<=nhstepm; h++){
                   10614:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   10615:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  10616:          for(i=1; i<=nlstate;i++)
                   10617:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  10618:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  10619:          fprintf(ficrespij,"\n");
                   10620:        }
1.183     brouard  10621:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   10622:        fprintf(ficrespij,"\n");
                   10623:       }
1.180     brouard  10624:       /*}*/
                   10625:     }
1.218     brouard  10626:     return 0;
1.180     brouard  10627: }
1.218     brouard  10628:  
                   10629:  int hBijx(double *p, int bage, int fage, double ***prevacurrent){
1.217     brouard  10630:     /*------------- h Bij x at various ages ------------*/
                   10631: 
                   10632:   int stepsize;
1.218     brouard  10633:   /* int agelim; */
                   10634:        int ageminl;
1.217     brouard  10635:   int hstepm;
                   10636:   int nhstepm;
1.238     brouard  10637:   int h, i, i1, j, k, nres;
1.218     brouard  10638:        
1.217     brouard  10639:   double agedeb;
                   10640:   double ***p3mat;
1.218     brouard  10641:        
                   10642:   strcpy(filerespijb,"PIJB_");  strcat(filerespijb,fileresu);
                   10643:   if((ficrespijb=fopen(filerespijb,"w"))==NULL) {
                   10644:     printf("Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   10645:     fprintf(ficlog,"Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   10646:   }
                   10647:   printf("Computing pij back: result on file '%s' \n", filerespijb);
                   10648:   fprintf(ficlog,"Computing pij back: result on file '%s' \n", filerespijb);
                   10649:   
                   10650:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   10651:   /*if (stepm<=24) stepsize=2;*/
1.217     brouard  10652:   
1.218     brouard  10653:   /* agelim=AGESUP; */
1.289     brouard  10654:   ageminl=AGEINF; /* was 30 */
1.218     brouard  10655:   hstepm=stepsize*YEARM; /* Every year of age */
                   10656:   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
                   10657:   
                   10658:   /* hstepm=1;   aff par mois*/
                   10659:   pstamp(ficrespijb);
1.255     brouard  10660:   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  10661:   i1= pow(2,cptcoveff);
1.218     brouard  10662:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   10663:   /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   10664:   /*   k=k+1;  */
1.238     brouard  10665:   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                   10666:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  10667:       if(i1 != 1 && TKresult[nres]!= k)
1.238     brouard  10668:        continue;
                   10669:       fprintf(ficrespijb,"\n#****** ");
                   10670:       for(j=1;j<=cptcoveff;j++)
                   10671:        fprintf(ficrespijb,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10672:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   10673:        fprintf(ficrespijb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   10674:       }
                   10675:       fprintf(ficrespijb,"******\n");
1.264     brouard  10676:       if(invalidvarcomb[k]){  /* Is it necessary here? */
1.238     brouard  10677:        fprintf(ficrespijb,"\n#Combination (%d) ignored because no cases \n",k); 
                   10678:        continue;
                   10679:       }
                   10680:       
                   10681:       /* for (agedeb=fage; agedeb>=bage; agedeb--){ /\* If stepm=6 months *\/ */
                   10682:       for (agedeb=bage; agedeb<=fage; agedeb++){ /* If stepm=6 months and estepm=24 (2 years) */
                   10683:        /* nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /\* Typically 20 years = 20*12/6=40 *\/ */
                   10684:        nhstepm=(int) rint((agedeb-ageminl)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */
                   10685:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10, because estepm=24 stepm=6 => hstepm=24/6=4 */
                   10686:        
                   10687:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
                   10688:        
1.266     brouard  10689:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); /* We can't have it at an upper level because of nhstepm */
                   10690:        /* and memory limitations if stepm is small */
                   10691: 
1.238     brouard  10692:        /* oldm=oldms;savm=savms; */
                   10693:        /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
1.267     brouard  10694:        hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm, k, nres);
1.238     brouard  10695:        /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm, dnewm, doldm, dsavm, k); */
1.255     brouard  10696:        fprintf(ficrespijb,"# Cov Agex agex-h hbijx with i,j=");
1.217     brouard  10697:        for(i=1; i<=nlstate;i++)
                   10698:          for(j=1; j<=nlstate+ndeath;j++)
1.238     brouard  10699:            fprintf(ficrespijb," %1d-%1d",i,j);
1.217     brouard  10700:        fprintf(ficrespijb,"\n");
1.238     brouard  10701:        for (h=0; h<=nhstepm; h++){
                   10702:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   10703:          fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb - h*hstepm/YEARM*stepm );
                   10704:          /* fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm ); */
                   10705:          for(i=1; i<=nlstate;i++)
                   10706:            for(j=1; j<=nlstate+ndeath;j++)
                   10707:              fprintf(ficrespijb," %.5f", p3mat[i][j][h]);
                   10708:          fprintf(ficrespijb,"\n");
                   10709:        }
                   10710:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   10711:        fprintf(ficrespijb,"\n");
                   10712:       } /* end age deb */
                   10713:     } /* end combination */
                   10714:   } /* end nres */
1.218     brouard  10715:   return 0;
                   10716:  } /*  hBijx */
1.217     brouard  10717: 
1.180     brouard  10718: 
1.136     brouard  10719: /***********************************************/
                   10720: /**************** Main Program *****************/
                   10721: /***********************************************/
                   10722: 
                   10723: int main(int argc, char *argv[])
                   10724: {
                   10725: #ifdef GSL
                   10726:   const gsl_multimin_fminimizer_type *T;
                   10727:   size_t iteri = 0, it;
                   10728:   int rval = GSL_CONTINUE;
                   10729:   int status = GSL_SUCCESS;
                   10730:   double ssval;
                   10731: #endif
                   10732:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.290   ! brouard  10733:   int i,j, k, iter=0,m,size=100, cptcod; /* Suppressing because nobs */
        !          10734:   /* int i,j, k, n=MAXN,iter=0,m,size=100, cptcod; */
1.209     brouard  10735:   int ncvyear=0; /* Number of years needed for the period prevalence to converge */
1.164     brouard  10736:   int jj, ll, li, lj, lk;
1.136     brouard  10737:   int numlinepar=0; /* Current linenumber of parameter file */
1.197     brouard  10738:   int num_filled;
1.136     brouard  10739:   int itimes;
                   10740:   int NDIM=2;
                   10741:   int vpopbased=0;
1.235     brouard  10742:   int nres=0;
1.258     brouard  10743:   int endishere=0;
1.277     brouard  10744:   int noffset=0;
1.274     brouard  10745:   int ncurrv=0; /* Temporary variable */
                   10746:   
1.164     brouard  10747:   char ca[32], cb[32];
1.136     brouard  10748:   /*  FILE *fichtm; *//* Html File */
                   10749:   /* FILE *ficgp;*/ /*Gnuplot File */
                   10750:   struct stat info;
1.191     brouard  10751:   double agedeb=0.;
1.194     brouard  10752: 
                   10753:   double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
1.219     brouard  10754:   double ageminout=-AGEOVERFLOW,agemaxout=AGEOVERFLOW; /* Smaller Age range redefined after movingaverage */
1.136     brouard  10755: 
1.165     brouard  10756:   double fret;
1.191     brouard  10757:   double dum=0.; /* Dummy variable */
1.136     brouard  10758:   double ***p3mat;
1.218     brouard  10759:   /* double ***mobaverage; */
1.164     brouard  10760: 
                   10761:   char line[MAXLINE];
1.197     brouard  10762:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
                   10763: 
1.234     brouard  10764:   char  modeltemp[MAXLINE];
1.230     brouard  10765:   char resultline[MAXLINE];
                   10766:   
1.136     brouard  10767:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  10768:   char *tok, *val; /* pathtot */
1.290   ! brouard  10769:   int firstobs=1, lastobs=10; /* nobs = lastobs-firstobs declared globally ;*/
1.195     brouard  10770:   int c,  h , cpt, c2;
1.191     brouard  10771:   int jl=0;
                   10772:   int i1, j1, jk, stepsize=0;
1.194     brouard  10773:   int count=0;
                   10774: 
1.164     brouard  10775:   int *tab; 
1.136     brouard  10776:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
1.217     brouard  10777:   int backcast=0;
1.136     brouard  10778:   int mobilav=0,popforecast=0;
1.191     brouard  10779:   int hstepm=0, nhstepm=0;
1.136     brouard  10780:   int agemortsup;
                   10781:   float  sumlpop=0.;
                   10782:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   10783:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   10784: 
1.191     brouard  10785:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  10786:   double ftolpl=FTOL;
                   10787:   double **prlim;
1.217     brouard  10788:   double **bprlim;
1.136     brouard  10789:   double ***param; /* Matrix of parameters */
1.251     brouard  10790:   double ***paramstart; /* Matrix of starting parameter values */
                   10791:   double  *p, *pstart; /* p=param[1][1] pstart is for starting values guessed by freqsummary */
1.136     brouard  10792:   double **matcov; /* Matrix of covariance */
1.203     brouard  10793:   double **hess; /* Hessian matrix */
1.136     brouard  10794:   double ***delti3; /* Scale */
                   10795:   double *delti; /* Scale */
                   10796:   double ***eij, ***vareij;
                   10797:   double **varpl; /* Variances of prevalence limits by age */
1.269     brouard  10798: 
1.136     brouard  10799:   double *epj, vepp;
1.164     brouard  10800: 
1.273     brouard  10801:   double dateprev1, dateprev2;
                   10802:   double jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000, dateproj1=0, dateproj2=0;
                   10803:   double jback1=1,mback1=1,anback1=2000,jback2=1,mback2=1,anback2=2000, dateback1=0, dateback2=0;
1.217     brouard  10804: 
1.136     brouard  10805:   double **ximort;
1.145     brouard  10806:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  10807:   int *dcwave;
                   10808: 
1.164     brouard  10809:   char z[1]="c";
1.136     brouard  10810: 
                   10811:   /*char  *strt;*/
                   10812:   char strtend[80];
1.126     brouard  10813: 
1.164     brouard  10814: 
1.126     brouard  10815: /*   setlocale (LC_ALL, ""); */
                   10816: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   10817: /*   textdomain (PACKAGE); */
                   10818: /*   setlocale (LC_CTYPE, ""); */
                   10819: /*   setlocale (LC_MESSAGES, ""); */
                   10820: 
                   10821:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  10822:   rstart_time = time(NULL);  
                   10823:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   10824:   start_time = *localtime(&rstart_time);
1.126     brouard  10825:   curr_time=start_time;
1.157     brouard  10826:   /*tml = *localtime(&start_time.tm_sec);*/
                   10827:   /* strcpy(strstart,asctime(&tml)); */
                   10828:   strcpy(strstart,asctime(&start_time));
1.126     brouard  10829: 
                   10830: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  10831: /*  tp.tm_sec = tp.tm_sec +86400; */
                   10832: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  10833: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   10834: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   10835: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  10836: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  10837: /*   strt=asctime(&tmg); */
                   10838: /*   printf("Time(after) =%s",strstart);  */
                   10839: /*  (void) time (&time_value);
                   10840: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   10841: *  tm = *localtime(&time_value);
                   10842: *  strstart=asctime(&tm);
                   10843: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   10844: */
                   10845: 
                   10846:   nberr=0; /* Number of errors and warnings */
                   10847:   nbwarn=0;
1.184     brouard  10848: #ifdef WIN32
                   10849:   _getcwd(pathcd, size);
                   10850: #else
1.126     brouard  10851:   getcwd(pathcd, size);
1.184     brouard  10852: #endif
1.191     brouard  10853:   syscompilerinfo(0);
1.196     brouard  10854:   printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
1.126     brouard  10855:   if(argc <=1){
                   10856:     printf("\nEnter the parameter file name: ");
1.205     brouard  10857:     if(!fgets(pathr,FILENAMELENGTH,stdin)){
                   10858:       printf("ERROR Empty parameter file name\n");
                   10859:       goto end;
                   10860:     }
1.126     brouard  10861:     i=strlen(pathr);
                   10862:     if(pathr[i-1]=='\n')
                   10863:       pathr[i-1]='\0';
1.156     brouard  10864:     i=strlen(pathr);
1.205     brouard  10865:     if(i >= 1 && pathr[i-1]==' ') {/* This may happen when dragging on oS/X! */
1.156     brouard  10866:       pathr[i-1]='\0';
1.205     brouard  10867:     }
                   10868:     i=strlen(pathr);
                   10869:     if( i==0 ){
                   10870:       printf("ERROR Empty parameter file name\n");
                   10871:       goto end;
                   10872:     }
                   10873:     for (tok = pathr; tok != NULL; ){
1.126     brouard  10874:       printf("Pathr |%s|\n",pathr);
                   10875:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   10876:       printf("val= |%s| pathr=%s\n",val,pathr);
                   10877:       strcpy (pathtot, val);
                   10878:       if(pathr[0] == '\0') break; /* Dirty */
                   10879:     }
                   10880:   }
1.281     brouard  10881:   else if (argc<=2){
                   10882:     strcpy(pathtot,argv[1]);
                   10883:   }
1.126     brouard  10884:   else{
                   10885:     strcpy(pathtot,argv[1]);
1.281     brouard  10886:     strcpy(z,argv[2]);
                   10887:     printf("\nargv[2]=%s z=%c\n",argv[2],z[0]);
1.126     brouard  10888:   }
                   10889:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   10890:   /*cygwin_split_path(pathtot,path,optionfile);
                   10891:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   10892:   /* cutv(path,optionfile,pathtot,'\\');*/
                   10893: 
                   10894:   /* Split argv[0], imach program to get pathimach */
                   10895:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   10896:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   10897:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   10898:  /*   strcpy(pathimach,argv[0]); */
                   10899:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   10900:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   10901:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  10902: #ifdef WIN32
                   10903:   _chdir(path); /* Can be a relative path */
                   10904:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   10905: #else
1.126     brouard  10906:   chdir(path); /* Can be a relative path */
1.184     brouard  10907:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   10908: #endif
                   10909:   printf("Current directory %s!\n",pathcd);
1.126     brouard  10910:   strcpy(command,"mkdir ");
                   10911:   strcat(command,optionfilefiname);
                   10912:   if((outcmd=system(command)) != 0){
1.169     brouard  10913:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  10914:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   10915:     /* fclose(ficlog); */
                   10916: /*     exit(1); */
                   10917:   }
                   10918: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   10919: /*     perror("mkdir"); */
                   10920: /*   } */
                   10921: 
                   10922:   /*-------- arguments in the command line --------*/
                   10923: 
1.186     brouard  10924:   /* Main Log file */
1.126     brouard  10925:   strcat(filelog, optionfilefiname);
                   10926:   strcat(filelog,".log");    /* */
                   10927:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   10928:     printf("Problem with logfile %s\n",filelog);
                   10929:     goto end;
                   10930:   }
                   10931:   fprintf(ficlog,"Log filename:%s\n",filelog);
1.197     brouard  10932:   fprintf(ficlog,"Version %s %s",version,fullversion);
1.126     brouard  10933:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   10934:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   10935:  path=%s \n\
                   10936:  optionfile=%s\n\
                   10937:  optionfilext=%s\n\
1.156     brouard  10938:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  10939: 
1.197     brouard  10940:   syscompilerinfo(1);
1.167     brouard  10941: 
1.126     brouard  10942:   printf("Local time (at start):%s",strstart);
                   10943:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   10944:   fflush(ficlog);
                   10945: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  10946: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  10947: 
                   10948:   /* */
                   10949:   strcpy(fileres,"r");
                   10950:   strcat(fileres, optionfilefiname);
1.201     brouard  10951:   strcat(fileresu, optionfilefiname); /* Without r in front */
1.126     brouard  10952:   strcat(fileres,".txt");    /* Other files have txt extension */
1.201     brouard  10953:   strcat(fileresu,".txt");    /* Other files have txt extension */
1.126     brouard  10954: 
1.186     brouard  10955:   /* Main ---------arguments file --------*/
1.126     brouard  10956: 
                   10957:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  10958:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   10959:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  10960:     fflush(ficlog);
1.149     brouard  10961:     /* goto end; */
                   10962:     exit(70); 
1.126     brouard  10963:   }
                   10964: 
                   10965:   strcpy(filereso,"o");
1.201     brouard  10966:   strcat(filereso,fileresu);
1.126     brouard  10967:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   10968:     printf("Problem with Output resultfile: %s\n", filereso);
                   10969:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   10970:     fflush(ficlog);
                   10971:     goto end;
                   10972:   }
1.278     brouard  10973:       /*-------- Rewriting parameter file ----------*/
                   10974:   strcpy(rfileres,"r");    /* "Rparameterfile */
                   10975:   strcat(rfileres,optionfilefiname);    /* Parameter file first name */
                   10976:   strcat(rfileres,".");    /* */
                   10977:   strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   10978:   if((ficres =fopen(rfileres,"w"))==NULL) {
                   10979:     printf("Problem writing new parameter file: %s\n", rfileres);goto end;
                   10980:     fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
                   10981:     fflush(ficlog);
                   10982:     goto end;
                   10983:   }
                   10984:   fprintf(ficres,"#IMaCh %s\n",version);
1.126     brouard  10985: 
1.278     brouard  10986:                                      
1.126     brouard  10987:   /* Reads comments: lines beginning with '#' */
                   10988:   numlinepar=0;
1.277     brouard  10989:   /* Is it a BOM UTF-8 Windows file? */
                   10990:   /* First parameter line */
1.197     brouard  10991:   while(fgets(line, MAXLINE, ficpar)) {
1.277     brouard  10992:     noffset=0;
                   10993:     if( line[0] == (char)0xEF && line[1] == (char)0xBB) /* EF BB BF */
                   10994:     {
                   10995:       noffset=noffset+3;
                   10996:       printf("# File is an UTF8 Bom.\n"); // 0xBF
                   10997:     }
                   10998:     else if( line[0] == (char)0xFE && line[1] == (char)0xFF)
                   10999:     {
                   11000:       noffset=noffset+2;
                   11001:       printf("# File is an UTF16BE BOM file\n");
                   11002:     }
                   11003:     else if( line[0] == 0 && line[1] == 0)
                   11004:     {
                   11005:       if( line[2] == (char)0xFE && line[3] == (char)0xFF){
                   11006:        noffset=noffset+4;
                   11007:        printf("# File is an UTF16BE BOM file\n");
                   11008:       }
                   11009:     } else{
                   11010:       ;/*printf(" Not a BOM file\n");*/
                   11011:     }
                   11012:   
1.197     brouard  11013:     /* If line starts with a # it is a comment */
1.277     brouard  11014:     if (line[noffset] == '#') {
1.197     brouard  11015:       numlinepar++;
                   11016:       fputs(line,stdout);
                   11017:       fputs(line,ficparo);
1.278     brouard  11018:       fputs(line,ficres);
1.197     brouard  11019:       fputs(line,ficlog);
                   11020:       continue;
                   11021:     }else
                   11022:       break;
                   11023:   }
                   11024:   if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                   11025:                        title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
                   11026:     if (num_filled != 5) {
                   11027:       printf("Should be 5 parameters\n");
1.283     brouard  11028:       fprintf(ficlog,"Should be 5 parameters\n");
1.197     brouard  11029:     }
1.126     brouard  11030:     numlinepar++;
1.197     brouard  11031:     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
1.283     brouard  11032:     fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   11033:     fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   11034:     fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
1.197     brouard  11035:   }
                   11036:   /* Second parameter line */
                   11037:   while(fgets(line, MAXLINE, ficpar)) {
1.283     brouard  11038:     /* while(fscanf(ficpar,"%[^\n]", line)) { */
                   11039:     /* If line starts with a # it is a comment. Strangely fgets reads the EOL and fputs doesn't */
1.197     brouard  11040:     if (line[0] == '#') {
                   11041:       numlinepar++;
1.283     brouard  11042:       printf("%s",line);
                   11043:       fprintf(ficres,"%s",line);
                   11044:       fprintf(ficparo,"%s",line);
                   11045:       fprintf(ficlog,"%s",line);
1.197     brouard  11046:       continue;
                   11047:     }else
                   11048:       break;
                   11049:   }
1.223     brouard  11050:   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", \
                   11051:                        &ftol, &stepm, &ncovcol, &nqv, &ntv, &nqtv, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
                   11052:     if (num_filled != 11) {
                   11053:       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  11054:       printf("but line=%s\n",line);
1.283     brouard  11055:       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");
                   11056:       fprintf(ficlog,"but line=%s\n",line);
1.197     brouard  11057:     }
1.286     brouard  11058:     if( lastpass > maxwav){
                   11059:       printf("Error (lastpass = %d) > (maxwav = %d)\n",lastpass, maxwav);
                   11060:       fprintf(ficlog,"Error (lastpass = %d) > (maxwav = %d)\n",lastpass, maxwav);
                   11061:       fflush(ficlog);
                   11062:       goto end;
                   11063:     }
                   11064:       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  11065:     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  11066:     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  11067:     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  11068:   }
1.203     brouard  11069:   /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
1.209     brouard  11070:   /*ftolpl=6.e-4; *//* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
1.197     brouard  11071:   /* Third parameter line */
                   11072:   while(fgets(line, MAXLINE, ficpar)) {
                   11073:     /* If line starts with a # it is a comment */
                   11074:     if (line[0] == '#') {
                   11075:       numlinepar++;
1.283     brouard  11076:       printf("%s",line);
                   11077:       fprintf(ficres,"%s",line);
                   11078:       fprintf(ficparo,"%s",line);
                   11079:       fprintf(ficlog,"%s",line);
1.197     brouard  11080:       continue;
                   11081:     }else
                   11082:       break;
                   11083:   }
1.201     brouard  11084:   if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){
1.279     brouard  11085:     if (num_filled != 1){
                   11086:       printf("ERROR %d: Model should be at minimum 'model=1+age' %s\n",num_filled, line);
                   11087:       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age' %s\n",num_filled, line);
1.197     brouard  11088:       model[0]='\0';
                   11089:       goto end;
                   11090:     }
                   11091:     else{
                   11092:       if (model[0]=='+'){
                   11093:        for(i=1; i<=strlen(model);i++)
                   11094:          modeltemp[i-1]=model[i];
1.201     brouard  11095:        strcpy(model,modeltemp); 
1.197     brouard  11096:       }
                   11097:     }
1.199     brouard  11098:     /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
1.203     brouard  11099:     printf("model=1+age+%s\n",model);fflush(stdout);
1.283     brouard  11100:     fprintf(ficparo,"model=1+age+%s\n",model);fflush(stdout);
                   11101:     fprintf(ficres,"model=1+age+%s\n",model);fflush(stdout);
                   11102:     fprintf(ficlog,"model=1+age+%s\n",model);fflush(stdout);
1.197     brouard  11103:   }
                   11104:   /* 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); */
                   11105:   /* numlinepar=numlinepar+3; /\* In general *\/ */
                   11106:   /* 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  11107:   /* 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); */
                   11108:   /* 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  11109:   fflush(ficlog);
1.190     brouard  11110:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   11111:   if(model[0]=='#'){
1.279     brouard  11112:     printf("Error in 'model' line: model should start with 'model=1+age+' and end without space \n \
                   11113:  'model=1+age+' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age' or \n \
                   11114:  'model=1+age+V1+V2' or 'model=1+age+V1+V2+V1*V2' etc. \n");           \
1.187     brouard  11115:     if(mle != -1){
1.279     brouard  11116:       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  11117:       exit(1);
                   11118:     }
                   11119:   }
1.126     brouard  11120:   while((c=getc(ficpar))=='#' && c!= EOF){
                   11121:     ungetc(c,ficpar);
                   11122:     fgets(line, MAXLINE, ficpar);
                   11123:     numlinepar++;
1.195     brouard  11124:     if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
                   11125:       z[0]=line[1];
                   11126:     }
                   11127:     /* printf("****line [1] = %c \n",line[1]); */
1.141     brouard  11128:     fputs(line, stdout);
                   11129:     //puts(line);
1.126     brouard  11130:     fputs(line,ficparo);
                   11131:     fputs(line,ficlog);
                   11132:   }
                   11133:   ungetc(c,ficpar);
                   11134: 
                   11135:    
1.290   ! brouard  11136:   covar=matrix(0,NCOVMAX,firstobs,lastobs);  /**< used in readdata */
        !          11137:   if(nqv>=1)coqvar=matrix(1,nqv,firstobs,lastobs);  /**< Fixed quantitative covariate */
        !          11138:   if(nqtv>=1)cotqvar=ma3x(1,maxwav,1,nqtv,firstobs,lastobs);  /**< Time varying quantitative covariate */
        !          11139:   if(ntv+nqtv>=1)cotvar=ma3x(1,maxwav,1,ntv+nqtv,firstobs,lastobs);  /**< Time varying covariate (dummy and quantitative)*/
1.136     brouard  11140:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   11141:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   11142:      v1+v2*age+v2*v3 makes cptcovn = 3
                   11143:   */
                   11144:   if (strlen(model)>1) 
1.187     brouard  11145:     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  11146:   else
1.187     brouard  11147:     ncovmodel=2; /* Constant and age */
1.133     brouard  11148:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   11149:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  11150:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   11151:     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);
                   11152:     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);
                   11153:     fflush(stdout);
                   11154:     fclose (ficlog);
                   11155:     goto end;
                   11156:   }
1.126     brouard  11157:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   11158:   delti=delti3[1][1];
                   11159:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   11160:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
1.247     brouard  11161: /* We could also provide initial parameters values giving by simple logistic regression 
                   11162:  * only one way, that is without matrix product. We will have nlstate maximizations */
                   11163:       /* for(i=1;i<nlstate;i++){ */
                   11164:       /*       /\*reducing xi for 1 to npar to 1 to ncovmodel; *\/ */
                   11165:       /*    mlikeli(ficres,p, ncovmodel, ncovmodel, nlstate, ftol, funcnoprod); */
                   11166:       /* } */
1.126     brouard  11167:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191     brouard  11168:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
                   11169:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  11170:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   11171:     fclose (ficparo);
                   11172:     fclose (ficlog);
                   11173:     goto end;
                   11174:     exit(0);
1.220     brouard  11175:   }  else if(mle==-5) { /* Main Wizard */
1.126     brouard  11176:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.192     brouard  11177:     printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   11178:     fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  11179:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   11180:     matcov=matrix(1,npar,1,npar);
1.203     brouard  11181:     hess=matrix(1,npar,1,npar);
1.220     brouard  11182:   }  else{ /* Begin of mle != -1 or -5 */
1.145     brouard  11183:     /* Read guessed parameters */
1.126     brouard  11184:     /* Reads comments: lines beginning with '#' */
                   11185:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11186:       ungetc(c,ficpar);
                   11187:       fgets(line, MAXLINE, ficpar);
                   11188:       numlinepar++;
1.141     brouard  11189:       fputs(line,stdout);
1.126     brouard  11190:       fputs(line,ficparo);
                   11191:       fputs(line,ficlog);
                   11192:     }
                   11193:     ungetc(c,ficpar);
                   11194:     
                   11195:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
1.251     brouard  11196:     paramstart= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
1.126     brouard  11197:     for(i=1; i <=nlstate; i++){
1.234     brouard  11198:       j=0;
1.126     brouard  11199:       for(jj=1; jj <=nlstate+ndeath; jj++){
1.234     brouard  11200:        if(jj==i) continue;
                   11201:        j++;
                   11202:        fscanf(ficpar,"%1d%1d",&i1,&j1);
                   11203:        if ((i1 != i) || (j1 != jj)){
                   11204:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
1.126     brouard  11205: It might be a problem of design; if ncovcol and the model are correct\n \
                   11206: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
1.234     brouard  11207:          exit(1);
                   11208:        }
                   11209:        fprintf(ficparo,"%1d%1d",i1,j1);
                   11210:        if(mle==1)
                   11211:          printf("%1d%1d",i,jj);
                   11212:        fprintf(ficlog,"%1d%1d",i,jj);
                   11213:        for(k=1; k<=ncovmodel;k++){
                   11214:          fscanf(ficpar," %lf",&param[i][j][k]);
                   11215:          if(mle==1){
                   11216:            printf(" %lf",param[i][j][k]);
                   11217:            fprintf(ficlog," %lf",param[i][j][k]);
                   11218:          }
                   11219:          else
                   11220:            fprintf(ficlog," %lf",param[i][j][k]);
                   11221:          fprintf(ficparo," %lf",param[i][j][k]);
                   11222:        }
                   11223:        fscanf(ficpar,"\n");
                   11224:        numlinepar++;
                   11225:        if(mle==1)
                   11226:          printf("\n");
                   11227:        fprintf(ficlog,"\n");
                   11228:        fprintf(ficparo,"\n");
1.126     brouard  11229:       }
                   11230:     }  
                   11231:     fflush(ficlog);
1.234     brouard  11232:     
1.251     brouard  11233:     /* Reads parameters values */
1.126     brouard  11234:     p=param[1][1];
1.251     brouard  11235:     pstart=paramstart[1][1];
1.126     brouard  11236:     
                   11237:     /* Reads comments: lines beginning with '#' */
                   11238:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11239:       ungetc(c,ficpar);
                   11240:       fgets(line, MAXLINE, ficpar);
                   11241:       numlinepar++;
1.141     brouard  11242:       fputs(line,stdout);
1.126     brouard  11243:       fputs(line,ficparo);
                   11244:       fputs(line,ficlog);
                   11245:     }
                   11246:     ungetc(c,ficpar);
                   11247: 
                   11248:     for(i=1; i <=nlstate; i++){
                   11249:       for(j=1; j <=nlstate+ndeath-1; j++){
1.234     brouard  11250:        fscanf(ficpar,"%1d%1d",&i1,&j1);
                   11251:        if ( (i1-i) * (j1-j) != 0){
                   11252:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   11253:          exit(1);
                   11254:        }
                   11255:        printf("%1d%1d",i,j);
                   11256:        fprintf(ficparo,"%1d%1d",i1,j1);
                   11257:        fprintf(ficlog,"%1d%1d",i1,j1);
                   11258:        for(k=1; k<=ncovmodel;k++){
                   11259:          fscanf(ficpar,"%le",&delti3[i][j][k]);
                   11260:          printf(" %le",delti3[i][j][k]);
                   11261:          fprintf(ficparo," %le",delti3[i][j][k]);
                   11262:          fprintf(ficlog," %le",delti3[i][j][k]);
                   11263:        }
                   11264:        fscanf(ficpar,"\n");
                   11265:        numlinepar++;
                   11266:        printf("\n");
                   11267:        fprintf(ficparo,"\n");
                   11268:        fprintf(ficlog,"\n");
1.126     brouard  11269:       }
                   11270:     }
                   11271:     fflush(ficlog);
1.234     brouard  11272:     
1.145     brouard  11273:     /* Reads covariance matrix */
1.126     brouard  11274:     delti=delti3[1][1];
1.220     brouard  11275:                
                   11276:                
1.126     brouard  11277:     /* 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  11278:                
1.126     brouard  11279:     /* Reads comments: lines beginning with '#' */
                   11280:     while((c=getc(ficpar))=='#' && c!= EOF){
                   11281:       ungetc(c,ficpar);
                   11282:       fgets(line, MAXLINE, ficpar);
                   11283:       numlinepar++;
1.141     brouard  11284:       fputs(line,stdout);
1.126     brouard  11285:       fputs(line,ficparo);
                   11286:       fputs(line,ficlog);
                   11287:     }
                   11288:     ungetc(c,ficpar);
1.220     brouard  11289:                
1.126     brouard  11290:     matcov=matrix(1,npar,1,npar);
1.203     brouard  11291:     hess=matrix(1,npar,1,npar);
1.131     brouard  11292:     for(i=1; i <=npar; i++)
                   11293:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
1.220     brouard  11294:                
1.194     brouard  11295:     /* Scans npar lines */
1.126     brouard  11296:     for(i=1; i <=npar; i++){
1.226     brouard  11297:       count=fscanf(ficpar,"%1d%1d%d",&i1,&j1,&jk);
1.194     brouard  11298:       if(count != 3){
1.226     brouard  11299:        printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  11300: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   11301: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  11302:        fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  11303: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   11304: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  11305:        exit(1);
1.220     brouard  11306:       }else{
1.226     brouard  11307:        if(mle==1)
                   11308:          printf("%1d%1d%d",i1,j1,jk);
                   11309:       }
                   11310:       fprintf(ficlog,"%1d%1d%d",i1,j1,jk);
                   11311:       fprintf(ficparo,"%1d%1d%d",i1,j1,jk);
1.126     brouard  11312:       for(j=1; j <=i; j++){
1.226     brouard  11313:        fscanf(ficpar," %le",&matcov[i][j]);
                   11314:        if(mle==1){
                   11315:          printf(" %.5le",matcov[i][j]);
                   11316:        }
                   11317:        fprintf(ficlog," %.5le",matcov[i][j]);
                   11318:        fprintf(ficparo," %.5le",matcov[i][j]);
1.126     brouard  11319:       }
                   11320:       fscanf(ficpar,"\n");
                   11321:       numlinepar++;
                   11322:       if(mle==1)
1.220     brouard  11323:                                printf("\n");
1.126     brouard  11324:       fprintf(ficlog,"\n");
                   11325:       fprintf(ficparo,"\n");
                   11326:     }
1.194     brouard  11327:     /* End of read covariance matrix npar lines */
1.126     brouard  11328:     for(i=1; i <=npar; i++)
                   11329:       for(j=i+1;j<=npar;j++)
1.226     brouard  11330:        matcov[i][j]=matcov[j][i];
1.126     brouard  11331:     
                   11332:     if(mle==1)
                   11333:       printf("\n");
                   11334:     fprintf(ficlog,"\n");
                   11335:     
                   11336:     fflush(ficlog);
                   11337:     
                   11338:   }    /* End of mle != -3 */
1.218     brouard  11339:   
1.186     brouard  11340:   /*  Main data
                   11341:    */
1.290   ! brouard  11342:   nobs=lastobs-firstobs+1; /* was = lastobs;*/
        !          11343:   /* num=lvector(1,n); */
        !          11344:   /* moisnais=vector(1,n); */
        !          11345:   /* annais=vector(1,n); */
        !          11346:   /* moisdc=vector(1,n); */
        !          11347:   /* andc=vector(1,n); */
        !          11348:   /* weight=vector(1,n); */
        !          11349:   /* agedc=vector(1,n); */
        !          11350:   /* cod=ivector(1,n); */
        !          11351:   /* for(i=1;i<=n;i++){ */
        !          11352:   num=lvector(firstobs,lastobs);
        !          11353:   moisnais=vector(firstobs,lastobs);
        !          11354:   annais=vector(firstobs,lastobs);
        !          11355:   moisdc=vector(firstobs,lastobs);
        !          11356:   andc=vector(firstobs,lastobs);
        !          11357:   weight=vector(firstobs,lastobs);
        !          11358:   agedc=vector(firstobs,lastobs);
        !          11359:   cod=ivector(firstobs,lastobs);
        !          11360:   for(i=firstobs;i<=lastobs;i++){
1.234     brouard  11361:     num[i]=0;
                   11362:     moisnais[i]=0;
                   11363:     annais[i]=0;
                   11364:     moisdc[i]=0;
                   11365:     andc[i]=0;
                   11366:     agedc[i]=0;
                   11367:     cod[i]=0;
                   11368:     weight[i]=1.0; /* Equal weights, 1 by default */
                   11369:   }
1.290   ! brouard  11370:   mint=matrix(1,maxwav,firstobs,lastobs);
        !          11371:   anint=matrix(1,maxwav,firstobs,lastobs);
        !          11372:   s=imatrix(1,maxwav+1,firstobs,lastobs); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  11373:   tab=ivector(1,NCOVMAX);
1.144     brouard  11374:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.192     brouard  11375:   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  11376: 
1.136     brouard  11377:   /* Reads data from file datafile */
                   11378:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   11379:     goto end;
                   11380: 
                   11381:   /* Calculation of the number of parameters from char model */
1.234     brouard  11382:   /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
1.137     brouard  11383:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   11384:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   11385:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   11386:        k=1 Tvar[1]=2 (from V2)
1.234     brouard  11387:   */
                   11388:   
                   11389:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
                   11390:   TvarsDind=ivector(1,NCOVMAX); /*  */
                   11391:   TvarsD=ivector(1,NCOVMAX); /*  */
                   11392:   TvarsQind=ivector(1,NCOVMAX); /*  */
                   11393:   TvarsQ=ivector(1,NCOVMAX); /*  */
1.232     brouard  11394:   TvarF=ivector(1,NCOVMAX); /*  */
                   11395:   TvarFind=ivector(1,NCOVMAX); /*  */
                   11396:   TvarV=ivector(1,NCOVMAX); /*  */
                   11397:   TvarVind=ivector(1,NCOVMAX); /*  */
                   11398:   TvarA=ivector(1,NCOVMAX); /*  */
                   11399:   TvarAind=ivector(1,NCOVMAX); /*  */
1.231     brouard  11400:   TvarFD=ivector(1,NCOVMAX); /*  */
                   11401:   TvarFDind=ivector(1,NCOVMAX); /*  */
                   11402:   TvarFQ=ivector(1,NCOVMAX); /*  */
                   11403:   TvarFQind=ivector(1,NCOVMAX); /*  */
                   11404:   TvarVD=ivector(1,NCOVMAX); /*  */
                   11405:   TvarVDind=ivector(1,NCOVMAX); /*  */
                   11406:   TvarVQ=ivector(1,NCOVMAX); /*  */
                   11407:   TvarVQind=ivector(1,NCOVMAX); /*  */
                   11408: 
1.230     brouard  11409:   Tvalsel=vector(1,NCOVMAX); /*  */
1.233     brouard  11410:   Tvarsel=ivector(1,NCOVMAX); /*  */
1.226     brouard  11411:   Typevar=ivector(-1,NCOVMAX); /* -1 to 2 */
                   11412:   Fixed=ivector(-1,NCOVMAX); /* -1 to 3 */
                   11413:   Dummy=ivector(-1,NCOVMAX); /* -1 to 3 */
1.137     brouard  11414:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   11415:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   11416:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   11417:   */
                   11418:   /* For model-covariate k tells which data-covariate to use but
                   11419:     because this model-covariate is a construction we invent a new column
                   11420:     ncovcol + k1
                   11421:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   11422:     Tvar[3=V1*V4]=4+1 etc */
1.227     brouard  11423:   Tprod=ivector(1,NCOVMAX); /* Gives the k position of the k1 product */
                   11424:   Tposprod=ivector(1,NCOVMAX); /* Gives the k1 product from the k position */
1.137     brouard  11425:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   11426:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
1.227     brouard  11427:      Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5]=2 
1.137     brouard  11428:   */
1.145     brouard  11429:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   11430:   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  11431:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   11432:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  11433:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  11434:                         4 covariates (3 plus signs)
                   11435:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   11436:                      */  
1.230     brouard  11437:   Tmodelind=ivector(1,NCOVMAX);/** gives the k model position of an
1.227     brouard  11438:                                * individual dummy, fixed or varying:
                   11439:                                * Tmodelind[Tvaraff[3]]=9,Tvaraff[1]@9={4,
                   11440:                                * 3, 1, 0, 0, 0, 0, 0, 0},
1.230     brouard  11441:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 , 
                   11442:                                * V1 df, V2 qf, V3 & V4 dv, V5 qv
                   11443:                                * Tmodelind[1]@9={9,0,3,2,}*/
                   11444:   TmodelInvind=ivector(1,NCOVMAX); /* TmodelInvind=Tvar[k]- ncovcol-nqv={5-2-1=2,*/
                   11445:   TmodelInvQind=ivector(1,NCOVMAX);/** gives the k model position of an
1.228     brouard  11446:                                * individual quantitative, fixed or varying:
                   11447:                                * Tmodelqind[1]=1,Tvaraff[1]@9={4,
                   11448:                                * 3, 1, 0, 0, 0, 0, 0, 0},
                   11449:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
1.186     brouard  11450: /* Main decodemodel */
                   11451: 
1.187     brouard  11452: 
1.223     brouard  11453:   if(decodemodel(model, lastobs) == 1) /* In order to get Tvar[k] V4+V3+V5 p Tvar[1]@3  = {4, 3, 5}*/
1.136     brouard  11454:     goto end;
                   11455: 
1.137     brouard  11456:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   11457:     nbwarn++;
                   11458:     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); 
                   11459:     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); 
                   11460:   }
1.136     brouard  11461:     /*  if(mle==1){*/
1.137     brouard  11462:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   11463:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  11464:   }
                   11465: 
                   11466:     /*-calculation of age at interview from date of interview and age at death -*/
                   11467:   agev=matrix(1,maxwav,1,imx);
                   11468: 
                   11469:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   11470:     goto end;
                   11471: 
1.126     brouard  11472: 
1.136     brouard  11473:   agegomp=(int)agemin;
1.290   ! brouard  11474:   free_vector(moisnais,firstobs,lastobs);
        !          11475:   free_vector(annais,firstobs,lastobs);
1.126     brouard  11476:   /* free_matrix(mint,1,maxwav,1,n);
                   11477:      free_matrix(anint,1,maxwav,1,n);*/
1.215     brouard  11478:   /* free_vector(moisdc,1,n); */
                   11479:   /* free_vector(andc,1,n); */
1.145     brouard  11480:   /* */
                   11481:   
1.126     brouard  11482:   wav=ivector(1,imx);
1.214     brouard  11483:   /* dh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11484:   /* bh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11485:   /* mw=imatrix(1,lastpass-firstpass+1,1,imx); */
                   11486:   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.*/
                   11487:   bh=imatrix(1,lastpass-firstpass+2,1,imx);
                   11488:   mw=imatrix(1,lastpass-firstpass+2,1,imx);
1.126     brouard  11489:    
                   11490:   /* Concatenates waves */
1.214     brouard  11491:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   11492:      Death is a valid wave (if date is known).
                   11493:      mw[mi][i] is the number of (mi=1 to wav[i]) effective wave out of mi of individual i
                   11494:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   11495:      and mw[mi+1][i]. dh depends on stepm.
                   11496:   */
                   11497: 
1.126     brouard  11498:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.248     brouard  11499:   /* Concatenates waves */
1.145     brouard  11500:  
1.290   ! brouard  11501:   free_vector(moisdc,firstobs,lastobs);
        !          11502:   free_vector(andc,firstobs,lastobs);
1.215     brouard  11503: 
1.126     brouard  11504:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   11505:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   11506:   ncodemax[1]=1;
1.145     brouard  11507:   Ndum =ivector(-1,NCOVMAX);  
1.225     brouard  11508:   cptcoveff=0;
1.220     brouard  11509:   if (ncovmodel-nagesqr > 2 ){ /* That is if covariate other than cst, age and age*age */
                   11510:     tricode(&cptcoveff,Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
1.227     brouard  11511:   }
                   11512:   
                   11513:   ncovcombmax=pow(2,cptcoveff);
                   11514:   invalidvarcomb=ivector(1, ncovcombmax); 
                   11515:   for(i=1;i<ncovcombmax;i++)
                   11516:     invalidvarcomb[i]=0;
                   11517:   
1.211     brouard  11518:   /* Nbcode gives the value of the lth modality (currently 1 to 2) of jth covariate, in
1.186     brouard  11519:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
1.211     brouard  11520:   /* 1 to ncodemax[j] which is the maximum value of this jth covariate */
1.227     brouard  11521:   
1.200     brouard  11522:   /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
1.198     brouard  11523:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
1.186     brouard  11524:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.211     brouard  11525:   /* nbcode[Tvaraff[j]][codtabm(h,j)]) : if there are only 2 modalities for a covariate j, 
                   11526:    * codtabm(h,j) gives its value classified at position h and nbcode gives how it is coded 
                   11527:    * (currently 0 or 1) in the data.
                   11528:    * In a loop on h=1 to 2**k, and a loop on j (=1 to k), we get the value of 
                   11529:    * corresponding modality (h,j).
                   11530:    */
                   11531: 
1.145     brouard  11532:   h=0;
                   11533:   /*if (cptcovn > 0) */
1.126     brouard  11534:   m=pow(2,cptcoveff);
                   11535:  
1.144     brouard  11536:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.211     brouard  11537:           * For k=4 covariates, h goes from 1 to m=2**k
                   11538:           * codtabm(h,k)=  (1 & (h-1) >> (k-1)) + 1;
                   11539:            * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.186     brouard  11540:           *     h\k   1     2     3     4
1.143     brouard  11541:           *______________________________  
                   11542:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   11543:           *     2     2     1     1     1
                   11544:           *     3 i=2 1     2     1     1
                   11545:           *     4     2     2     1     1
                   11546:           *     5 i=3 1 i=2 1     2     1
                   11547:           *     6     2     1     2     1
                   11548:           *     7 i=4 1     2     2     1
                   11549:           *     8     2     2     2     1
1.197     brouard  11550:           *     9 i=5 1 i=3 1 i=2 1     2
                   11551:           *    10     2     1     1     2
                   11552:           *    11 i=6 1     2     1     2
                   11553:           *    12     2     2     1     2
                   11554:           *    13 i=7 1 i=4 1     2     2    
                   11555:           *    14     2     1     2     2
                   11556:           *    15 i=8 1     2     2     2
                   11557:           *    16     2     2     2     2
1.143     brouard  11558:           */
1.212     brouard  11559:   /* How to do the opposite? From combination h (=1 to 2**k) how to get the value on the covariates? */
1.211     brouard  11560:      /* from h=5 and m, we get then number of covariates k=log(m)/log(2)=4
                   11561:      * and the value of each covariate?
                   11562:      * V1=1, V2=1, V3=2, V4=1 ?
                   11563:      * h-1=4 and 4 is 0100 or reverse 0010, and +1 is 1121 ok.
                   11564:      * h=6, 6-1=5, 5 is 0101, 1010, 2121, V1=2nd, V2=1st, V3=2nd, V4=1st.
                   11565:      * In order to get the real value in the data, we use nbcode
                   11566:      * nbcode[Tvar[3][2nd]]=1 and nbcode[Tvar[4][1]]=0
                   11567:      * We are keeping this crazy system in order to be able (in the future?) 
                   11568:      * to have more than 2 values (0 or 1) for a covariate.
                   11569:      * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
                   11570:      * h=6, k=2? h-1=5=0101, reverse 1010, +1=2121, k=2nd position: value is 1: codtabm(6,2)=1
                   11571:      *              bbbbbbbb
                   11572:      *              76543210     
                   11573:      *   h-1        00000101 (6-1=5)
1.219     brouard  11574:      *(h-1)>>(k-1)= 00000010 >> (2-1) = 1 right shift
1.211     brouard  11575:      *           &
                   11576:      *     1        00000001 (1)
1.219     brouard  11577:      *              00000000        = 1 & ((h-1) >> (k-1))
                   11578:      *          +1= 00000001 =1 
1.211     brouard  11579:      *
                   11580:      * h=14, k=3 => h'=h-1=13, k'=k-1=2
                   11581:      *          h'      1101 =2^3+2^2+0x2^1+2^0
                   11582:      *    >>k'            11
                   11583:      *          &   00000001
                   11584:      *            = 00000001
                   11585:      *      +1    = 00000010=2    =  codtabm(14,3)   
                   11586:      * Reverse h=6 and m=16?
                   11587:      * cptcoveff=log(16)/log(2)=4 covariate: 6-1=5=0101 reversed=1010 +1=2121 =>V1=2, V2=1, V3=2, V4=1.
                   11588:      * for (j=1 to cptcoveff) Vj=decodtabm(j,h,cptcoveff)
                   11589:      * decodtabm(h,j,cptcoveff)= (((h-1) >> (j-1)) & 1) +1 
                   11590:      * decodtabm(h,j,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (j-1)) & 1) +1 : -1)
                   11591:      * V3=decodtabm(14,3,2**4)=2
                   11592:      *          h'=13   1101 =2^3+2^2+0x2^1+2^0
                   11593:      *(h-1) >> (j-1)    0011 =13 >> 2
                   11594:      *          &1 000000001
                   11595:      *           = 000000001
                   11596:      *         +1= 000000010 =2
                   11597:      *                  2211
                   11598:      *                  V1=1+1, V2=0+1, V3=1+1, V4=1+1
                   11599:      *                  V3=2
1.220     brouard  11600:                 * codtabm and decodtabm are identical
1.211     brouard  11601:      */
                   11602: 
1.145     brouard  11603: 
                   11604:  free_ivector(Ndum,-1,NCOVMAX);
                   11605: 
                   11606: 
1.126     brouard  11607:     
1.186     brouard  11608:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  11609:   strcpy(optionfilegnuplot,optionfilefiname);
                   11610:   if(mle==-3)
1.201     brouard  11611:     strcat(optionfilegnuplot,"-MORT_");
1.126     brouard  11612:   strcat(optionfilegnuplot,".gp");
                   11613: 
                   11614:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   11615:     printf("Problem with file %s",optionfilegnuplot);
                   11616:   }
                   11617:   else{
1.204     brouard  11618:     fprintf(ficgp,"\n# IMaCh-%s\n", version); 
1.126     brouard  11619:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  11620:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   11621:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  11622:   }
                   11623:   /*  fclose(ficgp);*/
1.186     brouard  11624: 
                   11625: 
                   11626:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  11627: 
                   11628:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   11629:   if(mle==-3)
1.201     brouard  11630:     strcat(optionfilehtm,"-MORT_");
1.126     brouard  11631:   strcat(optionfilehtm,".htm");
                   11632:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  11633:     printf("Problem with %s \n",optionfilehtm);
                   11634:     exit(0);
1.126     brouard  11635:   }
                   11636: 
                   11637:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   11638:   strcat(optionfilehtmcov,"-cov.htm");
                   11639:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   11640:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   11641:   }
                   11642:   else{
                   11643:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   11644: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  11645: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.126     brouard  11646:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   11647:   }
                   11648: 
1.213     brouard  11649:   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  11650: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   11651: <font size=\"2\">IMaCh-%s <br> %s</font> \
1.126     brouard  11652: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  11653: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n\
1.126     brouard  11654: \n\
                   11655: <hr  size=\"2\" color=\"#EC5E5E\">\
                   11656:  <ul><li><h4>Parameter files</h4>\n\
                   11657:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   11658:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   11659:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   11660:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   11661:  - Date and time at start: %s</ul>\n",\
                   11662:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   11663:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   11664:          fileres,fileres,\
                   11665:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   11666:   fflush(fichtm);
                   11667: 
                   11668:   strcpy(pathr,path);
                   11669:   strcat(pathr,optionfilefiname);
1.184     brouard  11670: #ifdef WIN32
                   11671:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   11672: #else
1.126     brouard  11673:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  11674: #endif
                   11675:          
1.126     brouard  11676:   
1.220     brouard  11677:   /* Calculates basic frequencies. Computes observed prevalence at single age 
                   11678:                 and for any valid combination of covariates
1.126     brouard  11679:      and prints on file fileres'p'. */
1.251     brouard  11680:   freqsummary(fileres, p, pstart, agemin, agemax, s, agev, nlstate, imx, Tvaraff, invalidvarcomb, nbcode, ncodemax,mint,anint,strstart, \
1.227     brouard  11681:              firstpass, lastpass,  stepm,  weightopt, model);
1.126     brouard  11682: 
                   11683:   fprintf(fichtm,"\n");
1.286     brouard  11684:   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  11685:          ftol, stepm);
                   11686:   fprintf(fichtm,"\n<li>Number of fixed dummy covariates: ncovcol=%d ", ncovcol);
                   11687:   ncurrv=1;
                   11688:   for(i=ncurrv; i <=ncovcol; i++) fprintf(fichtm,"V%d ", i);
                   11689:   fprintf(fichtm,"\n<li> Number of fixed quantitative variables: nqv=%d ", nqv); 
                   11690:   ncurrv=i;
                   11691:   for(i=ncurrv; i <=ncurrv-1+nqv; i++) fprintf(fichtm,"V%d ", i);
1.290   ! brouard  11692:   fprintf(fichtm,"\n<li> Number of time varying (wave varying) dummy covariates: ntv=%d ", ntv);
1.274     brouard  11693:   ncurrv=i;
                   11694:   for(i=ncurrv; i <=ncurrv-1+ntv; i++) fprintf(fichtm,"V%d ", i);
1.290   ! brouard  11695:   fprintf(fichtm,"\n<li>Number of time varying  quantitative covariates: nqtv=%d ", nqtv);
1.274     brouard  11696:   ncurrv=i;
                   11697:   for(i=ncurrv; i <=ncurrv-1+nqtv; i++) fprintf(fichtm,"V%d ", i);
                   11698:   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", \
                   11699:           nlstate, ndeath, maxwav, mle, weightopt);
                   11700: 
                   11701:   fprintf(fichtm,"<h4> Diagram of states <a href=\"%s_.svg\">%s_.svg</a></h4> \n\
                   11702: <img src=\"%s_.svg\">", subdirf2(optionfilefiname,"D_"),subdirf2(optionfilefiname,"D_"),subdirf2(optionfilefiname,"D_"));
                   11703: 
                   11704:   
                   11705:   fprintf(fichtm,"\n<h4>Some descriptive statistics </h4>\n<br>Total number of observations=%d <br>\n\
1.126     brouard  11706: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   11707: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
1.274     brouard  11708:   imx,agemin,agemax,jmin,jmax,jmean);
1.126     brouard  11709:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
1.268     brouard  11710:   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   11711:   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   11712:   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   11713:   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
1.218     brouard  11714: 
1.126     brouard  11715:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   11716:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   11717:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   11718: 
                   11719:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  11720:   /* For mortality only */
1.126     brouard  11721:   if (mle==-3){
1.136     brouard  11722:     ximort=matrix(1,NDIM,1,NDIM); 
1.248     brouard  11723:     for(i=1;i<=NDIM;i++)
                   11724:       for(j=1;j<=NDIM;j++)
                   11725:        ximort[i][j]=0.;
1.186     brouard  11726:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.290   ! brouard  11727:     cens=ivector(firstobs,lastobs);
        !          11728:     ageexmed=vector(firstobs,lastobs);
        !          11729:     agecens=vector(firstobs,lastobs);
        !          11730:     dcwave=ivector(firstobs,lastobs);
1.223     brouard  11731:                
1.126     brouard  11732:     for (i=1; i<=imx; i++){
                   11733:       dcwave[i]=-1;
                   11734:       for (m=firstpass; m<=lastpass; m++)
1.226     brouard  11735:        if (s[m][i]>nlstate) {
                   11736:          dcwave[i]=m;
                   11737:          /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
                   11738:          break;
                   11739:        }
1.126     brouard  11740:     }
1.226     brouard  11741:     
1.126     brouard  11742:     for (i=1; i<=imx; i++) {
                   11743:       if (wav[i]>0){
1.226     brouard  11744:        ageexmed[i]=agev[mw[1][i]][i];
                   11745:        j=wav[i];
                   11746:        agecens[i]=1.; 
                   11747:        
                   11748:        if (ageexmed[i]> 1 && wav[i] > 0){
                   11749:          agecens[i]=agev[mw[j][i]][i];
                   11750:          cens[i]= 1;
                   11751:        }else if (ageexmed[i]< 1) 
                   11752:          cens[i]= -1;
                   11753:        if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
                   11754:          cens[i]=0 ;
1.126     brouard  11755:       }
                   11756:       else cens[i]=-1;
                   11757:     }
                   11758:     
                   11759:     for (i=1;i<=NDIM;i++) {
                   11760:       for (j=1;j<=NDIM;j++)
1.226     brouard  11761:        ximort[i][j]=(i == j ? 1.0 : 0.0);
1.126     brouard  11762:     }
                   11763:     
1.145     brouard  11764:     /*p[1]=0.0268; p[NDIM]=0.083;*/
1.126     brouard  11765:     /*printf("%lf %lf", p[1], p[2]);*/
                   11766:     
                   11767:     
1.136     brouard  11768: #ifdef GSL
                   11769:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  11770: #else
1.126     brouard  11771:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  11772: #endif
1.201     brouard  11773:     strcpy(filerespow,"POW-MORT_"); 
                   11774:     strcat(filerespow,fileresu);
1.126     brouard  11775:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   11776:       printf("Problem with resultfile: %s\n", filerespow);
                   11777:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   11778:     }
1.136     brouard  11779: #ifdef GSL
                   11780:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  11781: #else
1.126     brouard  11782:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  11783: #endif
1.126     brouard  11784:     /*  for (i=1;i<=nlstate;i++)
                   11785:        for(j=1;j<=nlstate+ndeath;j++)
                   11786:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   11787:     */
                   11788:     fprintf(ficrespow,"\n");
1.136     brouard  11789: #ifdef GSL
                   11790:     /* gsl starts here */ 
                   11791:     T = gsl_multimin_fminimizer_nmsimplex;
                   11792:     gsl_multimin_fminimizer *sfm = NULL;
                   11793:     gsl_vector *ss, *x;
                   11794:     gsl_multimin_function minex_func;
                   11795: 
                   11796:     /* Initial vertex size vector */
                   11797:     ss = gsl_vector_alloc (NDIM);
                   11798:     
                   11799:     if (ss == NULL){
                   11800:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   11801:     }
                   11802:     /* Set all step sizes to 1 */
                   11803:     gsl_vector_set_all (ss, 0.001);
                   11804: 
                   11805:     /* Starting point */
1.126     brouard  11806:     
1.136     brouard  11807:     x = gsl_vector_alloc (NDIM);
                   11808:     
                   11809:     if (x == NULL){
                   11810:       gsl_vector_free(ss);
                   11811:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   11812:     }
                   11813:   
                   11814:     /* Initialize method and iterate */
                   11815:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  11816:     /*     gsl_vector_set(x, 0, 0.0268); */
                   11817:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  11818:     gsl_vector_set(x, 0, p[1]);
                   11819:     gsl_vector_set(x, 1, p[2]);
                   11820: 
                   11821:     minex_func.f = &gompertz_f;
                   11822:     minex_func.n = NDIM;
                   11823:     minex_func.params = (void *)&p; /* ??? */
                   11824:     
                   11825:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   11826:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   11827:     
                   11828:     printf("Iterations beginning .....\n\n");
                   11829:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   11830: 
                   11831:     iteri=0;
                   11832:     while (rval == GSL_CONTINUE){
                   11833:       iteri++;
                   11834:       status = gsl_multimin_fminimizer_iterate(sfm);
                   11835:       
                   11836:       if (status) printf("error: %s\n", gsl_strerror (status));
                   11837:       fflush(0);
                   11838:       
                   11839:       if (status) 
                   11840:         break;
                   11841:       
                   11842:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   11843:       ssval = gsl_multimin_fminimizer_size (sfm);
                   11844:       
                   11845:       if (rval == GSL_SUCCESS)
                   11846:         printf ("converged to a local maximum at\n");
                   11847:       
                   11848:       printf("%5d ", iteri);
                   11849:       for (it = 0; it < NDIM; it++){
                   11850:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   11851:       }
                   11852:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   11853:     }
                   11854:     
                   11855:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   11856:     
                   11857:     gsl_vector_free(x); /* initial values */
                   11858:     gsl_vector_free(ss); /* inital step size */
                   11859:     for (it=0; it<NDIM; it++){
                   11860:       p[it+1]=gsl_vector_get(sfm->x,it);
                   11861:       fprintf(ficrespow," %.12lf", p[it]);
                   11862:     }
                   11863:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   11864: #endif
                   11865: #ifdef POWELL
                   11866:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   11867: #endif  
1.126     brouard  11868:     fclose(ficrespow);
                   11869:     
1.203     brouard  11870:     hesscov(matcov, hess, p, NDIM, delti, 1e-4, gompertz); 
1.126     brouard  11871: 
                   11872:     for(i=1; i <=NDIM; i++)
                   11873:       for(j=i+1;j<=NDIM;j++)
1.220     brouard  11874:                                matcov[i][j]=matcov[j][i];
1.126     brouard  11875:     
                   11876:     printf("\nCovariance matrix\n ");
1.203     brouard  11877:     fprintf(ficlog,"\nCovariance matrix\n ");
1.126     brouard  11878:     for(i=1; i <=NDIM; i++) {
                   11879:       for(j=1;j<=NDIM;j++){ 
1.220     brouard  11880:                                printf("%f ",matcov[i][j]);
                   11881:                                fprintf(ficlog,"%f ",matcov[i][j]);
1.126     brouard  11882:       }
1.203     brouard  11883:       printf("\n ");  fprintf(ficlog,"\n ");
1.126     brouard  11884:     }
                   11885:     
                   11886:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
1.193     brouard  11887:     for (i=1;i<=NDIM;i++) {
1.126     brouard  11888:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.193     brouard  11889:       fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   11890:     }
1.126     brouard  11891:     lsurv=vector(1,AGESUP);
                   11892:     lpop=vector(1,AGESUP);
                   11893:     tpop=vector(1,AGESUP);
                   11894:     lsurv[agegomp]=100000;
                   11895:     
                   11896:     for (k=agegomp;k<=AGESUP;k++) {
                   11897:       agemortsup=k;
                   11898:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   11899:     }
                   11900:     
                   11901:     for (k=agegomp;k<agemortsup;k++)
                   11902:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   11903:     
                   11904:     for (k=agegomp;k<agemortsup;k++){
                   11905:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   11906:       sumlpop=sumlpop+lpop[k];
                   11907:     }
                   11908:     
                   11909:     tpop[agegomp]=sumlpop;
                   11910:     for (k=agegomp;k<(agemortsup-3);k++){
                   11911:       /*  tpop[k+1]=2;*/
                   11912:       tpop[k+1]=tpop[k]-lpop[k];
                   11913:     }
                   11914:     
                   11915:     
                   11916:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   11917:     for (k=agegomp;k<(agemortsup-2);k++) 
                   11918:       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]);
                   11919:     
                   11920:     
                   11921:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.220     brouard  11922:                ageminpar=50;
                   11923:                agemaxpar=100;
1.194     brouard  11924:     if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
                   11925:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   11926: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   11927: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   11928:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   11929: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   11930: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  11931:     }else{
                   11932:                        printf("Warning! ageminpar %f and agemaxpar %f have been fixed because for simplification until it is fixed...\n\n",ageminpar,agemaxpar);
                   11933:                        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  11934:       printinggnuplotmort(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
1.220     brouard  11935:                }
1.201     brouard  11936:     printinghtmlmort(fileresu,title,datafile, firstpass, lastpass, \
1.126     brouard  11937:                     stepm, weightopt,\
                   11938:                     model,imx,p,matcov,agemortsup);
                   11939:     
                   11940:     free_vector(lsurv,1,AGESUP);
                   11941:     free_vector(lpop,1,AGESUP);
                   11942:     free_vector(tpop,1,AGESUP);
1.220     brouard  11943:     free_matrix(ximort,1,NDIM,1,NDIM);
1.290   ! brouard  11944:     free_ivector(dcwave,firstobs,lastobs);
        !          11945:     free_vector(agecens,firstobs,lastobs);
        !          11946:     free_vector(ageexmed,firstobs,lastobs);
        !          11947:     free_ivector(cens,firstobs,lastobs);
1.220     brouard  11948: #ifdef GSL
1.136     brouard  11949: #endif
1.186     brouard  11950:   } /* Endof if mle==-3 mortality only */
1.205     brouard  11951:   /* Standard  */
                   11952:   else{ /* For mle !=- 3, could be 0 or 1 or 4 etc. */
                   11953:     globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   11954:     /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
1.132     brouard  11955:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  11956:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   11957:     for (k=1; k<=npar;k++)
                   11958:       printf(" %d %8.5f",k,p[k]);
                   11959:     printf("\n");
1.205     brouard  11960:     if(mle>=1){ /* Could be 1 or 2, Real Maximization */
                   11961:       /* mlikeli uses func not funcone */
1.247     brouard  11962:       /* for(i=1;i<nlstate;i++){ */
                   11963:       /*       /\*reducing xi for 1 to npar to 1 to ncovmodel; *\/ */
                   11964:       /*    mlikeli(ficres,p, ncovmodel, ncovmodel, nlstate, ftol, funcnoprod); */
                   11965:       /* } */
1.205     brouard  11966:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
                   11967:     }
                   11968:     if(mle==0) {/* No optimization, will print the likelihoods for the datafile */
                   11969:       globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   11970:       /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
                   11971:       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   11972:     }
                   11973:     globpr=1; /* again, to print the individual contributions using computed gpimx and gsw */
1.126     brouard  11974:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   11975:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   11976:     for (k=1; k<=npar;k++)
                   11977:       printf(" %d %8.5f",k,p[k]);
                   11978:     printf("\n");
                   11979:     
                   11980:     /*--------- results files --------------*/
1.283     brouard  11981:     /* 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  11982:     
                   11983:     
                   11984:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   11985:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   11986:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   11987:     for(i=1,jk=1; i <=nlstate; i++){
                   11988:       for(k=1; k <=(nlstate+ndeath); k++){
1.225     brouard  11989:        if (k != i) {
                   11990:          printf("%d%d ",i,k);
                   11991:          fprintf(ficlog,"%d%d ",i,k);
                   11992:          fprintf(ficres,"%1d%1d ",i,k);
                   11993:          for(j=1; j <=ncovmodel; j++){
                   11994:            printf("%12.7f ",p[jk]);
                   11995:            fprintf(ficlog,"%12.7f ",p[jk]);
                   11996:            fprintf(ficres,"%12.7f ",p[jk]);
                   11997:            jk++; 
                   11998:          }
                   11999:          printf("\n");
                   12000:          fprintf(ficlog,"\n");
                   12001:          fprintf(ficres,"\n");
                   12002:        }
1.126     brouard  12003:       }
                   12004:     }
1.203     brouard  12005:     if(mle != 0){
                   12006:       /* Computing hessian and covariance matrix only at a peak of the Likelihood, that is after optimization */
1.126     brouard  12007:       ftolhess=ftol; /* Usually correct */
1.203     brouard  12008:       hesscov(matcov, hess, p, npar, delti, ftolhess, func);
                   12009:       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");
                   12010:       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");
                   12011:       for(i=1,jk=1; i <=nlstate; i++){
1.225     brouard  12012:        for(k=1; k <=(nlstate+ndeath); k++){
                   12013:          if (k != i) {
                   12014:            printf("%d%d ",i,k);
                   12015:            fprintf(ficlog,"%d%d ",i,k);
                   12016:            for(j=1; j <=ncovmodel; j++){
                   12017:              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]));
                   12018:              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]));
                   12019:              jk++; 
                   12020:            }
                   12021:            printf("\n");
                   12022:            fprintf(ficlog,"\n");
                   12023:          }
                   12024:        }
1.193     brouard  12025:       }
1.203     brouard  12026:     } /* end of hesscov and Wald tests */
1.225     brouard  12027:     
1.203     brouard  12028:     /*  */
1.126     brouard  12029:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   12030:     printf("# Scales (for hessian or gradient estimation)\n");
                   12031:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   12032:     for(i=1,jk=1; i <=nlstate; i++){
                   12033:       for(j=1; j <=nlstate+ndeath; j++){
1.225     brouard  12034:        if (j!=i) {
                   12035:          fprintf(ficres,"%1d%1d",i,j);
                   12036:          printf("%1d%1d",i,j);
                   12037:          fprintf(ficlog,"%1d%1d",i,j);
                   12038:          for(k=1; k<=ncovmodel;k++){
                   12039:            printf(" %.5e",delti[jk]);
                   12040:            fprintf(ficlog," %.5e",delti[jk]);
                   12041:            fprintf(ficres," %.5e",delti[jk]);
                   12042:            jk++;
                   12043:          }
                   12044:          printf("\n");
                   12045:          fprintf(ficlog,"\n");
                   12046:          fprintf(ficres,"\n");
                   12047:        }
1.126     brouard  12048:       }
                   12049:     }
                   12050:     
                   12051:     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  12052:     if(mle >= 1) /* To big for the screen */
1.126     brouard  12053:       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");
                   12054:     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");
                   12055:     /* # 121 Var(a12)\n\ */
                   12056:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   12057:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   12058:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   12059:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   12060:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   12061:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   12062:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   12063:     
                   12064:     
                   12065:     /* Just to have a covariance matrix which will be more understandable
                   12066:        even is we still don't want to manage dictionary of variables
                   12067:     */
                   12068:     for(itimes=1;itimes<=2;itimes++){
                   12069:       jj=0;
                   12070:       for(i=1; i <=nlstate; i++){
1.225     brouard  12071:        for(j=1; j <=nlstate+ndeath; j++){
                   12072:          if(j==i) continue;
                   12073:          for(k=1; k<=ncovmodel;k++){
                   12074:            jj++;
                   12075:            ca[0]= k+'a'-1;ca[1]='\0';
                   12076:            if(itimes==1){
                   12077:              if(mle>=1)
                   12078:                printf("#%1d%1d%d",i,j,k);
                   12079:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
                   12080:              fprintf(ficres,"#%1d%1d%d",i,j,k);
                   12081:            }else{
                   12082:              if(mle>=1)
                   12083:                printf("%1d%1d%d",i,j,k);
                   12084:              fprintf(ficlog,"%1d%1d%d",i,j,k);
                   12085:              fprintf(ficres,"%1d%1d%d",i,j,k);
                   12086:            }
                   12087:            ll=0;
                   12088:            for(li=1;li <=nlstate; li++){
                   12089:              for(lj=1;lj <=nlstate+ndeath; lj++){
                   12090:                if(lj==li) continue;
                   12091:                for(lk=1;lk<=ncovmodel;lk++){
                   12092:                  ll++;
                   12093:                  if(ll<=jj){
                   12094:                    cb[0]= lk +'a'-1;cb[1]='\0';
                   12095:                    if(ll<jj){
                   12096:                      if(itimes==1){
                   12097:                        if(mle>=1)
                   12098:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12099:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12100:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   12101:                      }else{
                   12102:                        if(mle>=1)
                   12103:                          printf(" %.5e",matcov[jj][ll]); 
                   12104:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   12105:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   12106:                      }
                   12107:                    }else{
                   12108:                      if(itimes==1){
                   12109:                        if(mle>=1)
                   12110:                          printf(" Var(%s%1d%1d)",ca,i,j);
                   12111:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                   12112:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                   12113:                      }else{
                   12114:                        if(mle>=1)
                   12115:                          printf(" %.7e",matcov[jj][ll]); 
                   12116:                        fprintf(ficlog," %.7e",matcov[jj][ll]); 
                   12117:                        fprintf(ficres," %.7e",matcov[jj][ll]); 
                   12118:                      }
                   12119:                    }
                   12120:                  }
                   12121:                } /* end lk */
                   12122:              } /* end lj */
                   12123:            } /* end li */
                   12124:            if(mle>=1)
                   12125:              printf("\n");
                   12126:            fprintf(ficlog,"\n");
                   12127:            fprintf(ficres,"\n");
                   12128:            numlinepar++;
                   12129:          } /* end k*/
                   12130:        } /*end j */
1.126     brouard  12131:       } /* end i */
                   12132:     } /* end itimes */
                   12133:     
                   12134:     fflush(ficlog);
                   12135:     fflush(ficres);
1.225     brouard  12136:     while(fgets(line, MAXLINE, ficpar)) {
                   12137:       /* If line starts with a # it is a comment */
                   12138:       if (line[0] == '#') {
                   12139:        numlinepar++;
                   12140:        fputs(line,stdout);
                   12141:        fputs(line,ficparo);
                   12142:        fputs(line,ficlog);
                   12143:        continue;
                   12144:       }else
                   12145:        break;
                   12146:     }
                   12147:     
1.209     brouard  12148:     /* while((c=getc(ficpar))=='#' && c!= EOF){ */
                   12149:     /*   ungetc(c,ficpar); */
                   12150:     /*   fgets(line, MAXLINE, ficpar); */
                   12151:     /*   fputs(line,stdout); */
                   12152:     /*   fputs(line,ficparo); */
                   12153:     /* } */
                   12154:     /* ungetc(c,ficpar); */
1.126     brouard  12155:     
                   12156:     estepm=0;
1.209     brouard  12157:     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  12158:       
                   12159:       if (num_filled != 6) {
                   12160:        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);
                   12161:        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);
                   12162:        goto end;
                   12163:       }
                   12164:       printf("agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",ageminpar,agemaxpar, bage, fage, estepm, ftolpl);
                   12165:     }
                   12166:     /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
                   12167:     /*ftolpl=6.e-4;*/ /* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
                   12168:     
1.209     brouard  12169:     /* fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm); */
1.126     brouard  12170:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   12171:     if (fage <= 2) {
                   12172:       bage = ageminpar;
                   12173:       fage = agemaxpar;
                   12174:     }
                   12175:     
                   12176:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
1.211     brouard  12177:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
                   12178:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d, ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
1.220     brouard  12179:                
1.186     brouard  12180:     /* Other stuffs, more or less useful */    
1.254     brouard  12181:     while(fgets(line, MAXLINE, ficpar)) {
                   12182:       /* If line starts with a # it is a comment */
                   12183:       if (line[0] == '#') {
                   12184:        numlinepar++;
                   12185:        fputs(line,stdout);
                   12186:        fputs(line,ficparo);
                   12187:        fputs(line,ficlog);
                   12188:        continue;
                   12189:       }else
                   12190:        break;
                   12191:     }
                   12192: 
                   12193:     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){
                   12194:       
                   12195:       if (num_filled != 7) {
                   12196:        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);
                   12197:        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);
                   12198:        goto end;
                   12199:       }
                   12200:       printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   12201:       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);
                   12202:       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);
                   12203:       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  12204:     }
1.254     brouard  12205: 
                   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;
1.126     brouard  12216:     }
                   12217:     
                   12218:     
                   12219:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   12220:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   12221:     
1.254     brouard  12222:     if((num_filled=sscanf(line,"pop_based=%d\n",&popbased)) !=EOF){
                   12223:       if (num_filled != 1) {
                   12224:        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);
                   12225:        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);
                   12226:        goto end;
                   12227:       }
                   12228:       printf("pop_based=%d\n",popbased);
                   12229:       fprintf(ficlog,"pop_based=%d\n",popbased);
                   12230:       fprintf(ficparo,"pop_based=%d\n",popbased);   
                   12231:       fprintf(ficres,"pop_based=%d\n",popbased);   
                   12232:     }
                   12233:      
1.258     brouard  12234:     /* Results */
                   12235:     nresult=0;
                   12236:     do{
                   12237:       if(!fgets(line, MAXLINE, ficpar)){
                   12238:        endishere=1;
                   12239:        parameterline=14;
                   12240:       }else if (line[0] == '#') {
                   12241:        /* If line starts with a # it is a comment */
1.254     brouard  12242:        numlinepar++;
                   12243:        fputs(line,stdout);
                   12244:        fputs(line,ficparo);
                   12245:        fputs(line,ficlog);
                   12246:        continue;
1.258     brouard  12247:       }else if(sscanf(line,"prevforecast=%[^\n]\n",modeltemp))
                   12248:        parameterline=11;
                   12249:       else if(sscanf(line,"backcast=%[^\n]\n",modeltemp))
                   12250:        parameterline=12;
                   12251:       else if(sscanf(line,"result:%[^\n]\n",modeltemp))
                   12252:        parameterline=13;
                   12253:       else{
                   12254:        parameterline=14;
1.254     brouard  12255:       }
1.258     brouard  12256:       switch (parameterline){ 
                   12257:       case 11:
                   12258:        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){
                   12259:          if (num_filled != 8) {
                   12260:            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\n, your line=%s . Probably you are running an older format.\n",num_filled,line);
                   12261:            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 mov_average=0\n, your line=%s . Probably you are running an older format.\n",num_filled,line);
                   12262:            goto end;
                   12263:          }
                   12264:          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);
                   12265:          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);
                   12266:          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);
                   12267:          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);
                   12268:          /* day and month of proj2 are not used but only year anproj2.*/
1.273     brouard  12269:          dateproj1=anproj1+(mproj1-1)/12.+(jproj1-1)/365.;
                   12270:          dateproj2=anproj2+(mproj2-1)/12.+(jproj2-1)/365.;
                   12271: 
1.258     brouard  12272:        }
1.254     brouard  12273:        break;
1.258     brouard  12274:       case 12:
                   12275:        /*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);*/
                   12276:        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){
                   12277:          if (num_filled != 8) {
1.262     brouard  12278:            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);
                   12279:            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);
1.258     brouard  12280:            goto end;
                   12281:          }
                   12282:          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);
                   12283:          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);
                   12284:          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);
                   12285:          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);
                   12286:          /* day and month of proj2 are not used but only year anproj2.*/
1.273     brouard  12287:          dateback1=anback1+(mback1-1)/12.+(jback1-1)/365.;
                   12288:          dateback2=anback2+(mback2-1)/12.+(jback2-1)/365.;
1.258     brouard  12289:        }
1.230     brouard  12290:        break;
1.258     brouard  12291:       case 13:
                   12292:        if((num_filled=sscanf(line,"result:%[^\n]\n",resultline)) !=EOF){
                   12293:          if (num_filled == 0){
                   12294:            resultline[0]='\0';
                   12295:            printf("Warning %d: no result line! It should be at minimum 'result: V2=0 V1=1 or result:.\n%s\n", num_filled, line);
                   12296:            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);
                   12297:            break;
                   12298:          } else if (num_filled != 1){
                   12299:            printf("ERROR %d: result line! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",num_filled, line);
                   12300:            fprintf(ficlog,"ERROR %d: result line! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",num_filled, line);
                   12301:          }
                   12302:          nresult++; /* Sum of resultlines */
                   12303:          printf("Result %d: result=%s\n",nresult, resultline);
                   12304:          if(nresult > MAXRESULTLINES){
                   12305:            printf("ERROR: Current version of IMaCh limits the number of resultlines to %d, you used %d\n",MAXRESULTLINES,nresult);
                   12306:            fprintf(ficlog,"ERROR: Current version of IMaCh limits the number of resultlines to %d, you used %d\n",MAXRESULTLINES,nresult);
                   12307:            goto end;
                   12308:          }
                   12309:          decoderesult(resultline, nresult); /* Fills TKresult[nresult] combination and Tresult[nresult][k4+1] combination values */
                   12310:          fprintf(ficparo,"result: %s\n",resultline);
                   12311:          fprintf(ficres,"result: %s\n",resultline);
                   12312:          fprintf(ficlog,"result: %s\n",resultline);
1.230     brouard  12313:          break;
1.258     brouard  12314:        case 14: 
1.259     brouard  12315:          if(ncovmodel >2 && nresult==0 ){
                   12316:            printf("ERROR: no result lines! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",line);
1.258     brouard  12317:            goto end;
                   12318:          }
1.259     brouard  12319:          break;
1.258     brouard  12320:        default:
                   12321:          nresult=1;
                   12322:          decoderesult(".",nresult ); /* No covariate */
                   12323:        }
                   12324:       } /* End switch parameterline */
                   12325:     }while(endishere==0); /* End do */
1.126     brouard  12326:     
1.230     brouard  12327:     /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
1.145     brouard  12328:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  12329:     
                   12330:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  12331:     if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
1.230     brouard  12332:       printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  12333: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12334: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.230     brouard  12335:       fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  12336: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   12337: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  12338:     }else{
1.270     brouard  12339:       /* printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, prevfcast, backcast, pathc,p, (int)anproj1-(int)agemin, (int)anback1-(int)agemax+1); */
                   12340:       printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,bage, fage, prevfcast, backcast, pathc,p, (int)anproj1-bage, (int)anback1-fage);
1.220     brouard  12341:     }
                   12342:     printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt, \
1.258     brouard  12343:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,mobilav,prevfcast,mobilavproj,backcast, estepm, \
1.273     brouard  12344:                 jprev1,mprev1,anprev1,dateprev1, dateproj1, dateback1,jprev2,mprev2,anprev2,dateprev2,dateproj2, dateback2);
1.220     brouard  12345:                
1.225     brouard  12346:     /*------------ free_vector  -------------*/
                   12347:     /*  chdir(path); */
1.220     brouard  12348:                
1.215     brouard  12349:     /* free_ivector(wav,1,imx); */  /* Moved after last prevalence call */
                   12350:     /* free_imatrix(dh,1,lastpass-firstpass+2,1,imx); */
                   12351:     /* free_imatrix(bh,1,lastpass-firstpass+2,1,imx); */
                   12352:     /* free_imatrix(mw,1,lastpass-firstpass+2,1,imx);    */
1.290   ! brouard  12353:     free_lvector(num,firstobs,lastobs);
        !          12354:     free_vector(agedc,firstobs,lastobs);
1.126     brouard  12355:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   12356:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   12357:     fclose(ficparo);
                   12358:     fclose(ficres);
1.220     brouard  12359:                
                   12360:                
1.186     brouard  12361:     /* Other results (useful)*/
1.220     brouard  12362:                
                   12363:                
1.126     brouard  12364:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  12365:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   12366:     prlim=matrix(1,nlstate,1,nlstate);
1.209     brouard  12367:     prevalence_limit(p, prlim,  ageminpar, agemaxpar, ftolpl, &ncvyear);
1.126     brouard  12368:     fclose(ficrespl);
                   12369: 
                   12370:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  12371:     /*#include "hpijx.h"*/
                   12372:     hPijx(p, bage, fage);
1.145     brouard  12373:     fclose(ficrespij);
1.227     brouard  12374:     
1.220     brouard  12375:     /* ncovcombmax=  pow(2,cptcoveff); */
1.219     brouard  12376:     /*-------------- Variance of one-step probabilities---*/
1.145     brouard  12377:     k=1;
1.126     brouard  12378:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
1.227     brouard  12379:     
1.269     brouard  12380:     /* Prevalence for each covariate combination in probs[age][status][cov] */
                   12381:     probs= ma3x(AGEINF,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
                   12382:     for(i=AGEINF;i<=AGESUP;i++)
1.219     brouard  12383:       for(j=1;j<=nlstate+ndeath;j++) /* ndeath is useless but a necessity to be compared with mobaverages */
1.225     brouard  12384:        for(k=1;k<=ncovcombmax;k++)
                   12385:          probs[i][j][k]=0.;
1.269     brouard  12386:     prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, 
                   12387:               ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
1.219     brouard  12388:     if (mobilav!=0 ||mobilavproj !=0 ) {
1.269     brouard  12389:       mobaverages= ma3x(AGEINF, AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
                   12390:       for(i=AGEINF;i<=AGESUP;i++)
1.268     brouard  12391:        for(j=1;j<=nlstate+ndeath;j++)
1.227     brouard  12392:          for(k=1;k<=ncovcombmax;k++)
                   12393:            mobaverages[i][j][k]=0.;
1.219     brouard  12394:       mobaverage=mobaverages;
                   12395:       if (mobilav!=0) {
1.235     brouard  12396:        printf("Movingaveraging observed prevalence\n");
1.258     brouard  12397:        fprintf(ficlog,"Movingaveraging observed prevalence\n");
1.227     brouard  12398:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilav)!=0){
                   12399:          fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   12400:          printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   12401:        }
1.269     brouard  12402:       } else if (mobilavproj !=0) {
1.235     brouard  12403:        printf("Movingaveraging projected observed prevalence\n");
1.258     brouard  12404:        fprintf(ficlog,"Movingaveraging projected observed prevalence\n");
1.227     brouard  12405:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilavproj)!=0){
                   12406:          fprintf(ficlog," Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   12407:          printf(" Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   12408:        }
1.269     brouard  12409:       }else{
                   12410:        printf("Internal error moving average\n");
                   12411:        fflush(stdout);
                   12412:        exit(1);
1.219     brouard  12413:       }
                   12414:     }/* end if moving average */
1.227     brouard  12415:     
1.126     brouard  12416:     /*---------- Forecasting ------------------*/
                   12417:     if(prevfcast==1){
                   12418:       /*    if(stepm ==1){*/
1.269     brouard  12419:       prevforecast(fileresu, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, mobaverage, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
1.126     brouard  12420:     }
1.269     brouard  12421: 
                   12422:     /* Backcasting */
1.217     brouard  12423:     if(backcast==1){
1.219     brouard  12424:       ddnewms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   12425:       ddoldms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   12426:       ddsavms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);
                   12427: 
                   12428:       /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
                   12429: 
                   12430:       bprlim=matrix(1,nlstate,1,nlstate);
1.269     brouard  12431: 
1.219     brouard  12432:       back_prevalence_limit(p, bprlim,  ageminpar, agemaxpar, ftolpl, &ncvyear, dateprev1, dateprev2, firstpass, lastpass, mobilavproj);
                   12433:       fclose(ficresplb);
                   12434: 
1.222     brouard  12435:       hBijx(p, bage, fage, mobaverage);
                   12436:       fclose(ficrespijb);
1.219     brouard  12437: 
1.269     brouard  12438:       prevbackforecast(fileresu, mobaverage, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2,
                   12439:                       mobilavproj, bage, fage, firstpass, lastpass, anback2, p, cptcoveff);
                   12440:       varbprlim(fileresu, nresult, mobaverage, mobilavproj, bage, fage, bprlim, &ncvyear, ftolpl, p, matcov, delti, stepm, cptcoveff);
1.268     brouard  12441: 
                   12442:       
1.269     brouard  12443:       free_matrix(bprlim,1,nlstate,1,nlstate); /*here or after loop ? */
1.219     brouard  12444:       free_matrix(ddnewms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   12445:       free_matrix(ddsavms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   12446:       free_matrix(ddoldms, 1, nlstate+ndeath, 1, nlstate+ndeath);
1.269     brouard  12447:     }    /* end  Backcasting */
1.268     brouard  12448:  
1.186     brouard  12449:  
                   12450:     /* ------ Other prevalence ratios------------ */
1.126     brouard  12451: 
1.215     brouard  12452:     free_ivector(wav,1,imx);
                   12453:     free_imatrix(dh,1,lastpass-firstpass+2,1,imx);
                   12454:     free_imatrix(bh,1,lastpass-firstpass+2,1,imx);
                   12455:     free_imatrix(mw,1,lastpass-firstpass+2,1,imx);   
1.218     brouard  12456:                
                   12457:                
1.127     brouard  12458:     /*---------- Health expectancies, no variances ------------*/
1.218     brouard  12459:                
1.201     brouard  12460:     strcpy(filerese,"E_");
                   12461:     strcat(filerese,fileresu);
1.126     brouard  12462:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   12463:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   12464:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   12465:     }
1.208     brouard  12466:     printf("Computing Health Expectancies: result on file '%s' ...", filerese);fflush(stdout);
                   12467:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' ...", filerese);fflush(ficlog);
1.238     brouard  12468: 
                   12469:     pstamp(ficreseij);
1.219     brouard  12470:                
1.235     brouard  12471:     i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
                   12472:     if (cptcovn < 1){i1=1;}
                   12473:     
                   12474:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   12475:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  12476:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  12477:        continue;
1.219     brouard  12478:       fprintf(ficreseij,"\n#****** ");
1.235     brouard  12479:       printf("\n#****** ");
1.225     brouard  12480:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  12481:        fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  12482:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12483:       }
                   12484:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12485:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12486:        fprintf(ficreseij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
1.219     brouard  12487:       }
                   12488:       fprintf(ficreseij,"******\n");
1.235     brouard  12489:       printf("******\n");
1.219     brouard  12490:       
                   12491:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   12492:       oldm=oldms;savm=savms;
1.235     brouard  12493:       evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart, nres);  
1.127     brouard  12494:       
1.219     brouard  12495:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.127     brouard  12496:     }
                   12497:     fclose(ficreseij);
1.208     brouard  12498:     printf("done evsij\n");fflush(stdout);
                   12499:     fprintf(ficlog,"done evsij\n");fflush(ficlog);
1.269     brouard  12500: 
1.218     brouard  12501:                
1.227     brouard  12502:     /*---------- State-specific expectancies and variances ------------*/
1.218     brouard  12503:                
1.201     brouard  12504:     strcpy(filerest,"T_");
                   12505:     strcat(filerest,fileresu);
1.127     brouard  12506:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   12507:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   12508:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   12509:     }
1.208     brouard  12510:     printf("Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(stdout);
                   12511:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(ficlog);
1.201     brouard  12512:     strcpy(fileresstde,"STDE_");
                   12513:     strcat(fileresstde,fileresu);
1.126     brouard  12514:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
1.227     brouard  12515:       printf("Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   12516:       fprintf(ficlog,"Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
1.126     brouard  12517:     }
1.227     brouard  12518:     printf("  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   12519:     fprintf(ficlog,"  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
1.126     brouard  12520: 
1.201     brouard  12521:     strcpy(filerescve,"CVE_");
                   12522:     strcat(filerescve,fileresu);
1.126     brouard  12523:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
1.227     brouard  12524:       printf("Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
                   12525:       fprintf(ficlog,"Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
1.126     brouard  12526:     }
1.227     brouard  12527:     printf("    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
                   12528:     fprintf(ficlog,"    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
1.126     brouard  12529: 
1.201     brouard  12530:     strcpy(fileresv,"V_");
                   12531:     strcat(fileresv,fileresu);
1.126     brouard  12532:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   12533:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   12534:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   12535:     }
1.227     brouard  12536:     printf("      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(stdout);
                   12537:     fprintf(ficlog,"      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(ficlog);
1.126     brouard  12538: 
1.235     brouard  12539:     i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
                   12540:     if (cptcovn < 1){i1=1;}
                   12541:     
                   12542:     for(nres=1; nres <= nresult; nres++) /* For each resultline */
                   12543:     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
1.253     brouard  12544:       if(i1 != 1 && TKresult[nres]!= k)
1.235     brouard  12545:        continue;
1.242     brouard  12546:       printf("\n#****** Result for:");
                   12547:       fprintf(ficrest,"\n#****** Result for:");
                   12548:       fprintf(ficlog,"\n#****** Result for:");
1.227     brouard  12549:       for(j=1;j<=cptcoveff;j++){ 
                   12550:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12551:        fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12552:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12553:       }
1.235     brouard  12554:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12555:        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12556:        fprintf(ficrest," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12557:        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12558:       }        
1.208     brouard  12559:       fprintf(ficrest,"******\n");
1.227     brouard  12560:       fprintf(ficlog,"******\n");
                   12561:       printf("******\n");
1.208     brouard  12562:       
                   12563:       fprintf(ficresstdeij,"\n#****** ");
                   12564:       fprintf(ficrescveij,"\n#****** ");
1.225     brouard  12565:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  12566:        fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   12567:        fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  12568:       }
1.235     brouard  12569:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12570:        fprintf(ficresstdeij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12571:        fprintf(ficrescveij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12572:       }        
1.208     brouard  12573:       fprintf(ficresstdeij,"******\n");
                   12574:       fprintf(ficrescveij,"******\n");
                   12575:       
                   12576:       fprintf(ficresvij,"\n#****** ");
1.238     brouard  12577:       /* pstamp(ficresvij); */
1.225     brouard  12578:       for(j=1;j<=cptcoveff;j++) 
1.227     brouard  12579:        fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.235     brouard  12580:       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
                   12581:        fprintf(ficresvij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
                   12582:       }        
1.208     brouard  12583:       fprintf(ficresvij,"******\n");
                   12584:       
                   12585:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   12586:       oldm=oldms;savm=savms;
1.235     brouard  12587:       printf(" cvevsij ");
                   12588:       fprintf(ficlog, " cvevsij ");
                   12589:       cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart, nres);
1.208     brouard  12590:       printf(" end cvevsij \n ");
                   12591:       fprintf(ficlog, " end cvevsij \n ");
                   12592:       
                   12593:       /*
                   12594:        */
                   12595:       /* goto endfree; */
                   12596:       
                   12597:       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   12598:       pstamp(ficrest);
                   12599:       
1.269     brouard  12600:       epj=vector(1,nlstate+1);
1.208     brouard  12601:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.227     brouard  12602:        oldm=oldms;savm=savms; /* ZZ Segmentation fault */
                   12603:        cptcod= 0; /* To be deleted */
                   12604:        printf("varevsij vpopbased=%d \n",vpopbased);
                   12605:        fprintf(ficlog, "varevsij vpopbased=%d \n",vpopbased);
1.235     brouard  12606:        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  12607:        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 ");
                   12608:        if(vpopbased==1)
                   12609:          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);
                   12610:        else
1.288     brouard  12611:          fprintf(ficrest,"the age specific forward period (stable) prevalences in each health state \n");
1.227     brouard  12612:        fprintf(ficrest,"# Age popbased mobilav e.. (std) ");
                   12613:        for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
                   12614:        fprintf(ficrest,"\n");
                   12615:        /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
1.288     brouard  12616:        printf("Computing age specific forward period (stable) prevalences in each health state \n");
                   12617:        fprintf(ficlog,"Computing age specific forward period (stable) prevalences in each health state \n");
1.227     brouard  12618:        for(age=bage; age <=fage ;age++){
1.235     brouard  12619:          prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, &ncvyear, k, nres); /*ZZ Is it the correct prevalim */
1.227     brouard  12620:          if (vpopbased==1) {
                   12621:            if(mobilav ==0){
                   12622:              for(i=1; i<=nlstate;i++)
                   12623:                prlim[i][i]=probs[(int)age][i][k];
                   12624:            }else{ /* mobilav */ 
                   12625:              for(i=1; i<=nlstate;i++)
                   12626:                prlim[i][i]=mobaverage[(int)age][i][k];
                   12627:            }
                   12628:          }
1.219     brouard  12629:          
1.227     brouard  12630:          fprintf(ficrest," %4.0f %d %d",age, vpopbased, mobilav);
                   12631:          /* fprintf(ficrest," %4.0f %d %d %d %d",age, vpopbased, mobilav,Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */ /* to be done */
                   12632:          /* printf(" age %4.0f ",age); */
                   12633:          for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                   12634:            for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   12635:              epj[j] += prlim[i][i]*eij[i][j][(int)age];
                   12636:              /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   12637:              /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
                   12638:            }
                   12639:            epj[nlstate+1] +=epj[j];
                   12640:          }
                   12641:          /* printf(" age %4.0f \n",age); */
1.219     brouard  12642:          
1.227     brouard  12643:          for(i=1, vepp=0.;i <=nlstate;i++)
                   12644:            for(j=1;j <=nlstate;j++)
                   12645:              vepp += vareij[i][j][(int)age];
                   12646:          fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
                   12647:          for(j=1;j <=nlstate;j++){
                   12648:            fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
                   12649:          }
                   12650:          fprintf(ficrest,"\n");
                   12651:        }
1.208     brouard  12652:       } /* End vpopbased */
1.269     brouard  12653:       free_vector(epj,1,nlstate+1);
1.208     brouard  12654:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   12655:       free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.235     brouard  12656:       printf("done selection\n");fflush(stdout);
                   12657:       fprintf(ficlog,"done selection\n");fflush(ficlog);
1.208     brouard  12658:       
1.235     brouard  12659:     } /* End k selection */
1.227     brouard  12660: 
                   12661:     printf("done State-specific expectancies\n");fflush(stdout);
                   12662:     fprintf(ficlog,"done State-specific expectancies\n");fflush(ficlog);
                   12663: 
1.288     brouard  12664:     /* variance-covariance of forward period prevalence*/
1.269     brouard  12665:     varprlim(fileresu, nresult, mobaverage, mobilavproj, bage, fage, prlim, &ncvyear, ftolpl, p, matcov, delti, stepm, cptcoveff);
1.268     brouard  12666: 
1.227     brouard  12667:     
1.290   ! brouard  12668:     free_vector(weight,firstobs,lastobs);
1.227     brouard  12669:     free_imatrix(Tvard,1,NCOVMAX,1,2);
1.290   ! brouard  12670:     free_imatrix(s,1,maxwav+1,firstobs,lastobs);
        !          12671:     free_matrix(anint,1,maxwav,firstobs,lastobs); 
        !          12672:     free_matrix(mint,1,maxwav,firstobs,lastobs);
        !          12673:     free_ivector(cod,firstobs,lastobs);
1.227     brouard  12674:     free_ivector(tab,1,NCOVMAX);
                   12675:     fclose(ficresstdeij);
                   12676:     fclose(ficrescveij);
                   12677:     fclose(ficresvij);
                   12678:     fclose(ficrest);
                   12679:     fclose(ficpar);
                   12680:     
                   12681:     
1.126     brouard  12682:     /*---------- End : free ----------------*/
1.219     brouard  12683:     if (mobilav!=0 ||mobilavproj !=0)
1.269     brouard  12684:       free_ma3x(mobaverages,AGEINF, AGESUP,1,nlstate+ndeath, 1,ncovcombmax); /* We need to have a squared matrix with prevalence of the dead! */
                   12685:     free_ma3x(probs,AGEINF,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.220     brouard  12686:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
                   12687:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
1.126     brouard  12688:   }  /* mle==-3 arrives here for freeing */
1.227     brouard  12689:   /* endfree:*/
                   12690:   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   12691:   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   12692:   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
1.290   ! brouard  12693:   if(ntv+nqtv>=1)free_ma3x(cotvar,1,maxwav,1,ntv+nqtv,firstobs,lastobs);
        !          12694:   if(nqtv>=1)free_ma3x(cotqvar,1,maxwav,1,nqtv,firstobs,lastobs);
        !          12695:   if(nqv>=1)free_matrix(coqvar,1,nqv,firstobs,lastobs);
        !          12696:   free_matrix(covar,0,NCOVMAX,firstobs,lastobs);
1.227     brouard  12697:   free_matrix(matcov,1,npar,1,npar);
                   12698:   free_matrix(hess,1,npar,1,npar);
                   12699:   /*free_vector(delti,1,npar);*/
                   12700:   free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   12701:   free_matrix(agev,1,maxwav,1,imx);
1.269     brouard  12702:   free_ma3x(paramstart,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
1.227     brouard  12703:   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   12704:   
                   12705:   free_ivector(ncodemax,1,NCOVMAX);
                   12706:   free_ivector(ncodemaxwundef,1,NCOVMAX);
                   12707:   free_ivector(Dummy,-1,NCOVMAX);
                   12708:   free_ivector(Fixed,-1,NCOVMAX);
1.238     brouard  12709:   free_ivector(DummyV,1,NCOVMAX);
                   12710:   free_ivector(FixedV,1,NCOVMAX);
1.227     brouard  12711:   free_ivector(Typevar,-1,NCOVMAX);
                   12712:   free_ivector(Tvar,1,NCOVMAX);
1.234     brouard  12713:   free_ivector(TvarsQ,1,NCOVMAX);
                   12714:   free_ivector(TvarsQind,1,NCOVMAX);
                   12715:   free_ivector(TvarsD,1,NCOVMAX);
                   12716:   free_ivector(TvarsDind,1,NCOVMAX);
1.231     brouard  12717:   free_ivector(TvarFD,1,NCOVMAX);
                   12718:   free_ivector(TvarFDind,1,NCOVMAX);
1.232     brouard  12719:   free_ivector(TvarF,1,NCOVMAX);
                   12720:   free_ivector(TvarFind,1,NCOVMAX);
                   12721:   free_ivector(TvarV,1,NCOVMAX);
                   12722:   free_ivector(TvarVind,1,NCOVMAX);
                   12723:   free_ivector(TvarA,1,NCOVMAX);
                   12724:   free_ivector(TvarAind,1,NCOVMAX);
1.231     brouard  12725:   free_ivector(TvarFQ,1,NCOVMAX);
                   12726:   free_ivector(TvarFQind,1,NCOVMAX);
                   12727:   free_ivector(TvarVD,1,NCOVMAX);
                   12728:   free_ivector(TvarVDind,1,NCOVMAX);
                   12729:   free_ivector(TvarVQ,1,NCOVMAX);
                   12730:   free_ivector(TvarVQind,1,NCOVMAX);
1.230     brouard  12731:   free_ivector(Tvarsel,1,NCOVMAX);
                   12732:   free_vector(Tvalsel,1,NCOVMAX);
1.227     brouard  12733:   free_ivector(Tposprod,1,NCOVMAX);
                   12734:   free_ivector(Tprod,1,NCOVMAX);
                   12735:   free_ivector(Tvaraff,1,NCOVMAX);
                   12736:   free_ivector(invalidvarcomb,1,ncovcombmax);
                   12737:   free_ivector(Tage,1,NCOVMAX);
                   12738:   free_ivector(Tmodelind,1,NCOVMAX);
1.228     brouard  12739:   free_ivector(TmodelInvind,1,NCOVMAX);
                   12740:   free_ivector(TmodelInvQind,1,NCOVMAX);
1.227     brouard  12741:   
                   12742:   free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
                   12743:   /* free_imatrix(codtab,1,100,1,10); */
1.126     brouard  12744:   fflush(fichtm);
                   12745:   fflush(ficgp);
                   12746:   
1.227     brouard  12747:   
1.126     brouard  12748:   if((nberr >0) || (nbwarn>0)){
1.216     brouard  12749:     printf("End of Imach with %d errors and/or %d warnings. Please look at the log file for details.\n",nberr,nbwarn);
                   12750:     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  12751:   }else{
                   12752:     printf("End of Imach\n");
                   12753:     fprintf(ficlog,"End of Imach\n");
                   12754:   }
                   12755:   printf("See log file on %s\n",filelog);
                   12756:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  12757:   /*(void) gettimeofday(&end_time,&tzp);*/
                   12758:   rend_time = time(NULL);  
                   12759:   end_time = *localtime(&rend_time);
                   12760:   /* tml = *localtime(&end_time.tm_sec); */
                   12761:   strcpy(strtend,asctime(&end_time));
1.126     brouard  12762:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   12763:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  12764:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.227     brouard  12765:   
1.157     brouard  12766:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   12767:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   12768:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  12769:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   12770: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   12771:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   12772:   fclose(fichtm);
                   12773:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   12774:   fclose(fichtmcov);
                   12775:   fclose(ficgp);
                   12776:   fclose(ficlog);
                   12777:   /*------ End -----------*/
1.227     brouard  12778:   
1.281     brouard  12779: 
                   12780: /* Executes gnuplot */
1.227     brouard  12781:   
                   12782:   printf("Before Current directory %s!\n",pathcd);
1.184     brouard  12783: #ifdef WIN32
1.227     brouard  12784:   if (_chdir(pathcd) != 0)
                   12785:     printf("Can't move to directory %s!\n",path);
                   12786:   if(_getcwd(pathcd,MAXLINE) > 0)
1.184     brouard  12787: #else
1.227     brouard  12788:     if(chdir(pathcd) != 0)
                   12789:       printf("Can't move to directory %s!\n", path);
                   12790:   if (getcwd(pathcd, MAXLINE) > 0)
1.184     brouard  12791: #endif 
1.126     brouard  12792:     printf("Current directory %s!\n",pathcd);
                   12793:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   12794:   sprintf(plotcmd,"gnuplot");
1.157     brouard  12795: #ifdef _WIN32
1.126     brouard  12796:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   12797: #endif
                   12798:   if(!stat(plotcmd,&info)){
1.158     brouard  12799:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  12800:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  12801:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  12802:     }else
                   12803:       strcpy(pplotcmd,plotcmd);
1.157     brouard  12804: #ifdef __unix
1.126     brouard  12805:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   12806:     if(!stat(plotcmd,&info)){
1.158     brouard  12807:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  12808:     }else
                   12809:       strcpy(pplotcmd,plotcmd);
                   12810: #endif
                   12811:   }else
                   12812:     strcpy(pplotcmd,plotcmd);
                   12813:   
                   12814:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  12815:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.227     brouard  12816:   
1.126     brouard  12817:   if((outcmd=system(plotcmd)) != 0){
1.158     brouard  12818:     printf("gnuplot command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  12819:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  12820:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.150     brouard  12821:     if((outcmd=system(plotcmd)) != 0)
1.153     brouard  12822:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.126     brouard  12823:   }
1.158     brouard  12824:   printf(" Successful, please wait...");
1.126     brouard  12825:   while (z[0] != 'q') {
                   12826:     /* chdir(path); */
1.154     brouard  12827:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  12828:     scanf("%s",z);
                   12829: /*     if (z[0] == 'c') system("./imach"); */
                   12830:     if (z[0] == 'e') {
1.158     brouard  12831: #ifdef __APPLE__
1.152     brouard  12832:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  12833: #elif __linux
                   12834:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  12835: #else
1.152     brouard  12836:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  12837: #endif
                   12838:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   12839:       system(pplotcmd);
1.126     brouard  12840:     }
                   12841:     else if (z[0] == 'g') system(plotcmd);
                   12842:     else if (z[0] == 'q') exit(0);
                   12843:   }
1.227     brouard  12844: end:
1.126     brouard  12845:   while (z[0] != 'q') {
1.195     brouard  12846:     printf("\nType  q for exiting: "); fflush(stdout);
1.126     brouard  12847:     scanf("%s",z);
                   12848:   }
1.283     brouard  12849:   printf("End\n");
1.282     brouard  12850:   exit(0);
1.126     brouard  12851: }

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