Annotation of imach/src/imach.c, revision 1.198

1.198   ! brouard     1: /* $Id: imach.c,v 1.197 2015/09/01 18:24:39 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.198   ! brouard     4:   Revision 1.197  2015/09/01 18:24:39  brouard
        !             5:   *** empty log message ***
        !             6: 
1.197     brouard     7:   Revision 1.196  2015/08/18 23:17:52  brouard
                      8:   Summary: 0.98q5
                      9: 
1.196     brouard    10:   Revision 1.195  2015/08/18 16:28:39  brouard
                     11:   Summary: Adding a hack for testing purpose
                     12: 
                     13:   After reading the title, ftol and model lines, if the comment line has
                     14:   a q, starting with #q, the answer at the end of the run is quit. It
                     15:   permits to run test files in batch with ctest. The former workaround was
                     16:   $ echo q | imach foo.imach
                     17: 
1.195     brouard    18:   Revision 1.194  2015/08/18 13:32:00  brouard
                     19:   Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
                     20: 
1.194     brouard    21:   Revision 1.193  2015/08/04 07:17:42  brouard
                     22:   Summary: 0.98q4
                     23: 
1.193     brouard    24:   Revision 1.192  2015/07/16 16:49:02  brouard
                     25:   Summary: Fixing some outputs
                     26: 
1.192     brouard    27:   Revision 1.191  2015/07/14 10:00:33  brouard
                     28:   Summary: Some fixes
                     29: 
1.191     brouard    30:   Revision 1.190  2015/05/05 08:51:13  brouard
                     31:   Summary: Adding digits in output parameters (7 digits instead of 6)
                     32: 
                     33:   Fix 1+age+.
                     34: 
1.190     brouard    35:   Revision 1.189  2015/04/30 14:45:16  brouard
                     36:   Summary: 0.98q2
                     37: 
1.189     brouard    38:   Revision 1.188  2015/04/30 08:27:53  brouard
                     39:   *** empty log message ***
                     40: 
1.188     brouard    41:   Revision 1.187  2015/04/29 09:11:15  brouard
                     42:   *** empty log message ***
                     43: 
1.187     brouard    44:   Revision 1.186  2015/04/23 12:01:52  brouard
                     45:   Summary: V1*age is working now, version 0.98q1
                     46: 
                     47:   Some codes had been disabled in order to simplify and Vn*age was
                     48:   working in the optimization phase, ie, giving correct MLE parameters,
                     49:   but, as usual, outputs were not correct and program core dumped.
                     50: 
1.186     brouard    51:   Revision 1.185  2015/03/11 13:26:42  brouard
                     52:   Summary: Inclusion of compile and links command line for Intel Compiler
                     53: 
1.185     brouard    54:   Revision 1.184  2015/03/11 11:52:39  brouard
                     55:   Summary: Back from Windows 8. Intel Compiler
                     56: 
1.184     brouard    57:   Revision 1.183  2015/03/10 20:34:32  brouard
                     58:   Summary: 0.98q0, trying with directest, mnbrak fixed
                     59: 
                     60:   We use directest instead of original Powell test; probably no
                     61:   incidence on the results, but better justifications;
                     62:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                     63:   wrong results.
                     64: 
1.183     brouard    65:   Revision 1.182  2015/02/12 08:19:57  brouard
                     66:   Summary: Trying to keep directest which seems simpler and more general
                     67:   Author: Nicolas Brouard
                     68: 
1.182     brouard    69:   Revision 1.181  2015/02/11 23:22:24  brouard
                     70:   Summary: Comments on Powell added
                     71: 
                     72:   Author:
                     73: 
1.181     brouard    74:   Revision 1.180  2015/02/11 17:33:45  brouard
                     75:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                     76: 
1.180     brouard    77:   Revision 1.179  2015/01/04 09:57:06  brouard
                     78:   Summary: back to OS/X
                     79: 
1.179     brouard    80:   Revision 1.178  2015/01/04 09:35:48  brouard
                     81:   *** empty log message ***
                     82: 
1.178     brouard    83:   Revision 1.177  2015/01/03 18:40:56  brouard
                     84:   Summary: Still testing ilc32 on OSX
                     85: 
1.177     brouard    86:   Revision 1.176  2015/01/03 16:45:04  brouard
                     87:   *** empty log message ***
                     88: 
1.176     brouard    89:   Revision 1.175  2015/01/03 16:33:42  brouard
                     90:   *** empty log message ***
                     91: 
1.175     brouard    92:   Revision 1.174  2015/01/03 16:15:49  brouard
                     93:   Summary: Still in cross-compilation
                     94: 
1.174     brouard    95:   Revision 1.173  2015/01/03 12:06:26  brouard
                     96:   Summary: trying to detect cross-compilation
                     97: 
1.173     brouard    98:   Revision 1.172  2014/12/27 12:07:47  brouard
                     99:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                    100: 
1.172     brouard   101:   Revision 1.171  2014/12/23 13:26:59  brouard
                    102:   Summary: Back from Visual C
                    103: 
                    104:   Still problem with utsname.h on Windows
                    105: 
1.171     brouard   106:   Revision 1.170  2014/12/23 11:17:12  brouard
                    107:   Summary: Cleaning some \%% back to %%
                    108: 
                    109:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                    110: 
1.170     brouard   111:   Revision 1.169  2014/12/22 23:08:31  brouard
                    112:   Summary: 0.98p
                    113: 
                    114:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                    115: 
1.169     brouard   116:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard   117:   Summary: update
1.169     brouard   118: 
1.168     brouard   119:   Revision 1.167  2014/12/22 13:50:56  brouard
                    120:   Summary: Testing uname and compiler version and if compiled 32 or 64
                    121: 
                    122:   Testing on Linux 64
                    123: 
1.167     brouard   124:   Revision 1.166  2014/12/22 11:40:47  brouard
                    125:   *** empty log message ***
                    126: 
1.166     brouard   127:   Revision 1.165  2014/12/16 11:20:36  brouard
                    128:   Summary: After compiling on Visual C
                    129: 
                    130:   * imach.c (Module): Merging 1.61 to 1.162
                    131: 
1.165     brouard   132:   Revision 1.164  2014/12/16 10:52:11  brouard
                    133:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    134: 
                    135:   * imach.c (Module): Merging 1.61 to 1.162
                    136: 
1.164     brouard   137:   Revision 1.163  2014/12/16 10:30:11  brouard
                    138:   * imach.c (Module): Merging 1.61 to 1.162
                    139: 
1.163     brouard   140:   Revision 1.162  2014/09/25 11:43:39  brouard
                    141:   Summary: temporary backup 0.99!
                    142: 
1.162     brouard   143:   Revision 1.1  2014/09/16 11:06:58  brouard
                    144:   Summary: With some code (wrong) for nlopt
                    145: 
                    146:   Author:
                    147: 
                    148:   Revision 1.161  2014/09/15 20:41:41  brouard
                    149:   Summary: Problem with macro SQR on Intel compiler
                    150: 
1.161     brouard   151:   Revision 1.160  2014/09/02 09:24:05  brouard
                    152:   *** empty log message ***
                    153: 
1.160     brouard   154:   Revision 1.159  2014/09/01 10:34:10  brouard
                    155:   Summary: WIN32
                    156:   Author: Brouard
                    157: 
1.159     brouard   158:   Revision 1.158  2014/08/27 17:11:51  brouard
                    159:   *** empty log message ***
                    160: 
1.158     brouard   161:   Revision 1.157  2014/08/27 16:26:55  brouard
                    162:   Summary: Preparing windows Visual studio version
                    163:   Author: Brouard
                    164: 
                    165:   In order to compile on Visual studio, time.h is now correct and time_t
                    166:   and tm struct should be used. difftime should be used but sometimes I
                    167:   just make the differences in raw time format (time(&now).
                    168:   Trying to suppress #ifdef LINUX
                    169:   Add xdg-open for __linux in order to open default browser.
                    170: 
1.157     brouard   171:   Revision 1.156  2014/08/25 20:10:10  brouard
                    172:   *** empty log message ***
                    173: 
1.156     brouard   174:   Revision 1.155  2014/08/25 18:32:34  brouard
                    175:   Summary: New compile, minor changes
                    176:   Author: Brouard
                    177: 
1.155     brouard   178:   Revision 1.154  2014/06/20 17:32:08  brouard
                    179:   Summary: Outputs now all graphs of convergence to period prevalence
                    180: 
1.154     brouard   181:   Revision 1.153  2014/06/20 16:45:46  brouard
                    182:   Summary: If 3 live state, convergence to period prevalence on same graph
                    183:   Author: Brouard
                    184: 
1.153     brouard   185:   Revision 1.152  2014/06/18 17:54:09  brouard
                    186:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    187: 
1.152     brouard   188:   Revision 1.151  2014/06/18 16:43:30  brouard
                    189:   *** empty log message ***
                    190: 
1.151     brouard   191:   Revision 1.150  2014/06/18 16:42:35  brouard
                    192:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    193:   Author: brouard
                    194: 
1.150     brouard   195:   Revision 1.149  2014/06/18 15:51:14  brouard
                    196:   Summary: Some fixes in parameter files errors
                    197:   Author: Nicolas Brouard
                    198: 
1.149     brouard   199:   Revision 1.148  2014/06/17 17:38:48  brouard
                    200:   Summary: Nothing new
                    201:   Author: Brouard
                    202: 
                    203:   Just a new packaging for OS/X version 0.98nS
                    204: 
1.148     brouard   205:   Revision 1.147  2014/06/16 10:33:11  brouard
                    206:   *** empty log message ***
                    207: 
1.147     brouard   208:   Revision 1.146  2014/06/16 10:20:28  brouard
                    209:   Summary: Merge
                    210:   Author: Brouard
                    211: 
                    212:   Merge, before building revised version.
                    213: 
1.146     brouard   214:   Revision 1.145  2014/06/10 21:23:15  brouard
                    215:   Summary: Debugging with valgrind
                    216:   Author: Nicolas Brouard
                    217: 
                    218:   Lot of changes in order to output the results with some covariates
                    219:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    220:   improve the code.
                    221:   No more memory valgrind error but a lot has to be done in order to
                    222:   continue the work of splitting the code into subroutines.
                    223:   Also, decodemodel has been improved. Tricode is still not
                    224:   optimal. nbcode should be improved. Documentation has been added in
                    225:   the source code.
                    226: 
1.144     brouard   227:   Revision 1.143  2014/01/26 09:45:38  brouard
                    228:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    229: 
                    230:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    231:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    232: 
1.143     brouard   233:   Revision 1.142  2014/01/26 03:57:36  brouard
                    234:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    235: 
                    236:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    237: 
1.142     brouard   238:   Revision 1.141  2014/01/26 02:42:01  brouard
                    239:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    240: 
1.141     brouard   241:   Revision 1.140  2011/09/02 10:37:54  brouard
                    242:   Summary: times.h is ok with mingw32 now.
                    243: 
1.140     brouard   244:   Revision 1.139  2010/06/14 07:50:17  brouard
                    245:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    246:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    247: 
1.139     brouard   248:   Revision 1.138  2010/04/30 18:19:40  brouard
                    249:   *** empty log message ***
                    250: 
1.138     brouard   251:   Revision 1.137  2010/04/29 18:11:38  brouard
                    252:   (Module): Checking covariates for more complex models
                    253:   than V1+V2. A lot of change to be done. Unstable.
                    254: 
1.137     brouard   255:   Revision 1.136  2010/04/26 20:30:53  brouard
                    256:   (Module): merging some libgsl code. Fixing computation
                    257:   of likelione (using inter/intrapolation if mle = 0) in order to
                    258:   get same likelihood as if mle=1.
                    259:   Some cleaning of code and comments added.
                    260: 
1.136     brouard   261:   Revision 1.135  2009/10/29 15:33:14  brouard
                    262:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    263: 
1.135     brouard   264:   Revision 1.134  2009/10/29 13:18:53  brouard
                    265:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    266: 
1.134     brouard   267:   Revision 1.133  2009/07/06 10:21:25  brouard
                    268:   just nforces
                    269: 
1.133     brouard   270:   Revision 1.132  2009/07/06 08:22:05  brouard
                    271:   Many tings
                    272: 
1.132     brouard   273:   Revision 1.131  2009/06/20 16:22:47  brouard
                    274:   Some dimensions resccaled
                    275: 
1.131     brouard   276:   Revision 1.130  2009/05/26 06:44:34  brouard
                    277:   (Module): Max Covariate is now set to 20 instead of 8. A
                    278:   lot of cleaning with variables initialized to 0. Trying to make
                    279:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    280: 
1.130     brouard   281:   Revision 1.129  2007/08/31 13:49:27  lievre
                    282:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    283: 
1.129     lievre    284:   Revision 1.128  2006/06/30 13:02:05  brouard
                    285:   (Module): Clarifications on computing e.j
                    286: 
1.128     brouard   287:   Revision 1.127  2006/04/28 18:11:50  brouard
                    288:   (Module): Yes the sum of survivors was wrong since
                    289:   imach-114 because nhstepm was no more computed in the age
                    290:   loop. Now we define nhstepma in the age loop.
                    291:   (Module): In order to speed up (in case of numerous covariates) we
                    292:   compute health expectancies (without variances) in a first step
                    293:   and then all the health expectancies with variances or standard
                    294:   deviation (needs data from the Hessian matrices) which slows the
                    295:   computation.
                    296:   In the future we should be able to stop the program is only health
                    297:   expectancies and graph are needed without standard deviations.
                    298: 
1.127     brouard   299:   Revision 1.126  2006/04/28 17:23:28  brouard
                    300:   (Module): Yes the sum of survivors was wrong since
                    301:   imach-114 because nhstepm was no more computed in the age
                    302:   loop. Now we define nhstepma in the age loop.
                    303:   Version 0.98h
                    304: 
1.126     brouard   305:   Revision 1.125  2006/04/04 15:20:31  lievre
                    306:   Errors in calculation of health expectancies. Age was not initialized.
                    307:   Forecasting file added.
                    308: 
                    309:   Revision 1.124  2006/03/22 17:13:53  lievre
                    310:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    311:   The log-likelihood is printed in the log file
                    312: 
                    313:   Revision 1.123  2006/03/20 10:52:43  brouard
                    314:   * imach.c (Module): <title> changed, corresponds to .htm file
                    315:   name. <head> headers where missing.
                    316: 
                    317:   * imach.c (Module): Weights can have a decimal point as for
                    318:   English (a comma might work with a correct LC_NUMERIC environment,
                    319:   otherwise the weight is truncated).
                    320:   Modification of warning when the covariates values are not 0 or
                    321:   1.
                    322:   Version 0.98g
                    323: 
                    324:   Revision 1.122  2006/03/20 09:45:41  brouard
                    325:   (Module): Weights can have a decimal point as for
                    326:   English (a comma might work with a correct LC_NUMERIC environment,
                    327:   otherwise the weight is truncated).
                    328:   Modification of warning when the covariates values are not 0 or
                    329:   1.
                    330:   Version 0.98g
                    331: 
                    332:   Revision 1.121  2006/03/16 17:45:01  lievre
                    333:   * imach.c (Module): Comments concerning covariates added
                    334: 
                    335:   * imach.c (Module): refinements in the computation of lli if
                    336:   status=-2 in order to have more reliable computation if stepm is
                    337:   not 1 month. Version 0.98f
                    338: 
                    339:   Revision 1.120  2006/03/16 15:10:38  lievre
                    340:   (Module): refinements in the computation of lli if
                    341:   status=-2 in order to have more reliable computation if stepm is
                    342:   not 1 month. Version 0.98f
                    343: 
                    344:   Revision 1.119  2006/03/15 17:42:26  brouard
                    345:   (Module): Bug if status = -2, the loglikelihood was
                    346:   computed as likelihood omitting the logarithm. Version O.98e
                    347: 
                    348:   Revision 1.118  2006/03/14 18:20:07  brouard
                    349:   (Module): varevsij Comments added explaining the second
                    350:   table of variances if popbased=1 .
                    351:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    352:   (Module): Function pstamp added
                    353:   (Module): Version 0.98d
                    354: 
                    355:   Revision 1.117  2006/03/14 17:16:22  brouard
                    356:   (Module): varevsij Comments added explaining the second
                    357:   table of variances if popbased=1 .
                    358:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    359:   (Module): Function pstamp added
                    360:   (Module): Version 0.98d
                    361: 
                    362:   Revision 1.116  2006/03/06 10:29:27  brouard
                    363:   (Module): Variance-covariance wrong links and
                    364:   varian-covariance of ej. is needed (Saito).
                    365: 
                    366:   Revision 1.115  2006/02/27 12:17:45  brouard
                    367:   (Module): One freematrix added in mlikeli! 0.98c
                    368: 
                    369:   Revision 1.114  2006/02/26 12:57:58  brouard
                    370:   (Module): Some improvements in processing parameter
                    371:   filename with strsep.
                    372: 
                    373:   Revision 1.113  2006/02/24 14:20:24  brouard
                    374:   (Module): Memory leaks checks with valgrind and:
                    375:   datafile was not closed, some imatrix were not freed and on matrix
                    376:   allocation too.
                    377: 
                    378:   Revision 1.112  2006/01/30 09:55:26  brouard
                    379:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    380: 
                    381:   Revision 1.111  2006/01/25 20:38:18  brouard
                    382:   (Module): Lots of cleaning and bugs added (Gompertz)
                    383:   (Module): Comments can be added in data file. Missing date values
                    384:   can be a simple dot '.'.
                    385: 
                    386:   Revision 1.110  2006/01/25 00:51:50  brouard
                    387:   (Module): Lots of cleaning and bugs added (Gompertz)
                    388: 
                    389:   Revision 1.109  2006/01/24 19:37:15  brouard
                    390:   (Module): Comments (lines starting with a #) are allowed in data.
                    391: 
                    392:   Revision 1.108  2006/01/19 18:05:42  lievre
                    393:   Gnuplot problem appeared...
                    394:   To be fixed
                    395: 
                    396:   Revision 1.107  2006/01/19 16:20:37  brouard
                    397:   Test existence of gnuplot in imach path
                    398: 
                    399:   Revision 1.106  2006/01/19 13:24:36  brouard
                    400:   Some cleaning and links added in html output
                    401: 
                    402:   Revision 1.105  2006/01/05 20:23:19  lievre
                    403:   *** empty log message ***
                    404: 
                    405:   Revision 1.104  2005/09/30 16:11:43  lievre
                    406:   (Module): sump fixed, loop imx fixed, and simplifications.
                    407:   (Module): If the status is missing at the last wave but we know
                    408:   that the person is alive, then we can code his/her status as -2
                    409:   (instead of missing=-1 in earlier versions) and his/her
                    410:   contributions to the likelihood is 1 - Prob of dying from last
                    411:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    412:   the healthy state at last known wave). Version is 0.98
                    413: 
                    414:   Revision 1.103  2005/09/30 15:54:49  lievre
                    415:   (Module): sump fixed, loop imx fixed, and simplifications.
                    416: 
                    417:   Revision 1.102  2004/09/15 17:31:30  brouard
                    418:   Add the possibility to read data file including tab characters.
                    419: 
                    420:   Revision 1.101  2004/09/15 10:38:38  brouard
                    421:   Fix on curr_time
                    422: 
                    423:   Revision 1.100  2004/07/12 18:29:06  brouard
                    424:   Add version for Mac OS X. Just define UNIX in Makefile
                    425: 
                    426:   Revision 1.99  2004/06/05 08:57:40  brouard
                    427:   *** empty log message ***
                    428: 
                    429:   Revision 1.98  2004/05/16 15:05:56  brouard
                    430:   New version 0.97 . First attempt to estimate force of mortality
                    431:   directly from the data i.e. without the need of knowing the health
                    432:   state at each age, but using a Gompertz model: log u =a + b*age .
                    433:   This is the basic analysis of mortality and should be done before any
                    434:   other analysis, in order to test if the mortality estimated from the
                    435:   cross-longitudinal survey is different from the mortality estimated
                    436:   from other sources like vital statistic data.
                    437: 
                    438:   The same imach parameter file can be used but the option for mle should be -3.
                    439: 
1.133     brouard   440:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   441:   former routines in order to include the new code within the former code.
                    442: 
                    443:   The output is very simple: only an estimate of the intercept and of
                    444:   the slope with 95% confident intervals.
                    445: 
                    446:   Current limitations:
                    447:   A) Even if you enter covariates, i.e. with the
                    448:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    449:   B) There is no computation of Life Expectancy nor Life Table.
                    450: 
                    451:   Revision 1.97  2004/02/20 13:25:42  lievre
                    452:   Version 0.96d. Population forecasting command line is (temporarily)
                    453:   suppressed.
                    454: 
                    455:   Revision 1.96  2003/07/15 15:38:55  brouard
                    456:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    457:   rewritten within the same printf. Workaround: many printfs.
                    458: 
                    459:   Revision 1.95  2003/07/08 07:54:34  brouard
                    460:   * imach.c (Repository):
                    461:   (Repository): Using imachwizard code to output a more meaningful covariance
                    462:   matrix (cov(a12,c31) instead of numbers.
                    463: 
                    464:   Revision 1.94  2003/06/27 13:00:02  brouard
                    465:   Just cleaning
                    466: 
                    467:   Revision 1.93  2003/06/25 16:33:55  brouard
                    468:   (Module): On windows (cygwin) function asctime_r doesn't
                    469:   exist so I changed back to asctime which exists.
                    470:   (Module): Version 0.96b
                    471: 
                    472:   Revision 1.92  2003/06/25 16:30:45  brouard
                    473:   (Module): On windows (cygwin) function asctime_r doesn't
                    474:   exist so I changed back to asctime which exists.
                    475: 
                    476:   Revision 1.91  2003/06/25 15:30:29  brouard
                    477:   * imach.c (Repository): Duplicated warning errors corrected.
                    478:   (Repository): Elapsed time after each iteration is now output. It
                    479:   helps to forecast when convergence will be reached. Elapsed time
                    480:   is stamped in powell.  We created a new html file for the graphs
                    481:   concerning matrix of covariance. It has extension -cov.htm.
                    482: 
                    483:   Revision 1.90  2003/06/24 12:34:15  brouard
                    484:   (Module): Some bugs corrected for windows. Also, when
                    485:   mle=-1 a template is output in file "or"mypar.txt with the design
                    486:   of the covariance matrix to be input.
                    487: 
                    488:   Revision 1.89  2003/06/24 12:30:52  brouard
                    489:   (Module): Some bugs corrected for windows. Also, when
                    490:   mle=-1 a template is output in file "or"mypar.txt with the design
                    491:   of the covariance matrix to be input.
                    492: 
                    493:   Revision 1.88  2003/06/23 17:54:56  brouard
                    494:   * 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.
                    495: 
                    496:   Revision 1.87  2003/06/18 12:26:01  brouard
                    497:   Version 0.96
                    498: 
                    499:   Revision 1.86  2003/06/17 20:04:08  brouard
                    500:   (Module): Change position of html and gnuplot routines and added
                    501:   routine fileappend.
                    502: 
                    503:   Revision 1.85  2003/06/17 13:12:43  brouard
                    504:   * imach.c (Repository): Check when date of death was earlier that
                    505:   current date of interview. It may happen when the death was just
                    506:   prior to the death. In this case, dh was negative and likelihood
                    507:   was wrong (infinity). We still send an "Error" but patch by
                    508:   assuming that the date of death was just one stepm after the
                    509:   interview.
                    510:   (Repository): Because some people have very long ID (first column)
                    511:   we changed int to long in num[] and we added a new lvector for
                    512:   memory allocation. But we also truncated to 8 characters (left
                    513:   truncation)
                    514:   (Repository): No more line truncation errors.
                    515: 
                    516:   Revision 1.84  2003/06/13 21:44:43  brouard
                    517:   * imach.c (Repository): Replace "freqsummary" at a correct
                    518:   place. It differs from routine "prevalence" which may be called
                    519:   many times. Probs is memory consuming and must be used with
                    520:   parcimony.
                    521:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    522: 
                    523:   Revision 1.83  2003/06/10 13:39:11  lievre
                    524:   *** empty log message ***
                    525: 
                    526:   Revision 1.82  2003/06/05 15:57:20  brouard
                    527:   Add log in  imach.c and  fullversion number is now printed.
                    528: 
                    529: */
                    530: /*
                    531:    Interpolated Markov Chain
                    532: 
                    533:   Short summary of the programme:
                    534:   
                    535:   This program computes Healthy Life Expectancies from
                    536:   cross-longitudinal data. Cross-longitudinal data consist in: -1- a
                    537:   first survey ("cross") where individuals from different ages are
                    538:   interviewed on their health status or degree of disability (in the
                    539:   case of a health survey which is our main interest) -2- at least a
                    540:   second wave of interviews ("longitudinal") which measure each change
                    541:   (if any) in individual health status.  Health expectancies are
                    542:   computed from the time spent in each health state according to a
                    543:   model. More health states you consider, more time is necessary to reach the
                    544:   Maximum Likelihood of the parameters involved in the model.  The
                    545:   simplest model is the multinomial logistic model where pij is the
                    546:   probability to be observed in state j at the second wave
                    547:   conditional to be observed in state i at the first wave. Therefore
                    548:   the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where
                    549:   'age' is age and 'sex' is a covariate. If you want to have a more
                    550:   complex model than "constant and age", you should modify the program
                    551:   where the markup *Covariates have to be included here again* invites
                    552:   you to do it.  More covariates you add, slower the
                    553:   convergence.
                    554: 
                    555:   The advantage of this computer programme, compared to a simple
                    556:   multinomial logistic model, is clear when the delay between waves is not
                    557:   identical for each individual. Also, if a individual missed an
                    558:   intermediate interview, the information is lost, but taken into
                    559:   account using an interpolation or extrapolation.  
                    560: 
                    561:   hPijx is the probability to be observed in state i at age x+h
                    562:   conditional to the observed state i at age x. The delay 'h' can be
                    563:   split into an exact number (nh*stepm) of unobserved intermediate
                    564:   states. This elementary transition (by month, quarter,
                    565:   semester or year) is modelled as a multinomial logistic.  The hPx
                    566:   matrix is simply the matrix product of nh*stepm elementary matrices
                    567:   and the contribution of each individual to the likelihood is simply
                    568:   hPijx.
                    569: 
                    570:   Also this programme outputs the covariance matrix of the parameters but also
                    571:   of the life expectancies. It also computes the period (stable) prevalence. 
                    572:   
1.133     brouard   573:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                    574:            Institut national d'études démographiques, Paris.
1.126     brouard   575:   This software have been partly granted by Euro-REVES, a concerted action
                    576:   from the European Union.
                    577:   It is copyrighted identically to a GNU software product, ie programme and
                    578:   software can be distributed freely for non commercial use. Latest version
                    579:   can be accessed at http://euroreves.ined.fr/imach .
                    580: 
                    581:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                    582:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                    583:   
                    584:   **********************************************************************/
                    585: /*
                    586:   main
                    587:   read parameterfile
                    588:   read datafile
                    589:   concatwav
                    590:   freqsummary
                    591:   if (mle >= 1)
                    592:     mlikeli
                    593:   print results files
                    594:   if mle==1 
                    595:      computes hessian
                    596:   read end of parameter file: agemin, agemax, bage, fage, estepm
                    597:       begin-prev-date,...
                    598:   open gnuplot file
                    599:   open html file
1.145     brouard   600:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                    601:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                    602:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                    603:     freexexit2 possible for memory heap.
                    604: 
                    605:   h Pij x                         | pij_nom  ficrestpij
                    606:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                    607:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                    608:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                    609: 
                    610:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                    611:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                    612:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                    613:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                    614:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                    615: 
1.126     brouard   616:   forecasting if prevfcast==1 prevforecast call prevalence()
                    617:   health expectancies
                    618:   Variance-covariance of DFLE
                    619:   prevalence()
                    620:    movingaverage()
                    621:   varevsij() 
                    622:   if popbased==1 varevsij(,popbased)
                    623:   total life expectancies
                    624:   Variance of period (stable) prevalence
                    625:  end
                    626: */
                    627: 
1.187     brouard   628: /* #define DEBUG */
                    629: /* #define DEBUGBRENT */
1.165     brouard   630: #define POWELL /* Instead of NLOPT */
1.192     brouard   631: #define POWELLF1F3 /* Skip test */
1.186     brouard   632: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                    633: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.126     brouard   634: 
                    635: #include <math.h>
                    636: #include <stdio.h>
                    637: #include <stdlib.h>
                    638: #include <string.h>
1.159     brouard   639: 
                    640: #ifdef _WIN32
                    641: #include <io.h>
1.172     brouard   642: #include <windows.h>
                    643: #include <tchar.h>
1.159     brouard   644: #else
1.126     brouard   645: #include <unistd.h>
1.159     brouard   646: #endif
1.126     brouard   647: 
                    648: #include <limits.h>
                    649: #include <sys/types.h>
1.171     brouard   650: 
                    651: #if defined(__GNUC__)
                    652: #include <sys/utsname.h> /* Doesn't work on Windows */
                    653: #endif
                    654: 
1.126     brouard   655: #include <sys/stat.h>
                    656: #include <errno.h>
1.159     brouard   657: /* extern int errno; */
1.126     brouard   658: 
1.157     brouard   659: /* #ifdef LINUX */
                    660: /* #include <time.h> */
                    661: /* #include "timeval.h" */
                    662: /* #else */
                    663: /* #include <sys/time.h> */
                    664: /* #endif */
                    665: 
1.126     brouard   666: #include <time.h>
                    667: 
1.136     brouard   668: #ifdef GSL
                    669: #include <gsl/gsl_errno.h>
                    670: #include <gsl/gsl_multimin.h>
                    671: #endif
                    672: 
1.167     brouard   673: 
1.162     brouard   674: #ifdef NLOPT
                    675: #include <nlopt.h>
                    676: typedef struct {
                    677:   double (* function)(double [] );
                    678: } myfunc_data ;
                    679: #endif
                    680: 
1.126     brouard   681: /* #include <libintl.h> */
                    682: /* #define _(String) gettext (String) */
                    683: 
1.141     brouard   684: #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard   685: 
                    686: #define GNUPLOTPROGRAM "gnuplot"
                    687: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                    688: #define FILENAMELENGTH 132
                    689: 
                    690: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                    691: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                    692: 
1.144     brouard   693: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                    694: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard   695: 
                    696: #define NINTERVMAX 8
1.144     brouard   697: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                    698: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
                    699: #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
1.197     brouard   700: #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.126     brouard   701: #define MAXN 20000
1.144     brouard   702: #define YEARM 12. /**< Number of months per year */
1.126     brouard   703: #define AGESUP 130
                    704: #define AGEBASE 40
1.194     brouard   705: #define AGEOVERFLOW 1.e20
1.164     brouard   706: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard   707: #ifdef _WIN32
                    708: #define DIRSEPARATOR '\\'
                    709: #define CHARSEPARATOR "\\"
                    710: #define ODIRSEPARATOR '/'
                    711: #else
1.126     brouard   712: #define DIRSEPARATOR '/'
                    713: #define CHARSEPARATOR "/"
                    714: #define ODIRSEPARATOR '\\'
                    715: #endif
                    716: 
1.198   ! brouard   717: /* $Id: imach.c,v 1.197 2015/09/01 18:24:39 brouard Exp $ */
1.126     brouard   718: /* $State: Exp $ */
1.196     brouard   719: #include "version.h"
                    720: char version[]=__IMACH_VERSION__;
1.197     brouard   721: char copyright[]="September 2015,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015";
1.198   ! brouard   722: char fullversion[]="$Revision: 1.197 $ $Date: 2015/09/01 18:24:39 $"; 
1.126     brouard   723: char strstart[80];
                    724: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard   725: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard   726: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard   727: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                    728: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                    729: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
                    730: int cptcovs=0; /**< cptcovs number of simple covariates V2+V1 =2 */
                    731: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                    732: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                    733: int cptcoveff=0; /* Total number of covariates to vary for printing results */
                    734: int cptcov=0; /* Working variable */
1.126     brouard   735: int npar=NPARMAX;
                    736: int nlstate=2; /* Number of live states */
                    737: int ndeath=1; /* Number of dead states */
1.130     brouard   738: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.126     brouard   739: int popbased=0;
                    740: 
                    741: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard   742: int maxwav=0; /* Maxim number of waves */
                    743: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                    744: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                    745: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard   746:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard   747: int mle=1, weightopt=0;
1.126     brouard   748: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                    749: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                    750: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                    751:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard   752: int countcallfunc=0;  /* Count the number of calls to func */
1.130     brouard   753: double jmean=1; /* Mean space between 2 waves */
1.145     brouard   754: double **matprod2(); /* test */
1.126     brouard   755: double **oldm, **newm, **savm; /* Working pointers to matrices */
                    756: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.136     brouard   757: /*FILE *fic ; */ /* Used in readdata only */
                    758: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
1.126     brouard   759: FILE *ficlog, *ficrespow;
1.130     brouard   760: int globpr=0; /* Global variable for printing or not */
1.126     brouard   761: double fretone; /* Only one call to likelihood */
1.130     brouard   762: long ipmx=0; /* Number of contributions */
1.126     brouard   763: double sw; /* Sum of weights */
                    764: char filerespow[FILENAMELENGTH];
                    765: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                    766: FILE *ficresilk;
                    767: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                    768: FILE *ficresprobmorprev;
                    769: FILE *fichtm, *fichtmcov; /* Html File */
                    770: FILE *ficreseij;
                    771: char filerese[FILENAMELENGTH];
                    772: FILE *ficresstdeij;
                    773: char fileresstde[FILENAMELENGTH];
                    774: FILE *ficrescveij;
                    775: char filerescve[FILENAMELENGTH];
                    776: FILE  *ficresvij;
                    777: char fileresv[FILENAMELENGTH];
                    778: FILE  *ficresvpl;
                    779: char fileresvpl[FILENAMELENGTH];
                    780: char title[MAXLINE];
                    781: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
                    782: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                    783: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                    784: char command[FILENAMELENGTH];
                    785: int  outcmd=0;
                    786: 
                    787: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
                    788: 
                    789: char filelog[FILENAMELENGTH]; /* Log file */
                    790: char filerest[FILENAMELENGTH];
                    791: char fileregp[FILENAMELENGTH];
                    792: char popfile[FILENAMELENGTH];
                    793: 
                    794: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                    795: 
1.157     brouard   796: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                    797: /* struct timezone tzp; */
                    798: /* extern int gettimeofday(); */
                    799: struct tm tml, *gmtime(), *localtime();
                    800: 
                    801: extern time_t time();
                    802: 
                    803: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                    804: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                    805: struct tm tm;
                    806: 
1.126     brouard   807: char strcurr[80], strfor[80];
                    808: 
                    809: char *endptr;
                    810: long lval;
                    811: double dval;
                    812: 
                    813: #define NR_END 1
                    814: #define FREE_ARG char*
                    815: #define FTOL 1.0e-10
                    816: 
                    817: #define NRANSI 
                    818: #define ITMAX 200 
                    819: 
                    820: #define TOL 2.0e-4 
                    821: 
                    822: #define CGOLD 0.3819660 
                    823: #define ZEPS 1.0e-10 
                    824: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                    825: 
                    826: #define GOLD 1.618034 
                    827: #define GLIMIT 100.0 
                    828: #define TINY 1.0e-20 
                    829: 
                    830: static double maxarg1,maxarg2;
                    831: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                    832: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                    833:   
                    834: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                    835: #define rint(a) floor(a+0.5)
1.166     brouard   836: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard   837: #define mytinydouble 1.0e-16
1.166     brouard   838: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                    839: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                    840: /* static double dsqrarg; */
                    841: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard   842: static double sqrarg;
                    843: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                    844: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                    845: int agegomp= AGEGOMP;
                    846: 
                    847: int imx; 
                    848: int stepm=1;
                    849: /* Stepm, step in month: minimum step interpolation*/
                    850: 
                    851: int estepm;
                    852: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                    853: 
                    854: int m,nb;
                    855: long *num;
1.197     brouard   856: int firstpass=0, lastpass=4,*cod, *cens;
1.192     brouard   857: int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                    858:                   covariate for which somebody answered excluding 
                    859:                   undefined. Usually 2: 0 and 1. */
                    860: int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                    861:                             covariate for which somebody answered including 
                    862:                             undefined. Usually 3: -1, 0 and 1. */
1.126     brouard   863: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
                    864: double **pmmij, ***probs;
                    865: double *ageexmed,*agecens;
                    866: double dateintmean=0;
                    867: 
                    868: double *weight;
                    869: int **s; /* Status */
1.141     brouard   870: double *agedc;
1.145     brouard   871: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard   872:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard   873:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.141     brouard   874: double  idx; 
                    875: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.197     brouard   876: int *Tage;
1.145     brouard   877: int *Ndum; /** Freq of modality (tricode */
1.141     brouard   878: int **codtab; /**< codtab=imatrix(1,100,1,10); */
                    879: int **Tvard, *Tprod, cptcovprod, *Tvaraff;
1.126     brouard   880: double *lsurv, *lpop, *tpop;
                    881: 
1.143     brouard   882: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                    883: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard   884: 
                    885: /**************** split *************************/
                    886: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                    887: {
                    888:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                    889:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                    890:   */ 
                    891:   char *ss;                            /* pointer */
1.186     brouard   892:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard   893: 
                    894:   l1 = strlen(path );                  /* length of path */
                    895:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                    896:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                    897:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                    898:     strcpy( name, path );              /* we got the fullname name because no directory */
                    899:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                    900:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                    901:     /* get current working directory */
                    902:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard   903: #ifdef WIN32
                    904:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                    905: #else
                    906:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                    907: #endif
1.126     brouard   908:       return( GLOCK_ERROR_GETCWD );
                    909:     }
                    910:     /* got dirc from getcwd*/
                    911:     printf(" DIRC = %s \n",dirc);
                    912:   } else {                             /* strip direcotry from path */
                    913:     ss++;                              /* after this, the filename */
                    914:     l2 = strlen( ss );                 /* length of filename */
                    915:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                    916:     strcpy( name, ss );                /* save file name */
                    917:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard   918:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard   919:     printf(" DIRC2 = %s \n",dirc);
                    920:   }
                    921:   /* We add a separator at the end of dirc if not exists */
                    922:   l1 = strlen( dirc );                 /* length of directory */
                    923:   if( dirc[l1-1] != DIRSEPARATOR ){
                    924:     dirc[l1] =  DIRSEPARATOR;
                    925:     dirc[l1+1] = 0; 
                    926:     printf(" DIRC3 = %s \n",dirc);
                    927:   }
                    928:   ss = strrchr( name, '.' );           /* find last / */
                    929:   if (ss >0){
                    930:     ss++;
                    931:     strcpy(ext,ss);                    /* save extension */
                    932:     l1= strlen( name);
                    933:     l2= strlen(ss)+1;
                    934:     strncpy( finame, name, l1-l2);
                    935:     finame[l1-l2]= 0;
                    936:   }
                    937: 
                    938:   return( 0 );                         /* we're done */
                    939: }
                    940: 
                    941: 
                    942: /******************************************/
                    943: 
                    944: void replace_back_to_slash(char *s, char*t)
                    945: {
                    946:   int i;
                    947:   int lg=0;
                    948:   i=0;
                    949:   lg=strlen(t);
                    950:   for(i=0; i<= lg; i++) {
                    951:     (s[i] = t[i]);
                    952:     if (t[i]== '\\') s[i]='/';
                    953:   }
                    954: }
                    955: 
1.132     brouard   956: char *trimbb(char *out, char *in)
1.137     brouard   957: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard   958:   char *s;
                    959:   s=out;
                    960:   while (*in != '\0'){
1.137     brouard   961:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard   962:       in++;
                    963:     }
                    964:     *out++ = *in++;
                    965:   }
                    966:   *out='\0';
                    967:   return s;
                    968: }
                    969: 
1.187     brouard   970: /* char *substrchaine(char *out, char *in, char *chain) */
                    971: /* { */
                    972: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                    973: /*   char *s, *t; */
                    974: /*   t=in;s=out; */
                    975: /*   while ((*in != *chain) && (*in != '\0')){ */
                    976: /*     *out++ = *in++; */
                    977: /*   } */
                    978: 
                    979: /*   /\* *in matches *chain *\/ */
                    980: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                    981: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                    982: /*   } */
                    983: /*   in--; chain--; */
                    984: /*   while ( (*in != '\0')){ */
                    985: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                    986: /*     *out++ = *in++; */
                    987: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                    988: /*   } */
                    989: /*   *out='\0'; */
                    990: /*   out=s; */
                    991: /*   return out; */
                    992: /* } */
                    993: char *substrchaine(char *out, char *in, char *chain)
                    994: {
                    995:   /* Substract chain 'chain' from 'in', return and output 'out' */
                    996:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                    997: 
                    998:   char *strloc;
                    999: 
                   1000:   strcpy (out, in); 
                   1001:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                   1002:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                   1003:   if(strloc != NULL){ 
                   1004:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                   1005:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                   1006:     /* strcpy (strloc, strloc +strlen(chain));*/
                   1007:   }
                   1008:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                   1009:   return out;
                   1010: }
                   1011: 
                   1012: 
1.145     brouard  1013: char *cutl(char *blocc, char *alocc, char *in, char occ)
                   1014: {
1.187     brouard  1015:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard  1016:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.187     brouard  1017:      gives blocc="abcdef" and alocc="ghi2j".
1.145     brouard  1018:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                   1019:   */
1.160     brouard  1020:   char *s, *t;
1.145     brouard  1021:   t=in;s=in;
                   1022:   while ((*in != occ) && (*in != '\0')){
                   1023:     *alocc++ = *in++;
                   1024:   }
                   1025:   if( *in == occ){
                   1026:     *(alocc)='\0';
                   1027:     s=++in;
                   1028:   }
                   1029:  
                   1030:   if (s == t) {/* occ not found */
                   1031:     *(alocc-(in-s))='\0';
                   1032:     in=s;
                   1033:   }
                   1034:   while ( *in != '\0'){
                   1035:     *blocc++ = *in++;
                   1036:   }
                   1037: 
                   1038:   *blocc='\0';
                   1039:   return t;
                   1040: }
1.137     brouard  1041: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1042: {
1.187     brouard  1043:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1044:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1045:      gives blocc="abcdef2ghi" and alocc="j".
                   1046:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1047:   */
                   1048:   char *s, *t;
                   1049:   t=in;s=in;
                   1050:   while (*in != '\0'){
                   1051:     while( *in == occ){
                   1052:       *blocc++ = *in++;
                   1053:       s=in;
                   1054:     }
                   1055:     *blocc++ = *in++;
                   1056:   }
                   1057:   if (s == t) /* occ not found */
                   1058:     *(blocc-(in-s))='\0';
                   1059:   else
                   1060:     *(blocc-(in-s)-1)='\0';
                   1061:   in=s;
                   1062:   while ( *in != '\0'){
                   1063:     *alocc++ = *in++;
                   1064:   }
                   1065: 
                   1066:   *alocc='\0';
                   1067:   return s;
                   1068: }
                   1069: 
1.126     brouard  1070: int nbocc(char *s, char occ)
                   1071: {
                   1072:   int i,j=0;
                   1073:   int lg=20;
                   1074:   i=0;
                   1075:   lg=strlen(s);
                   1076:   for(i=0; i<= lg; i++) {
                   1077:   if  (s[i] == occ ) j++;
                   1078:   }
                   1079:   return j;
                   1080: }
                   1081: 
1.137     brouard  1082: /* void cutv(char *u,char *v, char*t, char occ) */
                   1083: /* { */
                   1084: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1085: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1086: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1087: /*   int i,lg,j,p=0; */
                   1088: /*   i=0; */
                   1089: /*   lg=strlen(t); */
                   1090: /*   for(j=0; j<=lg-1; j++) { */
                   1091: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1092: /*   } */
1.126     brouard  1093: 
1.137     brouard  1094: /*   for(j=0; j<p; j++) { */
                   1095: /*     (u[j] = t[j]); */
                   1096: /*   } */
                   1097: /*      u[p]='\0'; */
1.126     brouard  1098: 
1.137     brouard  1099: /*    for(j=0; j<= lg; j++) { */
                   1100: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1101: /*   } */
                   1102: /* } */
1.126     brouard  1103: 
1.160     brouard  1104: #ifdef _WIN32
                   1105: char * strsep(char **pp, const char *delim)
                   1106: {
                   1107:   char *p, *q;
                   1108:          
                   1109:   if ((p = *pp) == NULL)
                   1110:     return 0;
                   1111:   if ((q = strpbrk (p, delim)) != NULL)
                   1112:   {
                   1113:     *pp = q + 1;
                   1114:     *q = '\0';
                   1115:   }
                   1116:   else
                   1117:     *pp = 0;
                   1118:   return p;
                   1119: }
                   1120: #endif
                   1121: 
1.126     brouard  1122: /********************** nrerror ********************/
                   1123: 
                   1124: void nrerror(char error_text[])
                   1125: {
                   1126:   fprintf(stderr,"ERREUR ...\n");
                   1127:   fprintf(stderr,"%s\n",error_text);
                   1128:   exit(EXIT_FAILURE);
                   1129: }
                   1130: /*********************** vector *******************/
                   1131: double *vector(int nl, int nh)
                   1132: {
                   1133:   double *v;
                   1134:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1135:   if (!v) nrerror("allocation failure in vector");
                   1136:   return v-nl+NR_END;
                   1137: }
                   1138: 
                   1139: /************************ free vector ******************/
                   1140: void free_vector(double*v, int nl, int nh)
                   1141: {
                   1142:   free((FREE_ARG)(v+nl-NR_END));
                   1143: }
                   1144: 
                   1145: /************************ivector *******************************/
                   1146: int *ivector(long nl,long nh)
                   1147: {
                   1148:   int *v;
                   1149:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1150:   if (!v) nrerror("allocation failure in ivector");
                   1151:   return v-nl+NR_END;
                   1152: }
                   1153: 
                   1154: /******************free ivector **************************/
                   1155: void free_ivector(int *v, long nl, long nh)
                   1156: {
                   1157:   free((FREE_ARG)(v+nl-NR_END));
                   1158: }
                   1159: 
                   1160: /************************lvector *******************************/
                   1161: long *lvector(long nl,long nh)
                   1162: {
                   1163:   long *v;
                   1164:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1165:   if (!v) nrerror("allocation failure in ivector");
                   1166:   return v-nl+NR_END;
                   1167: }
                   1168: 
                   1169: /******************free lvector **************************/
                   1170: void free_lvector(long *v, long nl, long nh)
                   1171: {
                   1172:   free((FREE_ARG)(v+nl-NR_END));
                   1173: }
                   1174: 
                   1175: /******************* imatrix *******************************/
                   1176: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1177:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1178: { 
                   1179:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1180:   int **m; 
                   1181:   
                   1182:   /* allocate pointers to rows */ 
                   1183:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1184:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1185:   m += NR_END; 
                   1186:   m -= nrl; 
                   1187:   
                   1188:   
                   1189:   /* allocate rows and set pointers to them */ 
                   1190:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1191:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1192:   m[nrl] += NR_END; 
                   1193:   m[nrl] -= ncl; 
                   1194:   
                   1195:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1196:   
                   1197:   /* return pointer to array of pointers to rows */ 
                   1198:   return m; 
                   1199: } 
                   1200: 
                   1201: /****************** free_imatrix *************************/
                   1202: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1203:       int **m;
                   1204:       long nch,ncl,nrh,nrl; 
                   1205:      /* free an int matrix allocated by imatrix() */ 
                   1206: { 
                   1207:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1208:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1209: } 
                   1210: 
                   1211: /******************* matrix *******************************/
                   1212: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1213: {
                   1214:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1215:   double **m;
                   1216: 
                   1217:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1218:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1219:   m += NR_END;
                   1220:   m -= nrl;
                   1221: 
                   1222:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1223:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1224:   m[nrl] += NR_END;
                   1225:   m[nrl] -= ncl;
                   1226: 
                   1227:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1228:   return m;
1.145     brouard  1229:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1230: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1231: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1232:    */
                   1233: }
                   1234: 
                   1235: /*************************free matrix ************************/
                   1236: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1237: {
                   1238:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1239:   free((FREE_ARG)(m+nrl-NR_END));
                   1240: }
                   1241: 
                   1242: /******************* ma3x *******************************/
                   1243: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1244: {
                   1245:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1246:   double ***m;
                   1247: 
                   1248:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1249:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1250:   m += NR_END;
                   1251:   m -= nrl;
                   1252: 
                   1253:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1254:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1255:   m[nrl] += NR_END;
                   1256:   m[nrl] -= ncl;
                   1257: 
                   1258:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1259: 
                   1260:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1261:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1262:   m[nrl][ncl] += NR_END;
                   1263:   m[nrl][ncl] -= nll;
                   1264:   for (j=ncl+1; j<=nch; j++) 
                   1265:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1266:   
                   1267:   for (i=nrl+1; i<=nrh; i++) {
                   1268:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1269:     for (j=ncl+1; j<=nch; j++) 
                   1270:       m[i][j]=m[i][j-1]+nlay;
                   1271:   }
                   1272:   return m; 
                   1273:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1274:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1275:   */
                   1276: }
                   1277: 
                   1278: /*************************free ma3x ************************/
                   1279: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1280: {
                   1281:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1282:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1283:   free((FREE_ARG)(m+nrl-NR_END));
                   1284: }
                   1285: 
                   1286: /*************** function subdirf ***********/
                   1287: char *subdirf(char fileres[])
                   1288: {
                   1289:   /* Caution optionfilefiname is hidden */
                   1290:   strcpy(tmpout,optionfilefiname);
                   1291:   strcat(tmpout,"/"); /* Add to the right */
                   1292:   strcat(tmpout,fileres);
                   1293:   return tmpout;
                   1294: }
                   1295: 
                   1296: /*************** function subdirf2 ***********/
                   1297: char *subdirf2(char fileres[], char *preop)
                   1298: {
                   1299:   
                   1300:   /* Caution optionfilefiname is hidden */
                   1301:   strcpy(tmpout,optionfilefiname);
                   1302:   strcat(tmpout,"/");
                   1303:   strcat(tmpout,preop);
                   1304:   strcat(tmpout,fileres);
                   1305:   return tmpout;
                   1306: }
                   1307: 
                   1308: /*************** function subdirf3 ***********/
                   1309: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1310: {
                   1311:   
                   1312:   /* Caution optionfilefiname is hidden */
                   1313:   strcpy(tmpout,optionfilefiname);
                   1314:   strcat(tmpout,"/");
                   1315:   strcat(tmpout,preop);
                   1316:   strcat(tmpout,preop2);
                   1317:   strcat(tmpout,fileres);
                   1318:   return tmpout;
                   1319: }
                   1320: 
1.162     brouard  1321: char *asc_diff_time(long time_sec, char ascdiff[])
                   1322: {
                   1323:   long sec_left, days, hours, minutes;
                   1324:   days = (time_sec) / (60*60*24);
                   1325:   sec_left = (time_sec) % (60*60*24);
                   1326:   hours = (sec_left) / (60*60) ;
                   1327:   sec_left = (sec_left) %(60*60);
                   1328:   minutes = (sec_left) /60;
                   1329:   sec_left = (sec_left) % (60);
                   1330:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1331:   return ascdiff;
                   1332: }
                   1333: 
1.126     brouard  1334: /***************** f1dim *************************/
                   1335: extern int ncom; 
                   1336: extern double *pcom,*xicom;
                   1337: extern double (*nrfunc)(double []); 
                   1338:  
                   1339: double f1dim(double x) 
                   1340: { 
                   1341:   int j; 
                   1342:   double f;
                   1343:   double *xt; 
                   1344:  
                   1345:   xt=vector(1,ncom); 
                   1346:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   1347:   f=(*nrfunc)(xt); 
                   1348:   free_vector(xt,1,ncom); 
                   1349:   return f; 
                   1350: } 
                   1351: 
                   1352: /*****************brent *************************/
                   1353: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  1354: {
                   1355:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   1356:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   1357:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   1358:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   1359:    * returned function value. 
                   1360:   */
1.126     brouard  1361:   int iter; 
                   1362:   double a,b,d,etemp;
1.159     brouard  1363:   double fu=0,fv,fw,fx;
1.164     brouard  1364:   double ftemp=0.;
1.126     brouard  1365:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   1366:   double e=0.0; 
                   1367:  
                   1368:   a=(ax < cx ? ax : cx); 
                   1369:   b=(ax > cx ? ax : cx); 
                   1370:   x=w=v=bx; 
                   1371:   fw=fv=fx=(*f)(x); 
                   1372:   for (iter=1;iter<=ITMAX;iter++) { 
                   1373:     xm=0.5*(a+b); 
                   1374:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   1375:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   1376:     printf(".");fflush(stdout);
                   1377:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  1378: #ifdef DEBUGBRENT
1.126     brouard  1379:     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);
                   1380:     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);
                   1381:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   1382: #endif
                   1383:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   1384:       *xmin=x; 
                   1385:       return fx; 
                   1386:     } 
                   1387:     ftemp=fu;
                   1388:     if (fabs(e) > tol1) { 
                   1389:       r=(x-w)*(fx-fv); 
                   1390:       q=(x-v)*(fx-fw); 
                   1391:       p=(x-v)*q-(x-w)*r; 
                   1392:       q=2.0*(q-r); 
                   1393:       if (q > 0.0) p = -p; 
                   1394:       q=fabs(q); 
                   1395:       etemp=e; 
                   1396:       e=d; 
                   1397:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
                   1398:        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1399:       else { 
                   1400:        d=p/q; 
                   1401:        u=x+d; 
                   1402:        if (u-a < tol2 || b-u < tol2) 
                   1403:          d=SIGN(tol1,xm-x); 
                   1404:       } 
                   1405:     } else { 
                   1406:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1407:     } 
                   1408:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   1409:     fu=(*f)(u); 
                   1410:     if (fu <= fx) { 
                   1411:       if (u >= x) a=x; else b=x; 
                   1412:       SHFT(v,w,x,u) 
1.183     brouard  1413:       SHFT(fv,fw,fx,fu) 
                   1414:     } else { 
                   1415:       if (u < x) a=u; else b=u; 
                   1416:       if (fu <= fw || w == x) { 
                   1417:        v=w; 
                   1418:        w=u; 
                   1419:        fv=fw; 
                   1420:        fw=fu; 
                   1421:       } else if (fu <= fv || v == x || v == w) { 
                   1422:        v=u; 
                   1423:        fv=fu; 
                   1424:       } 
                   1425:     } 
1.126     brouard  1426:   } 
                   1427:   nrerror("Too many iterations in brent"); 
                   1428:   *xmin=x; 
                   1429:   return fx; 
                   1430: } 
                   1431: 
                   1432: /****************** mnbrak ***********************/
                   1433: 
                   1434: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   1435:            double (*func)(double)) 
1.183     brouard  1436: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   1437: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   1438: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   1439: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   1440:    */
1.126     brouard  1441:   double ulim,u,r,q, dum;
                   1442:   double fu; 
1.187     brouard  1443: 
                   1444:   double scale=10.;
                   1445:   int iterscale=0;
                   1446: 
                   1447:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   1448:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   1449: 
                   1450: 
                   1451:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   1452:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   1453:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   1454:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   1455:   /* } */
                   1456: 
1.126     brouard  1457:   if (*fb > *fa) { 
                   1458:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  1459:     SHFT(dum,*fb,*fa,dum) 
                   1460:   } 
1.126     brouard  1461:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   1462:   *fc=(*func)(*cx); 
1.183     brouard  1463: #ifdef DEBUG
                   1464:   printf("mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
                   1465:   fprintf(ficlog,"mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
                   1466: #endif
                   1467:   while (*fb > *fc) { /* Declining a,b,c with fa> fb > fc */
1.126     brouard  1468:     r=(*bx-*ax)*(*fb-*fc); 
                   1469:     q=(*bx-*cx)*(*fb-*fa); 
                   1470:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  1471:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   1472:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   1473:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  1474:       fu=(*func)(u); 
1.163     brouard  1475: #ifdef DEBUG
                   1476:       /* f(x)=A(x-u)**2+f(u) */
                   1477:       double A, fparabu; 
                   1478:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   1479:       fparabu= *fa - A*(*ax-u)*(*ax-u);
                   1480:       printf("mnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu);
                   1481:       fprintf(ficlog, "mnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu);
1.183     brouard  1482:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   1483:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   1484:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   1485:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  1486: #endif 
1.184     brouard  1487: #ifdef MNBRAKORIGINAL
1.183     brouard  1488: #else
1.191     brouard  1489: /*       if (fu > *fc) { */
                   1490: /* #ifdef DEBUG */
                   1491: /*       printf("mnbrak4  fu > fc \n"); */
                   1492: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
                   1493: /* #endif */
                   1494: /*     /\* 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 *\\/  *\/ */
                   1495: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
                   1496: /*     dum=u; /\* Shifting c and u *\/ */
                   1497: /*     u = *cx; */
                   1498: /*     *cx = dum; */
                   1499: /*     dum = fu; */
                   1500: /*     fu = *fc; */
                   1501: /*     *fc =dum; */
                   1502: /*       } else { /\* end *\/ */
                   1503: /* #ifdef DEBUG */
                   1504: /*       printf("mnbrak3  fu < fc \n"); */
                   1505: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
                   1506: /* #endif */
                   1507: /*     dum=u; /\* Shifting c and u *\/ */
                   1508: /*     u = *cx; */
                   1509: /*     *cx = dum; */
                   1510: /*     dum = fu; */
                   1511: /*     fu = *fc; */
                   1512: /*     *fc =dum; */
                   1513: /*       } */
1.183     brouard  1514: #ifdef DEBUG
1.191     brouard  1515:       printf("mnbrak34  fu < or >= fc \n");
                   1516:       fprintf(ficlog, "mnbrak34 fu < fc\n");
1.183     brouard  1517: #endif
1.191     brouard  1518:       dum=u; /* Shifting c and u */
                   1519:       u = *cx;
                   1520:       *cx = dum;
                   1521:       dum = fu;
                   1522:       fu = *fc;
                   1523:       *fc =dum;
1.183     brouard  1524: #endif
1.162     brouard  1525:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  1526: #ifdef DEBUG
                   1527:       printf("mnbrak2  u after c but before ulim\n");
                   1528:       fprintf(ficlog, "mnbrak2 u after c but before ulim\n");
                   1529: #endif
1.126     brouard  1530:       fu=(*func)(u); 
                   1531:       if (fu < *fc) { 
1.183     brouard  1532: #ifdef DEBUG
                   1533:       printf("mnbrak2  u after c but before ulim AND fu < fc\n");
                   1534:       fprintf(ficlog, "mnbrak2 u after c but before ulim AND fu <fc \n");
                   1535: #endif
1.126     brouard  1536:        SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
1.183     brouard  1537:        SHFT(*fb,*fc,fu,(*func)(u)) 
                   1538:       } 
1.162     brouard  1539:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  1540: #ifdef DEBUG
                   1541:       printf("mnbrak2  u outside ulim (verifying that ulim is beyond c)\n");
                   1542:       fprintf(ficlog, "mnbrak2 u outside ulim (verifying that ulim is beyond c)\n");
                   1543: #endif
1.126     brouard  1544:       u=ulim; 
                   1545:       fu=(*func)(u); 
1.183     brouard  1546:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   1547: #ifdef DEBUG
                   1548:       printf("mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
                   1549:       fprintf(ficlog, "mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
                   1550: #endif
1.126     brouard  1551:       u=(*cx)+GOLD*(*cx-*bx); 
                   1552:       fu=(*func)(u); 
1.183     brouard  1553:     } /* end tests */
1.126     brouard  1554:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  1555:     SHFT(*fa,*fb,*fc,fu) 
                   1556: #ifdef DEBUG
                   1557:       printf("mnbrak2 (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu);
                   1558:       fprintf(ficlog, "mnbrak2 (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu);
                   1559: #endif
                   1560:   } /* 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  1561: } 
                   1562: 
                   1563: /*************** linmin ************************/
1.162     brouard  1564: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   1565: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   1566: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   1567: the value of func at the returned location p . This is actually all accomplished by calling the
                   1568: routines mnbrak and brent .*/
1.126     brouard  1569: int ncom; 
                   1570: double *pcom,*xicom;
                   1571: double (*nrfunc)(double []); 
                   1572:  
                   1573: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
                   1574: { 
                   1575:   double brent(double ax, double bx, double cx, 
                   1576:               double (*f)(double), double tol, double *xmin); 
                   1577:   double f1dim(double x); 
                   1578:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   1579:              double *fc, double (*func)(double)); 
                   1580:   int j; 
                   1581:   double xx,xmin,bx,ax; 
                   1582:   double fx,fb,fa;
1.187     brouard  1583: 
                   1584:   double scale=10., axs, xxs, xxss; /* Scale added for infinity */
1.126     brouard  1585:  
                   1586:   ncom=n; 
                   1587:   pcom=vector(1,n); 
                   1588:   xicom=vector(1,n); 
                   1589:   nrfunc=func; 
                   1590:   for (j=1;j<=n;j++) { 
                   1591:     pcom[j]=p[j]; 
                   1592:     xicom[j]=xi[j]; 
                   1593:   } 
1.187     brouard  1594: 
1.192     brouard  1595:   /* axs=0.0; */
                   1596:   /* xxss=1; /\* 1 and using scale *\/ */
1.187     brouard  1597:   xxs=1;
1.192     brouard  1598:   /* do{ */
1.187     brouard  1599:     ax=0.;
                   1600:     xx= xxs;
                   1601:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   1602:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   1603:     /* 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))   */
                   1604:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   1605:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   1606:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   1607:     /* 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]]*/
1.192     brouard  1608:   /*   if (fx != fx){ */
                   1609:   /*   xxs=xxs/scale; /\* Trying a smaller xx, closer to initial ax=0 *\/ */
                   1610:   /*   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); */
                   1611:   /*   } */
                   1612:   /* }while(fx != fx); */
1.187     brouard  1613: 
1.191     brouard  1614: #ifdef DEBUGLINMIN
                   1615:   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);
                   1616: #endif
1.187     brouard  1617:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   1618:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   1619:   /* fmin = f(p[j] + xmin * xi[j]) */
                   1620:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   1621:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  1622: #ifdef DEBUG
                   1623:   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
                   1624:   fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
                   1625: #endif
1.191     brouard  1626: #ifdef DEBUGLINMIN
                   1627:   printf("linmin end ");
                   1628: #endif
1.126     brouard  1629:   for (j=1;j<=n;j++) { 
1.188     brouard  1630:     /* printf(" before xi[%d]=%12.8f", j,xi[j]); */
1.187     brouard  1631:     xi[j] *= xmin; /* xi rescaled by xmin: if xmin=-1.237 and xi=(1,0,...,0) xi=(-1.237,0,...,0) */
1.189     brouard  1632:     /* if(xxs <1.0) */
                   1633:     /*   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 ); */
1.187     brouard  1634:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  1635:   } 
1.189     brouard  1636:   /* printf("\n"); */
1.191     brouard  1637: #ifdef DEBUGLINMIN
                   1638:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
                   1639:   for (j=1;j<=n;j++) { 
                   1640:     printf(" xi[%d]= %12.7f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1641:     if(j % ncovmodel == 0)
                   1642:       printf("\n");
                   1643:   }
                   1644: #endif
1.126     brouard  1645:   free_vector(xicom,1,n); 
                   1646:   free_vector(pcom,1,n); 
                   1647: } 
                   1648: 
                   1649: 
                   1650: /*************** powell ************************/
1.162     brouard  1651: /*
                   1652: Minimization of a function func of n variables. Input consists of an initial starting point
                   1653: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
                   1654: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
                   1655: such that failure to decrease by more than this amount on one iteration signals doneness. On
                   1656: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   1657: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   1658:  */
1.126     brouard  1659: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   1660:            double (*func)(double [])) 
                   1661: { 
                   1662:   void linmin(double p[], double xi[], int n, double *fret, 
                   1663:              double (*func)(double [])); 
                   1664:   int i,ibig,j; 
                   1665:   double del,t,*pt,*ptt,*xit;
1.181     brouard  1666:   double directest;
1.126     brouard  1667:   double fp,fptt;
                   1668:   double *xits;
                   1669:   int niterf, itmp;
                   1670: 
                   1671:   pt=vector(1,n); 
                   1672:   ptt=vector(1,n); 
                   1673:   xit=vector(1,n); 
                   1674:   xits=vector(1,n); 
                   1675:   *fret=(*func)(p); 
                   1676:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.157     brouard  1677:     rcurr_time = time(NULL);  
1.126     brouard  1678:   for (*iter=1;;++(*iter)) { 
1.187     brouard  1679:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  1680:     ibig=0; 
                   1681:     del=0.0; 
1.157     brouard  1682:     rlast_time=rcurr_time;
                   1683:     /* (void) gettimeofday(&curr_time,&tzp); */
                   1684:     rcurr_time = time(NULL);  
                   1685:     curr_time = *localtime(&rcurr_time);
                   1686:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   1687:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   1688: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.192     brouard  1689:     for (i=1;i<=n;i++) {
1.126     brouard  1690:       printf(" %d %.12f",i, p[i]);
                   1691:       fprintf(ficlog," %d %.12lf",i, p[i]);
                   1692:       fprintf(ficrespow," %.12lf", p[i]);
                   1693:     }
                   1694:     printf("\n");
                   1695:     fprintf(ficlog,"\n");
                   1696:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   1697:     if(*iter <=3){
1.157     brouard  1698:       tml = *localtime(&rcurr_time);
                   1699:       strcpy(strcurr,asctime(&tml));
                   1700:       rforecast_time=rcurr_time; 
1.126     brouard  1701:       itmp = strlen(strcurr);
                   1702:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
                   1703:        strcurr[itmp-1]='\0';
1.162     brouard  1704:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  1705:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  1706:       for(niterf=10;niterf<=30;niterf+=10){
1.157     brouard  1707:        rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   1708:        forecast_time = *localtime(&rforecast_time);
                   1709:        strcpy(strfor,asctime(&forecast_time));
1.126     brouard  1710:        itmp = strlen(strfor);
                   1711:        if(strfor[itmp-1]=='\n')
                   1712:        strfor[itmp-1]='\0';
1.157     brouard  1713:        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);
                   1714:        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  1715:       }
                   1716:     }
1.187     brouard  1717:     for (i=1;i<=n;i++) { /* For each direction i */
                   1718:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  1719:       fptt=(*fret); 
                   1720: #ifdef DEBUG
1.164     brouard  1721:          printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   1722:          fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  1723: #endif
1.187     brouard  1724:          printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  1725:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.188     brouard  1726:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   1727:                                    /* Outputs are fret(new point p) p is updated and xit rescaled */
                   1728:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
                   1729:        /* because that direction will be replaced unless the gain del is small */
                   1730:        /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   1731:        /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   1732:        /* with the new direction. */
1.126     brouard  1733:        del=fabs(fptt-(*fret)); 
                   1734:        ibig=i; 
                   1735:       } 
                   1736: #ifdef DEBUG
                   1737:       printf("%d %.12e",i,(*fret));
                   1738:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   1739:       for (j=1;j<=n;j++) {
                   1740:        xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   1741:        printf(" x(%d)=%.12e",j,xit[j]);
                   1742:        fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
                   1743:       }
                   1744:       for(j=1;j<=n;j++) {
1.162     brouard  1745:        printf(" p(%d)=%.12e",j,p[j]);
                   1746:        fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  1747:       }
                   1748:       printf("\n");
                   1749:       fprintf(ficlog,"\n");
                   1750: #endif
1.187     brouard  1751:     } /* end loop on each direction i */
                   1752:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  1753:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  1754:     /* New value of last point Pn is not computed, P(n-1) */
1.182     brouard  1755:     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /* Did we reach enough precision? */
1.188     brouard  1756:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   1757:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   1758:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   1759:       /* decreased of more than 3.84  */
                   1760:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   1761:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   1762:       /* By adding 10 parameters more the gain should be 18.31 */
                   1763: 
                   1764:       /* Starting the program with initial values given by a former maximization will simply change */
                   1765:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   1766:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   1767:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  1768: #ifdef DEBUG
                   1769:       int k[2],l;
                   1770:       k[0]=1;
                   1771:       k[1]=-1;
                   1772:       printf("Max: %.12e",(*func)(p));
                   1773:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   1774:       for (j=1;j<=n;j++) {
                   1775:        printf(" %.12e",p[j]);
                   1776:        fprintf(ficlog," %.12e",p[j]);
                   1777:       }
                   1778:       printf("\n");
                   1779:       fprintf(ficlog,"\n");
                   1780:       for(l=0;l<=1;l++) {
                   1781:        for (j=1;j<=n;j++) {
                   1782:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   1783:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   1784:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   1785:        }
                   1786:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   1787:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   1788:       }
                   1789: #endif
                   1790: 
                   1791: 
                   1792:       free_vector(xit,1,n); 
                   1793:       free_vector(xits,1,n); 
                   1794:       free_vector(ptt,1,n); 
                   1795:       free_vector(pt,1,n); 
                   1796:       return; 
1.192     brouard  1797:     } /* enough precision */ 
1.126     brouard  1798:     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  1799:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  1800:       ptt[j]=2.0*p[j]-pt[j]; 
                   1801:       xit[j]=p[j]-pt[j]; 
                   1802:       pt[j]=p[j]; 
                   1803:     } 
1.181     brouard  1804:     fptt=(*func)(ptt); /* f_3 */
1.192     brouard  1805: #ifdef POWELLF1F3
                   1806: #else
1.161     brouard  1807:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.192     brouard  1808: #endif
1.162     brouard  1809:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  1810:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  1811:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   1812:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   1813:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.181     brouard  1814:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del */
1.161     brouard  1815:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.183     brouard  1816: #ifdef NRCORIGINAL
                   1817:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   1818: #else
                   1819:       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  1820:       t= t- del*SQR(fp-fptt);
1.183     brouard  1821: #endif
1.182     brouard  1822:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If del was big enough we change it for a new direction */
1.161     brouard  1823: #ifdef DEBUG
1.181     brouard  1824:       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);
                   1825:       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  1826:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   1827:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   1828:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   1829:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   1830:       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);
                   1831:       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);
                   1832: #endif
1.183     brouard  1833: #ifdef POWELLORIGINAL
                   1834:       if (t < 0.0) { /* Then we use it for new direction */
                   1835: #else
1.182     brouard  1836:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.192     brouard  1837:        printf("directest= %.12lf, t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt,del);
                   1838:         printf("f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   1839:         fprintf(ficlog,"directest= %.12lf, t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt, del);
                   1840:         fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   1841:       } 
1.181     brouard  1842:       if (directest < 0.0) { /* Then we use it for new direction */
                   1843: #endif
1.191     brouard  1844: #ifdef DEBUGLINMIN
                   1845:        printf("Before linmin in direction P%d-P0\n",n);
                   1846:        for (j=1;j<=n;j++) { 
                   1847:          printf("Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   1848:          if(j % ncovmodel == 0)
                   1849:            printf("\n");
                   1850:        }
                   1851: #endif
1.187     brouard  1852:        linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
1.191     brouard  1853: #ifdef DEBUGLINMIN
                   1854:        for (j=1;j<=n;j++) { 
                   1855:          printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   1856:          if(j % ncovmodel == 0)
                   1857:            printf("\n");
                   1858:        }
                   1859: #endif
1.126     brouard  1860:        for (j=1;j<=n;j++) { 
1.181     brouard  1861:          xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   1862:          xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
1.126     brouard  1863:        }
1.181     brouard  1864:        printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   1865:        fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
1.161     brouard  1866: 
1.126     brouard  1867: #ifdef DEBUG
1.164     brouard  1868:        printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   1869:        fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
1.126     brouard  1870:        for(j=1;j<=n;j++){
                   1871:          printf(" %.12e",xit[j]);
                   1872:          fprintf(ficlog," %.12e",xit[j]);
                   1873:        }
                   1874:        printf("\n");
                   1875:        fprintf(ficlog,"\n");
                   1876: #endif
1.192     brouard  1877:       } /* end of t or directest negative */
                   1878: #ifdef POWELLF1F3
                   1879: #else
1.162     brouard  1880:     } /* end if (fptt < fp)  */
1.192     brouard  1881: #endif
                   1882:   } /* loop iteration */ 
1.126     brouard  1883: } 
                   1884: 
                   1885: /**** Prevalence limit (stable or period prevalence)  ****************/
                   1886: 
                   1887: double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)
                   1888: {
                   1889:   /* Computes the prevalence limit in each live state at age x by left multiplying the unit
                   1890:      matrix by transitions matrix until convergence is reached */
1.169     brouard  1891:   
1.126     brouard  1892:   int i, ii,j,k;
                   1893:   double min, max, maxmin, maxmax,sumnew=0.;
1.145     brouard  1894:   /* double **matprod2(); */ /* test */
1.131     brouard  1895:   double **out, cov[NCOVMAX+1], **pmij();
1.126     brouard  1896:   double **newm;
                   1897:   double agefin, delaymax=50 ; /* Max number of years to converge */
1.169     brouard  1898:   
1.126     brouard  1899:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   1900:     for (j=1;j<=nlstate+ndeath;j++){
                   1901:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   1902:     }
1.169     brouard  1903:   
                   1904:   cov[1]=1.;
                   1905:   
                   1906:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.126     brouard  1907:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
                   1908:     newm=savm;
                   1909:     /* Covariates have to be included here again */
1.138     brouard  1910:     cov[2]=agefin;
1.187     brouard  1911:     if(nagesqr==1)
                   1912:       cov[3]= agefin*agefin;;
1.138     brouard  1913:     for (k=1; k<=cptcovn;k++) {
1.198   ! brouard  1914:       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])];
        !          1915:       /* 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])]); */
1.138     brouard  1916:     }
1.186     brouard  1917:     /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.198   ! brouard  1918:     for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2];
1.186     brouard  1919:     for (k=1; k<=cptcovprod;k++) /* Useless */
1.198   ! brouard  1920:       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])];
1.138     brouard  1921:     
                   1922:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   1923:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   1924:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  1925:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   1926:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.142     brouard  1927:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  1928:     
1.126     brouard  1929:     savm=oldm;
                   1930:     oldm=newm;
                   1931:     maxmax=0.;
                   1932:     for(j=1;j<=nlstate;j++){
                   1933:       min=1.;
                   1934:       max=0.;
                   1935:       for(i=1; i<=nlstate; i++) {
                   1936:        sumnew=0;
                   1937:        for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   1938:        prlim[i][j]= newm[i][j]/(1-sumnew);
1.145     brouard  1939:         /*printf(" prevalim i=%d, j=%d, prmlim[%d][%d]=%f, agefin=%d \n", i, j, i, j, prlim[i][j],(int)agefin);*/
1.126     brouard  1940:        max=FMAX(max,prlim[i][j]);
                   1941:        min=FMIN(min,prlim[i][j]);
                   1942:       }
                   1943:       maxmin=max-min;
                   1944:       maxmax=FMAX(maxmax,maxmin);
1.169     brouard  1945:     } /* j loop */
1.126     brouard  1946:     if(maxmax < ftolpl){
                   1947:       return prlim;
                   1948:     }
1.169     brouard  1949:   } /* age loop */
                   1950:   return prlim; /* should not reach here */
1.126     brouard  1951: }
                   1952: 
                   1953: /*************** transition probabilities ***************/ 
                   1954: 
                   1955: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   1956: {
1.138     brouard  1957:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   1958:      computes the probability to be observed in state j being in state i by appying the
                   1959:      model to the ncovmodel covariates (including constant and age).
                   1960:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   1961:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   1962:      ncth covariate in the global vector x is given by the formula:
                   1963:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   1964:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   1965:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   1966:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   1967:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   1968:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   1969:   */
                   1970:   double s1, lnpijopii;
1.126     brouard  1971:   /*double t34;*/
1.164     brouard  1972:   int i,j, nc, ii, jj;
1.126     brouard  1973: 
                   1974:     for(i=1; i<= nlstate; i++){
                   1975:       for(j=1; j<i;j++){
1.138     brouard  1976:        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   1977:          /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   1978:          lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   1979: /*      printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
1.126     brouard  1980:        }
1.138     brouard  1981:        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   1982: /*     printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
1.126     brouard  1983:       }
                   1984:       for(j=i+1; j<=nlstate+ndeath;j++){
1.138     brouard  1985:        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   1986:          /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   1987:          lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   1988: /*       printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
1.126     brouard  1989:        }
1.138     brouard  1990:        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
1.126     brouard  1991:       }
                   1992:     }
                   1993:     
                   1994:     for(i=1; i<= nlstate; i++){
                   1995:       s1=0;
1.131     brouard  1996:       for(j=1; j<i; j++){
1.138     brouard  1997:        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
1.131     brouard  1998:        /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   1999:       }
                   2000:       for(j=i+1; j<=nlstate+ndeath; j++){
1.138     brouard  2001:        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
1.131     brouard  2002:        /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2003:       }
1.138     brouard  2004:       /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
1.126     brouard  2005:       ps[i][i]=1./(s1+1.);
1.138     brouard  2006:       /* Computing other pijs */
1.126     brouard  2007:       for(j=1; j<i; j++)
                   2008:        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2009:       for(j=i+1; j<=nlstate+ndeath; j++)
                   2010:        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2011:       /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2012:     } /* end i */
                   2013:     
                   2014:     for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   2015:       for(jj=1; jj<= nlstate+ndeath; jj++){
                   2016:        ps[ii][jj]=0;
                   2017:        ps[ii][ii]=1;
                   2018:       }
                   2019:     }
                   2020:     
1.145     brouard  2021:     
                   2022:     /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   2023:     /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   2024:     /*         printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   2025:     /*   } */
                   2026:     /*   printf("\n "); */
                   2027:     /* } */
                   2028:     /* printf("\n ");printf("%lf ",cov[2]);*/
                   2029:     /*
1.126     brouard  2030:       for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   2031:       goto end;*/
                   2032:     return ps;
                   2033: }
                   2034: 
                   2035: /**************** Product of 2 matrices ******************/
                   2036: 
1.145     brouard  2037: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  2038: {
                   2039:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   2040:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   2041:   /* in, b, out are matrice of pointers which should have been initialized 
                   2042:      before: only the contents of out is modified. The function returns
                   2043:      a pointer to pointers identical to out */
1.145     brouard  2044:   int i, j, k;
1.126     brouard  2045:   for(i=nrl; i<= nrh; i++)
1.145     brouard  2046:     for(k=ncolol; k<=ncoloh; k++){
                   2047:       out[i][k]=0.;
                   2048:       for(j=ncl; j<=nch; j++)
                   2049:        out[i][k] +=in[i][j]*b[j][k];
                   2050:     }
1.126     brouard  2051:   return out;
                   2052: }
                   2053: 
                   2054: 
                   2055: /************* Higher Matrix Product ***************/
                   2056: 
                   2057: double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
                   2058: {
                   2059:   /* Computes the transition matrix starting at age 'age' over 
                   2060:      'nhstepm*hstepm*stepm' months (i.e. until
                   2061:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   2062:      nhstepm*hstepm matrices. 
                   2063:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   2064:      (typically every 2 years instead of every month which is too big 
                   2065:      for the memory).
                   2066:      Model is determined by parameters x and covariates have to be 
                   2067:      included manually here. 
                   2068: 
                   2069:      */
                   2070: 
                   2071:   int i, j, d, h, k;
1.131     brouard  2072:   double **out, cov[NCOVMAX+1];
1.126     brouard  2073:   double **newm;
1.187     brouard  2074:   double agexact;
1.126     brouard  2075: 
                   2076:   /* Hstepm could be zero and should return the unit matrix */
                   2077:   for (i=1;i<=nlstate+ndeath;i++)
                   2078:     for (j=1;j<=nlstate+ndeath;j++){
                   2079:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   2080:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   2081:     }
                   2082:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2083:   for(h=1; h <=nhstepm; h++){
                   2084:     for(d=1; d <=hstepm; d++){
                   2085:       newm=savm;
                   2086:       /* Covariates have to be included here again */
                   2087:       cov[1]=1.;
1.187     brouard  2088:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
                   2089:       cov[2]=agexact;
                   2090:       if(nagesqr==1)
                   2091:        cov[3]= agexact*agexact;
1.131     brouard  2092:       for (k=1; k<=cptcovn;k++) 
1.198   ! brouard  2093:        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])];
1.186     brouard  2094:       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
                   2095:        /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.198   ! brouard  2096:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2];
1.145     brouard  2097:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
1.198   ! brouard  2098:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]*nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])];
1.126     brouard  2099: 
                   2100: 
                   2101:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   2102:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
                   2103:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   2104:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2105:       savm=oldm;
                   2106:       oldm=newm;
                   2107:     }
                   2108:     for(i=1; i<=nlstate+ndeath; i++)
                   2109:       for(j=1;j<=nlstate+ndeath;j++) {
                   2110:        po[i][j][h]=newm[i][j];
1.128     brouard  2111:        /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  2112:       }
1.128     brouard  2113:     /*printf("h=%d ",h);*/
1.126     brouard  2114:   } /* end h */
1.128     brouard  2115: /*     printf("\n H=%d \n",h); */
1.126     brouard  2116:   return po;
                   2117: }
                   2118: 
1.162     brouard  2119: #ifdef NLOPT
                   2120:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   2121:   double fret;
                   2122:   double *xt;
                   2123:   int j;
                   2124:   myfunc_data *d2 = (myfunc_data *) pd;
                   2125: /* xt = (p1-1); */
                   2126:   xt=vector(1,n); 
                   2127:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   2128: 
                   2129:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   2130:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   2131:   printf("Function = %.12lf ",fret);
                   2132:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   2133:   printf("\n");
                   2134:  free_vector(xt,1,n);
                   2135:   return fret;
                   2136: }
                   2137: #endif
1.126     brouard  2138: 
                   2139: /*************** log-likelihood *************/
                   2140: double func( double *x)
                   2141: {
                   2142:   int i, ii, j, k, mi, d, kk;
1.131     brouard  2143:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  2144:   double **out;
                   2145:   double sw; /* Sum of weights */
                   2146:   double lli; /* Individual log likelihood */
                   2147:   int s1, s2;
                   2148:   double bbh, survp;
                   2149:   long ipmx;
1.187     brouard  2150:   double agexact;
1.126     brouard  2151:   /*extern weight */
                   2152:   /* We are differentiating ll according to initial status */
                   2153:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   2154:   /*for(i=1;i<imx;i++) 
                   2155:     printf(" %d\n",s[4][i]);
                   2156:   */
1.162     brouard  2157: 
                   2158:   ++countcallfunc;
                   2159: 
1.126     brouard  2160:   cov[1]=1.;
                   2161: 
                   2162:   for(k=1; k<=nlstate; k++) ll[k]=0.;
                   2163: 
                   2164:   if(mle==1){
                   2165:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.138     brouard  2166:       /* Computes the values of the ncovmodel covariates of the model
                   2167:         depending if the covariates are fixed or variying (age dependent) and stores them in cov[]
                   2168:         Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                   2169:         to be observed in j being in i according to the model.
                   2170:        */
1.145     brouard  2171:       for (k=1; k<=cptcovn;k++){ /* Simple and product covariates without age* products */
1.187     brouard  2172:          cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.145     brouard  2173:       }
1.137     brouard  2174:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
1.138     brouard  2175:         is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
1.137     brouard  2176:         has been calculated etc */
1.126     brouard  2177:       for(mi=1; mi<= wav[i]-1; mi++){
                   2178:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2179:          for (j=1;j<=nlstate+ndeath;j++){
                   2180:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2181:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2182:          }
                   2183:        for(d=0; d<dh[mi][i]; d++){
                   2184:          newm=savm;
1.187     brouard  2185:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2186:          cov[2]=agexact;
                   2187:          if(nagesqr==1)
                   2188:            cov[3]= agexact*agexact;
1.126     brouard  2189:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2190:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
1.126     brouard  2191:          }
                   2192:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2193:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2194:          savm=oldm;
                   2195:          oldm=newm;
                   2196:        } /* end mult */
                   2197:       
                   2198:        /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   2199:        /* But now since version 0.9 we anticipate for bias at large stepm.
                   2200:         * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   2201:         * (in months) between two waves is not a multiple of stepm, we rounded to 
                   2202:         * the nearest (and in case of equal distance, to the lowest) interval but now
                   2203:         * we keep into memory the bias bh[mi][i] and also the previous matrix product
                   2204:         * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                   2205:         * probability in order to take into account the bias as a fraction of the way
                   2206:         * from savm to out if bh is negative or even beyond if bh is positive. bh varies
                   2207:         * -stepm/2 to stepm/2 .
                   2208:         * For stepm=1 the results are the same as for previous versions of Imach.
                   2209:         * For stepm > 1 the results are less biased than in previous versions. 
                   2210:         */
                   2211:        s1=s[mw[mi][i]][i];
                   2212:        s2=s[mw[mi+1][i]][i];
                   2213:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2214:        /* bias bh is positive if real duration
                   2215:         * is higher than the multiple of stepm and negative otherwise.
                   2216:         */
                   2217:        /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
                   2218:        if( s2 > nlstate){ 
                   2219:          /* i.e. if s2 is a death state and if the date of death is known 
                   2220:             then the contribution to the likelihood is the probability to 
                   2221:             die between last step unit time and current  step unit time, 
                   2222:             which is also equal to probability to die before dh 
                   2223:             minus probability to die before dh-stepm . 
                   2224:             In version up to 0.92 likelihood was computed
                   2225:        as if date of death was unknown. Death was treated as any other
                   2226:        health state: the date of the interview describes the actual state
                   2227:        and not the date of a change in health state. The former idea was
                   2228:        to consider that at each interview the state was recorded
                   2229:        (healthy, disable or death) and IMaCh was corrected; but when we
                   2230:        introduced the exact date of death then we should have modified
                   2231:        the contribution of an exact death to the likelihood. This new
                   2232:        contribution is smaller and very dependent of the step unit
                   2233:        stepm. It is no more the probability to die between last interview
                   2234:        and month of death but the probability to survive from last
                   2235:        interview up to one month before death multiplied by the
                   2236:        probability to die within a month. Thanks to Chris
                   2237:        Jackson for correcting this bug.  Former versions increased
                   2238:        mortality artificially. The bad side is that we add another loop
                   2239:        which slows down the processing. The difference can be up to 10%
                   2240:        lower mortality.
                   2241:          */
1.183     brouard  2242:        /* If, at the beginning of the maximization mostly, the
                   2243:           cumulative probability or probability to be dead is
                   2244:           constant (ie = 1) over time d, the difference is equal to
                   2245:           0.  out[s1][3] = savm[s1][3]: probability, being at state
                   2246:           s1 at precedent wave, to be dead a month before current
                   2247:           wave is equal to probability, being at state s1 at
                   2248:           precedent wave, to be dead at mont of the current
                   2249:           wave. Then the observed probability (that this person died)
                   2250:           is null according to current estimated parameter. In fact,
                   2251:           it should be very low but not zero otherwise the log go to
                   2252:           infinity.
                   2253:        */
                   2254: /* #ifdef INFINITYORIGINAL */
                   2255: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   2256: /* #else */
                   2257: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   2258: /*         lli=log(mytinydouble); */
                   2259: /*       else */
                   2260: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   2261: /* #endif */
                   2262:            lli=log(out[s1][s2] - savm[s1][s2]);
1.126     brouard  2263: 
                   2264:        } else if  (s2==-2) {
                   2265:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   2266:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2267:          /*survp += out[s1][j]; */
                   2268:          lli= log(survp);
                   2269:        }
                   2270:        
                   2271:        else if  (s2==-4) { 
                   2272:          for (j=3,survp=0. ; j<=nlstate; j++)  
                   2273:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2274:          lli= log(survp); 
                   2275:        } 
                   2276: 
                   2277:        else if  (s2==-5) { 
                   2278:          for (j=1,survp=0. ; j<=2; j++)  
                   2279:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2280:          lli= log(survp); 
                   2281:        } 
                   2282:        
                   2283:        else{
                   2284:          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2285:          /*  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 */
                   2286:        } 
                   2287:        /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                   2288:        /*if(lli ==000.0)*/
                   2289:        /*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); */
                   2290:        ipmx +=1;
                   2291:        sw += weight[i];
                   2292:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.183     brouard  2293:        /* if (lli < log(mytinydouble)){ */
                   2294:        /*   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); */
                   2295:        /*   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]); */
                   2296:        /* } */
1.126     brouard  2297:       } /* end of wave */
                   2298:     } /* end of individual */
                   2299:   }  else if(mle==2){
                   2300:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2301:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2302:       for(mi=1; mi<= wav[i]-1; mi++){
                   2303:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2304:          for (j=1;j<=nlstate+ndeath;j++){
                   2305:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2306:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2307:          }
                   2308:        for(d=0; d<=dh[mi][i]; d++){
                   2309:          newm=savm;
1.187     brouard  2310:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2311:          cov[2]=agexact;
                   2312:          if(nagesqr==1)
                   2313:            cov[3]= agexact*agexact;
1.126     brouard  2314:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2315:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2316:          }
                   2317:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2318:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2319:          savm=oldm;
                   2320:          oldm=newm;
                   2321:        } /* end mult */
                   2322:       
                   2323:        s1=s[mw[mi][i]][i];
                   2324:        s2=s[mw[mi+1][i]][i];
                   2325:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2326:        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 */
                   2327:        ipmx +=1;
                   2328:        sw += weight[i];
                   2329:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2330:       } /* end of wave */
                   2331:     } /* end of individual */
                   2332:   }  else if(mle==3){  /* exponential inter-extrapolation */
                   2333:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2334:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2335:       for(mi=1; mi<= wav[i]-1; mi++){
                   2336:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2337:          for (j=1;j<=nlstate+ndeath;j++){
                   2338:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2339:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2340:          }
                   2341:        for(d=0; d<dh[mi][i]; d++){
                   2342:          newm=savm;
1.187     brouard  2343:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2344:          cov[2]=agexact;
                   2345:          if(nagesqr==1)
                   2346:            cov[3]= agexact*agexact;
1.126     brouard  2347:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2348:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2349:          }
                   2350:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2351:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2352:          savm=oldm;
                   2353:          oldm=newm;
                   2354:        } /* end mult */
                   2355:       
                   2356:        s1=s[mw[mi][i]][i];
                   2357:        s2=s[mw[mi+1][i]][i];
                   2358:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2359:        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 */
                   2360:        ipmx +=1;
                   2361:        sw += weight[i];
                   2362:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2363:       } /* end of wave */
                   2364:     } /* end of individual */
                   2365:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
                   2366:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2367:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2368:       for(mi=1; mi<= wav[i]-1; mi++){
                   2369:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2370:          for (j=1;j<=nlstate+ndeath;j++){
                   2371:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2372:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2373:          }
                   2374:        for(d=0; d<dh[mi][i]; d++){
                   2375:          newm=savm;
1.187     brouard  2376:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2377:          cov[2]=agexact;
                   2378:          if(nagesqr==1)
                   2379:            cov[3]= agexact*agexact;
1.126     brouard  2380:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2381:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2382:          }
                   2383:        
                   2384:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2385:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2386:          savm=oldm;
                   2387:          oldm=newm;
                   2388:        } /* end mult */
                   2389:       
                   2390:        s1=s[mw[mi][i]][i];
                   2391:        s2=s[mw[mi+1][i]][i];
                   2392:        if( s2 > nlstate){ 
                   2393:          lli=log(out[s1][s2] - savm[s1][s2]);
                   2394:        }else{
                   2395:          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   2396:        }
                   2397:        ipmx +=1;
                   2398:        sw += weight[i];
                   2399:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2400: /*     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]); */
                   2401:       } /* end of wave */
                   2402:     } /* end of individual */
                   2403:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
                   2404:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2405:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2406:       for(mi=1; mi<= wav[i]-1; mi++){
                   2407:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2408:          for (j=1;j<=nlstate+ndeath;j++){
                   2409:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2410:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2411:          }
                   2412:        for(d=0; d<dh[mi][i]; d++){
                   2413:          newm=savm;
1.187     brouard  2414:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2415:          cov[2]=agexact;
                   2416:          if(nagesqr==1)
                   2417:            cov[3]= agexact*agexact;
1.126     brouard  2418:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2419:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2420:          }
                   2421:        
                   2422:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2423:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2424:          savm=oldm;
                   2425:          oldm=newm;
                   2426:        } /* end mult */
                   2427:       
                   2428:        s1=s[mw[mi][i]][i];
                   2429:        s2=s[mw[mi+1][i]][i];
                   2430:        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   2431:        ipmx +=1;
                   2432:        sw += weight[i];
                   2433:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2434:        /*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]);*/
                   2435:       } /* end of wave */
                   2436:     } /* end of individual */
                   2437:   } /* End of if */
                   2438:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   2439:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   2440:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   2441:   return -l;
                   2442: }
                   2443: 
                   2444: /*************** log-likelihood *************/
                   2445: double funcone( double *x)
                   2446: {
                   2447:   /* Same as likeli but slower because of a lot of printf and if */
                   2448:   int i, ii, j, k, mi, d, kk;
1.131     brouard  2449:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  2450:   double **out;
                   2451:   double lli; /* Individual log likelihood */
                   2452:   double llt;
                   2453:   int s1, s2;
                   2454:   double bbh, survp;
1.187     brouard  2455:   double agexact;
1.126     brouard  2456:   /*extern weight */
                   2457:   /* We are differentiating ll according to initial status */
                   2458:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   2459:   /*for(i=1;i<imx;i++) 
                   2460:     printf(" %d\n",s[4][i]);
                   2461:   */
                   2462:   cov[1]=1.;
                   2463: 
                   2464:   for(k=1; k<=nlstate; k++) ll[k]=0.;
                   2465: 
                   2466:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2467:     for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2468:     for(mi=1; mi<= wav[i]-1; mi++){
                   2469:       for (ii=1;ii<=nlstate+ndeath;ii++)
                   2470:        for (j=1;j<=nlstate+ndeath;j++){
                   2471:          oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2472:          savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2473:        }
                   2474:       for(d=0; d<dh[mi][i]; d++){
                   2475:        newm=savm;
1.187     brouard  2476:        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2477:        cov[2]=agexact;
                   2478:        if(nagesqr==1)
                   2479:          cov[3]= agexact*agexact;
1.126     brouard  2480:        for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2481:          cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2482:        }
1.187     brouard  2483: 
1.145     brouard  2484:        /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
1.126     brouard  2485:        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2486:                     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
1.145     brouard  2487:        /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
                   2488:        /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
1.126     brouard  2489:        savm=oldm;
                   2490:        oldm=newm;
                   2491:       } /* end mult */
                   2492:       
                   2493:       s1=s[mw[mi][i]][i];
                   2494:       s2=s[mw[mi+1][i]][i];
                   2495:       bbh=(double)bh[mi][i]/(double)stepm; 
                   2496:       /* bias is positive if real duration
                   2497:        * is higher than the multiple of stepm and negative otherwise.
                   2498:        */
                   2499:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
                   2500:        lli=log(out[s1][s2] - savm[s1][s2]);
                   2501:       } else if  (s2==-2) {
                   2502:        for (j=1,survp=0. ; j<=nlstate; j++) 
                   2503:          survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2504:        lli= log(survp);
                   2505:       }else if (mle==1){
                   2506:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2507:       } else if(mle==2){
                   2508:        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 */
                   2509:       } else if(mle==3){  /* exponential inter-extrapolation */
                   2510:        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 */
                   2511:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
                   2512:        lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  2513:       } else{  /* mle=0 back to 1 */
                   2514:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2515:        /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  2516:       } /* End of if */
                   2517:       ipmx +=1;
                   2518:       sw += weight[i];
                   2519:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  2520:       /*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  2521:       if(globpr){
1.141     brouard  2522:        fprintf(ficresilk,"%9ld %6d %2d %2d %1d %1d %3d %11.6f %8.4f\
1.126     brouard  2523:  %11.6f %11.6f %11.6f ", \
                   2524:                num[i],i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],
                   2525:                2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
                   2526:        for(k=1,llt=0.,l=0.; k<=nlstate; k++){
                   2527:          llt +=ll[k]*gipmx/gsw;
                   2528:          fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                   2529:        }
                   2530:        fprintf(ficresilk," %10.6f\n", -llt);
                   2531:       }
                   2532:     } /* end of wave */
                   2533:   } /* end of individual */
                   2534:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   2535:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   2536:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   2537:   if(globpr==0){ /* First time we count the contributions and weights */
                   2538:     gipmx=ipmx;
                   2539:     gsw=sw;
                   2540:   }
                   2541:   return -l;
                   2542: }
                   2543: 
                   2544: 
                   2545: /*************** function likelione ***********/
                   2546: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
                   2547: {
                   2548:   /* This routine should help understanding what is done with 
                   2549:      the selection of individuals/waves and
                   2550:      to check the exact contribution to the likelihood.
                   2551:      Plotting could be done.
                   2552:    */
                   2553:   int k;
                   2554: 
                   2555:   if(*globpri !=0){ /* Just counts and sums, no printings */
                   2556:     strcpy(fileresilk,"ilk"); 
                   2557:     strcat(fileresilk,fileres);
                   2558:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   2559:       printf("Problem with resultfile: %s\n", fileresilk);
                   2560:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   2561:     }
                   2562:     fprintf(ficresilk, "#individual(line's_record) s1 s2 wave# effective_wave# number_of_matrices_product pij weight -2ln(pij)*weight 0pij_x 0pij_(x-stepm) cumulating_loglikeli_by_health_state(reweighted=-2ll*weightXnumber_of_contribs/sum_of_weights) and_total\n");
                   2563:     fprintf(ficresilk, "#num_i i s1 s2 mi mw dh likeli weight 2wlli out sav ");
                   2564:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   2565:     for(k=1; k<=nlstate; k++) 
                   2566:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   2567:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   2568:   }
                   2569: 
                   2570:   *fretone=(*funcone)(p);
                   2571:   if(*globpri !=0){
                   2572:     fclose(ficresilk);
                   2573:     fprintf(fichtm,"\n<br>File of contributions to the likelihood: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));
                   2574:     fflush(fichtm); 
                   2575:   } 
                   2576:   return;
                   2577: }
                   2578: 
                   2579: 
                   2580: /*********** Maximum Likelihood Estimation ***************/
                   2581: 
                   2582: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   2583: {
1.165     brouard  2584:   int i,j, iter=0;
1.126     brouard  2585:   double **xi;
                   2586:   double fret;
                   2587:   double fretone; /* Only one call to likelihood */
                   2588:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  2589: 
                   2590: #ifdef NLOPT
                   2591:   int creturn;
                   2592:   nlopt_opt opt;
                   2593:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   2594:   double *lb;
                   2595:   double minf; /* the minimum objective value, upon return */
                   2596:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   2597:   myfunc_data dinst, *d = &dinst;
                   2598: #endif
                   2599: 
                   2600: 
1.126     brouard  2601:   xi=matrix(1,npar,1,npar);
                   2602:   for (i=1;i<=npar;i++)
                   2603:     for (j=1;j<=npar;j++)
                   2604:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   2605:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
                   2606:   strcpy(filerespow,"pow"); 
                   2607:   strcat(filerespow,fileres);
                   2608:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   2609:     printf("Problem with resultfile: %s\n", filerespow);
                   2610:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   2611:   }
                   2612:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   2613:   for (i=1;i<=nlstate;i++)
                   2614:     for(j=1;j<=nlstate+ndeath;j++)
                   2615:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   2616:   fprintf(ficrespow,"\n");
1.162     brouard  2617: #ifdef POWELL
1.126     brouard  2618:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.162     brouard  2619: #endif
1.126     brouard  2620: 
1.162     brouard  2621: #ifdef NLOPT
                   2622: #ifdef NEWUOA
                   2623:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   2624: #else
                   2625:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   2626: #endif
                   2627:   lb=vector(0,npar-1);
                   2628:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   2629:   nlopt_set_lower_bounds(opt, lb);
                   2630:   nlopt_set_initial_step1(opt, 0.1);
                   2631:   
                   2632:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   2633:   d->function = func;
                   2634:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   2635:   nlopt_set_min_objective(opt, myfunc, d);
                   2636:   nlopt_set_xtol_rel(opt, ftol);
                   2637:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   2638:     printf("nlopt failed! %d\n",creturn); 
                   2639:   }
                   2640:   else {
                   2641:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   2642:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   2643:     iter=1; /* not equal */
                   2644:   }
                   2645:   nlopt_destroy(opt);
                   2646: #endif
1.126     brouard  2647:   free_matrix(xi,1,npar,1,npar);
                   2648:   fclose(ficrespow);
1.180     brouard  2649:   printf("#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   2650:   fprintf(ficlog,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   2651:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  2652: 
                   2653: }
                   2654: 
                   2655: /**** Computes Hessian and covariance matrix ***/
                   2656: void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
                   2657: {
                   2658:   double  **a,**y,*x,pd;
                   2659:   double **hess;
1.164     brouard  2660:   int i, j;
1.126     brouard  2661:   int *indx;
                   2662: 
                   2663:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
                   2664:   double hessij(double p[], double delti[], int i, int j,double (*func)(double []),int npar);
                   2665:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   2666:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   2667:   double gompertz(double p[]);
                   2668:   hess=matrix(1,npar,1,npar);
                   2669: 
                   2670:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   2671:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   2672:   for (i=1;i<=npar;i++){
                   2673:     printf("%d",i);fflush(stdout);
                   2674:     fprintf(ficlog,"%d",i);fflush(ficlog);
                   2675:    
                   2676:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   2677:     
                   2678:     /*  printf(" %f ",p[i]);
                   2679:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   2680:   }
                   2681:   
                   2682:   for (i=1;i<=npar;i++) {
                   2683:     for (j=1;j<=npar;j++)  {
                   2684:       if (j>i) { 
                   2685:        printf(".%d%d",i,j);fflush(stdout);
                   2686:        fprintf(ficlog,".%d%d",i,j);fflush(ficlog);
                   2687:        hess[i][j]=hessij(p,delti,i,j,func,npar);
                   2688:        
                   2689:        hess[j][i]=hess[i][j];    
                   2690:        /*printf(" %lf ",hess[i][j]);*/
                   2691:       }
                   2692:     }
                   2693:   }
                   2694:   printf("\n");
                   2695:   fprintf(ficlog,"\n");
                   2696: 
                   2697:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   2698:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   2699:   
                   2700:   a=matrix(1,npar,1,npar);
                   2701:   y=matrix(1,npar,1,npar);
                   2702:   x=vector(1,npar);
                   2703:   indx=ivector(1,npar);
                   2704:   for (i=1;i<=npar;i++)
                   2705:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   2706:   ludcmp(a,npar,indx,&pd);
                   2707: 
                   2708:   for (j=1;j<=npar;j++) {
                   2709:     for (i=1;i<=npar;i++) x[i]=0;
                   2710:     x[j]=1;
                   2711:     lubksb(a,npar,indx,x);
                   2712:     for (i=1;i<=npar;i++){ 
                   2713:       matcov[i][j]=x[i];
                   2714:     }
                   2715:   }
                   2716: 
                   2717:   printf("\n#Hessian matrix#\n");
                   2718:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   2719:   for (i=1;i<=npar;i++) { 
                   2720:     for (j=1;j<=npar;j++) { 
                   2721:       printf("%.3e ",hess[i][j]);
                   2722:       fprintf(ficlog,"%.3e ",hess[i][j]);
                   2723:     }
                   2724:     printf("\n");
                   2725:     fprintf(ficlog,"\n");
                   2726:   }
                   2727: 
                   2728:   /* Recompute Inverse */
                   2729:   for (i=1;i<=npar;i++)
                   2730:     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];
                   2731:   ludcmp(a,npar,indx,&pd);
                   2732: 
                   2733:   /*  printf("\n#Hessian matrix recomputed#\n");
                   2734: 
                   2735:   for (j=1;j<=npar;j++) {
                   2736:     for (i=1;i<=npar;i++) x[i]=0;
                   2737:     x[j]=1;
                   2738:     lubksb(a,npar,indx,x);
                   2739:     for (i=1;i<=npar;i++){ 
                   2740:       y[i][j]=x[i];
                   2741:       printf("%.3e ",y[i][j]);
                   2742:       fprintf(ficlog,"%.3e ",y[i][j]);
                   2743:     }
                   2744:     printf("\n");
                   2745:     fprintf(ficlog,"\n");
                   2746:   }
                   2747:   */
                   2748: 
                   2749:   free_matrix(a,1,npar,1,npar);
                   2750:   free_matrix(y,1,npar,1,npar);
                   2751:   free_vector(x,1,npar);
                   2752:   free_ivector(indx,1,npar);
                   2753:   free_matrix(hess,1,npar,1,npar);
                   2754: 
                   2755: 
                   2756: }
                   2757: 
                   2758: /*************** hessian matrix ****************/
                   2759: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
                   2760: {
                   2761:   int i;
                   2762:   int l=1, lmax=20;
                   2763:   double k1,k2;
1.132     brouard  2764:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  2765:   double res;
                   2766:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   2767:   double fx;
                   2768:   int k=0,kmax=10;
                   2769:   double l1;
                   2770: 
                   2771:   fx=func(x);
                   2772:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  2773:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  2774:     l1=pow(10,l);
                   2775:     delts=delt;
                   2776:     for(k=1 ; k <kmax; k=k+1){
                   2777:       delt = delta*(l1*k);
                   2778:       p2[theta]=x[theta] +delt;
1.145     brouard  2779:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  2780:       p2[theta]=x[theta]-delt;
                   2781:       k2=func(p2)-fx;
                   2782:       /*res= (k1-2.0*fx+k2)/delt/delt; */
                   2783:       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */
                   2784:       
1.132     brouard  2785: #ifdef DEBUGHESS
1.126     brouard  2786:       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);
                   2787:       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);
                   2788: #endif
                   2789:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   2790:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   2791:        k=kmax;
                   2792:       }
                   2793:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  2794:        k=kmax; l=lmax*10;
1.126     brouard  2795:       }
                   2796:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   2797:        delts=delt;
                   2798:       }
                   2799:     }
                   2800:   }
                   2801:   delti[theta]=delts;
                   2802:   return res; 
                   2803:   
                   2804: }
                   2805: 
                   2806: double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
                   2807: {
                   2808:   int i;
1.164     brouard  2809:   int l=1, lmax=20;
1.126     brouard  2810:   double k1,k2,k3,k4,res,fx;
1.132     brouard  2811:   double p2[MAXPARM+1];
1.126     brouard  2812:   int k;
                   2813: 
                   2814:   fx=func(x);
                   2815:   for (k=1; k<=2; k++) {
                   2816:     for (i=1;i<=npar;i++) p2[i]=x[i];
                   2817:     p2[thetai]=x[thetai]+delti[thetai]/k;
                   2818:     p2[thetaj]=x[thetaj]+delti[thetaj]/k;
                   2819:     k1=func(p2)-fx;
                   2820:   
                   2821:     p2[thetai]=x[thetai]+delti[thetai]/k;
                   2822:     p2[thetaj]=x[thetaj]-delti[thetaj]/k;
                   2823:     k2=func(p2)-fx;
                   2824:   
                   2825:     p2[thetai]=x[thetai]-delti[thetai]/k;
                   2826:     p2[thetaj]=x[thetaj]+delti[thetaj]/k;
                   2827:     k3=func(p2)-fx;
                   2828:   
                   2829:     p2[thetai]=x[thetai]-delti[thetai]/k;
                   2830:     p2[thetaj]=x[thetaj]-delti[thetaj]/k;
                   2831:     k4=func(p2)-fx;
                   2832:     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */
                   2833: #ifdef DEBUG
                   2834:     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);
                   2835:     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);
                   2836: #endif
                   2837:   }
                   2838:   return res;
                   2839: }
                   2840: 
                   2841: /************** Inverse of matrix **************/
                   2842: void ludcmp(double **a, int n, int *indx, double *d) 
                   2843: { 
                   2844:   int i,imax,j,k; 
                   2845:   double big,dum,sum,temp; 
                   2846:   double *vv; 
                   2847:  
                   2848:   vv=vector(1,n); 
                   2849:   *d=1.0; 
                   2850:   for (i=1;i<=n;i++) { 
                   2851:     big=0.0; 
                   2852:     for (j=1;j<=n;j++) 
                   2853:       if ((temp=fabs(a[i][j])) > big) big=temp; 
                   2854:     if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
                   2855:     vv[i]=1.0/big; 
                   2856:   } 
                   2857:   for (j=1;j<=n;j++) { 
                   2858:     for (i=1;i<j;i++) { 
                   2859:       sum=a[i][j]; 
                   2860:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   2861:       a[i][j]=sum; 
                   2862:     } 
                   2863:     big=0.0; 
                   2864:     for (i=j;i<=n;i++) { 
                   2865:       sum=a[i][j]; 
                   2866:       for (k=1;k<j;k++) 
                   2867:        sum -= a[i][k]*a[k][j]; 
                   2868:       a[i][j]=sum; 
                   2869:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   2870:        big=dum; 
                   2871:        imax=i; 
                   2872:       } 
                   2873:     } 
                   2874:     if (j != imax) { 
                   2875:       for (k=1;k<=n;k++) { 
                   2876:        dum=a[imax][k]; 
                   2877:        a[imax][k]=a[j][k]; 
                   2878:        a[j][k]=dum; 
                   2879:       } 
                   2880:       *d = -(*d); 
                   2881:       vv[imax]=vv[j]; 
                   2882:     } 
                   2883:     indx[j]=imax; 
                   2884:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   2885:     if (j != n) { 
                   2886:       dum=1.0/(a[j][j]); 
                   2887:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   2888:     } 
                   2889:   } 
                   2890:   free_vector(vv,1,n);  /* Doesn't work */
                   2891: ;
                   2892: } 
                   2893: 
                   2894: void lubksb(double **a, int n, int *indx, double b[]) 
                   2895: { 
                   2896:   int i,ii=0,ip,j; 
                   2897:   double sum; 
                   2898:  
                   2899:   for (i=1;i<=n;i++) { 
                   2900:     ip=indx[i]; 
                   2901:     sum=b[ip]; 
                   2902:     b[ip]=b[i]; 
                   2903:     if (ii) 
                   2904:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   2905:     else if (sum) ii=i; 
                   2906:     b[i]=sum; 
                   2907:   } 
                   2908:   for (i=n;i>=1;i--) { 
                   2909:     sum=b[i]; 
                   2910:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   2911:     b[i]=sum/a[i][i]; 
                   2912:   } 
                   2913: } 
                   2914: 
                   2915: void pstamp(FILE *fichier)
                   2916: {
1.196     brouard  2917:   fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
1.126     brouard  2918: }
                   2919: 
                   2920: /************ Frequencies ********************/
                   2921: void  freqsummary(char fileres[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, int *Tvaraff, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[])
                   2922: {  /* Some frequencies */
                   2923:   
1.164     brouard  2924:   int i, m, jk, j1, bool, z1,j;
1.126     brouard  2925:   int first;
                   2926:   double ***freq; /* Frequencies */
                   2927:   double *pp, **prop;
                   2928:   double pos,posprop, k2, dateintsum=0,k2cpt=0;
                   2929:   char fileresp[FILENAMELENGTH];
                   2930:   
                   2931:   pp=vector(1,nlstate);
                   2932:   prop=matrix(1,nlstate,iagemin,iagemax+3);
                   2933:   strcpy(fileresp,"p");
                   2934:   strcat(fileresp,fileres);
                   2935:   if((ficresp=fopen(fileresp,"w"))==NULL) {
                   2936:     printf("Problem with prevalence resultfile: %s\n", fileresp);
                   2937:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
                   2938:     exit(0);
                   2939:   }
                   2940:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin,iagemax+3);
                   2941:   j1=0;
                   2942:   
                   2943:   j=cptcoveff;
                   2944:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
                   2945: 
                   2946:   first=1;
                   2947: 
1.169     brouard  2948:   /* for(k1=1; k1<=j ; k1++){ */  /* Loop on covariates */
                   2949:   /*  for(i1=1; i1<=ncodemax[k1];i1++){ */ /* Now it is 2 */
                   2950:   /*    j1++; */
1.145     brouard  2951:   for (j1 = 1; j1 <= (int) pow(2,cptcoveff); j1++){
1.126     brouard  2952:       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
                   2953:        scanf("%d", i);*/
                   2954:       for (i=-5; i<=nlstate+ndeath; i++)  
                   2955:        for (jk=-5; jk<=nlstate+ndeath; jk++)  
                   2956:          for(m=iagemin; m <= iagemax+3; m++)
                   2957:            freq[i][jk][m]=0;
1.143     brouard  2958:       
                   2959:       for (i=1; i<=nlstate; i++)  
                   2960:        for(m=iagemin; m <= iagemax+3; m++)
                   2961:          prop[i][m]=0;
1.126     brouard  2962:       
                   2963:       dateintsum=0;
                   2964:       k2cpt=0;
                   2965:       for (i=1; i<=imx; i++) {
                   2966:        bool=1;
1.144     brouard  2967:        if  (cptcovn>0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
                   2968:          for (z1=1; z1<=cptcoveff; z1++)       
1.198   ! brouard  2969:             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){
1.145     brouard  2970:                 /* Tests if the value of each of the covariates of i is equal to filter j1 */
1.144     brouard  2971:               bool=0;
1.198   ! brouard  2972:               /* 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", 
        !          2973:                 bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
        !          2974:                 j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
        !          2975:               /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
1.144     brouard  2976:             } 
1.126     brouard  2977:        }
1.144     brouard  2978:  
1.126     brouard  2979:        if (bool==1){
                   2980:          for(m=firstpass; m<=lastpass; m++){
                   2981:            k2=anint[m][i]+(mint[m][i]/12.);
                   2982:            /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   2983:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   2984:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
                   2985:              if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
                   2986:              if (m<lastpass) {
                   2987:                freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
                   2988:                freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];
                   2989:              }
                   2990:              
                   2991:              if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {
                   2992:                dateintsum=dateintsum+k2;
                   2993:                k2cpt++;
                   2994:              }
                   2995:              /*}*/
                   2996:          }
                   2997:        }
1.145     brouard  2998:       } /* end i */
1.126     brouard  2999:        
                   3000:       /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
                   3001:       pstamp(ficresp);
                   3002:       if  (cptcovn>0) {
                   3003:        fprintf(ficresp, "\n#********** Variable "); 
1.198   ! brouard  3004:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  3005:        fprintf(ficresp, "**********\n#");
1.143     brouard  3006:        fprintf(ficlog, "\n#********** Variable "); 
1.198   ! brouard  3007:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.143     brouard  3008:        fprintf(ficlog, "**********\n#");
1.126     brouard  3009:       }
                   3010:       for(i=1; i<=nlstate;i++) 
                   3011:        fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
                   3012:       fprintf(ficresp, "\n");
                   3013:       
                   3014:       for(i=iagemin; i <= iagemax+3; i++){
                   3015:        if(i==iagemax+3){
                   3016:          fprintf(ficlog,"Total");
                   3017:        }else{
                   3018:          if(first==1){
                   3019:            first=0;
                   3020:            printf("See log file for details...\n");
                   3021:          }
                   3022:          fprintf(ficlog,"Age %d", i);
                   3023:        }
                   3024:        for(jk=1; jk <=nlstate ; jk++){
                   3025:          for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
                   3026:            pp[jk] += freq[jk][m][i]; 
                   3027:        }
                   3028:        for(jk=1; jk <=nlstate ; jk++){
                   3029:          for(m=-1, pos=0; m <=0 ; m++)
                   3030:            pos += freq[jk][m][i];
                   3031:          if(pp[jk]>=1.e-10){
                   3032:            if(first==1){
1.132     brouard  3033:              printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
1.126     brouard  3034:            }
                   3035:            fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
                   3036:          }else{
                   3037:            if(first==1)
                   3038:              printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   3039:            fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   3040:          }
                   3041:        }
                   3042: 
                   3043:        for(jk=1; jk <=nlstate ; jk++){
                   3044:          for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
                   3045:            pp[jk] += freq[jk][m][i];
                   3046:        }       
                   3047:        for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
                   3048:          pos += pp[jk];
                   3049:          posprop += prop[jk][i];
                   3050:        }
                   3051:        for(jk=1; jk <=nlstate ; jk++){
                   3052:          if(pos>=1.e-5){
                   3053:            if(first==1)
                   3054:              printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   3055:            fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   3056:          }else{
                   3057:            if(first==1)
                   3058:              printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   3059:            fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   3060:          }
                   3061:          if( i <= iagemax){
                   3062:            if(pos>=1.e-5){
                   3063:              fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
                   3064:              /*probs[i][jk][j1]= pp[jk]/pos;*/
                   3065:              /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
                   3066:            }
                   3067:            else
                   3068:              fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
                   3069:          }
                   3070:        }
                   3071:        
                   3072:        for(jk=-1; jk <=nlstate+ndeath; jk++)
                   3073:          for(m=-1; m <=nlstate+ndeath; m++)
                   3074:            if(freq[jk][m][i] !=0 ) {
                   3075:            if(first==1)
                   3076:              printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
                   3077:              fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
                   3078:            }
                   3079:        if(i <= iagemax)
                   3080:          fprintf(ficresp,"\n");
                   3081:        if(first==1)
                   3082:          printf("Others in log...\n");
                   3083:        fprintf(ficlog,"\n");
                   3084:       }
1.145     brouard  3085:       /*}*/
1.126     brouard  3086:   }
                   3087:   dateintmean=dateintsum/k2cpt; 
                   3088:  
                   3089:   fclose(ficresp);
                   3090:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin, iagemax+3);
                   3091:   free_vector(pp,1,nlstate);
                   3092:   free_matrix(prop,1,nlstate,iagemin, iagemax+3);
                   3093:   /* End of Freq */
                   3094: }
                   3095: 
                   3096: /************ Prevalence ********************/
                   3097: 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)
                   3098: {  
                   3099:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   3100:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   3101:      We still use firstpass and lastpass as another selection.
                   3102:   */
                   3103:  
1.164     brouard  3104:   int i, m, jk, j1, bool, z1,j;
                   3105: 
                   3106:   double **prop;
                   3107:   double posprop; 
1.126     brouard  3108:   double  y2; /* in fractional years */
                   3109:   int iagemin, iagemax;
1.145     brouard  3110:   int first; /** to stop verbosity which is redirected to log file */
1.126     brouard  3111: 
                   3112:   iagemin= (int) agemin;
                   3113:   iagemax= (int) agemax;
                   3114:   /*pp=vector(1,nlstate);*/
                   3115:   prop=matrix(1,nlstate,iagemin,iagemax+3); 
                   3116:   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   3117:   j1=0;
                   3118:   
1.145     brouard  3119:   /*j=cptcoveff;*/
1.126     brouard  3120:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
                   3121:   
1.145     brouard  3122:   first=1;
                   3123:   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){
                   3124:     /*for(i1=1; i1<=ncodemax[k1];i1++){
                   3125:       j1++;*/
1.126     brouard  3126:       
                   3127:       for (i=1; i<=nlstate; i++)  
                   3128:        for(m=iagemin; m <= iagemax+3; m++)
                   3129:          prop[i][m]=0.0;
                   3130:      
                   3131:       for (i=1; i<=imx; i++) { /* Each individual */
                   3132:        bool=1;
                   3133:        if  (cptcovn>0) {
                   3134:          for (z1=1; z1<=cptcoveff; z1++) 
1.198   ! brouard  3135:            if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) 
1.126     brouard  3136:              bool=0;
                   3137:        } 
                   3138:        if (bool==1) { 
                   3139:          for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
                   3140:            y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                   3141:            if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                   3142:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   3143:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
                   3144:              if((int)agev[m][i] <iagemin || (int)agev[m][i] >iagemax+3) printf("Error on individual =%d agev[m][i]=%f m=%d\n",i, agev[m][i],m); 
                   3145:              if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   3146:                /*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]]);*/
                   3147:                prop[s[m][i]][(int)agev[m][i]] += weight[i];
                   3148:                prop[s[m][i]][iagemax+3] += weight[i]; 
                   3149:              } 
                   3150:            }
                   3151:          } /* end selection of waves */
                   3152:        }
                   3153:       }
                   3154:       for(i=iagemin; i <= iagemax+3; i++){  
                   3155:        for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
                   3156:          posprop += prop[jk][i]; 
                   3157:        } 
1.145     brouard  3158:        
1.126     brouard  3159:        for(jk=1; jk <=nlstate ; jk++){     
                   3160:          if( i <=  iagemax){ 
                   3161:            if(posprop>=1.e-5){ 
                   3162:              probs[i][jk][j1]= prop[jk][i]/posprop;
1.145     brouard  3163:            } else{
                   3164:              if(first==1){
                   3165:                first=0;
                   3166:                printf("Warning Observed prevalence probs[%d][%d][%d]=%lf because of lack of cases\nSee others on log file...\n",jk,i,j1,probs[i][jk][j1]);
                   3167:              }
                   3168:            }
1.126     brouard  3169:          } 
                   3170:        }/* end jk */ 
                   3171:       }/* end i */ 
1.145     brouard  3172:     /*} *//* end i1 */
                   3173:   } /* end j1 */
1.126     brouard  3174:   
                   3175:   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   3176:   /*free_vector(pp,1,nlstate);*/
                   3177:   free_matrix(prop,1,nlstate, iagemin,iagemax+3);
                   3178: }  /* End of prevalence */
                   3179: 
                   3180: /************* Waves Concatenation ***************/
                   3181: 
                   3182: 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)
                   3183: {
                   3184:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   3185:      Death is a valid wave (if date is known).
                   3186:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   3187:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   3188:      and mw[mi+1][i]. dh depends on stepm.
                   3189:      */
                   3190: 
                   3191:   int i, mi, m;
                   3192:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   3193:      double sum=0., jmean=0.;*/
                   3194:   int first;
                   3195:   int j, k=0,jk, ju, jl;
                   3196:   double sum=0.;
                   3197:   first=0;
1.164     brouard  3198:   jmin=100000;
1.126     brouard  3199:   jmax=-1;
                   3200:   jmean=0.;
                   3201:   for(i=1; i<=imx; i++){
                   3202:     mi=0;
                   3203:     m=firstpass;
                   3204:     while(s[m][i] <= nlstate){
                   3205:       if(s[m][i]>=1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5)
                   3206:        mw[++mi][i]=m;
                   3207:       if(m >=lastpass)
                   3208:        break;
                   3209:       else
                   3210:        m++;
                   3211:     }/* end while */
                   3212:     if (s[m][i] > nlstate){
                   3213:       mi++;    /* Death is another wave */
                   3214:       /* if(mi==0)  never been interviewed correctly before death */
                   3215:         /* Only death is a correct wave */
                   3216:       mw[mi][i]=m;
                   3217:     }
                   3218: 
                   3219:     wav[i]=mi;
                   3220:     if(mi==0){
                   3221:       nbwarn++;
                   3222:       if(first==0){
                   3223:        printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   3224:        first=1;
                   3225:       }
                   3226:       if(first==1){
                   3227:        fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
                   3228:       }
                   3229:     } /* end mi==0 */
                   3230:   } /* End individuals */
                   3231: 
                   3232:   for(i=1; i<=imx; i++){
                   3233:     for(mi=1; mi<wav[i];mi++){
                   3234:       if (stepm <=0)
                   3235:        dh[mi][i]=1;
                   3236:       else{
                   3237:        if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
                   3238:          if (agedc[i] < 2*AGESUP) {
                   3239:            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   3240:            if(j==0) j=1;  /* Survives at least one month after exam */
                   3241:            else if(j<0){
                   3242:              nberr++;
                   3243:              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]);
                   3244:              j=1; /* Temporary Dangerous patch */
                   3245:              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);
                   3246:              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]);
                   3247:              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);
                   3248:            }
                   3249:            k=k+1;
                   3250:            if (j >= jmax){
                   3251:              jmax=j;
                   3252:              ijmax=i;
                   3253:            }
                   3254:            if (j <= jmin){
                   3255:              jmin=j;
                   3256:              ijmin=i;
                   3257:            }
                   3258:            sum=sum+j;
                   3259:            /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   3260:            /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   3261:          }
                   3262:        }
                   3263:        else{
                   3264:          j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
                   3265: /*       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]); */
                   3266: 
                   3267:          k=k+1;
                   3268:          if (j >= jmax) {
                   3269:            jmax=j;
                   3270:            ijmax=i;
                   3271:          }
                   3272:          else if (j <= jmin){
                   3273:            jmin=j;
                   3274:            ijmin=i;
                   3275:          }
                   3276:          /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   3277:          /*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]);*/
                   3278:          if(j<0){
                   3279:            nberr++;
                   3280:            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]);
                   3281:            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]);
                   3282:          }
                   3283:          sum=sum+j;
                   3284:        }
                   3285:        jk= j/stepm;
                   3286:        jl= j -jk*stepm;
                   3287:        ju= j -(jk+1)*stepm;
                   3288:        if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   3289:          if(jl==0){
                   3290:            dh[mi][i]=jk;
                   3291:            bh[mi][i]=0;
                   3292:          }else{ /* We want a negative bias in order to only have interpolation ie
1.136     brouard  3293:                  * to avoid the price of an extra matrix product in likelihood */
1.126     brouard  3294:            dh[mi][i]=jk+1;
                   3295:            bh[mi][i]=ju;
                   3296:          }
                   3297:        }else{
                   3298:          if(jl <= -ju){
                   3299:            dh[mi][i]=jk;
                   3300:            bh[mi][i]=jl;       /* bias is positive if real duration
                   3301:                                 * is higher than the multiple of stepm and negative otherwise.
                   3302:                                 */
                   3303:          }
                   3304:          else{
                   3305:            dh[mi][i]=jk+1;
                   3306:            bh[mi][i]=ju;
                   3307:          }
                   3308:          if(dh[mi][i]==0){
                   3309:            dh[mi][i]=1; /* At least one step */
                   3310:            bh[mi][i]=ju; /* At least one step */
                   3311:            /*  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);*/
                   3312:          }
                   3313:        } /* end if mle */
                   3314:       }
                   3315:     } /* end wave */
                   3316:   }
                   3317:   jmean=sum/k;
                   3318:   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  3319:   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);
1.126     brouard  3320:  }
                   3321: 
                   3322: /*********** Tricode ****************************/
1.145     brouard  3323: void tricode(int *Tvar, int **nbcode, int imx, int *Ndum)
1.126     brouard  3324: {
1.144     brouard  3325:   /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   3326:   /*     Tvar[i]=atoi(stre);  find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1 
1.169     brouard  3327:    * Boring subroutine which should only output nbcode[Tvar[j]][k]
1.145     brouard  3328:    * Tvar[5] in V2+V1+V3*age+V2*V4 is 2 (V2)
1.169     brouard  3329:    * nbcode[Tvar[j]][1]= 
1.144     brouard  3330:   */
1.130     brouard  3331: 
1.145     brouard  3332:   int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
1.136     brouard  3333:   int modmaxcovj=0; /* Modality max of covariates j */
1.145     brouard  3334:   int cptcode=0; /* Modality max of covariates j */
                   3335:   int modmincovj=0; /* Modality min of covariates j */
                   3336: 
                   3337: 
1.126     brouard  3338:   cptcoveff=0; 
                   3339:  
1.144     brouard  3340:   for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.126     brouard  3341: 
1.145     brouard  3342:   /* Loop on covariates without age and products */
1.186     brouard  3343:   for (j=1; j<=(cptcovs); j++) { /* From model V1 + V2*age+ V3 + V3*V4 keeps V1 + V3 = 2 only */
1.192     brouard  3344:     for (k=-1; k < maxncov; k++) Ndum[k]=0;
1.186     brouard  3345:     for (i=1; i<=imx; i++) { /* Loop on individuals: reads the data file to get the maximum value of the 
1.136     brouard  3346:                               modality of this covariate Vj*/ 
1.145     brouard  3347:       ij=(int)(covar[Tvar[j]][i]); /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                   3348:                                    * If product of Vn*Vm, still boolean *:
                   3349:                                    * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                   3350:                                    * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
                   3351:       /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
1.136     brouard  3352:                                      modality of the nth covariate of individual i. */
1.145     brouard  3353:       if (ij > modmaxcovj)
                   3354:         modmaxcovj=ij; 
                   3355:       else if (ij < modmincovj) 
                   3356:        modmincovj=ij; 
                   3357:       if ((ij < -1) && (ij > NCOVMAX)){
                   3358:        printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
                   3359:        exit(1);
                   3360:       }else
1.136     brouard  3361:       Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
1.145     brouard  3362:       /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
1.126     brouard  3363:       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
1.136     brouard  3364:       /* getting the maximum value of the modality of the covariate
                   3365:         (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
                   3366:         female is 1, then modmaxcovj=1.*/
1.192     brouard  3367:     } /* end for loop on individuals i */
1.145     brouard  3368:     printf(" Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
1.192     brouard  3369:     fprintf(ficlog," Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
1.145     brouard  3370:     cptcode=modmaxcovj;
1.137     brouard  3371:     /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
1.145     brouard  3372:    /*for (i=0; i<=cptcode; i++) {*/
1.192     brouard  3373:     for (k=modmincovj;  k<=modmaxcovj; k++) { /* k=-1 ? 0 and 1*//* For each value k of the modality of model-cov j */
                   3374:       printf("Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
                   3375:       fprintf(ficlog, "Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
                   3376:       if( Ndum[k] != 0 ){ /* Counts if nobody answered modality k ie empty modality, we skip it and reorder */
                   3377:        if( k != -1){
                   3378:          ncodemax[j]++;  /* ncodemax[j]= Number of modalities of the j th
                   3379:                             covariate for which somebody answered excluding 
                   3380:                             undefined. Usually 2: 0 and 1. */
                   3381:        }
                   3382:        ncodemaxwundef[j]++; /* ncodemax[j]= Number of modalities of the j th
                   3383:                             covariate for which somebody answered including 
                   3384:                             undefined. Usually 3: -1, 0 and 1. */
1.145     brouard  3385:       }
                   3386:       /* In fact  ncodemax[j]=2 (dichotom. variables only) but it could be more for
                   3387:         historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
1.131     brouard  3388:     } /* Ndum[-1] number of undefined modalities */
1.126     brouard  3389: 
1.136     brouard  3390:     /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
1.186     brouard  3391:     /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. 
                   3392:        If Ndum[1]=0, Ndum[2]=0, Ndum[3]= 635, Ndum[4]=0, Ndum[5]=0, Ndum[6]=27, Ndum[7]=125;
1.145     brouard  3393:        modmincovj=3; modmaxcovj = 7;
1.186     brouard  3394:        There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3;
                   3395:        which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10;
                   3396:        defining two dummy variables: variables V1_1 and V1_2.
1.145     brouard  3397:        nbcode[Tvar[j]][ij]=k;
                   3398:        nbcode[Tvar[j]][1]=0;
                   3399:        nbcode[Tvar[j]][2]=1;
                   3400:        nbcode[Tvar[j]][3]=2;
1.197     brouard  3401:        To be continued (not working yet).
1.145     brouard  3402:     */
1.197     brouard  3403:     ij=0; /* ij is similar to i but can jump over null modalities */
                   3404:     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*/
                   3405:        if (Ndum[i] == 0) { /* If nobody responded to this modality k */
1.192     brouard  3406:          break;
                   3407:        }
                   3408:        ij++;
1.197     brouard  3409:        nbcode[Tvar[j]][ij]=i;  /* stores the original value of modality i in an array nbcode, ij modality from 1 to last non-nul modality.*/
1.192     brouard  3410:        cptcode = ij; /* New max modality for covar j */
                   3411:     } /* end of loop on modality i=-1 to 1 or more */
                   3412:       
                   3413:     /*   for (k=0; k<= cptcode; k++) { /\* k=-1 ? k=0 to 1 *\//\* Could be 1 to 4 *\//\* cptcode=modmaxcovj *\/ */
                   3414:     /*         /\*recode from 0 *\/ */
                   3415:     /*                                      k is a modality. If we have model=V1+V1*sex  */
                   3416:     /*                                      then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
                   3417:     /*                                   But if some modality were not used, it is recoded from 0 to a newer modmaxcovj=cptcode *\/ */
                   3418:     /*         } */
                   3419:     /*         /\* cptcode = ij; *\/ /\* New max modality for covar j *\/ */
                   3420:     /*         if (ij > ncodemax[j]) { */
                   3421:     /*           printf( " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]);  */
                   3422:     /*           fprintf(ficlog, " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]); */
                   3423:     /*           break; */
                   3424:     /*         } */
                   3425:     /*   }  /\* end of loop on modality k *\/ */
1.137     brouard  3426:   } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/  
                   3427:   
1.145     brouard  3428:  for (k=-1; k< maxncov; k++) Ndum[k]=0; 
1.137     brouard  3429:   
1.187     brouard  3430:   for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
1.145     brouard  3431:    /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
                   3432:    ij=Tvar[i]; /* Tvar might be -1 if status was unknown */ 
1.187     brouard  3433:    Ndum[ij]++; /* Might be supersed V1 + V1*age */
1.145     brouard  3434:  } 
1.126     brouard  3435: 
1.192     brouard  3436:  ij=0;
1.145     brouard  3437:  for (i=0; i<=  maxncov-1; i++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
                   3438:    /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
1.126     brouard  3439:    if((Ndum[i]!=0) && (i<=ncovcol)){
1.192     brouard  3440:      ij++;
1.145     brouard  3441:      /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
                   3442:      Tvaraff[ij]=i; /*For printing (unclear) */
1.192     brouard  3443:    }else{
                   3444:        /* Tvaraff[ij]=0; */
                   3445:    }
1.126     brouard  3446:  }
1.192     brouard  3447:  /* ij--; */
1.144     brouard  3448:  cptcoveff=ij; /*Number of total covariates*/
1.145     brouard  3449: 
1.126     brouard  3450: }
                   3451: 
1.145     brouard  3452: 
1.126     brouard  3453: /*********** Health Expectancies ****************/
                   3454: 
1.127     brouard  3455: void evsij(double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,char strstart[] )
1.126     brouard  3456: 
                   3457: {
                   3458:   /* Health expectancies, no variances */
1.164     brouard  3459:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  3460:   int nhstepma, nstepma; /* Decreasing with age */
                   3461:   double age, agelim, hf;
                   3462:   double ***p3mat;
                   3463:   double eip;
                   3464: 
                   3465:   pstamp(ficreseij);
                   3466:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   3467:   fprintf(ficreseij,"# Age");
                   3468:   for(i=1; i<=nlstate;i++){
                   3469:     for(j=1; j<=nlstate;j++){
                   3470:       fprintf(ficreseij," e%1d%1d ",i,j);
                   3471:     }
                   3472:     fprintf(ficreseij," e%1d. ",i);
                   3473:   }
                   3474:   fprintf(ficreseij,"\n");
                   3475: 
                   3476:   
                   3477:   if(estepm < stepm){
                   3478:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   3479:   }
                   3480:   else  hstepm=estepm;   
                   3481:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   3482:    * This is mainly to measure the difference between two models: for example
                   3483:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   3484:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   3485:    * progression in between and thus overestimating or underestimating according
                   3486:    * to the curvature of the survival function. If, for the same date, we 
                   3487:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   3488:    * to compare the new estimate of Life expectancy with the same linear 
                   3489:    * hypothesis. A more precise result, taking into account a more precise
                   3490:    * curvature will be obtained if estepm is as small as stepm. */
                   3491: 
                   3492:   /* For example we decided to compute the life expectancy with the smallest unit */
                   3493:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   3494:      nhstepm is the number of hstepm from age to agelim 
                   3495:      nstepm is the number of stepm from age to agelin. 
                   3496:      Look at hpijx to understand the reason of that which relies in memory size
                   3497:      and note for a fixed period like estepm months */
                   3498:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   3499:      survival function given by stepm (the optimization length). Unfortunately it
                   3500:      means that if the survival funtion is printed only each two years of age and if
                   3501:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   3502:      results. So we changed our mind and took the option of the best precision.
                   3503:   */
                   3504:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   3505: 
                   3506:   agelim=AGESUP;
                   3507:   /* If stepm=6 months */
                   3508:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   3509:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   3510:     
                   3511: /* nhstepm age range expressed in number of stepm */
                   3512:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   3513:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3514:   /* if (stepm >= YEARM) hstepm=1;*/
                   3515:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   3516:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3517: 
                   3518:   for (age=bage; age<=fage; age ++){ 
                   3519:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   3520:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3521:     /* if (stepm >= YEARM) hstepm=1;*/
                   3522:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   3523: 
                   3524:     /* If stepm=6 months */
                   3525:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   3526:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   3527:     
                   3528:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   3529:     
                   3530:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   3531:     
                   3532:     printf("%d|",(int)age);fflush(stdout);
                   3533:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   3534:     
                   3535:     /* Computing expectancies */
                   3536:     for(i=1; i<=nlstate;i++)
                   3537:       for(j=1; j<=nlstate;j++)
                   3538:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   3539:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   3540:          
                   3541:          /* 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]);*/
                   3542: 
                   3543:        }
                   3544: 
                   3545:     fprintf(ficreseij,"%3.0f",age );
                   3546:     for(i=1; i<=nlstate;i++){
                   3547:       eip=0;
                   3548:       for(j=1; j<=nlstate;j++){
                   3549:        eip +=eij[i][j][(int)age];
                   3550:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   3551:       }
                   3552:       fprintf(ficreseij,"%9.4f", eip );
                   3553:     }
                   3554:     fprintf(ficreseij,"\n");
                   3555:     
                   3556:   }
                   3557:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3558:   printf("\n");
                   3559:   fprintf(ficlog,"\n");
                   3560:   
                   3561: }
                   3562: 
1.127     brouard  3563: 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[] )
1.126     brouard  3564: 
                   3565: {
                   3566:   /* Covariances of health expectancies eij and of total life expectancies according
                   3567:    to initial status i, ei. .
                   3568:   */
                   3569:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   3570:   int nhstepma, nstepma; /* Decreasing with age */
                   3571:   double age, agelim, hf;
                   3572:   double ***p3matp, ***p3matm, ***varhe;
                   3573:   double **dnewm,**doldm;
                   3574:   double *xp, *xm;
                   3575:   double **gp, **gm;
                   3576:   double ***gradg, ***trgradg;
                   3577:   int theta;
                   3578: 
                   3579:   double eip, vip;
                   3580: 
                   3581:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   3582:   xp=vector(1,npar);
                   3583:   xm=vector(1,npar);
                   3584:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   3585:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   3586:   
                   3587:   pstamp(ficresstdeij);
                   3588:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   3589:   fprintf(ficresstdeij,"# Age");
                   3590:   for(i=1; i<=nlstate;i++){
                   3591:     for(j=1; j<=nlstate;j++)
                   3592:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   3593:     fprintf(ficresstdeij," e%1d. ",i);
                   3594:   }
                   3595:   fprintf(ficresstdeij,"\n");
                   3596: 
                   3597:   pstamp(ficrescveij);
                   3598:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   3599:   fprintf(ficrescveij,"# Age");
                   3600:   for(i=1; i<=nlstate;i++)
                   3601:     for(j=1; j<=nlstate;j++){
                   3602:       cptj= (j-1)*nlstate+i;
                   3603:       for(i2=1; i2<=nlstate;i2++)
                   3604:        for(j2=1; j2<=nlstate;j2++){
                   3605:          cptj2= (j2-1)*nlstate+i2;
                   3606:          if(cptj2 <= cptj)
                   3607:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   3608:        }
                   3609:     }
                   3610:   fprintf(ficrescveij,"\n");
                   3611:   
                   3612:   if(estepm < stepm){
                   3613:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   3614:   }
                   3615:   else  hstepm=estepm;   
                   3616:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   3617:    * This is mainly to measure the difference between two models: for example
                   3618:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   3619:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   3620:    * progression in between and thus overestimating or underestimating according
                   3621:    * to the curvature of the survival function. If, for the same date, we 
                   3622:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   3623:    * to compare the new estimate of Life expectancy with the same linear 
                   3624:    * hypothesis. A more precise result, taking into account a more precise
                   3625:    * curvature will be obtained if estepm is as small as stepm. */
                   3626: 
                   3627:   /* For example we decided to compute the life expectancy with the smallest unit */
                   3628:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   3629:      nhstepm is the number of hstepm from age to agelim 
                   3630:      nstepm is the number of stepm from age to agelin. 
                   3631:      Look at hpijx to understand the reason of that which relies in memory size
                   3632:      and note for a fixed period like estepm months */
                   3633:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   3634:      survival function given by stepm (the optimization length). Unfortunately it
                   3635:      means that if the survival funtion is printed only each two years of age and if
                   3636:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   3637:      results. So we changed our mind and took the option of the best precision.
                   3638:   */
                   3639:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   3640: 
                   3641:   /* If stepm=6 months */
                   3642:   /* nhstepm age range expressed in number of stepm */
                   3643:   agelim=AGESUP;
                   3644:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   3645:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3646:   /* if (stepm >= YEARM) hstepm=1;*/
                   3647:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   3648:   
                   3649:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3650:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3651:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   3652:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   3653:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   3654:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   3655: 
                   3656:   for (age=bage; age<=fage; age ++){ 
                   3657:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   3658:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3659:     /* if (stepm >= YEARM) hstepm=1;*/
                   3660:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   3661: 
                   3662:     /* If stepm=6 months */
                   3663:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   3664:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   3665:     
                   3666:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   3667: 
                   3668:     /* Computing  Variances of health expectancies */
                   3669:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   3670:        decrease memory allocation */
                   3671:     for(theta=1; theta <=npar; theta++){
                   3672:       for(i=1; i<=npar; i++){ 
                   3673:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   3674:        xm[i] = x[i] - (i==theta ?delti[theta]:0);
                   3675:       }
                   3676:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
                   3677:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
                   3678:   
                   3679:       for(j=1; j<= nlstate; j++){
                   3680:        for(i=1; i<=nlstate; i++){
                   3681:          for(h=0; h<=nhstepm-1; h++){
                   3682:            gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
                   3683:            gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
                   3684:          }
                   3685:        }
                   3686:       }
                   3687:      
                   3688:       for(ij=1; ij<= nlstate*nlstate; ij++)
                   3689:        for(h=0; h<=nhstepm-1; h++){
                   3690:          gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
                   3691:        }
                   3692:     }/* End theta */
                   3693:     
                   3694:     
                   3695:     for(h=0; h<=nhstepm-1; h++)
                   3696:       for(j=1; j<=nlstate*nlstate;j++)
                   3697:        for(theta=1; theta <=npar; theta++)
                   3698:          trgradg[h][j][theta]=gradg[h][theta][j];
                   3699:     
                   3700: 
                   3701:      for(ij=1;ij<=nlstate*nlstate;ij++)
                   3702:       for(ji=1;ji<=nlstate*nlstate;ji++)
                   3703:        varhe[ij][ji][(int)age] =0.;
                   3704: 
                   3705:      printf("%d|",(int)age);fflush(stdout);
                   3706:      fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   3707:      for(h=0;h<=nhstepm-1;h++){
                   3708:       for(k=0;k<=nhstepm-1;k++){
                   3709:        matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
                   3710:        matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
                   3711:        for(ij=1;ij<=nlstate*nlstate;ij++)
                   3712:          for(ji=1;ji<=nlstate*nlstate;ji++)
                   3713:            varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
                   3714:       }
                   3715:     }
                   3716: 
                   3717:     /* Computing expectancies */
                   3718:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   3719:     for(i=1; i<=nlstate;i++)
                   3720:       for(j=1; j<=nlstate;j++)
                   3721:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   3722:          eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
                   3723:          
                   3724:          /* 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]);*/
                   3725: 
                   3726:        }
                   3727: 
                   3728:     fprintf(ficresstdeij,"%3.0f",age );
                   3729:     for(i=1; i<=nlstate;i++){
                   3730:       eip=0.;
                   3731:       vip=0.;
                   3732:       for(j=1; j<=nlstate;j++){
                   3733:        eip += eij[i][j][(int)age];
                   3734:        for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
                   3735:          vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
                   3736:        fprintf(ficresstdeij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[(j-1)*nlstate+i][(j-1)*nlstate+i][(int)age]) );
                   3737:       }
                   3738:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   3739:     }
                   3740:     fprintf(ficresstdeij,"\n");
                   3741: 
                   3742:     fprintf(ficrescveij,"%3.0f",age );
                   3743:     for(i=1; i<=nlstate;i++)
                   3744:       for(j=1; j<=nlstate;j++){
                   3745:        cptj= (j-1)*nlstate+i;
                   3746:        for(i2=1; i2<=nlstate;i2++)
                   3747:          for(j2=1; j2<=nlstate;j2++){
                   3748:            cptj2= (j2-1)*nlstate+i2;
                   3749:            if(cptj2 <= cptj)
                   3750:              fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
                   3751:          }
                   3752:       }
                   3753:     fprintf(ficrescveij,"\n");
                   3754:    
                   3755:   }
                   3756:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   3757:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   3758:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   3759:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   3760:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3761:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3762:   printf("\n");
                   3763:   fprintf(ficlog,"\n");
                   3764: 
                   3765:   free_vector(xm,1,npar);
                   3766:   free_vector(xp,1,npar);
                   3767:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   3768:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   3769:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   3770: }
                   3771: 
                   3772: /************ Variance ******************/
                   3773: 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 ij, int estepm, int cptcov, int cptcod, int popbased, int mobilav, char strstart[])
                   3774: {
                   3775:   /* Variance of health expectancies */
                   3776:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
                   3777:   /* double **newm;*/
1.169     brouard  3778:   /* int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)*/
                   3779:   
                   3780:   int movingaverage();
1.126     brouard  3781:   double **dnewm,**doldm;
                   3782:   double **dnewmp,**doldmp;
                   3783:   int i, j, nhstepm, hstepm, h, nstepm ;
1.164     brouard  3784:   int k;
1.126     brouard  3785:   double *xp;
                   3786:   double **gp, **gm;  /* for var eij */
                   3787:   double ***gradg, ***trgradg; /*for var eij */
                   3788:   double **gradgp, **trgradgp; /* for var p point j */
                   3789:   double *gpp, *gmp; /* for var p point j */
                   3790:   double **varppt; /* for var p point j nlstate to nlstate+ndeath */
                   3791:   double ***p3mat;
                   3792:   double age,agelim, hf;
                   3793:   double ***mobaverage;
                   3794:   int theta;
                   3795:   char digit[4];
                   3796:   char digitp[25];
                   3797: 
                   3798:   char fileresprobmorprev[FILENAMELENGTH];
                   3799: 
                   3800:   if(popbased==1){
                   3801:     if(mobilav!=0)
                   3802:       strcpy(digitp,"-populbased-mobilav-");
                   3803:     else strcpy(digitp,"-populbased-nomobil-");
                   3804:   }
                   3805:   else 
                   3806:     strcpy(digitp,"-stablbased-");
                   3807: 
                   3808:   if (mobilav!=0) {
                   3809:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   3810:     if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
                   3811:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   3812:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   3813:     }
                   3814:   }
                   3815: 
                   3816:   strcpy(fileresprobmorprev,"prmorprev"); 
                   3817:   sprintf(digit,"%-d",ij);
                   3818:   /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
                   3819:   strcat(fileresprobmorprev,digit); /* Tvar to be done */
                   3820:   strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
                   3821:   strcat(fileresprobmorprev,fileres);
                   3822:   if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
                   3823:     printf("Problem with resultfile: %s\n", fileresprobmorprev);
                   3824:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
                   3825:   }
                   3826:   printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   3827:  
                   3828:   fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   3829:   pstamp(ficresprobmorprev);
                   3830:   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);
                   3831:   fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
                   3832:   for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   3833:     fprintf(ficresprobmorprev," p.%-d SE",j);
                   3834:     for(i=1; i<=nlstate;i++)
                   3835:       fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
                   3836:   }  
                   3837:   fprintf(ficresprobmorprev,"\n");
                   3838:   fprintf(ficgp,"\n# Routine varevsij");
                   3839:   /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
                   3840:   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");
                   3841:   fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
                   3842: /*   } */
                   3843:   varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   3844:   pstamp(ficresvij);
                   3845:   fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
                   3846:   if(popbased==1)
1.128     brouard  3847:     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);
1.126     brouard  3848:   else
                   3849:     fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
                   3850:   fprintf(ficresvij,"# Age");
                   3851:   for(i=1; i<=nlstate;i++)
                   3852:     for(j=1; j<=nlstate;j++)
                   3853:       fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
                   3854:   fprintf(ficresvij,"\n");
                   3855: 
                   3856:   xp=vector(1,npar);
                   3857:   dnewm=matrix(1,nlstate,1,npar);
                   3858:   doldm=matrix(1,nlstate,1,nlstate);
                   3859:   dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
                   3860:   doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   3861: 
                   3862:   gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
                   3863:   gpp=vector(nlstate+1,nlstate+ndeath);
                   3864:   gmp=vector(nlstate+1,nlstate+ndeath);
                   3865:   trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
                   3866:   
                   3867:   if(estepm < stepm){
                   3868:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   3869:   }
                   3870:   else  hstepm=estepm;   
                   3871:   /* For example we decided to compute the life expectancy with the smallest unit */
                   3872:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   3873:      nhstepm is the number of hstepm from age to agelim 
                   3874:      nstepm is the number of stepm from age to agelin. 
1.128     brouard  3875:      Look at function hpijx to understand why (it is linked to memory size questions) */
1.126     brouard  3876:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   3877:      survival function given by stepm (the optimization length). Unfortunately it
                   3878:      means that if the survival funtion is printed every two years of age and if
                   3879:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   3880:      results. So we changed our mind and took the option of the best precision.
                   3881:   */
                   3882:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   3883:   agelim = AGESUP;
                   3884:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   3885:     nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   3886:     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   3887:     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3888:     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
                   3889:     gp=matrix(0,nhstepm,1,nlstate);
                   3890:     gm=matrix(0,nhstepm,1,nlstate);
                   3891: 
                   3892: 
                   3893:     for(theta=1; theta <=npar; theta++){
                   3894:       for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
                   3895:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   3896:       }
                   3897:       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
                   3898:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
                   3899: 
                   3900:       if (popbased==1) {
                   3901:        if(mobilav ==0){
                   3902:          for(i=1; i<=nlstate;i++)
                   3903:            prlim[i][i]=probs[(int)age][i][ij];
                   3904:        }else{ /* mobilav */ 
                   3905:          for(i=1; i<=nlstate;i++)
                   3906:            prlim[i][i]=mobaverage[(int)age][i][ij];
                   3907:        }
                   3908:       }
                   3909:   
                   3910:       for(j=1; j<= nlstate; j++){
                   3911:        for(h=0; h<=nhstepm; h++){
                   3912:          for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                   3913:            gp[h][j] += prlim[i][i]*p3mat[i][j][h];
                   3914:        }
                   3915:       }
                   3916:       /* This for computing probability of death (h=1 means
                   3917:          computed over hstepm matrices product = hstepm*stepm months) 
                   3918:          as a weighted average of prlim.
                   3919:       */
                   3920:       for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   3921:        for(i=1,gpp[j]=0.; i<= nlstate; i++)
                   3922:          gpp[j] += prlim[i][i]*p3mat[i][j][1];
                   3923:       }    
                   3924:       /* end probability of death */
                   3925: 
                   3926:       for(i=1; i<=npar; i++) /* Computes gradient x - delta */
                   3927:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   3928:       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
                   3929:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
                   3930:  
                   3931:       if (popbased==1) {
                   3932:        if(mobilav ==0){
                   3933:          for(i=1; i<=nlstate;i++)
                   3934:            prlim[i][i]=probs[(int)age][i][ij];
                   3935:        }else{ /* mobilav */ 
                   3936:          for(i=1; i<=nlstate;i++)
                   3937:            prlim[i][i]=mobaverage[(int)age][i][ij];
                   3938:        }
                   3939:       }
                   3940: 
1.128     brouard  3941:       for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
1.126     brouard  3942:        for(h=0; h<=nhstepm; h++){
                   3943:          for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                   3944:            gm[h][j] += prlim[i][i]*p3mat[i][j][h];
                   3945:        }
                   3946:       }
                   3947:       /* This for computing probability of death (h=1 means
                   3948:          computed over hstepm matrices product = hstepm*stepm months) 
                   3949:          as a weighted average of prlim.
                   3950:       */
                   3951:       for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   3952:        for(i=1,gmp[j]=0.; i<= nlstate; i++)
                   3953:          gmp[j] += prlim[i][i]*p3mat[i][j][1];
                   3954:       }    
                   3955:       /* end probability of death */
                   3956: 
                   3957:       for(j=1; j<= nlstate; j++) /* vareij */
                   3958:        for(h=0; h<=nhstepm; h++){
                   3959:          gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
                   3960:        }
                   3961: 
                   3962:       for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
                   3963:        gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
                   3964:       }
                   3965: 
                   3966:     } /* End theta */
                   3967: 
                   3968:     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
                   3969: 
                   3970:     for(h=0; h<=nhstepm; h++) /* veij */
                   3971:       for(j=1; j<=nlstate;j++)
                   3972:        for(theta=1; theta <=npar; theta++)
                   3973:          trgradg[h][j][theta]=gradg[h][theta][j];
                   3974: 
                   3975:     for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                   3976:       for(theta=1; theta <=npar; theta++)
                   3977:        trgradgp[j][theta]=gradgp[theta][j];
                   3978:   
                   3979: 
                   3980:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   3981:     for(i=1;i<=nlstate;i++)
                   3982:       for(j=1;j<=nlstate;j++)
                   3983:        vareij[i][j][(int)age] =0.;
                   3984: 
                   3985:     for(h=0;h<=nhstepm;h++){
                   3986:       for(k=0;k<=nhstepm;k++){
                   3987:        matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
                   3988:        matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
                   3989:        for(i=1;i<=nlstate;i++)
                   3990:          for(j=1;j<=nlstate;j++)
                   3991:            vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
                   3992:       }
                   3993:     }
                   3994:   
                   3995:     /* pptj */
                   3996:     matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
                   3997:     matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
                   3998:     for(j=nlstate+1;j<=nlstate+ndeath;j++)
                   3999:       for(i=nlstate+1;i<=nlstate+ndeath;i++)
                   4000:        varppt[j][i]=doldmp[j][i];
                   4001:     /* end ppptj */
                   4002:     /*  x centered again */
                   4003:     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
                   4004:     prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);
                   4005:  
                   4006:     if (popbased==1) {
                   4007:       if(mobilav ==0){
                   4008:        for(i=1; i<=nlstate;i++)
                   4009:          prlim[i][i]=probs[(int)age][i][ij];
                   4010:       }else{ /* mobilav */ 
                   4011:        for(i=1; i<=nlstate;i++)
                   4012:          prlim[i][i]=mobaverage[(int)age][i][ij];
                   4013:       }
                   4014:     }
                   4015:              
                   4016:     /* This for computing probability of death (h=1 means
                   4017:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
                   4018:        as a weighted average of prlim.
                   4019:     */
                   4020:     for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   4021:       for(i=1,gmp[j]=0.;i<= nlstate; i++) 
                   4022:        gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
                   4023:     }    
                   4024:     /* end probability of death */
                   4025: 
                   4026:     fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
                   4027:     for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   4028:       fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
                   4029:       for(i=1; i<=nlstate;i++){
                   4030:        fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
                   4031:       }
                   4032:     } 
                   4033:     fprintf(ficresprobmorprev,"\n");
                   4034: 
                   4035:     fprintf(ficresvij,"%.0f ",age );
                   4036:     for(i=1; i<=nlstate;i++)
                   4037:       for(j=1; j<=nlstate;j++){
                   4038:        fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
                   4039:       }
                   4040:     fprintf(ficresvij,"\n");
                   4041:     free_matrix(gp,0,nhstepm,1,nlstate);
                   4042:     free_matrix(gm,0,nhstepm,1,nlstate);
                   4043:     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
                   4044:     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
                   4045:     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4046:   } /* End age */
                   4047:   free_vector(gpp,nlstate+1,nlstate+ndeath);
                   4048:   free_vector(gmp,nlstate+1,nlstate+ndeath);
                   4049:   free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
                   4050:   free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.145     brouard  4051:   fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240");
1.126     brouard  4052:   /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
1.131     brouard  4053:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
1.126     brouard  4054: /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
                   4055: /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   4056: /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
1.145     brouard  4057:   fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
1.170     brouard  4058:   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
1.145     brouard  4059:   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
1.126     brouard  4060:   fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
                   4061:   fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months. <br> <img src=\"%s%s.png\"> <br>\n", estepm,subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
                   4062:   /*  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.png\"> <br>\n", stepm,YEARM,digitp,digit);
                   4063: */
                   4064: /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.png\";replot;",digitp,optionfilefiname,digit); */
                   4065:   fprintf(ficgp,"\nset out \"%s%s.png\";replot;\n",subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
                   4066: 
                   4067:   free_vector(xp,1,npar);
                   4068:   free_matrix(doldm,1,nlstate,1,nlstate);
                   4069:   free_matrix(dnewm,1,nlstate,1,npar);
                   4070:   free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   4071:   free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
                   4072:   free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   4073:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   4074:   fclose(ficresprobmorprev);
                   4075:   fflush(ficgp);
                   4076:   fflush(fichtm); 
                   4077: }  /* end varevsij */
                   4078: 
                   4079: /************ Variance of prevlim ******************/
                   4080: void varprevlim(char fileres[], 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 ij, char strstart[])
                   4081: {
                   4082:   /* Variance of prevalence limit */
                   4083:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  4084: 
1.126     brouard  4085:   double **dnewm,**doldm;
                   4086:   int i, j, nhstepm, hstepm;
                   4087:   double *xp;
                   4088:   double *gp, *gm;
                   4089:   double **gradg, **trgradg;
                   4090:   double age,agelim;
                   4091:   int theta;
                   4092:   
                   4093:   pstamp(ficresvpl);
                   4094:   fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
                   4095:   fprintf(ficresvpl,"# Age");
                   4096:   for(i=1; i<=nlstate;i++)
                   4097:       fprintf(ficresvpl," %1d-%1d",i,i);
                   4098:   fprintf(ficresvpl,"\n");
                   4099: 
                   4100:   xp=vector(1,npar);
                   4101:   dnewm=matrix(1,nlstate,1,npar);
                   4102:   doldm=matrix(1,nlstate,1,nlstate);
                   4103:   
                   4104:   hstepm=1*YEARM; /* Every year of age */
                   4105:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   4106:   agelim = AGESUP;
                   4107:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   4108:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   4109:     if (stepm >= YEARM) hstepm=1;
                   4110:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   4111:     gradg=matrix(1,npar,1,nlstate);
                   4112:     gp=vector(1,nlstate);
                   4113:     gm=vector(1,nlstate);
                   4114: 
                   4115:     for(theta=1; theta <=npar; theta++){
                   4116:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   4117:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   4118:       }
                   4119:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
                   4120:       for(i=1;i<=nlstate;i++)
                   4121:        gp[i] = prlim[i][i];
                   4122:     
                   4123:       for(i=1; i<=npar; i++) /* Computes gradient */
                   4124:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   4125:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
                   4126:       for(i=1;i<=nlstate;i++)
                   4127:        gm[i] = prlim[i][i];
                   4128: 
                   4129:       for(i=1;i<=nlstate;i++)
                   4130:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
                   4131:     } /* End theta */
                   4132: 
                   4133:     trgradg =matrix(1,nlstate,1,npar);
                   4134: 
                   4135:     for(j=1; j<=nlstate;j++)
                   4136:       for(theta=1; theta <=npar; theta++)
                   4137:        trgradg[j][theta]=gradg[theta][j];
                   4138: 
                   4139:     for(i=1;i<=nlstate;i++)
                   4140:       varpl[i][(int)age] =0.;
                   4141:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   4142:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
                   4143:     for(i=1;i<=nlstate;i++)
                   4144:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   4145: 
                   4146:     fprintf(ficresvpl,"%.0f ",age );
                   4147:     for(i=1; i<=nlstate;i++)
                   4148:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
                   4149:     fprintf(ficresvpl,"\n");
                   4150:     free_vector(gp,1,nlstate);
                   4151:     free_vector(gm,1,nlstate);
                   4152:     free_matrix(gradg,1,npar,1,nlstate);
                   4153:     free_matrix(trgradg,1,nlstate,1,npar);
                   4154:   } /* End age */
                   4155: 
                   4156:   free_vector(xp,1,npar);
                   4157:   free_matrix(doldm,1,nlstate,1,npar);
                   4158:   free_matrix(dnewm,1,nlstate,1,nlstate);
                   4159: 
                   4160: }
                   4161: 
                   4162: /************ Variance of one-step probabilities  ******************/
                   4163: 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[])
                   4164: {
1.164     brouard  4165:   int i, j=0,  k1, l1, tj;
1.126     brouard  4166:   int k2, l2, j1,  z1;
1.164     brouard  4167:   int k=0, l;
1.145     brouard  4168:   int first=1, first1, first2;
1.126     brouard  4169:   double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   4170:   double **dnewm,**doldm;
                   4171:   double *xp;
                   4172:   double *gp, *gm;
                   4173:   double **gradg, **trgradg;
                   4174:   double **mu;
1.164     brouard  4175:   double age, cov[NCOVMAX+1];
1.126     brouard  4176:   double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   4177:   int theta;
                   4178:   char fileresprob[FILENAMELENGTH];
                   4179:   char fileresprobcov[FILENAMELENGTH];
                   4180:   char fileresprobcor[FILENAMELENGTH];
                   4181:   double ***varpij;
                   4182: 
                   4183:   strcpy(fileresprob,"prob"); 
                   4184:   strcat(fileresprob,fileres);
                   4185:   if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   4186:     printf("Problem with resultfile: %s\n", fileresprob);
                   4187:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   4188:   }
                   4189:   strcpy(fileresprobcov,"probcov"); 
                   4190:   strcat(fileresprobcov,fileres);
                   4191:   if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   4192:     printf("Problem with resultfile: %s\n", fileresprobcov);
                   4193:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   4194:   }
                   4195:   strcpy(fileresprobcor,"probcor"); 
                   4196:   strcat(fileresprobcor,fileres);
                   4197:   if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   4198:     printf("Problem with resultfile: %s\n", fileresprobcor);
                   4199:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   4200:   }
                   4201:   printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   4202:   fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   4203:   printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   4204:   fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   4205:   printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   4206:   fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   4207:   pstamp(ficresprob);
                   4208:   fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   4209:   fprintf(ficresprob,"# Age");
                   4210:   pstamp(ficresprobcov);
                   4211:   fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   4212:   fprintf(ficresprobcov,"# Age");
                   4213:   pstamp(ficresprobcor);
                   4214:   fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   4215:   fprintf(ficresprobcor,"# Age");
                   4216: 
                   4217: 
                   4218:   for(i=1; i<=nlstate;i++)
                   4219:     for(j=1; j<=(nlstate+ndeath);j++){
                   4220:       fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   4221:       fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   4222:       fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   4223:     }  
                   4224:  /* fprintf(ficresprob,"\n");
                   4225:   fprintf(ficresprobcov,"\n");
                   4226:   fprintf(ficresprobcor,"\n");
                   4227:  */
1.131     brouard  4228:   xp=vector(1,npar);
1.126     brouard  4229:   dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   4230:   doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   4231:   mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   4232:   varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   4233:   first=1;
                   4234:   fprintf(ficgp,"\n# Routine varprob");
                   4235:   fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   4236:   fprintf(fichtm,"\n");
                   4237: 
1.197     brouard  4238:   fprintf(fichtm,"\n<li><h4> <a href=\"%s\">Matrix of variance-covariance of one-step probabilities (drawings)</a></h4></br>this page is important in order to visualize confidence intervals and especially correlation between disability and recovery</li>\n",optionfilehtmcov);
                   4239:   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);
                   4240:   fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
1.126     brouard  4241: and drawn. It helps understanding how is the covariance between two incidences.\
                   4242:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
                   4243:   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. \
                   4244: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   4245: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   4246: standard deviations wide on each axis. <br>\
                   4247:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   4248:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   4249: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   4250: 
                   4251:   cov[1]=1;
1.145     brouard  4252:   /* tj=cptcoveff; */
                   4253:   tj = (int) pow(2,cptcoveff);
1.126     brouard  4254:   if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   4255:   j1=0;
1.145     brouard  4256:   for(j1=1; j1<=tj;j1++){
                   4257:     /*for(i1=1; i1<=ncodemax[t];i1++){ */
                   4258:     /*j1++;*/
1.126     brouard  4259:       if  (cptcovn>0) {
                   4260:        fprintf(ficresprob, "\n#********** Variable "); 
1.198   ! brouard  4261:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4262:        fprintf(ficresprob, "**********\n#\n");
                   4263:        fprintf(ficresprobcov, "\n#********** Variable "); 
1.198   ! brouard  4264:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4265:        fprintf(ficresprobcov, "**********\n#\n");
                   4266:        
                   4267:        fprintf(ficgp, "\n#********** Variable "); 
1.198   ! brouard  4268:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4269:        fprintf(ficgp, "**********\n#\n");
                   4270:        
                   4271:        
                   4272:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
1.198   ! brouard  4273:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4274:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
                   4275:        
                   4276:        fprintf(ficresprobcor, "\n#********** Variable ");    
1.198   ! brouard  4277:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4278:        fprintf(ficresprobcor, "**********\n#");    
                   4279:       }
                   4280:       
1.145     brouard  4281:       gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   4282:       trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   4283:       gp=vector(1,(nlstate)*(nlstate+ndeath));
                   4284:       gm=vector(1,(nlstate)*(nlstate+ndeath));
1.126     brouard  4285:       for (age=bage; age<=fage; age ++){ 
                   4286:        cov[2]=age;
1.187     brouard  4287:        if(nagesqr==1)
                   4288:          cov[3]= age*age;
1.126     brouard  4289:        for (k=1; k<=cptcovn;k++) {
1.198   ! brouard  4290:          cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];/* j1 1 2 3 4
1.145     brouard  4291:                                                         * 1  1 1 1 1
                   4292:                                                         * 2  2 1 1 1
                   4293:                                                         * 3  1 2 1 1
                   4294:                                                         */
                   4295:          /* nbcode[1][1]=0 nbcode[1][2]=1;*/
1.126     brouard  4296:        }
1.186     brouard  4297:        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.198   ! brouard  4298:        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2];
1.126     brouard  4299:        for (k=1; k<=cptcovprod;k++)
1.198   ! brouard  4300:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]*nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])];
1.126     brouard  4301:        
                   4302:     
                   4303:        for(theta=1; theta <=npar; theta++){
                   4304:          for(i=1; i<=npar; i++)
                   4305:            xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
                   4306:          
                   4307:          pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   4308:          
                   4309:          k=0;
                   4310:          for(i=1; i<= (nlstate); i++){
                   4311:            for(j=1; j<=(nlstate+ndeath);j++){
                   4312:              k=k+1;
                   4313:              gp[k]=pmmij[i][j];
                   4314:            }
                   4315:          }
                   4316:          
                   4317:          for(i=1; i<=npar; i++)
                   4318:            xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
                   4319:     
                   4320:          pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   4321:          k=0;
                   4322:          for(i=1; i<=(nlstate); i++){
                   4323:            for(j=1; j<=(nlstate+ndeath);j++){
                   4324:              k=k+1;
                   4325:              gm[k]=pmmij[i][j];
                   4326:            }
                   4327:          }
                   4328:      
                   4329:          for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   4330:            gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   4331:        }
                   4332: 
                   4333:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   4334:          for(theta=1; theta <=npar; theta++)
                   4335:            trgradg[j][theta]=gradg[theta][j];
                   4336:        
                   4337:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   4338:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
                   4339: 
                   4340:        pmij(pmmij,cov,ncovmodel,x,nlstate);
                   4341:        
                   4342:        k=0;
                   4343:        for(i=1; i<=(nlstate); i++){
                   4344:          for(j=1; j<=(nlstate+ndeath);j++){
                   4345:            k=k+1;
                   4346:            mu[k][(int) age]=pmmij[i][j];
                   4347:          }
                   4348:        }
                   4349:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   4350:          for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   4351:            varpij[i][j][(int)age] = doldm[i][j];
                   4352: 
                   4353:        /*printf("\n%d ",(int)age);
                   4354:          for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   4355:          printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   4356:          fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   4357:          }*/
                   4358: 
                   4359:        fprintf(ficresprob,"\n%d ",(int)age);
                   4360:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   4361:        fprintf(ficresprobcor,"\n%d ",(int)age);
                   4362: 
                   4363:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   4364:          fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   4365:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   4366:          fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   4367:          fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   4368:        }
                   4369:        i=0;
                   4370:        for (k=1; k<=(nlstate);k++){
                   4371:          for (l=1; l<=(nlstate+ndeath);l++){ 
1.145     brouard  4372:            i++;
1.126     brouard  4373:            fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   4374:            fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   4375:            for (j=1; j<=i;j++){
1.145     brouard  4376:              /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
1.126     brouard  4377:              fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   4378:              fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   4379:            }
                   4380:          }
                   4381:        }/* end of loop for state */
                   4382:       } /* end of loop for age */
1.145     brouard  4383:       free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   4384:       free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   4385:       free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   4386:       free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   4387:       
1.126     brouard  4388:       /* Confidence intervalle of pij  */
                   4389:       /*
1.131     brouard  4390:        fprintf(ficgp,"\nunset parametric;unset label");
1.126     brouard  4391:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   4392:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   4393:        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);
                   4394:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   4395:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   4396:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   4397:       */
                   4398: 
                   4399:       /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
1.145     brouard  4400:       first1=1;first2=2;
1.126     brouard  4401:       for (k2=1; k2<=(nlstate);k2++){
                   4402:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   4403:          if(l2==k2) continue;
                   4404:          j=(k2-1)*(nlstate+ndeath)+l2;
                   4405:          for (k1=1; k1<=(nlstate);k1++){
                   4406:            for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   4407:              if(l1==k1) continue;
                   4408:              i=(k1-1)*(nlstate+ndeath)+l1;
                   4409:              if(i<=j) continue;
                   4410:              for (age=bage; age<=fage; age ++){ 
                   4411:                if ((int)age %5==0){
                   4412:                  v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   4413:                  v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   4414:                  cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   4415:                  mu1=mu[i][(int) age]/stepm*YEARM ;
                   4416:                  mu2=mu[j][(int) age]/stepm*YEARM;
                   4417:                  c12=cv12/sqrt(v1*v2);
                   4418:                  /* Computing eigen value of matrix of covariance */
                   4419:                  lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4420:                  lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
1.135     brouard  4421:                  if ((lc2 <0) || (lc1 <0) ){
1.145     brouard  4422:                    if(first2==1){
                   4423:                      first1=0;
                   4424:                    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);
                   4425:                    }
                   4426:                    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);
                   4427:                    /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   4428:                    /* lc2=fabs(lc2); */
1.135     brouard  4429:                  }
                   4430: 
1.126     brouard  4431:                  /* Eigen vectors */
                   4432:                  v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                   4433:                  /*v21=sqrt(1.-v11*v11); *//* error */
                   4434:                  v21=(lc1-v1)/cv12*v11;
                   4435:                  v12=-v21;
                   4436:                  v22=v11;
                   4437:                  tnalp=v21/v11;
                   4438:                  if(first1==1){
                   4439:                    first1=0;
                   4440:                    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);
                   4441:                  }
                   4442:                  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);
                   4443:                  /*printf(fignu*/
                   4444:                  /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   4445:                  /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   4446:                  if(first==1){
                   4447:                    first=0;
                   4448:                    fprintf(ficgp,"\nset parametric;unset label");
                   4449:                    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);
1.145     brouard  4450:                    fprintf(ficgp,"\nset ter png small size 320, 240");
1.126     brouard  4451:                    fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
                   4452:  :<a href=\"%s%d%1d%1d-%1d%1d.png\">\
                   4453: %s%d%1d%1d-%1d%1d.png</A>, ",k1,l1,k2,l2,\
                   4454:                            subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2,\
                   4455:                            subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                   4456:                    fprintf(fichtmcov,"\n<br><img src=\"%s%d%1d%1d-%1d%1d.png\"> ",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                   4457:                    fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                   4458:                    fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\"",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                   4459:                    fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   4460:                    fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   4461:                    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",\
                   4462:                            mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                   4463:                            mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   4464:                  }else{
                   4465:                    first=0;
                   4466:                    fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   4467:                    fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   4468:                    fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   4469:                    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",\
                   4470:                            mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                   4471:                            mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   4472:                  }/* if first */
                   4473:                } /* age mod 5 */
                   4474:              } /* end loop age */
                   4475:              fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\";replot;",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                   4476:              first=1;
                   4477:            } /*l12 */
                   4478:          } /* k12 */
                   4479:        } /*l1 */
                   4480:       }/* k1 */
1.169     brouard  4481:       /* } */ /* loop covariates */
1.126     brouard  4482:   }
                   4483:   free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   4484:   free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   4485:   free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   4486:   free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   4487:   free_vector(xp,1,npar);
                   4488:   fclose(ficresprob);
                   4489:   fclose(ficresprobcov);
                   4490:   fclose(ficresprobcor);
                   4491:   fflush(ficgp);
                   4492:   fflush(fichtmcov);
                   4493: }
                   4494: 
                   4495: 
                   4496: /******************* Printing html file ***********/
                   4497: void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \
                   4498:                  int lastpass, int stepm, int weightopt, char model[],\
                   4499:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
                   4500:                  int popforecast, int estepm ,\
                   4501:                  double jprev1, double mprev1,double anprev1, \
                   4502:                  double jprev2, double mprev2,double anprev2){
                   4503:   int jj1, k1, i1, cpt;
                   4504: 
                   4505:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   4506:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   4507: </ul>");
                   4508:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n \
                   4509:  - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> <br>\n ",
                   4510:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirf2(fileres,"p"),subdirf2(fileres,"p"));
                   4511:    fprintf(fichtm,"\
                   4512:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
                   4513:           stepm,subdirf2(fileres,"pij"),subdirf2(fileres,"pij"));
                   4514:    fprintf(fichtm,"\
                   4515:  - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
                   4516:           subdirf2(fileres,"pl"),subdirf2(fileres,"pl"));
                   4517:    fprintf(fichtm,"\
1.128     brouard  4518:  - (a) Life expectancies by health status at initial age, ei. (b) health expectancies by health status at initial age, eij . 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  4519:    <a href=\"%s\">%s</a> <br>\n",
                   4520:           estepm,subdirf2(fileres,"e"),subdirf2(fileres,"e"));
                   4521:    fprintf(fichtm,"\
                   4522:  - Population projections by age and states: \
                   4523:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileres,"f"),subdirf2(fileres,"f"));
                   4524: 
                   4525: fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
                   4526: 
1.145     brouard  4527:  m=pow(2,cptcoveff);
1.126     brouard  4528:  if (cptcovn < 1) {m=1;ncodemax[1]=1;}
                   4529: 
                   4530:  jj1=0;
                   4531:  for(k1=1; k1<=m;k1++){
1.192     brouard  4532:    /* for(i1=1; i1<=ncodemax[k1];i1++){ */
1.126     brouard  4533:      jj1++;
                   4534:      if (cptcovn > 0) {
                   4535:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.192     brouard  4536:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
1.198   ! brouard  4537:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
        !          4538:         printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout);
1.192     brouard  4539:        }
1.126     brouard  4540:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   4541:      }
                   4542:      /* Pij */
1.145     brouard  4543:      fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i, %d (stepm) months before: <a href=\"%s%d_1.png\">%s%d_1.png</a><br> \
                   4544: <img src=\"%s%d_1.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);     
1.126     brouard  4545:      /* Quasi-incidences */
                   4546:      fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
1.145     brouard  4547:  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too: <a href=\"%s%d_2.png\">%s%d_2.png</a><br> \
                   4548: <img src=\"%s%d_2.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1); 
1.126     brouard  4549:        /* Period (stable) prevalence in each health state */
1.154     brouard  4550:        for(cpt=1; cpt<=nlstate;cpt++){
1.166     brouard  4551:         fprintf(fichtm,"<br>- Convergence to period (stable) prevalence in state %d. Or probability to be in state %d being in state (1 to %d) at different ages. <a href=\"%s%d_%d.png\">%s%d_%d.png</a><br> \
                   4552: <img src=\"%s%d_%d.png\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1);
1.126     brouard  4553:        }
                   4554:      for(cpt=1; cpt<=nlstate;cpt++) {
1.154     brouard  4555:         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) : <a href=\"%s%d%d.png\">%s%d%d.png</a> <br> \
                   4556: <img src=\"%s%d%d.png\">",cpt,nlstate,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1);
1.126     brouard  4557:      }
1.192     brouard  4558:    /* } /\* end i1 *\/ */
1.126     brouard  4559:  }/* End k1 */
                   4560:  fprintf(fichtm,"</ul>");
                   4561: 
                   4562:  fprintf(fichtm,"\
                   4563: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
1.193     brouard  4564:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
1.197     brouard  4565:  - 95%% confidence intervals and Wald tests of the estimated parameters are in the log file.<br> \
                   4566: But because parameters are usually highly correlated (a higher incidence of disability \
                   4567: and a higher incidence of recovery can give very close observed transition) it might \
                   4568: be very useful to look not only at linear confidence intervals estimated from the \
                   4569: variances but at the covariance matrix. And instead of looking at the estimated coefficients \
                   4570: (parameters) of the logistic regression, it might be more meaningful to visualize the \
                   4571: covariance matrix of the one-step probabilities. \
                   4572: See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
1.126     brouard  4573: 
1.193     brouard  4574:  fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.126     brouard  4575:         subdirf2(fileres,"prob"),subdirf2(fileres,"prob"));
                   4576:  fprintf(fichtm,"\
                   4577:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   4578:         subdirf2(fileres,"probcov"),subdirf2(fileres,"probcov"));
                   4579: 
                   4580:  fprintf(fichtm,"\
                   4581:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   4582:         subdirf2(fileres,"probcor"),subdirf2(fileres,"probcor"));
                   4583:  fprintf(fichtm,"\
                   4584:  - 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): \
                   4585:    <a href=\"%s\">%s</a> <br>\n</li>",
                   4586:           estepm,subdirf2(fileres,"cve"),subdirf2(fileres,"cve"));
                   4587:  fprintf(fichtm,"\
                   4588:  - (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): \
                   4589:    <a href=\"%s\">%s</a> <br>\n</li>",
                   4590:           estepm,subdirf2(fileres,"stde"),subdirf2(fileres,"stde"));
                   4591:  fprintf(fichtm,"\
1.128     brouard  4592:  - Variances and covariances of health expectancies by age. Status (i) based health expectancies (in state j), e<sup>ij</sup> are weighted by the 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",
1.126     brouard  4593:         estepm, subdirf2(fileres,"v"),subdirf2(fileres,"v"));
                   4594:  fprintf(fichtm,"\
1.128     brouard  4595:  - 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",
                   4596:         estepm, subdirf2(fileres,"t"),subdirf2(fileres,"t"));
1.126     brouard  4597:  fprintf(fichtm,"\
                   4598:  - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\
                   4599:         subdirf2(fileres,"vpl"),subdirf2(fileres,"vpl"));
                   4600: 
                   4601: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   4602: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   4603: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   4604: /*     <br>",fileres,fileres,fileres,fileres); */
                   4605: /*  else  */
                   4606: /*    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); */
                   4607:  fflush(fichtm);
                   4608:  fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
                   4609: 
1.145     brouard  4610:  m=pow(2,cptcoveff);
1.126     brouard  4611:  if (cptcovn < 1) {m=1;ncodemax[1]=1;}
                   4612: 
                   4613:  jj1=0;
                   4614:  for(k1=1; k1<=m;k1++){
1.192     brouard  4615:    /* for(i1=1; i1<=ncodemax[k1];i1++){ */
1.126     brouard  4616:      jj1++;
                   4617:      if (cptcovn > 0) {
                   4618:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
                   4619:        for (cpt=1; cpt<=cptcoveff;cpt++) 
1.198   ! brouard  4620:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
1.126     brouard  4621:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   4622:      }
                   4623:      for(cpt=1; cpt<=nlstate;cpt++) {
                   4624:        fprintf(fichtm,"<br>- Observed (cross-sectional) and period (incidence based) \
1.145     brouard  4625: prevalence (with 95%% confidence interval) in state (%d): %s%d_%d.png <br>\
                   4626: <img src=\"%s%d_%d.png\">",cpt,subdirf2(optionfilefiname,"v"),cpt,jj1,subdirf2(optionfilefiname,"v"),cpt,jj1);  
1.126     brouard  4627:      }
                   4628:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.128     brouard  4629: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
                   4630: true period expectancies (those weighted with period prevalences are also\
                   4631:  drawn in addition to the population based expectancies computed using\
                   4632:  observed and cahotic prevalences: %s%d.png<br>\
1.126     brouard  4633: <img src=\"%s%d.png\">",subdirf2(optionfilefiname,"e"),jj1,subdirf2(optionfilefiname,"e"),jj1);
1.192     brouard  4634:    /* } /\* end i1 *\/ */
1.126     brouard  4635:  }/* End k1 */
                   4636:  fprintf(fichtm,"</ul>");
                   4637:  fflush(fichtm);
                   4638: }
                   4639: 
                   4640: /******************* Gnuplot file **************/
                   4641: void printinggnuplot(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
                   4642: 
                   4643:   char dirfileres[132],optfileres[132];
1.164     brouard  4644:   int cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
1.130     brouard  4645:   int ng=0;
1.126     brouard  4646: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   4647: /*     printf("Problem with file %s",optionfilegnuplot); */
                   4648: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   4649: /*   } */
                   4650: 
                   4651:   /*#ifdef windows */
                   4652:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   4653:     /*#endif */
                   4654:   m=pow(2,cptcoveff);
                   4655: 
                   4656:   strcpy(dirfileres,optionfilefiname);
                   4657:   strcpy(optfileres,"vpl");
                   4658:  /* 1eme*/
1.153     brouard  4659:   fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'vpl' files\n");
1.126     brouard  4660:   for (cpt=1; cpt<= nlstate ; cpt ++) {
1.145     brouard  4661:     for (k1=1; k1<= m ; k1 ++) { /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
                   4662:      fprintf(ficgp,"\nset out \"%s%d_%d.png\" \n",subdirf2(optionfilefiname,"v"),cpt,k1);
                   4663:      fprintf(ficgp,"\n#set out \"v%s%d_%d.png\" \n",optionfilefiname,cpt,k1);
1.126     brouard  4664:      fprintf(ficgp,"set xlabel \"Age\" \n\
                   4665: set ylabel \"Probability\" \n\
1.145     brouard  4666: set ter png small size 320, 240\n\
1.170     brouard  4667: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"%%lf",ageminpar,fage,subdirf2(fileres,"vpl"),k1-1,k1-1);
1.126     brouard  4668: 
                   4669:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  4670:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   4671:        else        fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4672:      }
1.170     brouard  4673:      fprintf(ficgp,"\" t\"Period (stable) prevalence\" w l lt 0,\"%s\" every :::%d::%d u 1:($2+1.96*$3) \"%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1);
1.126     brouard  4674:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  4675:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   4676:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4677:      } 
1.170     brouard  4678:      fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1); 
1.126     brouard  4679:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  4680:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   4681:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4682:      }  
1.145     brouard  4683:      fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l lt 2",subdirf2(fileres,"p"),k1-1,k1-1,2+4*(cpt-1));
1.126     brouard  4684:    }
                   4685:   }
                   4686:   /*2 eme*/
1.153     brouard  4687:   fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files\n");
1.126     brouard  4688:   for (k1=1; k1<= m ; k1 ++) { 
                   4689:     fprintf(ficgp,"\nset out \"%s%d.png\" \n",subdirf2(optionfilefiname,"e"),k1);
1.145     brouard  4690:     fprintf(ficgp,"set ylabel \"Years\" \nset ter png small size 320, 240\nplot [%.f:%.f] ",ageminpar,fage);
1.126     brouard  4691:     
                   4692:     for (i=1; i<= nlstate+1 ; i ++) {
                   4693:       k=2*i;
1.170     brouard  4694:       fprintf(ficgp,"\"%s\" every :::%d::%d u 1:2 \"%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
1.126     brouard  4695:       for (j=1; j<= nlstate+1 ; j ++) {
1.170     brouard  4696:        if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   4697:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4698:       }   
                   4699:       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");
                   4700:       else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);
1.170     brouard  4701:       fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2-$3*2) \"%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
1.126     brouard  4702:       for (j=1; j<= nlstate+1 ; j ++) {
1.170     brouard  4703:        if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   4704:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4705:       }   
1.145     brouard  4706:       fprintf(ficgp,"\" t\"\" w l lt 0,");
1.170     brouard  4707:       fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2+$3*2) \"%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
1.126     brouard  4708:       for (j=1; j<= nlstate+1 ; j ++) {
1.170     brouard  4709:        if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   4710:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4711:       }   
1.145     brouard  4712:       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   4713:       else fprintf(ficgp,"\" t\"\" w l lt 0,");
1.126     brouard  4714:     }
                   4715:   }
                   4716:   
                   4717:   /*3eme*/
                   4718:   
                   4719:   for (k1=1; k1<= m ; k1 ++) { 
                   4720:     for (cpt=1; cpt<= nlstate ; cpt ++) {
                   4721:       /*       k=2+nlstate*(2*cpt-2); */
                   4722:       k=2+(nlstate+1)*(cpt-1);
                   4723:       fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"exp"),cpt,k1);
1.145     brouard  4724:       fprintf(ficgp,"set ter png small size 320, 240\n\
1.126     brouard  4725: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileres,"e"),k1-1,k1-1,k,cpt);
                   4726:       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   4727:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   4728:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   4729:        fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   4730:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   4731:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   4732:        
                   4733:       */
                   4734:       for (i=1; i< nlstate ; i ++) {
                   4735:        fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+i,cpt,i+1);
                   4736:        /*      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);*/
                   4737:        
                   4738:       } 
                   4739:       fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d.\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+nlstate,cpt);
                   4740:     }
                   4741:   }
                   4742:   
                   4743:   /* CV preval stable (period) */
1.153     brouard  4744:   for (k1=1; k1<= m ; k1 ++) { /* For each multivariate if any */
                   4745:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.126     brouard  4746:       k=3;
1.153     brouard  4747:       fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, cov=%d state=%d",k1, cpt);
1.145     brouard  4748:       fprintf(ficgp,"\nset out \"%s%d_%d.png\" \n",subdirf2(optionfilefiname,"p"),cpt,k1);
1.126     brouard  4749:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.145     brouard  4750: set ter png small size 320, 240\n\
1.126     brouard  4751: unset log y\n\
1.153     brouard  4752: plot [%.f:%.f]  ", ageminpar, agemaxpar);
                   4753:       for (i=1; i<= nlstate ; i ++){
                   4754:        if(i==1)
                   4755:          fprintf(ficgp,"\"%s\"",subdirf2(fileres,"pij"));
                   4756:        else
                   4757:          fprintf(ficgp,", '' ");
1.154     brouard  4758:        l=(nlstate+ndeath)*(i-1)+1;
                   4759:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
1.153     brouard  4760:        for (j=1; j<= (nlstate-1) ; j ++)
                   4761:          fprintf(ficgp,"+$%d",k+l+j);
                   4762:        fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
                   4763:       } /* nlstate */
                   4764:       fprintf(ficgp,"\n");
                   4765:     } /* end cpt state*/ 
                   4766:   } /* end covariate */  
1.126     brouard  4767:   
                   4768:   /* proba elementaires */
1.187     brouard  4769:   fprintf(ficgp,"\n##############\n#MLE estimated parameters\n#############\n");
1.126     brouard  4770:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  4771:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  4772:     for(k=1; k <=(nlstate+ndeath); k++){
                   4773:       if (k != i) {
1.187     brouard  4774:        fprintf(ficgp,"#   current state %d\n",k);
1.126     brouard  4775:        for(j=1; j <=ncovmodel; j++){
1.187     brouard  4776:          fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
1.126     brouard  4777:          jk++; 
                   4778:        }
1.187     brouard  4779:        fprintf(ficgp,"\n");
1.126     brouard  4780:       }
                   4781:     }
                   4782:    }
1.187     brouard  4783:   fprintf(ficgp,"##############\n#\n");
                   4784: 
1.145     brouard  4785:   /*goto avoid;*/
1.187     brouard  4786:   fprintf(ficgp,"\n##############\n#Graphics of of probabilities or incidences\n#############\n");
                   4787:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   4788:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   4789:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   4790:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   4791:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   4792:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   4793:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   4794:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   4795:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   4796:   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   4797:   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
                   4798:   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   4799:   fprintf(ficgp,"#\n");
1.126     brouard  4800:    for(ng=1; ng<=2;ng++){ /* Number of graphics: first is probabilities second is incidence per year*/
1.187     brouard  4801:      fprintf(ficgp,"# ng=%d\n",ng);
                   4802:      fprintf(ficgp,"#   jk=1 to 2^%d=%d\n",cptcoveff,m);
1.126     brouard  4803:      for(jk=1; jk <=m; jk++) {
1.187     brouard  4804:        fprintf(ficgp,"#    jk=%d\n",jk);
1.145     brouard  4805:        fprintf(ficgp,"\nset out \"%s%d_%d.png\" \n",subdirf2(optionfilefiname,"pe"),jk,ng); 
1.126     brouard  4806:        if (ng==2)
                   4807:         fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
                   4808:        else
                   4809:         fprintf(ficgp,"\nset title \"Probability\"\n");
1.145     brouard  4810:        fprintf(ficgp,"\nset ter png small size 320, 240\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
1.126     brouard  4811:        i=1;
                   4812:        for(k2=1; k2<=nlstate; k2++) {
                   4813:         k3=i;
                   4814:         for(k=1; k<=(nlstate+ndeath); k++) {
                   4815:           if (k != k2){
                   4816:             if(ng==2)
1.187     brouard  4817:               if(nagesqr==0)
                   4818:                 fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   4819:               else /* nagesqr =1 */
                   4820:                 fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
1.126     brouard  4821:             else
1.187     brouard  4822:               if(nagesqr==0)
                   4823:                 fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   4824:               else /* nagesqr =1 */
                   4825:                 fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
1.141     brouard  4826:             ij=1;/* To be checked else nbcode[0][0] wrong */
1.187     brouard  4827:             for(j=3; j <=ncovmodel-nagesqr; j++) {
1.197     brouard  4828:               /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
                   4829:               if(ij <=cptcovage) { /* Bug valgrind */
                   4830:                 if((j-2)==Tage[ij]) { /* Bug valgrind */
1.198   ! brouard  4831:                   fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]);
1.197     brouard  4832:                   ij++;
                   4833:                 }
1.186     brouard  4834:               }
                   4835:               else
1.198   ! brouard  4836:                 fprintf(ficgp,"+p%d*%d",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
1.126     brouard  4837:             }
                   4838:             fprintf(ficgp,")/(1");
                   4839:             
1.187     brouard  4840:             for(k1=1; k1 <=nlstate; k1++){ 
                   4841:               if(nagesqr==0)
                   4842:                 fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
                   4843:               else /* nagesqr =1 */
                   4844:                 fprintf(ficgp,"+exp(p%d+p%d*x+p%d*x*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1,k3+(k1-1)*ncovmodel+1+nagesqr);
                   4845:   
1.126     brouard  4846:               ij=1;
1.187     brouard  4847:               for(j=3; j <=ncovmodel-nagesqr; j++){
1.197     brouard  4848:                 if(ij <=cptcovage) { /* Bug valgrind */
                   4849:                   if((j-2)==Tage[ij]) { /* Bug valgrind */
1.198   ! brouard  4850:                     fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]);
1.197     brouard  4851:                     ij++;
                   4852:                   }
1.186     brouard  4853:                 }
                   4854:                 else
1.198   ! brouard  4855:                   fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
1.126     brouard  4856:               }
                   4857:               fprintf(ficgp,")");
                   4858:             }
                   4859:             fprintf(ficgp,") t \"p%d%d\" ", k2,k);
                   4860:             if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");
                   4861:             i=i+ncovmodel;
                   4862:           }
                   4863:         } /* end k */
                   4864:        } /* end k2 */
                   4865:      } /* end jk */
                   4866:    } /* end ng */
1.164     brouard  4867:  /* avoid: */
1.126     brouard  4868:    fflush(ficgp); 
                   4869: }  /* end gnuplot */
                   4870: 
                   4871: 
                   4872: /*************** Moving average **************/
                   4873: int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav){
                   4874: 
                   4875:   int i, cpt, cptcod;
                   4876:   int modcovmax =1;
                   4877:   int mobilavrange, mob;
                   4878:   double age;
                   4879: 
                   4880:   modcovmax=2*cptcoveff;/* Max number of modalities. We suppose 
                   4881:                           a covariate has 2 modalities */
                   4882:   if (cptcovn<1) modcovmax=1; /* At least 1 pass */
                   4883: 
                   4884:   if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   4885:     if(mobilav==1) mobilavrange=5; /* default */
                   4886:     else mobilavrange=mobilav;
                   4887:     for (age=bage; age<=fage; age++)
                   4888:       for (i=1; i<=nlstate;i++)
                   4889:        for (cptcod=1;cptcod<=modcovmax;cptcod++)
                   4890:          mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   4891:     /* We keep the original values on the extreme ages bage, fage and for 
                   4892:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   4893:        we use a 5 terms etc. until the borders are no more concerned. 
                   4894:     */ 
                   4895:     for (mob=3;mob <=mobilavrange;mob=mob+2){
                   4896:       for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
                   4897:        for (i=1; i<=nlstate;i++){
                   4898:          for (cptcod=1;cptcod<=modcovmax;cptcod++){
                   4899:            mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                   4900:              for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   4901:                mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   4902:                mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                   4903:              }
                   4904:            mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
                   4905:          }
                   4906:        }
                   4907:       }/* end age */
                   4908:     }/* end mob */
                   4909:   }else return -1;
                   4910:   return 0;
                   4911: }/* End movingaverage */
                   4912: 
                   4913: 
                   4914: /************** Forecasting ******************/
1.169     brouard  4915: void prevforecast(char fileres[], double anproj1, double mproj1, double jproj1, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double anproj2, double p[], int cptcoveff){
1.126     brouard  4916:   /* proj1, year, month, day of starting projection 
                   4917:      agemin, agemax range of age
                   4918:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   4919:      anproj2 year of en of projection (same day and month as proj1).
                   4920:   */
1.164     brouard  4921:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1;
1.126     brouard  4922:   double agec; /* generic age */
                   4923:   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
                   4924:   double *popeffectif,*popcount;
                   4925:   double ***p3mat;
                   4926:   double ***mobaverage;
                   4927:   char fileresf[FILENAMELENGTH];
                   4928: 
                   4929:   agelim=AGESUP;
                   4930:   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   4931:  
                   4932:   strcpy(fileresf,"f"); 
                   4933:   strcat(fileresf,fileres);
                   4934:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   4935:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   4936:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   4937:   }
                   4938:   printf("Computing forecasting: result on file '%s' \n", fileresf);
                   4939:   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", fileresf);
                   4940: 
                   4941:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   4942: 
                   4943:   if (mobilav!=0) {
                   4944:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   4945:     if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
                   4946:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   4947:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   4948:     }
                   4949:   }
                   4950: 
                   4951:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   4952:   if (stepm<=12) stepsize=1;
                   4953:   if(estepm < stepm){
                   4954:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   4955:   }
                   4956:   else  hstepm=estepm;   
                   4957: 
                   4958:   hstepm=hstepm/stepm; 
                   4959:   yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                   4960:                                fractional in yp1 */
                   4961:   anprojmean=yp;
                   4962:   yp2=modf((yp1*12),&yp);
                   4963:   mprojmean=yp;
                   4964:   yp1=modf((yp2*30.5),&yp);
                   4965:   jprojmean=yp;
                   4966:   if(jprojmean==0) jprojmean=1;
                   4967:   if(mprojmean==0) jprojmean=1;
                   4968: 
                   4969:   i1=cptcoveff;
                   4970:   if (cptcovn < 1){i1=1;}
                   4971:   
                   4972:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
                   4973:   
                   4974:   fprintf(ficresf,"#****** Routine prevforecast **\n");
                   4975: 
                   4976: /*           if (h==(int)(YEARM*yearp)){ */
                   4977:   for(cptcov=1, k=0;cptcov<=i1;cptcov++){
                   4978:     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
                   4979:       k=k+1;
                   4980:       fprintf(ficresf,"\n#******");
                   4981:       for(j=1;j<=cptcoveff;j++) {
1.198   ! brouard  4982:        fprintf(ficresf," V%d=%d, hpijx=probability over h years, hp.jx is weighted by observed prev ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  4983:       }
                   4984:       fprintf(ficresf,"******\n");
                   4985:       fprintf(ficresf,"# Covariate valuofcovar yearproj age");
                   4986:       for(j=1; j<=nlstate+ndeath;j++){ 
                   4987:        for(i=1; i<=nlstate;i++)              
                   4988:           fprintf(ficresf," p%d%d",i,j);
                   4989:        fprintf(ficresf," p.%d",j);
                   4990:       }
                   4991:       for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) { 
                   4992:        fprintf(ficresf,"\n");
                   4993:        fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
                   4994: 
                   4995:        for (agec=fage; agec>=(ageminpar-1); agec--){ 
                   4996:          nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   4997:          nhstepm = nhstepm/hstepm; 
                   4998:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4999:          oldm=oldms;savm=savms;
                   5000:          hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   5001:        
                   5002:          for (h=0; h<=nhstepm; h++){
                   5003:            if (h*hstepm/YEARM*stepm ==yearp) {
                   5004:               fprintf(ficresf,"\n");
                   5005:               for(j=1;j<=cptcoveff;j++) 
1.198   ! brouard  5006:                 fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  5007:              fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
                   5008:            } 
                   5009:            for(j=1; j<=nlstate+ndeath;j++) {
                   5010:              ppij=0.;
                   5011:              for(i=1; i<=nlstate;i++) {
                   5012:                if (mobilav==1) 
                   5013:                  ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod];
                   5014:                else {
                   5015:                  ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod];
                   5016:                }
                   5017:                if (h*hstepm/YEARM*stepm== yearp) {
                   5018:                  fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   5019:                }
                   5020:              } /* end i */
                   5021:              if (h*hstepm/YEARM*stepm==yearp) {
                   5022:                fprintf(ficresf," %.3f", ppij);
                   5023:              }
                   5024:            }/* end j */
                   5025:          } /* end h */
                   5026:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5027:        } /* end agec */
                   5028:       } /* end yearp */
                   5029:     } /* end cptcod */
                   5030:   } /* end  cptcov */
                   5031:        
                   5032:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5033: 
                   5034:   fclose(ficresf);
                   5035: }
                   5036: 
                   5037: /************** Forecasting *****not tested NB*************/
1.169     brouard  5038: void populforecast(char fileres[], double anpyram,double mpyram,double jpyram,double ageminpar, double agemax,double dateprev1, double dateprev2, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anpyram1,double p[], int i2){
1.126     brouard  5039:   
                   5040:   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
                   5041:   int *popage;
                   5042:   double calagedatem, agelim, kk1, kk2;
                   5043:   double *popeffectif,*popcount;
                   5044:   double ***p3mat,***tabpop,***tabpopprev;
                   5045:   double ***mobaverage;
                   5046:   char filerespop[FILENAMELENGTH];
                   5047: 
                   5048:   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5049:   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5050:   agelim=AGESUP;
                   5051:   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;
                   5052:   
                   5053:   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   5054:   
                   5055:   
                   5056:   strcpy(filerespop,"pop"); 
                   5057:   strcat(filerespop,fileres);
                   5058:   if((ficrespop=fopen(filerespop,"w"))==NULL) {
                   5059:     printf("Problem with forecast resultfile: %s\n", filerespop);
                   5060:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);
                   5061:   }
                   5062:   printf("Computing forecasting: result on file '%s' \n", filerespop);
                   5063:   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);
                   5064: 
                   5065:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   5066: 
                   5067:   if (mobilav!=0) {
                   5068:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5069:     if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
                   5070:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   5071:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   5072:     }
                   5073:   }
                   5074: 
                   5075:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   5076:   if (stepm<=12) stepsize=1;
                   5077:   
                   5078:   agelim=AGESUP;
                   5079:   
                   5080:   hstepm=1;
                   5081:   hstepm=hstepm/stepm; 
                   5082:   
                   5083:   if (popforecast==1) {
                   5084:     if((ficpop=fopen(popfile,"r"))==NULL) {
                   5085:       printf("Problem with population file : %s\n",popfile);exit(0);
                   5086:       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);
                   5087:     } 
                   5088:     popage=ivector(0,AGESUP);
                   5089:     popeffectif=vector(0,AGESUP);
                   5090:     popcount=vector(0,AGESUP);
                   5091:     
                   5092:     i=1;   
                   5093:     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;
                   5094:    
                   5095:     imx=i;
                   5096:     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];
                   5097:   }
                   5098: 
                   5099:   for(cptcov=1,k=0;cptcov<=i2;cptcov++){
                   5100:    for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
                   5101:       k=k+1;
                   5102:       fprintf(ficrespop,"\n#******");
                   5103:       for(j=1;j<=cptcoveff;j++) {
1.198   ! brouard  5104:        fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  5105:       }
                   5106:       fprintf(ficrespop,"******\n");
                   5107:       fprintf(ficrespop,"# Age");
                   5108:       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);
                   5109:       if (popforecast==1)  fprintf(ficrespop," [Population]");
                   5110:       
                   5111:       for (cpt=0; cpt<=0;cpt++) { 
                   5112:        fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
                   5113:        
                   5114:        for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
                   5115:          nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
                   5116:          nhstepm = nhstepm/hstepm; 
                   5117:          
                   5118:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5119:          oldm=oldms;savm=savms;
                   5120:          hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   5121:        
                   5122:          for (h=0; h<=nhstepm; h++){
                   5123:            if (h==(int) (calagedatem+YEARM*cpt)) {
                   5124:              fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                   5125:            } 
                   5126:            for(j=1; j<=nlstate+ndeath;j++) {
                   5127:              kk1=0.;kk2=0;
                   5128:              for(i=1; i<=nlstate;i++) {              
                   5129:                if (mobilav==1) 
                   5130:                  kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];
                   5131:                else {
                   5132:                  kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];
                   5133:                }
                   5134:              }
                   5135:              if (h==(int)(calagedatem+12*cpt)){
                   5136:                tabpop[(int)(agedeb)][j][cptcod]=kk1;
                   5137:                  /*fprintf(ficrespop," %.3f", kk1);
                   5138:                    if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/
                   5139:              }
                   5140:            }
                   5141:            for(i=1; i<=nlstate;i++){
                   5142:              kk1=0.;
                   5143:                for(j=1; j<=nlstate;j++){
                   5144:                  kk1= kk1+tabpop[(int)(agedeb)][j][cptcod]; 
                   5145:                }
                   5146:                  tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)];
                   5147:            }
                   5148: 
                   5149:            if (h==(int)(calagedatem+12*cpt)) for(j=1; j<=nlstate;j++) 
                   5150:              fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);
                   5151:          }
                   5152:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5153:        }
                   5154:       }
                   5155:  
                   5156:   /******/
                   5157: 
                   5158:       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) { 
                   5159:        fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
                   5160:        for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
                   5161:          nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
                   5162:          nhstepm = nhstepm/hstepm; 
                   5163:          
                   5164:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5165:          oldm=oldms;savm=savms;
                   5166:          hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   5167:          for (h=0; h<=nhstepm; h++){
                   5168:            if (h==(int) (calagedatem+YEARM*cpt)) {
                   5169:              fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                   5170:            } 
                   5171:            for(j=1; j<=nlstate+ndeath;j++) {
                   5172:              kk1=0.;kk2=0;
                   5173:              for(i=1; i<=nlstate;i++) {              
                   5174:                kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];    
                   5175:              }
                   5176:              if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);        
                   5177:            }
                   5178:          }
                   5179:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5180:        }
                   5181:       }
                   5182:    } 
                   5183:   }
                   5184:  
                   5185:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5186: 
                   5187:   if (popforecast==1) {
                   5188:     free_ivector(popage,0,AGESUP);
                   5189:     free_vector(popeffectif,0,AGESUP);
                   5190:     free_vector(popcount,0,AGESUP);
                   5191:   }
                   5192:   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5193:   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5194:   fclose(ficrespop);
                   5195: } /* End of popforecast */
                   5196: 
                   5197: int fileappend(FILE *fichier, char *optionfich)
                   5198: {
                   5199:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   5200:     printf("Problem with file: %s\n", optionfich);
                   5201:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   5202:     return (0);
                   5203:   }
                   5204:   fflush(fichier);
                   5205:   return (1);
                   5206: }
                   5207: 
                   5208: 
                   5209: /**************** function prwizard **********************/
                   5210: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   5211: {
                   5212: 
                   5213:   /* Wizard to print covariance matrix template */
                   5214: 
1.164     brouard  5215:   char ca[32], cb[32];
                   5216:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  5217:   int numlinepar;
                   5218: 
                   5219:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   5220:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   5221:   for(i=1; i <=nlstate; i++){
                   5222:     jj=0;
                   5223:     for(j=1; j <=nlstate+ndeath; j++){
                   5224:       if(j==i) continue;
                   5225:       jj++;
                   5226:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   5227:       printf("%1d%1d",i,j);
                   5228:       fprintf(ficparo,"%1d%1d",i,j);
                   5229:       for(k=1; k<=ncovmodel;k++){
                   5230:        /*        printf(" %lf",param[i][j][k]); */
                   5231:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   5232:        printf(" 0.");
                   5233:        fprintf(ficparo," 0.");
                   5234:       }
                   5235:       printf("\n");
                   5236:       fprintf(ficparo,"\n");
                   5237:     }
                   5238:   }
                   5239:   printf("# Scales (for hessian or gradient estimation)\n");
                   5240:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   5241:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   5242:   for(i=1; i <=nlstate; i++){
                   5243:     jj=0;
                   5244:     for(j=1; j <=nlstate+ndeath; j++){
                   5245:       if(j==i) continue;
                   5246:       jj++;
                   5247:       fprintf(ficparo,"%1d%1d",i,j);
                   5248:       printf("%1d%1d",i,j);
                   5249:       fflush(stdout);
                   5250:       for(k=1; k<=ncovmodel;k++){
                   5251:        /*      printf(" %le",delti3[i][j][k]); */
                   5252:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   5253:        printf(" 0.");
                   5254:        fprintf(ficparo," 0.");
                   5255:       }
                   5256:       numlinepar++;
                   5257:       printf("\n");
                   5258:       fprintf(ficparo,"\n");
                   5259:     }
                   5260:   }
                   5261:   printf("# Covariance matrix\n");
                   5262: /* # 121 Var(a12)\n\ */
                   5263: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   5264: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   5265: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   5266: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   5267: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   5268: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   5269: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   5270:   fflush(stdout);
                   5271:   fprintf(ficparo,"# Covariance matrix\n");
                   5272:   /* # 121 Var(a12)\n\ */
                   5273:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   5274:   /* #   ...\n\ */
                   5275:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   5276:   
                   5277:   for(itimes=1;itimes<=2;itimes++){
                   5278:     jj=0;
                   5279:     for(i=1; i <=nlstate; i++){
                   5280:       for(j=1; j <=nlstate+ndeath; j++){
                   5281:        if(j==i) continue;
                   5282:        for(k=1; k<=ncovmodel;k++){
                   5283:          jj++;
                   5284:          ca[0]= k+'a'-1;ca[1]='\0';
                   5285:          if(itimes==1){
                   5286:            printf("#%1d%1d%d",i,j,k);
                   5287:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   5288:          }else{
                   5289:            printf("%1d%1d%d",i,j,k);
                   5290:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   5291:            /*  printf(" %.5le",matcov[i][j]); */
                   5292:          }
                   5293:          ll=0;
                   5294:          for(li=1;li <=nlstate; li++){
                   5295:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   5296:              if(lj==li) continue;
                   5297:              for(lk=1;lk<=ncovmodel;lk++){
                   5298:                ll++;
                   5299:                if(ll<=jj){
                   5300:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   5301:                  if(ll<jj){
                   5302:                    if(itimes==1){
                   5303:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   5304:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   5305:                    }else{
                   5306:                      printf(" 0.");
                   5307:                      fprintf(ficparo," 0.");
                   5308:                    }
                   5309:                  }else{
                   5310:                    if(itimes==1){
                   5311:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   5312:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   5313:                    }else{
                   5314:                      printf(" 0.");
                   5315:                      fprintf(ficparo," 0.");
                   5316:                    }
                   5317:                  }
                   5318:                }
                   5319:              } /* end lk */
                   5320:            } /* end lj */
                   5321:          } /* end li */
                   5322:          printf("\n");
                   5323:          fprintf(ficparo,"\n");
                   5324:          numlinepar++;
                   5325:        } /* end k*/
                   5326:       } /*end j */
                   5327:     } /* end i */
                   5328:   } /* end itimes */
                   5329: 
                   5330: } /* end of prwizard */
                   5331: /******************* Gompertz Likelihood ******************************/
                   5332: double gompertz(double x[])
                   5333: { 
                   5334:   double A,B,L=0.0,sump=0.,num=0.;
                   5335:   int i,n=0; /* n is the size of the sample */
                   5336: 
                   5337:   for (i=0;i<=imx-1 ; i++) {
                   5338:     sump=sump+weight[i];
                   5339:     /*    sump=sump+1;*/
                   5340:     num=num+1;
                   5341:   }
                   5342:  
                   5343:  
                   5344:   /* for (i=0; i<=imx; i++) 
                   5345:      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]);*/
                   5346: 
                   5347:   for (i=1;i<=imx ; i++)
                   5348:     {
                   5349:       if (cens[i] == 1 && wav[i]>1)
                   5350:        A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   5351:       
                   5352:       if (cens[i] == 0 && wav[i]>1)
                   5353:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                   5354:             +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
                   5355:       
                   5356:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   5357:       if (wav[i] > 1 ) { /* ??? */
                   5358:        L=L+A*weight[i];
                   5359:        /*      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]);*/
                   5360:       }
                   5361:     }
                   5362: 
                   5363:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   5364:  
                   5365:   return -2*L*num/sump;
                   5366: }
                   5367: 
1.136     brouard  5368: #ifdef GSL
                   5369: /******************* Gompertz_f Likelihood ******************************/
                   5370: double gompertz_f(const gsl_vector *v, void *params)
                   5371: { 
                   5372:   double A,B,LL=0.0,sump=0.,num=0.;
                   5373:   double *x= (double *) v->data;
                   5374:   int i,n=0; /* n is the size of the sample */
                   5375: 
                   5376:   for (i=0;i<=imx-1 ; i++) {
                   5377:     sump=sump+weight[i];
                   5378:     /*    sump=sump+1;*/
                   5379:     num=num+1;
                   5380:   }
                   5381:  
                   5382:  
                   5383:   /* for (i=0; i<=imx; i++) 
                   5384:      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]);*/
                   5385:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   5386:   for (i=1;i<=imx ; i++)
                   5387:     {
                   5388:       if (cens[i] == 1 && wav[i]>1)
                   5389:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   5390:       
                   5391:       if (cens[i] == 0 && wav[i]>1)
                   5392:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   5393:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   5394:       
                   5395:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   5396:       if (wav[i] > 1 ) { /* ??? */
                   5397:        LL=LL+A*weight[i];
                   5398:        /*      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]);*/
                   5399:       }
                   5400:     }
                   5401: 
                   5402:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   5403:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   5404:  
                   5405:   return -2*LL*num/sump;
                   5406: }
                   5407: #endif
                   5408: 
1.126     brouard  5409: /******************* Printing html file ***********/
                   5410: void printinghtmlmort(char fileres[], char title[], char datafile[], int firstpass, \
                   5411:                  int lastpass, int stepm, int weightopt, char model[],\
                   5412:                  int imx,  double p[],double **matcov,double agemortsup){
                   5413:   int i,k;
                   5414: 
                   5415:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   5416:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   5417:   for (i=1;i<=2;i++) 
                   5418:     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]));
                   5419:   fprintf(fichtm,"<br><br><img src=\"graphmort.png\">");
                   5420:   fprintf(fichtm,"</ul>");
                   5421: 
                   5422: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   5423: 
                   5424:  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>");
                   5425: 
                   5426:  for (k=agegomp;k<(agemortsup-2);k++) 
                   5427:    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]);
                   5428: 
                   5429:  
                   5430:   fflush(fichtm);
                   5431: }
                   5432: 
                   5433: /******************* Gnuplot file **************/
                   5434: void printinggnuplotmort(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
                   5435: 
                   5436:   char dirfileres[132],optfileres[132];
1.164     brouard  5437: 
1.126     brouard  5438:   int ng;
                   5439: 
                   5440: 
                   5441:   /*#ifdef windows */
                   5442:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   5443:     /*#endif */
                   5444: 
                   5445: 
                   5446:   strcpy(dirfileres,optionfilefiname);
                   5447:   strcpy(optfileres,"vpl");
                   5448:   fprintf(ficgp,"set out \"graphmort.png\"\n "); 
                   5449:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.145     brouard  5450:   fprintf(ficgp, "set ter png small size 320, 240\n set log y\n"); 
                   5451:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  5452:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   5453: 
                   5454: } 
                   5455: 
1.136     brouard  5456: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   5457: {
1.126     brouard  5458: 
1.136     brouard  5459:   /*-------- data file ----------*/
                   5460:   FILE *fic;
                   5461:   char dummy[]="                         ";
1.164     brouard  5462:   int i=0, j=0, n=0;
1.136     brouard  5463:   int linei, month, year,iout;
                   5464:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  5465:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  5466:   char *stratrunc;
                   5467:   int lstra;
1.126     brouard  5468: 
                   5469: 
1.136     brouard  5470:   if((fic=fopen(datafile,"r"))==NULL)    {
1.195     brouard  5471:     printf("Problem while opening datafile: %s\n", datafile);fflush(stdout);
                   5472:     fprintf(ficlog,"Problem while opening datafile: %s\n", datafile);fflush(ficlog);return 1;
1.136     brouard  5473:   }
1.126     brouard  5474: 
1.136     brouard  5475:   i=1;
                   5476:   linei=0;
                   5477:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   5478:     linei=linei+1;
                   5479:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   5480:       if(line[j] == '\t')
                   5481:        line[j] = ' ';
                   5482:     }
                   5483:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   5484:       ;
                   5485:     };
                   5486:     line[j+1]=0;  /* Trims blanks at end of line */
                   5487:     if(line[0]=='#'){
                   5488:       fprintf(ficlog,"Comment line\n%s\n",line);
                   5489:       printf("Comment line\n%s\n",line);
                   5490:       continue;
                   5491:     }
                   5492:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  5493:     strcpy(line, linetmp);
1.136     brouard  5494:   
1.126     brouard  5495: 
1.136     brouard  5496:     for (j=maxwav;j>=1;j--){
1.137     brouard  5497:       cutv(stra, strb, line, ' '); 
1.136     brouard  5498:       if(strb[0]=='.') { /* Missing status */
                   5499:        lval=-1;
                   5500:       }else{
                   5501:        errno=0;
                   5502:        lval=strtol(strb,&endptr,10); 
                   5503:       /*       if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   5504:        if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  5505:          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);
                   5506:          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);
1.136     brouard  5507:          return 1;
                   5508:        }
                   5509:       }
                   5510:       s[j][i]=lval;
                   5511:       
                   5512:       strcpy(line,stra);
                   5513:       cutv(stra, strb,line,' ');
1.169     brouard  5514:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  5515:       }
1.169     brouard  5516:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  5517:        month=99;
                   5518:        year=9999;
                   5519:       }else{
1.141     brouard  5520:        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);
                   5521:        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);
1.136     brouard  5522:        return 1;
                   5523:       }
                   5524:       anint[j][i]= (double) year; 
                   5525:       mint[j][i]= (double)month; 
                   5526:       strcpy(line,stra);
                   5527:     } /* ENd Waves */
                   5528:     
                   5529:     cutv(stra, strb,line,' '); 
1.169     brouard  5530:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  5531:     }
1.169     brouard  5532:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  5533:       month=99;
                   5534:       year=9999;
                   5535:     }else{
1.141     brouard  5536:       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);
                   5537:        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);
1.136     brouard  5538:        return 1;
                   5539:     }
                   5540:     andc[i]=(double) year; 
                   5541:     moisdc[i]=(double) month; 
                   5542:     strcpy(line,stra);
                   5543:     
                   5544:     cutv(stra, strb,line,' '); 
1.169     brouard  5545:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  5546:     }
1.169     brouard  5547:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  5548:       month=99;
                   5549:       year=9999;
                   5550:     }else{
1.141     brouard  5551:       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);
                   5552:       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);
1.136     brouard  5553:        return 1;
                   5554:     }
                   5555:     if (year==9999) {
1.141     brouard  5556:       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);
                   5557:       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);
1.136     brouard  5558:        return 1;
1.126     brouard  5559: 
1.136     brouard  5560:     }
                   5561:     annais[i]=(double)(year);
                   5562:     moisnais[i]=(double)(month); 
                   5563:     strcpy(line,stra);
                   5564:     
                   5565:     cutv(stra, strb,line,' '); 
                   5566:     errno=0;
                   5567:     dval=strtod(strb,&endptr); 
                   5568:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  5569:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   5570:       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  5571:       fflush(ficlog);
                   5572:       return 1;
                   5573:     }
                   5574:     weight[i]=dval; 
                   5575:     strcpy(line,stra);
                   5576:     
                   5577:     for (j=ncovcol;j>=1;j--){
                   5578:       cutv(stra, strb,line,' '); 
                   5579:       if(strb[0]=='.') { /* Missing status */
                   5580:        lval=-1;
                   5581:       }else{
                   5582:        errno=0;
                   5583:        lval=strtol(strb,&endptr,10); 
                   5584:        if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  5585:          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);
                   5586:          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);
1.136     brouard  5587:          return 1;
                   5588:        }
                   5589:       }
                   5590:       if(lval <-1 || lval >1){
1.141     brouard  5591:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  5592:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   5593:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
                   5594:  For example, for multinomial values like 1, 2 and 3,\n \
                   5595:  build V1=0 V2=0 for the reference value (1),\n \
                   5596:         V1=1 V2=0 for (2) \n \
                   5597:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
                   5598:  output of IMaCh is often meaningless.\n \
                   5599:  Exiting.\n",lval,linei, i,line,j);
1.141     brouard  5600:        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  5601:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   5602:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
                   5603:  For example, for multinomial values like 1, 2 and 3,\n \
                   5604:  build V1=0 V2=0 for the reference value (1),\n \
                   5605:         V1=1 V2=0 for (2) \n \
                   5606:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
                   5607:  output of IMaCh is often meaningless.\n \
                   5608:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
                   5609:        return 1;
                   5610:       }
                   5611:       covar[j][i]=(double)(lval);
                   5612:       strcpy(line,stra);
                   5613:     }  
                   5614:     lstra=strlen(stra);
                   5615:      
                   5616:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   5617:       stratrunc = &(stra[lstra-9]);
                   5618:       num[i]=atol(stratrunc);
                   5619:     }
                   5620:     else
                   5621:       num[i]=atol(stra);
                   5622:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   5623:       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;}*/
                   5624:     
                   5625:     i=i+1;
                   5626:   } /* End loop reading  data */
1.126     brouard  5627: 
1.136     brouard  5628:   *imax=i-1; /* Number of individuals */
                   5629:   fclose(fic);
                   5630:  
                   5631:   return (0);
1.164     brouard  5632:   /* endread: */
1.136     brouard  5633:     printf("Exiting readdata: ");
                   5634:     fclose(fic);
                   5635:     return (1);
1.126     brouard  5636: 
                   5637: 
                   5638: 
1.136     brouard  5639: }
1.145     brouard  5640: void removespace(char *str) {
                   5641:   char *p1 = str, *p2 = str;
                   5642:   do
                   5643:     while (*p2 == ' ')
                   5644:       p2++;
1.169     brouard  5645:   while (*p1++ == *p2++);
1.145     brouard  5646: }
                   5647: 
                   5648: int decodemodel ( char model[], int lastobs) /**< This routine decode the model and returns:
1.187     brouard  5649:    * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   5650:    * - nagesqr = 1 if age*age in the model, otherwise 0.
                   5651:    * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   5652:    * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
1.145     brouard  5653:    * - cptcovage number of covariates with age*products =2
                   5654:    * - cptcovs number of simple covariates
                   5655:    * - 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
                   5656:    *     which is a new column after the 9 (ncovcol) variables. 
                   5657:    * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
                   5658:    * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   5659:    *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   5660:    * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   5661:  */
1.136     brouard  5662: {
1.145     brouard  5663:   int i, j, k, ks;
1.164     brouard  5664:   int  j1, k1, k2;
1.136     brouard  5665:   char modelsav[80];
1.145     brouard  5666:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  5667:   char *strpt;
1.136     brouard  5668: 
1.145     brouard  5669:   /*removespace(model);*/
1.136     brouard  5670:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  5671:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  5672:     if (strstr(model,"AGE") !=0){
1.192     brouard  5673:       printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
                   5674:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
1.136     brouard  5675:       return 1;
                   5676:     }
1.141     brouard  5677:     if (strstr(model,"v") !=0){
                   5678:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   5679:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   5680:       return 1;
                   5681:     }
1.187     brouard  5682:     strcpy(modelsav,model); 
                   5683:     if ((strpt=strstr(model,"age*age")) !=0){
                   5684:       printf(" strpt=%s, model=%s\n",strpt, model);
                   5685:       if(strpt != model){
                   5686:       printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  5687:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  5688:  corresponding column of parameters.\n",model);
                   5689:       fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  5690:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  5691:  corresponding column of parameters.\n",model); fflush(ficlog);
                   5692:       return 1;
                   5693:     }
                   5694: 
                   5695:       nagesqr=1;
                   5696:       if (strstr(model,"+age*age") !=0)
                   5697:        substrchaine(modelsav, model, "+age*age");
                   5698:       else if (strstr(model,"age*age+") !=0)
                   5699:        substrchaine(modelsav, model, "age*age+");
                   5700:       else 
                   5701:        substrchaine(modelsav, model, "age*age");
                   5702:     }else
                   5703:       nagesqr=0;
                   5704:     if (strlen(modelsav) >1){
                   5705:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   5706:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
                   5707:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =2  */
                   5708:       cptcovt= j+1; /* Number of total covariates in the model, not including
                   5709:                   * cst, age and age*age 
                   5710:                   * V1+V1*age+ V3 + V3*V4+age*age=> 4*/
                   5711:                   /* including age products which are counted in cptcovage.
                   5712:                  * but the covariates which are products must be treated 
                   5713:                  * separately: ncovn=4- 2=2 (V1+V3). */
                   5714:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   5715:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
                   5716: 
                   5717:     
                   5718:       /*   Design
                   5719:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   5720:        *  <          ncovcol=8                >
                   5721:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   5722:        *   k=  1    2      3       4     5       6      7        8
                   5723:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   5724:        *  covar[k,i], value of kth covariate if not including age for individual i:
                   5725:        *       covar[1][i]= (V2), covar[4][i]=(V3), covar[8][i]=(V8)
                   5726:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[4]=3 Tvar[8]=8
                   5727:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   5728:        *  Tage[++cptcovage]=k
                   5729:        *       if products, new covar are created after ncovcol with k1
                   5730:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   5731:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   5732:        *  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
                   5733:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   5734:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   5735:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   5736:        *  <          ncovcol=8                >
                   5737:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   5738:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   5739:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
                   5740:        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   5741:        * p Tprod[1]@2={                         6, 5}
                   5742:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   5743:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   5744:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                   5745:        *How to reorganize?
                   5746:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   5747:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   5748:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   5749:        * Struct []
                   5750:        */
1.145     brouard  5751: 
1.187     brouard  5752:       /* This loop fills the array Tvar from the string 'model'.*/
                   5753:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   5754:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   5755:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   5756:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   5757:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   5758:       /*       k=1 Tvar[1]=2 (from V2) */
                   5759:       /*       k=5 Tvar[5] */
                   5760:       /* for (k=1; k<=cptcovn;k++) { */
1.198   ! brouard  5761:       /*       cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.187     brouard  5762:       /*       } */
1.198   ! brouard  5763:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
1.187     brouard  5764:       /*
                   5765:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
                   5766:       for(k=cptcovt; k>=1;k--) /**< Number of covariates */
1.145     brouard  5767:         Tvar[k]=0;
1.187     brouard  5768:       cptcovage=0;
                   5769:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
                   5770:        cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
                   5771:                                         modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
                   5772:        if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
                   5773:        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                   5774:        /*scanf("%d",i);*/
                   5775:        if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
                   5776:          cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
                   5777:          if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                   5778:            /* covar is not filled and then is empty */
                   5779:            cptcovprod--;
                   5780:            cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                   5781:            Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
                   5782:            cptcovage++; /* Sums the number of covariates which include age as a product */
                   5783:            Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
                   5784:            /*printf("stre=%s ", stre);*/
                   5785:          } else if (strcmp(strd,"age")==0) { /* or age*Vn */
                   5786:            cptcovprod--;
                   5787:            cutl(stre,strb,strc,'V');
                   5788:            Tvar[k]=atoi(stre);
                   5789:            cptcovage++;
                   5790:            Tage[cptcovage]=k;
                   5791:          } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                   5792:            /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                   5793:            cptcovn++;
                   5794:            cptcovprodnoage++;k1++;
                   5795:            cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                   5796:            Tvar[k]=ncovcol+k1; /* For model-covariate k tells which data-covariate to use but
                   5797:                                   because this model-covariate is a construction we invent a new column
                   5798:                                   ncovcol + k1
                   5799:                                   If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                   5800:                                   Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
                   5801:            cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                   5802:            Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
                   5803:            Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                   5804:            Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                   5805:            k2=k2+2;
                   5806:            Tvar[cptcovt+k2]=Tvard[k1][1]; /* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) */
                   5807:            Tvar[cptcovt+k2+1]=Tvard[k1][2];  /* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) */
                   5808:            for (i=1; i<=lastobs;i++){
                   5809:              /* Computes the new covariate which is a product of
                   5810:                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                   5811:              covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   5812:            }
                   5813:          } /* End age is not in the model */
                   5814:        } /* End if model includes a product */
                   5815:        else { /* no more sum */
                   5816:          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                   5817:          /*  scanf("%d",i);*/
                   5818:          cutl(strd,strc,strb,'V');
                   5819:          ks++; /**< Number of simple covariates */
1.145     brouard  5820:          cptcovn++;
1.187     brouard  5821:          Tvar[k]=atoi(strd);
                   5822:        }
                   5823:        strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
                   5824:        /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
                   5825:          scanf("%d",i);*/
                   5826:       } /* end of loop + on total covariates */
                   5827:     } /* end if strlen(modelsave == 0) age*age might exist */
                   5828:   } /* end if strlen(model == 0) */
1.136     brouard  5829:   
                   5830:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   5831:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
                   5832: 
                   5833:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
                   5834:   printf("cptcovprod=%d ", cptcovprod);
                   5835:   fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
                   5836: 
                   5837:   scanf("%d ",i);*/
                   5838: 
                   5839: 
1.137     brouard  5840:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  5841:   /*endread:*/
1.136     brouard  5842:     printf("Exiting decodemodel: ");
                   5843:     return (1);
                   5844: }
                   5845: 
1.169     brouard  5846: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.136     brouard  5847: {
                   5848:   int i, m;
                   5849: 
                   5850:   for (i=1; i<=imx; i++) {
                   5851:     for(m=2; (m<= maxwav); m++) {
                   5852:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   5853:        anint[m][i]=9999;
                   5854:        s[m][i]=-1;
                   5855:       }
                   5856:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.169     brouard  5857:        *nberr = *nberr + 1;
                   5858:        printf("Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased (%d)\n",(int)moisdc[i],(int)andc[i],num[i],i, *nberr);
                   5859:        fprintf(ficlog,"Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased (%d)\n",(int)moisdc[i],(int)andc[i],num[i],i, *nberr);
1.136     brouard  5860:        s[m][i]=-1;
                   5861:       }
                   5862:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  5863:        (*nberr)++;
1.136     brouard  5864:        printf("Error! Month of death of individual %ld on line %d was unknown %2d, you should set it otherwise the information on the death is skipped and results are biased.\n",num[i],i,(int)moisdc[i]); 
                   5865:        fprintf(ficlog,"Error! Month of death of individual %ld on line %d was unknown %f, you should set it otherwise the information on the death is skipped and results are biased.\n",num[i],i,moisdc[i]); 
                   5866:        s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
                   5867:       }
                   5868:     }
                   5869:   }
                   5870: 
                   5871:   for (i=1; i<=imx; i++)  {
                   5872:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   5873:     for(m=firstpass; (m<= lastpass); m++){
                   5874:       if(s[m][i] >0 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5){
                   5875:        if (s[m][i] >= nlstate+1) {
1.169     brouard  5876:          if(agedc[i]>0){
                   5877:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  5878:              agev[m][i]=agedc[i];
                   5879:          /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  5880:            }else {
1.136     brouard  5881:              if ((int)andc[i]!=9999){
                   5882:                nbwarn++;
                   5883:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   5884:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   5885:                agev[m][i]=-1;
                   5886:              }
                   5887:            }
1.169     brouard  5888:          } /* agedc > 0 */
1.136     brouard  5889:        }
                   5890:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   5891:                                 years but with the precision of a month */
                   5892:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   5893:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   5894:            agev[m][i]=1;
                   5895:          else if(agev[m][i] < *agemin){ 
                   5896:            *agemin=agev[m][i];
                   5897:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   5898:          }
                   5899:          else if(agev[m][i] >*agemax){
                   5900:            *agemax=agev[m][i];
1.156     brouard  5901:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  5902:          }
                   5903:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   5904:          /*     agev[m][i] = age[i]+2*m;*/
                   5905:        }
                   5906:        else { /* =9 */
                   5907:          agev[m][i]=1;
                   5908:          s[m][i]=-1;
                   5909:        }
                   5910:       }
                   5911:       else /*= 0 Unknown */
                   5912:        agev[m][i]=1;
                   5913:     }
                   5914:     
                   5915:   }
                   5916:   for (i=1; i<=imx; i++)  {
                   5917:     for(m=firstpass; (m<=lastpass); m++){
                   5918:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  5919:        (*nberr)++;
1.136     brouard  5920:        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);     
                   5921:        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);     
                   5922:        return 1;
                   5923:       }
                   5924:     }
                   5925:   }
                   5926: 
                   5927:   /*for (i=1; i<=imx; i++){
                   5928:   for (m=firstpass; (m<lastpass); m++){
                   5929:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   5930: }
                   5931: 
                   5932: }*/
                   5933: 
                   5934: 
1.139     brouard  5935:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   5936:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  5937: 
                   5938:   return (0);
1.164     brouard  5939:  /* endread:*/
1.136     brouard  5940:     printf("Exiting calandcheckages: ");
                   5941:     return (1);
                   5942: }
                   5943: 
1.172     brouard  5944: #if defined(_MSC_VER)
                   5945: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   5946: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   5947: //#include "stdafx.h"
                   5948: //#include <stdio.h>
                   5949: //#include <tchar.h>
                   5950: //#include <windows.h>
                   5951: //#include <iostream>
                   5952: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   5953: 
                   5954: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   5955: 
                   5956: BOOL IsWow64()
                   5957: {
                   5958:        BOOL bIsWow64 = FALSE;
                   5959: 
                   5960:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   5961:        //  (HANDLE, PBOOL);
                   5962: 
                   5963:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   5964: 
                   5965:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   5966:        const char funcName[] = "IsWow64Process";
                   5967:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   5968:                GetProcAddress(module, funcName);
                   5969: 
                   5970:        if (NULL != fnIsWow64Process)
                   5971:        {
                   5972:                if (!fnIsWow64Process(GetCurrentProcess(),
                   5973:                        &bIsWow64))
                   5974:                        //throw std::exception("Unknown error");
                   5975:                        printf("Unknown error\n");
                   5976:        }
                   5977:        return bIsWow64 != FALSE;
                   5978: }
                   5979: #endif
1.177     brouard  5980: 
1.191     brouard  5981: void syscompilerinfo(int logged)
1.167     brouard  5982:  {
                   5983:    /* #include "syscompilerinfo.h"*/
1.185     brouard  5984:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   5985:    /* /GS /W3 /Gy
                   5986:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   5987:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   5988:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  5989:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   5990:    */ 
                   5991:    /* 64 bits */
1.185     brouard  5992:    /*
                   5993:      /GS /W3 /Gy
                   5994:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   5995:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   5996:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   5997:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   5998:    /* Optimization are useless and O3 is slower than O2 */
                   5999:    /*
                   6000:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   6001:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   6002:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   6003:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   6004:    */
1.186     brouard  6005:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  6006:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   6007:       /PDB:"visual studio
                   6008:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   6009:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   6010:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   6011:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   6012:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   6013:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   6014:       uiAccess='false'"
                   6015:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   6016:       /NOLOGO /TLBID:1
                   6017:    */
1.177     brouard  6018: #if defined __INTEL_COMPILER
1.178     brouard  6019: #if defined(__GNUC__)
                   6020:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   6021: #endif
1.177     brouard  6022: #elif defined(__GNUC__) 
1.179     brouard  6023: #ifndef  __APPLE__
1.174     brouard  6024: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  6025: #endif
1.177     brouard  6026:    struct utsname sysInfo;
1.178     brouard  6027:    int cross = CROSS;
                   6028:    if (cross){
                   6029:           printf("Cross-");
1.191     brouard  6030:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  6031:    }
1.174     brouard  6032: #endif
                   6033: 
1.171     brouard  6034: #include <stdint.h>
1.178     brouard  6035: 
1.191     brouard  6036:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  6037: #if defined(__clang__)
1.191     brouard  6038:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  6039: #endif
                   6040: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191     brouard  6041:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  6042: #endif
                   6043: #if defined(__GNUC__) || defined(__GNUG__)
1.191     brouard  6044:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  6045: #endif
                   6046: #if defined(__HP_cc) || defined(__HP_aCC)
1.191     brouard  6047:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  6048: #endif
                   6049: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191     brouard  6050:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  6051: #endif
                   6052: #if defined(_MSC_VER)
1.191     brouard  6053:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  6054: #endif
                   6055: #if defined(__PGI)
1.191     brouard  6056:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  6057: #endif
                   6058: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191     brouard  6059:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  6060: #endif
1.191     brouard  6061:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  6062:    
1.167     brouard  6063: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   6064: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   6065:     // Windows (x64 and x86)
1.191     brouard  6066:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  6067: #elif __unix__ // all unices, not all compilers
                   6068:     // Unix
1.191     brouard  6069:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  6070: #elif __linux__
                   6071:     // linux
1.191     brouard  6072:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  6073: #elif __APPLE__
1.174     brouard  6074:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191     brouard  6075:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  6076: #endif
                   6077: 
                   6078: /*  __MINGW32__          */
                   6079: /*  __CYGWIN__  */
                   6080: /* __MINGW64__  */
                   6081: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   6082: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   6083: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   6084: /* _WIN64  // Defined for applications for Win64. */
                   6085: /* _M_X64 // Defined for compilations that target x64 processors. */
                   6086: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  6087: 
1.167     brouard  6088: #if UINTPTR_MAX == 0xffffffff
1.191     brouard  6089:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  6090: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191     brouard  6091:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  6092: #else
1.191     brouard  6093:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  6094: #endif
                   6095: 
1.169     brouard  6096: #if defined(__GNUC__)
                   6097: # if defined(__GNUC_PATCHLEVEL__)
                   6098: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   6099:                             + __GNUC_MINOR__ * 100 \
                   6100:                             + __GNUC_PATCHLEVEL__)
                   6101: # else
                   6102: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   6103:                             + __GNUC_MINOR__ * 100)
                   6104: # endif
1.174     brouard  6105:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191     brouard  6106:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  6107: 
                   6108:    if (uname(&sysInfo) != -1) {
                   6109:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191     brouard  6110:         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  6111:    }
                   6112:    else
                   6113:       perror("uname() error");
1.179     brouard  6114:    //#ifndef __INTEL_COMPILER 
                   6115: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  6116:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191     brouard  6117:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  6118: #endif
1.169     brouard  6119: #endif
1.172     brouard  6120: 
                   6121:    //   void main()
                   6122:    //   {
1.169     brouard  6123: #if defined(_MSC_VER)
1.174     brouard  6124:    if (IsWow64()){
1.191     brouard  6125:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
                   6126:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  6127:    }
                   6128:    else{
1.191     brouard  6129:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
                   6130:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  6131:    }
1.172     brouard  6132:    //     printf("\nPress Enter to continue...");
                   6133:    //     getchar();
                   6134:    //   }
                   6135: 
1.169     brouard  6136: #endif
                   6137:    
1.167     brouard  6138: 
                   6139:  }
1.136     brouard  6140: 
1.180     brouard  6141: int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar){
                   6142:   /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
                   6143:   int i, j, k, i1 ;
                   6144:   double ftolpl = 1.e-10;
                   6145:   double age, agebase, agelim;
                   6146: 
                   6147:     strcpy(filerespl,"pl");
                   6148:     strcat(filerespl,fileres);
                   6149:     if((ficrespl=fopen(filerespl,"w"))==NULL) {
                   6150:       printf("Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   6151:       fprintf(ficlog,"Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   6152:     }
                   6153:     printf("Computing period (stable) prevalence: result on file '%s' \n", filerespl);
                   6154:     fprintf(ficlog,"Computing period (stable) prevalence: result on file '%s' \n", filerespl);
                   6155:     pstamp(ficrespl);
                   6156:     fprintf(ficrespl,"# Period (stable) prevalence \n");
                   6157:     fprintf(ficrespl,"#Age ");
                   6158:     for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   6159:     fprintf(ficrespl,"\n");
                   6160:   
                   6161:     /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   6162: 
                   6163:     agebase=ageminpar;
                   6164:     agelim=agemaxpar;
                   6165: 
                   6166:     i1=pow(2,cptcoveff);
                   6167:     if (cptcovn < 1){i1=1;}
                   6168: 
                   6169:     for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   6170:     /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
                   6171:       //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
                   6172:        k=k+1;
                   6173:        /* to clean */
1.198   ! brouard  6174:        //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
1.180     brouard  6175:        fprintf(ficrespl,"\n#******");
                   6176:        printf("\n#******");
                   6177:        fprintf(ficlog,"\n#******");
                   6178:        for(j=1;j<=cptcoveff;j++) {
1.198   ! brouard  6179:          fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
        !          6180:          printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
        !          6181:          fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.180     brouard  6182:        }
                   6183:        fprintf(ficrespl,"******\n");
                   6184:        printf("******\n");
                   6185:        fprintf(ficlog,"******\n");
                   6186: 
                   6187:        fprintf(ficrespl,"#Age ");
                   6188:        for(j=1;j<=cptcoveff;j++) {
1.198   ! brouard  6189:          fprintf(ficrespl,"V%d %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.180     brouard  6190:        }
                   6191:        for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   6192:        fprintf(ficrespl,"\n");
                   6193:        
                   6194:        for (age=agebase; age<=agelim; age++){
                   6195:        /* for (age=agebase; age<=agebase; age++){ */
                   6196:          prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
                   6197:          fprintf(ficrespl,"%.0f ",age );
                   6198:          for(j=1;j<=cptcoveff;j++)
1.198   ! brouard  6199:            fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.180     brouard  6200:          for(i=1; i<=nlstate;i++)
                   6201:            fprintf(ficrespl," %.5f", prlim[i][i]);
                   6202:          fprintf(ficrespl,"\n");
                   6203:        } /* Age */
                   6204:        /* was end of cptcod */
                   6205:     } /* cptcov */
1.184     brouard  6206:        return 0;
1.180     brouard  6207: }
                   6208: 
                   6209: int hPijx(double *p, int bage, int fage){
                   6210:     /*------------- h Pij x at various ages ------------*/
                   6211: 
                   6212:   int stepsize;
                   6213:   int agelim;
                   6214:   int hstepm;
                   6215:   int nhstepm;
                   6216:   int h, i, i1, j, k;
                   6217: 
                   6218:   double agedeb;
                   6219:   double ***p3mat;
                   6220: 
                   6221:     strcpy(filerespij,"pij");  strcat(filerespij,fileres);
                   6222:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   6223:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   6224:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   6225:     }
                   6226:     printf("Computing pij: result on file '%s' \n", filerespij);
                   6227:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   6228:   
                   6229:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   6230:     /*if (stepm<=24) stepsize=2;*/
                   6231: 
                   6232:     agelim=AGESUP;
                   6233:     hstepm=stepsize*YEARM; /* Every year of age */
                   6234:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
                   6235: 
                   6236:     /* hstepm=1;   aff par mois*/
                   6237:     pstamp(ficrespij);
                   6238:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
                   6239:     i1= pow(2,cptcoveff);
1.183     brouard  6240:    /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   6241:    /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   6242:    /*          k=k+1;  */
                   6243:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   6244:       fprintf(ficrespij,"\n#****** ");
                   6245:       for(j=1;j<=cptcoveff;j++) 
1.198   ! brouard  6246:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.183     brouard  6247:       fprintf(ficrespij,"******\n");
                   6248:       
                   6249:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   6250:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6251:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6252:        
                   6253:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  6254:        
1.183     brouard  6255:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6256:        oldm=oldms;savm=savms;
                   6257:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   6258:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   6259:        for(i=1; i<=nlstate;i++)
                   6260:          for(j=1; j<=nlstate+ndeath;j++)
                   6261:            fprintf(ficrespij," %1d-%1d",i,j);
                   6262:        fprintf(ficrespij,"\n");
                   6263:        for (h=0; h<=nhstepm; h++){
                   6264:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   6265:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  6266:          for(i=1; i<=nlstate;i++)
                   6267:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  6268:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  6269:          fprintf(ficrespij,"\n");
                   6270:        }
1.183     brouard  6271:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6272:        fprintf(ficrespij,"\n");
                   6273:       }
1.180     brouard  6274:       /*}*/
                   6275:     }
1.184     brouard  6276:        return 0;
1.180     brouard  6277: }
                   6278: 
                   6279: 
1.136     brouard  6280: /***********************************************/
                   6281: /**************** Main Program *****************/
                   6282: /***********************************************/
                   6283: 
                   6284: int main(int argc, char *argv[])
                   6285: {
                   6286: #ifdef GSL
                   6287:   const gsl_multimin_fminimizer_type *T;
                   6288:   size_t iteri = 0, it;
                   6289:   int rval = GSL_CONTINUE;
                   6290:   int status = GSL_SUCCESS;
                   6291:   double ssval;
                   6292: #endif
                   6293:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.164     brouard  6294:   int i,j, k, n=MAXN,iter=0,m,size=100, cptcod;
                   6295: 
                   6296:   int jj, ll, li, lj, lk;
1.136     brouard  6297:   int numlinepar=0; /* Current linenumber of parameter file */
1.197     brouard  6298:   int num_filled;
1.136     brouard  6299:   int itimes;
                   6300:   int NDIM=2;
                   6301:   int vpopbased=0;
                   6302: 
1.164     brouard  6303:   char ca[32], cb[32];
1.136     brouard  6304:   /*  FILE *fichtm; *//* Html File */
                   6305:   /* FILE *ficgp;*/ /*Gnuplot File */
                   6306:   struct stat info;
1.191     brouard  6307:   double agedeb=0.;
1.194     brouard  6308: 
                   6309:   double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
1.136     brouard  6310: 
1.165     brouard  6311:   double fret;
1.191     brouard  6312:   double dum=0.; /* Dummy variable */
1.136     brouard  6313:   double ***p3mat;
                   6314:   double ***mobaverage;
1.164     brouard  6315: 
                   6316:   char line[MAXLINE];
1.197     brouard  6317:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
                   6318: 
                   6319:   char model[MAXLINE], modeltemp[MAXLINE];
1.136     brouard  6320:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  6321:   char *tok, *val; /* pathtot */
1.136     brouard  6322:   int firstobs=1, lastobs=10;
1.195     brouard  6323:   int c,  h , cpt, c2;
1.191     brouard  6324:   int jl=0;
                   6325:   int i1, j1, jk, stepsize=0;
1.194     brouard  6326:   int count=0;
                   6327: 
1.164     brouard  6328:   int *tab; 
1.136     brouard  6329:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
                   6330:   int mobilav=0,popforecast=0;
1.191     brouard  6331:   int hstepm=0, nhstepm=0;
1.136     brouard  6332:   int agemortsup;
                   6333:   float  sumlpop=0.;
                   6334:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   6335:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   6336: 
1.191     brouard  6337:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  6338:   double ftolpl=FTOL;
                   6339:   double **prlim;
                   6340:   double ***param; /* Matrix of parameters */
                   6341:   double  *p;
                   6342:   double **matcov; /* Matrix of covariance */
                   6343:   double ***delti3; /* Scale */
                   6344:   double *delti; /* Scale */
                   6345:   double ***eij, ***vareij;
                   6346:   double **varpl; /* Variances of prevalence limits by age */
                   6347:   double *epj, vepp;
1.164     brouard  6348: 
1.136     brouard  6349:   double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
                   6350:   double **ximort;
1.145     brouard  6351:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  6352:   int *dcwave;
                   6353: 
1.164     brouard  6354:   char z[1]="c";
1.136     brouard  6355: 
                   6356:   /*char  *strt;*/
                   6357:   char strtend[80];
1.126     brouard  6358: 
1.164     brouard  6359: 
1.126     brouard  6360: /*   setlocale (LC_ALL, ""); */
                   6361: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   6362: /*   textdomain (PACKAGE); */
                   6363: /*   setlocale (LC_CTYPE, ""); */
                   6364: /*   setlocale (LC_MESSAGES, ""); */
                   6365: 
                   6366:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  6367:   rstart_time = time(NULL);  
                   6368:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   6369:   start_time = *localtime(&rstart_time);
1.126     brouard  6370:   curr_time=start_time;
1.157     brouard  6371:   /*tml = *localtime(&start_time.tm_sec);*/
                   6372:   /* strcpy(strstart,asctime(&tml)); */
                   6373:   strcpy(strstart,asctime(&start_time));
1.126     brouard  6374: 
                   6375: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  6376: /*  tp.tm_sec = tp.tm_sec +86400; */
                   6377: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  6378: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   6379: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   6380: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  6381: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  6382: /*   strt=asctime(&tmg); */
                   6383: /*   printf("Time(after) =%s",strstart);  */
                   6384: /*  (void) time (&time_value);
                   6385: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   6386: *  tm = *localtime(&time_value);
                   6387: *  strstart=asctime(&tm);
                   6388: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   6389: */
                   6390: 
                   6391:   nberr=0; /* Number of errors and warnings */
                   6392:   nbwarn=0;
1.184     brouard  6393: #ifdef WIN32
                   6394:   _getcwd(pathcd, size);
                   6395: #else
1.126     brouard  6396:   getcwd(pathcd, size);
1.184     brouard  6397: #endif
1.191     brouard  6398:   syscompilerinfo(0);
1.196     brouard  6399:   printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
1.126     brouard  6400:   if(argc <=1){
                   6401:     printf("\nEnter the parameter file name: ");
                   6402:     fgets(pathr,FILENAMELENGTH,stdin);
                   6403:     i=strlen(pathr);
                   6404:     if(pathr[i-1]=='\n')
                   6405:       pathr[i-1]='\0';
1.156     brouard  6406:     i=strlen(pathr);
                   6407:     if(pathr[i-1]==' ') /* This may happen when dragging on oS/X! */
                   6408:       pathr[i-1]='\0';
1.126     brouard  6409:    for (tok = pathr; tok != NULL; ){
                   6410:       printf("Pathr |%s|\n",pathr);
                   6411:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   6412:       printf("val= |%s| pathr=%s\n",val,pathr);
                   6413:       strcpy (pathtot, val);
                   6414:       if(pathr[0] == '\0') break; /* Dirty */
                   6415:     }
                   6416:   }
                   6417:   else{
                   6418:     strcpy(pathtot,argv[1]);
                   6419:   }
                   6420:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   6421:   /*cygwin_split_path(pathtot,path,optionfile);
                   6422:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   6423:   /* cutv(path,optionfile,pathtot,'\\');*/
                   6424: 
                   6425:   /* Split argv[0], imach program to get pathimach */
                   6426:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   6427:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   6428:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   6429:  /*   strcpy(pathimach,argv[0]); */
                   6430:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   6431:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   6432:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  6433: #ifdef WIN32
                   6434:   _chdir(path); /* Can be a relative path */
                   6435:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   6436: #else
1.126     brouard  6437:   chdir(path); /* Can be a relative path */
1.184     brouard  6438:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   6439: #endif
                   6440:   printf("Current directory %s!\n",pathcd);
1.126     brouard  6441:   strcpy(command,"mkdir ");
                   6442:   strcat(command,optionfilefiname);
                   6443:   if((outcmd=system(command)) != 0){
1.169     brouard  6444:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  6445:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   6446:     /* fclose(ficlog); */
                   6447: /*     exit(1); */
                   6448:   }
                   6449: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   6450: /*     perror("mkdir"); */
                   6451: /*   } */
                   6452: 
                   6453:   /*-------- arguments in the command line --------*/
                   6454: 
1.186     brouard  6455:   /* Main Log file */
1.126     brouard  6456:   strcat(filelog, optionfilefiname);
                   6457:   strcat(filelog,".log");    /* */
                   6458:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   6459:     printf("Problem with logfile %s\n",filelog);
                   6460:     goto end;
                   6461:   }
                   6462:   fprintf(ficlog,"Log filename:%s\n",filelog);
1.197     brouard  6463:   fprintf(ficlog,"Version %s %s",version,fullversion);
1.126     brouard  6464:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   6465:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   6466:  path=%s \n\
                   6467:  optionfile=%s\n\
                   6468:  optionfilext=%s\n\
1.156     brouard  6469:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  6470: 
1.197     brouard  6471:   syscompilerinfo(1);
1.167     brouard  6472: 
1.126     brouard  6473:   printf("Local time (at start):%s",strstart);
                   6474:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   6475:   fflush(ficlog);
                   6476: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  6477: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  6478: 
                   6479:   /* */
                   6480:   strcpy(fileres,"r");
                   6481:   strcat(fileres, optionfilefiname);
                   6482:   strcat(fileres,".txt");    /* Other files have txt extension */
                   6483: 
1.186     brouard  6484:   /* Main ---------arguments file --------*/
1.126     brouard  6485: 
                   6486:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  6487:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   6488:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  6489:     fflush(ficlog);
1.149     brouard  6490:     /* goto end; */
                   6491:     exit(70); 
1.126     brouard  6492:   }
                   6493: 
                   6494: 
                   6495: 
                   6496:   strcpy(filereso,"o");
                   6497:   strcat(filereso,fileres);
                   6498:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   6499:     printf("Problem with Output resultfile: %s\n", filereso);
                   6500:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   6501:     fflush(ficlog);
                   6502:     goto end;
                   6503:   }
                   6504: 
                   6505:   /* Reads comments: lines beginning with '#' */
                   6506:   numlinepar=0;
1.197     brouard  6507: 
                   6508:     /* First parameter line */
                   6509:   while(fgets(line, MAXLINE, ficpar)) {
                   6510:     /* If line starts with a # it is a comment */
                   6511:     if (line[0] == '#') {
                   6512:       numlinepar++;
                   6513:       fputs(line,stdout);
                   6514:       fputs(line,ficparo);
                   6515:       fputs(line,ficlog);
                   6516:       continue;
                   6517:     }else
                   6518:       break;
                   6519:   }
                   6520:   if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                   6521:                        title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
                   6522:     if (num_filled != 5) {
                   6523:       printf("Should be 5 parameters\n");
                   6524:     }
1.126     brouard  6525:     numlinepar++;
1.197     brouard  6526:     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   6527:   }
                   6528:   /* Second parameter line */
                   6529:   while(fgets(line, MAXLINE, ficpar)) {
                   6530:     /* If line starts with a # it is a comment */
                   6531:     if (line[0] == '#') {
                   6532:       numlinepar++;
                   6533:       fputs(line,stdout);
                   6534:       fputs(line,ficparo);
                   6535:       fputs(line,ficlog);
                   6536:       continue;
                   6537:     }else
                   6538:       break;
                   6539:   }
                   6540:   if((num_filled=sscanf(line,"ftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n", \
                   6541:                        &ftol, &stepm, &ncovcol, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
                   6542:     if (num_filled != 8) {
                   6543:       printf("Not 8\n");
                   6544:     }
                   6545:     printf("ftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n",ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt);
1.126     brouard  6546:   }
                   6547: 
1.197     brouard  6548:   /* Third parameter line */
                   6549:   while(fgets(line, MAXLINE, ficpar)) {
                   6550:     /* If line starts with a # it is a comment */
                   6551:     if (line[0] == '#') {
                   6552:       numlinepar++;
                   6553:       fputs(line,stdout);
                   6554:       fputs(line,ficparo);
                   6555:       fputs(line,ficlog);
                   6556:       continue;
                   6557:     }else
                   6558:       break;
                   6559:   }
                   6560:   if((num_filled=sscanf(line,"model=1+age%[^.\n]\n", model)) !=EOF){
                   6561:     if (num_filled != 1) {
                   6562:       printf("ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   6563:       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   6564:       model[0]='\0';
                   6565:       goto end;
                   6566:     }
                   6567:     else{
                   6568:       if (model[0]=='+'){
                   6569:        for(i=1; i<=strlen(model);i++)
                   6570:          modeltemp[i-1]=model[i];
                   6571:       }
                   6572:       strcpy(model,modeltemp); 
                   6573:     }
                   6574:     printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout);
                   6575:   }
                   6576:   /* 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); */
                   6577:   /* numlinepar=numlinepar+3; /\* In general *\/ */
                   6578:   /* 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); */
1.187     brouard  6579:   if(model[strlen(model)-1]=='.') /* Suppressing leading dot in the model */
                   6580:     model[strlen(model)-1]='\0';
1.197     brouard  6581:   fprintf(ficparo,"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);
                   6582:   fprintf(ficlog,"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);
1.126     brouard  6583:   fflush(ficlog);
1.190     brouard  6584:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   6585:   if(model[0]=='#'){
1.187     brouard  6586:     printf("Error in 'model' line: model should start with 'model=1+age+' and end with '.' \n \
                   6587:  'model=1+age+.' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age.' or \n \
                   6588:  'model=1+age+V1+V2.' or 'model=1+age+V1+V2+V1*V2.' etc. \n");         \
                   6589:     if(mle != -1){
                   6590:       printf("Fix the model line and run imach with mle=-1 to get a correct template of the parameter file.\n");
                   6591:       exit(1);
                   6592:     }
                   6593:   }
1.126     brouard  6594:   while((c=getc(ficpar))=='#' && c!= EOF){
                   6595:     ungetc(c,ficpar);
                   6596:     fgets(line, MAXLINE, ficpar);
                   6597:     numlinepar++;
1.195     brouard  6598:     if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
                   6599:       z[0]=line[1];
                   6600:     }
                   6601:     /* printf("****line [1] = %c \n",line[1]); */
1.141     brouard  6602:     fputs(line, stdout);
                   6603:     //puts(line);
1.126     brouard  6604:     fputs(line,ficparo);
                   6605:     fputs(line,ficlog);
                   6606:   }
                   6607:   ungetc(c,ficpar);
                   6608: 
                   6609:    
1.145     brouard  6610:   covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
1.136     brouard  6611:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   6612:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   6613:      v1+v2*age+v2*v3 makes cptcovn = 3
                   6614:   */
                   6615:   if (strlen(model)>1) 
1.187     brouard  6616:     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  6617:   else
1.187     brouard  6618:     ncovmodel=2; /* Constant and age */
1.133     brouard  6619:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   6620:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  6621:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   6622:     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);
                   6623:     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);
                   6624:     fflush(stdout);
                   6625:     fclose (ficlog);
                   6626:     goto end;
                   6627:   }
1.126     brouard  6628:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   6629:   delti=delti3[1][1];
                   6630:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   6631:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
                   6632:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191     brouard  6633:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
                   6634:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  6635:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   6636:     fclose (ficparo);
                   6637:     fclose (ficlog);
                   6638:     goto end;
                   6639:     exit(0);
                   6640:   }
1.186     brouard  6641:   else if(mle==-3) { /* Main Wizard */
1.126     brouard  6642:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.192     brouard  6643:     printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   6644:     fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  6645:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   6646:     matcov=matrix(1,npar,1,npar);
                   6647:   }
                   6648:   else{
1.145     brouard  6649:     /* Read guessed parameters */
1.126     brouard  6650:     /* Reads comments: lines beginning with '#' */
                   6651:     while((c=getc(ficpar))=='#' && c!= EOF){
                   6652:       ungetc(c,ficpar);
                   6653:       fgets(line, MAXLINE, ficpar);
                   6654:       numlinepar++;
1.141     brouard  6655:       fputs(line,stdout);
1.126     brouard  6656:       fputs(line,ficparo);
                   6657:       fputs(line,ficlog);
                   6658:     }
                   6659:     ungetc(c,ficpar);
                   6660:     
                   6661:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   6662:     for(i=1; i <=nlstate; i++){
                   6663:       j=0;
                   6664:       for(jj=1; jj <=nlstate+ndeath; jj++){
                   6665:        if(jj==i) continue;
                   6666:        j++;
                   6667:        fscanf(ficpar,"%1d%1d",&i1,&j1);
1.193     brouard  6668:        if ((i1 != i) || (j1 != jj)){
1.126     brouard  6669:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
                   6670: It might be a problem of design; if ncovcol and the model are correct\n \
                   6671: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
                   6672:          exit(1);
                   6673:        }
                   6674:        fprintf(ficparo,"%1d%1d",i1,j1);
                   6675:        if(mle==1)
1.193     brouard  6676:          printf("%1d%1d",i,jj);
                   6677:        fprintf(ficlog,"%1d%1d",i,jj);
1.126     brouard  6678:        for(k=1; k<=ncovmodel;k++){
                   6679:          fscanf(ficpar," %lf",&param[i][j][k]);
                   6680:          if(mle==1){
                   6681:            printf(" %lf",param[i][j][k]);
                   6682:            fprintf(ficlog," %lf",param[i][j][k]);
                   6683:          }
                   6684:          else
                   6685:            fprintf(ficlog," %lf",param[i][j][k]);
                   6686:          fprintf(ficparo," %lf",param[i][j][k]);
                   6687:        }
                   6688:        fscanf(ficpar,"\n");
                   6689:        numlinepar++;
                   6690:        if(mle==1)
                   6691:          printf("\n");
                   6692:        fprintf(ficlog,"\n");
                   6693:        fprintf(ficparo,"\n");
                   6694:       }
                   6695:     }  
                   6696:     fflush(ficlog);
                   6697: 
1.145     brouard  6698:     /* Reads scales values */
1.126     brouard  6699:     p=param[1][1];
                   6700:     
                   6701:     /* Reads comments: lines beginning with '#' */
                   6702:     while((c=getc(ficpar))=='#' && c!= EOF){
                   6703:       ungetc(c,ficpar);
                   6704:       fgets(line, MAXLINE, ficpar);
                   6705:       numlinepar++;
1.141     brouard  6706:       fputs(line,stdout);
1.126     brouard  6707:       fputs(line,ficparo);
                   6708:       fputs(line,ficlog);
                   6709:     }
                   6710:     ungetc(c,ficpar);
                   6711: 
                   6712:     for(i=1; i <=nlstate; i++){
                   6713:       for(j=1; j <=nlstate+ndeath-1; j++){
                   6714:        fscanf(ficpar,"%1d%1d",&i1,&j1);
1.164     brouard  6715:        if ( (i1-i) * (j1-j) != 0){
1.126     brouard  6716:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   6717:          exit(1);
                   6718:        }
                   6719:        printf("%1d%1d",i,j);
                   6720:        fprintf(ficparo,"%1d%1d",i1,j1);
                   6721:        fprintf(ficlog,"%1d%1d",i1,j1);
                   6722:        for(k=1; k<=ncovmodel;k++){
                   6723:          fscanf(ficpar,"%le",&delti3[i][j][k]);
                   6724:          printf(" %le",delti3[i][j][k]);
                   6725:          fprintf(ficparo," %le",delti3[i][j][k]);
                   6726:          fprintf(ficlog," %le",delti3[i][j][k]);
                   6727:        }
                   6728:        fscanf(ficpar,"\n");
                   6729:        numlinepar++;
                   6730:        printf("\n");
                   6731:        fprintf(ficparo,"\n");
                   6732:        fprintf(ficlog,"\n");
                   6733:       }
                   6734:     }
                   6735:     fflush(ficlog);
                   6736: 
1.145     brouard  6737:     /* Reads covariance matrix */
1.126     brouard  6738:     delti=delti3[1][1];
                   6739: 
                   6740: 
                   6741:     /* free_ma3x(delti3,1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */ /* Hasn't to to freed here otherwise delti is no more allocated */
                   6742:   
                   6743:     /* Reads comments: lines beginning with '#' */
                   6744:     while((c=getc(ficpar))=='#' && c!= EOF){
                   6745:       ungetc(c,ficpar);
                   6746:       fgets(line, MAXLINE, ficpar);
                   6747:       numlinepar++;
1.141     brouard  6748:       fputs(line,stdout);
1.126     brouard  6749:       fputs(line,ficparo);
                   6750:       fputs(line,ficlog);
                   6751:     }
                   6752:     ungetc(c,ficpar);
                   6753:   
                   6754:     matcov=matrix(1,npar,1,npar);
1.131     brouard  6755:     for(i=1; i <=npar; i++)
                   6756:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
                   6757:       
1.194     brouard  6758:     /* Scans npar lines */
1.126     brouard  6759:     for(i=1; i <=npar; i++){
1.194     brouard  6760:       count=fscanf(ficpar,"%1d%1d%1d",&i1,&j1,&jk);
                   6761:       if(count != 3){
                   6762:        printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
                   6763: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   6764: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
                   6765:        fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
                   6766: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   6767: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
                   6768:        exit(1);
                   6769:       }else
1.126     brouard  6770:       if(mle==1)
1.194     brouard  6771:        printf("%1d%1d%1d",i1,j1,jk);
                   6772:       fprintf(ficlog,"%1d%1d%1d",i1,j1,jk);
                   6773:       fprintf(ficparo,"%1d%1d%1d",i1,j1,jk);
1.126     brouard  6774:       for(j=1; j <=i; j++){
                   6775:        fscanf(ficpar," %le",&matcov[i][j]);
                   6776:        if(mle==1){
                   6777:          printf(" %.5le",matcov[i][j]);
                   6778:        }
                   6779:        fprintf(ficlog," %.5le",matcov[i][j]);
                   6780:        fprintf(ficparo," %.5le",matcov[i][j]);
                   6781:       }
                   6782:       fscanf(ficpar,"\n");
                   6783:       numlinepar++;
                   6784:       if(mle==1)
                   6785:        printf("\n");
                   6786:       fprintf(ficlog,"\n");
                   6787:       fprintf(ficparo,"\n");
                   6788:     }
1.194     brouard  6789:     /* End of read covariance matrix npar lines */
1.126     brouard  6790:     for(i=1; i <=npar; i++)
                   6791:       for(j=i+1;j<=npar;j++)
                   6792:        matcov[i][j]=matcov[j][i];
                   6793:     
                   6794:     if(mle==1)
                   6795:       printf("\n");
                   6796:     fprintf(ficlog,"\n");
                   6797:     
                   6798:     fflush(ficlog);
                   6799:     
                   6800:     /*-------- Rewriting parameter file ----------*/
                   6801:     strcpy(rfileres,"r");    /* "Rparameterfile */
                   6802:     strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
                   6803:     strcat(rfileres,".");    /* */
                   6804:     strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   6805:     if((ficres =fopen(rfileres,"w"))==NULL) {
                   6806:       printf("Problem writing new parameter file: %s\n", fileres);goto end;
                   6807:       fprintf(ficlog,"Problem writing new parameter file: %s\n", fileres);goto end;
                   6808:     }
                   6809:     fprintf(ficres,"#%s\n",version);
                   6810:   }    /* End of mle != -3 */
                   6811: 
1.186     brouard  6812:   /*  Main data
                   6813:    */
1.126     brouard  6814:   n= lastobs;
                   6815:   num=lvector(1,n);
                   6816:   moisnais=vector(1,n);
                   6817:   annais=vector(1,n);
                   6818:   moisdc=vector(1,n);
                   6819:   andc=vector(1,n);
                   6820:   agedc=vector(1,n);
                   6821:   cod=ivector(1,n);
                   6822:   weight=vector(1,n);
                   6823:   for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */
                   6824:   mint=matrix(1,maxwav,1,n);
                   6825:   anint=matrix(1,maxwav,1,n);
1.131     brouard  6826:   s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  6827:   tab=ivector(1,NCOVMAX);
1.144     brouard  6828:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.192     brouard  6829:   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  6830: 
1.136     brouard  6831:   /* Reads data from file datafile */
                   6832:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   6833:     goto end;
                   6834: 
                   6835:   /* Calculation of the number of parameters from char model */
1.137     brouard  6836:     /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
                   6837:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   6838:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   6839:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   6840:        k=1 Tvar[1]=2 (from V2)
                   6841:     */
                   6842:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
                   6843:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   6844:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   6845:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   6846:   */
                   6847:   /* For model-covariate k tells which data-covariate to use but
                   6848:     because this model-covariate is a construction we invent a new column
                   6849:     ncovcol + k1
                   6850:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   6851:     Tvar[3=V1*V4]=4+1 etc */
1.145     brouard  6852:   Tprod=ivector(1,NCOVMAX); /* Gives the position of a product */
1.137     brouard  6853:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   6854:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
                   6855:   */
1.145     brouard  6856:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   6857:   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  6858:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   6859:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  6860:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  6861:                         4 covariates (3 plus signs)
                   6862:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   6863:                      */  
1.136     brouard  6864: 
1.186     brouard  6865: /* Main decodemodel */
                   6866: 
1.187     brouard  6867: 
1.136     brouard  6868:   if(decodemodel(model, lastobs) == 1)
                   6869:     goto end;
                   6870: 
1.137     brouard  6871:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   6872:     nbwarn++;
                   6873:     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); 
                   6874:     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); 
                   6875:   }
1.136     brouard  6876:     /*  if(mle==1){*/
1.137     brouard  6877:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   6878:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  6879:   }
                   6880: 
                   6881:     /*-calculation of age at interview from date of interview and age at death -*/
                   6882:   agev=matrix(1,maxwav,1,imx);
                   6883: 
                   6884:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   6885:     goto end;
                   6886: 
1.126     brouard  6887: 
1.136     brouard  6888:   agegomp=(int)agemin;
                   6889:   free_vector(moisnais,1,n);
                   6890:   free_vector(annais,1,n);
1.126     brouard  6891:   /* free_matrix(mint,1,maxwav,1,n);
                   6892:      free_matrix(anint,1,maxwav,1,n);*/
                   6893:   free_vector(moisdc,1,n);
                   6894:   free_vector(andc,1,n);
1.145     brouard  6895:   /* */
                   6896:   
1.126     brouard  6897:   wav=ivector(1,imx);
                   6898:   dh=imatrix(1,lastpass-firstpass+1,1,imx);
                   6899:   bh=imatrix(1,lastpass-firstpass+1,1,imx);
                   6900:   mw=imatrix(1,lastpass-firstpass+1,1,imx);
                   6901:    
                   6902:   /* Concatenates waves */
                   6903:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.145     brouard  6904:   /* */
                   6905:  
1.126     brouard  6906:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   6907: 
                   6908:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   6909:   ncodemax[1]=1;
1.145     brouard  6910:   Ndum =ivector(-1,NCOVMAX);  
1.187     brouard  6911:   if (ncovmodel-nagesqr > 2 ) /* That is if covariate other than cst, age and age*age */
1.145     brouard  6912:     tricode(Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
1.186     brouard  6913:   /* Nbcode gives the value of the lth modality of jth covariate, in
                   6914:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
                   6915:   /* 1 to ncodemax[j] is the maximum value of this jth covariate */
1.145     brouard  6916: 
                   6917:   codtab=imatrix(1,100,1,10); /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
1.198   ! brouard  6918:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
1.186     brouard  6919:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.145     brouard  6920:   h=0;
                   6921: 
                   6922: 
                   6923:   /*if (cptcovn > 0) */
1.126     brouard  6924:       
1.145     brouard  6925:  
1.126     brouard  6926:   m=pow(2,cptcoveff);
                   6927:  
1.144     brouard  6928:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.186     brouard  6929:           * For k=4 covariates, h goes from 1 to 2**k
                   6930:           * codtabm(h,k)=  1 & (h-1) >> (k-1) ;
                   6931:           *     h\k   1     2     3     4
1.143     brouard  6932:           *______________________________  
                   6933:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   6934:           *     2     2     1     1     1
                   6935:           *     3 i=2 1     2     1     1
                   6936:           *     4     2     2     1     1
                   6937:           *     5 i=3 1 i=2 1     2     1
                   6938:           *     6     2     1     2     1
                   6939:           *     7 i=4 1     2     2     1
                   6940:           *     8     2     2     2     1
1.197     brouard  6941:           *     9 i=5 1 i=3 1 i=2 1     2
                   6942:           *    10     2     1     1     2
                   6943:           *    11 i=6 1     2     1     2
                   6944:           *    12     2     2     1     2
                   6945:           *    13 i=7 1 i=4 1     2     2    
                   6946:           *    14     2     1     2     2
                   6947:           *    15 i=8 1     2     2     2
                   6948:           *    16     2     2     2     2
1.143     brouard  6949:           */
1.197     brouard  6950:   for(h=1; h <=100 ;h++){ 
                   6951:     /* printf("h=%2d ", h); */
                   6952:      for(k=1; k <=10; k++){
                   6953:        /* printf("k=%d %d ",k,codtabm(h,k)); */
                   6954:        codtab[h][k]=codtabm(h,k);
                   6955:      }
                   6956:      /* printf("\n"); */
                   6957:   }
                   6958:   /* for(k=1;k<=cptcoveff; k++){ /\* scans any effective covariate *\/ */
                   6959:   /*   for(i=1; i <=pow(2,cptcoveff-k);i++){ /\* i=1 to 8/1=8; i=1 to 8/2=4; i=1 to 8/8=1 *\/  */
                   6960:   /*     for(j=1; j <= ncodemax[k]; j++){ /\* For each modality of this covariate ncodemax=2*\/ */
                   6961:   /*   for(cpt=1; cpt <=pow(2,k-1); cpt++){  /\* cpt=1 to 8/2**(3+1-1 or 3+1-3) =1 or 4 *\/  */
                   6962:   /*     h++; */
                   6963:   /*     if (h>m)  */
                   6964:   /*       h=1; */
                   6965:   /*     codtab[h][k]=j; */
                   6966:   /*     /\* codtab[12][3]=1; *\/ */
                   6967:   /*     /\*codtab[h][Tvar[k]]=j;*\/ */
                   6968:   /*     /\* printf("h=%d k=%d j=%d codtab[h][k]=%d Tvar[k]=%d codtab[h][Tvar[k]]=%d \n",h, k,j,codtab[h][k],Tvar[k],codtab[h][Tvar[k]]); *\/ */
                   6969:   /*   }  */
                   6970:   /*     } */
                   6971:   /*   } */
                   6972:   /* }  */
1.126     brouard  6973:   /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]); 
                   6974:      codtab[1][2]=1;codtab[2][2]=2; */
1.197     brouard  6975:   /* for(i=1; i <=m ;i++){  */
                   6976:   /*    for(k=1; k <=cptcovn; k++){ */
                   6977:   /*      printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff); */
                   6978:   /*    } */
                   6979:   /*    printf("\n"); */
                   6980:   /* } */
                   6981:   /*   scanf("%d",i);*/
1.145     brouard  6982: 
                   6983:  free_ivector(Ndum,-1,NCOVMAX);
                   6984: 
                   6985: 
1.126     brouard  6986:     
1.186     brouard  6987:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  6988:   strcpy(optionfilegnuplot,optionfilefiname);
                   6989:   if(mle==-3)
                   6990:     strcat(optionfilegnuplot,"-mort");
                   6991:   strcat(optionfilegnuplot,".gp");
                   6992: 
                   6993:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   6994:     printf("Problem with file %s",optionfilegnuplot);
                   6995:   }
                   6996:   else{
                   6997:     fprintf(ficgp,"\n# %s\n", version); 
                   6998:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  6999:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   7000:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  7001:   }
                   7002:   /*  fclose(ficgp);*/
1.186     brouard  7003: 
                   7004: 
                   7005:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  7006: 
                   7007:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   7008:   if(mle==-3)
                   7009:     strcat(optionfilehtm,"-mort");
                   7010:   strcat(optionfilehtm,".htm");
                   7011:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  7012:     printf("Problem with %s \n",optionfilehtm);
                   7013:     exit(0);
1.126     brouard  7014:   }
                   7015: 
                   7016:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   7017:   strcat(optionfilehtmcov,"-cov.htm");
                   7018:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   7019:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   7020:   }
                   7021:   else{
                   7022:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   7023: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   7024: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n",\
                   7025:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   7026:   }
                   7027: 
                   7028:   fprintf(fichtm,"<html><head>\n<title>IMaCh %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   7029: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   7030: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n\
                   7031: \n\
                   7032: <hr  size=\"2\" color=\"#EC5E5E\">\
                   7033:  <ul><li><h4>Parameter files</h4>\n\
                   7034:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   7035:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   7036:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   7037:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   7038:  - Date and time at start: %s</ul>\n",\
                   7039:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   7040:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   7041:          fileres,fileres,\
                   7042:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   7043:   fflush(fichtm);
                   7044: 
                   7045:   strcpy(pathr,path);
                   7046:   strcat(pathr,optionfilefiname);
1.184     brouard  7047: #ifdef WIN32
                   7048:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   7049: #else
1.126     brouard  7050:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  7051: #endif
                   7052:          
1.126     brouard  7053:   
                   7054:   /* Calculates basic frequencies. Computes observed prevalence at single age
                   7055:      and prints on file fileres'p'. */
                   7056:   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart);
                   7057: 
                   7058:   fprintf(fichtm,"\n");
                   7059:   fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
                   7060: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   7061: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
                   7062:          imx,agemin,agemax,jmin,jmax,jmean);
                   7063:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7064:     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7065:     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7066:     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7067:     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
                   7068:     
                   7069:    
                   7070:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   7071:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   7072:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   7073: 
                   7074:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  7075:   /* For mortality only */
1.126     brouard  7076:   if (mle==-3){
1.136     brouard  7077:     ximort=matrix(1,NDIM,1,NDIM); 
1.186     brouard  7078:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.126     brouard  7079:     cens=ivector(1,n);
                   7080:     ageexmed=vector(1,n);
                   7081:     agecens=vector(1,n);
                   7082:     dcwave=ivector(1,n);
                   7083:  
                   7084:     for (i=1; i<=imx; i++){
                   7085:       dcwave[i]=-1;
                   7086:       for (m=firstpass; m<=lastpass; m++)
                   7087:        if (s[m][i]>nlstate) {
                   7088:          dcwave[i]=m;
                   7089:          /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
                   7090:          break;
                   7091:        }
                   7092:     }
                   7093: 
                   7094:     for (i=1; i<=imx; i++) {
                   7095:       if (wav[i]>0){
                   7096:        ageexmed[i]=agev[mw[1][i]][i];
                   7097:        j=wav[i];
                   7098:        agecens[i]=1.; 
                   7099: 
                   7100:        if (ageexmed[i]> 1 && wav[i] > 0){
                   7101:          agecens[i]=agev[mw[j][i]][i];
                   7102:          cens[i]= 1;
                   7103:        }else if (ageexmed[i]< 1) 
                   7104:          cens[i]= -1;
                   7105:        if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
                   7106:          cens[i]=0 ;
                   7107:       }
                   7108:       else cens[i]=-1;
                   7109:     }
                   7110:     
                   7111:     for (i=1;i<=NDIM;i++) {
                   7112:       for (j=1;j<=NDIM;j++)
                   7113:        ximort[i][j]=(i == j ? 1.0 : 0.0);
                   7114:     }
                   7115:     
1.145     brouard  7116:     /*p[1]=0.0268; p[NDIM]=0.083;*/
1.126     brouard  7117:     /*printf("%lf %lf", p[1], p[2]);*/
                   7118:     
                   7119:     
1.136     brouard  7120: #ifdef GSL
                   7121:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  7122: #else
1.126     brouard  7123:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  7124: #endif
1.126     brouard  7125:     strcpy(filerespow,"pow-mort"); 
                   7126:     strcat(filerespow,fileres);
                   7127:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   7128:       printf("Problem with resultfile: %s\n", filerespow);
                   7129:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   7130:     }
1.136     brouard  7131: #ifdef GSL
                   7132:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  7133: #else
1.126     brouard  7134:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  7135: #endif
1.126     brouard  7136:     /*  for (i=1;i<=nlstate;i++)
                   7137:        for(j=1;j<=nlstate+ndeath;j++)
                   7138:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   7139:     */
                   7140:     fprintf(ficrespow,"\n");
1.136     brouard  7141: #ifdef GSL
                   7142:     /* gsl starts here */ 
                   7143:     T = gsl_multimin_fminimizer_nmsimplex;
                   7144:     gsl_multimin_fminimizer *sfm = NULL;
                   7145:     gsl_vector *ss, *x;
                   7146:     gsl_multimin_function minex_func;
                   7147: 
                   7148:     /* Initial vertex size vector */
                   7149:     ss = gsl_vector_alloc (NDIM);
                   7150:     
                   7151:     if (ss == NULL){
                   7152:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   7153:     }
                   7154:     /* Set all step sizes to 1 */
                   7155:     gsl_vector_set_all (ss, 0.001);
                   7156: 
                   7157:     /* Starting point */
1.126     brouard  7158:     
1.136     brouard  7159:     x = gsl_vector_alloc (NDIM);
                   7160:     
                   7161:     if (x == NULL){
                   7162:       gsl_vector_free(ss);
                   7163:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   7164:     }
                   7165:   
                   7166:     /* Initialize method and iterate */
                   7167:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  7168:     /*     gsl_vector_set(x, 0, 0.0268); */
                   7169:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  7170:     gsl_vector_set(x, 0, p[1]);
                   7171:     gsl_vector_set(x, 1, p[2]);
                   7172: 
                   7173:     minex_func.f = &gompertz_f;
                   7174:     minex_func.n = NDIM;
                   7175:     minex_func.params = (void *)&p; /* ??? */
                   7176:     
                   7177:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   7178:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   7179:     
                   7180:     printf("Iterations beginning .....\n\n");
                   7181:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   7182: 
                   7183:     iteri=0;
                   7184:     while (rval == GSL_CONTINUE){
                   7185:       iteri++;
                   7186:       status = gsl_multimin_fminimizer_iterate(sfm);
                   7187:       
                   7188:       if (status) printf("error: %s\n", gsl_strerror (status));
                   7189:       fflush(0);
                   7190:       
                   7191:       if (status) 
                   7192:         break;
                   7193:       
                   7194:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   7195:       ssval = gsl_multimin_fminimizer_size (sfm);
                   7196:       
                   7197:       if (rval == GSL_SUCCESS)
                   7198:         printf ("converged to a local maximum at\n");
                   7199:       
                   7200:       printf("%5d ", iteri);
                   7201:       for (it = 0; it < NDIM; it++){
                   7202:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   7203:       }
                   7204:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   7205:     }
                   7206:     
                   7207:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   7208:     
                   7209:     gsl_vector_free(x); /* initial values */
                   7210:     gsl_vector_free(ss); /* inital step size */
                   7211:     for (it=0; it<NDIM; it++){
                   7212:       p[it+1]=gsl_vector_get(sfm->x,it);
                   7213:       fprintf(ficrespow," %.12lf", p[it]);
                   7214:     }
                   7215:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   7216: #endif
                   7217: #ifdef POWELL
                   7218:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   7219: #endif  
1.126     brouard  7220:     fclose(ficrespow);
                   7221:     
                   7222:     hesscov(matcov, p, NDIM, delti, 1e-4, gompertz); 
                   7223: 
                   7224:     for(i=1; i <=NDIM; i++)
                   7225:       for(j=i+1;j<=NDIM;j++)
                   7226:        matcov[i][j]=matcov[j][i];
                   7227:     
                   7228:     printf("\nCovariance matrix\n ");
                   7229:     for(i=1; i <=NDIM; i++) {
                   7230:       for(j=1;j<=NDIM;j++){ 
                   7231:        printf("%f ",matcov[i][j]);
                   7232:       }
                   7233:       printf("\n ");
                   7234:     }
                   7235:     
                   7236:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
1.193     brouard  7237:     for (i=1;i<=NDIM;i++) {
1.126     brouard  7238:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.193     brouard  7239:       fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   7240:     }
1.126     brouard  7241:     lsurv=vector(1,AGESUP);
                   7242:     lpop=vector(1,AGESUP);
                   7243:     tpop=vector(1,AGESUP);
                   7244:     lsurv[agegomp]=100000;
                   7245:     
                   7246:     for (k=agegomp;k<=AGESUP;k++) {
                   7247:       agemortsup=k;
                   7248:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   7249:     }
                   7250:     
                   7251:     for (k=agegomp;k<agemortsup;k++)
                   7252:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   7253:     
                   7254:     for (k=agegomp;k<agemortsup;k++){
                   7255:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   7256:       sumlpop=sumlpop+lpop[k];
                   7257:     }
                   7258:     
                   7259:     tpop[agegomp]=sumlpop;
                   7260:     for (k=agegomp;k<(agemortsup-3);k++){
                   7261:       /*  tpop[k+1]=2;*/
                   7262:       tpop[k+1]=tpop[k]-lpop[k];
                   7263:     }
                   7264:     
                   7265:     
                   7266:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   7267:     for (k=agegomp;k<(agemortsup-2);k++) 
                   7268:       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]);
                   7269:     
                   7270:     
                   7271:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  7272:     if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
                   7273:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   7274: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   7275: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   7276:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   7277: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   7278: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   7279:     }else
                   7280:       printinggnuplotmort(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
1.126     brouard  7281:     printinghtmlmort(fileres,title,datafile, firstpass, lastpass, \
                   7282:                     stepm, weightopt,\
                   7283:                     model,imx,p,matcov,agemortsup);
                   7284:     
                   7285:     free_vector(lsurv,1,AGESUP);
                   7286:     free_vector(lpop,1,AGESUP);
                   7287:     free_vector(tpop,1,AGESUP);
1.136     brouard  7288: #ifdef GSL
                   7289:     free_ivector(cens,1,n);
                   7290:     free_vector(agecens,1,n);
                   7291:     free_ivector(dcwave,1,n);
                   7292:     free_matrix(ximort,1,NDIM,1,NDIM);
                   7293: #endif
1.186     brouard  7294:   } /* Endof if mle==-3 mortality only */
                   7295:   /* Standard maximisation */
1.126     brouard  7296:   else{ /* For mle >=1 */
1.132     brouard  7297:     globpr=0;/* debug */
1.186     brouard  7298:     /* Computes likelihood for initial parameters */
1.132     brouard  7299:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  7300:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   7301:     for (k=1; k<=npar;k++)
                   7302:       printf(" %d %8.5f",k,p[k]);
                   7303:     printf("\n");
1.186     brouard  7304:     globpr=1; /* again, to print the contributions */
1.126     brouard  7305:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   7306:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   7307:     for (k=1; k<=npar;k++)
                   7308:       printf(" %d %8.5f",k,p[k]);
                   7309:     printf("\n");
1.186     brouard  7310:     if(mle>=1){ /* Could be 1 or 2, Real Maximisation */
1.126     brouard  7311:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
                   7312:     }
                   7313:     
                   7314:     /*--------- results files --------------*/
1.192     brouard  7315:     fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle= 0 weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate, ndeath, maxwav, weightopt,model);
1.126     brouard  7316:     
                   7317:     
                   7318:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7319:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7320:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7321:     for(i=1,jk=1; i <=nlstate; i++){
                   7322:       for(k=1; k <=(nlstate+ndeath); k++){
                   7323:        if (k != i) {
                   7324:          printf("%d%d ",i,k);
                   7325:          fprintf(ficlog,"%d%d ",i,k);
                   7326:          fprintf(ficres,"%1d%1d ",i,k);
                   7327:          for(j=1; j <=ncovmodel; j++){
1.190     brouard  7328:            printf("%12.7f ",p[jk]);
                   7329:            fprintf(ficlog,"%12.7f ",p[jk]);
                   7330:            fprintf(ficres,"%12.7f ",p[jk]);
1.126     brouard  7331:            jk++; 
                   7332:          }
                   7333:          printf("\n");
                   7334:          fprintf(ficlog,"\n");
                   7335:          fprintf(ficres,"\n");
                   7336:        }
                   7337:       }
                   7338:     }
                   7339:     if(mle!=0){
                   7340:       /* Computing hessian and covariance matrix */
                   7341:       ftolhess=ftol; /* Usually correct */
                   7342:       hesscov(matcov, p, npar, delti, ftolhess, func);
                   7343:     }
1.197     brouard  7344:     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");
                   7345:     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");
1.193     brouard  7346:     for(i=1,jk=1; i <=nlstate; i++){
                   7347:       for(k=1; k <=(nlstate+ndeath); k++){
                   7348:        if (k != i) {
                   7349:          printf("%d%d ",i,k);
                   7350:          fprintf(ficlog,"%d%d ",i,k);
                   7351:          for(j=1; j <=ncovmodel; j++){
1.197     brouard  7352:            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]));
                   7353:            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]));
1.193     brouard  7354:            jk++; 
                   7355:          }
                   7356:          printf("\n");
                   7357:          fprintf(ficlog,"\n");
                   7358:        }
                   7359:       }
                   7360:     }
                   7361: 
1.126     brouard  7362:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   7363:     printf("# Scales (for hessian or gradient estimation)\n");
                   7364:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   7365:     for(i=1,jk=1; i <=nlstate; i++){
                   7366:       for(j=1; j <=nlstate+ndeath; j++){
                   7367:        if (j!=i) {
                   7368:          fprintf(ficres,"%1d%1d",i,j);
                   7369:          printf("%1d%1d",i,j);
                   7370:          fprintf(ficlog,"%1d%1d",i,j);
                   7371:          for(k=1; k<=ncovmodel;k++){
                   7372:            printf(" %.5e",delti[jk]);
                   7373:            fprintf(ficlog," %.5e",delti[jk]);
                   7374:            fprintf(ficres," %.5e",delti[jk]);
                   7375:            jk++;
                   7376:          }
                   7377:          printf("\n");
                   7378:          fprintf(ficlog,"\n");
                   7379:          fprintf(ficres,"\n");
                   7380:        }
                   7381:       }
                   7382:     }
                   7383:     
                   7384:     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");
                   7385:     if(mle>=1)
                   7386:       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");
                   7387:     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");
                   7388:     /* # 121 Var(a12)\n\ */
                   7389:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   7390:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   7391:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   7392:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   7393:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   7394:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   7395:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   7396:     
                   7397:     
                   7398:     /* Just to have a covariance matrix which will be more understandable
                   7399:        even is we still don't want to manage dictionary of variables
                   7400:     */
                   7401:     for(itimes=1;itimes<=2;itimes++){
                   7402:       jj=0;
                   7403:       for(i=1; i <=nlstate; i++){
                   7404:        for(j=1; j <=nlstate+ndeath; j++){
                   7405:          if(j==i) continue;
                   7406:          for(k=1; k<=ncovmodel;k++){
                   7407:            jj++;
                   7408:            ca[0]= k+'a'-1;ca[1]='\0';
                   7409:            if(itimes==1){
                   7410:              if(mle>=1)
                   7411:                printf("#%1d%1d%d",i,j,k);
                   7412:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
                   7413:              fprintf(ficres,"#%1d%1d%d",i,j,k);
                   7414:            }else{
                   7415:              if(mle>=1)
                   7416:                printf("%1d%1d%d",i,j,k);
                   7417:              fprintf(ficlog,"%1d%1d%d",i,j,k);
                   7418:              fprintf(ficres,"%1d%1d%d",i,j,k);
                   7419:            }
                   7420:            ll=0;
                   7421:            for(li=1;li <=nlstate; li++){
                   7422:              for(lj=1;lj <=nlstate+ndeath; lj++){
                   7423:                if(lj==li) continue;
                   7424:                for(lk=1;lk<=ncovmodel;lk++){
                   7425:                  ll++;
                   7426:                  if(ll<=jj){
                   7427:                    cb[0]= lk +'a'-1;cb[1]='\0';
                   7428:                    if(ll<jj){
                   7429:                      if(itimes==1){
                   7430:                        if(mle>=1)
                   7431:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7432:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7433:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7434:                      }else{
                   7435:                        if(mle>=1)
                   7436:                          printf(" %.5e",matcov[jj][ll]); 
                   7437:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   7438:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   7439:                      }
                   7440:                    }else{
                   7441:                      if(itimes==1){
                   7442:                        if(mle>=1)
                   7443:                          printf(" Var(%s%1d%1d)",ca,i,j);
                   7444:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                   7445:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                   7446:                      }else{
                   7447:                        if(mle>=1)
                   7448:                          printf(" %.5e",matcov[jj][ll]); 
                   7449:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   7450:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   7451:                      }
                   7452:                    }
                   7453:                  }
                   7454:                } /* end lk */
                   7455:              } /* end lj */
                   7456:            } /* end li */
                   7457:            if(mle>=1)
                   7458:              printf("\n");
                   7459:            fprintf(ficlog,"\n");
                   7460:            fprintf(ficres,"\n");
                   7461:            numlinepar++;
                   7462:          } /* end k*/
                   7463:        } /*end j */
                   7464:       } /* end i */
                   7465:     } /* end itimes */
                   7466:     
                   7467:     fflush(ficlog);
                   7468:     fflush(ficres);
                   7469:     
                   7470:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7471:       ungetc(c,ficpar);
                   7472:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7473:       fputs(line,stdout);
1.126     brouard  7474:       fputs(line,ficparo);
                   7475:     }
                   7476:     ungetc(c,ficpar);
                   7477:     
                   7478:     estepm=0;
                   7479:     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);
                   7480:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   7481:     if (fage <= 2) {
                   7482:       bage = ageminpar;
                   7483:       fage = agemaxpar;
                   7484:     }
                   7485:     
                   7486:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
                   7487:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
                   7488:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
1.186     brouard  7489: 
                   7490:     /* Other stuffs, more or less useful */    
1.126     brouard  7491:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7492:       ungetc(c,ficpar);
                   7493:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7494:       fputs(line,stdout);
1.126     brouard  7495:       fputs(line,ficparo);
                   7496:     }
                   7497:     ungetc(c,ficpar);
                   7498:     
                   7499:     fscanf(ficpar,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf mov_average=%d\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2,&mobilav);
                   7500:     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);
                   7501:     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);
                   7502:     printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   7503:     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);
                   7504:     
                   7505:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7506:       ungetc(c,ficpar);
                   7507:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7508:       fputs(line,stdout);
1.126     brouard  7509:       fputs(line,ficparo);
                   7510:     }
                   7511:     ungetc(c,ficpar);
                   7512:     
                   7513:     
                   7514:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   7515:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   7516:     
                   7517:     fscanf(ficpar,"pop_based=%d\n",&popbased);
1.193     brouard  7518:     fprintf(ficlog,"pop_based=%d\n",popbased);
1.126     brouard  7519:     fprintf(ficparo,"pop_based=%d\n",popbased);   
                   7520:     fprintf(ficres,"pop_based=%d\n",popbased);   
                   7521:     
                   7522:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7523:       ungetc(c,ficpar);
                   7524:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7525:       fputs(line,stdout);
1.126     brouard  7526:       fputs(line,ficparo);
                   7527:     }
                   7528:     ungetc(c,ficpar);
                   7529:     
                   7530:     fscanf(ficpar,"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);
                   7531:     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);
                   7532:     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);
                   7533:     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);
                   7534:     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);
                   7535:     /* day and month of proj2 are not used but only year anproj2.*/
                   7536:     
                   7537:     
                   7538:     
1.145     brouard  7539:      /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
                   7540:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  7541:     
                   7542:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  7543:     if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
                   7544:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   7545: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   7546: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   7547:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   7548: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   7549: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   7550:     }else
                   7551:       printinggnuplot(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
1.126     brouard  7552:     
                   7553:     printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,\
                   7554:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,\
                   7555:                 jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);
                   7556:       
                   7557:    /*------------ free_vector  -------------*/
                   7558:    /*  chdir(path); */
                   7559:  
                   7560:     free_ivector(wav,1,imx);
                   7561:     free_imatrix(dh,1,lastpass-firstpass+1,1,imx);
                   7562:     free_imatrix(bh,1,lastpass-firstpass+1,1,imx);
                   7563:     free_imatrix(mw,1,lastpass-firstpass+1,1,imx);   
                   7564:     free_lvector(num,1,n);
                   7565:     free_vector(agedc,1,n);
                   7566:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   7567:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   7568:     fclose(ficparo);
                   7569:     fclose(ficres);
                   7570: 
                   7571: 
1.186     brouard  7572:     /* Other results (useful)*/
                   7573: 
                   7574: 
1.126     brouard  7575:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  7576:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   7577:     prlim=matrix(1,nlstate,1,nlstate);
                   7578:     prevalence_limit(p, prlim,  ageminpar, agemaxpar);
1.126     brouard  7579:     fclose(ficrespl);
                   7580: 
1.145     brouard  7581: #ifdef FREEEXIT2
                   7582: #include "freeexit2.h"
                   7583: #endif
                   7584: 
1.126     brouard  7585:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  7586:     /*#include "hpijx.h"*/
                   7587:     hPijx(p, bage, fage);
1.145     brouard  7588:     fclose(ficrespij);
1.126     brouard  7589: 
1.145     brouard  7590:   /*-------------- Variance of one-step probabilities---*/
                   7591:     k=1;
1.126     brouard  7592:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
                   7593: 
                   7594: 
                   7595:     probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   7596:     for(i=1;i<=AGESUP;i++)
                   7597:       for(j=1;j<=NCOVMAX;j++)
                   7598:        for(k=1;k<=NCOVMAX;k++)
                   7599:          probs[i][j][k]=0.;
                   7600: 
                   7601:     /*---------- Forecasting ------------------*/
                   7602:     /*if((stepm == 1) && (strcmp(model,".")==0)){*/
                   7603:     if(prevfcast==1){
                   7604:       /*    if(stepm ==1){*/
                   7605:       prevforecast(fileres, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
                   7606:       /* (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);*/
                   7607:       /*      }  */
                   7608:       /*      else{ */
                   7609:       /*        erreur=108; */
                   7610:       /*        printf("Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */
                   7611:       /*        fprintf(ficlog,"Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */
                   7612:       /*      } */
                   7613:     }
1.186     brouard  7614:  
                   7615:     /* ------ Other prevalence ratios------------ */
1.126     brouard  7616: 
1.127     brouard  7617:     /* Computes prevalence between agemin (i.e minimal age computed) and no more ageminpar */
                   7618: 
                   7619:     prevalence(probs, agemin, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   7620:     /*  printf("ageminpar=%f, agemax=%f, s[lastpass][imx]=%d, agev[lastpass][imx]=%f, nlstate=%d, imx=%d,  mint[lastpass][imx]=%f, anint[lastpass][imx]=%f,dateprev1=%f, dateprev2=%f, firstpass=%d, lastpass=%d\n",\
                   7621:        ageminpar, agemax, s[lastpass][imx], agev[lastpass][imx], nlstate, imx, mint[lastpass][imx],anint[lastpass][imx], dateprev1, dateprev2, firstpass, lastpass);
                   7622:     */
1.126     brouard  7623: 
1.127     brouard  7624:     if (mobilav!=0) {
                   7625:       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   7626:       if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
                   7627:        fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   7628:        printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   7629:       }
1.126     brouard  7630:     }
                   7631: 
                   7632: 
1.127     brouard  7633:     /*---------- Health expectancies, no variances ------------*/
                   7634: 
1.126     brouard  7635:     strcpy(filerese,"e");
                   7636:     strcat(filerese,fileres);
                   7637:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   7638:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   7639:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   7640:     }
                   7641:     printf("Computing Health Expectancies: result on file '%s' \n", filerese);
                   7642:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' \n", filerese);
1.145     brouard  7643:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   7644:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   7645:           
                   7646:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.127     brouard  7647:        fprintf(ficreseij,"\n#****** ");
                   7648:        for(j=1;j<=cptcoveff;j++) {
                   7649:          fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   7650:        }
                   7651:        fprintf(ficreseij,"******\n");
                   7652: 
                   7653:        eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   7654:        oldm=oldms;savm=savms;
                   7655:        evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart);  
                   7656:       
                   7657:        free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.145     brouard  7658:       /*}*/
1.127     brouard  7659:     }
                   7660:     fclose(ficreseij);
                   7661: 
                   7662: 
                   7663:     /*---------- Health expectancies and variances ------------*/
                   7664: 
                   7665: 
                   7666:     strcpy(filerest,"t");
                   7667:     strcat(filerest,fileres);
                   7668:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   7669:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   7670:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   7671:     }
                   7672:     printf("Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); 
                   7673:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); 
                   7674: 
1.126     brouard  7675: 
                   7676:     strcpy(fileresstde,"stde");
                   7677:     strcat(fileresstde,fileres);
                   7678:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
                   7679:       printf("Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   7680:       fprintf(ficlog,"Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   7681:     }
                   7682:     printf("Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   7683:     fprintf(ficlog,"Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   7684: 
                   7685:     strcpy(filerescve,"cve");
                   7686:     strcat(filerescve,fileres);
                   7687:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
                   7688:       printf("Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
                   7689:       fprintf(ficlog,"Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
                   7690:     }
                   7691:     printf("Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
                   7692:     fprintf(ficlog,"Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
                   7693: 
                   7694:     strcpy(fileresv,"v");
                   7695:     strcat(fileresv,fileres);
                   7696:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   7697:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   7698:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   7699:     }
                   7700:     printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
                   7701:     fprintf(ficlog,"Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
                   7702: 
1.145     brouard  7703:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   7704:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   7705:           
                   7706:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   7707:        fprintf(ficrest,"\n#****** ");
1.126     brouard  7708:        for(j=1;j<=cptcoveff;j++) 
                   7709:          fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   7710:        fprintf(ficrest,"******\n");
                   7711: 
                   7712:        fprintf(ficresstdeij,"\n#****** ");
                   7713:        fprintf(ficrescveij,"\n#****** ");
                   7714:        for(j=1;j<=cptcoveff;j++) {
                   7715:          fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   7716:          fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   7717:        }
                   7718:        fprintf(ficresstdeij,"******\n");
                   7719:        fprintf(ficrescveij,"******\n");
                   7720: 
                   7721:        fprintf(ficresvij,"\n#****** ");
                   7722:        for(j=1;j<=cptcoveff;j++) 
                   7723:          fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   7724:        fprintf(ficresvij,"******\n");
                   7725: 
                   7726:        eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   7727:        oldm=oldms;savm=savms;
1.127     brouard  7728:        cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);  
1.145     brouard  7729:        /*
                   7730:         */
                   7731:        /* goto endfree; */
1.126     brouard  7732:  
                   7733:        vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   7734:        pstamp(ficrest);
1.145     brouard  7735: 
                   7736: 
1.128     brouard  7737:        for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.145     brouard  7738:          oldm=oldms;savm=savms; /* Segmentation fault */
1.161     brouard  7739:          cptcod= 0; /* To be deleted */
                   7740:          varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,vpopbased,mobilav, strstart); /* cptcod not initialized Intel */
1.145     brouard  7741:          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 ");
1.128     brouard  7742:          if(vpopbased==1)
                   7743:            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);
                   7744:          else
                   7745:            fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
                   7746:          fprintf(ficrest,"# Age e.. (std) ");
                   7747:          for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
                   7748:          fprintf(ficrest,"\n");
1.126     brouard  7749: 
1.128     brouard  7750:          epj=vector(1,nlstate+1);
                   7751:          for(age=bage; age <=fage ;age++){
                   7752:            prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
                   7753:            if (vpopbased==1) {
                   7754:              if(mobilav ==0){
                   7755:                for(i=1; i<=nlstate;i++)
                   7756:                  prlim[i][i]=probs[(int)age][i][k];
                   7757:              }else{ /* mobilav */ 
                   7758:                for(i=1; i<=nlstate;i++)
                   7759:                  prlim[i][i]=mobaverage[(int)age][i][k];
                   7760:              }
1.126     brouard  7761:            }
                   7762:        
1.128     brouard  7763:            fprintf(ficrest," %4.0f",age);
                   7764:            for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                   7765:              for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   7766:                epj[j] += prlim[i][i]*eij[i][j][(int)age];
                   7767:                /*  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   7768:              }
                   7769:              epj[nlstate+1] +=epj[j];
1.126     brouard  7770:            }
                   7771: 
1.128     brouard  7772:            for(i=1, vepp=0.;i <=nlstate;i++)
                   7773:              for(j=1;j <=nlstate;j++)
                   7774:                vepp += vareij[i][j][(int)age];
                   7775:            fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
                   7776:            for(j=1;j <=nlstate;j++){
                   7777:              fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
                   7778:            }
                   7779:            fprintf(ficrest,"\n");
1.126     brouard  7780:          }
                   7781:        }
                   7782:        free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   7783:        free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   7784:        free_vector(epj,1,nlstate+1);
1.145     brouard  7785:       /*}*/
1.126     brouard  7786:     }
                   7787:     free_vector(weight,1,n);
1.145     brouard  7788:     free_imatrix(Tvard,1,NCOVMAX,1,2);
1.126     brouard  7789:     free_imatrix(s,1,maxwav+1,1,n);
                   7790:     free_matrix(anint,1,maxwav,1,n); 
                   7791:     free_matrix(mint,1,maxwav,1,n);
                   7792:     free_ivector(cod,1,n);
                   7793:     free_ivector(tab,1,NCOVMAX);
                   7794:     fclose(ficresstdeij);
                   7795:     fclose(ficrescveij);
                   7796:     fclose(ficresvij);
                   7797:     fclose(ficrest);
                   7798:     fclose(ficpar);
                   7799:   
                   7800:     /*------- Variance of period (stable) prevalence------*/   
                   7801: 
                   7802:     strcpy(fileresvpl,"vpl");
                   7803:     strcat(fileresvpl,fileres);
                   7804:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
                   7805:       printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
                   7806:       exit(0);
                   7807:     }
                   7808:     printf("Computing Variance-covariance of period (stable) prevalence: file '%s' \n", fileresvpl);
                   7809: 
1.145     brouard  7810:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   7811:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   7812:           
                   7813:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   7814:        fprintf(ficresvpl,"\n#****** ");
1.126     brouard  7815:        for(j=1;j<=cptcoveff;j++) 
                   7816:          fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   7817:        fprintf(ficresvpl,"******\n");
                   7818:       
                   7819:        varpl=matrix(1,nlstate,(int) bage, (int) fage);
                   7820:        oldm=oldms;savm=savms;
                   7821:        varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k,strstart);
                   7822:        free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
1.145     brouard  7823:       /*}*/
1.126     brouard  7824:     }
                   7825: 
                   7826:     fclose(ficresvpl);
                   7827: 
                   7828:     /*---------- End : free ----------------*/
                   7829:     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   7830:     free_ma3x(probs,1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   7831:   }  /* mle==-3 arrives here for freeing */
1.164     brouard  7832:  /* endfree:*/
1.141     brouard  7833:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
1.126     brouard  7834:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
                   7835:     free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   7836:     free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   7837:     free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   7838:     free_matrix(covar,0,NCOVMAX,1,n);
                   7839:     free_matrix(matcov,1,npar,1,npar);
                   7840:     /*free_vector(delti,1,npar);*/
                   7841:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   7842:     free_matrix(agev,1,maxwav,1,imx);
                   7843:     free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   7844: 
1.145     brouard  7845:     free_ivector(ncodemax,1,NCOVMAX);
1.192     brouard  7846:     free_ivector(ncodemaxwundef,1,NCOVMAX);
1.145     brouard  7847:     free_ivector(Tvar,1,NCOVMAX);
                   7848:     free_ivector(Tprod,1,NCOVMAX);
                   7849:     free_ivector(Tvaraff,1,NCOVMAX);
                   7850:     free_ivector(Tage,1,NCOVMAX);
1.126     brouard  7851: 
                   7852:     free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
                   7853:     free_imatrix(codtab,1,100,1,10);
                   7854:   fflush(fichtm);
                   7855:   fflush(ficgp);
                   7856:   
                   7857: 
                   7858:   if((nberr >0) || (nbwarn>0)){
                   7859:     printf("End of Imach with %d errors and/or %d warnings\n",nberr,nbwarn);
                   7860:     fprintf(ficlog,"End of Imach with %d errors and/or warnings %d\n",nberr,nbwarn);
                   7861:   }else{
                   7862:     printf("End of Imach\n");
                   7863:     fprintf(ficlog,"End of Imach\n");
                   7864:   }
                   7865:   printf("See log file on %s\n",filelog);
                   7866:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  7867:   /*(void) gettimeofday(&end_time,&tzp);*/
                   7868:   rend_time = time(NULL);  
                   7869:   end_time = *localtime(&rend_time);
                   7870:   /* tml = *localtime(&end_time.tm_sec); */
                   7871:   strcpy(strtend,asctime(&end_time));
1.126     brouard  7872:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   7873:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  7874:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.126     brouard  7875: 
1.157     brouard  7876:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   7877:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   7878:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  7879:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   7880: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   7881:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   7882:   fclose(fichtm);
                   7883:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   7884:   fclose(fichtmcov);
                   7885:   fclose(ficgp);
                   7886:   fclose(ficlog);
                   7887:   /*------ End -----------*/
                   7888: 
                   7889: 
                   7890:    printf("Before Current directory %s!\n",pathcd);
1.184     brouard  7891: #ifdef WIN32
                   7892:    if (_chdir(pathcd) != 0)
                   7893:           printf("Can't move to directory %s!\n",path);
                   7894:    if(_getcwd(pathcd,MAXLINE) > 0)
                   7895: #else
1.126     brouard  7896:    if(chdir(pathcd) != 0)
1.184     brouard  7897:           printf("Can't move to directory %s!\n", path);
                   7898:    if (getcwd(pathcd, MAXLINE) > 0)
                   7899: #endif 
1.126     brouard  7900:     printf("Current directory %s!\n",pathcd);
                   7901:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   7902:   sprintf(plotcmd,"gnuplot");
1.157     brouard  7903: #ifdef _WIN32
1.126     brouard  7904:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   7905: #endif
                   7906:   if(!stat(plotcmd,&info)){
1.158     brouard  7907:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  7908:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  7909:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  7910:     }else
                   7911:       strcpy(pplotcmd,plotcmd);
1.157     brouard  7912: #ifdef __unix
1.126     brouard  7913:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   7914:     if(!stat(plotcmd,&info)){
1.158     brouard  7915:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  7916:     }else
                   7917:       strcpy(pplotcmd,plotcmd);
                   7918: #endif
                   7919:   }else
                   7920:     strcpy(pplotcmd,plotcmd);
                   7921:   
                   7922:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  7923:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  7924: 
                   7925:   if((outcmd=system(plotcmd)) != 0){
1.158     brouard  7926:     printf("gnuplot command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  7927:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  7928:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.150     brouard  7929:     if((outcmd=system(plotcmd)) != 0)
1.153     brouard  7930:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.126     brouard  7931:   }
1.158     brouard  7932:   printf(" Successful, please wait...");
1.126     brouard  7933:   while (z[0] != 'q') {
                   7934:     /* chdir(path); */
1.154     brouard  7935:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  7936:     scanf("%s",z);
                   7937: /*     if (z[0] == 'c') system("./imach"); */
                   7938:     if (z[0] == 'e') {
1.158     brouard  7939: #ifdef __APPLE__
1.152     brouard  7940:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  7941: #elif __linux
                   7942:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  7943: #else
1.152     brouard  7944:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  7945: #endif
                   7946:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   7947:       system(pplotcmd);
1.126     brouard  7948:     }
                   7949:     else if (z[0] == 'g') system(plotcmd);
                   7950:     else if (z[0] == 'q') exit(0);
                   7951:   }
                   7952:   end:
                   7953:   while (z[0] != 'q') {
1.195     brouard  7954:     printf("\nType  q for exiting: "); fflush(stdout);
1.126     brouard  7955:     scanf("%s",z);
                   7956:   }
                   7957: }

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