Annotation of imach/src/imach.c, revision 1.191

1.191   ! brouard     1: /* $Id: imach.c,v 1.190 2015/05/05 08:51:13 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.191   ! brouard     4:   Revision 1.190  2015/05/05 08:51:13  brouard
        !             5:   Summary: Adding digits in output parameters (7 digits instead of 6)
        !             6: 
        !             7:   Fix 1+age+.
        !             8: 
1.190     brouard     9:   Revision 1.189  2015/04/30 14:45:16  brouard
                     10:   Summary: 0.98q2
                     11: 
1.189     brouard    12:   Revision 1.188  2015/04/30 08:27:53  brouard
                     13:   *** empty log message ***
                     14: 
1.188     brouard    15:   Revision 1.187  2015/04/29 09:11:15  brouard
                     16:   *** empty log message ***
                     17: 
1.187     brouard    18:   Revision 1.186  2015/04/23 12:01:52  brouard
                     19:   Summary: V1*age is working now, version 0.98q1
                     20: 
                     21:   Some codes had been disabled in order to simplify and Vn*age was
                     22:   working in the optimization phase, ie, giving correct MLE parameters,
                     23:   but, as usual, outputs were not correct and program core dumped.
                     24: 
1.186     brouard    25:   Revision 1.185  2015/03/11 13:26:42  brouard
                     26:   Summary: Inclusion of compile and links command line for Intel Compiler
                     27: 
1.185     brouard    28:   Revision 1.184  2015/03/11 11:52:39  brouard
                     29:   Summary: Back from Windows 8. Intel Compiler
                     30: 
1.184     brouard    31:   Revision 1.183  2015/03/10 20:34:32  brouard
                     32:   Summary: 0.98q0, trying with directest, mnbrak fixed
                     33: 
                     34:   We use directest instead of original Powell test; probably no
                     35:   incidence on the results, but better justifications;
                     36:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                     37:   wrong results.
                     38: 
1.183     brouard    39:   Revision 1.182  2015/02/12 08:19:57  brouard
                     40:   Summary: Trying to keep directest which seems simpler and more general
                     41:   Author: Nicolas Brouard
                     42: 
1.182     brouard    43:   Revision 1.181  2015/02/11 23:22:24  brouard
                     44:   Summary: Comments on Powell added
                     45: 
                     46:   Author:
                     47: 
1.181     brouard    48:   Revision 1.180  2015/02/11 17:33:45  brouard
                     49:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                     50: 
1.180     brouard    51:   Revision 1.179  2015/01/04 09:57:06  brouard
                     52:   Summary: back to OS/X
                     53: 
1.179     brouard    54:   Revision 1.178  2015/01/04 09:35:48  brouard
                     55:   *** empty log message ***
                     56: 
1.178     brouard    57:   Revision 1.177  2015/01/03 18:40:56  brouard
                     58:   Summary: Still testing ilc32 on OSX
                     59: 
1.177     brouard    60:   Revision 1.176  2015/01/03 16:45:04  brouard
                     61:   *** empty log message ***
                     62: 
1.176     brouard    63:   Revision 1.175  2015/01/03 16:33:42  brouard
                     64:   *** empty log message ***
                     65: 
1.175     brouard    66:   Revision 1.174  2015/01/03 16:15:49  brouard
                     67:   Summary: Still in cross-compilation
                     68: 
1.174     brouard    69:   Revision 1.173  2015/01/03 12:06:26  brouard
                     70:   Summary: trying to detect cross-compilation
                     71: 
1.173     brouard    72:   Revision 1.172  2014/12/27 12:07:47  brouard
                     73:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                     74: 
1.172     brouard    75:   Revision 1.171  2014/12/23 13:26:59  brouard
                     76:   Summary: Back from Visual C
                     77: 
                     78:   Still problem with utsname.h on Windows
                     79: 
1.171     brouard    80:   Revision 1.170  2014/12/23 11:17:12  brouard
                     81:   Summary: Cleaning some \%% back to %%
                     82: 
                     83:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                     84: 
1.170     brouard    85:   Revision 1.169  2014/12/22 23:08:31  brouard
                     86:   Summary: 0.98p
                     87: 
                     88:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                     89: 
1.169     brouard    90:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard    91:   Summary: update
1.169     brouard    92: 
1.168     brouard    93:   Revision 1.167  2014/12/22 13:50:56  brouard
                     94:   Summary: Testing uname and compiler version and if compiled 32 or 64
                     95: 
                     96:   Testing on Linux 64
                     97: 
1.167     brouard    98:   Revision 1.166  2014/12/22 11:40:47  brouard
                     99:   *** empty log message ***
                    100: 
1.166     brouard   101:   Revision 1.165  2014/12/16 11:20:36  brouard
                    102:   Summary: After compiling on Visual C
                    103: 
                    104:   * imach.c (Module): Merging 1.61 to 1.162
                    105: 
1.165     brouard   106:   Revision 1.164  2014/12/16 10:52:11  brouard
                    107:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    108: 
                    109:   * imach.c (Module): Merging 1.61 to 1.162
                    110: 
1.164     brouard   111:   Revision 1.163  2014/12/16 10:30:11  brouard
                    112:   * imach.c (Module): Merging 1.61 to 1.162
                    113: 
1.163     brouard   114:   Revision 1.162  2014/09/25 11:43:39  brouard
                    115:   Summary: temporary backup 0.99!
                    116: 
1.162     brouard   117:   Revision 1.1  2014/09/16 11:06:58  brouard
                    118:   Summary: With some code (wrong) for nlopt
                    119: 
                    120:   Author:
                    121: 
                    122:   Revision 1.161  2014/09/15 20:41:41  brouard
                    123:   Summary: Problem with macro SQR on Intel compiler
                    124: 
1.161     brouard   125:   Revision 1.160  2014/09/02 09:24:05  brouard
                    126:   *** empty log message ***
                    127: 
1.160     brouard   128:   Revision 1.159  2014/09/01 10:34:10  brouard
                    129:   Summary: WIN32
                    130:   Author: Brouard
                    131: 
1.159     brouard   132:   Revision 1.158  2014/08/27 17:11:51  brouard
                    133:   *** empty log message ***
                    134: 
1.158     brouard   135:   Revision 1.157  2014/08/27 16:26:55  brouard
                    136:   Summary: Preparing windows Visual studio version
                    137:   Author: Brouard
                    138: 
                    139:   In order to compile on Visual studio, time.h is now correct and time_t
                    140:   and tm struct should be used. difftime should be used but sometimes I
                    141:   just make the differences in raw time format (time(&now).
                    142:   Trying to suppress #ifdef LINUX
                    143:   Add xdg-open for __linux in order to open default browser.
                    144: 
1.157     brouard   145:   Revision 1.156  2014/08/25 20:10:10  brouard
                    146:   *** empty log message ***
                    147: 
1.156     brouard   148:   Revision 1.155  2014/08/25 18:32:34  brouard
                    149:   Summary: New compile, minor changes
                    150:   Author: Brouard
                    151: 
1.155     brouard   152:   Revision 1.154  2014/06/20 17:32:08  brouard
                    153:   Summary: Outputs now all graphs of convergence to period prevalence
                    154: 
1.154     brouard   155:   Revision 1.153  2014/06/20 16:45:46  brouard
                    156:   Summary: If 3 live state, convergence to period prevalence on same graph
                    157:   Author: Brouard
                    158: 
1.153     brouard   159:   Revision 1.152  2014/06/18 17:54:09  brouard
                    160:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    161: 
1.152     brouard   162:   Revision 1.151  2014/06/18 16:43:30  brouard
                    163:   *** empty log message ***
                    164: 
1.151     brouard   165:   Revision 1.150  2014/06/18 16:42:35  brouard
                    166:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    167:   Author: brouard
                    168: 
1.150     brouard   169:   Revision 1.149  2014/06/18 15:51:14  brouard
                    170:   Summary: Some fixes in parameter files errors
                    171:   Author: Nicolas Brouard
                    172: 
1.149     brouard   173:   Revision 1.148  2014/06/17 17:38:48  brouard
                    174:   Summary: Nothing new
                    175:   Author: Brouard
                    176: 
                    177:   Just a new packaging for OS/X version 0.98nS
                    178: 
1.148     brouard   179:   Revision 1.147  2014/06/16 10:33:11  brouard
                    180:   *** empty log message ***
                    181: 
1.147     brouard   182:   Revision 1.146  2014/06/16 10:20:28  brouard
                    183:   Summary: Merge
                    184:   Author: Brouard
                    185: 
                    186:   Merge, before building revised version.
                    187: 
1.146     brouard   188:   Revision 1.145  2014/06/10 21:23:15  brouard
                    189:   Summary: Debugging with valgrind
                    190:   Author: Nicolas Brouard
                    191: 
                    192:   Lot of changes in order to output the results with some covariates
                    193:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    194:   improve the code.
                    195:   No more memory valgrind error but a lot has to be done in order to
                    196:   continue the work of splitting the code into subroutines.
                    197:   Also, decodemodel has been improved. Tricode is still not
                    198:   optimal. nbcode should be improved. Documentation has been added in
                    199:   the source code.
                    200: 
1.144     brouard   201:   Revision 1.143  2014/01/26 09:45:38  brouard
                    202:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    203: 
                    204:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    205:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    206: 
1.143     brouard   207:   Revision 1.142  2014/01/26 03:57:36  brouard
                    208:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    209: 
                    210:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    211: 
1.142     brouard   212:   Revision 1.141  2014/01/26 02:42:01  brouard
                    213:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    214: 
1.141     brouard   215:   Revision 1.140  2011/09/02 10:37:54  brouard
                    216:   Summary: times.h is ok with mingw32 now.
                    217: 
1.140     brouard   218:   Revision 1.139  2010/06/14 07:50:17  brouard
                    219:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    220:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    221: 
1.139     brouard   222:   Revision 1.138  2010/04/30 18:19:40  brouard
                    223:   *** empty log message ***
                    224: 
1.138     brouard   225:   Revision 1.137  2010/04/29 18:11:38  brouard
                    226:   (Module): Checking covariates for more complex models
                    227:   than V1+V2. A lot of change to be done. Unstable.
                    228: 
1.137     brouard   229:   Revision 1.136  2010/04/26 20:30:53  brouard
                    230:   (Module): merging some libgsl code. Fixing computation
                    231:   of likelione (using inter/intrapolation if mle = 0) in order to
                    232:   get same likelihood as if mle=1.
                    233:   Some cleaning of code and comments added.
                    234: 
1.136     brouard   235:   Revision 1.135  2009/10/29 15:33:14  brouard
                    236:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    237: 
1.135     brouard   238:   Revision 1.134  2009/10/29 13:18:53  brouard
                    239:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    240: 
1.134     brouard   241:   Revision 1.133  2009/07/06 10:21:25  brouard
                    242:   just nforces
                    243: 
1.133     brouard   244:   Revision 1.132  2009/07/06 08:22:05  brouard
                    245:   Many tings
                    246: 
1.132     brouard   247:   Revision 1.131  2009/06/20 16:22:47  brouard
                    248:   Some dimensions resccaled
                    249: 
1.131     brouard   250:   Revision 1.130  2009/05/26 06:44:34  brouard
                    251:   (Module): Max Covariate is now set to 20 instead of 8. A
                    252:   lot of cleaning with variables initialized to 0. Trying to make
                    253:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    254: 
1.130     brouard   255:   Revision 1.129  2007/08/31 13:49:27  lievre
                    256:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    257: 
1.129     lievre    258:   Revision 1.128  2006/06/30 13:02:05  brouard
                    259:   (Module): Clarifications on computing e.j
                    260: 
1.128     brouard   261:   Revision 1.127  2006/04/28 18:11:50  brouard
                    262:   (Module): Yes the sum of survivors was wrong since
                    263:   imach-114 because nhstepm was no more computed in the age
                    264:   loop. Now we define nhstepma in the age loop.
                    265:   (Module): In order to speed up (in case of numerous covariates) we
                    266:   compute health expectancies (without variances) in a first step
                    267:   and then all the health expectancies with variances or standard
                    268:   deviation (needs data from the Hessian matrices) which slows the
                    269:   computation.
                    270:   In the future we should be able to stop the program is only health
                    271:   expectancies and graph are needed without standard deviations.
                    272: 
1.127     brouard   273:   Revision 1.126  2006/04/28 17:23:28  brouard
                    274:   (Module): Yes the sum of survivors was wrong since
                    275:   imach-114 because nhstepm was no more computed in the age
                    276:   loop. Now we define nhstepma in the age loop.
                    277:   Version 0.98h
                    278: 
1.126     brouard   279:   Revision 1.125  2006/04/04 15:20:31  lievre
                    280:   Errors in calculation of health expectancies. Age was not initialized.
                    281:   Forecasting file added.
                    282: 
                    283:   Revision 1.124  2006/03/22 17:13:53  lievre
                    284:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    285:   The log-likelihood is printed in the log file
                    286: 
                    287:   Revision 1.123  2006/03/20 10:52:43  brouard
                    288:   * imach.c (Module): <title> changed, corresponds to .htm file
                    289:   name. <head> headers where missing.
                    290: 
                    291:   * imach.c (Module): Weights can have a decimal point as for
                    292:   English (a comma might work with a correct LC_NUMERIC environment,
                    293:   otherwise the weight is truncated).
                    294:   Modification of warning when the covariates values are not 0 or
                    295:   1.
                    296:   Version 0.98g
                    297: 
                    298:   Revision 1.122  2006/03/20 09:45:41  brouard
                    299:   (Module): Weights can have a decimal point as for
                    300:   English (a comma might work with a correct LC_NUMERIC environment,
                    301:   otherwise the weight is truncated).
                    302:   Modification of warning when the covariates values are not 0 or
                    303:   1.
                    304:   Version 0.98g
                    305: 
                    306:   Revision 1.121  2006/03/16 17:45:01  lievre
                    307:   * imach.c (Module): Comments concerning covariates added
                    308: 
                    309:   * imach.c (Module): refinements in the computation of lli if
                    310:   status=-2 in order to have more reliable computation if stepm is
                    311:   not 1 month. Version 0.98f
                    312: 
                    313:   Revision 1.120  2006/03/16 15:10:38  lievre
                    314:   (Module): refinements in the computation of lli if
                    315:   status=-2 in order to have more reliable computation if stepm is
                    316:   not 1 month. Version 0.98f
                    317: 
                    318:   Revision 1.119  2006/03/15 17:42:26  brouard
                    319:   (Module): Bug if status = -2, the loglikelihood was
                    320:   computed as likelihood omitting the logarithm. Version O.98e
                    321: 
                    322:   Revision 1.118  2006/03/14 18:20:07  brouard
                    323:   (Module): varevsij Comments added explaining the second
                    324:   table of variances if popbased=1 .
                    325:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    326:   (Module): Function pstamp added
                    327:   (Module): Version 0.98d
                    328: 
                    329:   Revision 1.117  2006/03/14 17:16:22  brouard
                    330:   (Module): varevsij Comments added explaining the second
                    331:   table of variances if popbased=1 .
                    332:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    333:   (Module): Function pstamp added
                    334:   (Module): Version 0.98d
                    335: 
                    336:   Revision 1.116  2006/03/06 10:29:27  brouard
                    337:   (Module): Variance-covariance wrong links and
                    338:   varian-covariance of ej. is needed (Saito).
                    339: 
                    340:   Revision 1.115  2006/02/27 12:17:45  brouard
                    341:   (Module): One freematrix added in mlikeli! 0.98c
                    342: 
                    343:   Revision 1.114  2006/02/26 12:57:58  brouard
                    344:   (Module): Some improvements in processing parameter
                    345:   filename with strsep.
                    346: 
                    347:   Revision 1.113  2006/02/24 14:20:24  brouard
                    348:   (Module): Memory leaks checks with valgrind and:
                    349:   datafile was not closed, some imatrix were not freed and on matrix
                    350:   allocation too.
                    351: 
                    352:   Revision 1.112  2006/01/30 09:55:26  brouard
                    353:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    354: 
                    355:   Revision 1.111  2006/01/25 20:38:18  brouard
                    356:   (Module): Lots of cleaning and bugs added (Gompertz)
                    357:   (Module): Comments can be added in data file. Missing date values
                    358:   can be a simple dot '.'.
                    359: 
                    360:   Revision 1.110  2006/01/25 00:51:50  brouard
                    361:   (Module): Lots of cleaning and bugs added (Gompertz)
                    362: 
                    363:   Revision 1.109  2006/01/24 19:37:15  brouard
                    364:   (Module): Comments (lines starting with a #) are allowed in data.
                    365: 
                    366:   Revision 1.108  2006/01/19 18:05:42  lievre
                    367:   Gnuplot problem appeared...
                    368:   To be fixed
                    369: 
                    370:   Revision 1.107  2006/01/19 16:20:37  brouard
                    371:   Test existence of gnuplot in imach path
                    372: 
                    373:   Revision 1.106  2006/01/19 13:24:36  brouard
                    374:   Some cleaning and links added in html output
                    375: 
                    376:   Revision 1.105  2006/01/05 20:23:19  lievre
                    377:   *** empty log message ***
                    378: 
                    379:   Revision 1.104  2005/09/30 16:11:43  lievre
                    380:   (Module): sump fixed, loop imx fixed, and simplifications.
                    381:   (Module): If the status is missing at the last wave but we know
                    382:   that the person is alive, then we can code his/her status as -2
                    383:   (instead of missing=-1 in earlier versions) and his/her
                    384:   contributions to the likelihood is 1 - Prob of dying from last
                    385:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    386:   the healthy state at last known wave). Version is 0.98
                    387: 
                    388:   Revision 1.103  2005/09/30 15:54:49  lievre
                    389:   (Module): sump fixed, loop imx fixed, and simplifications.
                    390: 
                    391:   Revision 1.102  2004/09/15 17:31:30  brouard
                    392:   Add the possibility to read data file including tab characters.
                    393: 
                    394:   Revision 1.101  2004/09/15 10:38:38  brouard
                    395:   Fix on curr_time
                    396: 
                    397:   Revision 1.100  2004/07/12 18:29:06  brouard
                    398:   Add version for Mac OS X. Just define UNIX in Makefile
                    399: 
                    400:   Revision 1.99  2004/06/05 08:57:40  brouard
                    401:   *** empty log message ***
                    402: 
                    403:   Revision 1.98  2004/05/16 15:05:56  brouard
                    404:   New version 0.97 . First attempt to estimate force of mortality
                    405:   directly from the data i.e. without the need of knowing the health
                    406:   state at each age, but using a Gompertz model: log u =a + b*age .
                    407:   This is the basic analysis of mortality and should be done before any
                    408:   other analysis, in order to test if the mortality estimated from the
                    409:   cross-longitudinal survey is different from the mortality estimated
                    410:   from other sources like vital statistic data.
                    411: 
                    412:   The same imach parameter file can be used but the option for mle should be -3.
                    413: 
1.133     brouard   414:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   415:   former routines in order to include the new code within the former code.
                    416: 
                    417:   The output is very simple: only an estimate of the intercept and of
                    418:   the slope with 95% confident intervals.
                    419: 
                    420:   Current limitations:
                    421:   A) Even if you enter covariates, i.e. with the
                    422:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    423:   B) There is no computation of Life Expectancy nor Life Table.
                    424: 
                    425:   Revision 1.97  2004/02/20 13:25:42  lievre
                    426:   Version 0.96d. Population forecasting command line is (temporarily)
                    427:   suppressed.
                    428: 
                    429:   Revision 1.96  2003/07/15 15:38:55  brouard
                    430:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    431:   rewritten within the same printf. Workaround: many printfs.
                    432: 
                    433:   Revision 1.95  2003/07/08 07:54:34  brouard
                    434:   * imach.c (Repository):
                    435:   (Repository): Using imachwizard code to output a more meaningful covariance
                    436:   matrix (cov(a12,c31) instead of numbers.
                    437: 
                    438:   Revision 1.94  2003/06/27 13:00:02  brouard
                    439:   Just cleaning
                    440: 
                    441:   Revision 1.93  2003/06/25 16:33:55  brouard
                    442:   (Module): On windows (cygwin) function asctime_r doesn't
                    443:   exist so I changed back to asctime which exists.
                    444:   (Module): Version 0.96b
                    445: 
                    446:   Revision 1.92  2003/06/25 16:30:45  brouard
                    447:   (Module): On windows (cygwin) function asctime_r doesn't
                    448:   exist so I changed back to asctime which exists.
                    449: 
                    450:   Revision 1.91  2003/06/25 15:30:29  brouard
                    451:   * imach.c (Repository): Duplicated warning errors corrected.
                    452:   (Repository): Elapsed time after each iteration is now output. It
                    453:   helps to forecast when convergence will be reached. Elapsed time
                    454:   is stamped in powell.  We created a new html file for the graphs
                    455:   concerning matrix of covariance. It has extension -cov.htm.
                    456: 
                    457:   Revision 1.90  2003/06/24 12:34:15  brouard
                    458:   (Module): Some bugs corrected for windows. Also, when
                    459:   mle=-1 a template is output in file "or"mypar.txt with the design
                    460:   of the covariance matrix to be input.
                    461: 
                    462:   Revision 1.89  2003/06/24 12:30:52  brouard
                    463:   (Module): Some bugs corrected for windows. Also, when
                    464:   mle=-1 a template is output in file "or"mypar.txt with the design
                    465:   of the covariance matrix to be input.
                    466: 
                    467:   Revision 1.88  2003/06/23 17:54:56  brouard
                    468:   * 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.
                    469: 
                    470:   Revision 1.87  2003/06/18 12:26:01  brouard
                    471:   Version 0.96
                    472: 
                    473:   Revision 1.86  2003/06/17 20:04:08  brouard
                    474:   (Module): Change position of html and gnuplot routines and added
                    475:   routine fileappend.
                    476: 
                    477:   Revision 1.85  2003/06/17 13:12:43  brouard
                    478:   * imach.c (Repository): Check when date of death was earlier that
                    479:   current date of interview. It may happen when the death was just
                    480:   prior to the death. In this case, dh was negative and likelihood
                    481:   was wrong (infinity). We still send an "Error" but patch by
                    482:   assuming that the date of death was just one stepm after the
                    483:   interview.
                    484:   (Repository): Because some people have very long ID (first column)
                    485:   we changed int to long in num[] and we added a new lvector for
                    486:   memory allocation. But we also truncated to 8 characters (left
                    487:   truncation)
                    488:   (Repository): No more line truncation errors.
                    489: 
                    490:   Revision 1.84  2003/06/13 21:44:43  brouard
                    491:   * imach.c (Repository): Replace "freqsummary" at a correct
                    492:   place. It differs from routine "prevalence" which may be called
                    493:   many times. Probs is memory consuming and must be used with
                    494:   parcimony.
                    495:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    496: 
                    497:   Revision 1.83  2003/06/10 13:39:11  lievre
                    498:   *** empty log message ***
                    499: 
                    500:   Revision 1.82  2003/06/05 15:57:20  brouard
                    501:   Add log in  imach.c and  fullversion number is now printed.
                    502: 
                    503: */
                    504: /*
                    505:    Interpolated Markov Chain
                    506: 
                    507:   Short summary of the programme:
                    508:   
                    509:   This program computes Healthy Life Expectancies from
                    510:   cross-longitudinal data. Cross-longitudinal data consist in: -1- a
                    511:   first survey ("cross") where individuals from different ages are
                    512:   interviewed on their health status or degree of disability (in the
                    513:   case of a health survey which is our main interest) -2- at least a
                    514:   second wave of interviews ("longitudinal") which measure each change
                    515:   (if any) in individual health status.  Health expectancies are
                    516:   computed from the time spent in each health state according to a
                    517:   model. More health states you consider, more time is necessary to reach the
                    518:   Maximum Likelihood of the parameters involved in the model.  The
                    519:   simplest model is the multinomial logistic model where pij is the
                    520:   probability to be observed in state j at the second wave
                    521:   conditional to be observed in state i at the first wave. Therefore
                    522:   the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where
                    523:   'age' is age and 'sex' is a covariate. If you want to have a more
                    524:   complex model than "constant and age", you should modify the program
                    525:   where the markup *Covariates have to be included here again* invites
                    526:   you to do it.  More covariates you add, slower the
                    527:   convergence.
                    528: 
                    529:   The advantage of this computer programme, compared to a simple
                    530:   multinomial logistic model, is clear when the delay between waves is not
                    531:   identical for each individual. Also, if a individual missed an
                    532:   intermediate interview, the information is lost, but taken into
                    533:   account using an interpolation or extrapolation.  
                    534: 
                    535:   hPijx is the probability to be observed in state i at age x+h
                    536:   conditional to the observed state i at age x. The delay 'h' can be
                    537:   split into an exact number (nh*stepm) of unobserved intermediate
                    538:   states. This elementary transition (by month, quarter,
                    539:   semester or year) is modelled as a multinomial logistic.  The hPx
                    540:   matrix is simply the matrix product of nh*stepm elementary matrices
                    541:   and the contribution of each individual to the likelihood is simply
                    542:   hPijx.
                    543: 
                    544:   Also this programme outputs the covariance matrix of the parameters but also
                    545:   of the life expectancies. It also computes the period (stable) prevalence. 
                    546:   
1.133     brouard   547:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                    548:            Institut national d'études démographiques, Paris.
1.126     brouard   549:   This software have been partly granted by Euro-REVES, a concerted action
                    550:   from the European Union.
                    551:   It is copyrighted identically to a GNU software product, ie programme and
                    552:   software can be distributed freely for non commercial use. Latest version
                    553:   can be accessed at http://euroreves.ined.fr/imach .
                    554: 
                    555:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                    556:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                    557:   
                    558:   **********************************************************************/
                    559: /*
                    560:   main
                    561:   read parameterfile
                    562:   read datafile
                    563:   concatwav
                    564:   freqsummary
                    565:   if (mle >= 1)
                    566:     mlikeli
                    567:   print results files
                    568:   if mle==1 
                    569:      computes hessian
                    570:   read end of parameter file: agemin, agemax, bage, fage, estepm
                    571:       begin-prev-date,...
                    572:   open gnuplot file
                    573:   open html file
1.145     brouard   574:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                    575:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                    576:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                    577:     freexexit2 possible for memory heap.
                    578: 
                    579:   h Pij x                         | pij_nom  ficrestpij
                    580:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                    581:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                    582:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                    583: 
                    584:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                    585:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                    586:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                    587:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                    588:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                    589: 
1.126     brouard   590:   forecasting if prevfcast==1 prevforecast call prevalence()
                    591:   health expectancies
                    592:   Variance-covariance of DFLE
                    593:   prevalence()
                    594:    movingaverage()
                    595:   varevsij() 
                    596:   if popbased==1 varevsij(,popbased)
                    597:   total life expectancies
                    598:   Variance of period (stable) prevalence
                    599:  end
                    600: */
                    601: 
1.187     brouard   602: /* #define DEBUG */
                    603: /* #define DEBUGBRENT */
1.165     brouard   604: #define POWELL /* Instead of NLOPT */
1.186     brouard   605: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                    606: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.126     brouard   607: 
                    608: #include <math.h>
                    609: #include <stdio.h>
                    610: #include <stdlib.h>
                    611: #include <string.h>
1.159     brouard   612: 
                    613: #ifdef _WIN32
                    614: #include <io.h>
1.172     brouard   615: #include <windows.h>
                    616: #include <tchar.h>
1.159     brouard   617: #else
1.126     brouard   618: #include <unistd.h>
1.159     brouard   619: #endif
1.126     brouard   620: 
                    621: #include <limits.h>
                    622: #include <sys/types.h>
1.171     brouard   623: 
                    624: #if defined(__GNUC__)
                    625: #include <sys/utsname.h> /* Doesn't work on Windows */
                    626: #endif
                    627: 
1.126     brouard   628: #include <sys/stat.h>
                    629: #include <errno.h>
1.159     brouard   630: /* extern int errno; */
1.126     brouard   631: 
1.157     brouard   632: /* #ifdef LINUX */
                    633: /* #include <time.h> */
                    634: /* #include "timeval.h" */
                    635: /* #else */
                    636: /* #include <sys/time.h> */
                    637: /* #endif */
                    638: 
1.126     brouard   639: #include <time.h>
                    640: 
1.136     brouard   641: #ifdef GSL
                    642: #include <gsl/gsl_errno.h>
                    643: #include <gsl/gsl_multimin.h>
                    644: #endif
                    645: 
1.167     brouard   646: 
1.162     brouard   647: #ifdef NLOPT
                    648: #include <nlopt.h>
                    649: typedef struct {
                    650:   double (* function)(double [] );
                    651: } myfunc_data ;
                    652: #endif
                    653: 
1.126     brouard   654: /* #include <libintl.h> */
                    655: /* #define _(String) gettext (String) */
                    656: 
1.141     brouard   657: #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard   658: 
                    659: #define GNUPLOTPROGRAM "gnuplot"
                    660: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                    661: #define FILENAMELENGTH 132
                    662: 
                    663: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                    664: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                    665: 
1.144     brouard   666: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                    667: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard   668: 
                    669: #define NINTERVMAX 8
1.144     brouard   670: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                    671: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
                    672: #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
1.145     brouard   673: #define codtabm(h,k)  1 & (h-1) >> (k-1) ;
1.126     brouard   674: #define MAXN 20000
1.144     brouard   675: #define YEARM 12. /**< Number of months per year */
1.126     brouard   676: #define AGESUP 130
                    677: #define AGEBASE 40
1.164     brouard   678: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard   679: #ifdef _WIN32
                    680: #define DIRSEPARATOR '\\'
                    681: #define CHARSEPARATOR "\\"
                    682: #define ODIRSEPARATOR '/'
                    683: #else
1.126     brouard   684: #define DIRSEPARATOR '/'
                    685: #define CHARSEPARATOR "/"
                    686: #define ODIRSEPARATOR '\\'
                    687: #endif
                    688: 
1.191   ! brouard   689: /* $Id: imach.c,v 1.190 2015/05/05 08:51:13 brouard Exp $ */
1.126     brouard   690: /* $State: Exp $ */
                    691: 
1.189     brouard   692: char version[]="Imach version 0.98q2, April 2015,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015";
1.191   ! brouard   693: char fullversion[]="$Revision: 1.190 $ $Date: 2015/05/05 08:51:13 $"; 
1.126     brouard   694: char strstart[80];
                    695: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard   696: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard   697: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard   698: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                    699: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                    700: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
                    701: int cptcovs=0; /**< cptcovs number of simple covariates V2+V1 =2 */
                    702: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                    703: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                    704: int cptcoveff=0; /* Total number of covariates to vary for printing results */
                    705: int cptcov=0; /* Working variable */
1.126     brouard   706: int npar=NPARMAX;
                    707: int nlstate=2; /* Number of live states */
                    708: int ndeath=1; /* Number of dead states */
1.130     brouard   709: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.126     brouard   710: int popbased=0;
                    711: 
                    712: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard   713: int maxwav=0; /* Maxim number of waves */
                    714: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                    715: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                    716: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard   717:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard   718: int mle=1, weightopt=0;
1.126     brouard   719: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                    720: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                    721: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                    722:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard   723: int countcallfunc=0;  /* Count the number of calls to func */
1.130     brouard   724: double jmean=1; /* Mean space between 2 waves */
1.145     brouard   725: double **matprod2(); /* test */
1.126     brouard   726: double **oldm, **newm, **savm; /* Working pointers to matrices */
                    727: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.136     brouard   728: /*FILE *fic ; */ /* Used in readdata only */
                    729: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
1.126     brouard   730: FILE *ficlog, *ficrespow;
1.130     brouard   731: int globpr=0; /* Global variable for printing or not */
1.126     brouard   732: double fretone; /* Only one call to likelihood */
1.130     brouard   733: long ipmx=0; /* Number of contributions */
1.126     brouard   734: double sw; /* Sum of weights */
                    735: char filerespow[FILENAMELENGTH];
                    736: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                    737: FILE *ficresilk;
                    738: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                    739: FILE *ficresprobmorprev;
                    740: FILE *fichtm, *fichtmcov; /* Html File */
                    741: FILE *ficreseij;
                    742: char filerese[FILENAMELENGTH];
                    743: FILE *ficresstdeij;
                    744: char fileresstde[FILENAMELENGTH];
                    745: FILE *ficrescveij;
                    746: char filerescve[FILENAMELENGTH];
                    747: FILE  *ficresvij;
                    748: char fileresv[FILENAMELENGTH];
                    749: FILE  *ficresvpl;
                    750: char fileresvpl[FILENAMELENGTH];
                    751: char title[MAXLINE];
                    752: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
                    753: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                    754: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                    755: char command[FILENAMELENGTH];
                    756: int  outcmd=0;
                    757: 
                    758: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
                    759: 
                    760: char filelog[FILENAMELENGTH]; /* Log file */
                    761: char filerest[FILENAMELENGTH];
                    762: char fileregp[FILENAMELENGTH];
                    763: char popfile[FILENAMELENGTH];
                    764: 
                    765: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                    766: 
1.157     brouard   767: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                    768: /* struct timezone tzp; */
                    769: /* extern int gettimeofday(); */
                    770: struct tm tml, *gmtime(), *localtime();
                    771: 
                    772: extern time_t time();
                    773: 
                    774: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                    775: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                    776: struct tm tm;
                    777: 
1.126     brouard   778: char strcurr[80], strfor[80];
                    779: 
                    780: char *endptr;
                    781: long lval;
                    782: double dval;
                    783: 
                    784: #define NR_END 1
                    785: #define FREE_ARG char*
                    786: #define FTOL 1.0e-10
                    787: 
                    788: #define NRANSI 
                    789: #define ITMAX 200 
                    790: 
                    791: #define TOL 2.0e-4 
                    792: 
                    793: #define CGOLD 0.3819660 
                    794: #define ZEPS 1.0e-10 
                    795: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                    796: 
                    797: #define GOLD 1.618034 
                    798: #define GLIMIT 100.0 
                    799: #define TINY 1.0e-20 
                    800: 
                    801: static double maxarg1,maxarg2;
                    802: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                    803: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                    804:   
                    805: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                    806: #define rint(a) floor(a+0.5)
1.166     brouard   807: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard   808: #define mytinydouble 1.0e-16
1.166     brouard   809: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                    810: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                    811: /* static double dsqrarg; */
                    812: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard   813: static double sqrarg;
                    814: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                    815: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                    816: int agegomp= AGEGOMP;
                    817: 
                    818: int imx; 
                    819: int stepm=1;
                    820: /* Stepm, step in month: minimum step interpolation*/
                    821: 
                    822: int estepm;
                    823: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                    824: 
                    825: int m,nb;
                    826: long *num;
                    827: int firstpass=0, lastpass=4,*cod, *ncodemax, *Tage,*cens;
                    828: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
                    829: double **pmmij, ***probs;
                    830: double *ageexmed,*agecens;
                    831: double dateintmean=0;
                    832: 
                    833: double *weight;
                    834: int **s; /* Status */
1.141     brouard   835: double *agedc;
1.145     brouard   836: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard   837:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard   838:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.141     brouard   839: double  idx; 
                    840: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.145     brouard   841: int *Ndum; /** Freq of modality (tricode */
1.141     brouard   842: int **codtab; /**< codtab=imatrix(1,100,1,10); */
                    843: int **Tvard, *Tprod, cptcovprod, *Tvaraff;
1.126     brouard   844: double *lsurv, *lpop, *tpop;
                    845: 
1.143     brouard   846: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                    847: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard   848: 
                    849: /**************** split *************************/
                    850: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                    851: {
                    852:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                    853:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                    854:   */ 
                    855:   char *ss;                            /* pointer */
1.186     brouard   856:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard   857: 
                    858:   l1 = strlen(path );                  /* length of path */
                    859:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                    860:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                    861:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                    862:     strcpy( name, path );              /* we got the fullname name because no directory */
                    863:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                    864:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                    865:     /* get current working directory */
                    866:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard   867: #ifdef WIN32
                    868:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                    869: #else
                    870:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                    871: #endif
1.126     brouard   872:       return( GLOCK_ERROR_GETCWD );
                    873:     }
                    874:     /* got dirc from getcwd*/
                    875:     printf(" DIRC = %s \n",dirc);
                    876:   } else {                             /* strip direcotry from path */
                    877:     ss++;                              /* after this, the filename */
                    878:     l2 = strlen( ss );                 /* length of filename */
                    879:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                    880:     strcpy( name, ss );                /* save file name */
                    881:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard   882:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard   883:     printf(" DIRC2 = %s \n",dirc);
                    884:   }
                    885:   /* We add a separator at the end of dirc if not exists */
                    886:   l1 = strlen( dirc );                 /* length of directory */
                    887:   if( dirc[l1-1] != DIRSEPARATOR ){
                    888:     dirc[l1] =  DIRSEPARATOR;
                    889:     dirc[l1+1] = 0; 
                    890:     printf(" DIRC3 = %s \n",dirc);
                    891:   }
                    892:   ss = strrchr( name, '.' );           /* find last / */
                    893:   if (ss >0){
                    894:     ss++;
                    895:     strcpy(ext,ss);                    /* save extension */
                    896:     l1= strlen( name);
                    897:     l2= strlen(ss)+1;
                    898:     strncpy( finame, name, l1-l2);
                    899:     finame[l1-l2]= 0;
                    900:   }
                    901: 
                    902:   return( 0 );                         /* we're done */
                    903: }
                    904: 
                    905: 
                    906: /******************************************/
                    907: 
                    908: void replace_back_to_slash(char *s, char*t)
                    909: {
                    910:   int i;
                    911:   int lg=0;
                    912:   i=0;
                    913:   lg=strlen(t);
                    914:   for(i=0; i<= lg; i++) {
                    915:     (s[i] = t[i]);
                    916:     if (t[i]== '\\') s[i]='/';
                    917:   }
                    918: }
                    919: 
1.132     brouard   920: char *trimbb(char *out, char *in)
1.137     brouard   921: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard   922:   char *s;
                    923:   s=out;
                    924:   while (*in != '\0'){
1.137     brouard   925:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard   926:       in++;
                    927:     }
                    928:     *out++ = *in++;
                    929:   }
                    930:   *out='\0';
                    931:   return s;
                    932: }
                    933: 
1.187     brouard   934: /* char *substrchaine(char *out, char *in, char *chain) */
                    935: /* { */
                    936: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                    937: /*   char *s, *t; */
                    938: /*   t=in;s=out; */
                    939: /*   while ((*in != *chain) && (*in != '\0')){ */
                    940: /*     *out++ = *in++; */
                    941: /*   } */
                    942: 
                    943: /*   /\* *in matches *chain *\/ */
                    944: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                    945: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                    946: /*   } */
                    947: /*   in--; chain--; */
                    948: /*   while ( (*in != '\0')){ */
                    949: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                    950: /*     *out++ = *in++; */
                    951: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                    952: /*   } */
                    953: /*   *out='\0'; */
                    954: /*   out=s; */
                    955: /*   return out; */
                    956: /* } */
                    957: char *substrchaine(char *out, char *in, char *chain)
                    958: {
                    959:   /* Substract chain 'chain' from 'in', return and output 'out' */
                    960:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                    961: 
                    962:   char *strloc;
                    963: 
                    964:   strcpy (out, in); 
                    965:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                    966:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                    967:   if(strloc != NULL){ 
                    968:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                    969:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                    970:     /* strcpy (strloc, strloc +strlen(chain));*/
                    971:   }
                    972:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                    973:   return out;
                    974: }
                    975: 
                    976: 
1.145     brouard   977: char *cutl(char *blocc, char *alocc, char *in, char occ)
                    978: {
1.187     brouard   979:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard   980:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.187     brouard   981:      gives blocc="abcdef" and alocc="ghi2j".
1.145     brouard   982:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                    983:   */
1.160     brouard   984:   char *s, *t;
1.145     brouard   985:   t=in;s=in;
                    986:   while ((*in != occ) && (*in != '\0')){
                    987:     *alocc++ = *in++;
                    988:   }
                    989:   if( *in == occ){
                    990:     *(alocc)='\0';
                    991:     s=++in;
                    992:   }
                    993:  
                    994:   if (s == t) {/* occ not found */
                    995:     *(alocc-(in-s))='\0';
                    996:     in=s;
                    997:   }
                    998:   while ( *in != '\0'){
                    999:     *blocc++ = *in++;
                   1000:   }
                   1001: 
                   1002:   *blocc='\0';
                   1003:   return t;
                   1004: }
1.137     brouard  1005: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1006: {
1.187     brouard  1007:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1008:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1009:      gives blocc="abcdef2ghi" and alocc="j".
                   1010:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1011:   */
                   1012:   char *s, *t;
                   1013:   t=in;s=in;
                   1014:   while (*in != '\0'){
                   1015:     while( *in == occ){
                   1016:       *blocc++ = *in++;
                   1017:       s=in;
                   1018:     }
                   1019:     *blocc++ = *in++;
                   1020:   }
                   1021:   if (s == t) /* occ not found */
                   1022:     *(blocc-(in-s))='\0';
                   1023:   else
                   1024:     *(blocc-(in-s)-1)='\0';
                   1025:   in=s;
                   1026:   while ( *in != '\0'){
                   1027:     *alocc++ = *in++;
                   1028:   }
                   1029: 
                   1030:   *alocc='\0';
                   1031:   return s;
                   1032: }
                   1033: 
1.126     brouard  1034: int nbocc(char *s, char occ)
                   1035: {
                   1036:   int i,j=0;
                   1037:   int lg=20;
                   1038:   i=0;
                   1039:   lg=strlen(s);
                   1040:   for(i=0; i<= lg; i++) {
                   1041:   if  (s[i] == occ ) j++;
                   1042:   }
                   1043:   return j;
                   1044: }
                   1045: 
1.137     brouard  1046: /* void cutv(char *u,char *v, char*t, char occ) */
                   1047: /* { */
                   1048: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1049: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1050: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1051: /*   int i,lg,j,p=0; */
                   1052: /*   i=0; */
                   1053: /*   lg=strlen(t); */
                   1054: /*   for(j=0; j<=lg-1; j++) { */
                   1055: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1056: /*   } */
1.126     brouard  1057: 
1.137     brouard  1058: /*   for(j=0; j<p; j++) { */
                   1059: /*     (u[j] = t[j]); */
                   1060: /*   } */
                   1061: /*      u[p]='\0'; */
1.126     brouard  1062: 
1.137     brouard  1063: /*    for(j=0; j<= lg; j++) { */
                   1064: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1065: /*   } */
                   1066: /* } */
1.126     brouard  1067: 
1.160     brouard  1068: #ifdef _WIN32
                   1069: char * strsep(char **pp, const char *delim)
                   1070: {
                   1071:   char *p, *q;
                   1072:          
                   1073:   if ((p = *pp) == NULL)
                   1074:     return 0;
                   1075:   if ((q = strpbrk (p, delim)) != NULL)
                   1076:   {
                   1077:     *pp = q + 1;
                   1078:     *q = '\0';
                   1079:   }
                   1080:   else
                   1081:     *pp = 0;
                   1082:   return p;
                   1083: }
                   1084: #endif
                   1085: 
1.126     brouard  1086: /********************** nrerror ********************/
                   1087: 
                   1088: void nrerror(char error_text[])
                   1089: {
                   1090:   fprintf(stderr,"ERREUR ...\n");
                   1091:   fprintf(stderr,"%s\n",error_text);
                   1092:   exit(EXIT_FAILURE);
                   1093: }
                   1094: /*********************** vector *******************/
                   1095: double *vector(int nl, int nh)
                   1096: {
                   1097:   double *v;
                   1098:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1099:   if (!v) nrerror("allocation failure in vector");
                   1100:   return v-nl+NR_END;
                   1101: }
                   1102: 
                   1103: /************************ free vector ******************/
                   1104: void free_vector(double*v, int nl, int nh)
                   1105: {
                   1106:   free((FREE_ARG)(v+nl-NR_END));
                   1107: }
                   1108: 
                   1109: /************************ivector *******************************/
                   1110: int *ivector(long nl,long nh)
                   1111: {
                   1112:   int *v;
                   1113:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1114:   if (!v) nrerror("allocation failure in ivector");
                   1115:   return v-nl+NR_END;
                   1116: }
                   1117: 
                   1118: /******************free ivector **************************/
                   1119: void free_ivector(int *v, long nl, long nh)
                   1120: {
                   1121:   free((FREE_ARG)(v+nl-NR_END));
                   1122: }
                   1123: 
                   1124: /************************lvector *******************************/
                   1125: long *lvector(long nl,long nh)
                   1126: {
                   1127:   long *v;
                   1128:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1129:   if (!v) nrerror("allocation failure in ivector");
                   1130:   return v-nl+NR_END;
                   1131: }
                   1132: 
                   1133: /******************free lvector **************************/
                   1134: void free_lvector(long *v, long nl, long nh)
                   1135: {
                   1136:   free((FREE_ARG)(v+nl-NR_END));
                   1137: }
                   1138: 
                   1139: /******************* imatrix *******************************/
                   1140: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1141:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1142: { 
                   1143:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1144:   int **m; 
                   1145:   
                   1146:   /* allocate pointers to rows */ 
                   1147:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1148:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1149:   m += NR_END; 
                   1150:   m -= nrl; 
                   1151:   
                   1152:   
                   1153:   /* allocate rows and set pointers to them */ 
                   1154:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1155:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1156:   m[nrl] += NR_END; 
                   1157:   m[nrl] -= ncl; 
                   1158:   
                   1159:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1160:   
                   1161:   /* return pointer to array of pointers to rows */ 
                   1162:   return m; 
                   1163: } 
                   1164: 
                   1165: /****************** free_imatrix *************************/
                   1166: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1167:       int **m;
                   1168:       long nch,ncl,nrh,nrl; 
                   1169:      /* free an int matrix allocated by imatrix() */ 
                   1170: { 
                   1171:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1172:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1173: } 
                   1174: 
                   1175: /******************* matrix *******************************/
                   1176: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1177: {
                   1178:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1179:   double **m;
                   1180: 
                   1181:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1182:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1183:   m += NR_END;
                   1184:   m -= nrl;
                   1185: 
                   1186:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1187:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1188:   m[nrl] += NR_END;
                   1189:   m[nrl] -= ncl;
                   1190: 
                   1191:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1192:   return m;
1.145     brouard  1193:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1194: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1195: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1196:    */
                   1197: }
                   1198: 
                   1199: /*************************free matrix ************************/
                   1200: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1201: {
                   1202:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1203:   free((FREE_ARG)(m+nrl-NR_END));
                   1204: }
                   1205: 
                   1206: /******************* ma3x *******************************/
                   1207: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1208: {
                   1209:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1210:   double ***m;
                   1211: 
                   1212:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1213:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1214:   m += NR_END;
                   1215:   m -= nrl;
                   1216: 
                   1217:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1218:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1219:   m[nrl] += NR_END;
                   1220:   m[nrl] -= ncl;
                   1221: 
                   1222:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1223: 
                   1224:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1225:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1226:   m[nrl][ncl] += NR_END;
                   1227:   m[nrl][ncl] -= nll;
                   1228:   for (j=ncl+1; j<=nch; j++) 
                   1229:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1230:   
                   1231:   for (i=nrl+1; i<=nrh; i++) {
                   1232:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1233:     for (j=ncl+1; j<=nch; j++) 
                   1234:       m[i][j]=m[i][j-1]+nlay;
                   1235:   }
                   1236:   return m; 
                   1237:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1238:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1239:   */
                   1240: }
                   1241: 
                   1242: /*************************free ma3x ************************/
                   1243: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1244: {
                   1245:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1246:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1247:   free((FREE_ARG)(m+nrl-NR_END));
                   1248: }
                   1249: 
                   1250: /*************** function subdirf ***********/
                   1251: char *subdirf(char fileres[])
                   1252: {
                   1253:   /* Caution optionfilefiname is hidden */
                   1254:   strcpy(tmpout,optionfilefiname);
                   1255:   strcat(tmpout,"/"); /* Add to the right */
                   1256:   strcat(tmpout,fileres);
                   1257:   return tmpout;
                   1258: }
                   1259: 
                   1260: /*************** function subdirf2 ***********/
                   1261: char *subdirf2(char fileres[], char *preop)
                   1262: {
                   1263:   
                   1264:   /* Caution optionfilefiname is hidden */
                   1265:   strcpy(tmpout,optionfilefiname);
                   1266:   strcat(tmpout,"/");
                   1267:   strcat(tmpout,preop);
                   1268:   strcat(tmpout,fileres);
                   1269:   return tmpout;
                   1270: }
                   1271: 
                   1272: /*************** function subdirf3 ***********/
                   1273: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1274: {
                   1275:   
                   1276:   /* Caution optionfilefiname is hidden */
                   1277:   strcpy(tmpout,optionfilefiname);
                   1278:   strcat(tmpout,"/");
                   1279:   strcat(tmpout,preop);
                   1280:   strcat(tmpout,preop2);
                   1281:   strcat(tmpout,fileres);
                   1282:   return tmpout;
                   1283: }
                   1284: 
1.162     brouard  1285: char *asc_diff_time(long time_sec, char ascdiff[])
                   1286: {
                   1287:   long sec_left, days, hours, minutes;
                   1288:   days = (time_sec) / (60*60*24);
                   1289:   sec_left = (time_sec) % (60*60*24);
                   1290:   hours = (sec_left) / (60*60) ;
                   1291:   sec_left = (sec_left) %(60*60);
                   1292:   minutes = (sec_left) /60;
                   1293:   sec_left = (sec_left) % (60);
                   1294:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1295:   return ascdiff;
                   1296: }
                   1297: 
1.126     brouard  1298: /***************** f1dim *************************/
                   1299: extern int ncom; 
                   1300: extern double *pcom,*xicom;
                   1301: extern double (*nrfunc)(double []); 
                   1302:  
                   1303: double f1dim(double x) 
                   1304: { 
                   1305:   int j; 
                   1306:   double f;
                   1307:   double *xt; 
                   1308:  
                   1309:   xt=vector(1,ncom); 
                   1310:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   1311:   f=(*nrfunc)(xt); 
                   1312:   free_vector(xt,1,ncom); 
                   1313:   return f; 
                   1314: } 
                   1315: 
                   1316: /*****************brent *************************/
                   1317: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  1318: {
                   1319:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   1320:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   1321:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   1322:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   1323:    * returned function value. 
                   1324:   */
1.126     brouard  1325:   int iter; 
                   1326:   double a,b,d,etemp;
1.159     brouard  1327:   double fu=0,fv,fw,fx;
1.164     brouard  1328:   double ftemp=0.;
1.126     brouard  1329:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   1330:   double e=0.0; 
                   1331:  
                   1332:   a=(ax < cx ? ax : cx); 
                   1333:   b=(ax > cx ? ax : cx); 
                   1334:   x=w=v=bx; 
                   1335:   fw=fv=fx=(*f)(x); 
                   1336:   for (iter=1;iter<=ITMAX;iter++) { 
                   1337:     xm=0.5*(a+b); 
                   1338:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   1339:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   1340:     printf(".");fflush(stdout);
                   1341:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  1342: #ifdef DEBUGBRENT
1.126     brouard  1343:     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);
                   1344:     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);
                   1345:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   1346: #endif
                   1347:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   1348:       *xmin=x; 
                   1349:       return fx; 
                   1350:     } 
                   1351:     ftemp=fu;
                   1352:     if (fabs(e) > tol1) { 
                   1353:       r=(x-w)*(fx-fv); 
                   1354:       q=(x-v)*(fx-fw); 
                   1355:       p=(x-v)*q-(x-w)*r; 
                   1356:       q=2.0*(q-r); 
                   1357:       if (q > 0.0) p = -p; 
                   1358:       q=fabs(q); 
                   1359:       etemp=e; 
                   1360:       e=d; 
                   1361:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
                   1362:        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1363:       else { 
                   1364:        d=p/q; 
                   1365:        u=x+d; 
                   1366:        if (u-a < tol2 || b-u < tol2) 
                   1367:          d=SIGN(tol1,xm-x); 
                   1368:       } 
                   1369:     } else { 
                   1370:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1371:     } 
                   1372:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   1373:     fu=(*f)(u); 
                   1374:     if (fu <= fx) { 
                   1375:       if (u >= x) a=x; else b=x; 
                   1376:       SHFT(v,w,x,u) 
1.183     brouard  1377:       SHFT(fv,fw,fx,fu) 
                   1378:     } else { 
                   1379:       if (u < x) a=u; else b=u; 
                   1380:       if (fu <= fw || w == x) { 
                   1381:        v=w; 
                   1382:        w=u; 
                   1383:        fv=fw; 
                   1384:        fw=fu; 
                   1385:       } else if (fu <= fv || v == x || v == w) { 
                   1386:        v=u; 
                   1387:        fv=fu; 
                   1388:       } 
                   1389:     } 
1.126     brouard  1390:   } 
                   1391:   nrerror("Too many iterations in brent"); 
                   1392:   *xmin=x; 
                   1393:   return fx; 
                   1394: } 
                   1395: 
                   1396: /****************** mnbrak ***********************/
                   1397: 
                   1398: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   1399:            double (*func)(double)) 
1.183     brouard  1400: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   1401: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   1402: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   1403: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   1404:    */
1.126     brouard  1405:   double ulim,u,r,q, dum;
                   1406:   double fu; 
1.187     brouard  1407: 
                   1408:   double scale=10.;
                   1409:   int iterscale=0;
                   1410: 
                   1411:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   1412:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   1413: 
                   1414: 
                   1415:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   1416:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   1417:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   1418:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   1419:   /* } */
                   1420: 
1.126     brouard  1421:   if (*fb > *fa) { 
                   1422:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  1423:     SHFT(dum,*fb,*fa,dum) 
                   1424:   } 
1.126     brouard  1425:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   1426:   *fc=(*func)(*cx); 
1.183     brouard  1427: #ifdef DEBUG
                   1428:   printf("mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
                   1429:   fprintf(ficlog,"mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
                   1430: #endif
                   1431:   while (*fb > *fc) { /* Declining a,b,c with fa> fb > fc */
1.126     brouard  1432:     r=(*bx-*ax)*(*fb-*fc); 
                   1433:     q=(*bx-*cx)*(*fb-*fa); 
                   1434:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  1435:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   1436:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   1437:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  1438:       fu=(*func)(u); 
1.163     brouard  1439: #ifdef DEBUG
                   1440:       /* f(x)=A(x-u)**2+f(u) */
                   1441:       double A, fparabu; 
                   1442:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   1443:       fparabu= *fa - A*(*ax-u)*(*ax-u);
                   1444:       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);
                   1445:       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  1446:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   1447:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   1448:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   1449:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  1450: #endif 
1.184     brouard  1451: #ifdef MNBRAKORIGINAL
1.183     brouard  1452: #else
1.191   ! brouard  1453: /*       if (fu > *fc) { */
        !          1454: /* #ifdef DEBUG */
        !          1455: /*       printf("mnbrak4  fu > fc \n"); */
        !          1456: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
        !          1457: /* #endif */
        !          1458: /*     /\* 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 *\\/  *\/ */
        !          1459: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
        !          1460: /*     dum=u; /\* Shifting c and u *\/ */
        !          1461: /*     u = *cx; */
        !          1462: /*     *cx = dum; */
        !          1463: /*     dum = fu; */
        !          1464: /*     fu = *fc; */
        !          1465: /*     *fc =dum; */
        !          1466: /*       } else { /\* end *\/ */
        !          1467: /* #ifdef DEBUG */
        !          1468: /*       printf("mnbrak3  fu < fc \n"); */
        !          1469: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
        !          1470: /* #endif */
        !          1471: /*     dum=u; /\* Shifting c and u *\/ */
        !          1472: /*     u = *cx; */
        !          1473: /*     *cx = dum; */
        !          1474: /*     dum = fu; */
        !          1475: /*     fu = *fc; */
        !          1476: /*     *fc =dum; */
        !          1477: /*       } */
1.183     brouard  1478: #ifdef DEBUG
1.191   ! brouard  1479:       printf("mnbrak34  fu < or >= fc \n");
        !          1480:       fprintf(ficlog, "mnbrak34 fu < fc\n");
1.183     brouard  1481: #endif
1.191   ! brouard  1482:       dum=u; /* Shifting c and u */
        !          1483:       u = *cx;
        !          1484:       *cx = dum;
        !          1485:       dum = fu;
        !          1486:       fu = *fc;
        !          1487:       *fc =dum;
1.183     brouard  1488: #endif
1.162     brouard  1489:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  1490: #ifdef DEBUG
                   1491:       printf("mnbrak2  u after c but before ulim\n");
                   1492:       fprintf(ficlog, "mnbrak2 u after c but before ulim\n");
                   1493: #endif
1.126     brouard  1494:       fu=(*func)(u); 
                   1495:       if (fu < *fc) { 
1.183     brouard  1496: #ifdef DEBUG
                   1497:       printf("mnbrak2  u after c but before ulim AND fu < fc\n");
                   1498:       fprintf(ficlog, "mnbrak2 u after c but before ulim AND fu <fc \n");
                   1499: #endif
1.126     brouard  1500:        SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
1.183     brouard  1501:        SHFT(*fb,*fc,fu,(*func)(u)) 
                   1502:       } 
1.162     brouard  1503:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  1504: #ifdef DEBUG
                   1505:       printf("mnbrak2  u outside ulim (verifying that ulim is beyond c)\n");
                   1506:       fprintf(ficlog, "mnbrak2 u outside ulim (verifying that ulim is beyond c)\n");
                   1507: #endif
1.126     brouard  1508:       u=ulim; 
                   1509:       fu=(*func)(u); 
1.183     brouard  1510:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   1511: #ifdef DEBUG
                   1512:       printf("mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
                   1513:       fprintf(ficlog, "mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
                   1514: #endif
1.126     brouard  1515:       u=(*cx)+GOLD*(*cx-*bx); 
                   1516:       fu=(*func)(u); 
1.183     brouard  1517:     } /* end tests */
1.126     brouard  1518:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  1519:     SHFT(*fa,*fb,*fc,fu) 
                   1520: #ifdef DEBUG
                   1521:       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);
                   1522:       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);
                   1523: #endif
                   1524:   } /* 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  1525: } 
                   1526: 
                   1527: /*************** linmin ************************/
1.162     brouard  1528: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   1529: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   1530: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   1531: the value of func at the returned location p . This is actually all accomplished by calling the
                   1532: routines mnbrak and brent .*/
1.126     brouard  1533: int ncom; 
                   1534: double *pcom,*xicom;
                   1535: double (*nrfunc)(double []); 
                   1536:  
                   1537: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
                   1538: { 
                   1539:   double brent(double ax, double bx, double cx, 
                   1540:               double (*f)(double), double tol, double *xmin); 
                   1541:   double f1dim(double x); 
                   1542:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   1543:              double *fc, double (*func)(double)); 
                   1544:   int j; 
                   1545:   double xx,xmin,bx,ax; 
                   1546:   double fx,fb,fa;
1.187     brouard  1547: 
                   1548:   double scale=10., axs, xxs, xxss; /* Scale added for infinity */
1.126     brouard  1549:  
                   1550:   ncom=n; 
                   1551:   pcom=vector(1,n); 
                   1552:   xicom=vector(1,n); 
                   1553:   nrfunc=func; 
                   1554:   for (j=1;j<=n;j++) { 
                   1555:     pcom[j]=p[j]; 
                   1556:     xicom[j]=xi[j]; 
                   1557:   } 
1.187     brouard  1558: 
                   1559:   axs=0.0;
                   1560:   xxss=1; /* 1 and using scale */
                   1561:   xxs=1;
                   1562:   do{
                   1563:     ax=0.;
                   1564:     xx= xxs;
                   1565:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   1566:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   1567:     /* 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))   */
                   1568:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   1569:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   1570:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   1571:     /* 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]]*/
                   1572:     if (fx != fx){
                   1573:        xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                   1574:        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);
                   1575:     }
                   1576:   }while(fx != fx);
                   1577: 
1.191   ! brouard  1578: #ifdef DEBUGLINMIN
        !          1579:   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);
        !          1580: #endif
1.187     brouard  1581:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   1582:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   1583:   /* fmin = f(p[j] + xmin * xi[j]) */
                   1584:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   1585:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  1586: #ifdef DEBUG
                   1587:   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
                   1588:   fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
                   1589: #endif
1.191   ! brouard  1590: #ifdef DEBUGLINMIN
        !          1591:   printf("linmin end ");
        !          1592: #endif
1.126     brouard  1593:   for (j=1;j<=n;j++) { 
1.188     brouard  1594:     /* printf(" before xi[%d]=%12.8f", j,xi[j]); */
1.187     brouard  1595:     xi[j] *= xmin; /* xi rescaled by xmin: if xmin=-1.237 and xi=(1,0,...,0) xi=(-1.237,0,...,0) */
1.189     brouard  1596:     /* if(xxs <1.0) */
                   1597:     /*   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  1598:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  1599:   } 
1.189     brouard  1600:   /* printf("\n"); */
1.191   ! brouard  1601: #ifdef DEBUGLINMIN
        !          1602:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
        !          1603:   for (j=1;j<=n;j++) { 
        !          1604:     printf(" xi[%d]= %12.7f p[%d]= %12.7f",j,xi[j],j,p[j]);
        !          1605:     if(j % ncovmodel == 0)
        !          1606:       printf("\n");
        !          1607:   }
        !          1608: #endif
1.126     brouard  1609:   free_vector(xicom,1,n); 
                   1610:   free_vector(pcom,1,n); 
                   1611: } 
                   1612: 
                   1613: 
                   1614: /*************** powell ************************/
1.162     brouard  1615: /*
                   1616: Minimization of a function func of n variables. Input consists of an initial starting point
                   1617: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
                   1618: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
                   1619: such that failure to decrease by more than this amount on one iteration signals doneness. On
                   1620: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   1621: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   1622:  */
1.126     brouard  1623: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   1624:            double (*func)(double [])) 
                   1625: { 
                   1626:   void linmin(double p[], double xi[], int n, double *fret, 
                   1627:              double (*func)(double [])); 
                   1628:   int i,ibig,j; 
                   1629:   double del,t,*pt,*ptt,*xit;
1.181     brouard  1630:   double directest;
1.126     brouard  1631:   double fp,fptt;
                   1632:   double *xits;
                   1633:   int niterf, itmp;
                   1634: 
                   1635:   pt=vector(1,n); 
                   1636:   ptt=vector(1,n); 
                   1637:   xit=vector(1,n); 
                   1638:   xits=vector(1,n); 
                   1639:   *fret=(*func)(p); 
                   1640:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.157     brouard  1641:     rcurr_time = time(NULL);  
1.126     brouard  1642:   for (*iter=1;;++(*iter)) { 
1.187     brouard  1643:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  1644:     ibig=0; 
                   1645:     del=0.0; 
1.157     brouard  1646:     rlast_time=rcurr_time;
                   1647:     /* (void) gettimeofday(&curr_time,&tzp); */
                   1648:     rcurr_time = time(NULL);  
                   1649:     curr_time = *localtime(&rcurr_time);
                   1650:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   1651:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   1652: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.126     brouard  1653:    for (i=1;i<=n;i++) {
                   1654:       printf(" %d %.12f",i, p[i]);
                   1655:       fprintf(ficlog," %d %.12lf",i, p[i]);
                   1656:       fprintf(ficrespow," %.12lf", p[i]);
                   1657:     }
                   1658:     printf("\n");
                   1659:     fprintf(ficlog,"\n");
                   1660:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   1661:     if(*iter <=3){
1.157     brouard  1662:       tml = *localtime(&rcurr_time);
                   1663:       strcpy(strcurr,asctime(&tml));
                   1664:       rforecast_time=rcurr_time; 
1.126     brouard  1665:       itmp = strlen(strcurr);
                   1666:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
                   1667:        strcurr[itmp-1]='\0';
1.162     brouard  1668:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  1669:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  1670:       for(niterf=10;niterf<=30;niterf+=10){
1.157     brouard  1671:        rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   1672:        forecast_time = *localtime(&rforecast_time);
                   1673:        strcpy(strfor,asctime(&forecast_time));
1.126     brouard  1674:        itmp = strlen(strfor);
                   1675:        if(strfor[itmp-1]=='\n')
                   1676:        strfor[itmp-1]='\0';
1.157     brouard  1677:        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);
                   1678:        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  1679:       }
                   1680:     }
1.187     brouard  1681:     for (i=1;i<=n;i++) { /* For each direction i */
                   1682:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  1683:       fptt=(*fret); 
                   1684: #ifdef DEBUG
1.164     brouard  1685:          printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   1686:          fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  1687: #endif
1.187     brouard  1688:          printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  1689:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.188     brouard  1690:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   1691:                                    /* Outputs are fret(new point p) p is updated and xit rescaled */
                   1692:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
                   1693:        /* because that direction will be replaced unless the gain del is small */
                   1694:        /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   1695:        /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   1696:        /* with the new direction. */
1.126     brouard  1697:        del=fabs(fptt-(*fret)); 
                   1698:        ibig=i; 
                   1699:       } 
                   1700: #ifdef DEBUG
                   1701:       printf("%d %.12e",i,(*fret));
                   1702:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   1703:       for (j=1;j<=n;j++) {
                   1704:        xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   1705:        printf(" x(%d)=%.12e",j,xit[j]);
                   1706:        fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
                   1707:       }
                   1708:       for(j=1;j<=n;j++) {
1.162     brouard  1709:        printf(" p(%d)=%.12e",j,p[j]);
                   1710:        fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  1711:       }
                   1712:       printf("\n");
                   1713:       fprintf(ficlog,"\n");
                   1714: #endif
1.187     brouard  1715:     } /* end loop on each direction i */
                   1716:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  1717:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  1718:     /* New value of last point Pn is not computed, P(n-1) */
1.182     brouard  1719:     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /* Did we reach enough precision? */
1.188     brouard  1720:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   1721:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   1722:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   1723:       /* decreased of more than 3.84  */
                   1724:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   1725:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   1726:       /* By adding 10 parameters more the gain should be 18.31 */
                   1727: 
                   1728:       /* Starting the program with initial values given by a former maximization will simply change */
                   1729:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   1730:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   1731:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  1732: #ifdef DEBUG
                   1733:       int k[2],l;
                   1734:       k[0]=1;
                   1735:       k[1]=-1;
                   1736:       printf("Max: %.12e",(*func)(p));
                   1737:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   1738:       for (j=1;j<=n;j++) {
                   1739:        printf(" %.12e",p[j]);
                   1740:        fprintf(ficlog," %.12e",p[j]);
                   1741:       }
                   1742:       printf("\n");
                   1743:       fprintf(ficlog,"\n");
                   1744:       for(l=0;l<=1;l++) {
                   1745:        for (j=1;j<=n;j++) {
                   1746:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   1747:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   1748:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   1749:        }
                   1750:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   1751:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   1752:       }
                   1753: #endif
                   1754: 
                   1755: 
                   1756:       free_vector(xit,1,n); 
                   1757:       free_vector(xits,1,n); 
                   1758:       free_vector(ptt,1,n); 
                   1759:       free_vector(pt,1,n); 
                   1760:       return; 
                   1761:     } 
                   1762:     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  1763:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  1764:       ptt[j]=2.0*p[j]-pt[j]; 
                   1765:       xit[j]=p[j]-pt[j]; 
                   1766:       pt[j]=p[j]; 
                   1767:     } 
1.181     brouard  1768:     fptt=(*func)(ptt); /* f_3 */
1.161     brouard  1769:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.162     brouard  1770:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  1771:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  1772:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   1773:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   1774:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.181     brouard  1775:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del */
1.161     brouard  1776:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.183     brouard  1777: #ifdef NRCORIGINAL
                   1778:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   1779: #else
                   1780:       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  1781:       t= t- del*SQR(fp-fptt);
1.183     brouard  1782: #endif
1.182     brouard  1783:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If del was big enough we change it for a new direction */
1.161     brouard  1784: #ifdef DEBUG
1.181     brouard  1785:       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);
                   1786:       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  1787:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   1788:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   1789:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   1790:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   1791:       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);
                   1792:       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);
                   1793: #endif
1.183     brouard  1794: #ifdef POWELLORIGINAL
                   1795:       if (t < 0.0) { /* Then we use it for new direction */
                   1796: #else
1.182     brouard  1797:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.184     brouard  1798:       printf("directest= %.12lf, t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt,del);
1.182     brouard  1799:       printf("f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
1.184     brouard  1800:       fprintf(ficlog,"directest= %.12lf, t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt, del);
1.182     brouard  1801:       fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   1802:     } 
1.181     brouard  1803:       if (directest < 0.0) { /* Then we use it for new direction */
                   1804: #endif
1.191   ! brouard  1805: #ifdef DEBUGLINMIN
        !          1806:        printf("Before linmin in direction P%d-P0\n",n);
        !          1807:        for (j=1;j<=n;j++) { 
        !          1808:          printf("Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
        !          1809:          if(j % ncovmodel == 0)
        !          1810:            printf("\n");
        !          1811:        }
        !          1812: #endif
1.187     brouard  1813:        linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
1.191   ! brouard  1814: #ifdef DEBUGLINMIN
        !          1815:        for (j=1;j<=n;j++) { 
        !          1816:          printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
        !          1817:          if(j % ncovmodel == 0)
        !          1818:            printf("\n");
        !          1819:        }
        !          1820: #endif
1.126     brouard  1821:        for (j=1;j<=n;j++) { 
1.181     brouard  1822:          xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   1823:          xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
1.126     brouard  1824:        }
1.181     brouard  1825:        printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   1826:        fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
1.161     brouard  1827: 
1.126     brouard  1828: #ifdef DEBUG
1.164     brouard  1829:        printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   1830:        fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
1.126     brouard  1831:        for(j=1;j<=n;j++){
                   1832:          printf(" %.12e",xit[j]);
                   1833:          fprintf(ficlog," %.12e",xit[j]);
                   1834:        }
                   1835:        printf("\n");
                   1836:        fprintf(ficlog,"\n");
                   1837: #endif
1.162     brouard  1838:       } /* end of t negative */
                   1839:     } /* end if (fptt < fp)  */
1.126     brouard  1840:   } 
                   1841: } 
                   1842: 
                   1843: /**** Prevalence limit (stable or period prevalence)  ****************/
                   1844: 
                   1845: double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)
                   1846: {
                   1847:   /* Computes the prevalence limit in each live state at age x by left multiplying the unit
                   1848:      matrix by transitions matrix until convergence is reached */
1.169     brouard  1849:   
1.126     brouard  1850:   int i, ii,j,k;
                   1851:   double min, max, maxmin, maxmax,sumnew=0.;
1.145     brouard  1852:   /* double **matprod2(); */ /* test */
1.131     brouard  1853:   double **out, cov[NCOVMAX+1], **pmij();
1.126     brouard  1854:   double **newm;
                   1855:   double agefin, delaymax=50 ; /* Max number of years to converge */
1.169     brouard  1856:   
1.126     brouard  1857:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   1858:     for (j=1;j<=nlstate+ndeath;j++){
                   1859:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   1860:     }
1.169     brouard  1861:   
                   1862:   cov[1]=1.;
                   1863:   
                   1864:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.126     brouard  1865:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
                   1866:     newm=savm;
                   1867:     /* Covariates have to be included here again */
1.138     brouard  1868:     cov[2]=agefin;
1.187     brouard  1869:     if(nagesqr==1)
                   1870:       cov[3]= agefin*agefin;;
1.138     brouard  1871:     for (k=1; k<=cptcovn;k++) {
1.187     brouard  1872:       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
1.145     brouard  1873:       /*printf("prevalim ij=%d k=%d Tvar[%d]=%d nbcode=%d cov=%lf codtab[%d][Tvar[%d]]=%d \n",ij,k, k, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k], ij, k, codtab[ij][Tvar[k]]);*/
1.138     brouard  1874:     }
1.186     brouard  1875:     /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.187     brouard  1876:     for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]]*cov[2];
1.186     brouard  1877:     for (k=1; k<=cptcovprod;k++) /* Useless */
1.187     brouard  1878:       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]] * nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
1.138     brouard  1879:     
                   1880:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   1881:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   1882:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  1883:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   1884:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.142     brouard  1885:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  1886:     
1.126     brouard  1887:     savm=oldm;
                   1888:     oldm=newm;
                   1889:     maxmax=0.;
                   1890:     for(j=1;j<=nlstate;j++){
                   1891:       min=1.;
                   1892:       max=0.;
                   1893:       for(i=1; i<=nlstate; i++) {
                   1894:        sumnew=0;
                   1895:        for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   1896:        prlim[i][j]= newm[i][j]/(1-sumnew);
1.145     brouard  1897:         /*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  1898:        max=FMAX(max,prlim[i][j]);
                   1899:        min=FMIN(min,prlim[i][j]);
                   1900:       }
                   1901:       maxmin=max-min;
                   1902:       maxmax=FMAX(maxmax,maxmin);
1.169     brouard  1903:     } /* j loop */
1.126     brouard  1904:     if(maxmax < ftolpl){
                   1905:       return prlim;
                   1906:     }
1.169     brouard  1907:   } /* age loop */
                   1908:   return prlim; /* should not reach here */
1.126     brouard  1909: }
                   1910: 
                   1911: /*************** transition probabilities ***************/ 
                   1912: 
                   1913: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   1914: {
1.138     brouard  1915:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   1916:      computes the probability to be observed in state j being in state i by appying the
                   1917:      model to the ncovmodel covariates (including constant and age).
                   1918:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   1919:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   1920:      ncth covariate in the global vector x is given by the formula:
                   1921:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   1922:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   1923:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   1924:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   1925:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   1926:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   1927:   */
                   1928:   double s1, lnpijopii;
1.126     brouard  1929:   /*double t34;*/
1.164     brouard  1930:   int i,j, nc, ii, jj;
1.126     brouard  1931: 
                   1932:     for(i=1; i<= nlstate; i++){
                   1933:       for(j=1; j<i;j++){
1.138     brouard  1934:        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   1935:          /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   1936:          lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   1937: /*      printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
1.126     brouard  1938:        }
1.138     brouard  1939:        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   1940: /*     printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
1.126     brouard  1941:       }
                   1942:       for(j=i+1; j<=nlstate+ndeath;j++){
1.138     brouard  1943:        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   1944:          /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   1945:          lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   1946: /*       printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
1.126     brouard  1947:        }
1.138     brouard  1948:        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
1.126     brouard  1949:       }
                   1950:     }
                   1951:     
                   1952:     for(i=1; i<= nlstate; i++){
                   1953:       s1=0;
1.131     brouard  1954:       for(j=1; j<i; j++){
1.138     brouard  1955:        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
1.131     brouard  1956:        /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   1957:       }
                   1958:       for(j=i+1; j<=nlstate+ndeath; j++){
1.138     brouard  1959:        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
1.131     brouard  1960:        /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   1961:       }
1.138     brouard  1962:       /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
1.126     brouard  1963:       ps[i][i]=1./(s1+1.);
1.138     brouard  1964:       /* Computing other pijs */
1.126     brouard  1965:       for(j=1; j<i; j++)
                   1966:        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   1967:       for(j=i+1; j<=nlstate+ndeath; j++)
                   1968:        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   1969:       /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   1970:     } /* end i */
                   1971:     
                   1972:     for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   1973:       for(jj=1; jj<= nlstate+ndeath; jj++){
                   1974:        ps[ii][jj]=0;
                   1975:        ps[ii][ii]=1;
                   1976:       }
                   1977:     }
                   1978:     
1.145     brouard  1979:     
                   1980:     /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   1981:     /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   1982:     /*         printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   1983:     /*   } */
                   1984:     /*   printf("\n "); */
                   1985:     /* } */
                   1986:     /* printf("\n ");printf("%lf ",cov[2]);*/
                   1987:     /*
1.126     brouard  1988:       for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   1989:       goto end;*/
                   1990:     return ps;
                   1991: }
                   1992: 
                   1993: /**************** Product of 2 matrices ******************/
                   1994: 
1.145     brouard  1995: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  1996: {
                   1997:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   1998:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   1999:   /* in, b, out are matrice of pointers which should have been initialized 
                   2000:      before: only the contents of out is modified. The function returns
                   2001:      a pointer to pointers identical to out */
1.145     brouard  2002:   int i, j, k;
1.126     brouard  2003:   for(i=nrl; i<= nrh; i++)
1.145     brouard  2004:     for(k=ncolol; k<=ncoloh; k++){
                   2005:       out[i][k]=0.;
                   2006:       for(j=ncl; j<=nch; j++)
                   2007:        out[i][k] +=in[i][j]*b[j][k];
                   2008:     }
1.126     brouard  2009:   return out;
                   2010: }
                   2011: 
                   2012: 
                   2013: /************* Higher Matrix Product ***************/
                   2014: 
                   2015: double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
                   2016: {
                   2017:   /* Computes the transition matrix starting at age 'age' over 
                   2018:      'nhstepm*hstepm*stepm' months (i.e. until
                   2019:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   2020:      nhstepm*hstepm matrices. 
                   2021:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   2022:      (typically every 2 years instead of every month which is too big 
                   2023:      for the memory).
                   2024:      Model is determined by parameters x and covariates have to be 
                   2025:      included manually here. 
                   2026: 
                   2027:      */
                   2028: 
                   2029:   int i, j, d, h, k;
1.131     brouard  2030:   double **out, cov[NCOVMAX+1];
1.126     brouard  2031:   double **newm;
1.187     brouard  2032:   double agexact;
1.126     brouard  2033: 
                   2034:   /* Hstepm could be zero and should return the unit matrix */
                   2035:   for (i=1;i<=nlstate+ndeath;i++)
                   2036:     for (j=1;j<=nlstate+ndeath;j++){
                   2037:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   2038:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   2039:     }
                   2040:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2041:   for(h=1; h <=nhstepm; h++){
                   2042:     for(d=1; d <=hstepm; d++){
                   2043:       newm=savm;
                   2044:       /* Covariates have to be included here again */
                   2045:       cov[1]=1.;
1.187     brouard  2046:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
                   2047:       cov[2]=agexact;
                   2048:       if(nagesqr==1)
                   2049:        cov[3]= agexact*agexact;
1.131     brouard  2050:       for (k=1; k<=cptcovn;k++) 
1.187     brouard  2051:        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
1.186     brouard  2052:       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
                   2053:        /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.187     brouard  2054:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtab[ij][Tvar[Tage[k]]]]*cov[2];
1.145     brouard  2055:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
1.187     brouard  2056:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
1.126     brouard  2057: 
                   2058: 
                   2059:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   2060:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
                   2061:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   2062:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2063:       savm=oldm;
                   2064:       oldm=newm;
                   2065:     }
                   2066:     for(i=1; i<=nlstate+ndeath; i++)
                   2067:       for(j=1;j<=nlstate+ndeath;j++) {
                   2068:        po[i][j][h]=newm[i][j];
1.128     brouard  2069:        /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  2070:       }
1.128     brouard  2071:     /*printf("h=%d ",h);*/
1.126     brouard  2072:   } /* end h */
1.128     brouard  2073: /*     printf("\n H=%d \n",h); */
1.126     brouard  2074:   return po;
                   2075: }
                   2076: 
1.162     brouard  2077: #ifdef NLOPT
                   2078:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   2079:   double fret;
                   2080:   double *xt;
                   2081:   int j;
                   2082:   myfunc_data *d2 = (myfunc_data *) pd;
                   2083: /* xt = (p1-1); */
                   2084:   xt=vector(1,n); 
                   2085:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   2086: 
                   2087:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   2088:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   2089:   printf("Function = %.12lf ",fret);
                   2090:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   2091:   printf("\n");
                   2092:  free_vector(xt,1,n);
                   2093:   return fret;
                   2094: }
                   2095: #endif
1.126     brouard  2096: 
                   2097: /*************** log-likelihood *************/
                   2098: double func( double *x)
                   2099: {
                   2100:   int i, ii, j, k, mi, d, kk;
1.131     brouard  2101:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  2102:   double **out;
                   2103:   double sw; /* Sum of weights */
                   2104:   double lli; /* Individual log likelihood */
                   2105:   int s1, s2;
                   2106:   double bbh, survp;
                   2107:   long ipmx;
1.187     brouard  2108:   double agexact;
1.126     brouard  2109:   /*extern weight */
                   2110:   /* We are differentiating ll according to initial status */
                   2111:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   2112:   /*for(i=1;i<imx;i++) 
                   2113:     printf(" %d\n",s[4][i]);
                   2114:   */
1.162     brouard  2115: 
                   2116:   ++countcallfunc;
                   2117: 
1.126     brouard  2118:   cov[1]=1.;
                   2119: 
                   2120:   for(k=1; k<=nlstate; k++) ll[k]=0.;
                   2121: 
                   2122:   if(mle==1){
                   2123:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.138     brouard  2124:       /* Computes the values of the ncovmodel covariates of the model
                   2125:         depending if the covariates are fixed or variying (age dependent) and stores them in cov[]
                   2126:         Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                   2127:         to be observed in j being in i according to the model.
                   2128:        */
1.145     brouard  2129:       for (k=1; k<=cptcovn;k++){ /* Simple and product covariates without age* products */
1.187     brouard  2130:          cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.145     brouard  2131:       }
1.137     brouard  2132:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
1.138     brouard  2133:         is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
1.137     brouard  2134:         has been calculated etc */
1.126     brouard  2135:       for(mi=1; mi<= wav[i]-1; mi++){
                   2136:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2137:          for (j=1;j<=nlstate+ndeath;j++){
                   2138:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2139:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2140:          }
                   2141:        for(d=0; d<dh[mi][i]; d++){
                   2142:          newm=savm;
1.187     brouard  2143:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2144:          cov[2]=agexact;
                   2145:          if(nagesqr==1)
                   2146:            cov[3]= agexact*agexact;
1.126     brouard  2147:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2148:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
1.126     brouard  2149:          }
                   2150:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2151:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2152:          savm=oldm;
                   2153:          oldm=newm;
                   2154:        } /* end mult */
                   2155:       
                   2156:        /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   2157:        /* But now since version 0.9 we anticipate for bias at large stepm.
                   2158:         * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   2159:         * (in months) between two waves is not a multiple of stepm, we rounded to 
                   2160:         * the nearest (and in case of equal distance, to the lowest) interval but now
                   2161:         * we keep into memory the bias bh[mi][i] and also the previous matrix product
                   2162:         * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                   2163:         * probability in order to take into account the bias as a fraction of the way
                   2164:         * from savm to out if bh is negative or even beyond if bh is positive. bh varies
                   2165:         * -stepm/2 to stepm/2 .
                   2166:         * For stepm=1 the results are the same as for previous versions of Imach.
                   2167:         * For stepm > 1 the results are less biased than in previous versions. 
                   2168:         */
                   2169:        s1=s[mw[mi][i]][i];
                   2170:        s2=s[mw[mi+1][i]][i];
                   2171:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2172:        /* bias bh is positive if real duration
                   2173:         * is higher than the multiple of stepm and negative otherwise.
                   2174:         */
                   2175:        /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
                   2176:        if( s2 > nlstate){ 
                   2177:          /* i.e. if s2 is a death state and if the date of death is known 
                   2178:             then the contribution to the likelihood is the probability to 
                   2179:             die between last step unit time and current  step unit time, 
                   2180:             which is also equal to probability to die before dh 
                   2181:             minus probability to die before dh-stepm . 
                   2182:             In version up to 0.92 likelihood was computed
                   2183:        as if date of death was unknown. Death was treated as any other
                   2184:        health state: the date of the interview describes the actual state
                   2185:        and not the date of a change in health state. The former idea was
                   2186:        to consider that at each interview the state was recorded
                   2187:        (healthy, disable or death) and IMaCh was corrected; but when we
                   2188:        introduced the exact date of death then we should have modified
                   2189:        the contribution of an exact death to the likelihood. This new
                   2190:        contribution is smaller and very dependent of the step unit
                   2191:        stepm. It is no more the probability to die between last interview
                   2192:        and month of death but the probability to survive from last
                   2193:        interview up to one month before death multiplied by the
                   2194:        probability to die within a month. Thanks to Chris
                   2195:        Jackson for correcting this bug.  Former versions increased
                   2196:        mortality artificially. The bad side is that we add another loop
                   2197:        which slows down the processing. The difference can be up to 10%
                   2198:        lower mortality.
                   2199:          */
1.183     brouard  2200:        /* If, at the beginning of the maximization mostly, the
                   2201:           cumulative probability or probability to be dead is
                   2202:           constant (ie = 1) over time d, the difference is equal to
                   2203:           0.  out[s1][3] = savm[s1][3]: probability, being at state
                   2204:           s1 at precedent wave, to be dead a month before current
                   2205:           wave is equal to probability, being at state s1 at
                   2206:           precedent wave, to be dead at mont of the current
                   2207:           wave. Then the observed probability (that this person died)
                   2208:           is null according to current estimated parameter. In fact,
                   2209:           it should be very low but not zero otherwise the log go to
                   2210:           infinity.
                   2211:        */
                   2212: /* #ifdef INFINITYORIGINAL */
                   2213: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   2214: /* #else */
                   2215: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   2216: /*         lli=log(mytinydouble); */
                   2217: /*       else */
                   2218: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   2219: /* #endif */
                   2220:            lli=log(out[s1][s2] - savm[s1][s2]);
1.126     brouard  2221: 
                   2222:        } else if  (s2==-2) {
                   2223:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   2224:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2225:          /*survp += out[s1][j]; */
                   2226:          lli= log(survp);
                   2227:        }
                   2228:        
                   2229:        else if  (s2==-4) { 
                   2230:          for (j=3,survp=0. ; j<=nlstate; j++)  
                   2231:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2232:          lli= log(survp); 
                   2233:        } 
                   2234: 
                   2235:        else if  (s2==-5) { 
                   2236:          for (j=1,survp=0. ; j<=2; j++)  
                   2237:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2238:          lli= log(survp); 
                   2239:        } 
                   2240:        
                   2241:        else{
                   2242:          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2243:          /*  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 */
                   2244:        } 
                   2245:        /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                   2246:        /*if(lli ==000.0)*/
                   2247:        /*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); */
                   2248:        ipmx +=1;
                   2249:        sw += weight[i];
                   2250:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.183     brouard  2251:        /* if (lli < log(mytinydouble)){ */
                   2252:        /*   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); */
                   2253:        /*   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]); */
                   2254:        /* } */
1.126     brouard  2255:       } /* end of wave */
                   2256:     } /* end of individual */
                   2257:   }  else if(mle==2){
                   2258:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2259:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2260:       for(mi=1; mi<= wav[i]-1; mi++){
                   2261:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2262:          for (j=1;j<=nlstate+ndeath;j++){
                   2263:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2264:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2265:          }
                   2266:        for(d=0; d<=dh[mi][i]; d++){
                   2267:          newm=savm;
1.187     brouard  2268:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2269:          cov[2]=agexact;
                   2270:          if(nagesqr==1)
                   2271:            cov[3]= agexact*agexact;
1.126     brouard  2272:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2273:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2274:          }
                   2275:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2276:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2277:          savm=oldm;
                   2278:          oldm=newm;
                   2279:        } /* end mult */
                   2280:       
                   2281:        s1=s[mw[mi][i]][i];
                   2282:        s2=s[mw[mi+1][i]][i];
                   2283:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2284:        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 */
                   2285:        ipmx +=1;
                   2286:        sw += weight[i];
                   2287:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2288:       } /* end of wave */
                   2289:     } /* end of individual */
                   2290:   }  else if(mle==3){  /* exponential inter-extrapolation */
                   2291:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2292:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2293:       for(mi=1; mi<= wav[i]-1; mi++){
                   2294:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2295:          for (j=1;j<=nlstate+ndeath;j++){
                   2296:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2297:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2298:          }
                   2299:        for(d=0; d<dh[mi][i]; d++){
                   2300:          newm=savm;
1.187     brouard  2301:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2302:          cov[2]=agexact;
                   2303:          if(nagesqr==1)
                   2304:            cov[3]= agexact*agexact;
1.126     brouard  2305:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2306:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2307:          }
                   2308:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2309:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2310:          savm=oldm;
                   2311:          oldm=newm;
                   2312:        } /* end mult */
                   2313:       
                   2314:        s1=s[mw[mi][i]][i];
                   2315:        s2=s[mw[mi+1][i]][i];
                   2316:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2317:        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 */
                   2318:        ipmx +=1;
                   2319:        sw += weight[i];
                   2320:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2321:       } /* end of wave */
                   2322:     } /* end of individual */
                   2323:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
                   2324:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2325:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2326:       for(mi=1; mi<= wav[i]-1; mi++){
                   2327:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2328:          for (j=1;j<=nlstate+ndeath;j++){
                   2329:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2330:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2331:          }
                   2332:        for(d=0; d<dh[mi][i]; d++){
                   2333:          newm=savm;
1.187     brouard  2334:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2335:          cov[2]=agexact;
                   2336:          if(nagesqr==1)
                   2337:            cov[3]= agexact*agexact;
1.126     brouard  2338:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2339:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2340:          }
                   2341:        
                   2342:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2343:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2344:          savm=oldm;
                   2345:          oldm=newm;
                   2346:        } /* end mult */
                   2347:       
                   2348:        s1=s[mw[mi][i]][i];
                   2349:        s2=s[mw[mi+1][i]][i];
                   2350:        if( s2 > nlstate){ 
                   2351:          lli=log(out[s1][s2] - savm[s1][s2]);
                   2352:        }else{
                   2353:          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   2354:        }
                   2355:        ipmx +=1;
                   2356:        sw += weight[i];
                   2357:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2358: /*     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]); */
                   2359:       } /* end of wave */
                   2360:     } /* end of individual */
                   2361:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
                   2362:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2363:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2364:       for(mi=1; mi<= wav[i]-1; mi++){
                   2365:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2366:          for (j=1;j<=nlstate+ndeath;j++){
                   2367:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2368:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2369:          }
                   2370:        for(d=0; d<dh[mi][i]; d++){
                   2371:          newm=savm;
1.187     brouard  2372:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2373:          cov[2]=agexact;
                   2374:          if(nagesqr==1)
                   2375:            cov[3]= agexact*agexact;
1.126     brouard  2376:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2377:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2378:          }
                   2379:        
                   2380:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2381:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2382:          savm=oldm;
                   2383:          oldm=newm;
                   2384:        } /* end mult */
                   2385:       
                   2386:        s1=s[mw[mi][i]][i];
                   2387:        s2=s[mw[mi+1][i]][i];
                   2388:        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   2389:        ipmx +=1;
                   2390:        sw += weight[i];
                   2391:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2392:        /*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]);*/
                   2393:       } /* end of wave */
                   2394:     } /* end of individual */
                   2395:   } /* End of if */
                   2396:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   2397:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   2398:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   2399:   return -l;
                   2400: }
                   2401: 
                   2402: /*************** log-likelihood *************/
                   2403: double funcone( double *x)
                   2404: {
                   2405:   /* Same as likeli but slower because of a lot of printf and if */
                   2406:   int i, ii, j, k, mi, d, kk;
1.131     brouard  2407:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  2408:   double **out;
                   2409:   double lli; /* Individual log likelihood */
                   2410:   double llt;
                   2411:   int s1, s2;
                   2412:   double bbh, survp;
1.187     brouard  2413:   double agexact;
1.126     brouard  2414:   /*extern weight */
                   2415:   /* We are differentiating ll according to initial status */
                   2416:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   2417:   /*for(i=1;i<imx;i++) 
                   2418:     printf(" %d\n",s[4][i]);
                   2419:   */
                   2420:   cov[1]=1.;
                   2421: 
                   2422:   for(k=1; k<=nlstate; k++) ll[k]=0.;
                   2423: 
                   2424:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2425:     for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2426:     for(mi=1; mi<= wav[i]-1; mi++){
                   2427:       for (ii=1;ii<=nlstate+ndeath;ii++)
                   2428:        for (j=1;j<=nlstate+ndeath;j++){
                   2429:          oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2430:          savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2431:        }
                   2432:       for(d=0; d<dh[mi][i]; d++){
                   2433:        newm=savm;
1.187     brouard  2434:        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2435:        cov[2]=agexact;
                   2436:        if(nagesqr==1)
                   2437:          cov[3]= agexact*agexact;
1.126     brouard  2438:        for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2439:          cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2440:        }
1.187     brouard  2441: 
1.145     brouard  2442:        /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
1.126     brouard  2443:        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2444:                     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
1.145     brouard  2445:        /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
                   2446:        /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
1.126     brouard  2447:        savm=oldm;
                   2448:        oldm=newm;
                   2449:       } /* end mult */
                   2450:       
                   2451:       s1=s[mw[mi][i]][i];
                   2452:       s2=s[mw[mi+1][i]][i];
                   2453:       bbh=(double)bh[mi][i]/(double)stepm; 
                   2454:       /* bias is positive if real duration
                   2455:        * is higher than the multiple of stepm and negative otherwise.
                   2456:        */
                   2457:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
                   2458:        lli=log(out[s1][s2] - savm[s1][s2]);
                   2459:       } else if  (s2==-2) {
                   2460:        for (j=1,survp=0. ; j<=nlstate; j++) 
                   2461:          survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2462:        lli= log(survp);
                   2463:       }else if (mle==1){
                   2464:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2465:       } else if(mle==2){
                   2466:        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 */
                   2467:       } else if(mle==3){  /* exponential inter-extrapolation */
                   2468:        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 */
                   2469:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
                   2470:        lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  2471:       } else{  /* mle=0 back to 1 */
                   2472:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2473:        /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  2474:       } /* End of if */
                   2475:       ipmx +=1;
                   2476:       sw += weight[i];
                   2477:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  2478:       /*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  2479:       if(globpr){
1.141     brouard  2480:        fprintf(ficresilk,"%9ld %6d %2d %2d %1d %1d %3d %11.6f %8.4f\
1.126     brouard  2481:  %11.6f %11.6f %11.6f ", \
                   2482:                num[i],i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],
                   2483:                2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
                   2484:        for(k=1,llt=0.,l=0.; k<=nlstate; k++){
                   2485:          llt +=ll[k]*gipmx/gsw;
                   2486:          fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                   2487:        }
                   2488:        fprintf(ficresilk," %10.6f\n", -llt);
                   2489:       }
                   2490:     } /* end of wave */
                   2491:   } /* end of individual */
                   2492:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   2493:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   2494:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   2495:   if(globpr==0){ /* First time we count the contributions and weights */
                   2496:     gipmx=ipmx;
                   2497:     gsw=sw;
                   2498:   }
                   2499:   return -l;
                   2500: }
                   2501: 
                   2502: 
                   2503: /*************** function likelione ***********/
                   2504: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
                   2505: {
                   2506:   /* This routine should help understanding what is done with 
                   2507:      the selection of individuals/waves and
                   2508:      to check the exact contribution to the likelihood.
                   2509:      Plotting could be done.
                   2510:    */
                   2511:   int k;
                   2512: 
                   2513:   if(*globpri !=0){ /* Just counts and sums, no printings */
                   2514:     strcpy(fileresilk,"ilk"); 
                   2515:     strcat(fileresilk,fileres);
                   2516:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   2517:       printf("Problem with resultfile: %s\n", fileresilk);
                   2518:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   2519:     }
                   2520:     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");
                   2521:     fprintf(ficresilk, "#num_i i s1 s2 mi mw dh likeli weight 2wlli out sav ");
                   2522:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   2523:     for(k=1; k<=nlstate; k++) 
                   2524:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   2525:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   2526:   }
                   2527: 
                   2528:   *fretone=(*funcone)(p);
                   2529:   if(*globpri !=0){
                   2530:     fclose(ficresilk);
                   2531:     fprintf(fichtm,"\n<br>File of contributions to the likelihood: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));
                   2532:     fflush(fichtm); 
                   2533:   } 
                   2534:   return;
                   2535: }
                   2536: 
                   2537: 
                   2538: /*********** Maximum Likelihood Estimation ***************/
                   2539: 
                   2540: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   2541: {
1.165     brouard  2542:   int i,j, iter=0;
1.126     brouard  2543:   double **xi;
                   2544:   double fret;
                   2545:   double fretone; /* Only one call to likelihood */
                   2546:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  2547: 
                   2548: #ifdef NLOPT
                   2549:   int creturn;
                   2550:   nlopt_opt opt;
                   2551:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   2552:   double *lb;
                   2553:   double minf; /* the minimum objective value, upon return */
                   2554:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   2555:   myfunc_data dinst, *d = &dinst;
                   2556: #endif
                   2557: 
                   2558: 
1.126     brouard  2559:   xi=matrix(1,npar,1,npar);
                   2560:   for (i=1;i<=npar;i++)
                   2561:     for (j=1;j<=npar;j++)
                   2562:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   2563:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
                   2564:   strcpy(filerespow,"pow"); 
                   2565:   strcat(filerespow,fileres);
                   2566:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   2567:     printf("Problem with resultfile: %s\n", filerespow);
                   2568:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   2569:   }
                   2570:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   2571:   for (i=1;i<=nlstate;i++)
                   2572:     for(j=1;j<=nlstate+ndeath;j++)
                   2573:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   2574:   fprintf(ficrespow,"\n");
1.162     brouard  2575: #ifdef POWELL
1.126     brouard  2576:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.162     brouard  2577: #endif
1.126     brouard  2578: 
1.162     brouard  2579: #ifdef NLOPT
                   2580: #ifdef NEWUOA
                   2581:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   2582: #else
                   2583:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   2584: #endif
                   2585:   lb=vector(0,npar-1);
                   2586:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   2587:   nlopt_set_lower_bounds(opt, lb);
                   2588:   nlopt_set_initial_step1(opt, 0.1);
                   2589:   
                   2590:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   2591:   d->function = func;
                   2592:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   2593:   nlopt_set_min_objective(opt, myfunc, d);
                   2594:   nlopt_set_xtol_rel(opt, ftol);
                   2595:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   2596:     printf("nlopt failed! %d\n",creturn); 
                   2597:   }
                   2598:   else {
                   2599:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   2600:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   2601:     iter=1; /* not equal */
                   2602:   }
                   2603:   nlopt_destroy(opt);
                   2604: #endif
1.126     brouard  2605:   free_matrix(xi,1,npar,1,npar);
                   2606:   fclose(ficrespow);
1.180     brouard  2607:   printf("#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   2608:   fprintf(ficlog,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   2609:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  2610: 
                   2611: }
                   2612: 
                   2613: /**** Computes Hessian and covariance matrix ***/
                   2614: void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
                   2615: {
                   2616:   double  **a,**y,*x,pd;
                   2617:   double **hess;
1.164     brouard  2618:   int i, j;
1.126     brouard  2619:   int *indx;
                   2620: 
                   2621:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
                   2622:   double hessij(double p[], double delti[], int i, int j,double (*func)(double []),int npar);
                   2623:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   2624:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   2625:   double gompertz(double p[]);
                   2626:   hess=matrix(1,npar,1,npar);
                   2627: 
                   2628:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   2629:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   2630:   for (i=1;i<=npar;i++){
                   2631:     printf("%d",i);fflush(stdout);
                   2632:     fprintf(ficlog,"%d",i);fflush(ficlog);
                   2633:    
                   2634:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   2635:     
                   2636:     /*  printf(" %f ",p[i]);
                   2637:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   2638:   }
                   2639:   
                   2640:   for (i=1;i<=npar;i++) {
                   2641:     for (j=1;j<=npar;j++)  {
                   2642:       if (j>i) { 
                   2643:        printf(".%d%d",i,j);fflush(stdout);
                   2644:        fprintf(ficlog,".%d%d",i,j);fflush(ficlog);
                   2645:        hess[i][j]=hessij(p,delti,i,j,func,npar);
                   2646:        
                   2647:        hess[j][i]=hess[i][j];    
                   2648:        /*printf(" %lf ",hess[i][j]);*/
                   2649:       }
                   2650:     }
                   2651:   }
                   2652:   printf("\n");
                   2653:   fprintf(ficlog,"\n");
                   2654: 
                   2655:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   2656:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   2657:   
                   2658:   a=matrix(1,npar,1,npar);
                   2659:   y=matrix(1,npar,1,npar);
                   2660:   x=vector(1,npar);
                   2661:   indx=ivector(1,npar);
                   2662:   for (i=1;i<=npar;i++)
                   2663:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   2664:   ludcmp(a,npar,indx,&pd);
                   2665: 
                   2666:   for (j=1;j<=npar;j++) {
                   2667:     for (i=1;i<=npar;i++) x[i]=0;
                   2668:     x[j]=1;
                   2669:     lubksb(a,npar,indx,x);
                   2670:     for (i=1;i<=npar;i++){ 
                   2671:       matcov[i][j]=x[i];
                   2672:     }
                   2673:   }
                   2674: 
                   2675:   printf("\n#Hessian matrix#\n");
                   2676:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   2677:   for (i=1;i<=npar;i++) { 
                   2678:     for (j=1;j<=npar;j++) { 
                   2679:       printf("%.3e ",hess[i][j]);
                   2680:       fprintf(ficlog,"%.3e ",hess[i][j]);
                   2681:     }
                   2682:     printf("\n");
                   2683:     fprintf(ficlog,"\n");
                   2684:   }
                   2685: 
                   2686:   /* Recompute Inverse */
                   2687:   for (i=1;i<=npar;i++)
                   2688:     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];
                   2689:   ludcmp(a,npar,indx,&pd);
                   2690: 
                   2691:   /*  printf("\n#Hessian matrix recomputed#\n");
                   2692: 
                   2693:   for (j=1;j<=npar;j++) {
                   2694:     for (i=1;i<=npar;i++) x[i]=0;
                   2695:     x[j]=1;
                   2696:     lubksb(a,npar,indx,x);
                   2697:     for (i=1;i<=npar;i++){ 
                   2698:       y[i][j]=x[i];
                   2699:       printf("%.3e ",y[i][j]);
                   2700:       fprintf(ficlog,"%.3e ",y[i][j]);
                   2701:     }
                   2702:     printf("\n");
                   2703:     fprintf(ficlog,"\n");
                   2704:   }
                   2705:   */
                   2706: 
                   2707:   free_matrix(a,1,npar,1,npar);
                   2708:   free_matrix(y,1,npar,1,npar);
                   2709:   free_vector(x,1,npar);
                   2710:   free_ivector(indx,1,npar);
                   2711:   free_matrix(hess,1,npar,1,npar);
                   2712: 
                   2713: 
                   2714: }
                   2715: 
                   2716: /*************** hessian matrix ****************/
                   2717: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
                   2718: {
                   2719:   int i;
                   2720:   int l=1, lmax=20;
                   2721:   double k1,k2;
1.132     brouard  2722:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  2723:   double res;
                   2724:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   2725:   double fx;
                   2726:   int k=0,kmax=10;
                   2727:   double l1;
                   2728: 
                   2729:   fx=func(x);
                   2730:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  2731:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  2732:     l1=pow(10,l);
                   2733:     delts=delt;
                   2734:     for(k=1 ; k <kmax; k=k+1){
                   2735:       delt = delta*(l1*k);
                   2736:       p2[theta]=x[theta] +delt;
1.145     brouard  2737:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  2738:       p2[theta]=x[theta]-delt;
                   2739:       k2=func(p2)-fx;
                   2740:       /*res= (k1-2.0*fx+k2)/delt/delt; */
                   2741:       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */
                   2742:       
1.132     brouard  2743: #ifdef DEBUGHESS
1.126     brouard  2744:       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);
                   2745:       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);
                   2746: #endif
                   2747:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   2748:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   2749:        k=kmax;
                   2750:       }
                   2751:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  2752:        k=kmax; l=lmax*10;
1.126     brouard  2753:       }
                   2754:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   2755:        delts=delt;
                   2756:       }
                   2757:     }
                   2758:   }
                   2759:   delti[theta]=delts;
                   2760:   return res; 
                   2761:   
                   2762: }
                   2763: 
                   2764: double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
                   2765: {
                   2766:   int i;
1.164     brouard  2767:   int l=1, lmax=20;
1.126     brouard  2768:   double k1,k2,k3,k4,res,fx;
1.132     brouard  2769:   double p2[MAXPARM+1];
1.126     brouard  2770:   int k;
                   2771: 
                   2772:   fx=func(x);
                   2773:   for (k=1; k<=2; k++) {
                   2774:     for (i=1;i<=npar;i++) p2[i]=x[i];
                   2775:     p2[thetai]=x[thetai]+delti[thetai]/k;
                   2776:     p2[thetaj]=x[thetaj]+delti[thetaj]/k;
                   2777:     k1=func(p2)-fx;
                   2778:   
                   2779:     p2[thetai]=x[thetai]+delti[thetai]/k;
                   2780:     p2[thetaj]=x[thetaj]-delti[thetaj]/k;
                   2781:     k2=func(p2)-fx;
                   2782:   
                   2783:     p2[thetai]=x[thetai]-delti[thetai]/k;
                   2784:     p2[thetaj]=x[thetaj]+delti[thetaj]/k;
                   2785:     k3=func(p2)-fx;
                   2786:   
                   2787:     p2[thetai]=x[thetai]-delti[thetai]/k;
                   2788:     p2[thetaj]=x[thetaj]-delti[thetaj]/k;
                   2789:     k4=func(p2)-fx;
                   2790:     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */
                   2791: #ifdef DEBUG
                   2792:     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);
                   2793:     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);
                   2794: #endif
                   2795:   }
                   2796:   return res;
                   2797: }
                   2798: 
                   2799: /************** Inverse of matrix **************/
                   2800: void ludcmp(double **a, int n, int *indx, double *d) 
                   2801: { 
                   2802:   int i,imax,j,k; 
                   2803:   double big,dum,sum,temp; 
                   2804:   double *vv; 
                   2805:  
                   2806:   vv=vector(1,n); 
                   2807:   *d=1.0; 
                   2808:   for (i=1;i<=n;i++) { 
                   2809:     big=0.0; 
                   2810:     for (j=1;j<=n;j++) 
                   2811:       if ((temp=fabs(a[i][j])) > big) big=temp; 
                   2812:     if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
                   2813:     vv[i]=1.0/big; 
                   2814:   } 
                   2815:   for (j=1;j<=n;j++) { 
                   2816:     for (i=1;i<j;i++) { 
                   2817:       sum=a[i][j]; 
                   2818:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   2819:       a[i][j]=sum; 
                   2820:     } 
                   2821:     big=0.0; 
                   2822:     for (i=j;i<=n;i++) { 
                   2823:       sum=a[i][j]; 
                   2824:       for (k=1;k<j;k++) 
                   2825:        sum -= a[i][k]*a[k][j]; 
                   2826:       a[i][j]=sum; 
                   2827:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   2828:        big=dum; 
                   2829:        imax=i; 
                   2830:       } 
                   2831:     } 
                   2832:     if (j != imax) { 
                   2833:       for (k=1;k<=n;k++) { 
                   2834:        dum=a[imax][k]; 
                   2835:        a[imax][k]=a[j][k]; 
                   2836:        a[j][k]=dum; 
                   2837:       } 
                   2838:       *d = -(*d); 
                   2839:       vv[imax]=vv[j]; 
                   2840:     } 
                   2841:     indx[j]=imax; 
                   2842:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   2843:     if (j != n) { 
                   2844:       dum=1.0/(a[j][j]); 
                   2845:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   2846:     } 
                   2847:   } 
                   2848:   free_vector(vv,1,n);  /* Doesn't work */
                   2849: ;
                   2850: } 
                   2851: 
                   2852: void lubksb(double **a, int n, int *indx, double b[]) 
                   2853: { 
                   2854:   int i,ii=0,ip,j; 
                   2855:   double sum; 
                   2856:  
                   2857:   for (i=1;i<=n;i++) { 
                   2858:     ip=indx[i]; 
                   2859:     sum=b[ip]; 
                   2860:     b[ip]=b[i]; 
                   2861:     if (ii) 
                   2862:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   2863:     else if (sum) ii=i; 
                   2864:     b[i]=sum; 
                   2865:   } 
                   2866:   for (i=n;i>=1;i--) { 
                   2867:     sum=b[i]; 
                   2868:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   2869:     b[i]=sum/a[i][i]; 
                   2870:   } 
                   2871: } 
                   2872: 
                   2873: void pstamp(FILE *fichier)
                   2874: {
                   2875:   fprintf(fichier,"# %s.%s\n#%s\n#%s\n# %s", optionfilefiname,optionfilext,version,fullversion,strstart);
                   2876: }
                   2877: 
                   2878: /************ Frequencies ********************/
                   2879: 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[])
                   2880: {  /* Some frequencies */
                   2881:   
1.164     brouard  2882:   int i, m, jk, j1, bool, z1,j;
1.126     brouard  2883:   int first;
                   2884:   double ***freq; /* Frequencies */
                   2885:   double *pp, **prop;
                   2886:   double pos,posprop, k2, dateintsum=0,k2cpt=0;
                   2887:   char fileresp[FILENAMELENGTH];
                   2888:   
                   2889:   pp=vector(1,nlstate);
                   2890:   prop=matrix(1,nlstate,iagemin,iagemax+3);
                   2891:   strcpy(fileresp,"p");
                   2892:   strcat(fileresp,fileres);
                   2893:   if((ficresp=fopen(fileresp,"w"))==NULL) {
                   2894:     printf("Problem with prevalence resultfile: %s\n", fileresp);
                   2895:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
                   2896:     exit(0);
                   2897:   }
                   2898:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin,iagemax+3);
                   2899:   j1=0;
                   2900:   
                   2901:   j=cptcoveff;
                   2902:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
                   2903: 
                   2904:   first=1;
                   2905: 
1.169     brouard  2906:   /* for(k1=1; k1<=j ; k1++){ */  /* Loop on covariates */
                   2907:   /*  for(i1=1; i1<=ncodemax[k1];i1++){ */ /* Now it is 2 */
                   2908:   /*    j1++; */
1.145     brouard  2909:   for (j1 = 1; j1 <= (int) pow(2,cptcoveff); j1++){
1.126     brouard  2910:       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
                   2911:        scanf("%d", i);*/
                   2912:       for (i=-5; i<=nlstate+ndeath; i++)  
                   2913:        for (jk=-5; jk<=nlstate+ndeath; jk++)  
                   2914:          for(m=iagemin; m <= iagemax+3; m++)
                   2915:            freq[i][jk][m]=0;
1.143     brouard  2916:       
                   2917:       for (i=1; i<=nlstate; i++)  
                   2918:        for(m=iagemin; m <= iagemax+3; m++)
                   2919:          prop[i][m]=0;
1.126     brouard  2920:       
                   2921:       dateintsum=0;
                   2922:       k2cpt=0;
                   2923:       for (i=1; i<=imx; i++) {
                   2924:        bool=1;
1.144     brouard  2925:        if  (cptcovn>0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
                   2926:          for (z1=1; z1<=cptcoveff; z1++)       
                   2927:             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]){
1.145     brouard  2928:                 /* Tests if the value of each of the covariates of i is equal to filter j1 */
1.144     brouard  2929:               bool=0;
1.145     brouard  2930:               /* printf("bool=%d i=%d, z1=%d, Tvaraff[%d]=%d, covar[Tvarff][%d]=%2f, codtab[%d][%d]=%d, nbcode[Tvaraff][codtab[%d][%d]=%d, j1=%d\n", 
                   2931:                 bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtab[j1][z1],
                   2932:                 j1,z1,nbcode[Tvaraff[z1]][codtab[j1][z1]],j1);*/
1.144     brouard  2933:               /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtab[7][3]=1 and nbcde[3][?]=1*/
                   2934:             } 
1.126     brouard  2935:        }
1.144     brouard  2936:  
1.126     brouard  2937:        if (bool==1){
                   2938:          for(m=firstpass; m<=lastpass; m++){
                   2939:            k2=anint[m][i]+(mint[m][i]/12.);
                   2940:            /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   2941:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   2942:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
                   2943:              if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
                   2944:              if (m<lastpass) {
                   2945:                freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
                   2946:                freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];
                   2947:              }
                   2948:              
                   2949:              if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {
                   2950:                dateintsum=dateintsum+k2;
                   2951:                k2cpt++;
                   2952:              }
                   2953:              /*}*/
                   2954:          }
                   2955:        }
1.145     brouard  2956:       } /* end i */
1.126     brouard  2957:        
                   2958:       /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
                   2959:       pstamp(ficresp);
                   2960:       if  (cptcovn>0) {
                   2961:        fprintf(ficresp, "\n#********** Variable "); 
                   2962:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
                   2963:        fprintf(ficresp, "**********\n#");
1.143     brouard  2964:        fprintf(ficlog, "\n#********** Variable "); 
                   2965:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
                   2966:        fprintf(ficlog, "**********\n#");
1.126     brouard  2967:       }
                   2968:       for(i=1; i<=nlstate;i++) 
                   2969:        fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
                   2970:       fprintf(ficresp, "\n");
                   2971:       
                   2972:       for(i=iagemin; i <= iagemax+3; i++){
                   2973:        if(i==iagemax+3){
                   2974:          fprintf(ficlog,"Total");
                   2975:        }else{
                   2976:          if(first==1){
                   2977:            first=0;
                   2978:            printf("See log file for details...\n");
                   2979:          }
                   2980:          fprintf(ficlog,"Age %d", i);
                   2981:        }
                   2982:        for(jk=1; jk <=nlstate ; jk++){
                   2983:          for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
                   2984:            pp[jk] += freq[jk][m][i]; 
                   2985:        }
                   2986:        for(jk=1; jk <=nlstate ; jk++){
                   2987:          for(m=-1, pos=0; m <=0 ; m++)
                   2988:            pos += freq[jk][m][i];
                   2989:          if(pp[jk]>=1.e-10){
                   2990:            if(first==1){
1.132     brouard  2991:              printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
1.126     brouard  2992:            }
                   2993:            fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
                   2994:          }else{
                   2995:            if(first==1)
                   2996:              printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   2997:            fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   2998:          }
                   2999:        }
                   3000: 
                   3001:        for(jk=1; jk <=nlstate ; jk++){
                   3002:          for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
                   3003:            pp[jk] += freq[jk][m][i];
                   3004:        }       
                   3005:        for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
                   3006:          pos += pp[jk];
                   3007:          posprop += prop[jk][i];
                   3008:        }
                   3009:        for(jk=1; jk <=nlstate ; jk++){
                   3010:          if(pos>=1.e-5){
                   3011:            if(first==1)
                   3012:              printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   3013:            fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   3014:          }else{
                   3015:            if(first==1)
                   3016:              printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   3017:            fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   3018:          }
                   3019:          if( i <= iagemax){
                   3020:            if(pos>=1.e-5){
                   3021:              fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
                   3022:              /*probs[i][jk][j1]= pp[jk]/pos;*/
                   3023:              /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
                   3024:            }
                   3025:            else
                   3026:              fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
                   3027:          }
                   3028:        }
                   3029:        
                   3030:        for(jk=-1; jk <=nlstate+ndeath; jk++)
                   3031:          for(m=-1; m <=nlstate+ndeath; m++)
                   3032:            if(freq[jk][m][i] !=0 ) {
                   3033:            if(first==1)
                   3034:              printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
                   3035:              fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
                   3036:            }
                   3037:        if(i <= iagemax)
                   3038:          fprintf(ficresp,"\n");
                   3039:        if(first==1)
                   3040:          printf("Others in log...\n");
                   3041:        fprintf(ficlog,"\n");
                   3042:       }
1.145     brouard  3043:       /*}*/
1.126     brouard  3044:   }
                   3045:   dateintmean=dateintsum/k2cpt; 
                   3046:  
                   3047:   fclose(ficresp);
                   3048:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin, iagemax+3);
                   3049:   free_vector(pp,1,nlstate);
                   3050:   free_matrix(prop,1,nlstate,iagemin, iagemax+3);
                   3051:   /* End of Freq */
                   3052: }
                   3053: 
                   3054: /************ Prevalence ********************/
                   3055: 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)
                   3056: {  
                   3057:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   3058:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   3059:      We still use firstpass and lastpass as another selection.
                   3060:   */
                   3061:  
1.164     brouard  3062:   int i, m, jk, j1, bool, z1,j;
                   3063: 
                   3064:   double **prop;
                   3065:   double posprop; 
1.126     brouard  3066:   double  y2; /* in fractional years */
                   3067:   int iagemin, iagemax;
1.145     brouard  3068:   int first; /** to stop verbosity which is redirected to log file */
1.126     brouard  3069: 
                   3070:   iagemin= (int) agemin;
                   3071:   iagemax= (int) agemax;
                   3072:   /*pp=vector(1,nlstate);*/
                   3073:   prop=matrix(1,nlstate,iagemin,iagemax+3); 
                   3074:   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   3075:   j1=0;
                   3076:   
1.145     brouard  3077:   /*j=cptcoveff;*/
1.126     brouard  3078:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
                   3079:   
1.145     brouard  3080:   first=1;
                   3081:   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){
                   3082:     /*for(i1=1; i1<=ncodemax[k1];i1++){
                   3083:       j1++;*/
1.126     brouard  3084:       
                   3085:       for (i=1; i<=nlstate; i++)  
                   3086:        for(m=iagemin; m <= iagemax+3; m++)
                   3087:          prop[i][m]=0.0;
                   3088:      
                   3089:       for (i=1; i<=imx; i++) { /* Each individual */
                   3090:        bool=1;
                   3091:        if  (cptcovn>0) {
                   3092:          for (z1=1; z1<=cptcoveff; z1++) 
                   3093:            if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
                   3094:              bool=0;
                   3095:        } 
                   3096:        if (bool==1) { 
                   3097:          for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
                   3098:            y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                   3099:            if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                   3100:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   3101:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
                   3102:              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); 
                   3103:              if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   3104:                /*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]]);*/
                   3105:                prop[s[m][i]][(int)agev[m][i]] += weight[i];
                   3106:                prop[s[m][i]][iagemax+3] += weight[i]; 
                   3107:              } 
                   3108:            }
                   3109:          } /* end selection of waves */
                   3110:        }
                   3111:       }
                   3112:       for(i=iagemin; i <= iagemax+3; i++){  
                   3113:        for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
                   3114:          posprop += prop[jk][i]; 
                   3115:        } 
1.145     brouard  3116:        
1.126     brouard  3117:        for(jk=1; jk <=nlstate ; jk++){     
                   3118:          if( i <=  iagemax){ 
                   3119:            if(posprop>=1.e-5){ 
                   3120:              probs[i][jk][j1]= prop[jk][i]/posprop;
1.145     brouard  3121:            } else{
                   3122:              if(first==1){
                   3123:                first=0;
                   3124:                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]);
                   3125:              }
                   3126:            }
1.126     brouard  3127:          } 
                   3128:        }/* end jk */ 
                   3129:       }/* end i */ 
1.145     brouard  3130:     /*} *//* end i1 */
                   3131:   } /* end j1 */
1.126     brouard  3132:   
                   3133:   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   3134:   /*free_vector(pp,1,nlstate);*/
                   3135:   free_matrix(prop,1,nlstate, iagemin,iagemax+3);
                   3136: }  /* End of prevalence */
                   3137: 
                   3138: /************* Waves Concatenation ***************/
                   3139: 
                   3140: 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)
                   3141: {
                   3142:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   3143:      Death is a valid wave (if date is known).
                   3144:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   3145:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   3146:      and mw[mi+1][i]. dh depends on stepm.
                   3147:      */
                   3148: 
                   3149:   int i, mi, m;
                   3150:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   3151:      double sum=0., jmean=0.;*/
                   3152:   int first;
                   3153:   int j, k=0,jk, ju, jl;
                   3154:   double sum=0.;
                   3155:   first=0;
1.164     brouard  3156:   jmin=100000;
1.126     brouard  3157:   jmax=-1;
                   3158:   jmean=0.;
                   3159:   for(i=1; i<=imx; i++){
                   3160:     mi=0;
                   3161:     m=firstpass;
                   3162:     while(s[m][i] <= nlstate){
                   3163:       if(s[m][i]>=1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5)
                   3164:        mw[++mi][i]=m;
                   3165:       if(m >=lastpass)
                   3166:        break;
                   3167:       else
                   3168:        m++;
                   3169:     }/* end while */
                   3170:     if (s[m][i] > nlstate){
                   3171:       mi++;    /* Death is another wave */
                   3172:       /* if(mi==0)  never been interviewed correctly before death */
                   3173:         /* Only death is a correct wave */
                   3174:       mw[mi][i]=m;
                   3175:     }
                   3176: 
                   3177:     wav[i]=mi;
                   3178:     if(mi==0){
                   3179:       nbwarn++;
                   3180:       if(first==0){
                   3181:        printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   3182:        first=1;
                   3183:       }
                   3184:       if(first==1){
                   3185:        fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
                   3186:       }
                   3187:     } /* end mi==0 */
                   3188:   } /* End individuals */
                   3189: 
                   3190:   for(i=1; i<=imx; i++){
                   3191:     for(mi=1; mi<wav[i];mi++){
                   3192:       if (stepm <=0)
                   3193:        dh[mi][i]=1;
                   3194:       else{
                   3195:        if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
                   3196:          if (agedc[i] < 2*AGESUP) {
                   3197:            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   3198:            if(j==0) j=1;  /* Survives at least one month after exam */
                   3199:            else if(j<0){
                   3200:              nberr++;
                   3201:              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]);
                   3202:              j=1; /* Temporary Dangerous patch */
                   3203:              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);
                   3204:              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]);
                   3205:              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);
                   3206:            }
                   3207:            k=k+1;
                   3208:            if (j >= jmax){
                   3209:              jmax=j;
                   3210:              ijmax=i;
                   3211:            }
                   3212:            if (j <= jmin){
                   3213:              jmin=j;
                   3214:              ijmin=i;
                   3215:            }
                   3216:            sum=sum+j;
                   3217:            /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   3218:            /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   3219:          }
                   3220:        }
                   3221:        else{
                   3222:          j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
                   3223: /*       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]); */
                   3224: 
                   3225:          k=k+1;
                   3226:          if (j >= jmax) {
                   3227:            jmax=j;
                   3228:            ijmax=i;
                   3229:          }
                   3230:          else if (j <= jmin){
                   3231:            jmin=j;
                   3232:            ijmin=i;
                   3233:          }
                   3234:          /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   3235:          /*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]);*/
                   3236:          if(j<0){
                   3237:            nberr++;
                   3238:            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]);
                   3239:            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]);
                   3240:          }
                   3241:          sum=sum+j;
                   3242:        }
                   3243:        jk= j/stepm;
                   3244:        jl= j -jk*stepm;
                   3245:        ju= j -(jk+1)*stepm;
                   3246:        if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   3247:          if(jl==0){
                   3248:            dh[mi][i]=jk;
                   3249:            bh[mi][i]=0;
                   3250:          }else{ /* We want a negative bias in order to only have interpolation ie
1.136     brouard  3251:                  * to avoid the price of an extra matrix product in likelihood */
1.126     brouard  3252:            dh[mi][i]=jk+1;
                   3253:            bh[mi][i]=ju;
                   3254:          }
                   3255:        }else{
                   3256:          if(jl <= -ju){
                   3257:            dh[mi][i]=jk;
                   3258:            bh[mi][i]=jl;       /* bias is positive if real duration
                   3259:                                 * is higher than the multiple of stepm and negative otherwise.
                   3260:                                 */
                   3261:          }
                   3262:          else{
                   3263:            dh[mi][i]=jk+1;
                   3264:            bh[mi][i]=ju;
                   3265:          }
                   3266:          if(dh[mi][i]==0){
                   3267:            dh[mi][i]=1; /* At least one step */
                   3268:            bh[mi][i]=ju; /* At least one step */
                   3269:            /*  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);*/
                   3270:          }
                   3271:        } /* end if mle */
                   3272:       }
                   3273:     } /* end wave */
                   3274:   }
                   3275:   jmean=sum/k;
                   3276:   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  3277:   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  3278:  }
                   3279: 
                   3280: /*********** Tricode ****************************/
1.145     brouard  3281: void tricode(int *Tvar, int **nbcode, int imx, int *Ndum)
1.126     brouard  3282: {
1.144     brouard  3283:   /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   3284:   /*     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  3285:    * Boring subroutine which should only output nbcode[Tvar[j]][k]
1.145     brouard  3286:    * Tvar[5] in V2+V1+V3*age+V2*V4 is 2 (V2)
1.169     brouard  3287:    * nbcode[Tvar[j]][1]= 
1.144     brouard  3288:   */
1.130     brouard  3289: 
1.145     brouard  3290:   int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
1.136     brouard  3291:   int modmaxcovj=0; /* Modality max of covariates j */
1.145     brouard  3292:   int cptcode=0; /* Modality max of covariates j */
                   3293:   int modmincovj=0; /* Modality min of covariates j */
                   3294: 
                   3295: 
1.126     brouard  3296:   cptcoveff=0; 
                   3297:  
1.145     brouard  3298:   for (k=-1; k < maxncov; k++) Ndum[k]=0;
1.144     brouard  3299:   for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.126     brouard  3300: 
1.145     brouard  3301:   /* Loop on covariates without age and products */
1.186     brouard  3302:   for (j=1; j<=(cptcovs); j++) { /* From model V1 + V2*age+ V3 + V3*V4 keeps V1 + V3 = 2 only */
                   3303:     for (i=1; i<=imx; i++) { /* Loop on individuals: reads the data file to get the maximum value of the 
1.136     brouard  3304:                               modality of this covariate Vj*/ 
1.145     brouard  3305:       ij=(int)(covar[Tvar[j]][i]); /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                   3306:                                    * If product of Vn*Vm, still boolean *:
                   3307:                                    * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                   3308:                                    * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
                   3309:       /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
1.136     brouard  3310:                                      modality of the nth covariate of individual i. */
1.145     brouard  3311:       if (ij > modmaxcovj)
                   3312:         modmaxcovj=ij; 
                   3313:       else if (ij < modmincovj) 
                   3314:        modmincovj=ij; 
                   3315:       if ((ij < -1) && (ij > NCOVMAX)){
                   3316:        printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
                   3317:        exit(1);
                   3318:       }else
1.136     brouard  3319:       Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
1.145     brouard  3320:       /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
1.126     brouard  3321:       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
1.136     brouard  3322:       /* getting the maximum value of the modality of the covariate
                   3323:         (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
                   3324:         female is 1, then modmaxcovj=1.*/
1.187     brouard  3325:     } /* end for loop on individuals */
1.145     brouard  3326:     printf(" Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
                   3327:     cptcode=modmaxcovj;
1.137     brouard  3328:     /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
1.145     brouard  3329:    /*for (i=0; i<=cptcode; i++) {*/
                   3330:     for (i=modmincovj;  i<=modmaxcovj; i++) { /* i=-1 ? 0 and 1*//* For each value of the modality of model-cov j */
1.187     brouard  3331:       printf("Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], i, Ndum[i]);
1.145     brouard  3332:       if( Ndum[i] != 0 ){ /* Counts if nobody answered, empty modality */
                   3333:        ncodemax[j]++;  /* ncodemax[j]= Number of non-null modalities of the j th covariate. */
                   3334:       }
                   3335:       /* In fact  ncodemax[j]=2 (dichotom. variables only) but it could be more for
                   3336:         historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
1.131     brouard  3337:     } /* Ndum[-1] number of undefined modalities */
1.126     brouard  3338: 
1.136     brouard  3339:     /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
1.186     brouard  3340:     /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. 
                   3341:        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  3342:        modmincovj=3; modmaxcovj = 7;
1.186     brouard  3343:        There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3;
                   3344:        which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10;
                   3345:        defining two dummy variables: variables V1_1 and V1_2.
1.145     brouard  3346:        nbcode[Tvar[j]][ij]=k;
                   3347:        nbcode[Tvar[j]][1]=0;
                   3348:        nbcode[Tvar[j]][2]=1;
                   3349:        nbcode[Tvar[j]][3]=2;
                   3350:     */
                   3351:     ij=1; /* ij is similar to i but can jumps over null modalities */
                   3352:     for (i=modmincovj; i<=modmaxcovj; i++) { /* i= 1 to 2 for dichotomous, or from 1 to 3 */
                   3353:       for (k=0; k<= cptcode; k++) { /* k=-1 ? k=0 to 1 *//* Could be 1 to 4 */
                   3354:        /*recode from 0 */
1.131     brouard  3355:        if (Ndum[k] != 0) { /* If at least one individual responded to this modality k */
1.186     brouard  3356:          nbcode[Tvar[j]][ij]=k;  /* stores the modality k in an array nbcode. 
1.131     brouard  3357:                                     k is a modality. If we have model=V1+V1*sex 
                   3358:                                     then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
1.126     brouard  3359:          ij++;
                   3360:        }
                   3361:        if (ij > ncodemax[j]) break; 
1.137     brouard  3362:       }  /* end of loop on */
                   3363:     } /* end of loop on modality */ 
                   3364:   } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/  
                   3365:   
1.145     brouard  3366:  for (k=-1; k< maxncov; k++) Ndum[k]=0; 
1.137     brouard  3367:   
1.187     brouard  3368:   for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
1.145     brouard  3369:    /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
                   3370:    ij=Tvar[i]; /* Tvar might be -1 if status was unknown */ 
1.187     brouard  3371:    Ndum[ij]++; /* Might be supersed V1 + V1*age */
1.145     brouard  3372:  } 
1.126     brouard  3373: 
                   3374:  ij=1;
1.145     brouard  3375:  for (i=0; i<=  maxncov-1; i++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
                   3376:    /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
1.126     brouard  3377:    if((Ndum[i]!=0) && (i<=ncovcol)){
1.145     brouard  3378:      /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
                   3379:      Tvaraff[ij]=i; /*For printing (unclear) */
1.126     brouard  3380:      ij++;
1.145     brouard  3381:    }else
                   3382:        Tvaraff[ij]=0;
1.126     brouard  3383:  }
1.131     brouard  3384:  ij--;
1.144     brouard  3385:  cptcoveff=ij; /*Number of total covariates*/
1.145     brouard  3386: 
1.126     brouard  3387: }
                   3388: 
1.145     brouard  3389: 
1.126     brouard  3390: /*********** Health Expectancies ****************/
                   3391: 
1.127     brouard  3392: 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  3393: 
                   3394: {
                   3395:   /* Health expectancies, no variances */
1.164     brouard  3396:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  3397:   int nhstepma, nstepma; /* Decreasing with age */
                   3398:   double age, agelim, hf;
                   3399:   double ***p3mat;
                   3400:   double eip;
                   3401: 
                   3402:   pstamp(ficreseij);
                   3403:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   3404:   fprintf(ficreseij,"# Age");
                   3405:   for(i=1; i<=nlstate;i++){
                   3406:     for(j=1; j<=nlstate;j++){
                   3407:       fprintf(ficreseij," e%1d%1d ",i,j);
                   3408:     }
                   3409:     fprintf(ficreseij," e%1d. ",i);
                   3410:   }
                   3411:   fprintf(ficreseij,"\n");
                   3412: 
                   3413:   
                   3414:   if(estepm < stepm){
                   3415:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   3416:   }
                   3417:   else  hstepm=estepm;   
                   3418:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   3419:    * This is mainly to measure the difference between two models: for example
                   3420:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   3421:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   3422:    * progression in between and thus overestimating or underestimating according
                   3423:    * to the curvature of the survival function. If, for the same date, we 
                   3424:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   3425:    * to compare the new estimate of Life expectancy with the same linear 
                   3426:    * hypothesis. A more precise result, taking into account a more precise
                   3427:    * curvature will be obtained if estepm is as small as stepm. */
                   3428: 
                   3429:   /* For example we decided to compute the life expectancy with the smallest unit */
                   3430:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   3431:      nhstepm is the number of hstepm from age to agelim 
                   3432:      nstepm is the number of stepm from age to agelin. 
                   3433:      Look at hpijx to understand the reason of that which relies in memory size
                   3434:      and note for a fixed period like estepm months */
                   3435:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   3436:      survival function given by stepm (the optimization length). Unfortunately it
                   3437:      means that if the survival funtion is printed only each two years of age and if
                   3438:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   3439:      results. So we changed our mind and took the option of the best precision.
                   3440:   */
                   3441:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   3442: 
                   3443:   agelim=AGESUP;
                   3444:   /* If stepm=6 months */
                   3445:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   3446:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   3447:     
                   3448: /* nhstepm age range expressed in number of stepm */
                   3449:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   3450:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3451:   /* if (stepm >= YEARM) hstepm=1;*/
                   3452:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   3453:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3454: 
                   3455:   for (age=bage; age<=fage; age ++){ 
                   3456:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   3457:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3458:     /* if (stepm >= YEARM) hstepm=1;*/
                   3459:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   3460: 
                   3461:     /* If stepm=6 months */
                   3462:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   3463:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   3464:     
                   3465:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   3466:     
                   3467:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   3468:     
                   3469:     printf("%d|",(int)age);fflush(stdout);
                   3470:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   3471:     
                   3472:     /* Computing expectancies */
                   3473:     for(i=1; i<=nlstate;i++)
                   3474:       for(j=1; j<=nlstate;j++)
                   3475:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   3476:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   3477:          
                   3478:          /* 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]);*/
                   3479: 
                   3480:        }
                   3481: 
                   3482:     fprintf(ficreseij,"%3.0f",age );
                   3483:     for(i=1; i<=nlstate;i++){
                   3484:       eip=0;
                   3485:       for(j=1; j<=nlstate;j++){
                   3486:        eip +=eij[i][j][(int)age];
                   3487:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   3488:       }
                   3489:       fprintf(ficreseij,"%9.4f", eip );
                   3490:     }
                   3491:     fprintf(ficreseij,"\n");
                   3492:     
                   3493:   }
                   3494:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3495:   printf("\n");
                   3496:   fprintf(ficlog,"\n");
                   3497:   
                   3498: }
                   3499: 
1.127     brouard  3500: 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  3501: 
                   3502: {
                   3503:   /* Covariances of health expectancies eij and of total life expectancies according
                   3504:    to initial status i, ei. .
                   3505:   */
                   3506:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   3507:   int nhstepma, nstepma; /* Decreasing with age */
                   3508:   double age, agelim, hf;
                   3509:   double ***p3matp, ***p3matm, ***varhe;
                   3510:   double **dnewm,**doldm;
                   3511:   double *xp, *xm;
                   3512:   double **gp, **gm;
                   3513:   double ***gradg, ***trgradg;
                   3514:   int theta;
                   3515: 
                   3516:   double eip, vip;
                   3517: 
                   3518:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   3519:   xp=vector(1,npar);
                   3520:   xm=vector(1,npar);
                   3521:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   3522:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   3523:   
                   3524:   pstamp(ficresstdeij);
                   3525:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   3526:   fprintf(ficresstdeij,"# Age");
                   3527:   for(i=1; i<=nlstate;i++){
                   3528:     for(j=1; j<=nlstate;j++)
                   3529:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   3530:     fprintf(ficresstdeij," e%1d. ",i);
                   3531:   }
                   3532:   fprintf(ficresstdeij,"\n");
                   3533: 
                   3534:   pstamp(ficrescveij);
                   3535:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   3536:   fprintf(ficrescveij,"# Age");
                   3537:   for(i=1; i<=nlstate;i++)
                   3538:     for(j=1; j<=nlstate;j++){
                   3539:       cptj= (j-1)*nlstate+i;
                   3540:       for(i2=1; i2<=nlstate;i2++)
                   3541:        for(j2=1; j2<=nlstate;j2++){
                   3542:          cptj2= (j2-1)*nlstate+i2;
                   3543:          if(cptj2 <= cptj)
                   3544:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   3545:        }
                   3546:     }
                   3547:   fprintf(ficrescveij,"\n");
                   3548:   
                   3549:   if(estepm < stepm){
                   3550:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   3551:   }
                   3552:   else  hstepm=estepm;   
                   3553:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   3554:    * This is mainly to measure the difference between two models: for example
                   3555:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   3556:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   3557:    * progression in between and thus overestimating or underestimating according
                   3558:    * to the curvature of the survival function. If, for the same date, we 
                   3559:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   3560:    * to compare the new estimate of Life expectancy with the same linear 
                   3561:    * hypothesis. A more precise result, taking into account a more precise
                   3562:    * curvature will be obtained if estepm is as small as stepm. */
                   3563: 
                   3564:   /* For example we decided to compute the life expectancy with the smallest unit */
                   3565:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   3566:      nhstepm is the number of hstepm from age to agelim 
                   3567:      nstepm is the number of stepm from age to agelin. 
                   3568:      Look at hpijx to understand the reason of that which relies in memory size
                   3569:      and note for a fixed period like estepm months */
                   3570:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   3571:      survival function given by stepm (the optimization length). Unfortunately it
                   3572:      means that if the survival funtion is printed only each two years of age and if
                   3573:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   3574:      results. So we changed our mind and took the option of the best precision.
                   3575:   */
                   3576:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   3577: 
                   3578:   /* If stepm=6 months */
                   3579:   /* nhstepm age range expressed in number of stepm */
                   3580:   agelim=AGESUP;
                   3581:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   3582:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3583:   /* if (stepm >= YEARM) hstepm=1;*/
                   3584:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   3585:   
                   3586:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3587:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3588:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   3589:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   3590:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   3591:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   3592: 
                   3593:   for (age=bage; age<=fage; age ++){ 
                   3594:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   3595:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3596:     /* if (stepm >= YEARM) hstepm=1;*/
                   3597:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   3598: 
                   3599:     /* If stepm=6 months */
                   3600:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   3601:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   3602:     
                   3603:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   3604: 
                   3605:     /* Computing  Variances of health expectancies */
                   3606:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   3607:        decrease memory allocation */
                   3608:     for(theta=1; theta <=npar; theta++){
                   3609:       for(i=1; i<=npar; i++){ 
                   3610:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   3611:        xm[i] = x[i] - (i==theta ?delti[theta]:0);
                   3612:       }
                   3613:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
                   3614:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
                   3615:   
                   3616:       for(j=1; j<= nlstate; j++){
                   3617:        for(i=1; i<=nlstate; i++){
                   3618:          for(h=0; h<=nhstepm-1; h++){
                   3619:            gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
                   3620:            gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
                   3621:          }
                   3622:        }
                   3623:       }
                   3624:      
                   3625:       for(ij=1; ij<= nlstate*nlstate; ij++)
                   3626:        for(h=0; h<=nhstepm-1; h++){
                   3627:          gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
                   3628:        }
                   3629:     }/* End theta */
                   3630:     
                   3631:     
                   3632:     for(h=0; h<=nhstepm-1; h++)
                   3633:       for(j=1; j<=nlstate*nlstate;j++)
                   3634:        for(theta=1; theta <=npar; theta++)
                   3635:          trgradg[h][j][theta]=gradg[h][theta][j];
                   3636:     
                   3637: 
                   3638:      for(ij=1;ij<=nlstate*nlstate;ij++)
                   3639:       for(ji=1;ji<=nlstate*nlstate;ji++)
                   3640:        varhe[ij][ji][(int)age] =0.;
                   3641: 
                   3642:      printf("%d|",(int)age);fflush(stdout);
                   3643:      fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   3644:      for(h=0;h<=nhstepm-1;h++){
                   3645:       for(k=0;k<=nhstepm-1;k++){
                   3646:        matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
                   3647:        matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
                   3648:        for(ij=1;ij<=nlstate*nlstate;ij++)
                   3649:          for(ji=1;ji<=nlstate*nlstate;ji++)
                   3650:            varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
                   3651:       }
                   3652:     }
                   3653: 
                   3654:     /* Computing expectancies */
                   3655:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   3656:     for(i=1; i<=nlstate;i++)
                   3657:       for(j=1; j<=nlstate;j++)
                   3658:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   3659:          eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
                   3660:          
                   3661:          /* 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]);*/
                   3662: 
                   3663:        }
                   3664: 
                   3665:     fprintf(ficresstdeij,"%3.0f",age );
                   3666:     for(i=1; i<=nlstate;i++){
                   3667:       eip=0.;
                   3668:       vip=0.;
                   3669:       for(j=1; j<=nlstate;j++){
                   3670:        eip += eij[i][j][(int)age];
                   3671:        for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
                   3672:          vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
                   3673:        fprintf(ficresstdeij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[(j-1)*nlstate+i][(j-1)*nlstate+i][(int)age]) );
                   3674:       }
                   3675:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   3676:     }
                   3677:     fprintf(ficresstdeij,"\n");
                   3678: 
                   3679:     fprintf(ficrescveij,"%3.0f",age );
                   3680:     for(i=1; i<=nlstate;i++)
                   3681:       for(j=1; j<=nlstate;j++){
                   3682:        cptj= (j-1)*nlstate+i;
                   3683:        for(i2=1; i2<=nlstate;i2++)
                   3684:          for(j2=1; j2<=nlstate;j2++){
                   3685:            cptj2= (j2-1)*nlstate+i2;
                   3686:            if(cptj2 <= cptj)
                   3687:              fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
                   3688:          }
                   3689:       }
                   3690:     fprintf(ficrescveij,"\n");
                   3691:    
                   3692:   }
                   3693:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   3694:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   3695:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   3696:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   3697:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3698:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3699:   printf("\n");
                   3700:   fprintf(ficlog,"\n");
                   3701: 
                   3702:   free_vector(xm,1,npar);
                   3703:   free_vector(xp,1,npar);
                   3704:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   3705:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   3706:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   3707: }
                   3708: 
                   3709: /************ Variance ******************/
                   3710: 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[])
                   3711: {
                   3712:   /* Variance of health expectancies */
                   3713:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
                   3714:   /* double **newm;*/
1.169     brouard  3715:   /* int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)*/
                   3716:   
                   3717:   int movingaverage();
1.126     brouard  3718:   double **dnewm,**doldm;
                   3719:   double **dnewmp,**doldmp;
                   3720:   int i, j, nhstepm, hstepm, h, nstepm ;
1.164     brouard  3721:   int k;
1.126     brouard  3722:   double *xp;
                   3723:   double **gp, **gm;  /* for var eij */
                   3724:   double ***gradg, ***trgradg; /*for var eij */
                   3725:   double **gradgp, **trgradgp; /* for var p point j */
                   3726:   double *gpp, *gmp; /* for var p point j */
                   3727:   double **varppt; /* for var p point j nlstate to nlstate+ndeath */
                   3728:   double ***p3mat;
                   3729:   double age,agelim, hf;
                   3730:   double ***mobaverage;
                   3731:   int theta;
                   3732:   char digit[4];
                   3733:   char digitp[25];
                   3734: 
                   3735:   char fileresprobmorprev[FILENAMELENGTH];
                   3736: 
                   3737:   if(popbased==1){
                   3738:     if(mobilav!=0)
                   3739:       strcpy(digitp,"-populbased-mobilav-");
                   3740:     else strcpy(digitp,"-populbased-nomobil-");
                   3741:   }
                   3742:   else 
                   3743:     strcpy(digitp,"-stablbased-");
                   3744: 
                   3745:   if (mobilav!=0) {
                   3746:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   3747:     if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
                   3748:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   3749:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   3750:     }
                   3751:   }
                   3752: 
                   3753:   strcpy(fileresprobmorprev,"prmorprev"); 
                   3754:   sprintf(digit,"%-d",ij);
                   3755:   /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
                   3756:   strcat(fileresprobmorprev,digit); /* Tvar to be done */
                   3757:   strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
                   3758:   strcat(fileresprobmorprev,fileres);
                   3759:   if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
                   3760:     printf("Problem with resultfile: %s\n", fileresprobmorprev);
                   3761:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
                   3762:   }
                   3763:   printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   3764:  
                   3765:   fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   3766:   pstamp(ficresprobmorprev);
                   3767:   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);
                   3768:   fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
                   3769:   for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   3770:     fprintf(ficresprobmorprev," p.%-d SE",j);
                   3771:     for(i=1; i<=nlstate;i++)
                   3772:       fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
                   3773:   }  
                   3774:   fprintf(ficresprobmorprev,"\n");
                   3775:   fprintf(ficgp,"\n# Routine varevsij");
                   3776:   /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
                   3777:   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");
                   3778:   fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
                   3779: /*   } */
                   3780:   varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   3781:   pstamp(ficresvij);
                   3782:   fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
                   3783:   if(popbased==1)
1.128     brouard  3784:     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  3785:   else
                   3786:     fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
                   3787:   fprintf(ficresvij,"# Age");
                   3788:   for(i=1; i<=nlstate;i++)
                   3789:     for(j=1; j<=nlstate;j++)
                   3790:       fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
                   3791:   fprintf(ficresvij,"\n");
                   3792: 
                   3793:   xp=vector(1,npar);
                   3794:   dnewm=matrix(1,nlstate,1,npar);
                   3795:   doldm=matrix(1,nlstate,1,nlstate);
                   3796:   dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
                   3797:   doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   3798: 
                   3799:   gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
                   3800:   gpp=vector(nlstate+1,nlstate+ndeath);
                   3801:   gmp=vector(nlstate+1,nlstate+ndeath);
                   3802:   trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
                   3803:   
                   3804:   if(estepm < stepm){
                   3805:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   3806:   }
                   3807:   else  hstepm=estepm;   
                   3808:   /* For example we decided to compute the life expectancy with the smallest unit */
                   3809:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   3810:      nhstepm is the number of hstepm from age to agelim 
                   3811:      nstepm is the number of stepm from age to agelin. 
1.128     brouard  3812:      Look at function hpijx to understand why (it is linked to memory size questions) */
1.126     brouard  3813:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   3814:      survival function given by stepm (the optimization length). Unfortunately it
                   3815:      means that if the survival funtion is printed every two years of age and if
                   3816:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   3817:      results. So we changed our mind and took the option of the best precision.
                   3818:   */
                   3819:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   3820:   agelim = AGESUP;
                   3821:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   3822:     nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   3823:     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   3824:     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3825:     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
                   3826:     gp=matrix(0,nhstepm,1,nlstate);
                   3827:     gm=matrix(0,nhstepm,1,nlstate);
                   3828: 
                   3829: 
                   3830:     for(theta=1; theta <=npar; theta++){
                   3831:       for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
                   3832:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   3833:       }
                   3834:       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
                   3835:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
                   3836: 
                   3837:       if (popbased==1) {
                   3838:        if(mobilav ==0){
                   3839:          for(i=1; i<=nlstate;i++)
                   3840:            prlim[i][i]=probs[(int)age][i][ij];
                   3841:        }else{ /* mobilav */ 
                   3842:          for(i=1; i<=nlstate;i++)
                   3843:            prlim[i][i]=mobaverage[(int)age][i][ij];
                   3844:        }
                   3845:       }
                   3846:   
                   3847:       for(j=1; j<= nlstate; j++){
                   3848:        for(h=0; h<=nhstepm; h++){
                   3849:          for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                   3850:            gp[h][j] += prlim[i][i]*p3mat[i][j][h];
                   3851:        }
                   3852:       }
                   3853:       /* This for computing probability of death (h=1 means
                   3854:          computed over hstepm matrices product = hstepm*stepm months) 
                   3855:          as a weighted average of prlim.
                   3856:       */
                   3857:       for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   3858:        for(i=1,gpp[j]=0.; i<= nlstate; i++)
                   3859:          gpp[j] += prlim[i][i]*p3mat[i][j][1];
                   3860:       }    
                   3861:       /* end probability of death */
                   3862: 
                   3863:       for(i=1; i<=npar; i++) /* Computes gradient x - delta */
                   3864:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   3865:       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
                   3866:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
                   3867:  
                   3868:       if (popbased==1) {
                   3869:        if(mobilav ==0){
                   3870:          for(i=1; i<=nlstate;i++)
                   3871:            prlim[i][i]=probs[(int)age][i][ij];
                   3872:        }else{ /* mobilav */ 
                   3873:          for(i=1; i<=nlstate;i++)
                   3874:            prlim[i][i]=mobaverage[(int)age][i][ij];
                   3875:        }
                   3876:       }
                   3877: 
1.128     brouard  3878:       for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
1.126     brouard  3879:        for(h=0; h<=nhstepm; h++){
                   3880:          for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                   3881:            gm[h][j] += prlim[i][i]*p3mat[i][j][h];
                   3882:        }
                   3883:       }
                   3884:       /* This for computing probability of death (h=1 means
                   3885:          computed over hstepm matrices product = hstepm*stepm months) 
                   3886:          as a weighted average of prlim.
                   3887:       */
                   3888:       for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   3889:        for(i=1,gmp[j]=0.; i<= nlstate; i++)
                   3890:          gmp[j] += prlim[i][i]*p3mat[i][j][1];
                   3891:       }    
                   3892:       /* end probability of death */
                   3893: 
                   3894:       for(j=1; j<= nlstate; j++) /* vareij */
                   3895:        for(h=0; h<=nhstepm; h++){
                   3896:          gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
                   3897:        }
                   3898: 
                   3899:       for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
                   3900:        gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
                   3901:       }
                   3902: 
                   3903:     } /* End theta */
                   3904: 
                   3905:     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
                   3906: 
                   3907:     for(h=0; h<=nhstepm; h++) /* veij */
                   3908:       for(j=1; j<=nlstate;j++)
                   3909:        for(theta=1; theta <=npar; theta++)
                   3910:          trgradg[h][j][theta]=gradg[h][theta][j];
                   3911: 
                   3912:     for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                   3913:       for(theta=1; theta <=npar; theta++)
                   3914:        trgradgp[j][theta]=gradgp[theta][j];
                   3915:   
                   3916: 
                   3917:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   3918:     for(i=1;i<=nlstate;i++)
                   3919:       for(j=1;j<=nlstate;j++)
                   3920:        vareij[i][j][(int)age] =0.;
                   3921: 
                   3922:     for(h=0;h<=nhstepm;h++){
                   3923:       for(k=0;k<=nhstepm;k++){
                   3924:        matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
                   3925:        matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
                   3926:        for(i=1;i<=nlstate;i++)
                   3927:          for(j=1;j<=nlstate;j++)
                   3928:            vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
                   3929:       }
                   3930:     }
                   3931:   
                   3932:     /* pptj */
                   3933:     matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
                   3934:     matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
                   3935:     for(j=nlstate+1;j<=nlstate+ndeath;j++)
                   3936:       for(i=nlstate+1;i<=nlstate+ndeath;i++)
                   3937:        varppt[j][i]=doldmp[j][i];
                   3938:     /* end ppptj */
                   3939:     /*  x centered again */
                   3940:     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
                   3941:     prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);
                   3942:  
                   3943:     if (popbased==1) {
                   3944:       if(mobilav ==0){
                   3945:        for(i=1; i<=nlstate;i++)
                   3946:          prlim[i][i]=probs[(int)age][i][ij];
                   3947:       }else{ /* mobilav */ 
                   3948:        for(i=1; i<=nlstate;i++)
                   3949:          prlim[i][i]=mobaverage[(int)age][i][ij];
                   3950:       }
                   3951:     }
                   3952:              
                   3953:     /* This for computing probability of death (h=1 means
                   3954:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
                   3955:        as a weighted average of prlim.
                   3956:     */
                   3957:     for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   3958:       for(i=1,gmp[j]=0.;i<= nlstate; i++) 
                   3959:        gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
                   3960:     }    
                   3961:     /* end probability of death */
                   3962: 
                   3963:     fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
                   3964:     for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   3965:       fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
                   3966:       for(i=1; i<=nlstate;i++){
                   3967:        fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
                   3968:       }
                   3969:     } 
                   3970:     fprintf(ficresprobmorprev,"\n");
                   3971: 
                   3972:     fprintf(ficresvij,"%.0f ",age );
                   3973:     for(i=1; i<=nlstate;i++)
                   3974:       for(j=1; j<=nlstate;j++){
                   3975:        fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
                   3976:       }
                   3977:     fprintf(ficresvij,"\n");
                   3978:     free_matrix(gp,0,nhstepm,1,nlstate);
                   3979:     free_matrix(gm,0,nhstepm,1,nlstate);
                   3980:     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
                   3981:     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
                   3982:     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3983:   } /* End age */
                   3984:   free_vector(gpp,nlstate+1,nlstate+ndeath);
                   3985:   free_vector(gmp,nlstate+1,nlstate+ndeath);
                   3986:   free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
                   3987:   free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.145     brouard  3988:   fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240");
1.126     brouard  3989:   /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
1.131     brouard  3990:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
1.126     brouard  3991: /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
                   3992: /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   3993: /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
1.145     brouard  3994:   fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
1.170     brouard  3995:   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
1.145     brouard  3996:   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
1.126     brouard  3997:   fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
                   3998:   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);
                   3999:   /*  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);
                   4000: */
                   4001: /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.png\";replot;",digitp,optionfilefiname,digit); */
                   4002:   fprintf(ficgp,"\nset out \"%s%s.png\";replot;\n",subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
                   4003: 
                   4004:   free_vector(xp,1,npar);
                   4005:   free_matrix(doldm,1,nlstate,1,nlstate);
                   4006:   free_matrix(dnewm,1,nlstate,1,npar);
                   4007:   free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   4008:   free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
                   4009:   free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   4010:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   4011:   fclose(ficresprobmorprev);
                   4012:   fflush(ficgp);
                   4013:   fflush(fichtm); 
                   4014: }  /* end varevsij */
                   4015: 
                   4016: /************ Variance of prevlim ******************/
                   4017: 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[])
                   4018: {
                   4019:   /* Variance of prevalence limit */
                   4020:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  4021: 
1.126     brouard  4022:   double **dnewm,**doldm;
                   4023:   int i, j, nhstepm, hstepm;
                   4024:   double *xp;
                   4025:   double *gp, *gm;
                   4026:   double **gradg, **trgradg;
                   4027:   double age,agelim;
                   4028:   int theta;
                   4029:   
                   4030:   pstamp(ficresvpl);
                   4031:   fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
                   4032:   fprintf(ficresvpl,"# Age");
                   4033:   for(i=1; i<=nlstate;i++)
                   4034:       fprintf(ficresvpl," %1d-%1d",i,i);
                   4035:   fprintf(ficresvpl,"\n");
                   4036: 
                   4037:   xp=vector(1,npar);
                   4038:   dnewm=matrix(1,nlstate,1,npar);
                   4039:   doldm=matrix(1,nlstate,1,nlstate);
                   4040:   
                   4041:   hstepm=1*YEARM; /* Every year of age */
                   4042:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   4043:   agelim = AGESUP;
                   4044:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   4045:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   4046:     if (stepm >= YEARM) hstepm=1;
                   4047:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   4048:     gradg=matrix(1,npar,1,nlstate);
                   4049:     gp=vector(1,nlstate);
                   4050:     gm=vector(1,nlstate);
                   4051: 
                   4052:     for(theta=1; theta <=npar; theta++){
                   4053:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   4054:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   4055:       }
                   4056:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
                   4057:       for(i=1;i<=nlstate;i++)
                   4058:        gp[i] = prlim[i][i];
                   4059:     
                   4060:       for(i=1; i<=npar; i++) /* Computes gradient */
                   4061:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   4062:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
                   4063:       for(i=1;i<=nlstate;i++)
                   4064:        gm[i] = prlim[i][i];
                   4065: 
                   4066:       for(i=1;i<=nlstate;i++)
                   4067:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
                   4068:     } /* End theta */
                   4069: 
                   4070:     trgradg =matrix(1,nlstate,1,npar);
                   4071: 
                   4072:     for(j=1; j<=nlstate;j++)
                   4073:       for(theta=1; theta <=npar; theta++)
                   4074:        trgradg[j][theta]=gradg[theta][j];
                   4075: 
                   4076:     for(i=1;i<=nlstate;i++)
                   4077:       varpl[i][(int)age] =0.;
                   4078:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   4079:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
                   4080:     for(i=1;i<=nlstate;i++)
                   4081:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   4082: 
                   4083:     fprintf(ficresvpl,"%.0f ",age );
                   4084:     for(i=1; i<=nlstate;i++)
                   4085:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
                   4086:     fprintf(ficresvpl,"\n");
                   4087:     free_vector(gp,1,nlstate);
                   4088:     free_vector(gm,1,nlstate);
                   4089:     free_matrix(gradg,1,npar,1,nlstate);
                   4090:     free_matrix(trgradg,1,nlstate,1,npar);
                   4091:   } /* End age */
                   4092: 
                   4093:   free_vector(xp,1,npar);
                   4094:   free_matrix(doldm,1,nlstate,1,npar);
                   4095:   free_matrix(dnewm,1,nlstate,1,nlstate);
                   4096: 
                   4097: }
                   4098: 
                   4099: /************ Variance of one-step probabilities  ******************/
                   4100: 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[])
                   4101: {
1.164     brouard  4102:   int i, j=0,  k1, l1, tj;
1.126     brouard  4103:   int k2, l2, j1,  z1;
1.164     brouard  4104:   int k=0, l;
1.145     brouard  4105:   int first=1, first1, first2;
1.126     brouard  4106:   double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   4107:   double **dnewm,**doldm;
                   4108:   double *xp;
                   4109:   double *gp, *gm;
                   4110:   double **gradg, **trgradg;
                   4111:   double **mu;
1.164     brouard  4112:   double age, cov[NCOVMAX+1];
1.126     brouard  4113:   double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   4114:   int theta;
                   4115:   char fileresprob[FILENAMELENGTH];
                   4116:   char fileresprobcov[FILENAMELENGTH];
                   4117:   char fileresprobcor[FILENAMELENGTH];
                   4118:   double ***varpij;
                   4119: 
                   4120:   strcpy(fileresprob,"prob"); 
                   4121:   strcat(fileresprob,fileres);
                   4122:   if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   4123:     printf("Problem with resultfile: %s\n", fileresprob);
                   4124:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   4125:   }
                   4126:   strcpy(fileresprobcov,"probcov"); 
                   4127:   strcat(fileresprobcov,fileres);
                   4128:   if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   4129:     printf("Problem with resultfile: %s\n", fileresprobcov);
                   4130:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   4131:   }
                   4132:   strcpy(fileresprobcor,"probcor"); 
                   4133:   strcat(fileresprobcor,fileres);
                   4134:   if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   4135:     printf("Problem with resultfile: %s\n", fileresprobcor);
                   4136:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   4137:   }
                   4138:   printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   4139:   fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   4140:   printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   4141:   fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   4142:   printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   4143:   fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   4144:   pstamp(ficresprob);
                   4145:   fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   4146:   fprintf(ficresprob,"# Age");
                   4147:   pstamp(ficresprobcov);
                   4148:   fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   4149:   fprintf(ficresprobcov,"# Age");
                   4150:   pstamp(ficresprobcor);
                   4151:   fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   4152:   fprintf(ficresprobcor,"# Age");
                   4153: 
                   4154: 
                   4155:   for(i=1; i<=nlstate;i++)
                   4156:     for(j=1; j<=(nlstate+ndeath);j++){
                   4157:       fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   4158:       fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   4159:       fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   4160:     }  
                   4161:  /* fprintf(ficresprob,"\n");
                   4162:   fprintf(ficresprobcov,"\n");
                   4163:   fprintf(ficresprobcor,"\n");
                   4164:  */
1.131     brouard  4165:   xp=vector(1,npar);
1.126     brouard  4166:   dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   4167:   doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   4168:   mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   4169:   varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   4170:   first=1;
                   4171:   fprintf(ficgp,"\n# Routine varprob");
                   4172:   fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   4173:   fprintf(fichtm,"\n");
                   4174: 
                   4175:   fprintf(fichtm,"\n<li><h4> <a href=\"%s\">Matrix of variance-covariance of pairs of step probabilities (drawings)</a></h4></li>\n",optionfilehtmcov);
                   4176:   fprintf(fichtmcov,"\n<h4>Matrix of variance-covariance of pairs of step probabilities</h4>\n\
                   4177:   file %s<br>\n",optionfilehtmcov);
                   4178:   fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated\
                   4179: and drawn. It helps understanding how is the covariance between two incidences.\
                   4180:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
                   4181:   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. \
                   4182: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   4183: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   4184: standard deviations wide on each axis. <br>\
                   4185:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   4186:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   4187: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   4188: 
                   4189:   cov[1]=1;
1.145     brouard  4190:   /* tj=cptcoveff; */
                   4191:   tj = (int) pow(2,cptcoveff);
1.126     brouard  4192:   if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   4193:   j1=0;
1.145     brouard  4194:   for(j1=1; j1<=tj;j1++){
                   4195:     /*for(i1=1; i1<=ncodemax[t];i1++){ */
                   4196:     /*j1++;*/
1.126     brouard  4197:       if  (cptcovn>0) {
                   4198:        fprintf(ficresprob, "\n#********** Variable "); 
                   4199:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
                   4200:        fprintf(ficresprob, "**********\n#\n");
                   4201:        fprintf(ficresprobcov, "\n#********** Variable "); 
                   4202:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
                   4203:        fprintf(ficresprobcov, "**********\n#\n");
                   4204:        
                   4205:        fprintf(ficgp, "\n#********** Variable "); 
                   4206:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
                   4207:        fprintf(ficgp, "**********\n#\n");
                   4208:        
                   4209:        
                   4210:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
                   4211:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
                   4212:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
                   4213:        
                   4214:        fprintf(ficresprobcor, "\n#********** Variable ");    
                   4215:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
                   4216:        fprintf(ficresprobcor, "**********\n#");    
                   4217:       }
                   4218:       
1.145     brouard  4219:       gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   4220:       trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   4221:       gp=vector(1,(nlstate)*(nlstate+ndeath));
                   4222:       gm=vector(1,(nlstate)*(nlstate+ndeath));
1.126     brouard  4223:       for (age=bage; age<=fage; age ++){ 
                   4224:        cov[2]=age;
1.187     brouard  4225:        if(nagesqr==1)
                   4226:          cov[3]= age*age;
1.126     brouard  4227:        for (k=1; k<=cptcovn;k++) {
1.187     brouard  4228:          cov[2+nagesqr+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];/* j1 1 2 3 4
1.145     brouard  4229:                                                         * 1  1 1 1 1
                   4230:                                                         * 2  2 1 1 1
                   4231:                                                         * 3  1 2 1 1
                   4232:                                                         */
                   4233:          /* nbcode[1][1]=0 nbcode[1][2]=1;*/
1.126     brouard  4234:        }
1.186     brouard  4235:        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   4236:        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtab[ij][Tvar[Tage[k]]]]*cov[2];
1.126     brouard  4237:        for (k=1; k<=cptcovprod;k++)
1.187     brouard  4238:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
1.126     brouard  4239:        
                   4240:     
                   4241:        for(theta=1; theta <=npar; theta++){
                   4242:          for(i=1; i<=npar; i++)
                   4243:            xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
                   4244:          
                   4245:          pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   4246:          
                   4247:          k=0;
                   4248:          for(i=1; i<= (nlstate); i++){
                   4249:            for(j=1; j<=(nlstate+ndeath);j++){
                   4250:              k=k+1;
                   4251:              gp[k]=pmmij[i][j];
                   4252:            }
                   4253:          }
                   4254:          
                   4255:          for(i=1; i<=npar; i++)
                   4256:            xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
                   4257:     
                   4258:          pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   4259:          k=0;
                   4260:          for(i=1; i<=(nlstate); i++){
                   4261:            for(j=1; j<=(nlstate+ndeath);j++){
                   4262:              k=k+1;
                   4263:              gm[k]=pmmij[i][j];
                   4264:            }
                   4265:          }
                   4266:      
                   4267:          for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   4268:            gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   4269:        }
                   4270: 
                   4271:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   4272:          for(theta=1; theta <=npar; theta++)
                   4273:            trgradg[j][theta]=gradg[theta][j];
                   4274:        
                   4275:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   4276:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
                   4277: 
                   4278:        pmij(pmmij,cov,ncovmodel,x,nlstate);
                   4279:        
                   4280:        k=0;
                   4281:        for(i=1; i<=(nlstate); i++){
                   4282:          for(j=1; j<=(nlstate+ndeath);j++){
                   4283:            k=k+1;
                   4284:            mu[k][(int) age]=pmmij[i][j];
                   4285:          }
                   4286:        }
                   4287:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   4288:          for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   4289:            varpij[i][j][(int)age] = doldm[i][j];
                   4290: 
                   4291:        /*printf("\n%d ",(int)age);
                   4292:          for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   4293:          printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   4294:          fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   4295:          }*/
                   4296: 
                   4297:        fprintf(ficresprob,"\n%d ",(int)age);
                   4298:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   4299:        fprintf(ficresprobcor,"\n%d ",(int)age);
                   4300: 
                   4301:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   4302:          fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   4303:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   4304:          fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   4305:          fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   4306:        }
                   4307:        i=0;
                   4308:        for (k=1; k<=(nlstate);k++){
                   4309:          for (l=1; l<=(nlstate+ndeath);l++){ 
1.145     brouard  4310:            i++;
1.126     brouard  4311:            fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   4312:            fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   4313:            for (j=1; j<=i;j++){
1.145     brouard  4314:              /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
1.126     brouard  4315:              fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   4316:              fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   4317:            }
                   4318:          }
                   4319:        }/* end of loop for state */
                   4320:       } /* end of loop for age */
1.145     brouard  4321:       free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   4322:       free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   4323:       free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   4324:       free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   4325:       
1.126     brouard  4326:       /* Confidence intervalle of pij  */
                   4327:       /*
1.131     brouard  4328:        fprintf(ficgp,"\nunset parametric;unset label");
1.126     brouard  4329:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   4330:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   4331:        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);
                   4332:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   4333:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   4334:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   4335:       */
                   4336: 
                   4337:       /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
1.145     brouard  4338:       first1=1;first2=2;
1.126     brouard  4339:       for (k2=1; k2<=(nlstate);k2++){
                   4340:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   4341:          if(l2==k2) continue;
                   4342:          j=(k2-1)*(nlstate+ndeath)+l2;
                   4343:          for (k1=1; k1<=(nlstate);k1++){
                   4344:            for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   4345:              if(l1==k1) continue;
                   4346:              i=(k1-1)*(nlstate+ndeath)+l1;
                   4347:              if(i<=j) continue;
                   4348:              for (age=bage; age<=fage; age ++){ 
                   4349:                if ((int)age %5==0){
                   4350:                  v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   4351:                  v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   4352:                  cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   4353:                  mu1=mu[i][(int) age]/stepm*YEARM ;
                   4354:                  mu2=mu[j][(int) age]/stepm*YEARM;
                   4355:                  c12=cv12/sqrt(v1*v2);
                   4356:                  /* Computing eigen value of matrix of covariance */
                   4357:                  lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4358:                  lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
1.135     brouard  4359:                  if ((lc2 <0) || (lc1 <0) ){
1.145     brouard  4360:                    if(first2==1){
                   4361:                      first1=0;
                   4362:                    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);
                   4363:                    }
                   4364:                    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);
                   4365:                    /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   4366:                    /* lc2=fabs(lc2); */
1.135     brouard  4367:                  }
                   4368: 
1.126     brouard  4369:                  /* Eigen vectors */
                   4370:                  v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                   4371:                  /*v21=sqrt(1.-v11*v11); *//* error */
                   4372:                  v21=(lc1-v1)/cv12*v11;
                   4373:                  v12=-v21;
                   4374:                  v22=v11;
                   4375:                  tnalp=v21/v11;
                   4376:                  if(first1==1){
                   4377:                    first1=0;
                   4378:                    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);
                   4379:                  }
                   4380:                  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);
                   4381:                  /*printf(fignu*/
                   4382:                  /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   4383:                  /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   4384:                  if(first==1){
                   4385:                    first=0;
                   4386:                    fprintf(ficgp,"\nset parametric;unset label");
                   4387:                    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  4388:                    fprintf(ficgp,"\nset ter png small size 320, 240");
1.126     brouard  4389:                    fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
                   4390:  :<a href=\"%s%d%1d%1d-%1d%1d.png\">\
                   4391: %s%d%1d%1d-%1d%1d.png</A>, ",k1,l1,k2,l2,\
                   4392:                            subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2,\
                   4393:                            subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                   4394:                    fprintf(fichtmcov,"\n<br><img src=\"%s%d%1d%1d-%1d%1d.png\"> ",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                   4395:                    fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                   4396:                    fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\"",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                   4397:                    fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   4398:                    fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   4399:                    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",\
                   4400:                            mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                   4401:                            mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   4402:                  }else{
                   4403:                    first=0;
                   4404:                    fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   4405:                    fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   4406:                    fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   4407:                    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",\
                   4408:                            mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                   4409:                            mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   4410:                  }/* if first */
                   4411:                } /* age mod 5 */
                   4412:              } /* end loop age */
                   4413:              fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\";replot;",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                   4414:              first=1;
                   4415:            } /*l12 */
                   4416:          } /* k12 */
                   4417:        } /*l1 */
                   4418:       }/* k1 */
1.169     brouard  4419:       /* } */ /* loop covariates */
1.126     brouard  4420:   }
                   4421:   free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   4422:   free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   4423:   free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   4424:   free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   4425:   free_vector(xp,1,npar);
                   4426:   fclose(ficresprob);
                   4427:   fclose(ficresprobcov);
                   4428:   fclose(ficresprobcor);
                   4429:   fflush(ficgp);
                   4430:   fflush(fichtmcov);
                   4431: }
                   4432: 
                   4433: 
                   4434: /******************* Printing html file ***********/
                   4435: void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \
                   4436:                  int lastpass, int stepm, int weightopt, char model[],\
                   4437:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
                   4438:                  int popforecast, int estepm ,\
                   4439:                  double jprev1, double mprev1,double anprev1, \
                   4440:                  double jprev2, double mprev2,double anprev2){
                   4441:   int jj1, k1, i1, cpt;
                   4442: 
                   4443:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   4444:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   4445: </ul>");
                   4446:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n \
                   4447:  - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> <br>\n ",
                   4448:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirf2(fileres,"p"),subdirf2(fileres,"p"));
                   4449:    fprintf(fichtm,"\
                   4450:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
                   4451:           stepm,subdirf2(fileres,"pij"),subdirf2(fileres,"pij"));
                   4452:    fprintf(fichtm,"\
                   4453:  - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
                   4454:           subdirf2(fileres,"pl"),subdirf2(fileres,"pl"));
                   4455:    fprintf(fichtm,"\
1.128     brouard  4456:  - (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  4457:    <a href=\"%s\">%s</a> <br>\n",
                   4458:           estepm,subdirf2(fileres,"e"),subdirf2(fileres,"e"));
                   4459:    fprintf(fichtm,"\
                   4460:  - Population projections by age and states: \
                   4461:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileres,"f"),subdirf2(fileres,"f"));
                   4462: 
                   4463: fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
                   4464: 
1.145     brouard  4465:  m=pow(2,cptcoveff);
1.126     brouard  4466:  if (cptcovn < 1) {m=1;ncodemax[1]=1;}
                   4467: 
                   4468:  jj1=0;
                   4469:  for(k1=1; k1<=m;k1++){
                   4470:    for(i1=1; i1<=ncodemax[k1];i1++){
                   4471:      jj1++;
                   4472:      if (cptcovn > 0) {
                   4473:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
                   4474:        for (cpt=1; cpt<=cptcoveff;cpt++) 
                   4475:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
                   4476:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   4477:      }
                   4478:      /* Pij */
1.145     brouard  4479:      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> \
                   4480: <img src=\"%s%d_1.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);     
1.126     brouard  4481:      /* Quasi-incidences */
                   4482:      fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
1.145     brouard  4483:  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> \
                   4484: <img src=\"%s%d_2.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1); 
1.126     brouard  4485:        /* Period (stable) prevalence in each health state */
1.154     brouard  4486:        for(cpt=1; cpt<=nlstate;cpt++){
1.166     brouard  4487:         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> \
                   4488: <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  4489:        }
                   4490:      for(cpt=1; cpt<=nlstate;cpt++) {
1.154     brouard  4491:         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> \
                   4492: <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  4493:      }
                   4494:    } /* end i1 */
                   4495:  }/* End k1 */
                   4496:  fprintf(fichtm,"</ul>");
                   4497: 
                   4498: 
                   4499:  fprintf(fichtm,"\
                   4500: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
                   4501:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br>\n", rfileres,rfileres);
                   4502: 
                   4503:  fprintf(fichtm," - Variance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   4504:         subdirf2(fileres,"prob"),subdirf2(fileres,"prob"));
                   4505:  fprintf(fichtm,"\
                   4506:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   4507:         subdirf2(fileres,"probcov"),subdirf2(fileres,"probcov"));
                   4508: 
                   4509:  fprintf(fichtm,"\
                   4510:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   4511:         subdirf2(fileres,"probcor"),subdirf2(fileres,"probcor"));
                   4512:  fprintf(fichtm,"\
                   4513:  - 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): \
                   4514:    <a href=\"%s\">%s</a> <br>\n</li>",
                   4515:           estepm,subdirf2(fileres,"cve"),subdirf2(fileres,"cve"));
                   4516:  fprintf(fichtm,"\
                   4517:  - (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): \
                   4518:    <a href=\"%s\">%s</a> <br>\n</li>",
                   4519:           estepm,subdirf2(fileres,"stde"),subdirf2(fileres,"stde"));
                   4520:  fprintf(fichtm,"\
1.128     brouard  4521:  - 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  4522:         estepm, subdirf2(fileres,"v"),subdirf2(fileres,"v"));
                   4523:  fprintf(fichtm,"\
1.128     brouard  4524:  - 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",
                   4525:         estepm, subdirf2(fileres,"t"),subdirf2(fileres,"t"));
1.126     brouard  4526:  fprintf(fichtm,"\
                   4527:  - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\
                   4528:         subdirf2(fileres,"vpl"),subdirf2(fileres,"vpl"));
                   4529: 
                   4530: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   4531: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   4532: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   4533: /*     <br>",fileres,fileres,fileres,fileres); */
                   4534: /*  else  */
                   4535: /*    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); */
                   4536:  fflush(fichtm);
                   4537:  fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
                   4538: 
1.145     brouard  4539:  m=pow(2,cptcoveff);
1.126     brouard  4540:  if (cptcovn < 1) {m=1;ncodemax[1]=1;}
                   4541: 
                   4542:  jj1=0;
                   4543:  for(k1=1; k1<=m;k1++){
                   4544:    for(i1=1; i1<=ncodemax[k1];i1++){
                   4545:      jj1++;
                   4546:      if (cptcovn > 0) {
                   4547:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
                   4548:        for (cpt=1; cpt<=cptcoveff;cpt++) 
                   4549:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
                   4550:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   4551:      }
                   4552:      for(cpt=1; cpt<=nlstate;cpt++) {
                   4553:        fprintf(fichtm,"<br>- Observed (cross-sectional) and period (incidence based) \
1.145     brouard  4554: prevalence (with 95%% confidence interval) in state (%d): %s%d_%d.png <br>\
                   4555: <img src=\"%s%d_%d.png\">",cpt,subdirf2(optionfilefiname,"v"),cpt,jj1,subdirf2(optionfilefiname,"v"),cpt,jj1);  
1.126     brouard  4556:      }
                   4557:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.128     brouard  4558: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
                   4559: true period expectancies (those weighted with period prevalences are also\
                   4560:  drawn in addition to the population based expectancies computed using\
                   4561:  observed and cahotic prevalences: %s%d.png<br>\
1.126     brouard  4562: <img src=\"%s%d.png\">",subdirf2(optionfilefiname,"e"),jj1,subdirf2(optionfilefiname,"e"),jj1);
                   4563:    } /* end i1 */
                   4564:  }/* End k1 */
                   4565:  fprintf(fichtm,"</ul>");
                   4566:  fflush(fichtm);
                   4567: }
                   4568: 
                   4569: /******************* Gnuplot file **************/
                   4570: void printinggnuplot(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
                   4571: 
                   4572:   char dirfileres[132],optfileres[132];
1.164     brouard  4573:   int cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
1.130     brouard  4574:   int ng=0;
1.126     brouard  4575: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   4576: /*     printf("Problem with file %s",optionfilegnuplot); */
                   4577: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   4578: /*   } */
                   4579: 
                   4580:   /*#ifdef windows */
                   4581:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   4582:     /*#endif */
                   4583:   m=pow(2,cptcoveff);
                   4584: 
                   4585:   strcpy(dirfileres,optionfilefiname);
                   4586:   strcpy(optfileres,"vpl");
                   4587:  /* 1eme*/
1.153     brouard  4588:   fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'vpl' files\n");
1.126     brouard  4589:   for (cpt=1; cpt<= nlstate ; cpt ++) {
1.145     brouard  4590:     for (k1=1; k1<= m ; k1 ++) { /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
                   4591:      fprintf(ficgp,"\nset out \"%s%d_%d.png\" \n",subdirf2(optionfilefiname,"v"),cpt,k1);
                   4592:      fprintf(ficgp,"\n#set out \"v%s%d_%d.png\" \n",optionfilefiname,cpt,k1);
1.126     brouard  4593:      fprintf(ficgp,"set xlabel \"Age\" \n\
                   4594: set ylabel \"Probability\" \n\
1.145     brouard  4595: set ter png small size 320, 240\n\
1.170     brouard  4596: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"%%lf",ageminpar,fage,subdirf2(fileres,"vpl"),k1-1,k1-1);
1.126     brouard  4597: 
                   4598:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  4599:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   4600:        else        fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4601:      }
1.170     brouard  4602:      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  4603:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  4604:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   4605:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4606:      } 
1.170     brouard  4607:      fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1); 
1.126     brouard  4608:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  4609:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   4610:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4611:      }  
1.145     brouard  4612:      fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l lt 2",subdirf2(fileres,"p"),k1-1,k1-1,2+4*(cpt-1));
1.126     brouard  4613:    }
                   4614:   }
                   4615:   /*2 eme*/
1.153     brouard  4616:   fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files\n");
1.126     brouard  4617:   for (k1=1; k1<= m ; k1 ++) { 
                   4618:     fprintf(ficgp,"\nset out \"%s%d.png\" \n",subdirf2(optionfilefiname,"e"),k1);
1.145     brouard  4619:     fprintf(ficgp,"set ylabel \"Years\" \nset ter png small size 320, 240\nplot [%.f:%.f] ",ageminpar,fage);
1.126     brouard  4620:     
                   4621:     for (i=1; i<= nlstate+1 ; i ++) {
                   4622:       k=2*i;
1.170     brouard  4623:       fprintf(ficgp,"\"%s\" every :::%d::%d u 1:2 \"%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
1.126     brouard  4624:       for (j=1; j<= nlstate+1 ; j ++) {
1.170     brouard  4625:        if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   4626:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4627:       }   
                   4628:       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");
                   4629:       else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);
1.170     brouard  4630:       fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2-$3*2) \"%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
1.126     brouard  4631:       for (j=1; j<= nlstate+1 ; j ++) {
1.170     brouard  4632:        if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   4633:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4634:       }   
1.145     brouard  4635:       fprintf(ficgp,"\" t\"\" w l lt 0,");
1.170     brouard  4636:       fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2+$3*2) \"%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
1.126     brouard  4637:       for (j=1; j<= nlstate+1 ; j ++) {
1.170     brouard  4638:        if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   4639:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4640:       }   
1.145     brouard  4641:       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   4642:       else fprintf(ficgp,"\" t\"\" w l lt 0,");
1.126     brouard  4643:     }
                   4644:   }
                   4645:   
                   4646:   /*3eme*/
                   4647:   
                   4648:   for (k1=1; k1<= m ; k1 ++) { 
                   4649:     for (cpt=1; cpt<= nlstate ; cpt ++) {
                   4650:       /*       k=2+nlstate*(2*cpt-2); */
                   4651:       k=2+(nlstate+1)*(cpt-1);
                   4652:       fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"exp"),cpt,k1);
1.145     brouard  4653:       fprintf(ficgp,"set ter png small size 320, 240\n\
1.126     brouard  4654: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileres,"e"),k1-1,k1-1,k,cpt);
                   4655:       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   4656:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   4657:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   4658:        fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   4659:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   4660:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   4661:        
                   4662:       */
                   4663:       for (i=1; i< nlstate ; i ++) {
                   4664:        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);
                   4665:        /*      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);*/
                   4666:        
                   4667:       } 
                   4668:       fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d.\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+nlstate,cpt);
                   4669:     }
                   4670:   }
                   4671:   
                   4672:   /* CV preval stable (period) */
1.153     brouard  4673:   for (k1=1; k1<= m ; k1 ++) { /* For each multivariate if any */
                   4674:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.126     brouard  4675:       k=3;
1.153     brouard  4676:       fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, cov=%d state=%d",k1, cpt);
1.145     brouard  4677:       fprintf(ficgp,"\nset out \"%s%d_%d.png\" \n",subdirf2(optionfilefiname,"p"),cpt,k1);
1.126     brouard  4678:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.145     brouard  4679: set ter png small size 320, 240\n\
1.126     brouard  4680: unset log y\n\
1.153     brouard  4681: plot [%.f:%.f]  ", ageminpar, agemaxpar);
                   4682:       for (i=1; i<= nlstate ; i ++){
                   4683:        if(i==1)
                   4684:          fprintf(ficgp,"\"%s\"",subdirf2(fileres,"pij"));
                   4685:        else
                   4686:          fprintf(ficgp,", '' ");
1.154     brouard  4687:        l=(nlstate+ndeath)*(i-1)+1;
                   4688:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
1.153     brouard  4689:        for (j=1; j<= (nlstate-1) ; j ++)
                   4690:          fprintf(ficgp,"+$%d",k+l+j);
                   4691:        fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
                   4692:       } /* nlstate */
                   4693:       fprintf(ficgp,"\n");
                   4694:     } /* end cpt state*/ 
                   4695:   } /* end covariate */  
1.126     brouard  4696:   
                   4697:   /* proba elementaires */
1.187     brouard  4698:   fprintf(ficgp,"\n##############\n#MLE estimated parameters\n#############\n");
1.126     brouard  4699:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  4700:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  4701:     for(k=1; k <=(nlstate+ndeath); k++){
                   4702:       if (k != i) {
1.187     brouard  4703:        fprintf(ficgp,"#   current state %d\n",k);
1.126     brouard  4704:        for(j=1; j <=ncovmodel; j++){
1.187     brouard  4705:          fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
1.126     brouard  4706:          jk++; 
                   4707:        }
1.187     brouard  4708:        fprintf(ficgp,"\n");
1.126     brouard  4709:       }
                   4710:     }
                   4711:    }
1.187     brouard  4712:   fprintf(ficgp,"##############\n#\n");
                   4713: 
1.145     brouard  4714:   /*goto avoid;*/
1.187     brouard  4715:   fprintf(ficgp,"\n##############\n#Graphics of of probabilities or incidences\n#############\n");
                   4716:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   4717:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   4718:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   4719:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   4720:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   4721:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   4722:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   4723:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   4724:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   4725:   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   4726:   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
                   4727:   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   4728:   fprintf(ficgp,"#\n");
1.126     brouard  4729:    for(ng=1; ng<=2;ng++){ /* Number of graphics: first is probabilities second is incidence per year*/
1.187     brouard  4730:      fprintf(ficgp,"# ng=%d\n",ng);
                   4731:      fprintf(ficgp,"#   jk=1 to 2^%d=%d\n",cptcoveff,m);
1.126     brouard  4732:      for(jk=1; jk <=m; jk++) {
1.187     brouard  4733:        fprintf(ficgp,"#    jk=%d\n",jk);
1.145     brouard  4734:        fprintf(ficgp,"\nset out \"%s%d_%d.png\" \n",subdirf2(optionfilefiname,"pe"),jk,ng); 
1.126     brouard  4735:        if (ng==2)
                   4736:         fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
                   4737:        else
                   4738:         fprintf(ficgp,"\nset title \"Probability\"\n");
1.145     brouard  4739:        fprintf(ficgp,"\nset ter png small size 320, 240\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
1.126     brouard  4740:        i=1;
                   4741:        for(k2=1; k2<=nlstate; k2++) {
                   4742:         k3=i;
                   4743:         for(k=1; k<=(nlstate+ndeath); k++) {
                   4744:           if (k != k2){
                   4745:             if(ng==2)
1.187     brouard  4746:               if(nagesqr==0)
                   4747:                 fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   4748:               else /* nagesqr =1 */
                   4749:                 fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
1.126     brouard  4750:             else
1.187     brouard  4751:               if(nagesqr==0)
                   4752:                 fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   4753:               else /* nagesqr =1 */
                   4754:                 fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
1.141     brouard  4755:             ij=1;/* To be checked else nbcode[0][0] wrong */
1.187     brouard  4756:             for(j=3; j <=ncovmodel-nagesqr; j++) {
1.186     brouard  4757:               if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) { /* Bug valgrind */
1.187     brouard  4758:                 fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);
1.186     brouard  4759:                 ij++;
                   4760:               }
                   4761:               else
1.187     brouard  4762:                 fprintf(ficgp,"+p%d*%d",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
1.126     brouard  4763:             }
                   4764:             fprintf(ficgp,")/(1");
                   4765:             
1.187     brouard  4766:             for(k1=1; k1 <=nlstate; k1++){ 
                   4767:               if(nagesqr==0)
                   4768:                 fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
                   4769:               else /* nagesqr =1 */
                   4770:                 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);
                   4771:   
1.126     brouard  4772:               ij=1;
1.187     brouard  4773:               for(j=3; j <=ncovmodel-nagesqr; j++){
1.186     brouard  4774:                 if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {
1.187     brouard  4775:                   fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);
1.186     brouard  4776:                   ij++;
                   4777:                 }
                   4778:                 else
1.187     brouard  4779:                   fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
1.126     brouard  4780:               }
                   4781:               fprintf(ficgp,")");
                   4782:             }
                   4783:             fprintf(ficgp,") t \"p%d%d\" ", k2,k);
                   4784:             if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");
                   4785:             i=i+ncovmodel;
                   4786:           }
                   4787:         } /* end k */
                   4788:        } /* end k2 */
                   4789:      } /* end jk */
                   4790:    } /* end ng */
1.164     brouard  4791:  /* avoid: */
1.126     brouard  4792:    fflush(ficgp); 
                   4793: }  /* end gnuplot */
                   4794: 
                   4795: 
                   4796: /*************** Moving average **************/
                   4797: int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav){
                   4798: 
                   4799:   int i, cpt, cptcod;
                   4800:   int modcovmax =1;
                   4801:   int mobilavrange, mob;
                   4802:   double age;
                   4803: 
                   4804:   modcovmax=2*cptcoveff;/* Max number of modalities. We suppose 
                   4805:                           a covariate has 2 modalities */
                   4806:   if (cptcovn<1) modcovmax=1; /* At least 1 pass */
                   4807: 
                   4808:   if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   4809:     if(mobilav==1) mobilavrange=5; /* default */
                   4810:     else mobilavrange=mobilav;
                   4811:     for (age=bage; age<=fage; age++)
                   4812:       for (i=1; i<=nlstate;i++)
                   4813:        for (cptcod=1;cptcod<=modcovmax;cptcod++)
                   4814:          mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   4815:     /* We keep the original values on the extreme ages bage, fage and for 
                   4816:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   4817:        we use a 5 terms etc. until the borders are no more concerned. 
                   4818:     */ 
                   4819:     for (mob=3;mob <=mobilavrange;mob=mob+2){
                   4820:       for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
                   4821:        for (i=1; i<=nlstate;i++){
                   4822:          for (cptcod=1;cptcod<=modcovmax;cptcod++){
                   4823:            mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                   4824:              for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   4825:                mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   4826:                mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                   4827:              }
                   4828:            mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
                   4829:          }
                   4830:        }
                   4831:       }/* end age */
                   4832:     }/* end mob */
                   4833:   }else return -1;
                   4834:   return 0;
                   4835: }/* End movingaverage */
                   4836: 
                   4837: 
                   4838: /************** Forecasting ******************/
1.169     brouard  4839: 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  4840:   /* proj1, year, month, day of starting projection 
                   4841:      agemin, agemax range of age
                   4842:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   4843:      anproj2 year of en of projection (same day and month as proj1).
                   4844:   */
1.164     brouard  4845:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1;
1.126     brouard  4846:   double agec; /* generic age */
                   4847:   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
                   4848:   double *popeffectif,*popcount;
                   4849:   double ***p3mat;
                   4850:   double ***mobaverage;
                   4851:   char fileresf[FILENAMELENGTH];
                   4852: 
                   4853:   agelim=AGESUP;
                   4854:   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   4855:  
                   4856:   strcpy(fileresf,"f"); 
                   4857:   strcat(fileresf,fileres);
                   4858:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   4859:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   4860:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   4861:   }
                   4862:   printf("Computing forecasting: result on file '%s' \n", fileresf);
                   4863:   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", fileresf);
                   4864: 
                   4865:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   4866: 
                   4867:   if (mobilav!=0) {
                   4868:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   4869:     if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
                   4870:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   4871:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   4872:     }
                   4873:   }
                   4874: 
                   4875:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   4876:   if (stepm<=12) stepsize=1;
                   4877:   if(estepm < stepm){
                   4878:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   4879:   }
                   4880:   else  hstepm=estepm;   
                   4881: 
                   4882:   hstepm=hstepm/stepm; 
                   4883:   yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                   4884:                                fractional in yp1 */
                   4885:   anprojmean=yp;
                   4886:   yp2=modf((yp1*12),&yp);
                   4887:   mprojmean=yp;
                   4888:   yp1=modf((yp2*30.5),&yp);
                   4889:   jprojmean=yp;
                   4890:   if(jprojmean==0) jprojmean=1;
                   4891:   if(mprojmean==0) jprojmean=1;
                   4892: 
                   4893:   i1=cptcoveff;
                   4894:   if (cptcovn < 1){i1=1;}
                   4895:   
                   4896:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
                   4897:   
                   4898:   fprintf(ficresf,"#****** Routine prevforecast **\n");
                   4899: 
                   4900: /*           if (h==(int)(YEARM*yearp)){ */
                   4901:   for(cptcov=1, k=0;cptcov<=i1;cptcov++){
                   4902:     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
                   4903:       k=k+1;
                   4904:       fprintf(ficresf,"\n#******");
                   4905:       for(j=1;j<=cptcoveff;j++) {
                   4906:        fprintf(ficresf," V%d=%d, hpijx=probability over h years, hp.jx is weighted by observed prev ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   4907:       }
                   4908:       fprintf(ficresf,"******\n");
                   4909:       fprintf(ficresf,"# Covariate valuofcovar yearproj age");
                   4910:       for(j=1; j<=nlstate+ndeath;j++){ 
                   4911:        for(i=1; i<=nlstate;i++)              
                   4912:           fprintf(ficresf," p%d%d",i,j);
                   4913:        fprintf(ficresf," p.%d",j);
                   4914:       }
                   4915:       for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) { 
                   4916:        fprintf(ficresf,"\n");
                   4917:        fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
                   4918: 
                   4919:        for (agec=fage; agec>=(ageminpar-1); agec--){ 
                   4920:          nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   4921:          nhstepm = nhstepm/hstepm; 
                   4922:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4923:          oldm=oldms;savm=savms;
                   4924:          hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   4925:        
                   4926:          for (h=0; h<=nhstepm; h++){
                   4927:            if (h*hstepm/YEARM*stepm ==yearp) {
                   4928:               fprintf(ficresf,"\n");
                   4929:               for(j=1;j<=cptcoveff;j++) 
                   4930:                 fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   4931:              fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
                   4932:            } 
                   4933:            for(j=1; j<=nlstate+ndeath;j++) {
                   4934:              ppij=0.;
                   4935:              for(i=1; i<=nlstate;i++) {
                   4936:                if (mobilav==1) 
                   4937:                  ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod];
                   4938:                else {
                   4939:                  ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod];
                   4940:                }
                   4941:                if (h*hstepm/YEARM*stepm== yearp) {
                   4942:                  fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   4943:                }
                   4944:              } /* end i */
                   4945:              if (h*hstepm/YEARM*stepm==yearp) {
                   4946:                fprintf(ficresf," %.3f", ppij);
                   4947:              }
                   4948:            }/* end j */
                   4949:          } /* end h */
                   4950:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4951:        } /* end agec */
                   4952:       } /* end yearp */
                   4953:     } /* end cptcod */
                   4954:   } /* end  cptcov */
                   4955:        
                   4956:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   4957: 
                   4958:   fclose(ficresf);
                   4959: }
                   4960: 
                   4961: /************** Forecasting *****not tested NB*************/
1.169     brouard  4962: 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  4963:   
                   4964:   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
                   4965:   int *popage;
                   4966:   double calagedatem, agelim, kk1, kk2;
                   4967:   double *popeffectif,*popcount;
                   4968:   double ***p3mat,***tabpop,***tabpopprev;
                   4969:   double ***mobaverage;
                   4970:   char filerespop[FILENAMELENGTH];
                   4971: 
                   4972:   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   4973:   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   4974:   agelim=AGESUP;
                   4975:   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;
                   4976:   
                   4977:   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   4978:   
                   4979:   
                   4980:   strcpy(filerespop,"pop"); 
                   4981:   strcat(filerespop,fileres);
                   4982:   if((ficrespop=fopen(filerespop,"w"))==NULL) {
                   4983:     printf("Problem with forecast resultfile: %s\n", filerespop);
                   4984:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);
                   4985:   }
                   4986:   printf("Computing forecasting: result on file '%s' \n", filerespop);
                   4987:   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);
                   4988: 
                   4989:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   4990: 
                   4991:   if (mobilav!=0) {
                   4992:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   4993:     if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
                   4994:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   4995:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   4996:     }
                   4997:   }
                   4998: 
                   4999:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   5000:   if (stepm<=12) stepsize=1;
                   5001:   
                   5002:   agelim=AGESUP;
                   5003:   
                   5004:   hstepm=1;
                   5005:   hstepm=hstepm/stepm; 
                   5006:   
                   5007:   if (popforecast==1) {
                   5008:     if((ficpop=fopen(popfile,"r"))==NULL) {
                   5009:       printf("Problem with population file : %s\n",popfile);exit(0);
                   5010:       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);
                   5011:     } 
                   5012:     popage=ivector(0,AGESUP);
                   5013:     popeffectif=vector(0,AGESUP);
                   5014:     popcount=vector(0,AGESUP);
                   5015:     
                   5016:     i=1;   
                   5017:     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;
                   5018:    
                   5019:     imx=i;
                   5020:     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];
                   5021:   }
                   5022: 
                   5023:   for(cptcov=1,k=0;cptcov<=i2;cptcov++){
                   5024:    for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
                   5025:       k=k+1;
                   5026:       fprintf(ficrespop,"\n#******");
                   5027:       for(j=1;j<=cptcoveff;j++) {
                   5028:        fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   5029:       }
                   5030:       fprintf(ficrespop,"******\n");
                   5031:       fprintf(ficrespop,"# Age");
                   5032:       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);
                   5033:       if (popforecast==1)  fprintf(ficrespop," [Population]");
                   5034:       
                   5035:       for (cpt=0; cpt<=0;cpt++) { 
                   5036:        fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
                   5037:        
                   5038:        for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
                   5039:          nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
                   5040:          nhstepm = nhstepm/hstepm; 
                   5041:          
                   5042:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5043:          oldm=oldms;savm=savms;
                   5044:          hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   5045:        
                   5046:          for (h=0; h<=nhstepm; h++){
                   5047:            if (h==(int) (calagedatem+YEARM*cpt)) {
                   5048:              fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                   5049:            } 
                   5050:            for(j=1; j<=nlstate+ndeath;j++) {
                   5051:              kk1=0.;kk2=0;
                   5052:              for(i=1; i<=nlstate;i++) {              
                   5053:                if (mobilav==1) 
                   5054:                  kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];
                   5055:                else {
                   5056:                  kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];
                   5057:                }
                   5058:              }
                   5059:              if (h==(int)(calagedatem+12*cpt)){
                   5060:                tabpop[(int)(agedeb)][j][cptcod]=kk1;
                   5061:                  /*fprintf(ficrespop," %.3f", kk1);
                   5062:                    if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/
                   5063:              }
                   5064:            }
                   5065:            for(i=1; i<=nlstate;i++){
                   5066:              kk1=0.;
                   5067:                for(j=1; j<=nlstate;j++){
                   5068:                  kk1= kk1+tabpop[(int)(agedeb)][j][cptcod]; 
                   5069:                }
                   5070:                  tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)];
                   5071:            }
                   5072: 
                   5073:            if (h==(int)(calagedatem+12*cpt)) for(j=1; j<=nlstate;j++) 
                   5074:              fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);
                   5075:          }
                   5076:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5077:        }
                   5078:       }
                   5079:  
                   5080:   /******/
                   5081: 
                   5082:       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) { 
                   5083:        fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
                   5084:        for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
                   5085:          nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
                   5086:          nhstepm = nhstepm/hstepm; 
                   5087:          
                   5088:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5089:          oldm=oldms;savm=savms;
                   5090:          hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   5091:          for (h=0; h<=nhstepm; h++){
                   5092:            if (h==(int) (calagedatem+YEARM*cpt)) {
                   5093:              fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                   5094:            } 
                   5095:            for(j=1; j<=nlstate+ndeath;j++) {
                   5096:              kk1=0.;kk2=0;
                   5097:              for(i=1; i<=nlstate;i++) {              
                   5098:                kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];    
                   5099:              }
                   5100:              if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);        
                   5101:            }
                   5102:          }
                   5103:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5104:        }
                   5105:       }
                   5106:    } 
                   5107:   }
                   5108:  
                   5109:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5110: 
                   5111:   if (popforecast==1) {
                   5112:     free_ivector(popage,0,AGESUP);
                   5113:     free_vector(popeffectif,0,AGESUP);
                   5114:     free_vector(popcount,0,AGESUP);
                   5115:   }
                   5116:   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5117:   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5118:   fclose(ficrespop);
                   5119: } /* End of popforecast */
                   5120: 
                   5121: int fileappend(FILE *fichier, char *optionfich)
                   5122: {
                   5123:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   5124:     printf("Problem with file: %s\n", optionfich);
                   5125:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   5126:     return (0);
                   5127:   }
                   5128:   fflush(fichier);
                   5129:   return (1);
                   5130: }
                   5131: 
                   5132: 
                   5133: /**************** function prwizard **********************/
                   5134: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   5135: {
                   5136: 
                   5137:   /* Wizard to print covariance matrix template */
                   5138: 
1.164     brouard  5139:   char ca[32], cb[32];
                   5140:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  5141:   int numlinepar;
                   5142: 
                   5143:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   5144:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   5145:   for(i=1; i <=nlstate; i++){
                   5146:     jj=0;
                   5147:     for(j=1; j <=nlstate+ndeath; j++){
                   5148:       if(j==i) continue;
                   5149:       jj++;
                   5150:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   5151:       printf("%1d%1d",i,j);
                   5152:       fprintf(ficparo,"%1d%1d",i,j);
                   5153:       for(k=1; k<=ncovmodel;k++){
                   5154:        /*        printf(" %lf",param[i][j][k]); */
                   5155:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   5156:        printf(" 0.");
                   5157:        fprintf(ficparo," 0.");
                   5158:       }
                   5159:       printf("\n");
                   5160:       fprintf(ficparo,"\n");
                   5161:     }
                   5162:   }
                   5163:   printf("# Scales (for hessian or gradient estimation)\n");
                   5164:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   5165:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   5166:   for(i=1; i <=nlstate; i++){
                   5167:     jj=0;
                   5168:     for(j=1; j <=nlstate+ndeath; j++){
                   5169:       if(j==i) continue;
                   5170:       jj++;
                   5171:       fprintf(ficparo,"%1d%1d",i,j);
                   5172:       printf("%1d%1d",i,j);
                   5173:       fflush(stdout);
                   5174:       for(k=1; k<=ncovmodel;k++){
                   5175:        /*      printf(" %le",delti3[i][j][k]); */
                   5176:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   5177:        printf(" 0.");
                   5178:        fprintf(ficparo," 0.");
                   5179:       }
                   5180:       numlinepar++;
                   5181:       printf("\n");
                   5182:       fprintf(ficparo,"\n");
                   5183:     }
                   5184:   }
                   5185:   printf("# Covariance matrix\n");
                   5186: /* # 121 Var(a12)\n\ */
                   5187: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   5188: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   5189: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   5190: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   5191: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   5192: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   5193: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   5194:   fflush(stdout);
                   5195:   fprintf(ficparo,"# Covariance matrix\n");
                   5196:   /* # 121 Var(a12)\n\ */
                   5197:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   5198:   /* #   ...\n\ */
                   5199:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   5200:   
                   5201:   for(itimes=1;itimes<=2;itimes++){
                   5202:     jj=0;
                   5203:     for(i=1; i <=nlstate; i++){
                   5204:       for(j=1; j <=nlstate+ndeath; j++){
                   5205:        if(j==i) continue;
                   5206:        for(k=1; k<=ncovmodel;k++){
                   5207:          jj++;
                   5208:          ca[0]= k+'a'-1;ca[1]='\0';
                   5209:          if(itimes==1){
                   5210:            printf("#%1d%1d%d",i,j,k);
                   5211:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   5212:          }else{
                   5213:            printf("%1d%1d%d",i,j,k);
                   5214:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   5215:            /*  printf(" %.5le",matcov[i][j]); */
                   5216:          }
                   5217:          ll=0;
                   5218:          for(li=1;li <=nlstate; li++){
                   5219:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   5220:              if(lj==li) continue;
                   5221:              for(lk=1;lk<=ncovmodel;lk++){
                   5222:                ll++;
                   5223:                if(ll<=jj){
                   5224:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   5225:                  if(ll<jj){
                   5226:                    if(itimes==1){
                   5227:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   5228:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   5229:                    }else{
                   5230:                      printf(" 0.");
                   5231:                      fprintf(ficparo," 0.");
                   5232:                    }
                   5233:                  }else{
                   5234:                    if(itimes==1){
                   5235:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   5236:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   5237:                    }else{
                   5238:                      printf(" 0.");
                   5239:                      fprintf(ficparo," 0.");
                   5240:                    }
                   5241:                  }
                   5242:                }
                   5243:              } /* end lk */
                   5244:            } /* end lj */
                   5245:          } /* end li */
                   5246:          printf("\n");
                   5247:          fprintf(ficparo,"\n");
                   5248:          numlinepar++;
                   5249:        } /* end k*/
                   5250:       } /*end j */
                   5251:     } /* end i */
                   5252:   } /* end itimes */
                   5253: 
                   5254: } /* end of prwizard */
                   5255: /******************* Gompertz Likelihood ******************************/
                   5256: double gompertz(double x[])
                   5257: { 
                   5258:   double A,B,L=0.0,sump=0.,num=0.;
                   5259:   int i,n=0; /* n is the size of the sample */
                   5260: 
                   5261:   for (i=0;i<=imx-1 ; i++) {
                   5262:     sump=sump+weight[i];
                   5263:     /*    sump=sump+1;*/
                   5264:     num=num+1;
                   5265:   }
                   5266:  
                   5267:  
                   5268:   /* for (i=0; i<=imx; i++) 
                   5269:      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]);*/
                   5270: 
                   5271:   for (i=1;i<=imx ; i++)
                   5272:     {
                   5273:       if (cens[i] == 1 && wav[i]>1)
                   5274:        A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   5275:       
                   5276:       if (cens[i] == 0 && wav[i]>1)
                   5277:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                   5278:             +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
                   5279:       
                   5280:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   5281:       if (wav[i] > 1 ) { /* ??? */
                   5282:        L=L+A*weight[i];
                   5283:        /*      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]);*/
                   5284:       }
                   5285:     }
                   5286: 
                   5287:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   5288:  
                   5289:   return -2*L*num/sump;
                   5290: }
                   5291: 
1.136     brouard  5292: #ifdef GSL
                   5293: /******************* Gompertz_f Likelihood ******************************/
                   5294: double gompertz_f(const gsl_vector *v, void *params)
                   5295: { 
                   5296:   double A,B,LL=0.0,sump=0.,num=0.;
                   5297:   double *x= (double *) v->data;
                   5298:   int i,n=0; /* n is the size of the sample */
                   5299: 
                   5300:   for (i=0;i<=imx-1 ; i++) {
                   5301:     sump=sump+weight[i];
                   5302:     /*    sump=sump+1;*/
                   5303:     num=num+1;
                   5304:   }
                   5305:  
                   5306:  
                   5307:   /* for (i=0; i<=imx; i++) 
                   5308:      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]);*/
                   5309:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   5310:   for (i=1;i<=imx ; i++)
                   5311:     {
                   5312:       if (cens[i] == 1 && wav[i]>1)
                   5313:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   5314:       
                   5315:       if (cens[i] == 0 && wav[i]>1)
                   5316:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   5317:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   5318:       
                   5319:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   5320:       if (wav[i] > 1 ) { /* ??? */
                   5321:        LL=LL+A*weight[i];
                   5322:        /*      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]);*/
                   5323:       }
                   5324:     }
                   5325: 
                   5326:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   5327:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   5328:  
                   5329:   return -2*LL*num/sump;
                   5330: }
                   5331: #endif
                   5332: 
1.126     brouard  5333: /******************* Printing html file ***********/
                   5334: void printinghtmlmort(char fileres[], char title[], char datafile[], int firstpass, \
                   5335:                  int lastpass, int stepm, int weightopt, char model[],\
                   5336:                  int imx,  double p[],double **matcov,double agemortsup){
                   5337:   int i,k;
                   5338: 
                   5339:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   5340:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   5341:   for (i=1;i<=2;i++) 
                   5342:     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]));
                   5343:   fprintf(fichtm,"<br><br><img src=\"graphmort.png\">");
                   5344:   fprintf(fichtm,"</ul>");
                   5345: 
                   5346: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   5347: 
                   5348:  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>");
                   5349: 
                   5350:  for (k=agegomp;k<(agemortsup-2);k++) 
                   5351:    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]);
                   5352: 
                   5353:  
                   5354:   fflush(fichtm);
                   5355: }
                   5356: 
                   5357: /******************* Gnuplot file **************/
                   5358: void printinggnuplotmort(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
                   5359: 
                   5360:   char dirfileres[132],optfileres[132];
1.164     brouard  5361: 
1.126     brouard  5362:   int ng;
                   5363: 
                   5364: 
                   5365:   /*#ifdef windows */
                   5366:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   5367:     /*#endif */
                   5368: 
                   5369: 
                   5370:   strcpy(dirfileres,optionfilefiname);
                   5371:   strcpy(optfileres,"vpl");
                   5372:   fprintf(ficgp,"set out \"graphmort.png\"\n "); 
                   5373:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.145     brouard  5374:   fprintf(ficgp, "set ter png small size 320, 240\n set log y\n"); 
                   5375:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  5376:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   5377: 
                   5378: } 
                   5379: 
1.136     brouard  5380: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   5381: {
1.126     brouard  5382: 
1.136     brouard  5383:   /*-------- data file ----------*/
                   5384:   FILE *fic;
                   5385:   char dummy[]="                         ";
1.164     brouard  5386:   int i=0, j=0, n=0;
1.136     brouard  5387:   int linei, month, year,iout;
                   5388:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  5389:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  5390:   char *stratrunc;
                   5391:   int lstra;
1.126     brouard  5392: 
                   5393: 
1.136     brouard  5394:   if((fic=fopen(datafile,"r"))==NULL)    {
                   5395:     printf("Problem while opening datafile: %s\n", datafile);return 1;
                   5396:     fprintf(ficlog,"Problem while opening datafile: %s\n", datafile);return 1;
                   5397:   }
1.126     brouard  5398: 
1.136     brouard  5399:   i=1;
                   5400:   linei=0;
                   5401:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   5402:     linei=linei+1;
                   5403:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   5404:       if(line[j] == '\t')
                   5405:        line[j] = ' ';
                   5406:     }
                   5407:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   5408:       ;
                   5409:     };
                   5410:     line[j+1]=0;  /* Trims blanks at end of line */
                   5411:     if(line[0]=='#'){
                   5412:       fprintf(ficlog,"Comment line\n%s\n",line);
                   5413:       printf("Comment line\n%s\n",line);
                   5414:       continue;
                   5415:     }
                   5416:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  5417:     strcpy(line, linetmp);
1.136     brouard  5418:   
1.126     brouard  5419: 
1.136     brouard  5420:     for (j=maxwav;j>=1;j--){
1.137     brouard  5421:       cutv(stra, strb, line, ' '); 
1.136     brouard  5422:       if(strb[0]=='.') { /* Missing status */
                   5423:        lval=-1;
                   5424:       }else{
                   5425:        errno=0;
                   5426:        lval=strtol(strb,&endptr,10); 
                   5427:       /*       if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   5428:        if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  5429:          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);
                   5430:          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  5431:          return 1;
                   5432:        }
                   5433:       }
                   5434:       s[j][i]=lval;
                   5435:       
                   5436:       strcpy(line,stra);
                   5437:       cutv(stra, strb,line,' ');
1.169     brouard  5438:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  5439:       }
1.169     brouard  5440:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  5441:        month=99;
                   5442:        year=9999;
                   5443:       }else{
1.141     brouard  5444:        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);
                   5445:        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  5446:        return 1;
                   5447:       }
                   5448:       anint[j][i]= (double) year; 
                   5449:       mint[j][i]= (double)month; 
                   5450:       strcpy(line,stra);
                   5451:     } /* ENd Waves */
                   5452:     
                   5453:     cutv(stra, strb,line,' '); 
1.169     brouard  5454:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  5455:     }
1.169     brouard  5456:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  5457:       month=99;
                   5458:       year=9999;
                   5459:     }else{
1.141     brouard  5460:       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);
                   5461:        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  5462:        return 1;
                   5463:     }
                   5464:     andc[i]=(double) year; 
                   5465:     moisdc[i]=(double) month; 
                   5466:     strcpy(line,stra);
                   5467:     
                   5468:     cutv(stra, strb,line,' '); 
1.169     brouard  5469:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  5470:     }
1.169     brouard  5471:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  5472:       month=99;
                   5473:       year=9999;
                   5474:     }else{
1.141     brouard  5475:       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);
                   5476:       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  5477:        return 1;
                   5478:     }
                   5479:     if (year==9999) {
1.141     brouard  5480:       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);
                   5481:       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  5482:        return 1;
1.126     brouard  5483: 
1.136     brouard  5484:     }
                   5485:     annais[i]=(double)(year);
                   5486:     moisnais[i]=(double)(month); 
                   5487:     strcpy(line,stra);
                   5488:     
                   5489:     cutv(stra, strb,line,' '); 
                   5490:     errno=0;
                   5491:     dval=strtod(strb,&endptr); 
                   5492:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  5493:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   5494:       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  5495:       fflush(ficlog);
                   5496:       return 1;
                   5497:     }
                   5498:     weight[i]=dval; 
                   5499:     strcpy(line,stra);
                   5500:     
                   5501:     for (j=ncovcol;j>=1;j--){
                   5502:       cutv(stra, strb,line,' '); 
                   5503:       if(strb[0]=='.') { /* Missing status */
                   5504:        lval=-1;
                   5505:       }else{
                   5506:        errno=0;
                   5507:        lval=strtol(strb,&endptr,10); 
                   5508:        if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  5509:          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);
                   5510:          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  5511:          return 1;
                   5512:        }
                   5513:       }
                   5514:       if(lval <-1 || lval >1){
1.141     brouard  5515:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  5516:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   5517:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
                   5518:  For example, for multinomial values like 1, 2 and 3,\n \
                   5519:  build V1=0 V2=0 for the reference value (1),\n \
                   5520:         V1=1 V2=0 for (2) \n \
                   5521:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
                   5522:  output of IMaCh is often meaningless.\n \
                   5523:  Exiting.\n",lval,linei, i,line,j);
1.141     brouard  5524:        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  5525:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   5526:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
                   5527:  For example, for multinomial values like 1, 2 and 3,\n \
                   5528:  build V1=0 V2=0 for the reference value (1),\n \
                   5529:         V1=1 V2=0 for (2) \n \
                   5530:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
                   5531:  output of IMaCh is often meaningless.\n \
                   5532:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
                   5533:        return 1;
                   5534:       }
                   5535:       covar[j][i]=(double)(lval);
                   5536:       strcpy(line,stra);
                   5537:     }  
                   5538:     lstra=strlen(stra);
                   5539:      
                   5540:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   5541:       stratrunc = &(stra[lstra-9]);
                   5542:       num[i]=atol(stratrunc);
                   5543:     }
                   5544:     else
                   5545:       num[i]=atol(stra);
                   5546:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   5547:       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;}*/
                   5548:     
                   5549:     i=i+1;
                   5550:   } /* End loop reading  data */
1.126     brouard  5551: 
1.136     brouard  5552:   *imax=i-1; /* Number of individuals */
                   5553:   fclose(fic);
                   5554:  
                   5555:   return (0);
1.164     brouard  5556:   /* endread: */
1.136     brouard  5557:     printf("Exiting readdata: ");
                   5558:     fclose(fic);
                   5559:     return (1);
1.126     brouard  5560: 
                   5561: 
                   5562: 
1.136     brouard  5563: }
1.145     brouard  5564: void removespace(char *str) {
                   5565:   char *p1 = str, *p2 = str;
                   5566:   do
                   5567:     while (*p2 == ' ')
                   5568:       p2++;
1.169     brouard  5569:   while (*p1++ == *p2++);
1.145     brouard  5570: }
                   5571: 
                   5572: int decodemodel ( char model[], int lastobs) /**< This routine decode the model and returns:
1.187     brouard  5573:    * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   5574:    * - nagesqr = 1 if age*age in the model, otherwise 0.
                   5575:    * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   5576:    * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
1.145     brouard  5577:    * - cptcovage number of covariates with age*products =2
                   5578:    * - cptcovs number of simple covariates
                   5579:    * - 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
                   5580:    *     which is a new column after the 9 (ncovcol) variables. 
                   5581:    * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
                   5582:    * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   5583:    *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   5584:    * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   5585:  */
1.136     brouard  5586: {
1.145     brouard  5587:   int i, j, k, ks;
1.164     brouard  5588:   int  j1, k1, k2;
1.136     brouard  5589:   char modelsav[80];
1.145     brouard  5590:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  5591:   char *strpt;
1.136     brouard  5592: 
1.145     brouard  5593:   /*removespace(model);*/
1.136     brouard  5594:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  5595:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  5596:     if (strstr(model,"AGE") !=0){
1.187     brouard  5597:       printf("Error. AGE must be in lower case 'age' model=1+age+%s ",model);
                   5598:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s ",model);fflush(ficlog);
1.136     brouard  5599:       return 1;
                   5600:     }
1.141     brouard  5601:     if (strstr(model,"v") !=0){
                   5602:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   5603:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   5604:       return 1;
                   5605:     }
1.187     brouard  5606:     strcpy(modelsav,model); 
                   5607:     if ((strpt=strstr(model,"age*age")) !=0){
                   5608:       printf(" strpt=%s, model=%s\n",strpt, model);
                   5609:       if(strpt != model){
                   5610:       printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
                   5611:  'model=1+age+age*age+V1' or 'model=1+age+age*age+V1+V1*age', please swap as well as \n \
                   5612:  corresponding column of parameters.\n",model);
                   5613:       fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
                   5614:  'model=1+age+age*age+V1' or 'model=1+age+age*age+V1+V1*age', please swap as well as \n \
                   5615:  corresponding column of parameters.\n",model); fflush(ficlog);
                   5616:       return 1;
                   5617:     }
                   5618: 
                   5619:       nagesqr=1;
                   5620:       if (strstr(model,"+age*age") !=0)
                   5621:        substrchaine(modelsav, model, "+age*age");
                   5622:       else if (strstr(model,"age*age+") !=0)
                   5623:        substrchaine(modelsav, model, "age*age+");
                   5624:       else 
                   5625:        substrchaine(modelsav, model, "age*age");
                   5626:     }else
                   5627:       nagesqr=0;
                   5628:     if (strlen(modelsav) >1){
                   5629:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   5630:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
                   5631:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =2  */
                   5632:       cptcovt= j+1; /* Number of total covariates in the model, not including
                   5633:                   * cst, age and age*age 
                   5634:                   * V1+V1*age+ V3 + V3*V4+age*age=> 4*/
                   5635:                   /* including age products which are counted in cptcovage.
                   5636:                  * but the covariates which are products must be treated 
                   5637:                  * separately: ncovn=4- 2=2 (V1+V3). */
                   5638:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   5639:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
                   5640: 
                   5641:     
                   5642:       /*   Design
                   5643:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   5644:        *  <          ncovcol=8                >
                   5645:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   5646:        *   k=  1    2      3       4     5       6      7        8
                   5647:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   5648:        *  covar[k,i], value of kth covariate if not including age for individual i:
                   5649:        *       covar[1][i]= (V2), covar[4][i]=(V3), covar[8][i]=(V8)
                   5650:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[4]=3 Tvar[8]=8
                   5651:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   5652:        *  Tage[++cptcovage]=k
                   5653:        *       if products, new covar are created after ncovcol with k1
                   5654:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   5655:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   5656:        *  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
                   5657:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   5658:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   5659:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   5660:        *  <          ncovcol=8                >
                   5661:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   5662:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   5663:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
                   5664:        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   5665:        * p Tprod[1]@2={                         6, 5}
                   5666:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   5667:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   5668:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                   5669:        *How to reorganize?
                   5670:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   5671:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   5672:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   5673:        * Struct []
                   5674:        */
1.145     brouard  5675: 
1.187     brouard  5676:       /* This loop fills the array Tvar from the string 'model'.*/
                   5677:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   5678:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   5679:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   5680:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   5681:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   5682:       /*       k=1 Tvar[1]=2 (from V2) */
                   5683:       /*       k=5 Tvar[5] */
                   5684:       /* for (k=1; k<=cptcovn;k++) { */
                   5685:       /*       cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]]; */
                   5686:       /*       } */
                   5687:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtab[ij][Tvar[Tage[k]]]]*cov[2]; */
                   5688:       /*
                   5689:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
                   5690:       for(k=cptcovt; k>=1;k--) /**< Number of covariates */
1.145     brouard  5691:         Tvar[k]=0;
1.187     brouard  5692:       cptcovage=0;
                   5693:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
                   5694:        cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
                   5695:                                         modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
                   5696:        if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
                   5697:        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                   5698:        /*scanf("%d",i);*/
                   5699:        if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
                   5700:          cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
                   5701:          if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                   5702:            /* covar is not filled and then is empty */
                   5703:            cptcovprod--;
                   5704:            cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                   5705:            Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
                   5706:            cptcovage++; /* Sums the number of covariates which include age as a product */
                   5707:            Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
                   5708:            /*printf("stre=%s ", stre);*/
                   5709:          } else if (strcmp(strd,"age")==0) { /* or age*Vn */
                   5710:            cptcovprod--;
                   5711:            cutl(stre,strb,strc,'V');
                   5712:            Tvar[k]=atoi(stre);
                   5713:            cptcovage++;
                   5714:            Tage[cptcovage]=k;
                   5715:          } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                   5716:            /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                   5717:            cptcovn++;
                   5718:            cptcovprodnoage++;k1++;
                   5719:            cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                   5720:            Tvar[k]=ncovcol+k1; /* For model-covariate k tells which data-covariate to use but
                   5721:                                   because this model-covariate is a construction we invent a new column
                   5722:                                   ncovcol + k1
                   5723:                                   If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                   5724:                                   Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
                   5725:            cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                   5726:            Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
                   5727:            Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                   5728:            Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                   5729:            k2=k2+2;
                   5730:            Tvar[cptcovt+k2]=Tvard[k1][1]; /* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) */
                   5731:            Tvar[cptcovt+k2+1]=Tvard[k1][2];  /* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) */
                   5732:            for (i=1; i<=lastobs;i++){
                   5733:              /* Computes the new covariate which is a product of
                   5734:                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                   5735:              covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   5736:            }
                   5737:          } /* End age is not in the model */
                   5738:        } /* End if model includes a product */
                   5739:        else { /* no more sum */
                   5740:          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                   5741:          /*  scanf("%d",i);*/
                   5742:          cutl(strd,strc,strb,'V');
                   5743:          ks++; /**< Number of simple covariates */
1.145     brouard  5744:          cptcovn++;
1.187     brouard  5745:          Tvar[k]=atoi(strd);
                   5746:        }
                   5747:        strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
                   5748:        /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
                   5749:          scanf("%d",i);*/
                   5750:       } /* end of loop + on total covariates */
                   5751:     } /* end if strlen(modelsave == 0) age*age might exist */
                   5752:   } /* end if strlen(model == 0) */
1.136     brouard  5753:   
                   5754:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   5755:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
                   5756: 
                   5757:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
                   5758:   printf("cptcovprod=%d ", cptcovprod);
                   5759:   fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
                   5760: 
                   5761:   scanf("%d ",i);*/
                   5762: 
                   5763: 
1.137     brouard  5764:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  5765:   /*endread:*/
1.136     brouard  5766:     printf("Exiting decodemodel: ");
                   5767:     return (1);
                   5768: }
                   5769: 
1.169     brouard  5770: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.136     brouard  5771: {
                   5772:   int i, m;
                   5773: 
                   5774:   for (i=1; i<=imx; i++) {
                   5775:     for(m=2; (m<= maxwav); m++) {
                   5776:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   5777:        anint[m][i]=9999;
                   5778:        s[m][i]=-1;
                   5779:       }
                   5780:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.169     brouard  5781:        *nberr = *nberr + 1;
                   5782:        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);
                   5783:        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  5784:        s[m][i]=-1;
                   5785:       }
                   5786:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  5787:        (*nberr)++;
1.136     brouard  5788:        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]); 
                   5789:        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]); 
                   5790:        s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
                   5791:       }
                   5792:     }
                   5793:   }
                   5794: 
                   5795:   for (i=1; i<=imx; i++)  {
                   5796:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   5797:     for(m=firstpass; (m<= lastpass); m++){
                   5798:       if(s[m][i] >0 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5){
                   5799:        if (s[m][i] >= nlstate+1) {
1.169     brouard  5800:          if(agedc[i]>0){
                   5801:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  5802:              agev[m][i]=agedc[i];
                   5803:          /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  5804:            }else {
1.136     brouard  5805:              if ((int)andc[i]!=9999){
                   5806:                nbwarn++;
                   5807:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   5808:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   5809:                agev[m][i]=-1;
                   5810:              }
                   5811:            }
1.169     brouard  5812:          } /* agedc > 0 */
1.136     brouard  5813:        }
                   5814:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   5815:                                 years but with the precision of a month */
                   5816:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   5817:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   5818:            agev[m][i]=1;
                   5819:          else if(agev[m][i] < *agemin){ 
                   5820:            *agemin=agev[m][i];
                   5821:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   5822:          }
                   5823:          else if(agev[m][i] >*agemax){
                   5824:            *agemax=agev[m][i];
1.156     brouard  5825:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  5826:          }
                   5827:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   5828:          /*     agev[m][i] = age[i]+2*m;*/
                   5829:        }
                   5830:        else { /* =9 */
                   5831:          agev[m][i]=1;
                   5832:          s[m][i]=-1;
                   5833:        }
                   5834:       }
                   5835:       else /*= 0 Unknown */
                   5836:        agev[m][i]=1;
                   5837:     }
                   5838:     
                   5839:   }
                   5840:   for (i=1; i<=imx; i++)  {
                   5841:     for(m=firstpass; (m<=lastpass); m++){
                   5842:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  5843:        (*nberr)++;
1.136     brouard  5844:        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);     
                   5845:        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);     
                   5846:        return 1;
                   5847:       }
                   5848:     }
                   5849:   }
                   5850: 
                   5851:   /*for (i=1; i<=imx; i++){
                   5852:   for (m=firstpass; (m<lastpass); m++){
                   5853:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   5854: }
                   5855: 
                   5856: }*/
                   5857: 
                   5858: 
1.139     brouard  5859:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   5860:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  5861: 
                   5862:   return (0);
1.164     brouard  5863:  /* endread:*/
1.136     brouard  5864:     printf("Exiting calandcheckages: ");
                   5865:     return (1);
                   5866: }
                   5867: 
1.172     brouard  5868: #if defined(_MSC_VER)
                   5869: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   5870: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   5871: //#include "stdafx.h"
                   5872: //#include <stdio.h>
                   5873: //#include <tchar.h>
                   5874: //#include <windows.h>
                   5875: //#include <iostream>
                   5876: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   5877: 
                   5878: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   5879: 
                   5880: BOOL IsWow64()
                   5881: {
                   5882:        BOOL bIsWow64 = FALSE;
                   5883: 
                   5884:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   5885:        //  (HANDLE, PBOOL);
                   5886: 
                   5887:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   5888: 
                   5889:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   5890:        const char funcName[] = "IsWow64Process";
                   5891:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   5892:                GetProcAddress(module, funcName);
                   5893: 
                   5894:        if (NULL != fnIsWow64Process)
                   5895:        {
                   5896:                if (!fnIsWow64Process(GetCurrentProcess(),
                   5897:                        &bIsWow64))
                   5898:                        //throw std::exception("Unknown error");
                   5899:                        printf("Unknown error\n");
                   5900:        }
                   5901:        return bIsWow64 != FALSE;
                   5902: }
                   5903: #endif
1.177     brouard  5904: 
1.191   ! brouard  5905: void syscompilerinfo(int logged)
1.167     brouard  5906:  {
                   5907:    /* #include "syscompilerinfo.h"*/
1.185     brouard  5908:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   5909:    /* /GS /W3 /Gy
                   5910:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   5911:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   5912:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  5913:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   5914:    */ 
                   5915:    /* 64 bits */
1.185     brouard  5916:    /*
                   5917:      /GS /W3 /Gy
                   5918:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   5919:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   5920:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   5921:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   5922:    /* Optimization are useless and O3 is slower than O2 */
                   5923:    /*
                   5924:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   5925:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   5926:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   5927:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   5928:    */
1.186     brouard  5929:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  5930:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   5931:       /PDB:"visual studio
                   5932:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   5933:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   5934:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   5935:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   5936:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   5937:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   5938:       uiAccess='false'"
                   5939:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   5940:       /NOLOGO /TLBID:1
                   5941:    */
1.177     brouard  5942: #if defined __INTEL_COMPILER
1.178     brouard  5943: #if defined(__GNUC__)
                   5944:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   5945: #endif
1.177     brouard  5946: #elif defined(__GNUC__) 
1.179     brouard  5947: #ifndef  __APPLE__
1.174     brouard  5948: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  5949: #endif
1.177     brouard  5950:    struct utsname sysInfo;
1.178     brouard  5951:    int cross = CROSS;
                   5952:    if (cross){
                   5953:           printf("Cross-");
1.191   ! brouard  5954:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  5955:    }
1.174     brouard  5956: #endif
                   5957: 
1.171     brouard  5958: #include <stdint.h>
1.178     brouard  5959: 
1.191   ! brouard  5960:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  5961: #if defined(__clang__)
1.191   ! brouard  5962:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  5963: #endif
                   5964: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191   ! brouard  5965:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  5966: #endif
                   5967: #if defined(__GNUC__) || defined(__GNUG__)
1.191   ! brouard  5968:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  5969: #endif
                   5970: #if defined(__HP_cc) || defined(__HP_aCC)
1.191   ! brouard  5971:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  5972: #endif
                   5973: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191   ! brouard  5974:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  5975: #endif
                   5976: #if defined(_MSC_VER)
1.191   ! brouard  5977:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  5978: #endif
                   5979: #if defined(__PGI)
1.191   ! brouard  5980:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  5981: #endif
                   5982: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191   ! brouard  5983:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  5984: #endif
1.191   ! brouard  5985:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  5986:    
1.167     brouard  5987: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   5988: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   5989:     // Windows (x64 and x86)
1.191   ! brouard  5990:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  5991: #elif __unix__ // all unices, not all compilers
                   5992:     // Unix
1.191   ! brouard  5993:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  5994: #elif __linux__
                   5995:     // linux
1.191   ! brouard  5996:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  5997: #elif __APPLE__
1.174     brouard  5998:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191   ! brouard  5999:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  6000: #endif
                   6001: 
                   6002: /*  __MINGW32__          */
                   6003: /*  __CYGWIN__  */
                   6004: /* __MINGW64__  */
                   6005: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   6006: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   6007: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   6008: /* _WIN64  // Defined for applications for Win64. */
                   6009: /* _M_X64 // Defined for compilations that target x64 processors. */
                   6010: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  6011: 
1.167     brouard  6012: #if UINTPTR_MAX == 0xffffffff
1.191   ! brouard  6013:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  6014: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191   ! brouard  6015:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  6016: #else
1.191   ! brouard  6017:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  6018: #endif
                   6019: 
1.169     brouard  6020: #if defined(__GNUC__)
                   6021: # if defined(__GNUC_PATCHLEVEL__)
                   6022: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   6023:                             + __GNUC_MINOR__ * 100 \
                   6024:                             + __GNUC_PATCHLEVEL__)
                   6025: # else
                   6026: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   6027:                             + __GNUC_MINOR__ * 100)
                   6028: # endif
1.174     brouard  6029:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191   ! brouard  6030:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  6031: 
                   6032:    if (uname(&sysInfo) != -1) {
                   6033:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191   ! brouard  6034:         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  6035:    }
                   6036:    else
                   6037:       perror("uname() error");
1.179     brouard  6038:    //#ifndef __INTEL_COMPILER 
                   6039: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  6040:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191   ! brouard  6041:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  6042: #endif
1.169     brouard  6043: #endif
1.172     brouard  6044: 
                   6045:    //   void main()
                   6046:    //   {
1.169     brouard  6047: #if defined(_MSC_VER)
1.174     brouard  6048:    if (IsWow64()){
1.191   ! brouard  6049:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
        !          6050:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  6051:    }
                   6052:    else{
1.191   ! brouard  6053:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
        !          6054:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  6055:    }
1.172     brouard  6056:    //     printf("\nPress Enter to continue...");
                   6057:    //     getchar();
                   6058:    //   }
                   6059: 
1.169     brouard  6060: #endif
                   6061:    
1.167     brouard  6062: 
                   6063:  }
1.136     brouard  6064: 
1.180     brouard  6065: int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar){
                   6066:   /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
                   6067:   int i, j, k, i1 ;
                   6068:   double ftolpl = 1.e-10;
                   6069:   double age, agebase, agelim;
                   6070: 
                   6071:     strcpy(filerespl,"pl");
                   6072:     strcat(filerespl,fileres);
                   6073:     if((ficrespl=fopen(filerespl,"w"))==NULL) {
                   6074:       printf("Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   6075:       fprintf(ficlog,"Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   6076:     }
                   6077:     printf("Computing period (stable) prevalence: result on file '%s' \n", filerespl);
                   6078:     fprintf(ficlog,"Computing period (stable) prevalence: result on file '%s' \n", filerespl);
                   6079:     pstamp(ficrespl);
                   6080:     fprintf(ficrespl,"# Period (stable) prevalence \n");
                   6081:     fprintf(ficrespl,"#Age ");
                   6082:     for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   6083:     fprintf(ficrespl,"\n");
                   6084:   
                   6085:     /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   6086: 
                   6087:     agebase=ageminpar;
                   6088:     agelim=agemaxpar;
                   6089: 
                   6090:     i1=pow(2,cptcoveff);
                   6091:     if (cptcovn < 1){i1=1;}
                   6092: 
                   6093:     for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   6094:     /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
                   6095:       //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
                   6096:        k=k+1;
                   6097:        /* to clean */
                   6098:        //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtab[cptcod][cptcov]);
                   6099:        fprintf(ficrespl,"\n#******");
                   6100:        printf("\n#******");
                   6101:        fprintf(ficlog,"\n#******");
                   6102:        for(j=1;j<=cptcoveff;j++) {
                   6103:          fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   6104:          printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   6105:          fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   6106:        }
                   6107:        fprintf(ficrespl,"******\n");
                   6108:        printf("******\n");
                   6109:        fprintf(ficlog,"******\n");
                   6110: 
                   6111:        fprintf(ficrespl,"#Age ");
                   6112:        for(j=1;j<=cptcoveff;j++) {
                   6113:          fprintf(ficrespl,"V%d %d",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   6114:        }
                   6115:        for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   6116:        fprintf(ficrespl,"\n");
                   6117:        
                   6118:        for (age=agebase; age<=agelim; age++){
                   6119:        /* for (age=agebase; age<=agebase; age++){ */
                   6120:          prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
                   6121:          fprintf(ficrespl,"%.0f ",age );
                   6122:          for(j=1;j<=cptcoveff;j++)
                   6123:            fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   6124:          for(i=1; i<=nlstate;i++)
                   6125:            fprintf(ficrespl," %.5f", prlim[i][i]);
                   6126:          fprintf(ficrespl,"\n");
                   6127:        } /* Age */
                   6128:        /* was end of cptcod */
                   6129:     } /* cptcov */
1.184     brouard  6130:        return 0;
1.180     brouard  6131: }
                   6132: 
                   6133: int hPijx(double *p, int bage, int fage){
                   6134:     /*------------- h Pij x at various ages ------------*/
                   6135: 
                   6136:   int stepsize;
                   6137:   int agelim;
                   6138:   int hstepm;
                   6139:   int nhstepm;
                   6140:   int h, i, i1, j, k;
                   6141: 
                   6142:   double agedeb;
                   6143:   double ***p3mat;
                   6144: 
                   6145:     strcpy(filerespij,"pij");  strcat(filerespij,fileres);
                   6146:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   6147:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   6148:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   6149:     }
                   6150:     printf("Computing pij: result on file '%s' \n", filerespij);
                   6151:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   6152:   
                   6153:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   6154:     /*if (stepm<=24) stepsize=2;*/
                   6155: 
                   6156:     agelim=AGESUP;
                   6157:     hstepm=stepsize*YEARM; /* Every year of age */
                   6158:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
                   6159: 
                   6160:     /* hstepm=1;   aff par mois*/
                   6161:     pstamp(ficrespij);
                   6162:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
                   6163:     i1= pow(2,cptcoveff);
1.183     brouard  6164:    /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   6165:    /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   6166:    /*          k=k+1;  */
                   6167:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   6168:       fprintf(ficrespij,"\n#****** ");
                   6169:       for(j=1;j<=cptcoveff;j++) 
                   6170:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   6171:       fprintf(ficrespij,"******\n");
                   6172:       
                   6173:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   6174:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6175:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6176:        
                   6177:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  6178:        
1.183     brouard  6179:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6180:        oldm=oldms;savm=savms;
                   6181:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   6182:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   6183:        for(i=1; i<=nlstate;i++)
                   6184:          for(j=1; j<=nlstate+ndeath;j++)
                   6185:            fprintf(ficrespij," %1d-%1d",i,j);
                   6186:        fprintf(ficrespij,"\n");
                   6187:        for (h=0; h<=nhstepm; h++){
                   6188:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   6189:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  6190:          for(i=1; i<=nlstate;i++)
                   6191:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  6192:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  6193:          fprintf(ficrespij,"\n");
                   6194:        }
1.183     brouard  6195:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6196:        fprintf(ficrespij,"\n");
                   6197:       }
1.180     brouard  6198:       /*}*/
                   6199:     }
1.184     brouard  6200:        return 0;
1.180     brouard  6201: }
                   6202: 
                   6203: 
1.136     brouard  6204: /***********************************************/
                   6205: /**************** Main Program *****************/
                   6206: /***********************************************/
                   6207: 
                   6208: int main(int argc, char *argv[])
                   6209: {
                   6210: #ifdef GSL
                   6211:   const gsl_multimin_fminimizer_type *T;
                   6212:   size_t iteri = 0, it;
                   6213:   int rval = GSL_CONTINUE;
                   6214:   int status = GSL_SUCCESS;
                   6215:   double ssval;
                   6216: #endif
                   6217:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.164     brouard  6218:   int i,j, k, n=MAXN,iter=0,m,size=100, cptcod;
                   6219: 
                   6220:   int jj, ll, li, lj, lk;
1.136     brouard  6221:   int numlinepar=0; /* Current linenumber of parameter file */
                   6222:   int itimes;
                   6223:   int NDIM=2;
                   6224:   int vpopbased=0;
                   6225: 
1.164     brouard  6226:   char ca[32], cb[32];
1.136     brouard  6227:   /*  FILE *fichtm; *//* Html File */
                   6228:   /* FILE *ficgp;*/ /*Gnuplot File */
                   6229:   struct stat info;
1.191   ! brouard  6230:   double agedeb=0.;
1.136     brouard  6231:   double ageminpar=1.e20,agemin=1.e20, agemaxpar=-1.e20, agemax=-1.e20;
                   6232: 
1.165     brouard  6233:   double fret;
1.191   ! brouard  6234:   double dum=0.; /* Dummy variable */
1.136     brouard  6235:   double ***p3mat;
                   6236:   double ***mobaverage;
1.164     brouard  6237: 
                   6238:   char line[MAXLINE];
1.136     brouard  6239:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE],model[MAXLINE];
                   6240:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  6241:   char *tok, *val; /* pathtot */
1.136     brouard  6242:   int firstobs=1, lastobs=10;
1.164     brouard  6243:   int c,  h , cpt;
1.191   ! brouard  6244:   int jl=0;
        !          6245:   int i1, j1, jk, stepsize=0;
1.164     brouard  6246:   int *tab; 
1.136     brouard  6247:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
                   6248:   int mobilav=0,popforecast=0;
1.191   ! brouard  6249:   int hstepm=0, nhstepm=0;
1.136     brouard  6250:   int agemortsup;
                   6251:   float  sumlpop=0.;
                   6252:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   6253:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   6254: 
1.191   ! brouard  6255:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  6256:   double ftolpl=FTOL;
                   6257:   double **prlim;
                   6258:   double ***param; /* Matrix of parameters */
                   6259:   double  *p;
                   6260:   double **matcov; /* Matrix of covariance */
                   6261:   double ***delti3; /* Scale */
                   6262:   double *delti; /* Scale */
                   6263:   double ***eij, ***vareij;
                   6264:   double **varpl; /* Variances of prevalence limits by age */
                   6265:   double *epj, vepp;
1.164     brouard  6266: 
1.136     brouard  6267:   double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
                   6268:   double **ximort;
1.145     brouard  6269:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  6270:   int *dcwave;
                   6271: 
1.164     brouard  6272:   char z[1]="c";
1.136     brouard  6273: 
                   6274:   /*char  *strt;*/
                   6275:   char strtend[80];
1.126     brouard  6276: 
1.164     brouard  6277: 
1.126     brouard  6278: /*   setlocale (LC_ALL, ""); */
                   6279: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   6280: /*   textdomain (PACKAGE); */
                   6281: /*   setlocale (LC_CTYPE, ""); */
                   6282: /*   setlocale (LC_MESSAGES, ""); */
                   6283: 
                   6284:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  6285:   rstart_time = time(NULL);  
                   6286:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   6287:   start_time = *localtime(&rstart_time);
1.126     brouard  6288:   curr_time=start_time;
1.157     brouard  6289:   /*tml = *localtime(&start_time.tm_sec);*/
                   6290:   /* strcpy(strstart,asctime(&tml)); */
                   6291:   strcpy(strstart,asctime(&start_time));
1.126     brouard  6292: 
                   6293: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  6294: /*  tp.tm_sec = tp.tm_sec +86400; */
                   6295: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  6296: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   6297: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   6298: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  6299: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  6300: /*   strt=asctime(&tmg); */
                   6301: /*   printf("Time(after) =%s",strstart);  */
                   6302: /*  (void) time (&time_value);
                   6303: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   6304: *  tm = *localtime(&time_value);
                   6305: *  strstart=asctime(&tm);
                   6306: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   6307: */
                   6308: 
                   6309:   nberr=0; /* Number of errors and warnings */
                   6310:   nbwarn=0;
1.184     brouard  6311: #ifdef WIN32
                   6312:   _getcwd(pathcd, size);
                   6313: #else
1.126     brouard  6314:   getcwd(pathcd, size);
1.184     brouard  6315: #endif
1.191   ! brouard  6316:   syscompilerinfo(0);
1.126     brouard  6317:   printf("\n%s\n%s",version,fullversion);
                   6318:   if(argc <=1){
                   6319:     printf("\nEnter the parameter file name: ");
                   6320:     fgets(pathr,FILENAMELENGTH,stdin);
                   6321:     i=strlen(pathr);
                   6322:     if(pathr[i-1]=='\n')
                   6323:       pathr[i-1]='\0';
1.156     brouard  6324:     i=strlen(pathr);
                   6325:     if(pathr[i-1]==' ') /* This may happen when dragging on oS/X! */
                   6326:       pathr[i-1]='\0';
1.126     brouard  6327:    for (tok = pathr; tok != NULL; ){
                   6328:       printf("Pathr |%s|\n",pathr);
                   6329:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   6330:       printf("val= |%s| pathr=%s\n",val,pathr);
                   6331:       strcpy (pathtot, val);
                   6332:       if(pathr[0] == '\0') break; /* Dirty */
                   6333:     }
                   6334:   }
                   6335:   else{
                   6336:     strcpy(pathtot,argv[1]);
                   6337:   }
                   6338:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   6339:   /*cygwin_split_path(pathtot,path,optionfile);
                   6340:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   6341:   /* cutv(path,optionfile,pathtot,'\\');*/
                   6342: 
                   6343:   /* Split argv[0], imach program to get pathimach */
                   6344:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   6345:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   6346:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   6347:  /*   strcpy(pathimach,argv[0]); */
                   6348:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   6349:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   6350:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  6351: #ifdef WIN32
                   6352:   _chdir(path); /* Can be a relative path */
                   6353:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   6354: #else
1.126     brouard  6355:   chdir(path); /* Can be a relative path */
1.184     brouard  6356:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   6357: #endif
                   6358:   printf("Current directory %s!\n",pathcd);
1.126     brouard  6359:   strcpy(command,"mkdir ");
                   6360:   strcat(command,optionfilefiname);
                   6361:   if((outcmd=system(command)) != 0){
1.169     brouard  6362:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  6363:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   6364:     /* fclose(ficlog); */
                   6365: /*     exit(1); */
                   6366:   }
                   6367: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   6368: /*     perror("mkdir"); */
                   6369: /*   } */
                   6370: 
                   6371:   /*-------- arguments in the command line --------*/
                   6372: 
1.186     brouard  6373:   /* Main Log file */
1.126     brouard  6374:   strcat(filelog, optionfilefiname);
                   6375:   strcat(filelog,".log");    /* */
                   6376:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   6377:     printf("Problem with logfile %s\n",filelog);
                   6378:     goto end;
                   6379:   }
                   6380:   fprintf(ficlog,"Log filename:%s\n",filelog);
                   6381:   fprintf(ficlog,"\n%s\n%s",version,fullversion);
                   6382:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   6383:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   6384:  path=%s \n\
                   6385:  optionfile=%s\n\
                   6386:  optionfilext=%s\n\
1.156     brouard  6387:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  6388: 
1.191   ! brouard  6389:   syscompilerinfo(0);
1.167     brouard  6390: 
1.126     brouard  6391:   printf("Local time (at start):%s",strstart);
                   6392:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   6393:   fflush(ficlog);
                   6394: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  6395: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  6396: 
                   6397:   /* */
                   6398:   strcpy(fileres,"r");
                   6399:   strcat(fileres, optionfilefiname);
                   6400:   strcat(fileres,".txt");    /* Other files have txt extension */
                   6401: 
1.186     brouard  6402:   /* Main ---------arguments file --------*/
1.126     brouard  6403: 
                   6404:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  6405:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   6406:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  6407:     fflush(ficlog);
1.149     brouard  6408:     /* goto end; */
                   6409:     exit(70); 
1.126     brouard  6410:   }
                   6411: 
                   6412: 
                   6413: 
                   6414:   strcpy(filereso,"o");
                   6415:   strcat(filereso,fileres);
                   6416:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   6417:     printf("Problem with Output resultfile: %s\n", filereso);
                   6418:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   6419:     fflush(ficlog);
                   6420:     goto end;
                   6421:   }
                   6422: 
                   6423:   /* Reads comments: lines beginning with '#' */
                   6424:   numlinepar=0;
                   6425:   while((c=getc(ficpar))=='#' && c!= EOF){
                   6426:     ungetc(c,ficpar);
                   6427:     fgets(line, MAXLINE, ficpar);
                   6428:     numlinepar++;
1.141     brouard  6429:     fputs(line,stdout);
1.126     brouard  6430:     fputs(line,ficparo);
                   6431:     fputs(line,ficlog);
                   6432:   }
                   6433:   ungetc(c,ficpar);
                   6434: 
1.187     brouard  6435:   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);
1.126     brouard  6436:   numlinepar++;
1.187     brouard  6437:   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);
                   6438:   if(model[strlen(model)-1]=='.') /* Suppressing leading dot in the model */
                   6439:     model[strlen(model)-1]='\0';
                   6440:   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);
                   6441:   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  6442:   fflush(ficlog);
1.190     brouard  6443:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   6444:   if(model[0]=='#'){
1.187     brouard  6445:     printf("Error in 'model' line: model should start with 'model=1+age+' and end with '.' \n \
                   6446:  'model=1+age+.' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age.' or \n \
                   6447:  'model=1+age+V1+V2.' or 'model=1+age+V1+V2+V1*V2.' etc. \n");         \
                   6448:     if(mle != -1){
                   6449:       printf("Fix the model line and run imach with mle=-1 to get a correct template of the parameter file.\n");
                   6450:       exit(1);
                   6451:     }
                   6452:   }
1.126     brouard  6453:   while((c=getc(ficpar))=='#' && c!= EOF){
                   6454:     ungetc(c,ficpar);
                   6455:     fgets(line, MAXLINE, ficpar);
                   6456:     numlinepar++;
1.141     brouard  6457:     fputs(line, stdout);
                   6458:     //puts(line);
1.126     brouard  6459:     fputs(line,ficparo);
                   6460:     fputs(line,ficlog);
                   6461:   }
                   6462:   ungetc(c,ficpar);
                   6463: 
                   6464:    
1.145     brouard  6465:   covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
1.136     brouard  6466:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   6467:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   6468:      v1+v2*age+v2*v3 makes cptcovn = 3
                   6469:   */
                   6470:   if (strlen(model)>1) 
1.187     brouard  6471:     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  6472:   else
1.187     brouard  6473:     ncovmodel=2; /* Constant and age */
1.133     brouard  6474:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   6475:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  6476:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   6477:     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);
                   6478:     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);
                   6479:     fflush(stdout);
                   6480:     fclose (ficlog);
                   6481:     goto end;
                   6482:   }
1.126     brouard  6483:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   6484:   delti=delti3[1][1];
                   6485:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   6486:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
                   6487:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191   ! brouard  6488:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
        !          6489:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  6490:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   6491:     fclose (ficparo);
                   6492:     fclose (ficlog);
                   6493:     goto end;
                   6494:     exit(0);
                   6495:   }
1.186     brouard  6496:   else if(mle==-3) { /* Main Wizard */
1.126     brouard  6497:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
                   6498:     printf(" You choose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   6499:     fprintf(ficlog," You choose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   6500:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   6501:     matcov=matrix(1,npar,1,npar);
                   6502:   }
                   6503:   else{
1.145     brouard  6504:     /* Read guessed parameters */
1.126     brouard  6505:     /* Reads comments: lines beginning with '#' */
                   6506:     while((c=getc(ficpar))=='#' && c!= EOF){
                   6507:       ungetc(c,ficpar);
                   6508:       fgets(line, MAXLINE, ficpar);
                   6509:       numlinepar++;
1.141     brouard  6510:       fputs(line,stdout);
1.126     brouard  6511:       fputs(line,ficparo);
                   6512:       fputs(line,ficlog);
                   6513:     }
                   6514:     ungetc(c,ficpar);
                   6515:     
                   6516:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   6517:     for(i=1; i <=nlstate; i++){
                   6518:       j=0;
                   6519:       for(jj=1; jj <=nlstate+ndeath; jj++){
                   6520:        if(jj==i) continue;
                   6521:        j++;
                   6522:        fscanf(ficpar,"%1d%1d",&i1,&j1);
                   6523:        if ((i1 != i) && (j1 != j)){
                   6524:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
                   6525: It might be a problem of design; if ncovcol and the model are correct\n \
                   6526: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
                   6527:          exit(1);
                   6528:        }
                   6529:        fprintf(ficparo,"%1d%1d",i1,j1);
                   6530:        if(mle==1)
                   6531:          printf("%1d%1d",i,j);
                   6532:        fprintf(ficlog,"%1d%1d",i,j);
                   6533:        for(k=1; k<=ncovmodel;k++){
                   6534:          fscanf(ficpar," %lf",&param[i][j][k]);
                   6535:          if(mle==1){
                   6536:            printf(" %lf",param[i][j][k]);
                   6537:            fprintf(ficlog," %lf",param[i][j][k]);
                   6538:          }
                   6539:          else
                   6540:            fprintf(ficlog," %lf",param[i][j][k]);
                   6541:          fprintf(ficparo," %lf",param[i][j][k]);
                   6542:        }
                   6543:        fscanf(ficpar,"\n");
                   6544:        numlinepar++;
                   6545:        if(mle==1)
                   6546:          printf("\n");
                   6547:        fprintf(ficlog,"\n");
                   6548:        fprintf(ficparo,"\n");
                   6549:       }
                   6550:     }  
                   6551:     fflush(ficlog);
                   6552: 
1.145     brouard  6553:     /* Reads scales values */
1.126     brouard  6554:     p=param[1][1];
                   6555:     
                   6556:     /* Reads comments: lines beginning with '#' */
                   6557:     while((c=getc(ficpar))=='#' && c!= EOF){
                   6558:       ungetc(c,ficpar);
                   6559:       fgets(line, MAXLINE, ficpar);
                   6560:       numlinepar++;
1.141     brouard  6561:       fputs(line,stdout);
1.126     brouard  6562:       fputs(line,ficparo);
                   6563:       fputs(line,ficlog);
                   6564:     }
                   6565:     ungetc(c,ficpar);
                   6566: 
                   6567:     for(i=1; i <=nlstate; i++){
                   6568:       for(j=1; j <=nlstate+ndeath-1; j++){
                   6569:        fscanf(ficpar,"%1d%1d",&i1,&j1);
1.164     brouard  6570:        if ( (i1-i) * (j1-j) != 0){
1.126     brouard  6571:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   6572:          exit(1);
                   6573:        }
                   6574:        printf("%1d%1d",i,j);
                   6575:        fprintf(ficparo,"%1d%1d",i1,j1);
                   6576:        fprintf(ficlog,"%1d%1d",i1,j1);
                   6577:        for(k=1; k<=ncovmodel;k++){
                   6578:          fscanf(ficpar,"%le",&delti3[i][j][k]);
                   6579:          printf(" %le",delti3[i][j][k]);
                   6580:          fprintf(ficparo," %le",delti3[i][j][k]);
                   6581:          fprintf(ficlog," %le",delti3[i][j][k]);
                   6582:        }
                   6583:        fscanf(ficpar,"\n");
                   6584:        numlinepar++;
                   6585:        printf("\n");
                   6586:        fprintf(ficparo,"\n");
                   6587:        fprintf(ficlog,"\n");
                   6588:       }
                   6589:     }
                   6590:     fflush(ficlog);
                   6591: 
1.145     brouard  6592:     /* Reads covariance matrix */
1.126     brouard  6593:     delti=delti3[1][1];
                   6594: 
                   6595: 
                   6596:     /* free_ma3x(delti3,1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */ /* Hasn't to to freed here otherwise delti is no more allocated */
                   6597:   
                   6598:     /* Reads comments: lines beginning with '#' */
                   6599:     while((c=getc(ficpar))=='#' && c!= EOF){
                   6600:       ungetc(c,ficpar);
                   6601:       fgets(line, MAXLINE, ficpar);
                   6602:       numlinepar++;
1.141     brouard  6603:       fputs(line,stdout);
1.126     brouard  6604:       fputs(line,ficparo);
                   6605:       fputs(line,ficlog);
                   6606:     }
                   6607:     ungetc(c,ficpar);
                   6608:   
                   6609:     matcov=matrix(1,npar,1,npar);
1.131     brouard  6610:     for(i=1; i <=npar; i++)
                   6611:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
                   6612:       
1.126     brouard  6613:     for(i=1; i <=npar; i++){
1.145     brouard  6614:       fscanf(ficpar,"%s",str);
1.126     brouard  6615:       if(mle==1)
                   6616:        printf("%s",str);
                   6617:       fprintf(ficlog,"%s",str);
                   6618:       fprintf(ficparo,"%s",str);
                   6619:       for(j=1; j <=i; j++){
                   6620:        fscanf(ficpar," %le",&matcov[i][j]);
                   6621:        if(mle==1){
                   6622:          printf(" %.5le",matcov[i][j]);
                   6623:        }
                   6624:        fprintf(ficlog," %.5le",matcov[i][j]);
                   6625:        fprintf(ficparo," %.5le",matcov[i][j]);
                   6626:       }
                   6627:       fscanf(ficpar,"\n");
                   6628:       numlinepar++;
                   6629:       if(mle==1)
                   6630:        printf("\n");
                   6631:       fprintf(ficlog,"\n");
                   6632:       fprintf(ficparo,"\n");
                   6633:     }
                   6634:     for(i=1; i <=npar; i++)
                   6635:       for(j=i+1;j<=npar;j++)
                   6636:        matcov[i][j]=matcov[j][i];
                   6637:     
                   6638:     if(mle==1)
                   6639:       printf("\n");
                   6640:     fprintf(ficlog,"\n");
                   6641:     
                   6642:     fflush(ficlog);
                   6643:     
                   6644:     /*-------- Rewriting parameter file ----------*/
                   6645:     strcpy(rfileres,"r");    /* "Rparameterfile */
                   6646:     strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
                   6647:     strcat(rfileres,".");    /* */
                   6648:     strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   6649:     if((ficres =fopen(rfileres,"w"))==NULL) {
                   6650:       printf("Problem writing new parameter file: %s\n", fileres);goto end;
                   6651:       fprintf(ficlog,"Problem writing new parameter file: %s\n", fileres);goto end;
                   6652:     }
                   6653:     fprintf(ficres,"#%s\n",version);
                   6654:   }    /* End of mle != -3 */
                   6655: 
1.186     brouard  6656:   /*  Main data
                   6657:    */
1.126     brouard  6658:   n= lastobs;
                   6659:   num=lvector(1,n);
                   6660:   moisnais=vector(1,n);
                   6661:   annais=vector(1,n);
                   6662:   moisdc=vector(1,n);
                   6663:   andc=vector(1,n);
                   6664:   agedc=vector(1,n);
                   6665:   cod=ivector(1,n);
                   6666:   weight=vector(1,n);
                   6667:   for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */
                   6668:   mint=matrix(1,maxwav,1,n);
                   6669:   anint=matrix(1,maxwav,1,n);
1.131     brouard  6670:   s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  6671:   tab=ivector(1,NCOVMAX);
1.144     brouard  6672:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.126     brouard  6673: 
1.136     brouard  6674:   /* Reads data from file datafile */
                   6675:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   6676:     goto end;
                   6677: 
                   6678:   /* Calculation of the number of parameters from char model */
1.137     brouard  6679:     /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
                   6680:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   6681:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   6682:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   6683:        k=1 Tvar[1]=2 (from V2)
                   6684:     */
                   6685:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
                   6686:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   6687:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   6688:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   6689:   */
                   6690:   /* For model-covariate k tells which data-covariate to use but
                   6691:     because this model-covariate is a construction we invent a new column
                   6692:     ncovcol + k1
                   6693:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   6694:     Tvar[3=V1*V4]=4+1 etc */
1.145     brouard  6695:   Tprod=ivector(1,NCOVMAX); /* Gives the position of a product */
1.137     brouard  6696:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   6697:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
                   6698:   */
1.145     brouard  6699:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   6700:   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  6701:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   6702:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  6703:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  6704:                         4 covariates (3 plus signs)
                   6705:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   6706:                      */  
1.136     brouard  6707: 
1.186     brouard  6708: /* Main decodemodel */
                   6709: 
1.187     brouard  6710: 
1.136     brouard  6711:   if(decodemodel(model, lastobs) == 1)
                   6712:     goto end;
                   6713: 
1.137     brouard  6714:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   6715:     nbwarn++;
                   6716:     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); 
                   6717:     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); 
                   6718:   }
1.136     brouard  6719:     /*  if(mle==1){*/
1.137     brouard  6720:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   6721:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  6722:   }
                   6723: 
                   6724:     /*-calculation of age at interview from date of interview and age at death -*/
                   6725:   agev=matrix(1,maxwav,1,imx);
                   6726: 
                   6727:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   6728:     goto end;
                   6729: 
1.126     brouard  6730: 
1.136     brouard  6731:   agegomp=(int)agemin;
                   6732:   free_vector(moisnais,1,n);
                   6733:   free_vector(annais,1,n);
1.126     brouard  6734:   /* free_matrix(mint,1,maxwav,1,n);
                   6735:      free_matrix(anint,1,maxwav,1,n);*/
                   6736:   free_vector(moisdc,1,n);
                   6737:   free_vector(andc,1,n);
1.145     brouard  6738:   /* */
                   6739:   
1.126     brouard  6740:   wav=ivector(1,imx);
                   6741:   dh=imatrix(1,lastpass-firstpass+1,1,imx);
                   6742:   bh=imatrix(1,lastpass-firstpass+1,1,imx);
                   6743:   mw=imatrix(1,lastpass-firstpass+1,1,imx);
                   6744:    
                   6745:   /* Concatenates waves */
                   6746:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.145     brouard  6747:   /* */
                   6748:  
1.126     brouard  6749:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   6750: 
                   6751:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   6752:   ncodemax[1]=1;
1.145     brouard  6753:   Ndum =ivector(-1,NCOVMAX);  
1.187     brouard  6754:   if (ncovmodel-nagesqr > 2 ) /* That is if covariate other than cst, age and age*age */
1.145     brouard  6755:     tricode(Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
1.186     brouard  6756:   /* Nbcode gives the value of the lth modality of jth covariate, in
                   6757:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
                   6758:   /* 1 to ncodemax[j] is the maximum value of this jth covariate */
1.145     brouard  6759: 
                   6760:   codtab=imatrix(1,100,1,10); /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
                   6761:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtab[100][10]);*/
1.186     brouard  6762:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.145     brouard  6763:   h=0;
                   6764: 
                   6765: 
                   6766:   /*if (cptcovn > 0) */
1.126     brouard  6767:       
1.145     brouard  6768:  
1.126     brouard  6769:   m=pow(2,cptcoveff);
                   6770:  
1.131     brouard  6771:   for(k=1;k<=cptcoveff; k++){ /* scans any effective covariate */
1.143     brouard  6772:     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 */ 
                   6773:       for(j=1; j <= ncodemax[k]; j++){ /* For each modality of this covariate ncodemax=2*/
                   6774:        for(cpt=1; cpt <=pow(2,k-1); cpt++){  /* cpt=1 to 8/2**(3+1-1 or 3+1-3) =1 or 4 */ 
1.126     brouard  6775:          h++;
1.141     brouard  6776:          if (h>m) 
1.136     brouard  6777:            h=1;
1.144     brouard  6778:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.186     brouard  6779:           * For k=4 covariates, h goes from 1 to 2**k
                   6780:           * codtabm(h,k)=  1 & (h-1) >> (k-1) ;
                   6781:           *     h\k   1     2     3     4
1.143     brouard  6782:           *______________________________  
                   6783:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   6784:           *     2     2     1     1     1
                   6785:           *     3 i=2 1     2     1     1
                   6786:           *     4     2     2     1     1
                   6787:           *     5 i=3 1 i=2 1     2     1
                   6788:           *     6     2     1     2     1
                   6789:           *     7 i=4 1     2     2     1
                   6790:           *     8     2     2     2     1
                   6791:           *     9 i=5 1 i=3 1 i=2 1     1
                   6792:           *    10     2     1     1     1
                   6793:           *    11 i=6 1     2     1     1
                   6794:           *    12     2     2     1     1
                   6795:           *    13 i=7 1 i=4 1     2     1    
                   6796:           *    14     2     1     2     1
                   6797:           *    15 i=8 1     2     2     1
                   6798:           *    16     2     2     2     1
                   6799:           */
1.141     brouard  6800:          codtab[h][k]=j;
1.186     brouard  6801:          /* codtab[12][3]=1; */
1.145     brouard  6802:          /*codtab[h][Tvar[k]]=j;*/
1.130     brouard  6803:          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]]);
1.126     brouard  6804:        } 
                   6805:       }
                   6806:     }
                   6807:   } 
                   6808:   /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]); 
                   6809:      codtab[1][2]=1;codtab[2][2]=2; */
                   6810:   /* for(i=1; i <=m ;i++){ 
                   6811:      for(k=1; k <=cptcovn; k++){
1.131     brouard  6812:        printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff);
1.126     brouard  6813:      }
                   6814:      printf("\n");
                   6815:      }
                   6816:      scanf("%d",i);*/
1.145     brouard  6817: 
                   6818:  free_ivector(Ndum,-1,NCOVMAX);
                   6819: 
                   6820: 
1.126     brouard  6821:     
1.186     brouard  6822:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  6823:   strcpy(optionfilegnuplot,optionfilefiname);
                   6824:   if(mle==-3)
                   6825:     strcat(optionfilegnuplot,"-mort");
                   6826:   strcat(optionfilegnuplot,".gp");
                   6827: 
                   6828:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   6829:     printf("Problem with file %s",optionfilegnuplot);
                   6830:   }
                   6831:   else{
                   6832:     fprintf(ficgp,"\n# %s\n", version); 
                   6833:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  6834:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   6835:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  6836:   }
                   6837:   /*  fclose(ficgp);*/
1.186     brouard  6838: 
                   6839: 
                   6840:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  6841: 
                   6842:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   6843:   if(mle==-3)
                   6844:     strcat(optionfilehtm,"-mort");
                   6845:   strcat(optionfilehtm,".htm");
                   6846:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  6847:     printf("Problem with %s \n",optionfilehtm);
                   6848:     exit(0);
1.126     brouard  6849:   }
                   6850: 
                   6851:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   6852:   strcat(optionfilehtmcov,"-cov.htm");
                   6853:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   6854:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   6855:   }
                   6856:   else{
                   6857:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   6858: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   6859: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n",\
                   6860:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   6861:   }
                   6862: 
                   6863:   fprintf(fichtm,"<html><head>\n<title>IMaCh %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   6864: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   6865: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n\
                   6866: \n\
                   6867: <hr  size=\"2\" color=\"#EC5E5E\">\
                   6868:  <ul><li><h4>Parameter files</h4>\n\
                   6869:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   6870:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   6871:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   6872:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   6873:  - Date and time at start: %s</ul>\n",\
                   6874:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   6875:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   6876:          fileres,fileres,\
                   6877:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   6878:   fflush(fichtm);
                   6879: 
                   6880:   strcpy(pathr,path);
                   6881:   strcat(pathr,optionfilefiname);
1.184     brouard  6882: #ifdef WIN32
                   6883:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   6884: #else
1.126     brouard  6885:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  6886: #endif
                   6887:          
1.126     brouard  6888:   
                   6889:   /* Calculates basic frequencies. Computes observed prevalence at single age
                   6890:      and prints on file fileres'p'. */
                   6891:   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart);
                   6892: 
                   6893:   fprintf(fichtm,"\n");
                   6894:   fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
                   6895: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   6896: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
                   6897:          imx,agemin,agemax,jmin,jmax,jmean);
                   6898:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   6899:     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   6900:     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   6901:     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   6902:     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
                   6903:     
                   6904:    
                   6905:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   6906:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   6907:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   6908: 
                   6909:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  6910:   /* For mortality only */
1.126     brouard  6911:   if (mle==-3){
1.136     brouard  6912:     ximort=matrix(1,NDIM,1,NDIM); 
1.186     brouard  6913:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.126     brouard  6914:     cens=ivector(1,n);
                   6915:     ageexmed=vector(1,n);
                   6916:     agecens=vector(1,n);
                   6917:     dcwave=ivector(1,n);
                   6918:  
                   6919:     for (i=1; i<=imx; i++){
                   6920:       dcwave[i]=-1;
                   6921:       for (m=firstpass; m<=lastpass; m++)
                   6922:        if (s[m][i]>nlstate) {
                   6923:          dcwave[i]=m;
                   6924:          /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
                   6925:          break;
                   6926:        }
                   6927:     }
                   6928: 
                   6929:     for (i=1; i<=imx; i++) {
                   6930:       if (wav[i]>0){
                   6931:        ageexmed[i]=agev[mw[1][i]][i];
                   6932:        j=wav[i];
                   6933:        agecens[i]=1.; 
                   6934: 
                   6935:        if (ageexmed[i]> 1 && wav[i] > 0){
                   6936:          agecens[i]=agev[mw[j][i]][i];
                   6937:          cens[i]= 1;
                   6938:        }else if (ageexmed[i]< 1) 
                   6939:          cens[i]= -1;
                   6940:        if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
                   6941:          cens[i]=0 ;
                   6942:       }
                   6943:       else cens[i]=-1;
                   6944:     }
                   6945:     
                   6946:     for (i=1;i<=NDIM;i++) {
                   6947:       for (j=1;j<=NDIM;j++)
                   6948:        ximort[i][j]=(i == j ? 1.0 : 0.0);
                   6949:     }
                   6950:     
1.145     brouard  6951:     /*p[1]=0.0268; p[NDIM]=0.083;*/
1.126     brouard  6952:     /*printf("%lf %lf", p[1], p[2]);*/
                   6953:     
                   6954:     
1.136     brouard  6955: #ifdef GSL
                   6956:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  6957: #else
1.126     brouard  6958:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  6959: #endif
1.126     brouard  6960:     strcpy(filerespow,"pow-mort"); 
                   6961:     strcat(filerespow,fileres);
                   6962:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   6963:       printf("Problem with resultfile: %s\n", filerespow);
                   6964:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   6965:     }
1.136     brouard  6966: #ifdef GSL
                   6967:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  6968: #else
1.126     brouard  6969:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  6970: #endif
1.126     brouard  6971:     /*  for (i=1;i<=nlstate;i++)
                   6972:        for(j=1;j<=nlstate+ndeath;j++)
                   6973:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   6974:     */
                   6975:     fprintf(ficrespow,"\n");
1.136     brouard  6976: #ifdef GSL
                   6977:     /* gsl starts here */ 
                   6978:     T = gsl_multimin_fminimizer_nmsimplex;
                   6979:     gsl_multimin_fminimizer *sfm = NULL;
                   6980:     gsl_vector *ss, *x;
                   6981:     gsl_multimin_function minex_func;
                   6982: 
                   6983:     /* Initial vertex size vector */
                   6984:     ss = gsl_vector_alloc (NDIM);
                   6985:     
                   6986:     if (ss == NULL){
                   6987:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   6988:     }
                   6989:     /* Set all step sizes to 1 */
                   6990:     gsl_vector_set_all (ss, 0.001);
                   6991: 
                   6992:     /* Starting point */
1.126     brouard  6993:     
1.136     brouard  6994:     x = gsl_vector_alloc (NDIM);
                   6995:     
                   6996:     if (x == NULL){
                   6997:       gsl_vector_free(ss);
                   6998:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   6999:     }
                   7000:   
                   7001:     /* Initialize method and iterate */
                   7002:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  7003:     /*     gsl_vector_set(x, 0, 0.0268); */
                   7004:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  7005:     gsl_vector_set(x, 0, p[1]);
                   7006:     gsl_vector_set(x, 1, p[2]);
                   7007: 
                   7008:     minex_func.f = &gompertz_f;
                   7009:     minex_func.n = NDIM;
                   7010:     minex_func.params = (void *)&p; /* ??? */
                   7011:     
                   7012:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   7013:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   7014:     
                   7015:     printf("Iterations beginning .....\n\n");
                   7016:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   7017: 
                   7018:     iteri=0;
                   7019:     while (rval == GSL_CONTINUE){
                   7020:       iteri++;
                   7021:       status = gsl_multimin_fminimizer_iterate(sfm);
                   7022:       
                   7023:       if (status) printf("error: %s\n", gsl_strerror (status));
                   7024:       fflush(0);
                   7025:       
                   7026:       if (status) 
                   7027:         break;
                   7028:       
                   7029:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   7030:       ssval = gsl_multimin_fminimizer_size (sfm);
                   7031:       
                   7032:       if (rval == GSL_SUCCESS)
                   7033:         printf ("converged to a local maximum at\n");
                   7034:       
                   7035:       printf("%5d ", iteri);
                   7036:       for (it = 0; it < NDIM; it++){
                   7037:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   7038:       }
                   7039:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   7040:     }
                   7041:     
                   7042:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   7043:     
                   7044:     gsl_vector_free(x); /* initial values */
                   7045:     gsl_vector_free(ss); /* inital step size */
                   7046:     for (it=0; it<NDIM; it++){
                   7047:       p[it+1]=gsl_vector_get(sfm->x,it);
                   7048:       fprintf(ficrespow," %.12lf", p[it]);
                   7049:     }
                   7050:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   7051: #endif
                   7052: #ifdef POWELL
                   7053:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   7054: #endif  
1.126     brouard  7055:     fclose(ficrespow);
                   7056:     
                   7057:     hesscov(matcov, p, NDIM, delti, 1e-4, gompertz); 
                   7058: 
                   7059:     for(i=1; i <=NDIM; i++)
                   7060:       for(j=i+1;j<=NDIM;j++)
                   7061:        matcov[i][j]=matcov[j][i];
                   7062:     
                   7063:     printf("\nCovariance matrix\n ");
                   7064:     for(i=1; i <=NDIM; i++) {
                   7065:       for(j=1;j<=NDIM;j++){ 
                   7066:        printf("%f ",matcov[i][j]);
                   7067:       }
                   7068:       printf("\n ");
                   7069:     }
                   7070:     
                   7071:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
                   7072:     for (i=1;i<=NDIM;i++) 
                   7073:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   7074: 
                   7075:     lsurv=vector(1,AGESUP);
                   7076:     lpop=vector(1,AGESUP);
                   7077:     tpop=vector(1,AGESUP);
                   7078:     lsurv[agegomp]=100000;
                   7079:     
                   7080:     for (k=agegomp;k<=AGESUP;k++) {
                   7081:       agemortsup=k;
                   7082:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   7083:     }
                   7084:     
                   7085:     for (k=agegomp;k<agemortsup;k++)
                   7086:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   7087:     
                   7088:     for (k=agegomp;k<agemortsup;k++){
                   7089:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   7090:       sumlpop=sumlpop+lpop[k];
                   7091:     }
                   7092:     
                   7093:     tpop[agegomp]=sumlpop;
                   7094:     for (k=agegomp;k<(agemortsup-3);k++){
                   7095:       /*  tpop[k+1]=2;*/
                   7096:       tpop[k+1]=tpop[k]-lpop[k];
                   7097:     }
                   7098:     
                   7099:     
                   7100:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   7101:     for (k=agegomp;k<(agemortsup-2);k++) 
                   7102:       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]);
                   7103:     
                   7104:     
                   7105:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
                   7106:     printinggnuplotmort(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
                   7107:     
                   7108:     printinghtmlmort(fileres,title,datafile, firstpass, lastpass, \
                   7109:                     stepm, weightopt,\
                   7110:                     model,imx,p,matcov,agemortsup);
                   7111:     
                   7112:     free_vector(lsurv,1,AGESUP);
                   7113:     free_vector(lpop,1,AGESUP);
                   7114:     free_vector(tpop,1,AGESUP);
1.136     brouard  7115: #ifdef GSL
                   7116:     free_ivector(cens,1,n);
                   7117:     free_vector(agecens,1,n);
                   7118:     free_ivector(dcwave,1,n);
                   7119:     free_matrix(ximort,1,NDIM,1,NDIM);
                   7120: #endif
1.186     brouard  7121:   } /* Endof if mle==-3 mortality only */
                   7122:   /* Standard maximisation */
1.126     brouard  7123:   else{ /* For mle >=1 */
1.132     brouard  7124:     globpr=0;/* debug */
1.186     brouard  7125:     /* Computes likelihood for initial parameters */
1.132     brouard  7126:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  7127:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   7128:     for (k=1; k<=npar;k++)
                   7129:       printf(" %d %8.5f",k,p[k]);
                   7130:     printf("\n");
1.186     brouard  7131:     globpr=1; /* again, to print the contributions */
1.126     brouard  7132:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   7133:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   7134:     for (k=1; k<=npar;k++)
                   7135:       printf(" %d %8.5f",k,p[k]);
                   7136:     printf("\n");
1.186     brouard  7137:     if(mle>=1){ /* Could be 1 or 2, Real Maximisation */
1.126     brouard  7138:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
                   7139:     }
                   7140:     
                   7141:     /*--------- results files --------------*/
1.187     brouard  7142:     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  7143:     
                   7144:     
                   7145:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7146:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7147:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7148:     for(i=1,jk=1; i <=nlstate; i++){
                   7149:       for(k=1; k <=(nlstate+ndeath); k++){
                   7150:        if (k != i) {
                   7151:          printf("%d%d ",i,k);
                   7152:          fprintf(ficlog,"%d%d ",i,k);
                   7153:          fprintf(ficres,"%1d%1d ",i,k);
                   7154:          for(j=1; j <=ncovmodel; j++){
1.190     brouard  7155:            printf("%12.7f ",p[jk]);
                   7156:            fprintf(ficlog,"%12.7f ",p[jk]);
                   7157:            fprintf(ficres,"%12.7f ",p[jk]);
1.126     brouard  7158:            jk++; 
                   7159:          }
                   7160:          printf("\n");
                   7161:          fprintf(ficlog,"\n");
                   7162:          fprintf(ficres,"\n");
                   7163:        }
                   7164:       }
                   7165:     }
                   7166:     if(mle!=0){
                   7167:       /* Computing hessian and covariance matrix */
                   7168:       ftolhess=ftol; /* Usually correct */
                   7169:       hesscov(matcov, p, npar, delti, ftolhess, func);
                   7170:     }
                   7171:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   7172:     printf("# Scales (for hessian or gradient estimation)\n");
                   7173:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   7174:     for(i=1,jk=1; i <=nlstate; i++){
                   7175:       for(j=1; j <=nlstate+ndeath; j++){
                   7176:        if (j!=i) {
                   7177:          fprintf(ficres,"%1d%1d",i,j);
                   7178:          printf("%1d%1d",i,j);
                   7179:          fprintf(ficlog,"%1d%1d",i,j);
                   7180:          for(k=1; k<=ncovmodel;k++){
                   7181:            printf(" %.5e",delti[jk]);
                   7182:            fprintf(ficlog," %.5e",delti[jk]);
                   7183:            fprintf(ficres," %.5e",delti[jk]);
                   7184:            jk++;
                   7185:          }
                   7186:          printf("\n");
                   7187:          fprintf(ficlog,"\n");
                   7188:          fprintf(ficres,"\n");
                   7189:        }
                   7190:       }
                   7191:     }
                   7192:     
                   7193:     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");
                   7194:     if(mle>=1)
                   7195:       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");
                   7196:     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");
                   7197:     /* # 121 Var(a12)\n\ */
                   7198:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   7199:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   7200:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   7201:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   7202:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   7203:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   7204:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   7205:     
                   7206:     
                   7207:     /* Just to have a covariance matrix which will be more understandable
                   7208:        even is we still don't want to manage dictionary of variables
                   7209:     */
                   7210:     for(itimes=1;itimes<=2;itimes++){
                   7211:       jj=0;
                   7212:       for(i=1; i <=nlstate; i++){
                   7213:        for(j=1; j <=nlstate+ndeath; j++){
                   7214:          if(j==i) continue;
                   7215:          for(k=1; k<=ncovmodel;k++){
                   7216:            jj++;
                   7217:            ca[0]= k+'a'-1;ca[1]='\0';
                   7218:            if(itimes==1){
                   7219:              if(mle>=1)
                   7220:                printf("#%1d%1d%d",i,j,k);
                   7221:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
                   7222:              fprintf(ficres,"#%1d%1d%d",i,j,k);
                   7223:            }else{
                   7224:              if(mle>=1)
                   7225:                printf("%1d%1d%d",i,j,k);
                   7226:              fprintf(ficlog,"%1d%1d%d",i,j,k);
                   7227:              fprintf(ficres,"%1d%1d%d",i,j,k);
                   7228:            }
                   7229:            ll=0;
                   7230:            for(li=1;li <=nlstate; li++){
                   7231:              for(lj=1;lj <=nlstate+ndeath; lj++){
                   7232:                if(lj==li) continue;
                   7233:                for(lk=1;lk<=ncovmodel;lk++){
                   7234:                  ll++;
                   7235:                  if(ll<=jj){
                   7236:                    cb[0]= lk +'a'-1;cb[1]='\0';
                   7237:                    if(ll<jj){
                   7238:                      if(itimes==1){
                   7239:                        if(mle>=1)
                   7240:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7241:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7242:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7243:                      }else{
                   7244:                        if(mle>=1)
                   7245:                          printf(" %.5e",matcov[jj][ll]); 
                   7246:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   7247:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   7248:                      }
                   7249:                    }else{
                   7250:                      if(itimes==1){
                   7251:                        if(mle>=1)
                   7252:                          printf(" Var(%s%1d%1d)",ca,i,j);
                   7253:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                   7254:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                   7255:                      }else{
                   7256:                        if(mle>=1)
                   7257:                          printf(" %.5e",matcov[jj][ll]); 
                   7258:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   7259:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   7260:                      }
                   7261:                    }
                   7262:                  }
                   7263:                } /* end lk */
                   7264:              } /* end lj */
                   7265:            } /* end li */
                   7266:            if(mle>=1)
                   7267:              printf("\n");
                   7268:            fprintf(ficlog,"\n");
                   7269:            fprintf(ficres,"\n");
                   7270:            numlinepar++;
                   7271:          } /* end k*/
                   7272:        } /*end j */
                   7273:       } /* end i */
                   7274:     } /* end itimes */
                   7275:     
                   7276:     fflush(ficlog);
                   7277:     fflush(ficres);
                   7278:     
                   7279:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7280:       ungetc(c,ficpar);
                   7281:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7282:       fputs(line,stdout);
1.126     brouard  7283:       fputs(line,ficparo);
                   7284:     }
                   7285:     ungetc(c,ficpar);
                   7286:     
                   7287:     estepm=0;
                   7288:     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);
                   7289:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   7290:     if (fage <= 2) {
                   7291:       bage = ageminpar;
                   7292:       fage = agemaxpar;
                   7293:     }
                   7294:     
                   7295:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
                   7296:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
                   7297:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
1.186     brouard  7298: 
                   7299:     /* Other stuffs, more or less useful */    
1.126     brouard  7300:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7301:       ungetc(c,ficpar);
                   7302:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7303:       fputs(line,stdout);
1.126     brouard  7304:       fputs(line,ficparo);
                   7305:     }
                   7306:     ungetc(c,ficpar);
                   7307:     
                   7308:     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);
                   7309:     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);
                   7310:     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);
                   7311:     printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   7312:     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);
                   7313:     
                   7314:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7315:       ungetc(c,ficpar);
                   7316:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7317:       fputs(line,stdout);
1.126     brouard  7318:       fputs(line,ficparo);
                   7319:     }
                   7320:     ungetc(c,ficpar);
                   7321:     
                   7322:     
                   7323:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   7324:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   7325:     
                   7326:     fscanf(ficpar,"pop_based=%d\n",&popbased);
                   7327:     fprintf(ficparo,"pop_based=%d\n",popbased);   
                   7328:     fprintf(ficres,"pop_based=%d\n",popbased);   
                   7329:     
                   7330:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7331:       ungetc(c,ficpar);
                   7332:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7333:       fputs(line,stdout);
1.126     brouard  7334:       fputs(line,ficparo);
                   7335:     }
                   7336:     ungetc(c,ficpar);
                   7337:     
                   7338:     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);
                   7339:     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);
                   7340:     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);
                   7341:     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);
                   7342:     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);
                   7343:     /* day and month of proj2 are not used but only year anproj2.*/
                   7344:     
                   7345:     
                   7346:     
1.145     brouard  7347:      /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
                   7348:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  7349:     
                   7350:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
                   7351:     printinggnuplot(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
                   7352:     
                   7353:     printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,\
                   7354:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,\
                   7355:                 jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);
                   7356:       
                   7357:    /*------------ free_vector  -------------*/
                   7358:    /*  chdir(path); */
                   7359:  
                   7360:     free_ivector(wav,1,imx);
                   7361:     free_imatrix(dh,1,lastpass-firstpass+1,1,imx);
                   7362:     free_imatrix(bh,1,lastpass-firstpass+1,1,imx);
                   7363:     free_imatrix(mw,1,lastpass-firstpass+1,1,imx);   
                   7364:     free_lvector(num,1,n);
                   7365:     free_vector(agedc,1,n);
                   7366:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   7367:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   7368:     fclose(ficparo);
                   7369:     fclose(ficres);
                   7370: 
                   7371: 
1.186     brouard  7372:     /* Other results (useful)*/
                   7373: 
                   7374: 
1.126     brouard  7375:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  7376:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   7377:     prlim=matrix(1,nlstate,1,nlstate);
                   7378:     prevalence_limit(p, prlim,  ageminpar, agemaxpar);
1.126     brouard  7379:     fclose(ficrespl);
                   7380: 
1.145     brouard  7381: #ifdef FREEEXIT2
                   7382: #include "freeexit2.h"
                   7383: #endif
                   7384: 
1.126     brouard  7385:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  7386:     /*#include "hpijx.h"*/
                   7387:     hPijx(p, bage, fage);
1.145     brouard  7388:     fclose(ficrespij);
1.126     brouard  7389: 
1.145     brouard  7390:   /*-------------- Variance of one-step probabilities---*/
                   7391:     k=1;
1.126     brouard  7392:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
                   7393: 
                   7394: 
                   7395:     probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   7396:     for(i=1;i<=AGESUP;i++)
                   7397:       for(j=1;j<=NCOVMAX;j++)
                   7398:        for(k=1;k<=NCOVMAX;k++)
                   7399:          probs[i][j][k]=0.;
                   7400: 
                   7401:     /*---------- Forecasting ------------------*/
                   7402:     /*if((stepm == 1) && (strcmp(model,".")==0)){*/
                   7403:     if(prevfcast==1){
                   7404:       /*    if(stepm ==1){*/
                   7405:       prevforecast(fileres, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
                   7406:       /* (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);*/
                   7407:       /*      }  */
                   7408:       /*      else{ */
                   7409:       /*        erreur=108; */
                   7410:       /*        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); */
                   7411:       /*        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); */
                   7412:       /*      } */
                   7413:     }
1.186     brouard  7414:  
                   7415:     /* ------ Other prevalence ratios------------ */
1.126     brouard  7416: 
1.127     brouard  7417:     /* Computes prevalence between agemin (i.e minimal age computed) and no more ageminpar */
                   7418: 
                   7419:     prevalence(probs, agemin, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   7420:     /*  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",\
                   7421:        ageminpar, agemax, s[lastpass][imx], agev[lastpass][imx], nlstate, imx, mint[lastpass][imx],anint[lastpass][imx], dateprev1, dateprev2, firstpass, lastpass);
                   7422:     */
1.126     brouard  7423: 
1.127     brouard  7424:     if (mobilav!=0) {
                   7425:       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   7426:       if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
                   7427:        fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   7428:        printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   7429:       }
1.126     brouard  7430:     }
                   7431: 
                   7432: 
1.127     brouard  7433:     /*---------- Health expectancies, no variances ------------*/
                   7434: 
1.126     brouard  7435:     strcpy(filerese,"e");
                   7436:     strcat(filerese,fileres);
                   7437:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   7438:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   7439:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   7440:     }
                   7441:     printf("Computing Health Expectancies: result on file '%s' \n", filerese);
                   7442:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' \n", filerese);
1.145     brouard  7443:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   7444:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   7445:           
                   7446:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.127     brouard  7447:        fprintf(ficreseij,"\n#****** ");
                   7448:        for(j=1;j<=cptcoveff;j++) {
                   7449:          fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   7450:        }
                   7451:        fprintf(ficreseij,"******\n");
                   7452: 
                   7453:        eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   7454:        oldm=oldms;savm=savms;
                   7455:        evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart);  
                   7456:       
                   7457:        free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.145     brouard  7458:       /*}*/
1.127     brouard  7459:     }
                   7460:     fclose(ficreseij);
                   7461: 
                   7462: 
                   7463:     /*---------- Health expectancies and variances ------------*/
                   7464: 
                   7465: 
                   7466:     strcpy(filerest,"t");
                   7467:     strcat(filerest,fileres);
                   7468:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   7469:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   7470:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   7471:     }
                   7472:     printf("Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); 
                   7473:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); 
                   7474: 
1.126     brouard  7475: 
                   7476:     strcpy(fileresstde,"stde");
                   7477:     strcat(fileresstde,fileres);
                   7478:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
                   7479:       printf("Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   7480:       fprintf(ficlog,"Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   7481:     }
                   7482:     printf("Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   7483:     fprintf(ficlog,"Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   7484: 
                   7485:     strcpy(filerescve,"cve");
                   7486:     strcat(filerescve,fileres);
                   7487:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
                   7488:       printf("Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
                   7489:       fprintf(ficlog,"Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
                   7490:     }
                   7491:     printf("Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
                   7492:     fprintf(ficlog,"Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
                   7493: 
                   7494:     strcpy(fileresv,"v");
                   7495:     strcat(fileresv,fileres);
                   7496:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   7497:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   7498:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   7499:     }
                   7500:     printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
                   7501:     fprintf(ficlog,"Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
                   7502: 
1.145     brouard  7503:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   7504:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   7505:           
                   7506:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   7507:        fprintf(ficrest,"\n#****** ");
1.126     brouard  7508:        for(j=1;j<=cptcoveff;j++) 
                   7509:          fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   7510:        fprintf(ficrest,"******\n");
                   7511: 
                   7512:        fprintf(ficresstdeij,"\n#****** ");
                   7513:        fprintf(ficrescveij,"\n#****** ");
                   7514:        for(j=1;j<=cptcoveff;j++) {
                   7515:          fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   7516:          fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   7517:        }
                   7518:        fprintf(ficresstdeij,"******\n");
                   7519:        fprintf(ficrescveij,"******\n");
                   7520: 
                   7521:        fprintf(ficresvij,"\n#****** ");
                   7522:        for(j=1;j<=cptcoveff;j++) 
                   7523:          fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   7524:        fprintf(ficresvij,"******\n");
                   7525: 
                   7526:        eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   7527:        oldm=oldms;savm=savms;
1.127     brouard  7528:        cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);  
1.145     brouard  7529:        /*
                   7530:         */
                   7531:        /* goto endfree; */
1.126     brouard  7532:  
                   7533:        vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   7534:        pstamp(ficrest);
1.145     brouard  7535: 
                   7536: 
1.128     brouard  7537:        for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.145     brouard  7538:          oldm=oldms;savm=savms; /* Segmentation fault */
1.161     brouard  7539:          cptcod= 0; /* To be deleted */
                   7540:          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  7541:          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  7542:          if(vpopbased==1)
                   7543:            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);
                   7544:          else
                   7545:            fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
                   7546:          fprintf(ficrest,"# Age e.. (std) ");
                   7547:          for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
                   7548:          fprintf(ficrest,"\n");
1.126     brouard  7549: 
1.128     brouard  7550:          epj=vector(1,nlstate+1);
                   7551:          for(age=bage; age <=fage ;age++){
                   7552:            prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
                   7553:            if (vpopbased==1) {
                   7554:              if(mobilav ==0){
                   7555:                for(i=1; i<=nlstate;i++)
                   7556:                  prlim[i][i]=probs[(int)age][i][k];
                   7557:              }else{ /* mobilav */ 
                   7558:                for(i=1; i<=nlstate;i++)
                   7559:                  prlim[i][i]=mobaverage[(int)age][i][k];
                   7560:              }
1.126     brouard  7561:            }
                   7562:        
1.128     brouard  7563:            fprintf(ficrest," %4.0f",age);
                   7564:            for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                   7565:              for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   7566:                epj[j] += prlim[i][i]*eij[i][j][(int)age];
                   7567:                /*  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   7568:              }
                   7569:              epj[nlstate+1] +=epj[j];
1.126     brouard  7570:            }
                   7571: 
1.128     brouard  7572:            for(i=1, vepp=0.;i <=nlstate;i++)
                   7573:              for(j=1;j <=nlstate;j++)
                   7574:                vepp += vareij[i][j][(int)age];
                   7575:            fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
                   7576:            for(j=1;j <=nlstate;j++){
                   7577:              fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
                   7578:            }
                   7579:            fprintf(ficrest,"\n");
1.126     brouard  7580:          }
                   7581:        }
                   7582:        free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   7583:        free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   7584:        free_vector(epj,1,nlstate+1);
1.145     brouard  7585:       /*}*/
1.126     brouard  7586:     }
                   7587:     free_vector(weight,1,n);
1.145     brouard  7588:     free_imatrix(Tvard,1,NCOVMAX,1,2);
1.126     brouard  7589:     free_imatrix(s,1,maxwav+1,1,n);
                   7590:     free_matrix(anint,1,maxwav,1,n); 
                   7591:     free_matrix(mint,1,maxwav,1,n);
                   7592:     free_ivector(cod,1,n);
                   7593:     free_ivector(tab,1,NCOVMAX);
                   7594:     fclose(ficresstdeij);
                   7595:     fclose(ficrescveij);
                   7596:     fclose(ficresvij);
                   7597:     fclose(ficrest);
                   7598:     fclose(ficpar);
                   7599:   
                   7600:     /*------- Variance of period (stable) prevalence------*/   
                   7601: 
                   7602:     strcpy(fileresvpl,"vpl");
                   7603:     strcat(fileresvpl,fileres);
                   7604:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
                   7605:       printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
                   7606:       exit(0);
                   7607:     }
                   7608:     printf("Computing Variance-covariance of period (stable) prevalence: file '%s' \n", fileresvpl);
                   7609: 
1.145     brouard  7610:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   7611:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   7612:           
                   7613:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   7614:        fprintf(ficresvpl,"\n#****** ");
1.126     brouard  7615:        for(j=1;j<=cptcoveff;j++) 
                   7616:          fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                   7617:        fprintf(ficresvpl,"******\n");
                   7618:       
                   7619:        varpl=matrix(1,nlstate,(int) bage, (int) fage);
                   7620:        oldm=oldms;savm=savms;
                   7621:        varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k,strstart);
                   7622:        free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
1.145     brouard  7623:       /*}*/
1.126     brouard  7624:     }
                   7625: 
                   7626:     fclose(ficresvpl);
                   7627: 
                   7628:     /*---------- End : free ----------------*/
                   7629:     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   7630:     free_ma3x(probs,1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   7631:   }  /* mle==-3 arrives here for freeing */
1.164     brouard  7632:  /* endfree:*/
1.141     brouard  7633:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
1.126     brouard  7634:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
                   7635:     free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   7636:     free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   7637:     free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   7638:     free_matrix(covar,0,NCOVMAX,1,n);
                   7639:     free_matrix(matcov,1,npar,1,npar);
                   7640:     /*free_vector(delti,1,npar);*/
                   7641:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   7642:     free_matrix(agev,1,maxwav,1,imx);
                   7643:     free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   7644: 
1.145     brouard  7645:     free_ivector(ncodemax,1,NCOVMAX);
                   7646:     free_ivector(Tvar,1,NCOVMAX);
                   7647:     free_ivector(Tprod,1,NCOVMAX);
                   7648:     free_ivector(Tvaraff,1,NCOVMAX);
                   7649:     free_ivector(Tage,1,NCOVMAX);
1.126     brouard  7650: 
                   7651:     free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
                   7652:     free_imatrix(codtab,1,100,1,10);
                   7653:   fflush(fichtm);
                   7654:   fflush(ficgp);
                   7655:   
                   7656: 
                   7657:   if((nberr >0) || (nbwarn>0)){
                   7658:     printf("End of Imach with %d errors and/or %d warnings\n",nberr,nbwarn);
                   7659:     fprintf(ficlog,"End of Imach with %d errors and/or warnings %d\n",nberr,nbwarn);
                   7660:   }else{
                   7661:     printf("End of Imach\n");
                   7662:     fprintf(ficlog,"End of Imach\n");
                   7663:   }
                   7664:   printf("See log file on %s\n",filelog);
                   7665:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  7666:   /*(void) gettimeofday(&end_time,&tzp);*/
                   7667:   rend_time = time(NULL);  
                   7668:   end_time = *localtime(&rend_time);
                   7669:   /* tml = *localtime(&end_time.tm_sec); */
                   7670:   strcpy(strtend,asctime(&end_time));
1.126     brouard  7671:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   7672:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  7673:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.126     brouard  7674: 
1.157     brouard  7675:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   7676:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   7677:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  7678:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   7679: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   7680:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   7681:   fclose(fichtm);
                   7682:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   7683:   fclose(fichtmcov);
                   7684:   fclose(ficgp);
                   7685:   fclose(ficlog);
                   7686:   /*------ End -----------*/
                   7687: 
                   7688: 
                   7689:    printf("Before Current directory %s!\n",pathcd);
1.184     brouard  7690: #ifdef WIN32
                   7691:    if (_chdir(pathcd) != 0)
                   7692:           printf("Can't move to directory %s!\n",path);
                   7693:    if(_getcwd(pathcd,MAXLINE) > 0)
                   7694: #else
1.126     brouard  7695:    if(chdir(pathcd) != 0)
1.184     brouard  7696:           printf("Can't move to directory %s!\n", path);
                   7697:    if (getcwd(pathcd, MAXLINE) > 0)
                   7698: #endif 
1.126     brouard  7699:     printf("Current directory %s!\n",pathcd);
                   7700:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   7701:   sprintf(plotcmd,"gnuplot");
1.157     brouard  7702: #ifdef _WIN32
1.126     brouard  7703:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   7704: #endif
                   7705:   if(!stat(plotcmd,&info)){
1.158     brouard  7706:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  7707:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  7708:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  7709:     }else
                   7710:       strcpy(pplotcmd,plotcmd);
1.157     brouard  7711: #ifdef __unix
1.126     brouard  7712:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   7713:     if(!stat(plotcmd,&info)){
1.158     brouard  7714:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  7715:     }else
                   7716:       strcpy(pplotcmd,plotcmd);
                   7717: #endif
                   7718:   }else
                   7719:     strcpy(pplotcmd,plotcmd);
                   7720:   
                   7721:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  7722:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  7723: 
                   7724:   if((outcmd=system(plotcmd)) != 0){
1.158     brouard  7725:     printf("gnuplot command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  7726:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  7727:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.150     brouard  7728:     if((outcmd=system(plotcmd)) != 0)
1.153     brouard  7729:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.126     brouard  7730:   }
1.158     brouard  7731:   printf(" Successful, please wait...");
1.126     brouard  7732:   while (z[0] != 'q') {
                   7733:     /* chdir(path); */
1.154     brouard  7734:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  7735:     scanf("%s",z);
                   7736: /*     if (z[0] == 'c') system("./imach"); */
                   7737:     if (z[0] == 'e') {
1.158     brouard  7738: #ifdef __APPLE__
1.152     brouard  7739:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  7740: #elif __linux
                   7741:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  7742: #else
1.152     brouard  7743:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  7744: #endif
                   7745:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   7746:       system(pplotcmd);
1.126     brouard  7747:     }
                   7748:     else if (z[0] == 'g') system(plotcmd);
                   7749:     else if (z[0] == 'q') exit(0);
                   7750:   }
                   7751:   end:
                   7752:   while (z[0] != 'q') {
                   7753:     printf("\nType  q for exiting: ");
                   7754:     scanf("%s",z);
                   7755:   }
                   7756: }

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